If 7 is added to twice a number and this sum is multiplied by 5 , the result is the same as if the number is multiplied by 6 and 11 is added to the product. what is the number?

Mathematics High School

If 7 is added to twice a number and this sum is multiplied by 5 â, the result is the same as if the number is multiplied by 6 and 11 is added to the product. what is theâ number?

Answers

Answer 1

(2x+7)*5 = 6x+11

10x+35 = 6x+11

4x+35 =11

4x=-24

x=-6

the number is -6

Related Questions

which best describes the diameter of a circle?

A. The distance from the center to any point of the circle
B. The length of a chord that contains the center of the circle
C. The distance around the circle
D. The length of a chord that does not contain the center of the circle

Answers

Which best describes the diameter of a circle?

Statements

A. The distance from the center to any point of the circle

This statement describes the radius of the circle

B. The length of a chord that contains the center of the circle

This statement describes the diameter of the circle

C. The distance around the circle

This statement describes the circumference of the circle

D. The length of a chord that does not contain the center of the circle

This statement describes a line segment linking any two points on a circle that does not contain the center of the circle

therefore

the answer is the option

B. The length of a chord that contains the center of the circle

The correct answer is:

B) The length of a chord that contains the center of the circle

Explanation:

A chord is a segment that goes across a circle, with both endpoints on the circle.

A diameter goes through the center of a circle and has both endpoints on the circle; this makes it a chord that goes through the center.

Hot dogs come in packs of 10 and buns come in packs of 8. Whats the least amount of packs you can buy to have the same amount of hot dogs and buns.

Answers

you'd need 8 packs of hot dogs and ten packs of buns!

Sec^-1(-square root 2)

Answers

[tex]\bf \textit{let's say that, is an angle }\theta\quad so\qquad sec^{-1}(-\sqrt{2})=\theta \\\\\\ \textit{this means}\qquad sec(\theta )=-\sqrt{2}\quad but\quad sec(\theta)=\cfrac{1}{cos(\theta)}\qquad then \\\\\\ \cfrac{1}{cos(\theta)}=-\sqrt{2}\implies \cfrac{1}{-\sqrt{2}}=cos(\theta ) \\\\\\ \textit{now, if we rationalize the denominator, we get }-\cfrac{\sqrt{2}}{2} \\\\\\ -\cfrac{\sqrt{2}}{2}=cos(\theta )\implies cos^{-1}\left( -\frac{\sqrt{2}}{2} \right)=cos^{-1} [cos(\theta )][/tex]

[tex]\bf cos^{-1}\left( -\frac{\sqrt{2}}{2} \right)=\measuredangle \theta \implies \measuredangle \theta = \begin{cases} \frac{3\pi }{4}\\ \frac{5\pi }{4} \end{cases}[/tex]

If the sum of 7 and 9 is more than 12 add 3; if less, subtract 2. the correct answer is

Answers

The sum of 7 and 9 is:

7 + 9 = 16

The sum which is 16 is greater than 12. Therefore we add 3 to the sum:

16 + 3 = 19

Therefore the correct answer to this problem is 19.

For the function f(x) = –5x, which ordered pair will be a point on the graph of the function?
A.
(–5, 1)
B.
(2, 10)
C.
(15, –3)
D.
(0, 0)

Answers

f(x) = –5x
when x = 0, f(x) = –5(0) = 0

answer is D.
(0, 0)

Answer:

0,0 i think.. not sure so dont get mad at me

Step-by-step explanation:

what is the value of x to the nearest tenth

Answers

12.0 is the value of x to the nearest tenth

I think it is 12 because the approximate diameter is 24 and to x is the radius. To find the radius, you take the diameter and divide by two.

In a large bag of marbles, 30% of them are red. a child chooses 4 marbles from this bag. if the child chooses the marbles at random, what is the chance that the child gets exactly three red marbles? 0.0756 0.1764 0.2646 0.0810

Answers

Use the binomial distribution with n = 4, p = 0.3, q = 0.7 , formula

P[k] = nCk * p^k *q^(n-k)

P[3] = 4c3 * 0.3^3 * 0.7 = 0.0756

A triangle has side lengths 9, 10, and 12. is it acute, obtuse, or right? explain.

