find the area of a book cover that measures 1 foot by 5/8 foot

a) 5/8 ft
b) 3 1/4 ft
c) 3 1/3 ft2
d) 5/8 ft2

Answer: n + 2 = 2n

Step-by-step explanation:

sum = add

number and two = n, 2

twice the number = 2 x n

Answer:  n + 2 = 2n

Step-by-step explanation:

Answer:

26$ Per ticket

missing number is 156$

Step-by-step explanation:

Find how much each ticket is by dividing 78 by 3 which is 26 the multiply 26 and 6 to find the missing number hope this helped :)

Answer:

The value of one ticket is 26 dollars, so for 6 tickets would be 156 dollars...

Step-by-step explanation:

$78 ÷ 3 tickets = $26

$26 × 6 tickets

= $156 for 6 tickets.

use the substitution method

f(x)= 5x+40

f(-5)= 5(-5)+40

f(-5)= -25+40

f(-5)= 15

Answer is f(-5)= 15

Answer:

[tex]8x^{a+b}+4x^{3+a}-10x^{a+1}[/tex]

Step-by-step explanation:

We need to find the product of: [tex]-2x^{a}(-4x^{b}-2x^{3}+5x)[/tex]

We have that:

[tex]-2x^{a}(-4x^{b}-2x^{3}+5x)[/tex] = [tex]8x^{a+b}+4x^{3+a}-10x^{a+1}[/tex]

We can't simplify more the expression, therefore, the solution is:

[tex]8x^{a+b}+4x^{3+a}-10x^{a+1}[/tex].

The graph of k(x)=2(x-8)², a quadratic function, will be an upwards-opening parabola with a vertex at (8,0). To compare it with the graph of f(x), we need more details about f(x), which could be linear, quadratic, or a different type of function entirely. The comparison can focus on attributes like shape, orientation, position, steepness, continuity, differentiability, or periodicity.

The function k (x) = 2 (x-8)² is a quadratic function where 2 is the coefficient, and 8 is the amount that the graph is shifted to the right in the x coordinate. This graph will be a parabola that opens upwards, with a vertex at the point (8,0) due to the transformation in the x term (x-8).

To compare the graph of f(x) with the graph of k(x), we first need to understand the characteristics of f(x). For example, if f(x) is also a quadratic function, we can compare their shapes, orientations (upward or downward opening), positions (based on vertex and line of symmetry), and steepness (determined by the absolute value of the coefficient -- in this case, 2).

If f(x) is a linear function, it will be a straight line and we can compare the orientation, steepness (slope), and position (y-intercept). Or if f(x) is a different type of function entirely, the comparison will focus more generally on attributes like continuity, differentiability, periodicity, etc. Therefore, without additional details about f(x), a complete comparison isn't possible.

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Answer:

m = 12f

Or

m/12 = f

Step-by-step explanation:

The conversion from inches to feet involves a constant factor of variation which is 12. Inches is a smaller unit while feet are obtained by dividing the inches with 12.

As we know,

1 foot = 12 inches

Given in the question:

m = measurement in inches

and

f= measurement in feet

Hence the equation will be:

m = 12f

Or

m/12 = f ..

Answer:

(5, - 4)

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

x² - 10x + 21 ← is in standard form

with a = 1, b = - 10, so

[tex]x_{vertex}[/tex] = - [tex]\frac{-10}{2}[/tex] = 5

Substitute x = 5 into the quadratic for the corresponding value of y

y = 5² - 10(5) + 21 = 25 - 50 + 21 = - 4

vertex = (5, - 4)

Check the picture below.

Answer:

-1,-2

Step-by-step explanation:

If you are doing this for FLVS and this helped make me the brainlist

Answer: 29 degrees is the answer

Step-by-step explanation:

The bisector is the line that divides the angle, and rhombus diagonally. So, basically you're just dividing 58 in half. Which is 29 degrees.

The measure of each of the two angles formed by the bisector of the diagonal of a rhombus will be 29 degree.

Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

We have,

A Rhombus with one of its angle equal to 58°.

Now,

Bisector of an angle, divides an angle into two equal parts.

So,

From the above mentioned definition,

i.e.

[tex]=\frac{58}{2} = 29^0[/tex]

So, the measure of each angle is 29°.

Hence, we can say that the measure of each of the two angles formed by the bisector of the diagonal of a rhombus will be 29 degree.

