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Ierofanga [76]
3 years ago
6

This week Kent works 15 hours at$12.50 an hour His Paycheck Including his commission was $263.85 can was to know how much earned

in commission which Equation with be the 1st step To finding how much Kent earned in commission
Mathematics
2 answers:
yan [13]3 years ago
8 0

The equation would be: 253.85 = (15)12.50 + x

The steps for solving the equation are:

253.85 = (15)12.50 + x (Multiply 15 and 12.50.)

15 x 12.50 = 187.50

253.85 = 187.50 + x (Now subtract 187.50 from 253.85)

253.85 - 187.50 = 187.50 - 187.35 + x

66.35 = x

He made $66.35 from commission.

Kruka [31]3 years ago
5 0

Answer:

83.85 is the amount of commission kent made. hope it helps :)

Step-by-step explanation:

15*12.50= 180

263.85-180=83.85

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Estimate. Then record the product $149 x 5
pashok25 [27]
149 will be rounded to 150 so 150×5= 750
4 0
3 years ago
Find the value of x
ad-work [718]
Answer:
18

It’s literally 72 divided by 4 which equals 18
7 0
3 years ago
Find the measure of the central angle of a sector if its area is 5 pi and the radius is 6
lesantik [10]
For this case we use the following formula
 Area of Sector = Area * radians of sector / 2 * pi radians
 Where,
 Area: it is the area of the complete circle.
 We have then:
 Area = pi * r ^ 2
 Area = pi * (6) ^ 2
 Area = 36pi
 Substituting values:
 5pi = 36pi * radians of sector / 2 * pi
 Clearing:
 radians of sector = ((5pi) * (2pi)) / (36pi)
 radians of sector = (10pi ^ 2) / (36pi)
 radians of sector = (10pi) / (36)
 radians of sector = (10/36) pi
 radians of sector = (5/18) pi
 in degrees:
 (5/18) pi * (180 / pi) = 50 degrees
 Answer:
 The measure of the central angle is:
 50 degrees
3 0
3 years ago
The question is below
Ad libitum [116K]

Answer:

£59.25

Step-by-step explanation:

Hello!

To solve this problem, we must:

  1. Solve for the length of the fence (aka height)
  2. Find the area of the lawn (trapezoid)
  3. Find the number of cans needed
  4. Find the price of all the cans

Area of a trapezoid, and why the formula works:

A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.

To find the area of a trapezoid, we use the formula:

\frac{B_1 + B_2}{2}* h

This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.

Solve for height:

The height is unknown but can be found using the Pythagorean Theorem.

The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.

Difference = 20 - 12 = 8

Hypotenuse = 17

  • 8² + fence² = 17²
  • 64 + fence² = 289
  • 225 = fence²
  • fence = 15

The height is 15

Solve for area:

Now we can solve for the area.

  • A = \frac{B_1 + B_2}{2} * h
  • A = \frac{12 + 20}{2} * 15
  • A = \frac{32}{2} * 15
  • A = 16 * 15 = 240

The area is 240

Cans:

The area of the lawn is 240 square meters. Each can cover 100 square meters.

  • 240 ÷ 100 = 2.4

Since we can't use part of a can, we round up to three whole cans.

The price of 3 cans :

  • 3 * 19.75
  • 59.25

£59.25

The Pythagorean Theorem:

The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.

The formula is : a^2 + b^2 = c^2

  • a is a leg
  • b is a leg
  • c is the hypotenuse

Images attached for your reference

7 0
2 years ago
What is the slope of the linear function..........​
Sergio [31]

Answer:

-1

Step-by-step explanation:

slope: change in y divided by change in x

y2-y1/x2-x1

-11-(-5)/4-(-2)

-11+5/4+2

-6/6

-1

5 0
3 years ago
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