Answers

Let "a", "b" and "с" be sides of the triangle ("с" is the longest side). The triangle will be:
right if a² + b² = c²
аcute if a² + b² > c²
obtuse if a² + b² < c²

We have a=9, b=10 and c=12

a² + b² = 9² + 10² = 81 + 100 = 181
and
c² = 12² = 144

181 > 144 ⇒ аcute triangle.

Final answer:

By applying the Pythagorean theorem and comparing the square of the longest side to the sum of the squares of the other two sides, it is determined that a triangle with sides of 9, 10, and 12 is an acute triangle since 144 is less than 181.

Explanation:

To determine whether a triangle with side lengths of 9, 10, and 12 is acute, obtuse, or right, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) equals the sum of the squares of the lengths of the other two sides. If this condition is met, the triangle is right-angled. If the square of the longest side is greater than the sum of the squares of the other two sides, the triangle is obtuse. Conversely, if the square of the longest side is less than the sum of the squares of the other two sides, the triangle is acute.

For this triangle, the side lengths squared are:

9² = 8110² = 10012² = 144

Adding the squares of the two shorter sides: 81 + 100 = 181.

Since 144 < 181, the square of the longest side (12²) is less than the sum of the squares of the other two sides, indicating that this triangle is acute.

Choose the missing exponent to create a polynomial: 3x^4+4x^2-9x^-?+2
A)2
B)3
C)-9
D)7
E)4

Answers

any given polynomial must have all positive exponents over the placeholder
we see we are given 9x^-?
so (-) times what=positive?
the answer is negative
so we must pick a negative exponent

so the answer is C -9

For a Polynominal 3x^4+4x^2-9x^-?+2 the missing part is mathematically given as

3x^4+4x^2-9x^-(-9)+2

-9, Option C is correct

What is a Polynomial?

Polynomials are summations of elements of the format of kxn, having k as any digit and n is +ve integer

Generally, the expression for the Polynominal is mathematically given as

3x^4+4x^2-9x^-?+2

In conclusion, the Polynominal must have all positive exponents, hence the value must be negative to give a positive exponent

Hence, -9 is correct

Answers

sandbox 1 area = 5*5 = 25 square m

sandbox 2

25=w*(3w+1)=

3w^2+w-25=0

w=2.7248 (round to 2.72 m)

2.72*3=8.16+1 = 9.16

Longest side = 9.16 meters

Answer:

C.) 9.16 meters

Step-by-step explanation:

We are given that the two sandboxes have same area and the equation is given by 25 = w*(3w+1).

Now, we simplify this equation in order to find the value of unknown variable 'w'.

i.e. 25 = 3[tex]w^{2}[/tex]+w

i.e. 3[tex]w^{2}[/tex]+w-25=0

The two factors of this quadratic equation are w=2.72 and w= -3.05.

But, as 'w' represents the length of the box, so it cannot be negative.

Therefore, w = 2.72

So, the longest side of the box is (3w+1) = 3*2.72+1 = 9.16 meter

Hence, the length of longest side to the nearest hundredth is 9.16 meter.

The average grade mark received on 4 tests was 94. if he drops his lowest grade of 85, what will his new average be

Answers

After dropping his lowest marks of 85 the new average test mark is 97.

Given, average test score of 4 tests is 94.

Average concept:

Average = sum of all the observations / total number of observations.

Average of 4 test marks = 94

94 = Sum of all the marks obtained in 4 tests / 4

Sum of all the marks obtained in 4 tests = 94 × 4

Sum of all the marks obtained in 4 tests = 376

Now the lowest marks of 85 are removed,

Remaining sum of 3 test marks = 376 - 85

Remaining sum of 3 test marks = 291

New average of 3 tests:

Average of 3 test marks = 291/3

Average of 3 test marks = 97

Know more about average,

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You're 35 years old now, and you want to purchase life insurance which will cover your spouse for your lost income in the event of your death. You want this policy to last until what would be your normal retirement age of 65. Based on the given information, what is the best policy to buy?

Answers

a 30 year term policy .

30 year term policy beacause until you retire you want to be insured.

