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Scilla [17]
3 years ago
15

Everett McCook, age 42 lives in Territory 3. Each day he drives 5 miles each way to the college where he teaches. His liability

insurance includes $50,000 for single bodily injury, $100,000 for total bodily injury and $15,000 for property damage. Determine his annual payment

Mathematics
1 answer:
Levart [38]3 years ago
3 0

Answer:

$165,000

Step-by-step explanation:

$50,000 + $100,000 + $15,000 = $165,000

Hope this helps C:

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Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500 mL of sauce. Raphael's tomato sauce has 12 cloves of g
ivolga24 [154]

Answer:

Emiy would think that it is not the perfect tomato sauce because it has 12 cloves of garlic in every 900 mL of sauce and it should have 14.4 cloves of garlic in every 900 mL of sauce to be perfect.

Step-by-step explanation:

The statement indicates that for Emily the perfect tomato sauce have 8 cloves of garlic in every 500 mL. With that we can calculate the amount of cloves of garlic that a tomato sauce should have for Emily to consider it to be perfect using the rule of three:

8 cloves of garlic → 500 mL

             x              ← 900 mL

x= (8*500)/900= 14.4

According to this, the perfect tomato sauce would need to have 14.4 cloves of garlic in every 900 mL. As Raphael's tomato sauce only has 12, it means that Emily would think that it is not the perfect tomato sauce.

7 0
3 years ago
На рисунке изображены графики функции. Для каждой из функций укажите номер соответствующего графика.
kari74 [83]
Sjdudjdyxmdudkdjycjjx
4 0
3 years ago
A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?
mamaluj [8]

Answer:

Option C. y=(3/4)x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

so

Find the value of the constant k

For the point (-8,-6)

k=y/x=(-6/-8)=3/4

For the point (12,9)

k=y/x=(9/12)=3/4

<u><em>Note</em></u> A single point was required to find the constant k (because the line passes through the origin)

The equation is equal to

y=(3/4)x

7 0
3 years ago
Read 2 more answers
Twice the sum of a number and 3 is equal to three times the difference of the number and 7. Find the number
Agata [3.3K]

Answer:

The number is 27

Step-by-step explanation:

Let us change the word statement to an algebraic equation

→ Assume that the number is x

→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2

→ The algebraic expression is 2(x + 3)

→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3

→ The algebraic expression is 3(x - 7)

→ Equate the two expressions

∴ 2(x + 3) = 3(x - 7)

→ Simplify each side

∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6

∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21

∴ 2x + 6 = 3x - 21

Let us solve the equation to find x

→ Subtract 6 from both sides

∴ 2x + 6 - 6 = 3x -21 - 6

∴ 2x = 3x - 21

→ Subtract 3x from both sides

∴ 2x - 3x = 3x - 3x - 27

∴ -x = -27

→ Divide both sides by -1

∴ x = 27

The number is 27

6 0
3 years ago
Evaluate 4x3 + 2 for x = -1
Darina [25.2K]
4 {x}^{3} + 2

Plug in -1 for x

and you'll get this:
4 {( - 1)}^{3} + 2

Solve it further and you'll get:
4( - 1) + 2 \\ = - 4 + 2 \\ = - 2

Therefore,
4 {x}^{3} + 2
where x = -1
8 0
3 years ago
Read 2 more answers
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