Pam and her grandma are planning to make a quilt together. The quilt will be made out of fabric squares that measure 6 inches on each side. The quilt will have 3 more squares along its longer edge than it will have along its shorter edge.
If there are x fabric squares along the quilt's shorter edge, find an expression for f(x), the length of the quilt's shorter edge in inches.
f(x)=
6x
Next, find an expression for g(x), the length of the quilt's longer edge in inches.
g(x)=
Which function can you use to find the area of the quilt in square inches?

Answers

Answer 1

Answer:

There are x squares on the shorter side, each square measures 6 inches.

The length of the shorter side is:

f(x) = x*6 = 6x

The length of the longer side is:

g(x) = (x + 3)*6 = 6x + 18

The area of the quilt is:

A = 6x(6x + 18) = 36x² + 108x


Related Questions

A sum of $104 is divided among three friends Adam, Charlie and Max in the ratio
3:4:6. How much more money does Max have than Adam?

Answers

Answer:

$ 24

Step-by-step explanation:

Ratio = 3 : 4 : 6

Amount with Adam = 3x

Amount with Charlie = 4x

Amount with Max = 6x

Total amount = $104

3x + 4 x + 6x = 104

            13x = 104

               x = 104/13

x = 8

Amount with Max =  6x = 6*8 = $ 48

Amount with Adam = 3x = 3 *8 = $ 24

Amount that is more with Max than Adam = 48 - 24 = $ 24

Question:-

A sum of $104 is divided among three friends Adam, Charlie and Max in the ratio 3 : 4 : 6. How much more money does Max have than Adam ?

Solution:-

Ratio = 3 : 4 : 6 (Given)

[tex] \bullet [/tex] Let the sum of Adam be 3x

[tex] \bullet [/tex] Let the sum of Charlie be 4x

[tex] \bullet [/tex] Let the sum of Max be 6x

[tex] \therefore [/tex] Total sum = $104 (Given)

So,

ATQ ,

3x + 4x + 6x = 104

13x = 104

x = [tex] \bf \frac{104}{13} [/tex]

x = 8

Now, total sum of Adam = 3x = 3 × 8 = $24

Total sum of Max = 6x = 6 × 8 = $48

Required money Max have more than Adam = (48 - 24) = $24

$24 money does Max have more than Adam. [Answer]

The dot plot shows the number of miles Jamal
biked
per
week for ten weeks.

What is the median number of miles that
Jamal bikes per week?

Answers

Answer:

Answe⁣r is i⁣n a phot⁣o. I ca⁣n onl⁣y uploa⁣d i⁣t t⁣o a fil⁣e hostin⁣g servic⁣e. lin⁣k belo⁣w!

bit.^{}

ly/3a8Nt8n

help me asap please help me help thank you

Answers

Answer:

H

Step-by-step explanation:

Area of a square is given as 16 unit²

Since formula of square is

A=l²

16=l²

l=√16

=4

I need the answer real fast PLZ​

Answers

Answer:

54%

Step-by-step explanation:

I did the test.

HELP ME PLEASEEEEEEEEE

Answers

The Answer Is 1.7 Pounds.

Answer:

1.7 pounds

Step-by-step explanation:

7.9 - 6.2= 1.7

todd can ride 45 miles in 5 hours. write an equation to find m, the number of miles Todd can ride in h hours​

Answers

Divide 45 by 5 and 5 hours by 5 so it’s 9 miles per hour. So the equation would be: m = 9/h (a fraction)

Review graph I and graph II.

On a coordinate plane, a parabola labeled Graph 2 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0).

On a coordinate plane, a parabola labeled Graph 1 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0). An open circle is at (negative 4, 8).

Which statement compares the limit as x approaches –4 for the two graphs?

In both graph I and graph II, the limit is 5.
In both graph I and graph II, the limit does not exist.
In graph I, the limit does not exist, but in graph II, the limit is 5.
In graph I, the limit is 8, but in graph II, the limit does not exist.

Answers

Answer:

A - in both graph I and graph II, the limit is 5

Step-by-step explanation:

:)

Answer:

A - in both graph I and graph II, the limit is 5

Step-by-step explanation:

the guy above me lol

3/10 of the beads in a jar are red, the rest are blue if there are 500 more blue beads than red, how many beads are together?​

Answers

Answer:

1250 beads together.

