A building in a city has a rectangular base. The length of the base measures 70 ft less than twice the width. The perimeter of this base is 820 ft. What are the dimensions of the base?

Answers

Answer 1

Answer:

160 ft, 250ft

Step-by-step explanation:

Rectangular base:

Width = w

length =2w - 70

Perimeter = 820 ft

2*(length + width) = 820

2*(2w - 70 + w ) = 820

2 *(2w + w - 70) = 820     {Combine like terms}

2* (3w - 70) = 820

3w*2 - 70*2 = 820

6w - 140  = 820    

6w  = 820 + 140     {Add 140 to both side}

6w = 960     {Divide both sides by 6}

w = 960/6

w = 160 ft

length = 2*160 - 70

          = 320 - 70

          = 250 ft


Related Questions

Which story problem COULD not be solved with a expression 3 1/2 x 1/3

Answers

Answer:

C

Step-by-step explanation:

Instead of how much she should've had left it should've asked how much did she use.

What value of x makes this equation true?
12x - 15 = 6 - 36

Answers

The answer is 3.75

12x - 15= 6-36
12x= 15+30
X=45/12
X=3.75

12(3.75) - 15 = 6-36
30=30

Please please help. It’s due at 11:59. I don’t understand

Answers

Answer:

Step-by-step explanation:

FYI,

C ∪ D = ( - ∞ , 2 ) ∪ [ 6 , ∞ )

C ∩ D = ∅

Find the surface area.

Answers

Answer:

do you want to me to find it for all or just 1

Answer:

88 [tex]m^{2}[/tex]

Step-by-step explanation:

The surface are is the total area of all the faces

Opposite faces have the same area

Label each side either l, h or w

SA of a cuboid = 2lw + 2lh + 2hw

(2 x 4 x 6) + (2 x 4 x 2) + (2 x 6 x 2) = 8

Write the inequality for the description. Use x as your variable.
Mary has at least 14 pairs of shoes in her closet.​

Answers

Answer:

x≤14

Step-by-step explanation:

≤ = greater than/equal to(at least)

Help Please my we dobnt know

Answers

Answer:

its B

Step-by-step explanation:

Answer:

Its the 3rd one.

Also can I have brain list

Step-by-step explanation:

Which NCAA college basketball conference has the higher probability of having a team play in a college basketball's national championship game? Over the last 20 years, the Atlantic Coast Conference (ACC) ranks first by having a team in the championship game 10 times. The Southeastern Conference (SEC) ranks second by having a team in the championship game 8 times. However, both conferences have had teams in the championship game only one time, when Arkansas (SEC) beat Duke (ACC) 76–70 in 1994 (NCAA website, April 2009). Use these data to estimate the following probabilities.

a. What is the probability the ACC will have a team in the championship game?
b. What is the probability the SEC will have team in the championship game?
c. What is the probability the ACC and SEC will both have teams in the championship game?
d. What is the probability at least one team from these two conferences will be in the championship game? That is, what is the probability a team from the ACC or SEC will play in the championship game?
e. What is the probability that the championship game will not a have team from one of these two conferences?

Answers

Answer:

A)P(ACC has a team in the championship game) = 0.5

B)P(SEC has a team in the championship game) = 0.4

C)P(both ACC & SEC having teams in the championship games) = 0.05

D)P(ACC or SEC) = 0.85

E)P(not ACC or SEC) = 0.15

Step-by-step explanation:

A) We are told that in the last 20 years, ACC has had a team in the championship game for 10 times.

Thus;

P(ACC has a team in the championship game) = 10/20 = 0.5

B) SEC has a team in the championship game 8 times in the last 20 years;

Thus;

P(SEC has a team in the championship game) = 8/20 = 0.4

C) since both ACC and SEC have had teams in the championship game for the past 20 years, then;

P(both ACC & SEC having teams in the championship games) = 1/20 = 0.05

D) Addition rule of probability is that;

P(A or B) = P(A) + P(B) - P(A & B)

Applying it to this question, we have;

P(ACC or SEC) = P(ACC) + P(SEC) - P(ACC & SEC)

Plugging in the relevant values, we have;

P(ACC or SEC) = 0.5 + 0.4 - 0.05

P(ACC or SEC) = 0.85

E) from complement rule, we can find the probability that the championship game will not a have team from one of these two conferences.

Thus;

P(ACC not SEC) = 1 - P(ACC or SEC)

P(ACC not SEC) = 1 - 0.85

P(ACC not SEC) = 0.15

D is greater than E and less than C.
C and D are opposites.
At least one number is greater than A.

