Ellie’s new kitten is 412 inches long. Her rabbit is 325 inches longer than her kitten. Which equation can be used to find the length of Ellie’s rabbit, r? A.412−325=r
B.325+412=r C.412−r=325 D.325+r=412

Answer:

b) 153.86 m^2

Step-by-step explanation:

Area=Pi x R^2

Area=3.14 X 7^2

Area=3.14 x 49

Area=153.86

d. 38.47 [tex]m^{2}[/tex]

circumference is 21.99114858.

diameter is 7.000000002.

radius is 3.500000001.

area is 38.48451003.

Answer:

[tex]Height = 8.660\ in[/tex]

[tex]Width = 17.321\ in[/tex]

Step-by-step explanation:

Given

[tex]Area= 150in^2[/tex]

[tex]Side\ Margin = 1\ in[/tex]

[tex]Top\ \&\ Bottom\ Margins = 2\ in[/tex]

Required

Determine the smallest dimension to use

To answer this question, I'll make use of the attached figure as a point of reference.

The area of the printed matter is:

[tex]Area = Length * Width[/tex]

[tex]A_1 = H * W[/tex]

Substitute 150 for A1

[tex]150 = H * W[/tex]

Make H the subject

[tex]H = \frac{150}{W}[/tex]

The area of the full paper is:

[tex]Area = Length * Width[/tex]

[tex]A_2 = (W + 2+2) * (H + 1 + 1)[/tex]

[tex]A_2 = (W + 4) * (H + 2)[/tex]

Substitute 150/W for H

[tex]A_2 = (W + 4) * (\frac{150}{W} + 2)[/tex]

Open brackets

[tex]A_2 = W(\frac{150}{W} + 2) + 4(\frac{150}{W} + 2)[/tex]

[tex]A_2 = 150 + 2W + \frac{600}{W} + 8[/tex]

Collect Like Terms

[tex]A_2 =2W + \frac{600}{W} + 8+150[/tex]

[tex]A_2 =2W + \frac{600}{W} + 158[/tex]

Differentiate with respect to w and set the result to 0

[tex]A_2' = 2 - \frac{600}{W^2} + 0[/tex]

[tex]A_2' = 2 - \frac{600}{W^2}[/tex]

Set to 0

[tex]0 = 2 - \frac{600}{W^2}[/tex]

Collect Like Terms

[tex]2 = \frac{600}{W^2}[/tex]

Cross Multiply

[tex]2 * W^2 = 600[/tex]

Make [tex]W^2[/tex] the subject

[tex]W^2 = \frac{600}{2}[/tex]

[tex]W^2 = 300[/tex]

Take positive square root of both sides

[tex]W = 17.321[/tex]

Recall that:

[tex]H = \frac{150}{W}[/tex]

[tex]H = \frac{150}{17.321}[/tex]

[tex]H = 8.660[/tex]

Hence, the smallest dimension of the paper is:

[tex]Height = 8.660\ in[/tex]

[tex]Width = 17.321\ in[/tex]

Answer:

H=18

W=12

Step-by-step explanation:

The question says 1 inch margins on the sides AND the top. And THEN a 2 inch margin ONLY on the bottom.

First, solve for y,

A = xy

150 = xy

150/x = y

If the center dimensions is A and its it equals x*y, then plus the margins, the outer dimensions would just be x+(size of margins) for width and y+(size of margins) for height.

This gives us

Width: x + 2

Height: y + 3  

Putting height into terms of x: (Substitute y) = 3 + 150/x

Now, since the area of a rectangle is b*h, the equation is:

(x + 2)(3 + 150/x)

Simplify:

3x + 150 + 6 + 300/x

= 3x + 156 + 300/x

Next, we find the derivative of this and then solve for x.

= 3 - 300/x^2

Solving for x:

0 = 3 - 300/x^2

3 = 300/x^2

3x^2 = 300

x^2 = 100

x = 10

Now that we have x, we plug this into the different equations for height and base:

Base=(10) + 2 = 12

Height=3 + 150/(10) =3+15 = 18

Hope this helps!

Answer:

X=12 this is the answer and hope it helps :) and if u want it simplified u can simplify it

Answer:

Step-by-step explanation:

the right choice are B and C

8=8 for B

24=24 for C

Answer:

The question is not written, so i will answer in a general way.

We know that we start with two people, Emz and Colt.

Let's define the function:

P(n) = The number of people helped in each iteration.

such that n is the number of each event (n = 1 is when Emz and Colt help 5 people each, n = 2 is when those helped people help more people, and so on)

We know that:

P(1) = 10

Because we have 2 persons helping 5 each, 2*5 = 10.

