What is the variable in the following expression: 7x + 8
A. 7
B. X
C. 8

Answer:

Step-by-step explanation:

D

Answer:

81

Step-by-step explanation:

Knowing that;

∠ EHD and ∠FHC are vertical angles.

since, ∠FHC = 81 Thus, ∠EHD = 81

Look at picture below for more information;

~Learn with Lenvy~

Answer:

81

Step-by-step explanation:

Given;

If m ∠FHC = 81 °, then what is m ∠ EHD?

Solve;

∠ EHD and ∠FHC are vertical angles.

Vertical angles ⇒  a pair of opposite angles formed by intersecting lines.

Since, ∠FHC = 81 hence,  ∠EHD  also = 81

[RevyBreeze]

Answer:

Lower Quartile is 8 according to the diagram.

Answer:

3/5

Step-by-step explanation:

Hope that this helped :)

Answer:

The dependent variable is the amount of money you earn because the amount of money you earn depends on how many chores you do.

Answer:

alternate angle and counter

Answer: 27

Step-by-step explanation:

C = 2 x pi x r

C = 2 x pi x 15 = 30 π

The equation that can be used to represent Diego's and Lin's savings account is 250 = 40 + 6x and Total savings= 100 + 50x respectively.

let

Diego:

6 months ago = $40

Now = $250

250 = 40 + 6x

250 - 40 = 6x

210 = 6x

x = 210/6

x = $35

Lin:

Now = $100

Future = $50 per month

let

Total savings= 100 + 50x

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The gross monthly income for 4 weeks is $1,887.20

We have given that Scott earns $16. 85 per hour at his job.He works 7 hours per day then,

Gross income= Earning per hour × number of hours works per day × number of days works per week × number of weeks

Gross income= $16.85 × 7 × 4 × 4

Gross income= $1,887.20

Therefore, the gross monthly income for 4 weeks is $1,887.20.

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Answer:

Step-by-step explanation:

Break up the shape into a trapezoid and rectangle:

Trapezoid area = (Top + Bottom) * Height / 2

= (9 + 20) * (21-16) / 2

= 29 * 5 / 2

= 72.5

Rectangle area = Length * Width

= 20 * 16

= 320

Combining, the total area = 72.5 + 320

= 392.5 in^2

Answer:

A = 392.5 in²

Step-by-step explanation:

The composite figure is made up of a rectangle and a trapezoid.

Calculate the area of the rectangle:

[tex]\begin{aligned}\textsf{Area of a rectangle}&=\sf length \times width\\&=20 \times 16\\&=320\; \sf in^2\end{aligned}[/tex]

Calculate the area of the trapezoid:

[tex]\begin{aligned}\textsf{Area of a trapezoid}&=\dfrac{\text{base}\;a+\text{base}\;b}{2} \times \text{height}\\&=\dfrac{9+20}{2} \times (21-16)\\&=\dfrac{29}{2} \times 5\\&=72.5\; \sf in^2\\\end{aligned}[/tex]

Therefore, the area of the composite figure it the sum of the area of the rectangle and the area of the trapezoid:

[tex]\begin{aligned}\textsf{Total area of composite figure}&=\textsf{Area of rectangle}+\textsf{Area of trapezoid}\\&=320+72.5\\&=392.5 \; \sf in^2\end{aligned}[/tex]

Therefore, the area of the composite figure is 392.5 in².

The area of the considered triangle RST is given by: Option A: 9 sq. units.

If we have:

Then we get:

Area of a triangle = [tex]\dfrac{b \times h}{2} \: \rm unit^2[/tex]

The missing image is attached below.

If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.

Thus, we have:

Area of RST = half of length of RS (base) times length of UT (height)

As visible from image, we have:

Length of RS = 6 blocks of unit length = 6 units

Similarly, length of UT = 3 units

Thus, we get:

Area of RST = [tex]\dfrac{6 \times 3}{2} = 9 \: \rm unit^2[/tex]

Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.

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The probability shows that the number of people who responed with a genre other than one of the genres listed is 168.

The number of people who responded with a genre other than one of the genres listed will be:

= 600 - (102 + 114 + 84 + 132)

= 600 - 332

= 168

The probability for adventure = 102/600 = 0.17

The probability for comedy = 114/600 = 0.19.

The probability for mystery = 84/600 = 014

The probability for romance = 132/600 = 0.22

The probability for others = 168/600 = 0.28

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Answer:

x = 24

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]

consider left side

[tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{x}{2} }[/tex]

= [tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{3x}{6} }[/tex]

= [tex]5^{\frac{4x}{6} }[/tex]

then

[tex]5^{\frac{4x}{6} }[/tex] = [tex]5^{16}[/tex]

since the bases on both sides are equal, both 5 then equate exponents

[tex]\frac{4x}{6}[/tex] = 16 ( multiply both sides by 6 )

4x = 96 ( divide both sides by 4 )

x = 24

Answer:

A, C, E,

Step-by-step explanation:

A)Surveying the boys in the freshman class.

