Write an equation of the line that passes through a pair of points:

a. y = x + 3
b. y = x - 3
c. y = -x + 2
d. y = -x-2

Answer:

Width: 13 inches

Step-by-step explanation:

To find the width of prism you would have to divide the volume of the prism by the area of the cross section.

First calculate the area of the cross section of the prism:

17 × 25.5= 433.5

Then divide the cross section area by the volume:

5635.5 ÷ 433.5= 13  

The width is 13 inches

Answer:

Here's a calculator that should help

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php

Options:

A. 18, 20, 20, 22, 25

B. 20, 20, 20, 25, 25

C. 16, 19, 21, 22, 22

D. 20, 20, 21, 22, 22

Answer:

A. 18, 20, 20, 22, 25

Step-by-step explanation:

Required

Which list has a mean of 21 and median of 20

Each of the list have 5 numbers and they've all been sorted.

The median is the number at the 3rd position (i.e. the middle number)

So, list C and D are out because they do not have a median of 20.

Next, calculate the mean of lists A and B

[tex]\bar x = \frac{\sum x}{n}[/tex]

A. 18, 20, 20, 22, 25

[tex]\bar x = \frac{18 + 20 + 20 + 22 + 25}{5}[/tex]

[tex]\bar x = \frac{105}{5}[/tex]

[tex]\bar x = 21[/tex]

B. 20, 20, 20, 25, 25

 [tex]\bar x = \frac{20 + 20 + 20 + 25 + 25}{5}[/tex]

[tex]\bar x = \frac{110}{5}[/tex]

[tex]\bar x = 22[/tex]

Only list A has a median value of 20 and a mean value of 21

Answer:

The equations are

X + Y = 48 ----Eq (1)

Y = 2 X -----Eq (2)

Solution of the equations and the two number are

X = 16, Y = 32

Step-by-step explanation:

Let the two numbers be X and Y

Given -

The sum of two numbers is 48.

Thus, X + Y = 48 ----Eq (1)

The second number is twice the first

Thus, Y = 2 X -----Eq (2)

Substituting the value of Y in equation (1), we get -

X + 2X = 48

3 X = 48

X = 16

Y = 2 X = 32

Answer:

.

Step-by-step explanation:

Answer:

$36

Step-by-step explanation:

Given :

Interest rate, r = 8% = 0.08

Principal, P = 150

Time, t = 3 years

Simple interest = (principal * rate * time)

Simple interest = (150 * 0.08 * 3)

Simple interest = $36

Answer:

The A matches the table x+3

Answer:

Step-by-step explanation:

1 pound = 16 ounces

35 pounds = 560 ounces + 24 ounce = 584ounces

35 pounds,24ounces = 16 ounces

Answer:

D?

Step-by-step explanation:

Im not exactly sure

Answer:

i believe the answer you're looking for is A/ 15

Step-by-step explanation:

hi there!

so its been a quick minutes since i have done a stem and left plot but the question is asking how many quarters had less then 20 points scored

here is a stem and leaf plot that i had made to make it easier for me to explain this problem it you!

_stem__|__leaf_____________________________________

         0   |  0, 2, 3, 7, 7, 8, 9

         1    |  0, 1, 4, 4, 4, 7, 7, 7

         2   |  0, 1, 7, 8, 9

         3   |

         4   | 2, 3, 6, 8

as you can see, i bolded each number that was less then the number 20, if we counted how many of the numbers that were bold in that stem and leaf plot the number would be 15!

sorry this was such a short answer! but i do hope i helped you with this :)

Answer: What percentage is 15 out of 75?

20

Percentage Calculator: 15 is what percent of 75? = 20.

Answer:

5%

Step-by-step explanation:

Given:

The two functions are:

[tex]P(x)=x^2-x-6[/tex]

[tex]Q(x)=x-3[/tex]

To find:

The function [tex]P(x)-Q(x)[/tex].

Solution:

We need to find the function [tex]P(x)-Q(x)[/tex].

[tex]P(x)-Q(x)=(x^2-x-6)-(x-3)[/tex]

[tex]P(x)-Q(x)=x^2-x-6-x+3[/tex]

[tex]P(x)-Q(x)=x^2+(-x-x)+(-6+3)[/tex]

[tex]P(x)-Q(x)=x^2-2x-3[/tex]

Therefore, the correct option is C.

Answer: 3. Tan; 4. 4.76; 5. 12

Step-by-step explanation: First question: SOH CAH TOA; if you draw a picture with the given information you know the Opposite and Adjacent sides to the upper left angle, or OA which is also Tan according to Soh Cah Toa. Second question: Use inverse tan(1/12) to solve. Third question: Same idea as the last question but use inverse sin(1/5)

Answer:

The answer is B

Step-by-step explanation:

Answer: its B i did the quiz lol

Step-by-step explanation:

Answer:

x = 120 degrees or (c)

Step-by-step explanation:

It's 120 degrees...

