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Elis [28]
3 years ago
11

Figures are similar. Find x.

Mathematics
1 answer:
katrin [286]3 years ago
8 0

Answer:

24.3

Step-by-step explanation:

18/20 = x/20 (similar triangles)

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(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain.
cricket20 [7]
A) there is a linear relationship with the test scores go up with increasing hours spent on hw

b) y=8x+40 so at x=3h, y=test score= 8*3+40 = 64

c) 40 represents test score when u spend 0 hour on hw


5 0
3 years ago
Read 2 more answers
The sugar company will choose from two companies to transport its sugar to market. the first company charges $6500 to rent truck
yulyashka [42]

Answer:

20 ton

Step-by-step explanation:

We created a system of two separate equations to answer these questions.

"y" will be the total cost to transport the sugar

"x" will be the amount of sugar transported

Therefore, we have to:

y = 3995 + 225.50 * x

y = 6500 + 100.25 * x

We must establish these equations equal to each other because it asks how much of x is necessary to make the same amount of y, therefore:

3995 + 225.50 * x = 6500 + 100.25 * x

solved we have:

225.50 * x - 100.25 * x  = 6500 - 3995

125.25 * x = 2505

x = 2505 / 125.25

x = 20

which means that when the amount of sugar transported is 20 tons, the price is the same

4 0
3 years ago
What is the factored form of x2 − 4x − 5?
laiz [17]
Factored Form:
x^2 - 4x - 5
Simplifying:
x^2 +  - 4x +  - 5 = 0

Reorder the terms:
- 5 +  - 4x + x^2 = 0

Solving for variable " x":
Subproblem 1:
Set the factor ( - 1 +  - 1x) equal to Zero and attempt to solve.

Simplifying:
- 1 +  - 1x = 0

Solving:
- 1 +  - 1x = 0
Move all terms containing x to the left, all other terms to the right

Add 1 to each side of equation:
- 1 + 1 +  - 1x = 0 + 1

Combine Like Terms: 0 + 1 = 1
x =  - 1


Divide each side by - 1
x =  - 1

Simplifying:  x =  -  1


Subproblem 2: Set the factor (5 +  -  1x) equal to Zero attempt to solve

Simplifying:
5 +  - 1x = 0

Move all terms containing x to the left, all other terms to the right
Add - 5 to each side of the equation
5 +  - 5  +  - 1x = 0 + 5

Combine Like terms:  5 +  - 5 = 0
0 +  - 1x = 0 +  - 5
- 1x = 0 +  - 5

Combine Like Terms: 0 +  - 5 = - 5
- 1x =  - 5

Divide each side by - 1
x = 5

Simplifying:
x = 5

Solution:
x = { - 1,  5}





Answer when factored:
(x + 1)(x - 5)







hope that helps!!!
4 0
3 years ago
Read 2 more answers
The equation we are given (-at² + bt + c) is a parabola. How do we know this?
Scrat [10]

It's a polynomial of degree 2. Every polynomial of degree 2 is a parabola

4 0
3 years ago
The sum of 30 and twice a number is 48. Find the number?
lesya [120]

Answer:

9 is the number

Step-by-step explanation:

Let's call this number x

The equation is:

30+2x=48

subtract 30 from both sides and you get

2x=18

divide 2 from both sides and you get

x=9

Therefore, 30+2(9)=48

3 0
3 years ago
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