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Contact [7]
2 years ago
6

Solve for a. 15(25−5a)=4−a

Mathematics
2 answers:
VMariaS [17]2 years ago
6 0
15(25-5a)=4-a
375-75a=4-a
Add 75a to both sides
375= 4+74a
Subtract 4 from both sides
371=74a
Divide both by 74
5.01=a
Free_Kalibri [48]2 years ago
4 0

Answer:

The value of the equation for a is 371/74 or 5.0135.  

Step-by-step explanation:

Consider the provided equation.

15(25-5a)=4-a

We need to solve the provided equation for a.

Open the parentheses.

375-75a=4-a

Add a to both side.

375-75a+a=4-a+a

375-74a=4

Subtract 375 from both the sides.

375-375-74a=4-375

-74a=-371

Divide both the sides by -74.

a=\frac{371}{74}

Hence, the value of the equation for a is 371/74 or 5.0135.  

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Original price of a CD: $20.00 <br> Discount 42% <br> Tax 6%
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First, we can subtract the discount from the original price. Divide the discount (42%) over 100.

42/100 = 0.42

Next, we need to multiply. It's basically asking what 42% of 20 is. 

0.42 × $20 = $8.40

Now, we know that we will have $8.40 on the CD because of the discount. We can subtract the saved amount from the original amount to get the price.

$20 - $8.40 = $11.60

You will pay $11.60 for the CD without taxes.

----------

Now to add the taxes.... To do this, do the same first step we did when finding the discount price. 

6/100 = 0.06

Multiply. Like I said, you can think of it as, '6% of 11.60'. 

0.06 × 11.60 = $0.70

Last step is to ADD. Since taxes add more money onto the current price, we will have to add.

$11.60 + $0.70 = $12.30

---------

The total price of the CD will be: $12.30.
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2 years ago
If f(x) = 2x – 1 and g(x) = ^ – 2, find [g ◦ f](x).
Viefleur [7K]

Answer:

<em>    The value of [g ◦ f](x) = 4x^{2} -4x-1</em>

Step-by-step explanation:

    If f(x) = 2x - 1

    g(x)  = x^{2} -2

    we need to find the value of [g ◦ f](x).

    which means that g(f(x))

    g(f(x)) = (2x-1)^{2} -2

    g(f(x)) = 4x^{2} -4x+1 -2

    g(f(x)) = 4x^{2} -4x-1

<em>     The value of [g ◦ f](x) = 4x^{2} -4x-1</em>

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3 years ago
A line passing through which of the following pairs of coordinates represents a proportional relationship? A. (1, 3) and (2, 6)
trasher [3.6K]

Answer:

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Step-by-step explanation:

(1, 3) • 2

= (1 • 2, 3 • 2)

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Therefore, the answer is A.  

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2 years ago
Read 2 more answers
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