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muminat
3 years ago
6

Brad bought a used bike for $8 more than half of its original price. Brad paid $40 for the bike. What was the original price?

Mathematics
1 answer:
Viefleur [7K]3 years ago
7 0

\huge\boxed{\$64}

Start by writing a formula, where x is Brad's purchase price and y is the original price.

40=8+\frac{y}{2}

Subtract 8 from both sides.

32=\frac{y}{2}

Multiply both sides by 2.

\boxed{64}=y

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27x + 24y= 4.5<br><br> 1.5x + y =0.225
Goryan [66]

Answer:

x = 0.1, y = 0.075

Step-by-step explanation:

Given the 2 equations

27x + 24y = 4.5 → (1)

1.5x + y = 0.225 → (2)

Multiplying (2) by - 24 and adding to (1) will eliminate the y- term

- 36x - 24y = - 5.4 → (3)

Add (1) and (3) term by term to eliminate y

- 9x = - 0.9 ( divide both sides by - 9 )

x = 0.1

Substitute x = 0.1 into either of the 2 equations and solve for y

Substituting into (2)

1.5(0.1) + y = 0.225

0.15 + y = 0.225 ( subtract 0.15 from both sides )

y = 0.075

3 0
3 years ago
Read 2 more answers
Solve (get the variable by itself): m / (-4) = -2.95
kenny6666 [7]
M / -4 = -2.95
As you can see, the variable m is currently in a fraction with a denominator of -4. So to get ride of the fraction and find m and its value, you should multiply both sides by the denominator of the fraction, which is in our case -4.
So m / -4 = -2.95
(m/-4) * -4 = -2.95 * -4
m = 11.8

You can recheck your answer (very important):
m / -4 = 11.8 / -4 = -2.95
The answer has been approved.

Hope this Helps! :)
7 0
3 years ago
it is claimed that proportion in favor of proportion A is greater than 60%. A sample of size 100 found 69 in favor. what is the
GenaCL600 [577]

Answer:

The alternative hypothesis is H_1: p > 0.6.

The critical value is Z_c = 1.645

Step-by-step explanation:

It is claimed that proportion in favor of proportion A is greater than 60%.

This means that at the null hypothesis, we test if the proportion is of at most 60%, that is:

H_0: p \leq 0.6

At the alternative hypothesis, we test if the proportion is more than 60%, that is:

H_1: p > 0.6

What is (are) the critical value?

The critical value is the value of Z with a p-value 1 subtracted by the standard significance level of 0.05, since we are testing if the mean is more than a value, so, looking at the z-table, Z_c = 1.645

7 0
2 years ago
Four friends played cards. their final scores were
Ghella [55]
Mean Absolute Deviation = 2.5
6 0
3 years ago
Which describes the translation of f(x) to g(x)? translation of four units up translation of five units up translation of four u
Jet001 [13]

Answer:

Option (1)

Step-by-step explanation:

Given question is incomplete; find the picture of the graph in the attachment.

Parent function f(x) = \frac{1}{2^x}

When function 'f' is translated by 4 units up which is evident form the graph, the translated function obtained is,

g(x) = f(x) + 4

g(x) = \frac{1}{2^x}+4

Therefore, Option (1). [Translation of 4 units up] is defined by the graph attached.

6 0
3 years ago
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