Find the value of x in each case. Give reasons to justify your solutions!

Q ∈ PR

Answer:

Step-by-step explanation:

Answer:

the answer is 420km.

Step-by-step explanation:

Given speed of car =60km/hr

then,distance travelled in 7hours

=speed×time

=60×7=420

=distance 420 km.

Answer:

-The distance:

[tex]d = 1[/tex]

Step-by-step explanation:

-To find the distance between points [tex](-8,-2)[/tex] and [tex](-7,-2)[/tex], you the distance formula:

[tex]d = \sqrt{(x_{2} - x_{1})^{2} + ( y_{2} - y_{1})^{2}}[/tex]

-Use the two given points [tex](-8,-2)[/tex] and [tex](-7,-2)[/tex] for the distance formula:

[tex]d = \sqrt{(-7 + 8)^{2} + (-2 + 2)^{2}}[/tex]

-Then, solve the formula:

[tex]d = \sqrt{(-7 + 8)^{2} + (-2 + 2)^{2}}[/tex]

[tex]d = \sqrt{(1)^{2} + (0)^{2}}[/tex]

[tex]d = \sqrt{1 + 0}[/tex]

[tex]d = \sqrt{1}[/tex]

[tex]d = 1[/tex]

So, the answer for the distance would be [tex]d = 1[/tex] .

Answer: x > 20

Step-by-step explanation:

x + 10 > 30

    -10     -10

x > 20

Answer:

x-3

Step-by-step explanation:

x+7-7>10-7

subtract 7 from both sides

We would prefer to use a graphing calculator because it will give a more exact solution, because it is easier to read, and because it is faster to do.

There are multiple ways, one of them is by graphing the lines and seeing where the lines intersect.

Now, there are two ways of doing this, graphing by hand and using a graphing calculator.

There are cases where graphing by hand is enough, but is more time-consuming than using a graphing calculator. But there are cases where the intersection happens at a point with irrational values, these cases is really hard to find the solution in a graph by hand (as it can have mistakes and you can't zoom in). While if you used a graphing calculator, you could zoom is as much as you want, so you would get a really good estimation for the solution.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

1500 ft

Step-by-step explanation:

1 yd=3 ft

500 yd*3 ft/yd=1500 ft

Answer:

1500 ft

Step-by-step explanation:

Multiply 500 yds by the conversion factor derived from 1 yd = 3 ft:

500 yd      3 ft

----------- * ----------- = 1500 ft

     1           1 yd

Answer:

Step-by-step explanation:

A. Shoreline isn't measured in area, but amount.

B. Houses aren't measured in feet, but square feet.

C. Mulch isn't sold by the yard, but the pound.

I'm always happy to help :)

Answer:

B. y=(2x-3)/(x-4)

Step-by-step explanation:

Find the asymptotes.

Vertical Asymptotes:  

x  =  4

Horizontal Asymptotes:  

y  =  2

No Oblique Asymptotes.

The graph.

Answer:

Please I can't see it it clearly

The given solid is triangular prism. Therefore, option B is the correct answer.

A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to the identical top and bottom faces. The name "prism" refers to the form of these bases. For instance, a prism is referred to be a triangular prism if its base is triangular.

A triangular prism is a three-dimensional (3D) object having two identical triangle-shaped faces joined by three rectangular faces. The bases are the triangle faces, while the lateral faces are the rectangular faces. The top and bottom (faces) of the prism are other names for the bases.

Therefore, option B is the correct answer.

Learn more about the prism here:

https://brainly.com/question/29722724.

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Answer:

451cm cubed

Step-by-step explanation:

The volume of any prism = Area of cross section times height.

So, we substitute area of Cross section with 41 cm squared and height with 11.

41 x 11 = 451

Answer:

I do not know this is harddd

Answer: A

Step-by-step explanation: we need to do 5/4*5/4*1/4. All of these multiplied by each other would be 25/64, so the answer is A.

Answer:

Sandy is 9 years old.

Step-by-step explanation:

R+S=24

R=2S-3

R=Randy, S=Sandy

Plug the value of R into the first equation.

2S-3+S=24

Now, simplify.

3S-3=24

Now, solve the equation for S. First add three to both sides.

3S=24+3=27

3S=27

Now divide both sides by 3.

S=9

Based on the information given, the age of Sandy will be 9 years.

The equation that can be used to solve the question will be:

R + S = 24 .... i

R = 2S - 3 ..... ii

Put equation ii into i

R + S = 24

2S - 3 + S = 24

3S = 24 + 3

3S = 27

S = 27/3

S = 9

Therefore, the age of Sandy will be 9 years.

Learn more about equations on:

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Short answer yes its true

Answer:

>

Step-by-step explanation:

Put the fractions in decimal

0.25 is greater than 0.167. Therefore, 2/8 is greater than 1/6

You can also use common denominators

Answer:

lll

Step-by-step explanation:

hope it's helpful

Most welcome

Answer:

a dot in an equation means multiplication

Answer: -920

Step-by-step explanation:

-447 - 473 = -920

In this case, smaller means more negative

Answer:

-920

Explanation:

To solve this problem, you simply need to subtract 473 by negative 447. Here is how you solve:

-447 - 473

- (447 + 473)

-920

Therefore, the new dot was on -920.

Answer:

y + 6 = 5/2(x + 2)

Step-by-step explanation:

The equation of the line passing through given points in point-slope form is y + 6 = (5/2)(x + 2). The correct answer is an option (C).

