Can someone help me and explain the answer to this problem: Jay's dog outgrew his rectangular pen that measured 10 feet by 14 feet. To make it larger, he increased each side length by the same amount, which increased the pen's area by 81 square feet. What is the greater side length of the larger pen in feet?

Answers

Answer 1

Answer:

ok so first lets find the original area which is just lenth*width

10*14=140

so they increace it by 81 so

140+81=221

then we just need to find what they increases the side by we know its the same so lets just say that x so

(10+x)(14+x)=221

x=3

so the longest time is 17 since 14+3=17

Hope This Helps!!!


Related Questions

20 points to whomever gets it.

Answers

Answer:

Your answer would be:
C.) 4 - 12x








Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Find m angle 1 and m angle 2

Answers

Step-by-step explanation:

Firstly take the unknown angle be x

now x + 138° = 180° {: linear pair}

x = 180-138

x = 42

now , angle 1+ angle x + 18 = 180 { because of angle sum property }

=> angle 1 +42 +18 = 180

=> angle 1 +60 = 180

=> angle 1 = 180-60

=> angle 1 = 120

Alan saves $180 each month. How much has Alan saved after 3 years?
$540
O $1,620
O $3,240
O $6,480

Answers

Answer:

$6,480

Step-by-step explanation:

[tex]180(12)(3)=6,480[/tex]

Hope this helps

Answer:

#540

Step-by-step explanation:

Alan saved $180 in each month

and we have 12 months in a year so we say

$180=12

x=36

here we cross multiply then we have 180 * 36 which is equal to $6480 after that we divide it by 12 and that's $540

Note: I got 36 months because 12 months in a year so multiply by three years that's 36 months

Ben stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 14 nights. He spent three

times as many nights in Dallas as he did in Washington. The total cost for 14 nights (excluding tax) was $2230. Determine the

number of nights that he spent in each city.

City Cost per Night

Washington $200

$140

Dallas

$150

Atlanta

Answers

Answer:

Step-by-step explanation:

w + a + d = 14

d = 3w

200w + 150a + 140d = 2230

w + a + 3w = 14

4w + a = 14      Eq. 1

200w + 150a + 140d = 2230

20w + 15a + 14(3w) = 223

62w + 15a = 223   Eq. 2

Eq. 1 & Eq. 2

4w + a = 14

62w + 15a = 223

-60w - 15a = -210

62w + 15a = 223

2w = 12

w = 6.5

A half a night is not allowed. Are you sure of rates in each city?

Is it Washington $200,

Dallas $140

Atlanta $150

It doesn't work.

someone please help me work this out??

Answers

Answer:

a) 130m    b)1.3m/s²

Step-by-step explanation:

area under graph = distance

area of trapezium = a+b/2 x h

6+20/2 x 10

13 x 10 = 130m

acceleration = gradient

gradient = change in y/ change in x

4/3 = 1.3 m/s²

What is 0.45 divide 9 =

Answers

Answer:

0.05

Step-by-step explanation:

If dividing 9 by 0.45, basically .45/9, then you would get 0.05. :) You would need to use division, and move the places 2 over since there is a decimal.

The requried, 0.45 divided 9 gives the quotient of 0.05.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
To divide 0.45 by 9, we can write it as a fraction and simplify it:

0.45 ÷ 9 = 0.45/9

We can simplify the fraction by dividing both the numerator and denominator by 9:

0.45/9 = (0.45 ÷ 9)/(9 ÷ 9)
         = 0.05/1 = 0.05

Therefore, 0.45 divided by 9 is equal to 0.05.

Learn more about division here:

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so I don't know to solve this

Answers

Answer:

A

Step-by-step explanation:

When a slope is undefined, it is always x = ?

The point (-5, -8) tells us that x = -5

Option A also has a point with x = -5

153 divided by 4 with remainder

Answers

Answer:

153/4=38 Remainder 1

Answer:

38 r 1

Step-by-step explanation:

Hope this helped! Have a nice day!

:3

Michael looked at a list of real-world situations and wrote a number to represent each situation. His work is shown in the table below. Michael made one or more errors in his table. Identify the error(s) in the number(s) and correct the error(s).

Answers

Answer:

the 3 and the 22 should be negative

please help me solve this ​

Answers

Answer: a = 75 b = 60

Step-by-step explanation:

b + 120 = 180

b = 60

a + 105 = 180

a = 75

if it takes 3 people to make 21 t-shirt per day , how long will it take 12 people

Answers

Answer:

84

Step-by-step explanation:

Because 3 people are making 21 shirts

If there were 12 people then your timesing the answer by 4 so 21=3 people so whats 3 people x 4=12 so then times the shirts by 4

Whats 21 x 4=84 so there is your answer.

