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3 years ago

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

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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:

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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

miss Akunina [59]

Answer:

The first one is correct.

Step-by-step explanation:

I know a thing or two about a thing or two about powers of 10.

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3 years ago

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Solve each equation by factoring. (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

Lets solve for x - 7 = 0 first:

Add 7 to each side of "="

=> x = 7

Now lets solve for 2x - 3 = 0

First add 3 to each side of "="

=> 2x = 3

Now divide each side by 2

=> x = 3/2

Hope this helps!

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3 years ago