Solve for x please I need help ASAP

Solve For X Please I Need Help ASAP

Answers

Answer 1

Answer:

x > 2

Step-by-step explanation:

The inequality has constants and variables on both sides. It is convenient to find the variable term with the smallest (most negative) coefficient. Add the opposite of that term to both sides of the inequality.

2x -3 +5x > 11 -5x +5x . . . . added 5x

7x -3 > 11 . . . . . . . . . . . . . . . simplify

Now, find the constant on the side of the inequality that has the variable term. Add the opposite of that constant to both sides.

7x -3 +3 > 11 +3 . . . . . added 3

7x > 14 . . . . . . . . . . . . simplify

Finally, divide by the coefficient of x. It is positive, so we do not need to do anything to the relation symbol.

x > 14/7 . . . . . . . . . . divided by 7

x > 2 . . . . . . . . . . . . simplify . . . . This is your solution.


Related Questions

Members of the garner high school yearbook committee need to put 1,344 student photos on 24 pages in the yearbook they want to put the same number of students photos on each page how many student photos will they put on each page in the yearbook?

Answers

Answer:

  56 photos per page

Step-by-step explanation:

1344 photos/(24 pages) = 1344/24 photos/page = 56 photos per page

Answer:

i need points to ask my question

Step-by-step explanation:

Can someone help with 2.6

Answers

Answer:

B

Step-by-step explanation:

Theta is found using the sin-1 function. Start off with the sin of theta.

sin(theta) = opposite over hypotenuse.

sin(theta) = 3/8 = 0.375

Theta = Sin-1 (0.375)

Theta = 22.02 degrees.

Answer: B

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $55. For one performance, 20 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was $1700. What was the price of each kind of ticket?

Answers

Answer:

Price of advance ticket: 15$

Price of same-day ticket: $40

Step-by-step explanation:

Let [tex]y[/tex] be the price of one advance ticket and [tex]x[/tex] the cost of one same day ticket.  

We know that the combined cost of one advance ticket and one same-day ticket is $55, so

[tex]y+x=55[/tex] equation (1)

We also know that 20 advance tickets and 35 same-day tickets cost $1700, so

[tex]20y+35x=1700[/tex] equation (2)

Now, let's solve our system of equations step-by-step:

step 1. Solve for [tex]x[/tex] in equation (1)

[tex]y+x=55[/tex]

[tex]x=55-y[/tex] equation (3)

step 2. Replace equation (3) in equation (2)

[tex]20y+35x=1700[/tex]

[tex]20y+35(55-y)=1700[/tex]

[tex]20y+1925-35y=1700[/tex]

[tex]-15y=-225[/tex]

[tex]y=\frac{-255}{-15}[/tex]

[tex]y=15[/tex] equation (4)

step 3. Replace equation (4) in equation (3)

[tex]x=55-y[/tex]

[tex]x=55-15[/tex]

[tex]x=40[/tex]

We can conclude that the price of one advance ticket is $15 and the price of one same-day ticket is $40.

Technological advances in farming made it possible to increase the crop of potatoes from 1 acre by 4 tons. As a result, from a field of 320 acres 640 tons of potatoes more were collected than before from a field of 400 acres. How many tons of potatoes were collected before the new methods and how many after the introduction of the new technology?

Answers

Final answer:

The initial yield of potatoes per acre was 14 tons and after the introduction of the new technology, the yield increased to 18 tons. Therefore, 5600 tons were collected before the technological advances and 7200 tons were collected after.

Explanation:

This problem involves understanding linear equations. Let's denote the initial yield of potatoes per acre as 'x' tons and the yield after the introduction of the new technology as 'y' tons.

It's given that technological advances increase the yield by 4 tons, so we have the equation: y = x + 4. The problem also states that from a 320 acre field 640 more tons were collected than before from a 400-acre field. So, we can write it as: 320y = 400x + 640.