If conner spent $36 to buy a new collar for each of his dogs.if each collar cost $6,how many dogs dose conner have?

Answers

6*6=36 you simply just divide the 36 by 6 and you get 6 as your answer

Can square root of 32 be simplified

Answers

Well let's check

√32 = √8*4 = 4√2

Yes it can

Hey!

First, we have to break 32 into its primes.
[tex]32=2^5[/tex]
[tex]=\sqrt{2^5}[/tex]
Since we don't want an odd number, we can split it into two.
[tex]=\sqrt{2^4\cdot \:2}[/tex]
[tex]=\sqrt{2}\sqrt{2^4}[/tex]
Since we want to remove one of the square roots, we have to do something like this: [tex]\sqrt{2^4}=2^{\frac{4}{2}}=2^2[/tex]
We would be left with,
[tex]=2^2\sqrt{2}[/tex]
Simplify the exponent.
[tex]=4\sqrt{2}[/tex]
This tells us that the square root of 32 can be simplified.

Thanks!
-TetraFish

Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 17 ft by 17 ft by 2 in. for a patio if the concrete costs $40.00 per cubic yard? (1 cubic yard = 27 cubic feet)

Answers

Answer:

It will cost approximately $71.360.

Step-by-step explanation:

Given,

The dimension of the concrete is 17 ft by 17 ft by 2 in.

1 ft = 12 inches ⇒ 2 inches = 1/12 × 2 = 1/6 ft.

Thus, the dimension of the concrete is 17 ft by 17 ft by 1/6 ft.

Now, the volume of the concrete = 17 × 17 × 1/6

[tex]=\frac{289}{6}\text{ cubic ft}[/tex]

We know that,

1 cubic yard = 27 cubic feet

[tex]\implies 1 \text{ cubic feet}=\frac{1}{27}\text{ cubic yards}[/tex]

[tex]\implies \frac{289}{6}\text{ cubic ft}=\frac{289}{6}\times \frac{1}{27} = \frac{289}{162}\text{ cubic yards}[/tex]

Since, the concrete costs $40.00 per cubic yard.

Hence, the total cost of concrete = [tex]\frac{289}{162}\times 40=\frac{11560}{162}=\$71.3580247\approx \$71.360[/tex]

The total cost of concrete is,

C = $71.4

We have to give that,

Dimensions of the concrete are,

17 ft by 17 ft by 2 in.

And, the concrete costs $40.00 per cubic yard.

Since we know that,

1 feet = 12 inches

Hence,

2 inches = 2/12 = 1/6 feet

Thus, the dimension of the concrete is 17 ft by 17 ft by 1/6 ft.

So, the Volume of the concrete,

V = 17 x 17 x 1/6

V = 48.2 cubic feet

Here, 1 cubic yard = 27 cubic feet

And, the concrete costs $40.00 per cubic yard.

Hence, the total cost of concrete is,

C = 48.2 × 40 / 27

C = $71.4

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What is the work done by moving in the force field f~ (x, y) = h2x 3 + 1, 2y 4 i along the parabola y = x 2 from (−1, 1) to (1, 1)?

a.compute directly

b.use the theorem?

Answers

The force field seems to be

[tex]\mathbf f(x,y)=\langle2x^3+1,2y^4\rangle[/tex]

(though it's not entirely clear whether that's it...)

The parabolic path can be parameterized by

[tex]\mathbf r(t)=\langle t,t^2\rangle[/tex]

where [tex]-1\le t\le1[/tex]. Then the work done by the field along the path is

[tex]\displaystyle\int_C\mathbf f(x,y)\cdot\mathrm d\mathbf r=\int_{t=-1}^{t=1}\langle2t^3+1,2t^8\rangle\cdot\langle1,2t\rangle\,\mathrm dt[/tex]
[tex]=\displaystyle\int_{-1}^1(2t^3+1+4t^9)\,\mathrm dt[/tex]
[tex]=2[/tex]

Not sure what theorem is being referred to in part (b). Perhaps you mean the gradient theorem? In which case you would need to show that there's a scalar function [tex]f(x,y)[/tex] such that [tex]\nabla f(x,y)=\mathbf f(x,y)[/tex]. We have

