Mr. Webster is buying carpet for an exercise room in his basement. The room will have an area of 230 square feet. The width of the room with have 12&1/2 feet. What is the length?

PLEASE DO NOT JUST GIVE THE ANSWER, (I could have done that myself) PLEASE SHOW WORK ON HOW YOU GOT THE ANSWER.

Thanks!

Answers

Answer 1

Answer: 18.4 ft

Step-by-step explanation:

Area= L x W

230= 12.5 x L (Divide both sides by 12.5 to get L)

L= 18.4 ft

Answer 2

Answer:

The length of the room is 18 2/5 feet.

Step-by-step explanation:

The formula for finding the area of rectangles is A = l · w

Since the area and width is given to you, we can substitute that in the formula:

230 = l · 12 1/2

Now we convert the 12 1/2 to an improper fraction so it is easier to solve.

Here's how you convert a mixed number to an improper fraction:

12 · 2 = 24

24 + 1 = 25

and put 25 over the original denominator

     = 25/2

Now you can add that to the equation...

l · 25/2 = 230 (I put 230 on the right side because that is how I am used to solving equations, but you can leave it on the right side as well. It is up to you)

To get rid of fractions, multiply by the reciprocal (Basically you flip the fraction so that the numerator becomes the denominator and the denominator becomes the numerator) on both sides

25/2 · 2/25 cancels itself out

   and

230/1 · 2/25...

   230 · 2 = 460

   1  · 25 = 25

So you would get 460/25

Thus, we end up with:

l = 460/25

Divide 460 by 25 and you get 18.4...

Technically 18.4 is the answer but in decimal form.

If you want it in fraction form, just take 0.4 and put it over 10 because 0.4 is in the tenths place. 4/10 simplifies down to 2/5...

Therefore, the answer is 18 2/5 feet.

I hope this is helpful! Let me know if you have any further questions :D


Related Questions

B
A
How many degrees must
Figure A be rotated
counterclockwise around
the origin in order to line
up with Figure B?
A. 90
B. 180
C. 270
D. 360

Answers

Answer:

A 90 degrees because the triangle is at a right angle and to rotate it counter clockwise

The answer is letter B. 180

Simplify the expression (3 − 4)(6 + 7) − (2 − 3). show your work

Answers

Answer:

-12

Step-by-step explanation:

[tex]=-1\cdot \left(6+7\right)-\left(2-3\right)\\=-1\cdot \:13-\left(2-3\right)\\=-13-\left(-1\right)\\=-12[/tex]

Write an equation of a line in point-slope form with the
information given.
1. passes through: (6, 0); slope: - 1/6

Answers

Answer: (y − 0) = -(1/6)(x − 6)  or y=-(1/6)(x-6)

Step-by-step explanation:

An equation in Point Slope form:  y − y1 = m(x − x1), where m is the slope and x1 and y1 are provided as a single point, (x1,y1).  We have slope(m) = -(1/6) and are given (6,0).  Therefore:

 (y − 0) = -(1/6)(x − 6)  (Point slope form)

y = -(1/6)(x-6)

Rewriting this into standard form, y = mx + b

y = -(1/6)x + 1

What is an equation of the line that passes through the point (-6,-1) and is perpendicular to the line 6x-y=7

Answers

Answer:

y=-1/6x-2

Step-by-step explanation:

Lets find the slope of the given line

6x-7=y,m=6

The slope of the perpendicular line would be=-1/6

Using the point-slope form y-y1=m(x-x1)

y--1=-1/6(x--6)

y+1=-1/6(x+6)

6y+6=-x-6

6y=-x-6-6

6y=-x-12

y=-1/6x-2

For each graph below, state whether it represents a function. HELP!! ​

Answers

1.Yes 2.No 3.Yes 4.Yes 5.No 6.Yes

A store is having a sale where all shoes are discounted by 25%. Diego has a coupon for 2% off of the regular price for one pair of shoes. The store first applies the reduced price. If Diego pays $24.38 for a pair of shoes, what was the original price before the sale and without the coupon?

