bob wants to build a doghouse that is 2 feet longer than it is wide. he's building it on a concrete slab that will leave 2 feet of concrete slab visible on each side. if the area of the doghouse is 48 square feet, what are the dimensions of the concrete slab​

Answers

Answer 1

Answer:

10 ft by 12 ft

Step-by-step explanation:

This problem requires you to first write an equation to represent the situation. Here we will represent the shorter side of the doghouse with the variable x, the longer side will be represented with x+2 because it is 2 feet longer.

48 = x * (x+2)

This represents the area of the doghouse as the product of the width and length of the doghouse.

48 = x^2 + 2x

Now, we need to move all the items onto one side of the equals sign, it is best to have the x^2 be positive.

0 = x^2 + 2x - 48

Now, we factor to find what x equals.

0 = (x-6) * (x+8)

From here, we can use each of the terms in parentheses to solve for x.

0 = x-6

x = 6

0 = x+8

0 = -8

Here we know that the shorter side has to be 6 ft because length is a positive number, and we can determine that the longer side is 8 ft because it is 2 ft longer. The dimensions of the slab are therefore 10 ft by 12 ft because the slab is 2 ft on each side, therefore adding an extra 4ft to the dimensions because the 2ft is added on each side.


Related Questions

Write an equation for the line in slope-intercept
form.
(Use integers or fractions for any numbers in the
equation.)

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

Find the slope using two points on the line, say, (0, 5) and (-3, -4):

Slope (m) = ∆y / ∆x = (-4 - 5) / (-3 - 0) = -9/-3

m = 3

Find y-intercept (b):

y-intercept (b) is the value of y when x = 0. At this point, the line intercepts the y-axis.

When x = 0, y = 5

y-intercept (b) = 5

Write the equation by substituting m = 3 and b = 5 into y = mx + b

Thus:

y = 3x + 5

length of a rectangle is 8cm increased by 150%.calculate the new lenght​

Answers

Answer:

l=8

l'=8×150/100=12cm

increase in l=8+12=20cm

Answer:

20cm

Step-by-step explanation:

100%->8cm

250%->20cm

Compare 3/5 to 4/9. Is it equal, greater than or less than?

Answers

3/5 x9 for both then its equal to 27/45
4/9 x5 both then its equal to 20/45
Them 3/5 is greater

Answer:

3/4 > 4/9

Step-by-step explanation:

because 3/5 = 0.64/9 = 0.44

0.6 > 0.44

MARK ME AS BRAINLIST

Resuelve las adicciones y sustracciones:
[tex] ( + \frac{3}{5}) - ( + \frac{10}{5}) + ( + \frac{9}{5}) - ( - \frac{3}{5} ) = [/tex]

Answers

The answer is 1. Keep track of your signs and add or subtract according to the sign

Please I need help. Quick please.

Answers

Answer:

I think it's c. 1/12 Sorry if I am wrong

Answer:

I think its "D" ... Reaaly sorry if i am  wrong..

Step-by-step explanation:

4/ 12 months is y

4/12 = 1/3

2 kids :

1/3 divide by 2

1/3 x 1/2 = 1/6

I am really sorry if i am wrong!

help me please! i will give brainliest! and 50 points

Answers

Answer: 2.8

Step-by-step explanation:

The Quadrilateral ABCD is just being rotated and nothing else, so the length of the segments don't change.

so whatever value for CD is also the the value for C'D' which is 2.8

biked 4 ½ miles today, and biked 6 ¾ miles. How many times further did bike compared to ’ ride? SHOW YOUR WORK.

Answers

Answer: 2 1/4

Step-by-step explanation: first off change the 1/2 to 2/4. then subtract 6 3/4 to 4 2/4. which gives you 2 1/4

The unsimplified fraction is 54/36 which is equivalent to 1 18/36 or 1 1/2

Which inequality is represented by the number line graph?

Answers

Answer:

x ≥ -3

Step-by-step explanation:

The shaded circle means it is equal to as well.

The sum of two consecutive numbers is -119. Find the value of the smaller number.

Answers

Answer:

59

Step-by-step explanation:

Do it in my head.

59 +60 = 119

Compare mean, median, mode, and standard deviation.

Answers

Answer:

The mean, median and mode are all estimates of where the "middle" of a set of data is. These values are useful when creating groups or bins to organize larger sets of data. The standard deviation is the average distance between the actual data and the mean.

Step-by-step explanation:

Please Mark Brainliest!

Last​ night, 5 friends went out to dinner at a restaurant. They split the bill evenly. Each friend paid ​$11.50. If B represents the total bill in​ dollars, what equation could you use to find the value of​ B?

Answers

Answer:

B=11.5x5

Step-by-step explanation:

5 people pay $11.50 to get a total of B.

