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Yanka [14]
2 years ago
15

This equation shows how the money Morristown Middle School spends on workbooks is related to the total number of workbooks they

buy.
d = 40t

The variable t represents the number of workbooks bought by the school, and the variable d represents the total cost of those workbooks. How much would it cost Morristown Middle School to buy a total of 2 workbooks?
Mathematics
2 answers:
Sedbober [7]2 years ago
7 0
It’s 40t because it says d=40t
prohojiy [21]2 years ago
5 0

Answer:

$80

Step-by-step explanation:

We know that d = 40t and t = number of workbooks bought by the school

Plug in <em>t</em> with 2

d = 40(2)

d = 80

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I'll give points and brainalist for answer / explanation
Valentin [98]

Answer:

D. 8

Step-by-step explanation:

C= 2πr

π= 3.14

C= 25.12

25.12 = 2 * 3.14 * r

r= 4

d= 2r

d= 8

5 0
2 years ago
a. About how far is it from Amarillo to Oklahoma City? Explain your reasoning. b. Driving at a constant speed of 70 miles per ho
balu736 [363]

Answer:

They are 260 miles apart. No it would not be possible.

Step-by-step explanation:

If they are 260 miles apart and you drive at a constant speed on 70mph. You will have to 260/70 which = 3.7 or 4 so it would not be possible.

8 0
3 years ago
A scale drawing of a school bus has a scale of 1/2 inch to 5feet. If the length of the school bus is 4 1/2 inches on the scale d
Sedaia [141]
Answer: actual length = 45 ft

Explanation:

Scale drawn:

1/2 inch = 5ft

Meaning that if the drawing scale is 0.5 inch then the actual bus would be 5ft.

If the length of the drawn school bus is 4 1/2 inches. We can write:

1/2 = 5
4 1/2 = x

=> x = (5 x 4 1/2)/1/2
Or x = (5 x 4.5)/0.5
x = 22.5/0.5
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Therefore the actual length of the bus is 45 ft

3 0
3 years ago
Which is greater than or less than
poizon [28]

Answer:

 C. -2/3 < -0.8

 F. -3/5 < -0.35

Therefor, -2/3 is less than -0.8.

And, -3/5 is also less than -0.35.

Also, you could turn the fractions into decimals to make your life easier for example, -3/5 into decimal form is -0.6.

And -2/3 into decimal form is -0.6666

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3 0
3 years ago
Classify each conic section and write its equations in standard form. Show work.
svp [43]

Answer:

The conic is ellipse of equation (x - 1)²/22 + (y + 4)²/44 = 1

Step-by-step explanation:

* Lets revise how to identify the type of the conic  

- Rewrite the equation in the general form,  

 Ax² + Bxy + Cy² + Dx + Ey + F = 0  

- Identify the values of A and C from the general form.  

- If A and C are nonzero, have the same sign, and are not equal  

 to each other, then the graph is an ellipse.  

- If A and C are equal and nonzero and have the same sign, then  

 the graph is a circle  

- If A and C are nonzero and have opposite signs, and are not equal  

then the graph is a hyperbola.  

- If either A or C is zero, then the graph is a parabola  

* Now lets solve the problem

The equation is 4x² + 2y² - 8x + 16y - 52 = 0

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∴ The equation is ellipse

* The standard form of the ellipse is

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- Lets try to make this form from the general form

- Group terms that contain the same variable, and move the

  constant to the opposite side of the equation

∴ (4x² - 8x) + (2y² + 16y) = 52

- Factorize the coefficients of the squared terms

∴ 4(x² - 2x) + 2(y² + 8y) = 52

- Complete the square for x and y

# To make completing square

- Divide the coefficient  of x (or y) by 2 and then square the answer

- Add and subtract this square number and form the bracket of

 the completing the square

# 2 ÷ 2 = 1 ⇒ (1)² = 1 ⇒ add and subtract 1

∴ 4[(x² - 2x + 1) - 1] = 4(x² - 2x + 1) - 4

- Rewrite as perfect squares ⇒ 4(x -1)² - 4

# 8 ÷ 2 = 4 ⇒ (4)² = 16 ⇒ add and subtract 16

∴ 2[(y² + 8y + 16) - 16] = 2(y² + 8y + 16)² - 32

- Rewrite as perfect squares ⇒ 2(y + 4)² - 32

∴ 4(x - 1)² - 4 + 2(y + 4)² - 32 = 52

∴ 4(x - 1)² - 4 + 2(y + 4)² = 32 + 4 + 52

∴ 4(x - 1)² + 2(y + 4)² = 88 ⇒ divide all terms by 88

∴ (x - 1)²/22 + (y + 4)²/44 = 1

8 0
2 years ago
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