Now, each one of these 10 persons help 5 people, then:

P(2) = 10*5 = 50

Now each of these 50 people help 5 more, then:

P(3) = (10*5)*5 = 10*5^2

We already could see the pattern, such that:

P(n) = 10*(5)^(n - 1)

This equation represents the number of people helped in each iteration.

Answer:

63/2

Step-by-step explanation:

Answer:63/2

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8 + 8 x 8 = 8 + 64 = 72

Hope that helps!

Answer:

There's a very simple way to solve this kind of problem. All we have to do is change the percent to a decimal and multiply it by her current grade.

81 × .15 = 12.15

For our purposes, we'll just round it down to 12. But anyway, raising her grade by 15% would mean raising it by 12 points.

81 + 12 = 93

This would give her an average of 93, not 95. She'd need to raise her grade 18% from 81 to get to her goal.

look above

Answer:

Step-by-step explanation:

Answer:

32h^7

Step-by-step explanation:

(4h^4)3=64h^12

64h^12/2h^5=

32h^12/2h^5=32h^7

Hope this helps :)

Answer:

The width is 35 cm.

The length is 25 cm.

Step-by-step explanation:

Answer: x=7

Step-by-step explanation:

Step 1: Subtract 17x from both sides.

13x+15−17x=17x−13−17x

−4x+15=−13

Step 2: Subtract 15 from both sides.

−4x+15−15=−13−15

−4x=−28

Step 3: Divide both sides by -4.

−4x/−4 =−28/−4

x=7

Answer:

Step-by-step explanation:

(1,3)

Answer:

I think the slope is 3/1

Step-by-step explanation:

3 rise ,1 run

(1,3)

Answer:

24 would be your answer.

Answer:

24 would be the answer! :>

We have to,

write a word problem for this equation,

→ 2/3 × 5

Let's write a word problem,

For one student 2/3 part of one cake is needed. Then how many cakes will they have to buy for 5 students?

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

we have to write a word problem for this equation

[tex]\frac{2}{3}*5[/tex]

word problems:-

if 1 people needs 2/3 work.So how much work will need to 5 people.??

Answer:

Step-by-step explanation:

Answer:

124.8

Step-by-step explanation:

is the answer I did it in my note book

Answer:

7.2p

Step-by-step explanation:

Calculator

Answer:

x = 3

Step-by-step explanation:

Factor using difference of cubes and set each factor equal to 0.

Answer:

x = 3

explanation:

Correct

Answer:

A and C

Step-by-step explanation:

B isnt because it is a cone

Answer:

c. A and C

Step-by-step explanation:

Answer:

4. y=-4x

Step-by-step explanation:

your rise (up and down) is negative as it goes 4 down and your run (left and right) is positive and it goes 1 to the right

[tex] - \frac{4}{1} = - 4[/tex]

Answer:

C (1,2)

Step-by-step explanation:

Answer:

She can only fill 10 pages completely.

Step-by-step explanation:

She can fill 10 pages, because 40/10=4.  She does not have enough pages left to fill another page fully.

Answer

$850.50

I think

Step-by-step explanation:

Answer:

874

Step-by-step explanation:

Couches: 2 × 677 = 1,354

Beds: 4 × 465 = 1,860

Lamps: 3 × 94 = 282

1,354 + 1,860 + 282 = 3496

Four equal payments: 3496 ÷ 4 = 874

[tex]= \tt\$570[/tex]

Money Dayami earns for an hour's work = $10.50

Number of hours Dayami worked last week = 40

Money Dayami would have gotten for her work :

[tex] =\tt 10.50 \times 40[/tex]

[tex] =\tt \$ \: 420[/tex]

Thus, money earned by Dayami for her work = $420

Total sales Dayami made last week = $2050

Money Dayami must have earned as commission :

= 6% of total sales

[tex] = \tt6 \% \: of \: 2500[/tex]

[tex] = \tt\frac{6}{100} \times 2500[/tex]

[tex] =\tt \frac{15000}{100} [/tex]

[tex] =\tt \$150[/tex]

Thus, money Dayami earned as a commission = $150

Dayami's weekly gross salary last week :

[tex] = \tt420 + 150[/tex]

[tex] =\color{plum} \tt \: \$570[/tex]

Thus, total salary = $570

Therefore, Dayami's gross salary last week = $570

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = - 3x + 7 ← equation of line