Answers

Answer:

28.47  sorry if I am wrong

Step-by-step explanation:

Is 2750 a reasonable answer for 917 * 33 explained

Answers

Answer:

No

Step-by-step explanation:

To make this simpler, we will round each number. 917 rounds to 900 and 33 rounds to 30. 900 * 30 = 27,000. We can do this in our head because 9 * 3 = 27, and there are three zeros total between 900 and 30, so we add three zeros after 27. 2750 is not a reasonable answer because the true answer is about 10 times greater than 2750.

which angles are alternate interior angles​

Answers

Answer:

angle NOR and SRO

Step-by-step explanation:

3x = 4у + 12 .
What is the y intercept

Answers

Answer:

I think it is y=-3

Step-by-step explanation:

Answer:

y=-3

Step-by-step explanation:

There are 300 people attending a conference. If each table at the conference can seat 3 people, how many tables will the conference need?

Answers

Answer:

100

Step-by-step explanation:

300 divided by 3

the 300 people would by divided into groups of three which means there would by 100 tables

Find the y-intercept of the line.
y=-1.4x + 6.9

Answers

Answer:

The y-intercept is 6.9

Step-by-step explanation:

The formula is y = mx + b, where m is slope and b is y-intercept.

Hope this helped :)

Rewrite the quadratic function in standard form,
f(x)=3x^2-4x

Answers

Answer:

x(3x-4)

Step-by-step explanation:

-b/2(1) I think this is the formula

Karen wanted to cut three lengths of wood from a 10 foot long board. The length of three pieces she wanted to were 1 2/3 feet 2 3/4 feet and 3 5/6 feet

Answers

[tex]\\ \sf\longmapsto 1\dfrac{2}{3}+2\dfrac{3}{4}+3\dfrac{5}{6}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{3}+\dfrac{11}{4}+\dfrac{23}{6}[/tex]

[tex]\\ \sf\longmapsto \dfrac{20+33+46}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{99}{12}[/tex]

[tex]\\ \sf\longmapsto 8.2ft[/tex]

Rope left

[tex]\\ \sf\longmapsto 10-8.2=1.8ft[/tex]

Answer:

1¾ ft ≈ 1,75 ft

Step-by-step explanation:

[tex] \sf 1\frac{2}{3} + 2 \frac{3}{4} + 3\frac{5}{6} [/tex]

[tex] \sf = \frac{3 + 2}{3} + \frac{4 \times 2 + 3}{4} + \frac{6 \times 3 + 5}{6} [/tex]

[tex] = \sf \frac{5}{3} + \frac{11}{4} + \frac{23}{6} [/tex]

[tex] \sf = \frac{5 \times 4 + 11 \times 3}{3 \times 4} + \frac{23}{6} [/tex]

[tex] = \sf \frac{20 +33 }{12} + \frac{23}{6} [/tex]

[tex] \sf = \frac{53}{12} + \frac{23}{6} [/tex]

[tex] = \sf \frac{53}{12} + \frac{23 \times 2}{6 \times 2} [/tex]

[tex] \sf = \frac{53}{12} + \frac{46}{12} [/tex]

[tex] \sf = \frac{99}{12} [/tex]

[tex] \sf = \frac{10}{1} - \frac{99}{12} [/tex]

[tex] \sf = \frac{10 \times 12 - 99}{12} [/tex]

[tex] = \sf \frac{120 - 99}{12} [/tex]

[tex] \sf = \frac{21}{12} [/tex]

= 1¾ ft ≈ 1,75 ft

what are all the possible ratios that can be made out of 32:56

Answers

Answer: 4:7

Explanation: To find the possible ratio, you first have to divide 32 and 56 into their lowest terms to find your answer. Hope this helps :)

1. Refer to the equation 2x − 4y = 12.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line.

Answers

First, you rearrange the equation to = y.

Next, you choose a set of 4 points as your x values.

Then, plug in your x values to the rearranged equation (which I boxed in). What results are your corresponding y values.

Lastly, to check work plug in your x and corresponding y values to the original equation to make sure they all = 12.

Here’s the work written out:

Which point is an x-intercept of the quadratic function
f(x) = (x – 3)(x + 2)?