Solve these two equations to find the values of x and y. The initial yield of potatoes per acre (x) was 14 tons while the yield after the introduction of the new technology (y) was 18 tons. Therefore, 5600 tons of potatoes were collected before the technological advances and 7200 tons were collected after.

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Final answer:

Before the new methods were introduced, 640 tons of potatoes were collected. After the introduction of the new technology, 0 tons were collected.

Explanation:

To solve this problem, let's assume x is the number of tons of potatoes collected before the new methods were introduced, and y is the number of tons collected after the introduction of the new technology.

According to the given information, the new technology increased the crop of potatoes from 1 acre by 4 tons, so the increase in yield per acre is 4 tons.

From a field of 320 acres, 640 tons more were collected than before from a field of 400 acres. This means that the increase in yield from the reduced field of 320 acres is twice the increase in yield from the initial field of 400 acres.

Setting up the equation, we have:

(y - x) = 2(4)(320 - 400)

(y - x) = 2(4)(-80)

(y - x) = -640

We also know that the total increase in yield is 640 tons, so we have:

x + y = 640

To solve these equations, we can use substitution or elimination method. Solving for x in the second equation, we get:

x = 640 - y

Substituting x in the first equation, we have:

(y - (640 - y)) = -640

2y - 640 = -640

2y = 0

y = 0

Substituting y in the equation x + y = 640, we get:

x + 0 = 640

x = 640

Therefore, before the new methods were introduced, 640 tons of potatoes were collected, and after the introduction of the new technology, 0 tons were collected.

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In this formula, n represents the _____ .
a.
number of periods over which interest is calculated on the loan
b.
number of applicants for the loan
c.
number of years it will take to pay the loan back
d.
number of dollars the loan is for

Answers

Answer:

a. number of periods over which interest is calculated on the loan

Step-by-step explanation:

A formula should always be accompanied by an explanation of what it calculates and the meaning of each of its variables. This formula calculates P, the periodic payment on a loan of n periods at interest rate i (compounded) per period. The principal amount of the loan is PV.

___

The same formula can also be used to calculate an annuity from which payment P is received at the end of each of n periods. The amount invested is PV and the interest rate per period (compounded per period) is i.

Final answer:

'n' typically represents the number of periods over which interest is calculated in a loan. However, symbols' intended meanings can change depending upon the context.

Explanation:

In most financial and mathematical formulas, the symbol 'n' typically represents the number of periods over which interest is calculated on a loan. It's relevant to note that these periods could be months, years, or any other agreed-upon timeframe. Hence, the correct answer to your question is (a).

However, it's important to state that the representation of variables can change with different contexts. In some scenarios, 'n' could be used to denote the number of years it will take to pay the loan back, but that is not as common as using 'n' for the number of periods.

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Shavon has $23 to spend on school supplies. She buys a set of colored pencils for $5 and wants to spend the rest on notebooks. Each notebook costs $3.25. Circle symbols to create an inequity that models the the number of notebooks, n. Shavon can buy

Answers

Answer:

23-5≥3.25n

18≥3.25n

HELP!!! I NEED AN ANSWER SOON!!!!! FIRST TO ANSWER WILL GET BRAINLIEST!!!!!!!!!!! THANKS IN ADVANCE!!!!!!!!!

Answers

Answer:

a= 84.83

Step-by-step explanation:

so remember this: my teacher taught me this amazing strategy to remember the formulas

C=πd : cherry pie delicious

a=πr² : apple pie are too

and to find the area of the saded area, we need to find the area of the big circle and subtract that by the smaller circle area.

so, area of the big circle:

fill in the variables for a=πr²

you get: a=π6²

follow the pemdas, the order of operations. now on the state test don't write pemdas as your answer because people are stupid and they dont take that answer

you do the exponent first then multiply by pie.

you get: 6²=36

36xπ=113.09733552923255658465516179806

round that answer to the nearest tenths and get: 113.1

now time to find the area of the smaller circle!!!

fill in a=πr² and get: a=π3²

its not 6 this time because that was the radius for the bigger circle. the smaller circles radius is half the size as the bigger circle so divide that by two and get 3.

now solve:

a=π3²

a=π9

a=28.274333882308139146163790449516

round and get: 28.27

now subtract the the bigger circles area and the smaller circles area:

113.1 is the bigger circles area

28.27 is the smaller circles area.