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Using the given points (-2, -6) and (6, 14), we can calculate the slope as:

slope = (14 - (-6)) / (6 - (-2))

= 20 / 8

= 5/2

Now, we can use the point-slope form of a line:

y - y₁= m(x - x₁)

where m is the slope and (x₁, y₁) is the point on the line. We can choose either of the given points to be the point on the line. Let's choose (-2, -6).

So, the equation of the line in point-slope form is:

y - (-6) = (5/2)(x - (-2))

Simplifying this equation gives us:

y + 6 = (5/2)(x + 2)

Therefore, the equation of the line passing through given points in point-slope form is:

y + 6 = (5/2)(x + 2)

Learn more about the Slope of the Line here:

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Answer:

A piece of duct measures 48 inches.

In each connection, we lost 1 1/2 inches (i guess that it is what you wanted to write)

Then:

If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them, so the number of connections is equal to the number of ducts minus two.)

So here we have 7 times 48 inches for the pieces, minus 5 times 1 1/2 in (i will write 1 1/2 = 1 + 0.5 = 1.5 in, so the math is easier)  for the connections, the length is:

L = 7*48in - 5*1.5in = 328.5 inches.

for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:

L = 12*48in - 10*1.5in = 561 in

Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.5in of the new connection:

L = 561in + 328.5in - 1.5in = 888in

Answer:

4/7

Step-by-step explanation:

4/7 is squared and then square rooted, changing nothing.

Answer:

1/6

Step-by-step explanation:

Since there is only 1 letter R in 6 options it is 1/6 (im not entirely sure)

Answer:   5/6

The complement of an event is basically the complete opposite.

If you define event A to be the event of selecting an R, then the complement of event A is not selecting R.

The probability of selecting R is 1/6 because there is 1 letter R out of 6 letters total. The complement of this is 5/6. You could count out 5 letters that aren't R, out of 6 total, or you can subtract 1/6 from 1 to get

1 - (1/6) = (6/6) - (1/6) = (6-1)/6 = 5/6

Answer:

B. 10

Step-by-step explanation:

The median is the middle number, so to find it, we must list the numbers from smallest to largest :

5, 5, 8, 11, 15, 21, 27, 34, 55

The median is 15

The mode is what number occurs most often, which is 5.

The difference will be found by subtracting 5 from 15:

15-5=10

Answer:

10

Step-by-step explanation: you have to find the median number and subtract by 5

5,5,8,11,15,21,27,5

also the median is middle number subtract by 5 because it want the difference number of electoral votes per state

15-5=10

Answer:

5%

Step-by-step explanation:

To find this percent, first divide 1 by 20.

1/20 = 0.05

Now, convert this decimal to a fraction by moving the decimal point 2 places to the right.

0.05 = 5%

Hope this helps! Feel free to ask me any questions :)

Answer:

5%

Step-by-step explanation:

1/20 = 5/100

5/100 equals 5%

Answer:

B

Step-by-step explanation:

40/100=4/10

Answer:

[tex]a_{1}=6[/tex]

Step-by-step explanation:

It is sum of arithmetic progression

[tex]$S_{20}=\frac{20}{2} [2a_{1}+(20-1)\cdot 4]$[/tex]

[tex]$880=10[2a_{1}+(19)\cdot 4]$[/tex]

[tex]$880=10[2a_{1}+76]$[/tex]

[tex]880=20a_{1}+760[/tex]

[tex]120=20a_{1}[/tex]

[tex]a_{1}=6[/tex]

Answer:

D. 125

Step-by-step explanation:

Given

[tex](\frac{1}{5})^{-3}[/tex]

Required

Find Equivalent

From law of indices

[tex](\frac{1}{a})^{-x} = \frac{1}{(\frac{1}{a})^{x}}[/tex]

So,

[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{5})^{3}}[/tex]

Expand denominator

[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{5})*(\frac{1}{5})*(\frac{1}{5})}}[/tex]

[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{125})}}[/tex]

Split expression on the right and side

[tex](\frac{1}{5})^{-3} = 1/{(\frac{1}{125})}}[/tex]

Convert divide (/) to multiplication (*)

[tex](\frac{1}{5})^{-3} = 1*{(\frac{125}{1})}}[/tex]

[tex](\frac{1}{5})^{-3} = 1*125[/tex]

[tex](\frac{1}{5})^{-3} = 125[/tex]

Hence, [tex](\frac{1}{5})^{-3}[/tex] is equivalent to 125

Answer:

About 4.5

Step-by-step explanation:

Since the full base has length 8, half of it must have length 4. Now, using the Pythagorean theorem, you can find x:

[tex]x=\sqrt{6^2-4^2}=\sqrt{36-16}=\sqrt{20}\approx 4.5[/tex] or answer choice D

Hope this helps!

Answer:the answer is 4

Step-by-step explanation:

Answer:

volume=1,000 cubic millimeters

weight=1 ounce

Step-by-step explanation:

40x25x2=1,000

volume=1,000 cubic millimeters

1,000x0.0005=1

weight=1 ounce

Answer:

Volume = 1000 cubic millimeters

weight = 1 ounce

Step-by-step explanation:

40 x 25 x 2 = 1000

volume= 1000 cubic millimeters

1000 x 0.0005 = 1

weight = 1 ounce

hope it works out !!

brainliest please !!