In the xy-plane, the point (p,r) lies on the line with equation y=x+b, where b is a constant. The point with coordinates (2p,5r) lies on the line with equation y=2x+b. If p≠0, what is the value of r/p?

A)
2/5

B)
3/4

C)
4/3

D)
5/2

Answers

Answer 1

Answer:

hi

Step-by-step explanation:

I'm anmol kulkar from India thanks for free points by

Answer 2

Answer:

The correct answer is B,

3/4.

Step-by-step explanation:

choices A and D, you may have incorrectly formed your answer out of the coefficients in the point (2p,5r). If you picked Choice C, you may have confused r and p.

y=2x+b gives:

5r=2(2p)+b

5r=4p+b

b = 5r−4p.

Next, we can set the two equations equal to b equal to each other and simplify:

b=r−p=5r−4p

3p=4r

Finally, to find

r/p

divide both sides of the equation by p and by 4:

3p=4r

3=4r/p

3/4=r/p


Related Questions

Joaquin lives 0.4 mile from Keith. Layla lives 0.3 as far from Keith as Joaquin.

How far does Layla live from Keith? Enter an equation to solve.

Answers

from Keith as Joaquin.

solve.

is the surface area of the octahedron?
10.4 cm
12 cm
12 cm
12 cm
X
+

Answers

the answer is 576 2 cm

Step-by-step explanation:

hope i helped

Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14

Answers

Answer:

x=1

Step-by-step explanation:

-3x=-3

A company ships its drink mix in a box in the shape of a rectangular prism. The base of the
prism is a rectangle with a length of 4 meters and a width of 1.5 meters. The height of the
container is 2.5 meters. What is the volume of the box in cubic meters?

Answers

Answer:

6 cubic meters

Step-by-step explanation:

(-11/6) + m= -2/9


SOLVE FOR M

Answers

Answer:

29/18

Step-by-step explanation:

Add -11/6 to both sides of the equation

m=-2/9+11/6 = -4/18+33/18=29/18

Can anybody help with this?

Answers

Answer:

12

Step-by-step explanation:

Because < this means less than. So therefore 5 is less than 12

Samantha purchased dinner at a restaurant and spent $38 on food and beverages. Her sales tax was 7%. How much will Samantha pay for sales tax in dollars and cents?

Answers

Given:

Samantha purchased dinner at a restaurant and spent $38 on food and beverages.

Rate of sales tax = 7%

To find:

How much will Samantha pay for sales tax in dollars and cents?

Solution:

Amount spent on food and beverages = $38

Rate of sales tax = 7%

Sales tax = 7% of $38

[tex]\text{Sales tax}=\dfrac{7}{100}\times 38[/tex]

[tex]\text{Sales tax}=\dfrac{266}{100}[/tex]

[tex]\text{Sales tax}=2.66[/tex]

Therefore, the sales tax is $2.66.

Please help,
In a bowl of fruit, there are green grapes and black grapes in the ratio of 3:5. If there are 27 green grapes, how many black grapes are there.

Answers

Answer:

45

Step-by-step explanation:

27 DIVIDED BY 3 IS 9

SO 9 MULTIPLIED BY 5 IS 45

SO THE ANSWER IS 45

please answer I will give 20 and brainiest

Answers

I think it’s the first option

Answer:

#1

Step-by-step explanation:

-7- Go back 7 numbers from 0

6- Go foward 6 numbers from -7

-4- Go down 4 numbers from -1

-7+6=-1

Go four down from -1

(-1,-4)

Hope this helped :)

There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7in or 12in. The diameter of all 15 plates combined is 140in. Which system of equations can be used to find the number of 7in plates, x , and the number of 12in plates, y , that are in the cabinet?

Answers

Answer:

Number of 7 inch plate = 8

Number of 12 inch plate = 7

Step-by-step explanation:

There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7in or 12in. The diameter of all 15 plates combined is 140in. Which system of equations can be used to find the number of 7in plates, x , and the number of 12in plates, y , that are in the cabinet?

Given that :

Total Number of plates = 15

Diameter of each plate : 7 in or 12 in

Diameter of all 15 plates = 140 in

Let number of 7 in and 12 in diameter plates = x and y respectively ;

x + y = 15 - - (1)

7x + 12y = 140 - - - (2)

x = 15 - y

Substitute x = 15 - y in (2)

7(15 - y) + 12y = 140

105 - 7y + 12y = 140

105 + 5y = 140

5y = 140 - 105

5y = 35

y = 7

From x = 15 - y

x = 15 - 7

x = 8

Number of 7 inch plate = 8

Number of 12 inch plate = 7

Tim bought a video game console and games for $350. The video game console cost $200. Each game cost $25. How many games did Tim purchase?

