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olga55 [171]
3 years ago
9

Stuart paid his $144.85 bill with eight $20 bills. What is the smallest combination of coins and bills he could receive as chang

e? Select the correct combination. *
Mathematics
1 answer:
Over [174]3 years ago
3 0

well he paid $160 and 160-144.85=15.15 that's how much change he will receive the smallest he could pay is a $10, $5, a dime and a nickel.

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Three pounds of fertilizer covers 900 feet.How many pound of fertilizer will cover 2,100 feet?
sveticcg [70]
To solve this problem, you can make a proportion:

3/900 = x/2100

In this case, the x represents the pounds that will be needed to cover 2,100 feet.

The first step is to cross multiply like this:

3 * 2100 = 900 * x

Now you can simply the equation.

6300 = 900x

Now you divide both sides by 900 to cancel it out.

7 = x

So, your answer is 7 pounds.
7 0
3 years ago
If the angles of a traingle are in the ratio 2:3:4 , Find Them​
DedPeter [7]

Answer:

40°, 60°, and 80°

Step-by-step explanation:

We know that the sum of the angles of a triangle is equal to 180°.

We can use this equation to solve for these angles:

180 = 2x + 3x + 4x

180 = 9x

20 = x

Then substitute the solution in for x to solve for the angles:

2(20) = 40°

3(20) = 60°

4(20) = 80°

Therefore, the angles are 40°, 60°, and 80°.

8 0
3 years ago
A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro
pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

7 0
3 years ago
Plz help me with these, I don't understand this subject.
Stolb23 [73]

Answer:

A

Step-by-step explanation:

I might be wrong but it seems right.

4 0
3 years ago
Read 2 more answers
How much annual income would you need to have if, using the 28/36 ratio, your maximum allowable recurring debt is $380?
Flura [38]

Answer:

$30.40

Step-by-step explanation:

Recurring debt is am amount paid for the debt service. It involves all the payment which could not be canceled on the request. It includes Child Support, Loan Payment etc.

A household is required to spend 28% of the gross income as housing expenses, but not above 36% of total debt.

Housing expense = 28% x 380 = $106.4

Expense on Debt = 36% x 380 = $136.80

So,

Allowable recurring debt having income of $380 = 136.80 - 106.40 = $30.4

7 0
3 years ago
Read 2 more answers
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