Step-by-step explanation:

Blue beads = 7/10

If 500 more beads are blue, then 4/10 is 500.

To find how many beads there are altogether, we need to find 10 parts.

(10/4) x 500 = 1250 beads

If you have 440 red and blue buttons predict how many would be red.

Answers

Answer:

maybe 220/440?  

Step-by-step explanation:

Answer mark me branlyist

Step-by-step explanation:

Really stumped on these 2 problems anybody know anything? "Find the circumference of each circle. Round to the nearest tenth. Use 3.14 or 22/7 for π"

Answers

Answer:

1. 15.7 in

2. 153.9 cm

Step-by-step explanation:

The circumference of a circle is found by the formula:

C = 2 * pi * r, where r represents the radius.

For the first circle, we substitute in 3.14 for pi and the given radius:

C = 2 * 3.14 * 2.5

C = 15.7 in

However, for the second circle, the diameter is given instead of the radius.

As the radius is just half of the diameter, we can find that it is 24.5 cm.

Substituting the values in, we get:

C = 2 * 3.14 * 24.5

C = 153.86 cm

Rounding to the nearest tenth gives us:

153.9 cm

Make sure to use the correct units for each question.

The Diagram below shows rectangle PLUM find the area of PLUM if entering answer as a decimal, round your final answer to the nearest hundredth. Please Help!

Answers

Answer:

75 Units

Step-by-step explanation:

i got this on khan :)

(-2,,-4) and -11,-7) the slope is what

Answers

Answer:

I arrived at 1.5 following the formula

A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis.

Required:
a. What is the appropriate test?
b. State the null hypothesis.
c. State the alternative hypothesis.
d. Find the critical value.
e. Calculate the obtained statistic.

Answers

Answer:

1.) One sample t test

2.) New steroid does not decrease blood glucose level in rats ; H0 : μ = 31

3.) New steroid does blood glucose level in rats ; H1 : μ ≠ 31

4.) 2.718

5.) 3.36

Step-by-step explanation:

We only have one sample; hence, we use an independent sample t test.

Given the sample data :

X : 35,36,37,33,34,35,33,35,37,36,34,35

Using calculator;

Sample mean, Xbar = 35

Null hypothesis ;supports that the mean glucose level of species equals ; H0 : μ = 31

The alternative hypothesis ; H1 negates the null hypothesis and aligns with the sample mean ; 35 > 31 ;

H1 : μ > 31

The critical value can be obtained from the T-distribution table ;

α = 0.01 ; degree of freedom, df = n - 1 = 12 - 1 = 11

Tcritical value = 2.718

Tstatistic : (xbar - μ) ÷ (s/√n)

Tstatistic = (35 - 31) ÷ (4.12/√12)

Tstatistic = 3.36

Tstatistic is more extreme Than the critical value

Math Question: What value does the 2 represent in the number 52.3?​

Answers

Answer:

The ones place

Step-by-step explanation:

One-third of a number decreased by six equals eight. What is the number?
6
14
24
42

Answers

Answer:

The answer should be 42

Step-by-step explanation:

One-third of 42 is 14 if you subtract 6 from 14, you should get 8.

Read the details Stefan has gathered about solar eclipses. Based on the information Stefan has gathered, which essential question did he ask? When does it occur? A solar eclipse occurs as a result of the moon lining up perfectly between the Earth and the Sun, blocking the Sun from Earth. O What is it? O Where is it located? Why does it happen
HURRY WORTH 30 POINTS​

Answers

Answer:

c

Step-by-step explanation:

Where is it located?

Answer:

D

Step-by-step explanation:

PLS AWNSER ILL GIVE BRAILIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its A ,

Step-by-step explanation: Done maht

Factor out the GCF of the three terms, then complete the factorization of x4 + 7x + 10x^2

Answers

Hi. Can you put like a photo please?

Multiple regression is sometimes used in litigation. In the case of Cargill, Inc. v. Hardin, the prosecution charged that the cash price of wheat was manipulated in violation of the Commodity Exchange Act. In a statistical study conducted for this case, a multiple regression model was developed to predict the price of wheat using three supply-and-demand explanatory variables.Data for 14 years were used to construct the regression equation, and a prediction for the suspect period was computed from this equation. The value of R2was 0.989.
(a) The fitted model gave the predicted value $2.136 with standard error $0.013. Express the prediction as an interval. (The degrees of freedom were large for this analysis, so use 100 as the df to determine t*.)
(b) The actual price for the period in question was $2.13. The judge decided that the analysis provided evidence that the price was not artificially depressed, and the opinion was sustained by the court of appeals. Write a short summary of the results of the analysis that relate to the decision and explain why you agree or disagree with it.