Hope it helps have a great day:)

The solution is, 84 long will it take 12 people.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Because 3 people are making 21 shirts

If there were 12 people then your timesing the answer by 4

so 21=3 people so whats 3 people x 4=12

so then times the shirts by 4

21 x 4=84 so there is your answer.

Hence, The solution is, 84 long will it take 12 people.

To learn more on multiplication click:

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Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Answers

each persons share of rental will cost at least 400$ per month!!

Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Lets highlight some key words.

There are three friends and they equally have to share an unknown amount of number to earn up to the 1200 per month,

X=Amount needed to pay the rent fee.

Since there are 3 friends and they have to split we have to multiply,

3x, "At least" is less than or equal to so .

3x [tex]\leq[/tex]

Additionally theres 1200 per month so the friends need to share there rent and 1200 is the total it should be put as

3x [tex]\leq[/tex] $1200

To add up to the rent, and to solve the inequality

we have to do the opposite of multiplication, and divide.

1200/3 = 400, x [tex]\leq[/tex] 400

Calculate the income needed based on the following budgeted expenses. Month _______ Budgeted Amount Rent $350 Utilities $100 Food $150 Entertainment $75 Bus Pass $25 College Savings $300 a. The income would need to be at least $1000. B. The income would need to be at least $950. C. The income would need to be at least $1125. D. The income would need to be at least $850. Please select the best answer from the choices provided A B C D.

Answers

Answer:

The correct answer is

A. The income would need to be at least $1000.

Step-by-step explanation:

Correct on Edge.


2. la container is filled with 100 grams of bird feed that is 80% seed. How many grams of bied teed containing 5% sad
Frust be added to get bird feed that is 40% seed?

Answers

Answer:

43.65 grams

Step-by-step explanation:

43.65 grams of bird feed containing 5% seed must be added to get 43.65 grams

What is the measure of A??

Answers

Question:- What is the measure of A?

Given :-

With respect to the diagram in question

Angle A = (3x-13)°Angle B = (2x+4)°Exterior Angle C = 116°

Answer:-

Exterior Angle property

Exterior angle of triangle is equal to sum of two opposite interior angle .

ATQ :-

[tex] \angle{A} + \angle{ B} = ext \angle C \\ putting \: the \: value \\ 3x - 13 + 2x + 4 = 116 \\ 5x - 9 = 116 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = \frac{ \cancel{125} {}^{ \: \: 25} }{ \cancel5} \\ x = 25[/tex]

For Angle A :- 3x-13

[tex] \angle A = 3x-13 \\ \angle A = 3(25)-13 = 75 - 13 \\ \angle A = 62 \degree[/tex]

Answer:

Step-by-step explanation:

What is the area of this face?

Answers

Answer:

10*4-6*2=28

Step-by-step explanation:

I think it’s none of those

I need help please 36 points

Answers

Using the power of zero property, we find that:

a) The simplification of the given expression is 1.

b) Since , equivalent expressions are:  and .

--------------------------------

The power of zero property states that any number that is not zero elevated to zero is 1, that is:

Thus, at item a, , thus the simplification is .

At item b, equivalent expressions are found elevating non-zero numbers to 0, thus  and .

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS

Answers

Answer: 1/2

Step-by-step explanation: Never fear the great answerer is here!

Answer:

I think it's 8 or 1/2. not completely sure.

It takes 2 cups of flour to make 24 cookies. How much flour will it take to make 60 cookies?​

Answers

Answer:

5 cups of flour needed to make 60 cookies.

Step-by-step explanation:

24 cookies → 2 cups of flour

1 cookies → (2/24) cups of flour

60 cookies → [(2/24)*60 ] cups of flour

60 cookies → 5 cups of flour needed

Answer:

5 cups

Step-by-step explanation:

If 2 cups makes 24 cookies, then 1 cup makes 12 cookies. Since 12 times five is 60, 1 cup of flour filled five times makes 60 cookies so you will need 5 cups of flour.

PLEASE HELP ME. I DESPERATELY NEED IT

Write the point slope form of the equation of the line through the given point and slope:

EXPLAIN PLEASE. STEP BY STEP

Answers

hmm wait for my answer

Step-by-step explanation:

wait

Answer:  [tex]y + 1 = \frac{4}{3}\left(x - 3\right)\\\\[/tex]

=====================================================

Explanation:

The given slope is [tex]m = \frac{4}{3}[/tex] and the line goes through the point [tex](x_1,y_1) = (3,-1)[/tex]

This means [tex]x_1 = 3 \ \text{ and } \ y_1 = -1[/tex]

We will plug this information into the point-slope formula below and simplify.

[tex]y - y_1 = m\left(x - x_1\right)\\\\y - (-1) = \frac{4}{3}\left(x - 3\right)\\\\y + 1 = \frac{4}{3}\left(x - 3\right)\\\\[/tex]

We stop here since your teacher wants the answer in point-slope form. As the name implies, point-slope form is very handy to quickly spot the slope and a point on the line.