To get the total bill, 11.5x5=57.5

B=57.5

The total cost of the bill is $57.50.

plz help me really fast

Answers

Answer:

$38.16

Step-by-step explanation:

8% of $48 is $3.84 so we subtract $48-$3.84=$44.16. Because of the coupon we then remove $6. $44.16-$6=$38.16

Answer:

$38.16

Step-by-step explanation:

A quadrilateral has two angles that measure 70 and 60. The other two angles are in a ratio of 4:19 what are the measures of those two angles.

Answers

Answer:

We can obtain the answer from the Angle sum property of a quadrilateral.

Angle sum property of a quadrilateral =360 degrees.

So, 70+60+4x+19x=360 degrees

130+23x=360degrees

23x=360-130,230

23x= 230 divided by 23, 10

X=10

Angles are:-

4x=4*10=40

19x=19*10=190

Choose the equation that has m=5 as the solution.

Answers

Answer:

10 + m = 15

Step-by-step explanation:

m = 5

A square prism measuring 4 miles along each edge of the base and 2 miles tall.
Find the volume

Answers

Answer:

V = 32

Step-by-step explanation:

V = b^2(h)

V= (4)^2 (2)

V = 32

What is the interquartile range of the lengths of the bananas

Answers

Answer:

”it’s the not giving enough information to answer the question fa me”:)

What are you talking about

But here’s an example...

express the area of the entire rectangle ​

Answers

Answer:

x^2+9x+20

Step-by-step explanation:

(x + 4) × (x + 5)

x^2+9x+20

written assignment: answer these questions. 30 points for correct answer. hagd (may or may not do brainliest)

How can data be represented in a scatter plot?
How can I use scatter plots to analyze two sets of data?
How can I determine the line of best fit, and how will this help me to make predictions?
How can I assess the accuracy of my line of best fit?

Answers

Answer:

1. Scatter plots are used to observe relationships between variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point.

2. A Scatter Analysis is used when you need to compare two data sets against each other to see if there is a relationship. Scatter plots are a way of visualizing the relationship; by plotting the data points you get a scattering of points on a graph

Step-by-step explanation:

I am leaving the last two for someone else to have a chance to answer.

I hope my answers helped.

Answer:

Person above me is 100 percent right and they explained it well.

Step-by-step explanation:

Please give them the Brainliest

-16+56=(X)×3.find ×?

Answers

Answer:

40/3

Step-by-step explanation:

If this answer helped you then please consider liking this and marking it as brainliest :)

Julie wants to show that a quadrilateral with vertices J(2, 3), K(2,7), L(-2,7), M(-2,3) is a square. Using the distance formula, what should she find the length of each side to be?

Answers

Answer: 4

Step-by-step explanation:

GIVING BRAINLIEST!! ANSWER FAST FAST FAST ITS DUE IN 2 HOURSSS

Answers

Answer: The answer is C

4²×4⁴ i need help ASAP​

Answers

Equals 4^6
You add up the exponents as the base is same

sonic or Kirby, who is better?

Answers

Answer:

Personaly i would say kirby. but zelda is better than any other game series

Step-by-step explanation:

My Answer: B O T H .

Reason:

They're both my childhood

Jeff is selling hamburgers and pizza at the tailgate party. The cost of 4
hamburgers and 2 slices of pizza is $15. The cost of 6 hamburgers and 6
slices of pizza is $27. The system of equations below represents the
situation: 4h + 2p = 15; 6h + 6p = 27. If a customer bought 1 hamburger and
2 slices of pizza, how much would they spend?

Answers

Answer:

Step-by-step explanation

Answer - its not 7. 50  it 6.00  

Step-by-step explanation:

i just solved it, believe me its 6.00

The table below shows that the number of miles driven by Ellie is directly
proportional to the number of gallons she used.
Gallons Used Miles Driven
9 228.6
42 1066.8
46 1168.4

How many miles can she travel on 22.8 gallons of gas?

Answers

she can travel 579.12 miles
She can travel 572.12 miles :)

Quadrilateral ABCD with vertices A(-4, 1), B(-2, 3),C(0, -2), and D(-5, -2): k = 3

Answers

Answer:

A(-12,3)

B(-6,9)

C(0,-6)

D(-15,-6)

Step-by-step explanation:

So this is called dilations and i'm fairly new at it but how it works is you multiply the starting points by what k equals so that's how you get the answer.

Use the distributive property to find two expressions that are equivalent to 73x = 4).​

Answers

Answer:

this is the answer to your question x=73/4; 4/73=1/x

The bakery made 89 donut. Seventeen were chocolate, 23 were maple, and the rest were plaint glazed. How many plain donuts did the bakery make ?

Answers

Answer:

59 plain donuts

Step-by-step explanation:

17 chocolate+23 maple=40 in total

89-40=59

59 plain donuts

PLEASE HELP!!! It would be greatly appreciated

Answers

a^2 + b^2 = c^2 then add the bottom bits to get x=10

Help i cannot do this
.................

Answers

Answer:

3.35

Step-by-step explanation:

look at the picture

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