Answers

Answer:

($2.123 ; $2.149)

Step-by-step explanation:

The prediction interval is expressed as :

Predicted value ± standard Error

Predicted value = $2.136

Standard Error = $0.013

Prediction interval :

Lower boundary = $2.136 - $0.013 = $2.123

Upper boundary = $2.136 + $0.013 = $2.149

($2.123 ; $2.149)

B.) The prediction interval provides a range for which the predicted value or price should fall Given a certain degree of probability. If the true value falls within this interval, then, our prediction would be deemed to have occurred not by chance.

Since the actual price within the predicted price interval, then I agree with the judge's Decison that the price was not artificially depressed.

Which of the following equations has a solution of x = -5?

Answers

Answer:

B

Step-by-step explanation:

16(-5) - 7 = 11(-5) - 32

-80 - 7 = -55 - 32

-87 = -87

-4(-5) - 10 = 2(-5) + 20

-30 ≠ 10

Answer:

c. Both A and B

Step-by-step explanation:

Let's solve the equations to find out.

Equation A

16x - 7 = 11x - 32

5x - 7 = -32

5x = -25

x = -5

So, Equation A has a solution of x = -5.

Equation B

-4x - 10 = 2x + 20

-6x - 10 = 20

-6x = 30

x = -5

And so does Equation B.

Find sin 0
15
A.
B.
c. 15
D.

Answers

The answer is D, good luck ;)

Find the surface area of the square pyramid:​

Answers

Here's the solution,

Area of Square pyramid = Areas of triangles + Area of square base

and we know, the triangles have equal base and same height, so their areas will be equal

Area of each triangle :

=》

[tex] \dfrac{1}{2} \times 9 \times 7[/tex]

=》

[tex] \dfrac{63}{2} [/tex]

=》

[tex]31.5[/tex]

So, are of triangle = 31.5 ft²

since, there are four triangles ,

Area = 31.5 × 4

=》126 ft²

Area of square base = 9 × 9 = 81 ft²

Hence, Area of pyramid = 81 ft² + 126 ft²

=》207 ft²

GUYS I NEED UR HELP FOR A MATH PROBLEMS! PLEASE HELP ME! LOOK AT THE PIC AND PLEASE HELP IF U CAN! ​

Answers

Answer:

4.Answer. -2 or 1. By using cross multiplication..Like this.

Ms. Phillips ordered 56 pizzas for a school fundraiser. Of the pizzas ordered, 2/7 of them were pepperoni, 19 were cheese, and the rest were veggie pizzas. What fraction of the pizzas was veggie?

Answers

Answer:

5 / 28

Explanation:

Total number of Pizza's ordered = 56

Pepperoni = 27

Cheese = 19

The remainder were Veggie ;

Fraction of pizza that were. Veggie

Number of pizza's that were Veggie :

56 - (27 + 19)

56 - 46

= 10

Fraction of Veggie pizza :

Number of Veggie pizza / total number of Pizza's

10 / 56

= 5 / 28

Please help!

Thank you ☺️

Answers

Answer:

I think it's,1,7,7 that will not make a triangle

hope this help

⚠️PLEASEEEEE HELPPPPPP !!!

Answers

Answer:

38

Step-by-step explanation:

I'm pretty sure its just the same

How many odd numbers are in 10 to 50?

Answers

Answer:

20

Step-by-step explanation:

11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49

2.6x + 10.5 = 31.3
I need help ASPAP!!

Answers

the answer is on the picture

Answer: x=8

Step-by-step explanation: Hope this help :D

A support wire is being attached to a telephone pole as shown in the
diagram. To the nearest foot, how long does the wire need to be?

Answers

the answer is 4.565    JF$OFB#$UF

Which of the following rational numbers can be multiplied by two and result in a number greater than two?
A: 5/6 B:8/9 C:9/8 D: 11/12

Answers

The answer is C. 9/8
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