Solve for f(-1) f(x)=-3x +3 f(-1)=?

You purchased 8 gal of paint and 3 brushes for 152.5. the next day, you purchased 6 gal of paint and 2 brushes for 113. how much

kotegsom [21]

Let the price of paint be x and the price of brush be y

8x + 3y = 152.5 ------------ (1)
6x + 2y = 113 --------------- (2)

(1) x 2 :
16x + 6y =305 -------------(1a)

(2) x (3) :
18x + 6y = 339 -------------(2a)

(2a) - (1a) :
2x = 34
x = 17 ---------- sub into (2)
6(17) + 2y = 113
102 + 2y = 113
2y = 113 - 102
2y = 11
y = 5.5

x = $17, y = $5.50

Each gallon of paint costs $17 and each brush costs $5.50

3 0

3 years ago

A rectangular swimming pool that is 10 ft wide by 16 ft long is surrounded by a cement sidewalk of uniform width. If the area of

Alchen [17]

We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.

The value of x is 5 feet.

5 0

3 years ago

Hello me please asap

solniwko [45]

Answer:

7,10,19 and 4,5,9

Step-by-step explanation:

According to the Triangle Inequality theorem, then largest side of a triangle must be smaller than the sum of the smaller sides. For example, in 5,6,8, the largest side is 8, and 5 + 6 = 11, which is larger than 8. 7 + 10 = 17, which is not larger than 19, and 4 + 5 = 9, which is not larger than 9

6 0

3 years ago

Sara is building a circular garden with a radius of 14 m. She can buy the fencing in

mojhsa [17]

Answer:

she need to buy 9 packs

Step-by-step explanation:

C = 2πr

= 2·3.14·14

= 87.92 m

she need to buy 9 packs

5 0

4 years ago

Read 2 more answers

Is 2.73234(34 repeating) rational or irrational?

Fittoniya [83]

It's rational because of the repeating digits.

We have

x = 2.732343434…

Then

1,000x = 2,732.343434…

and

100,000x = 273,234.343434…

Subtracting these makes the fractional part go away, leaving you with

100,000x - 1,000x = 273,234.343434… - 2,732.343434…

100,000x - 1,000x = 273,234 - 2,732

99,000x = 270,502

x = 270,502/99,000 = 135,251/49,500

which is clearly a rational number.

5 0

3 years ago