Answers

Tim bought 6 games
Because 25x6=150 and he spent 200 on the console and he spent 350 total so your answer is $150

Answer:

Tim purchased 6 video games.

Step-by-step explanation:

Let's set the number of games Time purchased as x.

Due to each game costing $25, the total amount of money used on buying games would be ($25)x.

Hence, as the total amount of money used to buy both the console and the video games would be $350, the equation can be set as:

[tex]\$25x + \$200 = \$350[/tex]

[tex]\$25x = \$(350 - 200)[/tex]

[tex]x = \frac{\$150}{\$25}[/tex]

[tex]x = 6[/tex]

Therefore, Tim purchased 6 video games.

Hope this helped!

Find an
equation for the perpendicular bisector of the line segment
whose endpoints (7,9) and (-1,3).
are

Answers

Step-by-step explanation:

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

any more help just ask :)

3.2 geometry worksheet

Answers

Answer/Step-by-step explanation:

9. 17x = 16x + 5 (alternate exterior angle)

17x - 16x = 5

x = 5

Measure of bolded angle = 17x = 17 * 5 = 85

10. 21x - 6 = 20x (corresponding angels)

21x - 20x = 6

x = 6

Measure of bolded angle = 20x = 20(6) = 120

11. (x + 95) + (x + 105) = 180 (linear pair angles)

2x + 200 = 180

2x = 180 - 200

2x = -20

Divide both sides by 2

x = -10

Measure of bolded angle = x + 105 = -17 + 105 = 88°

12. 12x - 4 = 11x + 3 (vertical angles)

Collect like terms

12x - 11x = 4 + 3

x = 7

Measure of bolded angle = 11x + 3 = 77 + 3 = 80°

please please help me ​

Answers

Pick two points
(0,0) and (2,3)
(3-0)/(2-0) = 3/2 slope
Solution: y = 3/2x

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

(2,3)

Step-by-step explanation:

it is the point in which they intersect

i am in algebra two so you can trust my answer. if you need more help, lmk in the comments. happy holidays and stay safe!

Evaluate the following equation, when x=20:
x/5 + x – 10

Answers

The simplified answer is 14

Did I do something wrong? I multiplied by 1.02 six times and got a realllllly ugly decimal.


Rebecca runs a quarter-mile each week. In each of the last 6 weeks her time has improved (decreased) by 2%, and she can now run a quarter-mile in 66 seconds. What was her time six weeks ago?

Answers

Answer:

75 seconds

Step-by-step explanation:

Here, we want to get her time 6 weeks ago.

We shall have an exponential model to link this all up

The exponential model would look like;

y = I(1 - r)^n

where y is the present time

I is the initial time she started with which we are calculating

r is the rate of change which is 2% = 2/100 = 0.02

n is the week number which is 6 in this case

So we have;

66 = I(1 - 0.02)^6

66 = I(0.98)^6

I = 66/0.8858

I = 74.5 seconds

This is approximately 75 seconds

Her time 6 weeks ago is 75 seconds

What is m∠P?
(NEED URGERENT HELP!!)

Answers

Step-by-step explanation:

Sum of angles in this pentagon = 540°.

Therefore 13x + 241 = 540, x = 23

Hence Angle P = 4(23) + 2 = 94°.

The measure of angle P is 94°

What is pentagon?

"It is a polygon with five vertices and five sides."

For given example,

We know, the sum of all interior angles of a pentagon is 540°

⇒ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°

⇒ (4x + 2)° + (132)° + (4x - 10)° + (5x - 11)° + 128° = 540°

⇒ 4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540

⇒ 13x + 241 = 540

⇒ 13x = 299

⇒ x = 23

So, the measure of angle P would be,

4x + 2

= 4 (23) + 2

= 94°

Therefore, the measure of angle P is 94°

Learn more about Pentagon here:

https://brainly.com/question/10159087

#SPJ2

153-22.5=?????????????????????

Answers

Answer:

130.5

Step-by-step explanation:

Answer:

130.5

Step-by-step explanation:

if correct mark brainliest plz

The two-way table below displays information about passengers on a commercial flight.

Passenger Data


First Class
Coach
Checked Bags
10
81
Did Not Check Bags
14
57

What percentage of coach passengers did not check bags? Round to the nearest tenth.
35.2%
41.3%
70.4%
80.3%

Answers

The answer is 41.3%

The percentage of coach passengers who did not check their bags will be 43.82 %.

What is percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that the total number of passengers is, 162 of which 71 bags didn't check while 91 bags got checked.

We have to find the percentage of coach passengers who did not check their bags.

It is found by dividing the total number of passenger bags not checked by the total number of passengers.

