Given: m∠PRS = 2x + 12
m∠SRT = 6x + 8
∠PRS and ∠SRT are a linear pair

Prove: m∠PRS = 52

-make sure to include statements and reasonings like it shows in the screenshot

Answer:

x = 8

y = 5

Step-by-step explanation:

Let

x and y = the two positive numbers

a. 3x + 2y = 34 (1)

b. 1/2x + 2y = 14 (2)

Solve the simultaneous equation

3x + 2y = 34 (1)

1/2x + 2y = 14 (2)

Subtract (2) from (1)

3x - 1/2x = 34 - 14

6x-x/2 = 20

5/2x = 20

x = 20 ÷ 5/2

= 20 × 2/5

= 40/5

= 8

x = 8

Substitute x = 8 into (1)

3x + 2y = 34 (1)

3(8) + 2y = 34

24 + 2y = 34

2y = 34 - 24

2y = 10

y = 10 / 2

= 5

y = 5

Diego's two numbers are 8 and 5 respectively

Answer:

x = no.of months

y = cost

f(12) = 30x+75

f(12) = 30(12)+75

f(12) = 360+75

f(12) = 435

Therefore it cost him $435 in 12 months.

It will cost him $435 in 12 months or the value of f(12) is $435.

It is given that cost of gym membership is $75 plus $30 per month and the equation representing it is y = 30x + 75.

We have to find the value of f(12) or cost of gym after 12 months.

What do you mean by domain and ranges of a function ?

The domain is set of all values for which the function is defined and the range of the function is set of all values that function takes.

As per the question ;

The cost of gym membership is $75 plus $30 per month.

and

The given equation is ;

y = 30 x + 75

where ;

x = no. of months

and

y = cost

So , we can find out the value of f(12) as ; y = f(x) = f(12)

⇒ f(12) = 30x + 75

⇒ f(12) =( 30 × 12 ) + 75

⇒ f(12) = 360 + 75

⇒ f(12) = 435

Thus , it will cost him $435 in 12 months or the value of f(12) is $435.

To learn more about functions click here ;

https://brainly.com/question/23104523

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Answer:

I got 27 as an answer

Step-by-step explanation:

Answer:

I hope this may help you ...

Answer:

I'm sorry, I speak Spanish, forgive me

Answer:

I have no clue

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 45 \ Joules}}[/tex]

Step-by-step explanation:

Work can be found by multiplying the force by the distance traveled in the direction of the force.

[tex]W=F*d[/tex]

The force is 45 Newtons.

The distance traveled is 1 meter.

[tex]F=45 \ N \\d= 1 \ m[/tex]

Substitute the values into the formula.

[tex]W=45 \ N * 1 \ m[/tex]

Multiply.

[tex]W=45 \ N*m[/tex]

1 Newton meter is equal to 1 Joules.

Therefore our answer of 45 Newton meters is equal to 45 Joules.

[tex]W= 45 \ J[/tex]

The work done is 45 Joules.

Step-by-step explanation:

[tex]\sf Required\:Answer\begin{cases} \sf Force_(f)=45N \\ \sf Distance_(d)=1m \\ \sf As\:we\:know\:that \\ {\boxed{\sf Work_(w)=Force_(f)\times Distance_(d)}} \\ \sf W=45 \times 1Nm \\ \sf =45Nm \\ \longrightarrow {\underline{\boxed{\bf W=45Joule}}}\end {array}[/tex]

Answer:

No

Step-by-step explanation:

Given that:

Plastic sleeves needed = 250

Number of baseball cards = 3084

Sleeves held per card = 12

To determine the number of sleeves needed ;

Number of baseball cards / number of sleeves per card

= 3084 / 12

= 257

No, I do not agree with Roberts, from the calculation above, the number of plastic sleeves needed is 257

Answer:

4 cups of apple juice for 1 cup of carrot juice

Step-by-step explanation:

Answer:

38.72%

Step-by-step explanation:

Estimated attendance = 1,000

The actual value of attendance = 1,632

We need to find the percent error of Shaun's estimate. Using the formula as follows :

[tex]\%=\dfrac{|\text{actual value-estimated value}|}{\text{actual value}}\times 100[/tex]

Put all the values,

[tex]\%=\dfrac{1632-1000}{1632}\times 100\\\\=38.72\%[/tex]

So, the percent error of Shaun's estimate is 38.72%.