113.1 - 28.27 = 84.83

a=84.83

plz give me brainliesttt

x-y-4z=-9
4x-3y-2z=-9
-x-3y-6z=-7

solve

Answers

Answer:

(x, y, z) = (-2, -1, 2)

Step-by-step explanation:

Your graphing calculator can usually solve systems of linear equations easily.

please answer with steps!! anyone of the questions in the photo worth 20 points

Answers

Explanation:

16. The first attachment shows a table of the given values and the function evaluated at those points.

Maximum: 11 at (4, -3)Minimum: -8 at (-4, 0)

___

17. The cost function for this problem is an expression of the total cost as a function of number of days open:

  c(x, y) = 40x + 50y

The system of inequalities expresses the constraints on delivery of glass and aluminum in terms of the number of days open:

140x + 100y ≥ 154060x + 180y ≥ 1440

To minimize costs, Center 1 should be open 6 15/16 days; Center 2 should be open 5 11/16 days. The cost function is minimized when it goes through the vertex of the feasible region that puts it closest to the origin.

___

18. (a) Jane can use the revenue function ...

  r(x, y) = 120x +70y

(b) The constraints on hours and numbers of visits are ...

x + (1/2)y ≤ 8 . . . . . . hours in the dayy ≤ 7 . . . . . . . . . . . . . constraint on follow-up visits

(c) For the given vertices, Jane's best choice is (4, 7), which will produce $970 in revenue for the office.

As is sometimes the case, the integer vertex closest to the corner of the feasible region is not the one that maximizes revenue. Jane's best choice is not on the problem's list. It is (5, 6), which will produce $1020 in revenue.

See the second attachment for the graph related to the problem.

_____

Apology

The graphs are out of order because my first attempt at 17 had an error. The corrected graph was added as the last attachment.

_____

Steps

In all of these linear programming problems, the "objective function" is the function of the problem variables that you want to maximize or minimize. In order to write it, you need to understand what the problem variables are and how they relate to the objective. In each of these problems, you are told what x and y stand for and their relation to the objective.

When considering the constraints, you must consider how the problem variables relate to any limits imposed. As in problem 17, sometimes the limits are minima (must deliver at least ...). In problem 18, the limits are maxima (8 hours in a day; no more than 7 follow-ups).

So, first read and understand the problem statement and the relationships it is telling you. Then, do what the problem asks you to do. Sometimes that will involve finding a solution; sometimes not.

Often, you can use logic to help you understand whether your solution is reasonable. In the doctor problem (18), the doctor makes more money per hour doing follow-ups, so would probably want to maximize those (4, 7). However, doing that leaves a half-hour with zero revenue. That last hour is better spent seeing a new patient ($120) than seeing only one follow-up patient ($70).

What value is added to both sides of the equation x^2-2x=10 in order to solve by completing the square?
-2
-1
1
2

Answers

Answer:

1

Step-by-step explanation:

Add the square of half the x coefficient: (-2/2)^2 = 1.

Let f(x)= log x
what is the average rate of change of f(x) from 2-3

round to the nearest hundredth

Answers

Final answer:

The average rate of change of the log function f(x) = log x from 2 to 3 is approximately 0.18, calculated using the formula for average rate of change.

Explanation:

In mathematics, the average rate of change of a function between two points is defined as the change in the function's output divided by the change in its input. In this case, we want to find the average rate of change of f(x) = log x from 2 to 3.

The formula for this calculation is: (f(b) - f(a)) / (b - a). In this case, a = 2 and b = 3.