=71 / 162 × 100

=43.82 %

Thus, the percentage of coach passengers who did not check their bags will be 43.82 %.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ6

Which descriptions from the list below accurately describe the relationship between AQRS and ATUV? Check all that apply. 284 -28 12 12 76" 176 176 1764 6 V Q A. Same sides B. Same size C. Similar D. Congruent

Answers

Answer:

All A to D

Step-by-step explanation:

The attachment completes the question

From the attachment,

it can be seen that QRS and TUV are of the same i.e. triangles

Also, from the attachment, the sides of each are:

[tex]RQ = UT = 22[/tex]

[tex]QS = TV = 30[/tex]

[tex]RS = UV = 23[/tex]

And the angles are:

[tex]\angle Q = \angle T = 50[/tex]

[tex]\angle R = \angle U = 83[/tex]

[tex]\angle S = \angle V = 47[/tex]

The above show that QRS and TUV are:

similarsame sidesand they are congruent

Please help It due today MATH!!1

Answers

Answer:

Solid line y is less than or equal to -1+4

Dashed line y is greater than or equal to 1/3

Step-by-step explanation:

PLZ MARK BRAINLIEST

Answer:

h bjwkjdfrekojfhrkeifcuhenjdc

Step-by-step explanation:

On Monday, the low temperature outside was 32 degrees above zero. On Christmas, it was 5 degrees below zero. What is the difference in the two temperatures?

Answers

Answer:

Difference in temperatures = 37 degree

Step-by-step explanation:

Given:

Temperature above zero = 32 degree

Temperature below zero = -5 degree

Find:

Difference in temperatures

Computation:

Difference in temperatures = Temperature above zero - Temperature below zero

Difference in temperatures = 32 - (-5)

Difference in temperatures = 37 degree

In ΔBCD, \text{m}\angle B = (4x-14)^{\circ}m∠B=(4x−14) ∘ , \text{m}\angle C = (x-1)^{\circ}m∠C=(x−1) ∘ , and \text{m}\angle D = (6x+8)^{\circ}m∠D=(6x+8) ∘ . What is the value of x?X?

Answers

Answer:

x = 17

Step-by-step explanation:

The sum of angle in the triangle BCD is 180 degrees

Given;

<B = 4x  -14

<C = x - 1

<D = 6x + 8

Required

Find x

Since <B + <C + <D = 180, hence;

4x - 14 + x - 1 + 6x + 8 = 180

11x -7 = 180

11x = 180+7

11x = 187

x = 187/11

x = 17

Hence the value of x is 17

Solve 20/420 and remember to add the partial quotients to find the actual quotient.

Answers

Answer:

0.0476

Step-by-step explanation:

To solve 20/420,

We first reduce the numerator and denominator to its lowest terms(we are not using long division method) :

In the fraction 20/420, we cancel out the zeros =2/42

In the fraction 2/42, 2 will divide numerator and denominator so =1/21

To find the actual quotient, we are sure to get a result of decimal number since numerator is already smaller than denominator,

Therefore 1/21= 0.0476 to 4 decimal places

Note : we add zero to the numerator till it can be divided by 21(even with a remainder) hence the "0.0" before 4

PLEASE ANSWER ASAP WILL GIVE BRAINLIEST.
A function is represented by the graph.

Complete the statement by selecting from the drop-down menu.



The y-intercept of the function ​y=−2x+8​​ is
Choose... greater than less than or equal to
the y-intercept of the function represented in the graph.

Answers

Answer:

equal to

Step-by-step explanation:

The y intercept is when x = 0.

In the function y=-2x+8, when x=0, y=8.

In the graph, when x=0, y=8. You can see on the x axis 0 is in the middle, and if you move up the y axis, you see the line intersects y=8.

Thus both have the same y intercepts of 8.

please give thanks :)

hope this helps

Answer:

equal to

Step-by-step explanation:

i took the test on k-12 and i got it correct.

Find the GCF of 74 and 154.

Answers

Answer: 2

Step-by-step explanation:

2

74:  2 37

154:  2711

GCF:2

Solve this equation: x/ 4 = 2.25

Answers

Answer:

x = 9

Step-by-step explanation:

x/4 = 2.25

9/4 = 2.25

ANSWER: IS IN 9

STEP BY STEP IS IN PICTURE:

25 points

What type of graph is best to use to compare two sets of data over time?

Answers

Answer:

Bar Graph

Step-by-step explanation:

Bar graphs are used to compare things between groups or tracks. They are the most efficient because the set data is set to change at any time

Bar graph!!!!! I’m pretty sure

Huilan's age is three times Thomas's age. The sum of their ages is 64. What is Thomas's age?

Answers

Answer:

16

Step-by-step explanation:

Answer: 16 years old

Step-by-step explanation:

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