C)Surveying all the students in her math class.

E)Surveying the students in the chess club.

Correct answer: 9x -14y = -6

Linear equation: y = ax + b

Let's replace (x,y) with (1/2, 3/4) and (4,3) and have the following equations:

1/2a + b = 3/4 (1)

4a + b = 3 (2)

=> (2) b = 3 - 4a

(1) 1/2a + 3 - 4a = 3/4

=> (1) 7/2a = 9/4

(2) b = 3- 4a

=> (1) a = 9/14

(2) b = 3/7

So we have the equation: y= 9/14x + 3/7

Multiple both sides with 14

=> 14y = 9x + 6

=> 9x -14y = -6

Answer:

slope = 0.5

Step-by-step explanation:

[tex]slope=\frac{-5-1}{-6-6} =\frac{-6}{-12} =\frac{1}{2} =0.5[/tex]

Hope this helps

The slope of the graph through points (6,1) and (-6,-5) is 0.5.

The slope formula can be expressed as:

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given the coordinates of the points through which the graph passes through:

Point 1 ( 6,1 )

x₁ = 6

y₁ = 1

Point 2( -6,-5 )

x₂ = -6

y₂ = -5

Plug the coordinates into the slope formula and simplify.

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}\\\\Slope (m) = \frac{-5 - 1}{-6 - 6}\\\\Slope (m) = \frac{-6}{-12}\\\\Slope (m) = \frac{1}{2}\\\\Slope (m) = 0.5[/tex]

Therefore, the slope of the line is 0.5.

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#SPJ3

Answer:

Step-by-step explanation:

To solve this problem, you have to combine like terms of x and b from one side of the equation.

Combine like terms.

3(2x+5b)+4x-2x-4b+6

Solve.

4x-2x=2x

Rewrite the problem down.

3(2x+5b)+2x-4b+6

Expand the form.

Use a distributive property.

Distributive property:

A(B+C)=AB+AC

3(2x+5b)

Multiply.

3*2x=6x

3*5b=15b

Rewrite the problem.

6x+15b

6x+15b+2x-4b+6

Combine like terms.

6x+2x+15b-4b+6

Add the numbers from left to right.

6x+2x=8x

8x+15b-4b+6

Then, you add again.

15b-4b=11b

= 8x+11b+6

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

8x+11b+6

Step-by-step explanation:

Answer:

9 boxes

Step-by-step explanation:

As the truck is 7.5 ft long, we can fit 3 boxes of paper along the length since 7.5 ÷ 2.5 = 3

As the truck is 4 ft wide, we can only fit 1 box of paper along the width

since 4 ÷ 2.5 = 1.6

As the truck is 8 ft tall, we can fit 3 boxes of paper high

since 8 ÷ 2.5 = 3.2

Therefore, the number of boxes of paper is:

3 × 1 × 3 = 9

Answer:

9 boxes

Step-by-step explanation:

Look above me ;)

Answer:

x=8.4

Step-by-step explanation:

use tangent to solve the equation which is opposite/adjacent and set up the proportion

[tex] \frac{ \tan(35) }{1} = \frac{x}{12} [/tex]

the cross multiply to get x=tan(35)×12 then multiply that to get x=8.4

Answer:

B) [tex]x^{2} -16x+64=-21+64[/tex]

Step-by-step explanation:

The first step to completing the square is by dividing "b" by 2, squaring that number, and adding it on both sides. In this case, 16/2 = 8 and 8 squared = 64. In answer choice B, this is correctly added to both sides of the equation.

See the full steps for completing the square below. If you're still stuck on this, I suggest watching the completing the square video on Tutors.com. It is very helpful!

Have a great day!

With one package (less actually) she can fill the 48ft^2 of the rectangular area.

We know that Sandy needs 7.8 square feet of space per hyacinth bulb, and the hyacinth bulbs are sold in packages of 8.

The rectangular region has a surface area of:

A = 8ft*6ft = 48 ft^2

The number of hyacinth bulbs that she can put in that surface is:

N = (48 ft^2/7.8 ft^2) = 6.15

So with 6 hyacinth bulbs, she can almost complete the rectangular area, and on each package there come 8 of them, so with one package she should be fine.

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Answer:

The answer is 7 PACKAGES

Step-by-step explanation:

I took the test!

Answer:

1.5hours

Step-by-step explanation:

Answer:

The answer is

→ 1.5 or 10x = 15

Step-by-step explanation:

Since 10x + 6 = 21 and we supposed to find what 15 is, we would have to use these steps;

First subtract 6 on both sides

10x + 6 - 6 = 21 - 6

= 10x = 15

Another way I know the other answer is by multiplying 10 by 1.5 which equals 15.

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

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Answer:

A I believe try A that should be it

Answer:

6:45

Step-by-step explanation: add 45 min to 6:00 and you have your answer

Answer:6:45

Step-by-step explanation: 6:00 + 45minutes would be 6:45

Answer:

89

Step-by-step explanation:

92 - 3 =89

subtract smallest from largest