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Answer:

lcm = 4

Step-by-step explanation:

20 = 2 × 2 × 5 ← product of prime factors

12 = 2 × 2 × 3 ← product of prime factors

The lowest common multiple (lcm) = 2 × 2 × 5 × 3 = 60

Answer:

60

Step-by-step explanation:

First, break down each of the numbers into their prime factors.

20 = 2² x 5

12 = 2² x 3

To find the LCM, underline each of the prime numbers. If there is a repeated prime number, underline the one with the largest possible value. For example, if there is 3² and 3³, underline the second one. In this case, the values are the same, so just underline one.

20 = 2² x 5

12 = 2² x 3

Next, multiply all the underlined numbers.

LCM (20, 12) = 2² x 5 x 3 = 60

Answer:

A:33,22,55

Step-by-step explanation:

Equations would you use the zero product property on is (x-5)(x-10)=0

The zero product property states that if a⋅b=0 then either a or b equal zero.

To get the positive value we have consider those factor which have negative in their expression.

As, by the property if we equate both of them equal to zero one by one then we get the desired value.

(x-5)(x-10)= 0

if x-5=0

x=5

and if, x-10=0

x=10

Hence, equations would you use the zero product property on is (x-5)(x-10).

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Answer:The last experimental design is the best of the options: 'Compare the average number of

tomatoes that are produced by 10 tomato plants that are grown in clay soil to

the average number of tomatoes that are produced by 10 tomato plants that are

grown in sandy soil''.

The first two experimental designs measure the growth of

tomato plants, which is not necessarily related to the yield of tomatoes. The

third experimental design compares the tomato yield of the two

soils with only one plant grown in each soil. Obviously, the result obtained

from this experiment would be statistically weak. The last experimental design

compares tomato yield and also uses a larger number of plants in each soil

type, so the results obtained would be of slightly greater statistical

significance.

Step-by-step explanation:

The mean absolute deviation is M = 2.2

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the total number of plants be n

Now , the value of n = 10

And , the number of tomatoes on each plant is given by set A

Now , the value of set A = { 5 , 5 , 5 , 6 , 9 , 10 , 10 , 10 , 10 , 10 }

So , the total number of tomatoes = 5 + 5 + 5 + 6 + 9 + 10 + 10 + 10 + 10 + 10

The total number of tomatoes = 80 tomatoes

Now , the mean number of tomatoes = 80 / 10 = 8

And , the mean deviation is M

where M = 1/10 [ ( 8 - 5 ) + ( 8 - 5 ) + ( 8 - 5 ) + ( 8 - 6 ) + | ( 8 - 9 ) | + 5( 10 - 8 )

M = ( 1/10 ) [ 3 + 3 + 3 + 2 + 1 + 5 ( 2 ) ]

M = ( 1/10 ) [ 22 ]

M = 2.2

Therefore , the value of M is 2.2

Hence , the mean deviation is 2.2

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The slope is 0. y  = 7 makes a horizontal line, therefore there is no rise only a run.

Remember: If it creates a horizontal line the slope is zero

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex] ({ {x}^{m} )}^{3} = ( { {x}^{13} )}^{5} \times ( { {x}^{ - 8} )}^{ - 5} [/tex]

[tex] {x}^{3m} = {x}^{65} {x}^{40} [/tex]

[tex] {x}^{3m} = {x}^{105} [/tex]

[tex]3m = 105[/tex]

[tex]m = 35[/tex]

First divide 6 to both sides to isolate q. Since 6 is being multiplied by q, division (the opposite of multiplication) will cancel 6 out (in this case it will make 6 one) from the right side and bring it over to the left side.

18 ≥  6q

18 ÷ 6 ≥ 6q ÷ 6

3 ≥  1q

3 ≥  q

For the graph will you have a empty or colored in circle?

If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.

If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.

Which direction will the ray go?

If the variable is LESS then the number then the arrow will go to the left of the circle.

If the variable is MORE then the number then the arrow will go to the right of the circle.

In this case your inequality is:

3 ≥ q OR q ≤ 3

aka 3 is greater then q OR q is less then 3

This means that the graph will have an colored circle and the arrow will go to the left of 3. Look at image below.

Hope this helped!