Step-by-step explanation:

3x + 8y = -40

8y = -40 - 3x

y = -5 - 3/8x

y = -3/8x - 5

Equation that represents a line which is parallel to y = -3/8x - 5 can be any equation as long as it's y = -3/8x + c, as in c can be any value as long as the other parts of the equation is not changed

Answer:

-8

Step-by-step explanation:

12<-3 (x + 4)

1. distribute to the -3 to the x and 4 and should get

-3*x = -3x

-3*4 = -12

12< -3x - 12

2. now you get rid of the common factors which is -12 so add 12 to both sides and should get

-12+12=0

12+12=24

24< -3x

3. to get x by itself you will have to get rid of -3, so how to do that is divide -3 to both side and should get

-3x/-3= x

24/-3= -8

-8<x

Note: Consider we need to find the constant of proportionality.

Given:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

It costs $27 to rent the kayak for 5 hours.

To find:

The constant of proportionality.

Solution:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.

[tex]27=k(5)[/tex]

Divide both sides by 5.

[tex]\dfrac{27}{5}=k[/tex]

Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].

Answer:

735x0.01

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Supplementary angles sum to 180°

If one angle is 77°, then the other angle is

180° - 77° = 103° → B

I would have to say B

Answer: 5/2

Step-by-step explanation:

Answer:

22.80

Step-by-step explanation:

100% - 30% = 70% that you'll be paying

70% = [tex]\frac{70}{100}[/tex]  = 0.7

0.7 * 32.50 = 22.75

Round to nearest cent: 22.8

Answer:

ewanjehehehehejejejjejshs

Answer:

374x

brrrrrrrrrrrrruhhhhhhhhhhhhhh

Answer:

374x

Step-by-step explanation:

Just add 32 and 342 together

32 + 342

374

Then add the x back on

374x

Hope this helped :)

Answer:

is there a diagram

Step-by-step explanation:

Answer:

1 4/5

Step-by-step explanation:

4/5 + 1 = 1 4/5

I hope this helped, please mark Brainliest, thank you so much!!

Answer:

2x-y=-10

Step-by-step explanation:

I'm assuming by standard form you mean

Ax+By=C

Ax⇒2x

By⇒-y

C=-10

2x-y=-10

Answer:

solve the second equation for x

Answer:

64.8g

Step-by-step explanation:

First you would divide 40.5 by five which would equal 8.1 ; 8.1 resembles 8.1g of sugar per cake. So, 8.1 times 8 cakes would be 64.8g of sugar needed for 8 cakes.

Answer:Julios​'s ​number is 31

suppose: Julios​'s ​number is x

because Julio ​says, "If you subtract 13 from my number and multiply the difference by -3​, the result is -54 ​"

=> we have: (x - 13).(-3) = -54

                 <=>  x  - 13 = (-54):(-3) = 18

                   <=> x = 18 + 13 = 31

                   <=> x = 31

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

Brand A:

so x is equal to 0.24

Brand B:

so x is equal to 0.28

Now the difference of cost would be Brand B - Brand A which would give you 0.04.

Answer:

There isn't a picture

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

0

.

3

−

2

.

4

=

1

.

2

5

0.3x-2.4=1.25x

0.3x−2.4=1.25x

3

1

0

−

2

.

4

=

1

.

2

5

Answer:

x = -2.52631578

Step-by-step explanation:

Combine multiplied terms into a single fraction.

0.3x - 2.4 = 12.5x

3x/10 - 2.4= 1.25x

Again, combine multiplied terms into a single fraction.

3x/10 - 2.4= 1.25x

3x/10 - 2.4 = 5x/4

Add 2.4  to both sides of the equation

3x/10 - 2.4 = 5x/4

3x/10 - 2.4 + 2.4 = 5x/4 + 2.4

Simplify (Add the numbers)

3x/10 = 5x/4  + 2.4

Multiply all terms by the same value to eliminate fraction denominators.

3x/10 = 5x/4  + 2.4

2  x 2 x 5 x 3x/10 = 2 x 2 x 5(5x/4 +2.4)

Therefor, x = 2.52631578

Hope this helps, have a great day! :)