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Ulleksa [173]
3 years ago
8

Carol earns a 13% commission on the sales she makes.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0

Answer:

$234

Step-by-step explanation:

Let x be the money made in sales. Let y be the commission.

First, convert 13% to a decimal.

13% = 0.13

Make your equation:

0.13x = y

Plug in the value of sales for x.

0.13(1800) = y

y = $234

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Giovanna,frances,and their dad each carried a 10-pound bag of soil into the backyard. after putting soil in the first flower bed
n200080 [17]
You need to find out how many pound of dirt they put in the 1st flower bed. 5/8+2/5+3/4. 1 pound = 16 ounces so what ever you get * 16 to get how ever many ounces. I hope this helped. :)
5 0
4 years ago
Which expressions represent the product of exactly two factors?
egoroff_w [7]

Answer:

B, C,

Step-by-step explanation:

A - This is addition. Finding a product refers to multiplication, so this is not correct.

B - This is multiplication of 5x × 5y, exactly two factors, so this is correct.

C - This is multiplication of (x-y) × (x+y). Each equation inside the parenthesis equals one factor, so this is multiplication of exactly two factors. This answer is also correct.

D - This is multiplication of three factors, x × y × z, and is not correct.

5 0
4 years ago
What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?
mafiozo [28]

Answer:

(x-7)^2+(y-5)^2=16.

Step-by-step explanation:

The given circle has equation x^2+y^2=16.

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

The equation of a circle with center (h,k) and radius r units is (x-h)^2+(y-k)^2=r^2.

This implies that, the translated circle will now have equation.

(x-7)^2+(y-5)^2=4^2.

(x-7)^2+(y-5)^2=16.

7 0
3 years ago
15
Makovka662 [10]

Answer:

Option A ( -3/2 , \frac{-3\sqrt{3} }{2} )

Step-by-step explanation:

  • According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .
  • Now We Are on ( -X axis ) & Completed 360*+180*=540* Rotation
  • Now After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)  

(For Diagram, Please Find in attachment)

Now In Triangle OAB

  • Cos60* = OA / OB

        1/2 = -X / 3 Thus X= -3/2

  • Sin60* = AB / OB

        \sqrt{3}/2 = -Y / 3 Thus Y = -\sqrt{3} * 3 /2

6 0
3 years ago
You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on con
AlladinOne [14]

Using the z-distribution, a sample size of 180 is needed for the estimate.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is given by:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 98% confidence level, hence\alpha = 0.98, z is the value of Z that has a p-value of \frac{1+0.98}{2} = 0.99, so the critical value is z = 2.327.

The population standard deviation is of \sigma = 23, and to find the sample size, we have to solve for n when M = 4.

Hence:

M = z\frac{\sigma}{\sqrt{n}}

4 = 2.327\frac{23}{\sqrt{n}}

4\sqrt{n} = 2.327 \times 23

\sqrt{n} = \frac{2.327 \times 23}{4}

(\sqrt{n}) = \left(\frac{2.327 \times 23}{4}\right)^2

n = 179.03.

Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
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