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-Dominant- [34]
3 years ago
12

10a+5.50c=31 What are the steps to solve this

Mathematics
1 answer:
GaryK [48]3 years ago
6 0

Step-by-step explanation:

There are 2 variables a and c, and there is only 1 equation. Hence we cannot find both variables.

However if we restrict a and c to be positive integers, we will have:

10a + 5.5c = 31

=> 20a + 11c = 62

Since 62 ≡ 2(mod 20) and 11c <= 62,

we have c = 2.

=> 20a + 11(2) = 62, 20a = 40, a = 2.

Therefore a = 2 and c = 2.

Hopefully this explanation helped!

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Find the center and radius of the circle with equation (x + 8)2 + (y + 3)2 = 49.
SashulF [63]
Center is at (h,k) in standard form:
(x-h)2 + (y-k)2 = r2
Center: (-8, -3)
Radius (r): sr49 = 7
3 0
4 years ago
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Bethany paid $408.75 for a pair of diamond stud earrings. The sale price was $375. What is the Percent of Sales Tax she paid for
9966 [12]

Answer:

She paid 9% of sales tax

Step-by-step explanation:

The sale price of diamond = $375

Let x be percent of sales tax

So, amount of tax = x\% \times 375 = \frac{x}{100} \times 375 =3.75x

So, Amount including tax = 375+3.75x

We are given that Bethany paid $408.75 for a pair of diamond stud earrings.

So, 375+3.75x=408.75

3.75x=408.75-375

x=\frac{408.75-375}{3.75}

x=9

Hence She paid 9% of sales tax

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4 years ago
Write an equation for a circle with center at (5,-2) and diameter of 8 centimeters.
mars1129 [50]

Answer:

(x-5)^2+(y+2)^2=16

Step-by-step explanation:

lol brainlessly...

General Circle function: (x-h)^2+(y-k)^2=r^2, where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius.

The radius of the circle is half the diameter so: 8 / 2 = 4

The x-coordinate of the circle is 5

The y-coordinate of the circle is -2

Plug in.

(x-5)^2+(y-(-2))^2=4^2

(x-5)^2+(y+2)^2=16

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4 years ago
Look at picture, answer CORRECT, and get brainliest
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Answer:

The first one is correct.

Step-by-step explanation:

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5 0
3 years ago
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Solve each equation by factoring.<br> (x – 7)(2x - 3) = 0
Orlov [11]

Answer:

x = 7 and 3/2

Step-by-step explanation:

We can say:

x - 7 = 0 and 2x - 3 = 0

<em>Lets solve for x - 7 = 0 first:</em>

Add 7 to each side of "="

=> <u>x = 7</u>

<em>Now lets solve for 2x - 3 = 0</em>

First add 3 to each side of "="

=> 2x = 3

Now divide each side by 2

<u>=> x = 3/2</u>

Hope this helps!

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3 years ago
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