~Just a girl in love with Shawn Mendes

Use the midpoint formula

(x1 + x2/2, y1 + y2/2)

Input the corresponding numbers

(-12 +5/2, 3 + -10/2)

(-7/2,-7/2)

So, the midpoint of the line segment is (-7/2,-7/2)

The midpoint of the line segment is (-3.5, -3.5)

To find the midpoint of a line segment, we can use the midpoint formula. The formula is:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Using the coordinates (-12, 3) and (5, -10), we can substitute the values into the formula:

Midpoint = ((-12 + 5) / 2, (3 + -10) / 2)

After simplifying, the midpoint is (-3.5, -3.5).

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Step-by-step explanation:

∠YXZ and ∠VXU are vertical angles, and therefore are congruent.

∠YXZ ≅ ∠VXU, Vertical ∠'s ≅

Next, we're given that lines YZ and UV are parallel.  That means that ∠YZV and ∠UVZ are alternate interior angles, and therefore congruent.

∠YZV ≅ ∠UVZ, If lines ||, then alternate interior ∠'s ≅

If two triangles have two pairs of congruent angles, then the third pair must also be congruent, making the two triangles similar.

△XYZ ~ △XUV, AA

Since the triangles are similar, then by definition, their sides are proportional.

XY/XU = YZ/UV, Definition of Similar Polygons

YZ || UV - Given

YXZ = VXU - Vertical triangles =

YZV = UVZ - If lines ||, alternate internal triangles =

XYZ ~ XUV - AA

XY/XU = YZ/UV - Definition of Similar Polygons

Answer:

Choice A) a² - 9a - 11.

Step-by-step explanation:

Separate the terms by the power of the variable, [tex]a[/tex].

Terms with power 2 on [tex]a[/tex]:

Terms with power 1 on [tex]a[/tex]:

Terms with power 0 on [tex]a[/tex], which are also known as constant terms:

Apply the distributive property of multiplication in reverse. In other words, factor out terms with the same power and add the coefficients.

Terms with power 2 on [tex]a[/tex]:

[tex]6a^{2} + (-5a^{2}) = (6 + (-5))a^{2} = a^{2}[/tex].

Terms with power 1 on [tex]a[/tex]:

[tex]-17 a + 8a = ((-17) + 8)a = -9a[/tex].

Constant terms:

[tex](-9) + (-2) = -11[/tex].

Add the sum of the individual terms to find the sum of the two polynomials:

[tex]a^{2} + (- 9a) +(- 11) = a^{2}-9a -11[/tex].

Step-by-step explanation:

If the B is the middle of the segment AC,

AC= AB+BC

AC=7+12= 19.

If I'm wrong, correct me please. I would be pleased.

Answer:

12.25 miles

Step-by-step explanation:

We can write a proportion to solve.  Miles over time in minutes

1 hour = 60 minutes

1 hours 10 minutes = 60+10 = 70 minutes

3.5 miles         x miles

---------------   = --------------

20 minutes         70 minutes

Using cross products

3.5 *70 = 20x

245 = 20x

Divide each side by 20

245/20 = 20x/20

12.25 =x

Jimmy can go 12.25 miles

Use the distance formula to find the distance between each vertices:

Distance formula: √((x2-x1)^2 + (y2-y1)^2)

(-1,4) (2,7) = 4.24

(-1,4) (1,5) = 2.24

(2,7) (1,5) = 2.24

Perimeter = 4.24 + 2.24 + 2.24 = 8.72

Answer:

7.40 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

All marbles here are identical. Also, the question isn't concerned about the order in which the marbles are drawn. Thus, all calculations here shall be combinations rather than permutations.

How many ways to choose three out of six identical red marbles without replacement?

[tex]\displaystyle _6C_3 = c(6, 3) = {6\choose 3} = 20[/tex].

Note that these three expressions are equivalent. They all represent the number of ways to choose 3 out of 6 identical items without replacement.

How many ways to choose three out of all the 6 + 10 + 6 = 22 marbles?

[tex]\displaystyle _{22} C_{3} = 1540[/tex].

The probability of choosing three red marbles out of these 22 marbles will be:

[tex]\displaystyle \frac{\text{Number of ways for choosing three out of six red marbles}}{\text{Number of ways to choose three out of 22 marbles}} = \frac{20}{1540} = \frac{1}{77}[/tex].

How many ways to choose two out of six identical red marbles without replacement?

[tex]\displaystyle _6 C_2 = 15[/tex].

How many ways to choose one out of 10 + 6 = 16 non-red marbles?