A(3, 0)

B(0, 2)

C(0, -2)

D(-3, 0)

Answers

Answer:

A

Step-by-step explanation:

The x-intercepts are the roots of a parabola. Specifically, when a parabola is in the form [tex]f(x)=(x-h)(x-k)[/tex], where h and k are real numbers, the roots are [tex](h, 0)[/tex] and [tex](k, 0)[/tex].

Our parabola has a plus, though. That's a problem, right?

No! [tex]x+2=x-(-2)[/tex], so there's no problem. So, our roots are [tex](3, 0)[/tex] and [tex](-2, 0)[/tex].

So, the answer is A and we're done!

Which statement corresponds to the values of x shown on the following number line? (Gray line is answer, dark black line is just number line)

a) -4 5x<2
b) -4 c) -45x>2
d) -42 x > 2

Answers

Answer:

a)-4 5×<2

Step-by-step explanation:

#CarryOnLearning

Could someone help answer this, please no spam, thank you, will give brainliest, homework help,!

Answers

Answer:

Inequality form: b > 8

Question is in the pic :)

Answers

Answer:

d+d=e

Step-by-step explanation:

Kate's Pattern
Andy's Pattern
Kate and Andy made the following
patterns.
X
у
Х
у
1
2
1
4
Which statement is true?
2
4
2
8
3
6
3
12
4
8
4
16
) Kate's y-values increase at 3 times the rate of Andy's y-values.
® Kate's y-values increase at 2 times the rate of Andy's y-values.
© Andy's y-values increase at 2 times the rate of date's y-values.
D Andy's y-values increase at 3 times the rate of Kate's y-values.

Answers

Answer:

Answer is C

Andy's Y value increases 2 times more

Answer:

B)

Step-by-step explanation:

If you look at Kate's y column, you will see that her pattern goes by 2,4,6 and 8.

It increases by 2.

At the same rate, Andy's increases by 4.

Therefore, B would be the correct answer.

solve for y
2x+3y=r

(Show solving steps please)

Answers

2x + 3y = r

---Subtract 2x from both sides

3y = r - 2x

---Divide both sides by 3

y = (1/3)(r) - (2/3)(x)

Hope this helps!! :)

Please help!! BRAINLIEST to correct answer!!

Answers

I’m not sure if this is right I hope it helps but you weren’t five to the right with the negative one to the four so you have to go five to the left making it -6 for the first coordinate and then he went 13 to the left for the second coordinate so you have to go 13 to the right 6+13 is 19. So your answer is -6, 19 hope this helps!

Somebody explain!!!!!!!!!!!

Answers

Answer:

$190

Step-by-step explanation:

Let's call the original price of the jacket "x".

If the new cost of the jacket is $87, we can represent this as x/2-8=87. By solving for x, we see that the original price of the jacket is $190

Answer:

I think the answer would be 182

Step-by-step explanation:

87x2= 174

174+8= 182

Which of the following are valid names for the given triangle? Check all that apply

Answers

Step-by-step explanation:

i think the answer is c MAX

There are 454 grams in a line. There are 16 ounces in a pound.How many grams are in an ounce?

Answers

Answer:

28.375 (rounded to 29 grams)

Step-by-step explanation:

there are about 454 grams in a pound and 16 ounces in a pound, so to find the relationship we divide 454 by 16 to get 28.375 or about 29 grams

please help me
3x≤21

x≤__?

Answers

Answer:

divide both sides by 3

givea you

x<= 7

2 For each figure, are 21 and 22 adjacent angles or vertical angles? Explain.
b.
a.
2

Answers

Answer:

a is vertical and b is adjacent angles

helppp pleaseeeee, this is due in a few....

Answers

Answer: 3/2

Step-by-step explanation:

Pls answer ASAP timed assignment

Answers

Answer:

A and C

Step-by-step explanation:

Answer:

a and c are right

Step-by-step explanation:

the base must be the number and the exponent is how many times it is multiplied

Can anyone help me and if u don’t know how to do it don’t comment on my stuff

Answers

Answer:

Step-by-step explanation:

(5x +x^4) -((3x^4 )+4x), open the parenthesis and distribute the negative sign

5x+(x^4) -(3x^4) -4x, combine like terms

(-2x^4) +x

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