[tex]\nabla f(x,y)=\left\langle\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y}\right\rangle=\left\langle2x^3+1,2y^4\right\rangle[/tex]

from which we have

[tex]\dfrac{\partial f}{\partial x}=2x^3+1\implies f(x,y)=\displaystyle\int(2x^3+1)\,\mathrm dx[/tex]
[tex]\implies f(x,y)=\dfrac12x^4+x+g(y)[/tex]

[tex]\implies\dfrac{\partial f}{\partial y}=g'(y)=2y^4[/tex]
[tex]\implies g(y)=\dfrac25y^5+C[/tex]

[tex]\implies f(x,y)=\dfrac12x^4+x+\dfrac25y^5+C[/tex]

We have a candidate for a potential function, so we apply the gradient theorem, which asserts that the value of the line integral is path independent and can be determined by evaluating the potential function at the endpoints of the path. We then have

[tex]\displaystyle\int_C\mathbf f(x,y)\cdot\mathrm d\mathbf r=f(1,1)-f(-1,1)[/tex]
[tex]=\dfrac{19}{10}-\left(-\dfrac1{10}\right)[/tex]
[tex]=2[/tex]

as expected.

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −3
0 0
1 3

g(x)

g(x) = 7x + 2

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Answers

A. The slope of g(x) is greater. Because g(x) is written in slope intercept form (mx+b), we know that the slope is simply the m value, which, in this case, is 7. For f(x) we know that the slope is 3 because for each increment of x, y increases by 3. 7>3
B. g(x) has a greater y intercept. Because g(x) is written in slope intercept form, we know that the intercept is simply the b value, which is 2 in this case. For f(x), we know that slope interceot is the value of y when x=0. When x=0 in this case, y=0. 2>0

HELP Please THANKS:((((

Answers

answer is C.

w + c <= 27

hope it helps

More than 5 acres will be planted with wheat, so
w>5.

Up to 27 acres will be filled with wheat and corn, so
w+c<=27

Final answer: A C

In the diagram below, line segment bc is an altitude of triangle abd. What is the length of line age meant cd? If necessary, round your answer to two decimal places, PLEASE HELP ME IM REALLY STUCK

Answers

check the picture below.

running a perpendicular line like so from the right-angle, makes three similar triangles, the large, containing the smaller ones, and a medium and a small one. Now, using proportions, you can just use there, the medium and smalle to get "x".

If the discriminant of an equation is negative, which of the following is true of the equation

A it has two complex solutions
B it has one real solution
C it had two real solutions

Answers

The answer is A. it has two complex solutions

Answer:

A. It has two complex roots.

Step-by-step explanation:

We are given that

Discriminant of an equation =negative

We have to find which is true about the equation .

Let quadratic equation

[tex]ax^2+bx+c=0[/tex]

Discriminant=[tex]D=b^2-4ac[/tex]

If D < 0 , then the equation has complex roots.

Therefore, if the discriminant of an equation is negative then the equation has two complex roots.

Answer:A. It has two complex roots.

The equation of a line is y = mx + 2. What is the value of m (the slope) if the line passes through point A(−5, −18)?

M=-4
M=4
M=1/4
M=7/8

Answers

we can input the point
remember that (x,y)
so we are given (-5,-18)
so when x=-5, y=-18
so

-18=-5m+2
minus 2 both sides
-20=-5m
divide both sides by -5
4=m
m=4
answer is 2nd option

A man paid $71.40 for a radio. The radio was marked 15% off the original selling price. What was the original selling price?

Answers

the original price is $84

In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again.

Find a quadratic model for the data in the table. Type your answer below. Show your work.