Step 1: Plug the values of a and b into the function log(x): f(2) = log(2) and f(3) = log(3).

Step 2: Subtract f(2) from f(3) and then divide by the difference between 2 and 3: (log(3) - log(2)) / (3 - 2) = (0.4771 - 0.3010) / 1 = 0.1761.

So, the average rate of change of the function f(x) = log x from 2 to 3 is approximately 0.18 when rounded to the nearest hundredth.

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Final answer:

To find the average rate of change of f(x) = log x from 2 to 3, calculate the difference in the values of f(x) and divide it by the difference in the values of x. The average rate of change is approximately 0.41.

Explanation:

To find the average rate of change of f(x) = log x from 2 to 3, we need to calculate the difference in the values of f(x) at x=2 and x=3 and divide it by the difference in the values of x.

Finding the values of f(2) and f(3) we have: f(2) = log 2 ≈ 0.69 and f(3) = log 3 ≈ 1.10.

The average rate of change is calculated as:

(f(3) - f(2)) / (3 - 2)

Substituting the values, we get:

(1.10 - 0.69) / (3 - 2) ≈ 0.41

Therefore, the average rate of change of f(x) from 2 to 3 is approximately 0.41.

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Find all pairs of natural numbers which can be the solution to the equation: x+y=11

Answers

Answer:

How many solution does ++=11

x

+

y

+

z

=

11

have where ,,

x

,

y

,

z

are non-negative integers. In light of the restrictions, its clear that ,,∈{0,1,2,..11}

x

,

y

,

z

{

0

,

1

,

2

,

.

.11

}

. So, at face value I would assign a value for

x

and determine the different combinations that

y

and

z

can hold. For example,

For =0

x

=

0

, we have +=11

y

+

z

=

11

. With writing them out I found that there are 12

12

different assigned combinations for

y

and

z

that satisfy the equation. For =1

x

=

1

, I got 11

11

. Consequently, the pattern becomes clear whereby each one takes a value less by one. Hence, the number of solutions is 1+2+3+4+5+6+7..+12=78

1

+

2

+

3

+

4

+

5

+

6

+

7..

+

12

=

78

. I was wondering if there is an easier method perhaps with combinations equation (,)

C

(

a

,

b

)

..?

Step-by-step explanation:

Given that x and y are positive numbers, the following pairs of x and y add to 11:

(x,y)

1,10
2,9
3,8
4,7
5,6
6,5
7,4
8,3
9,2
10,1

Given: circle k(O), DC ∥ AB , AC ∩ DB =0, m AD =124°Find: m∠C, m∠AOB.

Answers

Answer:

Part 1) The measure of angle C is [tex]62\°[/tex]

Part 2) The measure of angle AOB is [tex]56\°[/tex]

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<C=\frac{1}{2}(arc\ AD)[/tex]

we have

[tex]arc\ AD=124\°[/tex]

substitute

[tex]m<C=\frac{1}{2}(124\°)=62\°[/tex]

step 2

Find the measure of angle AOB

we know that

In the isosceles triangle  ODC

∠D=∠C=62°

Remember that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

∠D+∠C+∠DOC=180°

substitute the values

62°+62°+∠DOC=180°

∠DOC=180°-124°=56°

we have that

∠AOB=∠DOC -----> by vertical angles

so

∠AOB=56°

40 points... Please help.
I am doing a project for geometry and need the ratio for both figures. The figure is a bird house and I am doubling the size. What would the ratio be?

Answers

Answer:

The ratio would be 1:2 my guy,if you're trying to triple the size, 1:3 if your trying to quadruple the size, it'd be 1:4, etc, etc

Using the linear equation 4x–3y=12, express: b x in terms of y

Answers

Answer:

y =  [4(x-3)]/3

Step-by-step explanation:

4x = 12+3y

3y = 4x-12

y =  [4(x-3)]/3

Best regards

Ben is 12 years older than Ishaan. Ben and ishaan first met two years ago. Three years ago, Ben was 4 times as old as Ishaan.