[tex]_{16} C_1=16 [/tex].

Choosing two red marbles does not influence the number of ways of choosing a non-red marble. Both event happen and are independent of each other. Apply the product rule to find the number of ways of choosing two red marbles and one non-red marble out of the pile of 22.

[tex]_6 C_2 \cdot _{16} C_1= 240[/tex].

Probability:

[tex]\displaystyle \frac{240}{1540} = \frac{12}{77}[/tex].

Double check that the order doesn't matter here.

None of the marbles are red. In other words, all three marbles are chosen out of a pile of 10 + 6 = 16 white and blue marbles. Number of ways to do so:

[tex]_{16} C_{3} = 560[/tex].

Probability:

[tex]\displaystyle \frac{560}{1540}= \frac{4}{11}[/tex].

Answer:

A) 1/77; B) 12/77; C) 4/11

Step-by-step explanation:

A) There are a total of 22 marbles.  6 of them are red.

On the first draw, the probability of getting a red marble is 6/22.

On the second draw, there's one less red marble and one less marble total, so the probability of getting another red marble is 5/21.

Similarly, on the third draw, the probability of getting a red marble is 4/20.

So the probability that all three draws are red marbles is:

P = (6/22) (5/21) (4/20)

P = 1/77

Another way this can be calculated is with combinations:

P = (ways to choose 3 red marbles from 6) / (ways to choose 3 marbles from 22)

P = ₆C₃ / ₂₂C₃

P = 20 / 1540

P = 1/77

B) The same logic can be repeated here.  Using the first method, if the first two selection are red:

P = (6/22) (5/21) (16/20) = 4/77

If the first and third are red:

P = (6/22) (16/21) (5/20) = 4/77

If the last two are red:

P = (16/22) (6/21) (5/20) = 4/77

So the total probability is:

P = 4/77 + 4/77 + 4/77

P = 12/77

Using the second method:

P = (ways to choose 2 red from 6) × (ways to choose 1 non-red from 16) / (ways to choose 3 from 22)

P = ₆C₂ ₁₆C₁ / ₂₂C₃

P = 15 × 16 / 1540

P = 12/77

C)

Same logic:

P = (16/22) (15/21) (14/20)

P = 4/11

Or:

P = ₁₆C₃ / ₂₂C₃

P = 560 / 1540

P = 4/11

Answer:

1. Write all the equations in standard form, leaving out decimals or fractions.

2. Select the variables to be eliminated; And then you take two of these equations, and you eliminate the variables.

3. Select a different set of two equations and eliminate the same variables as in step 2.

4. Solve two equations containing two variables from steps 2 and 3.

5. Substitute the answer to step 4 into any equation that contains the remaining variables.

6. Check the solution with three original equations.

To solve a system of three equations using the elimination method, pair up the equations, eliminate a variable from each pair, solve for the remaining variable and substitute this value into other equations to find the values of other variables.

To solve a system of three equations using the elimination method, the process involves eliminating one variable at a time to eventually have one equation with one variable left, which you can then solve.

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Answer:

40

Step-by-step explanation:

5√64 = 5 x 8 = 40

Answer:

√5

==

 8

or

Sqrt5

  over

  8

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

A circle is 360 degrees, so 360/6 is your answer.

For this case we give as data the following equation:

[tex]4x + 12 = 48[/tex]

Where "x" represents the cost of a ticket.

By clearing the value of "x" of the equation we can know the cost of a ticket.

If we subtract 12 from both sides of the equation, we have:

[tex]4x = 48-12\\4x = 36[/tex]

If we divide between 4 on both sides of the equation:

[tex]x = \frac {36} {4}\\x = 9[/tex]

Therefore, the cost of a ticket is $ 9.00

Answer:

Option C

Answer:

r(5)=3.05 t(5)=15

Step-by-step explanation:

x=5

r(5)=(1.25)^5

r(5)=3.05

t(5)=3(5)

t(5)=15

Answer:

Equation of this line is y = 1

Step-by-step explanation:

We have to write an equation of a line passing through (0,1) and slope 0.

Standard equation of a line in slope form is y = mx + c

Where m = slope and c = y intercept.

Since m = 0

so y = c is the equation.

This line passes through (0,1)

so equation will be Y = 1

Equation of this line is y = 1

Answer:

Could you repost your question with a picture of the arc?