All categories

3 years ago

15pts and brainliest to whoever can answer

Mathematics

1 answer:

lora16 [44]3 years ago

5 0

9514 1404 393

Answer:

p = 3x+10

Step-by-step explanation:

The attached diagram pretty much explains it.

The unknown dimension at the top was the subject of a previous problem. It is the difference in length between the two marked horizontal segments:

(2x +15) -(x) = x +15 . . . . . length of unmarked solid horizontal line

Similarly, the length of the unmarked vertical line on the right is the difference between the marked vertical lines:

(2x -5) -(x -5) = x . . . . . length of unmarked solid vertical line

The formula for the area of a rectangle is used to find the areas of the left-side and right-side rectangles. Respectively, those areas are ...

left-side area = x(2x -5)

right-side area = x(x +15)

Then the total area enclosed by the solid line is ...

x(2x -5) +x(x +15) = x(2x -5 +x +15) = x(3x +10)

The area of the lot extension is the product of its dimensions:

extension area = x·p

We want this to be the same as the area in the solid line, so ...

x·p = x·(3x +10)

Dividing by the coefficient of p (which is x), we have ...

p = 3x +10

You might be interested in

A student writes the equation for a line that has a slope of -6 and passes through the point (2,-8).

Goshia [24]

Answer:

y = kx+m is the linear equation

k: the slope

m: where the line crosses the y-axis

which gives

Step-by-step explanation:

y=-6x + m

insert the coordinates in the equation

-8 = -6 * 2 + m

-8 = -12 + m

m = -8 + 12

m = 4

--> ans: y = -6x + 4

7 0

3 years ago

Read 2 more answers

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10

stira [4]

Answer:

6 weeks

Step-by-step explanation:

You need to write an equation for each.

For Andre, he has 100 dollars, and every week gets 5 dollars more. You add the 5 dollars, and Since you don't know how many weeks it has been, use a variable.

For Elena, she has 10 dollars, and gets 20 each week.

Now that you know that it has been 4 weeks, you can plug in 4 for the variable for weeks.

Andrew:100+5(4)=100+20+120

Elena: 10+20(4)=10+80=90

Andrew has more money in this time.

To find when they have the same amount, equal their expressions to each other. This means that they will have the same amount (because they are equalled) and you can solve to find the variable, which means the weeks that they are equal at.

Bring the like terms to each side by canceling them out. Since you have positive 10, then subtract 10 to each side. You have 5w, so subtract 5w to each side.

100+5w=10+20w

90+5w=20w

90=15w

90 divided by 15=6

w=6

5 0

3 years ago

The surface area of this cube is 54 square millimeters. What is the volume?

seropon [69]

Answer:

27 cubic millimeters

Step-by-step explanation:

Remember that a cube's surface area is $SA=6s^2$ where $s$ is any side length of the cube.

Hence, by solving $54=6s^2$ , we find that the side length of a cube is 3 millimeters.

This means that the volume of the cube is $V=s^3=3^3=27mm^3$

7 0

3 years ago

Someone help meee I hate my teacher she asssign nvm I’m not even gonna say

tester [92]

Answer:

eating lunch

Step-by-step explanation:

the total time is 60 minutes. 10 minutes is 1/6 of that. 1/6 of 18 (from eating lunch) is 3 minutes. eating lunch is correct. also i hate my teacher sm too

3 0

3 years ago

Read 2 more answers

-1/4n - n= -5/6<br><br> What does n equal, Please I need this done very quickly!!

amid [387]

Answer:

n = 2/3

Step-by-step explanation:

6 0

3 years ago