Answers

Answer:

ok what is tthe question

Step-by-step explanation:

Write a linear equation that intersects y = x2 at two points. Then write a second linear equation that intersects y = x2 at just one point, and a third linear equation that does not intersect y = x2. Explain how you found the linear equations.

Answers

Answer:

y = xy = x - 1/4y = x - 1/2

Step-by-step explanation:

1. Any linear equation that describes a line with non-zero slope through the vertex of the parabola will intersect the parabola at two points (the vertex being one of them). A simple equation for such a line is y=x.

__

2. Differentiating the equation, you find that the slope of the curve y = x^2 is 2x, so if we choose a line with a slope of 1, it will go through the point on the curve with x-value equal to 1/2. The y-value at that point is y = (1/2)^2 = 1/4, so the y-intercept of the line must be -1/4.

The line that intersects the curve at one point (1/2, 1/4) is tangent at that point. It has equation y = x -1/4.

__

3. Any line with the same slope as the tangent line, but a more negative y-intercept, will not intersect the parabola at all. Such a line is y = x -1/2.

_____

Truth be told, I found the line y = x -1/2 did not intersect the parabola at all when I thought I was writing the equation for the tangent line. It was an answer to part of your question, just not the part I originally intended.

Answer:

A linear equation that intersects at two points would be y = 1x. A linear equation that only has one intersect point would be y=0. finally, a linear equation that has no intersect point would be y = x - 4. I could these by plotting them on a graph and finding out that these will work.

Step-by-step explanation:

Find the range of y=4sin2x+3

Answers

Answer:

  [-1, 7]

Step-by-step explanation:

If you mean ...

  y = 4sin(2x) +3

then you can substitute the range of the sine function into the equation and evaluate it to find the range of y.

The range of sin( ) is [-1, 1], so the range of y is ...

  4[-1, 1] +3 = [4(-1)+3, 4(1)+3] = [-1, 7]

_____

Comment on the problem statement

The range of y = 4sin²(x)+3 will be different, and the range of 4sin(2x+3) will be different yet. It is usually a good idea to use parentheses around function arguments.

Answer:

-1,7

Step-by-step explanation:

got it right on odessyware

One way to determine the surface area a this cylinder is to-

a. add the areas of both bases to the rectangular area around the cylinder

b. add the areas of both bases

c. multiply the area of both the base by height

d. multiply the rectangular area around the cylinder by pi

please help asap!! i will mark brainiest if correct!!

Answers

Answer:

  a. add the areas of both bases to the rectangular area around the cylinder

Step-by-step explanation:

None of the other choices has anything to do with the surface area of a cylinder.

_____

Use your sense of what the question is asking about.

ANSWER:

A.  is the only answer choice talking about surface area....

Solve the triangle given two side lengths and one angle measure.

Answers

Answer:

B ≈ 64.9°C ≈ 45.1°c ≈ 82.2

Step-by-step explanation:

The Law of Sines is helpful when you know one side and its opposite angle.

  a/sin(A) = b/sin(B) = c/sin(C)

Rearranging gives you ...

  B = arcsin(b/a·sin(A)) = arcsin(105/109·sin(70°)) ≈ 64.85138°

  C = 180° -B -A = 45.14862°

  c = a·sin(C)/sin(A) ≈ 82.23360

_____

Comment on the solution method

You can use the Law of Cosines if you like. The formulation would be ...

  a² = b² + c² -2bc·cos(A) . . . . where a, b, and A are known

This gives a quadratic in c, the positive solution being the answer you're looking for. Then, either the law of sines or the law of cosines can be used to find one of the other two angles.

  c = 105·cos[70°] + √[856 + 11025·cos[70°]²]

  c ≈ 82.2336

Please help someone..

