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3 years ago

11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the

Mathematics

1 answer:

White raven [17]3 years ago

3 0

Answer:

44 ten-dollar bills

Step-by-step explanation:

Assume that all 124 bills are ten-dollar bills,

124 x $10 = $1240

Total Value of Money : $840

$1240 - $840 = $400

There are $400 worth of five-dollar bills,

$400 / 5 = 80 (The number of five-dollar bills)

Therfore the number of ten-dollar bills,

124 - 80 = 44

Let's check:

44 x $10 = $440

80 x $5 = $400

Total = $440 + $400

= $840

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In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is

aalyn [17]

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

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Correct option: 2

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3 years ago

When you buy an item on which sales tax is charged,the total cost is calculated by the formula T=P+s/100p where T is the total c

Gennadij [26K]

Given:

The formula for total cost is

$T=p+\dfrac{s}{100}p$

where, p is the price of item and s is the sales tax rate (as a percent).

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To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

$14.77=14+\dfrac{s}{100}(14)$

$14.77-14=\dfrac{s}{100}(14)$

$0.77=\dfrac{s}{100}(14)$

Multiply both sides by 100.

$77=14s$

Divide both sides by 14.

$\dfrac{77}{14}=s$

$5.5=s$

Therefore, the tax rate is 5.5%.

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3 years ago

<img src="https://tex.z-dn.net/?f=%5Csf%202x%2B21%3D3" id="TexFormula1" title="\sf 2x+21=3" alt="\sf 2x+21=3" align="absmiddle"

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$\sf \longmapsto2x = 3 - 21$

$\sf \longmapsto2x = - 18$

$\sf \longmapsto \: x = \frac{ - 18}{2}$

$\sf \longmapsto x = - 9$

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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Answer:

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