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Paul [167]
3 years ago
10

A restaurant sells refill cup for $7.75.Each refill cost $1.25.last month,Roger spent $32.75 on a cup and refill.whoch equation

could be used to find the number of refills Roger bought
Mathematics
1 answer:
Bess [88]3 years ago
6 0
7.75+1.25x= 32.75
32.75-7.75=25
1.25x= 25
25 divided by 1.25
X= 20
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Find the fifth roots of 243(cos 240° + i sin 240°). (5 points)
MakcuM [25]

Answer:3

Step-by-step explanation:r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240), then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).

3 0
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1200 people pass by the road in one day. How many people passed by the road in an hour?
Zinaida [17]
Hello!

First you have to find out how many hours are in a day

There are 24 hours in a day

Since 1200 people pass a day to find the hourly rate you do

1200 / 24

This gives us the answer of 50

Hope this helps!
5 0
4 years ago
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Find the solution of y = 2x + 5 for x = 1
ArbitrLikvidat [17]

y = 2x+5

y = 2(1)+5

y = 2+5

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7 0
4 years ago
You have land that you would like to use to create two distinct fenced-in areas in the shape given below. You have 410 meters of
mariarad [96]

Answer:

x = \frac{205}{3}

y =\frac{195}{4}

Step-by-step explanation:

Given

p = 410 --- perimeter

See attachment for fence

Required

x and y

The perimeter of the fence is:

p = 2(x + y +5 + y) +x

Open bracket

p = 2x + 2y +10 + 2y +x

Collect like terms

p = 2x+x + 2y  + 2y+10

p = 3x + 4y+10

Substitute: p = 410

3x + 4y+10 =410

Make 4y the subject

4y =410-10-3x

4y =400-3x

Make y the subject

y =\frac{400-3x}{4}

The area (A) of the fence is:

A = (y + y + 5) * x

A = (2y + 5) * x

Substitute: y =\frac{400-3x}{4}

A = (2*\frac{400-3x}{4} + 5) * x

A = (\frac{400-3x}{2} + 5) * x

Take LCM

A = (\frac{400-3x+10}{2}) * x

Solve like terms

A = (\frac{410-3x}{2}) * x

Open bracket

A = \frac{410x-3x^2}{2}

Remove fraction

A = 205x-1.5x^2

Differentiate both sides

A' = 205 - 3x

To maximize; set A' =0

205 - 3x =0

Solve for 3x

3x = 205

Solve for x

x = \frac{205}{3}

Recall that: y =\frac{400-3x}{4}

So, we have:

y =\frac{400-3*205/3}{4}

y =\frac{400-205}{4}

y =\frac{195}{4}

7 0
3 years ago
PLs help me find the surface area of the box thxsssss
Murljashka [212]

Answer:

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front side x 2 = 176

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Sum = 290

5 0
4 years ago
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