Answers

Answer:  [tex]\bold{\dfrac{1}{5}}[/tex]

Step-by-step explanation:

[tex]\dfrac{DF}{AK}=\dfrac{4}{20}=\large\boxed{\dfrac{1}{5}}[/tex]

I'd appreciate an answer to this.

Here are the 30 best lifetime baseball batting averages of all time, arranged in order from lowest to highest.

Answers

Answer:

  C.  0.366

Step-by-step explanation:

In this stemplot, it is apparent that the number on the right is the least-significant digit (thousandths digit) of the batting average. The two most-significant digits are to the left of the vertical line.

Hence the value 0.36 | 6 represents an average that is 36 hundredths plus 6 thousandths: 0.366.

Genise is making cookies. She needs 1 1/2 cups of flour for one batch, but she wants to make 2 1/2 batches. Write an equation that can be used to find how many cups of flour genise will need.

Answers

To calculate how many cups of flour Genise will need for 2 1/2 batches, multiply the amount of flour for one batch (1 1/2 cups) by the number of batches (2 1/2). This results in 3 3/4 cups of flour needed.

To find how many cups of flour Genise will need, we start by writing an equation that reflects the amount of flour needed for one batch times the number of batches she plans to make. Since she needs 1 1/2 cups of flour for one batch and she wants to make 2 1/2 batches, we set up the multiplication:

flour_needed = (cups of flour per batch) * (number of batches)

So the equation will be:

flour_needed = 1 1/2 * 2 1/2

Converting mixed numbers to improper fractions for easier multiplication, we have:

flour_needed = 3/2 * 5/2 = 15/4 cups

Then, we convert the improper fraction back to a mixed number, which is:

flour_needed = 3 3/4 cups of flour

a semielliptic archway has a height of 15 feet at the center and a width of 50 feet. the 50 foot width consists of a two lane road. can a truck that is 12 feet high and 14 feet wide drive under the archway without going into the other lane?

Answers

Final answer:

The truck cannot drive under the archway since it is taller than the highest point of the archway.

Explanation:

To determine if a truck can drive under the semielliptic archway without going into the other lane, we need to compare the height and width of the truck to the height and width of the archway. The truck has a height of 12 feet and a width of 14 feet. The highest point of the archway is at its center, which is 15 feet high. So, the truck will not fit under the archway since it is taller than the highest point of the archway.

PLEASE HELP ASAP


Shade the following: (B - A') intersects (A - C)


Answers

Step-by-step explanation:

Look at the picture.

A' - The complement of a set is the set of all elements in the given universal set U that are not in A.

B - A - The set difference of sets A and B is the set of all elements in A that are not in B.

A ∩ B - The intersection of sets A and B is the set of all distinct elements that are in both A and B.

What series of transformations from △ABC to △DEF shows that △ABC ≌ △DEF?


a). a reflection across the y-axis followed by a translation of 1 unit right and 2 units up


b). a clockwise rotation of 90º about the origin followed by a translation of 4 units right and 4 units up


c). a reflection across the x-axis followed by a translation of 1 unit right and 1 unit down


d). a reflection across the line y=x followed by a positive rotation of 270º about the center

Answers

Answer:

  c). a reflection across the x-axis followed by a translation of 1 unit right and 1 unit down

Step-by-step explanation:

You want to know the transformations that map ΔABC onto ΔDEF.

Transformations

The answer choices would ask us to consider some combination of the following transformations:

reflection across the y-axis: (x, y) ⇒ (-x, y)reflection across the x-axis: (x, y) ⇒ (x, -y)reflection across the line y=x: (x, y) ⇒ (y, x)clockwise rotation 90°: (x, y) ⇒ (y, -x)positive rotation 270°: (x, y) ⇒ (y, -x) . . . same as 90° CWtranslation by (h, k): (x, y) ⇒ (x+h, y+k) . . . h units right, k units up

Application

We can apply these relations to the answer choices to see if they provide the desired mapping ...