Answers

You have to solve 3 equations pretty much simultaneously here using the x and y values in the general form of the quadratic equation [tex]y=a x^{2} +bx+c[/tex]
Start with the first values of x=0 and y=5.1 to solve for c:
[tex]5.1=a(0) ^{2} +b(0)+c[/tex] so c = 5.1
Next use the second x and y values along with the value of c in the next equation:
[tex]3.03=a(1) ^{2} +b(1)+5.1[/tex] gives you
-2.07 = a + b. Solve this for a:
a = -2.07 - b
Finally use the third set of numbers with the c value AND the subbed value for a:
[tex]1.17=a(3) ^{2} +b(3)+5.1[/tex]
1.17 = 9(-2.07 - b)+ 3b + 5.1 which simplifies to:
1.17 = -18.63 - 9b + 3b + 5.1 which further simplifies to:
14.7 = -6b and b = -2.45
Now you have c and b, let's find a using one of the simplified equations:
-2.07 = a + b
-2.07 = a - 2.45
a = .38
So here's your equation:
[tex]y=.38 x^{2} -2.45x+5.1[/tex]

A roller coaster climbs 84 feet on the first hill then drop 60 feet down. on the second hill the roller coaster climb another 32 feet then drops 44 feet. what is te height at the end of the second hill ?

Answers

84 - 60 = 24
24 + 32 = 56
56 - 44 = 12

The answer is 12.

Answer:

12 feet.

Step-by-step explanation:

A roller coaster climbs the height on first hill = 84 feet.

Then drops down = 60 feet.

Height gained by the roller coaster = 84 - 60

= 24 feet

On other hill roller coaster climbs = 32 feet

Height gained by the roller coaster = 24 + 32 = 56 feet.

It drops again to the height = 44 feet

So the final height at the second hill = 56 - 44

= 12 feet

Therefore, height of roller coaster on the second hill is 12 feet.

y=4x -1 and 12x=3y+7

Answers

You didn't really ask a question, so I'm assuming you want to know if there are any solutions to BOTH equations.

Use the first equation to substitute 4x - 1 for y in the second equation:

12x = 3(4x - 1)+7
12x = 12x - 3 + 7
12x = 12x +4
0 = 4

The last equation is FALSE, indicating the system of two equations has no solution.

Find a and b so that the polynomial, p(x)=x^2+ax-b passes through the points (6,-9) and (1, 16)

Answers

The given equation is:

p(x) = x^2 + ax - b

We write this in terms of y:

y = x^2 + ax – b

To solve for the values of the constants a and b, we are given the following conditions:

When x = 6, y = -9

When x = 1, y = 16

From these conditions, we can formulate two equation by substituting the values of y:

-9 = 6^2 + a(6) – b

6a = b – 45 ---> 1

16 = 1^2 + a(1) – b

a = b + 15 ---> 2

Combining equations 1 and 2:

6 (b + 15) = b – 45

6b + 90 = b – 45

5b = -135

b = -27

calculating for a using equation 1:

a = b + 15

a = -27 + 15

a = -12

Answers:

a = -12

b = -27

What value should go in the empty box to complete the calculation for finding the product of 62.834 × 0.45?

Answers

I assume your empty box is the product lol:)

So the product is: 28.2753. No tricks, better to use calculator, but you can do by hand too, not that hard.

28.2753 its the answer just use google calculator it's easy to use

An angle measures 7pi/9 radians. What is the degree measure of the angle?

Answers

To convert into degrees:

1. You should know the percentage of the angle with respect to 2pi:

(7pi/9) / (2pi) = 7/18

2. Then, multiply the ratio to the 2pi angle in degrees, which is 360

360 * (7/18) = 140

(7pi/9)(180/pi)
140°

multiplying by 180/pi give you a degree measure

f(x) = Square root of x plus eight.; g(x) = 8x - 12 Find f(g(x))

Answers

Final answer:

To find f(g(x)), substitute g(x) into f(x) and simplify the expression to get the final answer. The final answer to the question would be as f(g(x)) = 8x⁴ - 32x³ + 32x² + 3

Explanation:

To find the value of f(g(x)) the following steps to be followed where the value of f(x) be substituted in g(x).

f(x) = 2x² + 3; g(x) = −2x² + 4x

Find f(g(x)) by substituting g(x) into f(x): f(g(x)) = 2(-2x² + 4x)² + 3

Simplify the expression: f(g(x)) = 2(4x⁴ - 16x³ + 16x²) + 3

Final answer after expansion: f(g(x)) = 8x⁴ - 32x³ + 32x² + 3

Does anyone know the answer to this question?

Answers

f(x) = x-3

g(x) = 2f(x)

g(2) = 2(2-3) = 2 * -1 = -2

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