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kow [346]
3 years ago
8

L Pretest Unit 2

Mathematics
1 answer:
Art [367]3 years ago
6 0

Answer:

Option (c) is correct.

Step-by-step explanation:

The edge length of a cube is 5 cm.

We need to find the volume of the cube.

The formula for the volume of a cube is given by :

V=a^3

Put a = 5 cm in above formula

V=(5)^3\\\\=125\ cm^3

Hence, cubic centimeters is the appropriate unit for measuring the volume of a cube.

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A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $460. How many of each type of bill d
Andru [333]

Answer:

$10 bill = 14 and  $20 bill = 16.

Step-by-step explanation:

Given  : A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $460.

To find :  How many of each type of bill does the cashier have.

Solution : We have given that

A cashier has 30 bills

Let bill of $10  = x .

Bill of $20 = y .

Money of  $10  = 10x .

Money of  $20  = 20y.

Total bill

x + y = 30-------(1)

10x + 20y = 460-----(2)

On multiplying equation 1 by 10 and subtracting from equation 2.

10x + 20 y = 460

(-)10x +(-) 10 y =  (-)300

______________

0  +  10 y = 160 .

On dividing  by 10

y  = 16 .

Plug y = 16 in equation 1

x + 16  = 30

On subtracting both sides by 16.

x = 30 - 16.

x  = 14

Therefore, $10 bill = 14 and  $20 bill = 16.

4 0
4 years ago
What are the solutions to this equation?<br><br> 16x2 + 9 = 25
mash [69]

Answer:

Step-by-step explanation:

Solution

= −1

= 1

3 0
3 years ago
Read 2 more answers
Arithmetic sequence find the next next term in the sequence 44, 51, 58, 65
brilliants [131]
The general term of the number sequence is +7 therefore the next teem would be 65+7=72
7 0
4 years ago
In the diagram below, P is circumscribed about quadrilateral ABCD. What is the value of x?
alexira [117]
We know that
In any quadrilateral where the vertices are on the circumference of a circle, the opposite angles add up to 180 degrees. 

So,
 in this problem
(x+20) + 110 = 180 \\ x+130=180 \\ x=180-130 \\ x=50degrees

therefore

the answer is
x=50degrees
7 0
4 years ago
Read 2 more answers
Find the slope given the points (-5,-3) and (2,4)
Setler79 [48]

Answer:

The slope of the line is 1.

Step-by-step explanation:

We are given two coordinate points:

  • (-5, -3)
  • (2, 4)

We can use the rate of change formula to find the slope of the points.

  • \displaystyle \frac{\triangle y}{\triangle x}

In mathematics, coordinate pairs are labeled as:

(x_1, y_1) \ \text{and} \ (x_2, y_2)

Therefore, we can relabel our points:

  • x_1 = -5
  • y_1 = -3
  • x_2 = 2
  • y_2 = 4

After we do this, we can expand the rate of change formula:

\displaystyle m = \frac{y_2-y_1}{x_2-x_1}

Now, we can use simple substitution to solve for m, or the slope.

\displaystyle m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{2-(-5)}\\\\m = \frac{7}{7}\\\\m = 1

Therefore, the slope of the line is 1.

8 0
3 years ago
Read 2 more answers
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