A(-4, 1) ⇒ D(-3, -2)B(-6, 5) ⇒ E(-5, -6)C(-1, 2) ⇒ F(0, -3)

a) Reflection across the y-axis, translation (1, 2)

  A(-4, 1) ⇒ A'(4, 1) . . . reflection

  A'(4, 1) ⇒ D(4+1, 1+2) = D(5, 3) . . . . not the correct point

b) Rotation CW 90°, translation (4, 4)

  A(-4, 1) ⇒ A'(1, 4) . . . rotation 90° CW

  A'(1, 4) ⇒ D(1+4, 4+4) = D(5, 8) . . . . not the correct point

c) Reflection across the x-axis, translation (1, -1)

  A(-4, 1) ⇒ A'(-4, -1) . . . reflection

  A'(-4, -1) ⇒ D(-4+1, -1+(-1)) = D(-3, -2) . . . . the correct location of D

d) Reflection across y=x, rotation CCW 270°

  A(-4, 1) ⇒ A'(1, -4) . . . reflection

  A'(1, -4) ⇒ D(-4, -1) . . . . not the correct point

The correct series of transformations is reflection across the x-axis followed by translation 1 right and 1 down.

Can someone please help me on this problem? I don’t know how to do it!!!

Answers

Answer:

  (x^(11/4))(y^(5/9))

Step-by-step explanation:

The applicable rules of exponents are ...

  (x^a)(x^b) = x^(a+b)

  (x^a)/(x^b) = x^(a-b) . . . . . no surprise, since 1/x^b = x^-b

_____

Your expression simplifies to ...

  x^((5/4) -(-5/4) -(-1/4)) · y^((1/18) -(-1/2))

  = x^(5/4 +5/4 +1/4) · y^(1/18 +1/2)

  = x^(11/4) · y^(1/18 +9/18)

  = x^(11/4) · y^(5/9)

Decide if the answer to 5/7×6 is less than, greater than or equal to 6
less than
equal to
greater than

Answers

Answer:

less than

Step-by-step explanation:

The multiplying fraction (5/7) is less than 1 so its product with 6 will be less than 6.

___

5/7·6 = 30/7 = 4 2/7 < 6

Final answer:

The expression 5/7×6 results in a value that is less than 6. This is because the value of 5/7 is less than 1, and multiplying it by 6 gives a result that is consequently less than 6.

Explanation:

To determine whether 5/7×6 is less than, greater than, or equal to 6, we perform the multiplication. Multiplying 5/7 by 6 can be viewed as 5 multiplied by 6, which equals 30, and then that result divided by 7. So the calculation is 30÷7, which equals approximately 4.29. Since 4.29 is less than 6, we can conclude that 5/7×6 is less than 6.

When solving mathematical problems involving multiplication and fractions, it's important to eliminate terms wherever possible to simplify the algebra and to check the answer to see if it is reasonable. Comparing the original fraction to 1 before the multiplication can help us understand whether the result will be greater or less than the number we're multiplying. In this case, since 5/7 is less than 1, multiplying it by 6 will give a result that is less than the original number, which is 6.

A granola recipe calls for 3/4 of a cup of peanuts and 2/3 of cup of raisins. how many cups of raisins should be used for every one cup of peanuts ​

Answers

Answer:

how many cups are needed for the recipe

Step-by-step explanation:

20 COINS
Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 2r and height 2h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A?

Answers

The surface area of a cylinder is given by

[tex]A_A = 2\pi rh[/tex]

which is the surface area of cylinder A.

To compute the surface area of cylinder B, we have to map [tex](r,h)\mapsto (2r, 2h)[/tex] and we have the following formula

[tex]A_B = 2\pi(2r)(2h)[/tex]

If we manipulate the second expression, we have

[tex] A_B = 8\pi rh[/tex]

Which implies

[tex]\dfrac{A_B}{A_A} = \dfrac{8\pi rh}{2\pi rh} = 4 [/tex]

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