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Answer:

PQ = 35 km

Step-by-step explanation:

Here, we want to get the length of PQ

Let PQ = x

PR is 10 km longer than PQ

PR = 10 + x

QR = 2 * PR

QR = 2(10 + x)

Adding all gives 170;

x + 10 + x + 2(10 + x) = 170

2x + 10 + 20 + 2x = 170

4x + 30 = 170

4x = 170-30

4x = 140

x = 140/4

x = 35 km

PQ = 35 km

The length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.

Length of line segment (say YX) is the distance of both the ends of it (y to x).

Towns P, Q and R are connected by roads PQ ,PR and QR.

The line segment PR is 10 km longer than PQ. Therefore,

[tex]PR=PQ+10\\PQ=PR-10[/tex]            ......1

The line segment QR is twice as long as the line segment PR. Therefore,

[tex]QR=2PR[/tex]                 .....2

The total length of three roads is 170 km. Therefore,

[tex]PQ+PR+QR=170[/tex]

Put the value of PR and QR from equation 1 and 2 in the above equation as,

[tex](PR-10)+PR+(2PR)=170\\PR-10+PR+2PR=170\\4PR=170+10\\PR=\dfrac{180}{4}\\PR=45\rm km[/tex]

As the line segment PR is 10 km longer than PQ and length of PR is 45 km. Therefore,

[tex]PR=45-10\\PR=35\rm km[/tex]

Hence, the length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.

Learn more about the line segment here;

https://brainly.com/question/2437195

Answer:

A & B

Step-by-step explanation:

Hope this helpsss

Answer:

A and B.

Step-by-step explanation:

I took this test

Answer:

a^2/3  

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

'3 less than n' = n-3

'9 is' = 9=

Answer:

C

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

it's 44 because median is alwys in between and simply look at the scale

Answer:

scale facror:

1

:

2

x = 5

Perimeter = 5+4+4+5+6 = 24

Answer:

The number of pounds that will fit in each bag is 2/3 pounds of flour

Step-by-step explanation:

Here, we want to know the amount of pounds that will fit in each bag

What we have to do here is to divide the total number of pounds of flour, by the number of bags filled

We have this as;

2 3/4 divided by 4 1/8

This is;

11/4 divided by 33/8

= 11/4 * 8/33 = 2/3 pounds

Answer:

About one year

Step-by-step explanation:

1500*0.9=1350

Answer:

c. 4p+18

Step-by-step explanation:

-7d + 2d + 3d + 2d = 0

6p-3p+p = 4p

7-11+14+8 = 18

4p+18

Answer:

slope is 4 and intercept on y-axis is -2.

Answer:

-3

Step-by-step explanation:

Let's rewrite it as an equation

3*x + 2*1 = 7*(-1)

3x + 2 = -7

3x = -9

x = -3

Answer:

450 minutes

Step-by-step explanation:

Answer:

Wouldn't you multiply 45 × 10?

Step-by-step explanation:

Because it's 45 minutes each day she practices.

Answer:8 cups

Step-by-step explanation:

here u go...........

Answer:

Step-by-step explanation:

1. C(10)=35  is the percentage of homes using only cell phone service 10 years after 2004, that is, after 2014.

2. C(x) = 10  is the percentage of homes using only cell phone service x years after 2004.  We must find x.

3. how is C(10) different from C(x) = 10?

In C(10), 10 measures time in years and is the independent variable here; C10) is the dependent variable.  See (2), above.  In C(x), x is the (unknown) independent variable, whereas 10 is the output vaue, the dependent variable.

Answer:

q^12

Step-by-step explanation:

To solve, multiply the exponents

Answer:

A: Decrease, y is 80% of x

B: Increase, y is 160%of x

Step-by-step explanation:

It sounds like it wants to know what percent Y is of X, so if y was 50% of x, that would mean y was half as much of x. so if x was 10 and y was 5

A:  x is 5 and y is 4  since y is less it is a decrease.  to find the percent do 100*y/x, so in this case that's 100*4/5 =80, so y is 80% of x.  and it makes sense it is less than 100% since x is less than y

B: x=5 and y=8  y is greater than x so it is an increase and will be more than 100%.  100*8/5 = 160 so y is 160% of x

Answer:

12,111

Step-by-step explanation:

Answer:

b=9 and b=-21

Step-by-step explanation:

first step: move 195 to the other side by adding to get:

b^2+12b=189

now to find the constant you take the b value which is 12 divide that by 2 and square it. then add the product to both sides. 12/2=6, 6^2=36

b^2+12b+36=189+36

next factor b^2+12b+36.

(b+6)^2=225

square root both sides to get:

b+6=15 and b+6=-15

solve by subracting 6 to both sides and you get the 2 final answers.

b=9 and b=-21

Answer:

9 and 4/5

Step-by-step explanation:

Answer:

There are many ways you can write this as an equation:

[tex]d=p-20 %[/tex]%

[tex]d=.8p[/tex]

[tex]d=p-.2p[/tex]

Answer: It's a B answer.

Show your work here:

In an ordered pair the first coordinate is x the coordinate, and the second coordinate corresponds to the y coordinate.

Then we must substitute the given value of x in the equation and verify that we get in return the defined value for y.

the options are (-2,4)

in this one x=-2, and y=4, so let's confirm:

y=-3x-4

y=-3(-2)-4

y=-6-4

y=2

this is not a solution since the y values are not the same.

in this one x=-3 and y=5, let's also confirm:

y=-3(-3)-4

y=9-4

y=5

in this one the values for y are equal, this is a solution for the equation.

so give me a brainlest!

Answer:

subtract to elimanate x.

Step-by-step explanation:

Brainliest pls??