HELP

Answers

Answer:

?

Step-by-step explanation:

7. carmen estimates that deductions from his gross pay will be 25%. assuming the weekly gross pay is $229.22, carmen can expect the weekly paycheck to be $_________.​

Answers

Amount of deduction

25% of 229.22229.22/4$57.3

Net pay check

229.22-57.3$171.92

Answer:

$171.92

Step-by-step explanation:

Given information:

Weekly gross pay = $229.22

Gross pay is the pay received before any deductions are taken.

Therefore, if 25% of deductions are taken from the given gross pay, the net pay will be 75%, since 100% - 25% = 75%.

Therefore, to calculate the expected weekly paycheck, find 75% of the gross weekly pay:

  75% of $229.22

= 0.75 × 229.22

= 171.915

= $171.92

The length of a rectangle is 3m less than twice the width, and the area of the rectangle is 65m^2 . Find the dimensions of the rectangle.

Answers

W

L=2w-3

Area=(L×w)

65=[(2w-3)×w]

65 =(2w²-3w)

65=2w²-3w

2w²-3w-65=0

by using the quadratic equation

you'll get 2 values in which one will be negative

Obviously a length can't be negative so you take the positive.

w=6.5m

L=2(6.5)-3

=10m

Simplify 2a + 14 - 5a - 7 + 8a​

Answers

Step-by-step explanation:

2a -5a +8a.

2a +8a -5a

10a -5a = 5a

14-7=7

Answer=5a+7

HEY
so you need to collect like terms so

2a-5a+8a= 5a

5a+14-7

Then 14-7=7

The answer is

5a+7

Which product is greater than 63

Answers

3/2 x 63 is greater

Answer:

3/2 times 63

Step-by-step explanation: took quiz

If the wholesale price of an item is $250 and the markup is 20%, find the retail price of the item. Please explain. Thank you.

Answers

20% of $250 is $50
So $300

Answer: 300

Step-by-step explanation:

20% of $250 is $50

So $300

please help me with this :D

Answers

The answer is c perpendicular bisector:)

Solve each equation by completing the square :

Answers

From one person who can’t do math to another, dowload the app called Photomath, it helps so much

9=7+a a+8=b+5 value of b

Answers

B is 5, you can solve this by first finding the value of a, which is 2, and then plug it into the other equation. 8+2=10 so we must also make the other side 10. We then do 10-5=5, 5 is the value of b

Max used a base ten blocks to solve the division problem 9.15 divided by 3.
Which set of blocks shows the quotient for 9.15 divided by3?
A. 3 Ones,5 Tenths,0 Hundredths
B. 5 ones, 0 tenths, 3 hundredths
C. 0 ones, 3 tenths, hundredths
D 3 ones, 0 tenths, 5 hundredths

Answers

Answer:

D 3 ones, 0 tenths, 5 hundredths

Step-by-step explanation:

9.15 divided by 3.

915/3 = 305

Then, moving the decimal point two units to the left, we have 3.05.

The last number before the decimal point is called ones, which means that we have 3 ones.

The first number after the decimal point is called tenths, which means that we have 0 tenths.

The second number after the decimal point is called hundredths, which means that we have 5 hundredths.

The correct answer is given by option D.

ITS DUE TODAY PLS HELP

The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square inches
The volume of the ball is approximately
cubic Inches

Answers

Answer:

i. The surface area of the ball is approximately 28.0 square inches.

ii. The volume of the ball is approximately 14.0 cubic inches.

Step-by-step explanation:

The ball has the shape of a sphere, so that;

C = 2[tex]\pi[/tex]r

9.4 = 2 x [tex]\frac{22}{7}[/tex] x r

65.8 = 44r

r = [tex]\frac{65.8}{44}[/tex]

r = 1.50 inches

The radius of the ball is 1.50 inches.

i. Surface area of a sphere = 4[tex]\pi[/tex][tex]r^{2}[/tex]

So that,

surface area of the ball = 4 x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{2}[/tex]

                                             = 28.2857

The surface area of the ball is approximately 28.0 square inches.

ii. Volume of the ball = Volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

Volume of the ball =  [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]

                               = 14.1429

The volume of the ball is approximately 14.0 cubic inches.

There are 24 students in Bianca’s GED class. 18 of the students passed the GED On their first try. Which percent of students passed the first time?

Answers

Answer:

75%

Step-by-step explanation:

18 divided by 24 equals .75 and that equals 75 as a percent.

