K=39 and j=10 what's k/3 + j

Ashwin helps paint a square mural in his classroom. Then he helps paint a mural in the hallway whose length is 7 feet longer and

Serhud [2]

Ashwin paints 2 murals:

A square mural in his classroom
A mural in the hallway with length 7 feet longer and width 3 feet shorter

Also, x indicates the side length of the mural in the classroom. Since the classroom mural is square in shape, the length and breadth of the mural would be x.

Part A: Expression to represents the two binomials to be multiplied to find the area of the hallway mural

Area of the hallway mural = Length of the hallway mural × Breadth of the hallway mural

So Length of the hallway mural = Length of the classroom mural + 7

⇒ Length of the hallway mural = x + 7

Breadth of the hallway mural = Breadth of the classroom mural - 3

⇒ Breadth of the hallway mural = x - 3

Hence, x + 7 and x - 3 need to be multiplied to determine the area of the mural

Part B: Area of the hallway mural

Area of the hallway mural = Length of the hallway mural × Breadth of the hallway mural

⇒ Area of the hallway mural = (x + 7) × (x-3)

⇒ Area of the hallway mural = x² + 7x - 3x - 21

⇒ Area of the hallway mural = x² + 4x - 21

Part C: Area of the hallway mural if each side of the classroom mural is 8 foot long

Putting the value x = 8 in the answer of Part B

⇒ Area of the hallway mural = 8² + 4×8 - 21

⇒ Area of the hallway mural = 64 + 4×8 - 21

⇒ Area of the hallway mural = 64 + 32 - 21

⇒ Area of the hallway mural = 75 square feet

3 0

3 years ago

Read 2 more answers

a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma

NeX [460]

Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

so

$y = 2x + 3$

also

y is equal to twice the sum of the smaller number and 1.

so

$y = 2x + 1$

so the system of equations become

$y = 2x + 3$

$y = 2x + 1$

solving

$\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}$

$\mathrm{Subsititute\:}y=2x+1$

$\begin{bmatrix}2x+1=2x+3\end{bmatrix}$

$\mathrm{Refine\:}2x+1=2x+3$

$-2=0$

$-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}$

$\mathrm{No\:Solution}$

Therefore, there is NO solution.

7 0

3 years ago

Hayden wanted to investigate whether there was a difference in the time spent in the checkout line between two grocery stores. S

Ber [7]

Answer:

No. The data in this study were not based on a random method. This is a key requirement for an inference to be made from the two-sample t-test.

Step-by-step explanation:

1. Hayden can use the two-sample t-test (also known as the independent samples t-test)to find out if there was a difference in the time spent in the checkout time between two grocery stores and to conclude whether the difference in the average checkout time between the two stores is really significant or if the difference is due to a random chance. There are three conditions to be met when using the two-sample t-test.

2. The first condition is that the sampling method must be random. This requirement was not met in this study. Each customer from each store should have an equal chance of being selected for the study. This was not achieved.

3. The distributions of the sample data are approximately normal. This is achieved with a large sample size of 30 customers selected for each study.

4. The last but not the least condition is the independence of the sample data. Sample data here is independent for both samples.

5 0

3 years ago

What is the equation of the oblique asymptote?<br> h(x) = x² – 3x - 4/x + 2

NNADVOKAT [17]

Simplifying h(x) gives

h(x) = (x² - 3x - 4) / (x + 2)

h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)

h(x) = ((x + 2)² - 7x - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)

h(x) = (x + 2) - 7 - 22/(x + 2)

h(x) = x - 5 - 22/(x + 2)

An oblique asymptote of h(x) is a linear function p(x) = ax + b such that

$\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0$

In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.

4 0

2 years ago

????? Anyone that can help giving 10 points

katen-ka-za [31]

Step-by-step explanation:

we know that perimeter of triangle is equals to side + side + side

but we can see that the particular triangle is having all the sides equal so it is seen to be equal lateral triangle and formula of equilateral triangle is 3 × sides.....

So,We will take sides common.....

Perimeter of equilateral triangle= 3×Side

3×4.6 cmsq.

13.8cmsq. Answer

6 0

3 years ago