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Alex777 [14]
3 years ago
9

Sara is hiring a babysitter who charges $20 per hour plus a $10 travel fee. What equation represents y, the amount of money the

babysitter will charge for x hours of service? *
Mathematics
1 answer:
stellarik [79]3 years ago
4 0

Answer:

20x+10=y

Step-by-step explanation:

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- Let y represent the width of a rectangle and let x represent the rectangle's lengu.
valentina_108 [34]

Answer:

Length: 21 cm and Width:  6cm

Step-by-step explanation:

Let y be the width and x length of the rectangle. We know:

x = 4y -3 -------- eq. 1

54 = 2x + 2y    (Perimeter of the rectangle) ------- eq.  2

Substitute equation 1 in equation 2:

54 = 2(4y-3) + 2y\\54 = 8y - 6 + 2y\\54 + 6 = 8y + 2y\\60 = 10 y\\\\\frac{60}{10}= y\\y = 6

Using the value of y, we find x.

x = 4y - 3\\x = 4(6) -3\\x= 24 - 3\\x = 21

4 0
3 years ago
How do I solve this?<br><br> x/3 + x^2 + 2x^2 - x/3
Anna11 [10]

Answer:

3x²

Step-by-step explanation:

\frac{x}{3}  + x^{2} +2x^{2} -\frac{x}{3} =

x^{2} +2x^{2} =

3x^{2}

3 0
2 years ago
The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region? 2x2 4x2 6x2 8x2
notka56 [123]
The picture in the attached figure

we know that
area of the <span>the shaded region=area of rectangle -area of a kite

area of rectangle=(3x+x)*(x+x)----> 4x*2x---> 8x</span>²

area of a kite=(1/2)*[d1*d2]
where d1 and d2 are the diagonals
d1=4x
d2=2x
so
area of a kite=(1/2)*[4x*2x]----> 4x²

area of the the shaded region=8x²-4x²-----> 4x²

the answer is 
4x²

5 0
3 years ago
Read 2 more answers
What is a radius of a circle given by the equation x²-2x+8y-47=0
Zolol [24]
First, we are going to rewrite it as a parabola equation.
Rewrite.
8y=-x^2+2x+47
Divide by 8.
y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}
Factor out coefficient.
y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}
Then, we are going to convert x into square form.
y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}
Convert the whole expression into square form.
y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}
Simplify.
y=-\frac{1}{8}\left(x-1\right)^2+6
Subtract 6 from both sides.
y-6=-\frac{1}{8}\left(x-1\right)^2
Divide by coefficient.
-8\left(y-6\right)=\left(x-1\right)^2
Rewrite in standard form.
4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive. 
Have a nice day! :)
7 0
3 years ago
Read 2 more answers
24. A farmstand collected $350 from sales on Wednesday. This amount was $75
larisa [96]

Answer:

$100

Step-by-step explanation:

Given:

  • Wednesday sales = $350

If the amount collected from sales on Wednesday was <u>$75 greater</u> than the amount collected from sales on Tuesday, then Tuesday's sales were $75 <u>less</u> than Wednesday's sales:

  • Tuesday sales = $350 - $75 = $275

If the amount collected from sales on Wednesday was <u>two times as great</u> as the amount collected from sales on Monday, then Monday's sales were <u>half</u> Wednesday's sales:

  • Monday sales = $350 ÷ 2 = $175

To calculate how much more the farmstand collected from sales on Tuesday than it collected on Monday, <u>subtract</u> the Monday sales from the Tuesday sales:

  • $275 - $175 = $100
8 0
2 years ago
Read 2 more answers
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