Plsss help mehh this is urgent

Find the length of segment WX.
6
15
25
10

Answers

Answer:

10

Step-by-step explanation:

15 / 6 = 2.5

25 ÷ 2.5 = 10

What is the slope of a line that is perpendicular to the line whose equation is y=45x−3
y
=
4
5
x

3
?

Answers

The slope of y=45-3 would be m=45

100 Points for this
This series of transformations is performed on a quadrilateral:
a dilation by a factor of 4 with the origin as the center of dilation
a reflection across the y-axis
a 90° counterclockwise rotation about the origin
a translation 3 units down
Arrange the functions representing these transformations in the order in which the transformations occur.
(The tiles are)
f(x, y) = (-4x, 4y)
g(x, y) = (4x, -4y)
h(x, y) = (4x, 4y)
i(x, y) = (4y, 4x − 3)
j(x, y) = (4y, 4x)
k(x, y) = (-4y, -4x)
l(x, y) = (-4y, -4x − 3)

Answers

Answer:

l(x,y) = (-4y, -4x - 3)

Step-by-step explanation:

Let's start with function (x, y)

Transformations in the given order result in following

A dilation by a factor of 4 with the origin as the center of dilation

This results in both coordinates multiplied by 4(x, y) → (4x, 4y)

A reflection across the y-axis

This results in x-coordinate changing sign to opposite(4x, 4y) → (-4x, 4y)

A 90° counterclockwise rotation about the origin

This results in x-coordinate swapping with negative y-coordinate (-4x, 4y) → (-4y, -4x)

A translation 3 units down

This results in y-coordinate change by -3(-4y, -4x) → (-4y, 4x - 3)

The final function is:

l(x) = (-4y, -4x - 3)

Answer:

l(x) = (-4y, -4x - 3)

I got the same answer as Mhanifa and if you want the explanation check his, because mine sucks :(

Find in the missing values to make the equations true.

Answers

Answer: 21

12

Log8(8 is under the log) the answer is 7

Step-by-step explanation:

Microsoft wants to administer a satisfaction survey to its current customers. Using their customer​ database, the company randomly selects 50 customers and asks them about their level of satisfaction with the company. What type of sampling is​ used? A. Systematic B. Convenience C. Simple random D. Cluster E. Stratified

Answers

Answer:

Simple random

Step-by-step explanation:

There are various methods which may be employed when we intend to select a certain few from a larger group of subjects. The simple random sampling may be described as the most basic form of random sampling whereby a smaller group or subset is chosen from the larger population entirely by chance (each subject or member of the population has equal chances of being selected). A simple random sampling, the larger group isn't partitioned or subdivided prior to selection, the subsets are just selected as they are. In the scenario above, the database is the population and the 50 samples are selected directly from the database without splitting or prior partioning of the population data.

What inequality is represented by this graph? 1 7 9 OXSA Xc6​

Answers

Answer:

OMG OMG OMG OMGOOOOOOOOOOO THANKS FOR 50 POINTS

The ratio of girls to boys in a boarding school is 2:7,if there are 1251 student in the school, how many of the student are girls​

Answers

278 students are girls in this case.

Answer with explanation is given ......

Each month, 8 magazines arrive at Sydney's home. Write an equation that would show the number of motnths (n) it took for Sydney to receive 56 magazines.
btw this is multiple choice so this is the choices
A. 56n=8
B.n+8=56
C.8n=56
D.56-n=8
help me asap​

Answers

C.
Since 8 magazines are areiving each month (n) and the total is 56, all you have to do is multiply 8 by n and you get 56, the actual answer would be 7 though.

Answer:

C.8n=56

Step-by-step explanation:

What is the slope between (-4, 0) and (0, 2)?

Answers

Answer:0.5

Step-by-step explanation: y = 0.5x + 2

The angles in a triangle are in the ratio 1 : 2 : 3. Find the size of each angle in the triangle.

Answers

Answer:

30°,60°,90°

Step-by-step explanation:

All angles in a triangle added up make 180°. Add all numbers in the ratio and divide 180° by it. 180°÷6=30 so 1 in the ratio expression is equal to 30°. Because we know this, we can multiply each number in the ratio by 30° to get the answer above

Can someone help me with this?

Answers

9514 1404 393

Answer:

  π/4, 7π/4

Step-by-step explanation:

Adding √2 and dividing by 2 makes the equation ...

  cos(θ) = (√2)/2

The first-quadrant solution is ...

  θ = arccos((√2)/2) = π/4

The angle in the 4th quadrant with the same reference angle will have the same cosine value.

  θ = 2π -π/4 = 7π/4

The two solutions are θ = π/4, 7π/4.

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