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Svetradugi [14.3K]
4 years ago
8

During summer vacation, you charge $8 per hour for swimming lessons and a $20 registration fee. If you make $52 one day how many

hours did you send teaching lessons?
What would be the equation for this problem?
Mathematics
1 answer:
forsale [732]4 years ago
3 0

8h + 20 = 52

Hope this helps! Please give brainliest!

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Please help! Giving Brainliest for the best answer!
klasskru [66]

Answer:

  • D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

Step-by-step explanation:

<em>See the picture for better visual</em>

Take segments ST and S'T'. If we extend them they will intersect at right angle.

It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.

The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.

<u>This rotation rule is:</u>

  • (x, y) → (y, -x)

We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.

<u>We now can conclude the correct choice is D:</u>

  • A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

8 0
3 years ago
Kindly answer this one. Thank you.​
steposvetlana [31]

Answer:

See below.

Step-by-step explanation:

I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.

♦  The midline's length is the average of the lengths of the top and bottom parallel sides.

AL=\frac{OR+CE}{2}

Use this equation and substitute values given in each problem, then solve for the missing information.

1. AL = x, CE = 9, OR = 5

x=\frac{9+5}{2}=7

2. AL = <em>m</em> - 4, CE = 15, OR = 17

m-4=\frac{15+17}{2}=16\\\\m-4=16\\\\\\m=20\\\\AL=20-4=16

3. OR = y + 5, AL = 15, CE = 18

15=\frac{(y+5)+18}{2}\\\\15=\frac{y+23}{2}\\\\30=y+23\\\\7=y\\\\OR = 7+5=12

4 0
3 years ago
Keith earns $43.00 in 4 hours. how much will he earn in 11 hours
PolarNik [594]
You have to divide $43 by 4 to get the hourly rate. After the math is done, we know that Keith earns $10.25 per hour. Now you have to mulitiply $10.25 by 11 (since you want to know how much Keith get in 11 hours) which would give you $118.25 in 11 hours. YOU'RE WELCOME :D
5 0
3 years ago
Read 2 more answers
Steph runs a vehicle body repair shop with one mechanic in Cleveland. Repair time for vehicles is exponentially distributed, wit
horsena [70]

Answer:

System utilization = 0.7 or 70%

Step-by-step explanation:

Given arrival rate of customer = 15 customer/Hour

Servie rate = \dfrac{60}{2.8} customer/Hour

Now, use the below formula to find the system utilization.

System utilization = \dfrac{\text{ Arrival rate of customer }}{\text{ Servie rate}}

System utilization = \dfrac{15}{ \dfrac{60}{2.8}}

System utilization = \dfrac{15}{ \dfrac{60}{2.8}}

System utilization = 0.7 or 70%

5 0
3 years ago
The equation of a parabola is 1/32 (y−2)2=x−1 .
Andru [333]

The given equation of parabola is

\frac{1}{32} (y-2)^2 = x-1

Which can also be written as

x = \frac{1}{32} (y-2)^2 +1

Here vertex (h,k) is (1,2)

And value of a is

a = \frac{1}{32}

Formula of focus is

(h+ \frac{1}{4a} , k)

Substituting the values of h,k and a, we will get

(1+ \frac{1}{4*(1/32) } , 2} = (1+ 8,2) = (9,2)

Therefore the correct option is the last option .

6 0
3 years ago
Read 2 more answers
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