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Dima020 [189]
4 years ago
9

You buy 8 pencils for $8 at the bookstore. Standard pencils cost $0.85 and specialty pencils cost $1.25. How many specialty penc

ils did you buy?
Mathematics
1 answer:
Oliga [24]4 years ago
3 0

Answer:

<u>We bought 3 specialty pens and 5 standard</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Standard pencils cost $0.85

Specialty pencils cost $1.25

You buy 8 pencils for $8

2. How many specialty pencils did you buy?

Number of specialty pencils = x

Number of standard pencils = 8 - x

Let's write our equation to solve for x:

0.85 (8 - x) + 1.25x = 8

6.8 - 0.85x + 1.25x = 8

0.4x = 8 - 6.8

0.4x = 1.2

x = 1.2/0.4

x = 3 ⇒ 8 - x = 5

<u>We bought 3 specialty pens and 5 standard</u>

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Verdich [7]
We are given f(x) = 5x
and we are to find inverse of f(x).

Step 1:
Replace f(x) by y.
So,

y = 5x

Step 2:
Isolate x
So,

x = y/5

Step 3:
Replace x by f'(y)
So,

f'(y) = y/5

Step 4:
Replace all occurrences of y by x.
So,

f'(x) = x/5

Therefore, the inverse of f(x) = 5x is f'(x) = x/5
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3 years ago
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VashaNatasha [74]

Answer:

<u>∠AEB = 72°</u>

Step-by-step explanation:

<u>Finding x</u>

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Answer:

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7 0
3 years ago
there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three time
hoa [83]

This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

In all, they are worth $3.65.

A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:

0.05x + 0.1y + 0.25z = 3.65

Dimes: 3 times greater than nickels:

This means that:

y = 3x

Quarters: One greater than double the number of nickels:

This means that:

z = 2x + 1

Value of x:

We have y and z as function of x, so we can replace into the equation and find the value of x, so:

0.05x + 0.1y + 0.25z = 3.65

0.05x + 0.1(3x) + 0.25(2x+1) = 3.65

0.05x + 0.3x + 0.5x + 0.25 = 3.65

0.85x = 3.4

x = \frac{3.4}{0.85}

x = 4

y and z:

y = 3x = 3(4) = 12

z = 2x + 1 = 2(4) + 1 = 9

There are 9 quarters, 4 nickels and 12 dimes.

A similar question is found at brainly.com/question/17096268

4 0
3 years ago
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