...

Answer:

Lines m and n are parallel.

Step-by-step explanation:

< 6 and < 14 are both equal to 72 degrees and they are corresponding angles for lines m and n.

Answer:

C is the answer thank you

Answer:

222222222/1000000000

Step-by-step explanation:

In a river bank

you can put the answers from the end

1.) 1/12

2.) 2/13

3.) 8/41

4.) 1/4

5.) 11/74

6.) 2/35

7.) 15/58

8.) 5/18

9.) 1/7

10.) 1/13

Answer:

a) The person who washed the most of the laundry is Mrs Smith

b) 4/15 of the laundry is left to wash

Step-by-step explanation:

Mrs. Smith washed 2/5 of her laundry. Her son washed 1/3 of it.

a) Who washed most of the laundry?

We convert the fraction of laundry each person washed to decimal

Mrs Smith = 2/5 = 0.4

Her son = 1/3 = 0.333

Therefore, the person who washed the most of the laundry is Mrs Smith

b) How much of the laundry still needs to be washed?

Let us total laundry = 1

=1 - ( 2/5 + 1/3)

Lowest Common Denominator is 15

=1- (3 × 2 + 5 × 1/15)

= 1 - (6 +5/15)

=1 - 11/15

= 4/15

Answer:

330

Step-by-step explanation:

Answer:

335.5

Step-by-step explanation:

Answer:

72 inches

Step-by-step explanation:

Due to the programming error, the robot first moves to the right and then to the left. The second time it moves to the right, it increases its distance by 1 foot to the right and then turns back and moves to the left, reaching the starting position again.

The patterns is as follows:

move 1: moves to the right by 1 foot.

moves 2: moves to the left.

moves 3: moves to the right by 2 feet.

moves 4: moves to the left

moves 5: moves to the right by 3 feet.d

moves 6: moves to the left

moves 7: moves to the right by 4 feet.

moves 8: moves to the left

moves 9: moves to the right by 5 feet.

moves 10: moves to the left

moves 11: moves to the right by 6 feet.

We see that in the end, the robot has managed to only move 6 ft. Since 1 ft = 12 inches, 6 ft = 6* 12 = 72 ft.

So, the robot has painted 72 inches of the fence before Kiteretsuki returns.

Answer:

No. of students enrolled in Health = 63

No. of students enrolled in P.E. = 181

Step-by-step explanation:

Given,

Total students in grade seven = 244 students

A.T.Q.

Let the number of students enrolled in Health be x

so, The number of students enrolled in P.E. = 3x - 8

As we know,

x + (3x - 8) = 244

4x = 244 + 8

x = 252/4

x = 63

Thus, the number of students enrolled in Health = 63

The number of students enrolled in P.E. = 3x - 8

= 3 * 63 - 8

= 189 - 8

= 181 students

Answer:

4 horas para compatir com su familia

Answer:

48 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

If one angle is 132 degrees, the other must be 48 degrees.

Answer:

19/21

Step-by-step explanation:

1×7+4×3/21

19/21

Answer:

Solution given:

we have

<A+<B=exterior <C[sum of two opposite interior angle of a triangle is equal to the exterior angle in a triangle]

So

3x-13+ 2x+4=116°

5x-9=116°

5x=116°+9°

x=125/5

x=25

Now

<A=3×25-13=62°

<B=2×25+4=54°

Answer:

[tex]3x - 13 + 2x + 4 = 166 \\ 5x - 9 = 116 \\ 5x = 166 + 9 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = 25 \\ \\ a = 3 \times 25 - 13 = 62 \\ b = 2 \times 25 + 4 = 54[/tex]

Answer:

C) Line A does not intersect Line B.

Step-by-step explanation:

Line A passes through (6 ,-30) & (-2 , 10)

Line B passes through (-4 , 28) & (2 , -2)

Find the slopes for each line. To find the slope, use the slope formula:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Line 1:

Let:

[tex](x_1 , y_1) = (6 , -30) \\(x_2 , y_2) = (-2 , 10)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{10 - (-30)}{-2 - 6} = \frac{10 + 30}{-8} = \frac{40}{-8} = \frac{-5}{1}[/tex]

Line 2:

Let:

[tex](x_1 , y_1) = (2 , -2)\\(x_2 , y_2) = (-4 , 28)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{28 - (-2)}{-4 - (2)} = \frac{28 + 2}{-4 - 2} = \frac{30}{-6} = \frac{-5}{1}[/tex]

The two lines share the same slope, therefore, they are parallel to each other. This means that they do not intersect at any given point.