If your teacher wanted the answer in slope-intercept form, then you'd solve for y to get it into y = mx+b form.

Please help!
Steven borrows $60,000 for school. The intrest rate is 6.5%. He wants to pay off the loan in 12 years. What would be the simple intrest rate?

Answers

Answer:

i think it is $106,800.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6.5%/100 = 0.065 per year.

Solving our equation:

A = 60000(1 + (0.065 × 12)) = 106800

A = $106,800.00

The total amount accrued, principal plus interest, from simple interest on a principal of $60,000.00 at a rate of 6.5% per year for 12 years is $106,800.00.

The simple interest rate for this loan is 78%.

What is simple interest?

It is the interest calculated on the principal at a given rate for a time period.

We have,

If Steven borrows $60,000 at an interest rate of 6.5%, the total amount of interest he will pay over 12 years can be calculated as:

I = Prt

where I is the interest, P is the principal amount borrowed ($60,000), r is the interest rate as a decimal (0.065), and t is the time period in years (12). Substituting the given values, we get:

I = 60000 x 0.065 x 12

I = $46,800

The simple interest rate is the ratio of the total interest paid to the principal borrowed, expressed as a percentage:

simple interest rate = (total interest/principal borrowed) x 100

Substituting the given values, we get:

simple interest rate = (46800 / 60000) * 100

simple interest rate = 78%

Therefore,

The simple interest rate for this loan is 78%.

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the sum of a number times 9 and 30 is at most 22

Answers

Answer:

  9x + 30 ≤ 22

Step-by-step explanation:

Let x be "a number."

"the sum of a number times 9" is 9x +

"and 30"                                          9x + 30

"is at most 22"                                 9x + 30 ≤ 22

Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total employee benefits are _____% of his gross pay. A. 4. 9 b. 8. 5 c. 14. 6 d. 17. 1.

Answers

The total employee benefits of Trevor with no job expenses and gross pay of $28600 is 17.1%. Option d is the correct option.

What is total employment compensation?

Total employment compensation is equal to the sum of gross pay and employment benefit subtracted with any job expenses.

Trevor’s total employment compensation is $33,500. Trevor has no job expenses and his gross pay is $28,600.

Let the total employee benefits is x. Therefore, using the above definition of total employment compensation,

[tex]33500=28600+x-0\\[/tex]

Solve it for x as,

[tex]x=33500-28600\\x=4900[/tex]

In the percentage form,

[tex]x=\dfrac{4900}{28600}\times100\\x=17.1\%[/tex]

Hence, the total employee benefits of Trevor with no job expenses and gross pay of $28600 is 17.1%. Option d is the correct option.

Learn more about the employment compensation here;

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The perimeter of a poster is 12 feet. The area is 8 square feet. What are the dimensions of the poster?

__ feet by __ feet

Answers

Two by four feet should be correct

Find the product or type
"impossible".
1 -2
-3 4
3 4 2 -7

Answers

Answer:

Our answer should be this :

[-7 18]

[-1. -16]

Answer:

  see attached

Step-by-step explanation:

Your calculator, spreadsheet, or any number of apps or web sites can compute a matrix product for you. The requirement for the product to exist is that the number of columns in the left matrix match the number of rows in the right matrix.

The product term at location (row, column) = (j, k) in the product is the dot-product of row j in the left matrix with column k in the right matrix. For example, in this matrix product, term (1,2) in the product is the dot-product ...

  [1, -2]·[4, -7] = (1)(4) +(-2)(-7) = 4 +14 = 18 . . . product term (1, 2)

__

The attachment shows the full product.

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=75(1.98)^x
y=75(1.98)
x

Answers

Since they are both the same question, the answer is GROWTH at 98%

There is a line segment called AB (not pictured). The coordinates of point A are (6, 2), and the coordinates of point B are (2, 6).

AB is transformed to form A'B', which is shown on the graph.

Which transformation below caused AB to transform into A'B'? Use graph paper to sketch the transformation if needed.

Question 6 options:

A.a reflection across the x-axis

B. a counter-clockwise 90 degree rotation about the origin

C. a reflection across the y-axis

D. a translation 3 units down and 7 units left

Answers

Answer:

a counter-clockwise 90 degree rotation about the origin

Step-by-step explanation:

Answer:

ANSWER IS C The transformation below that caused AB to transform into A'B' is a reflection across the y-axis

How to translate a coordinate point to another

Given the following coordinates

A = (6, 2)

B = (2, 6)

A' = (-6, 2)

B' = (-2, 6)

According to the reflection rule, the reflection over y axis is given as:

Note that the x-coordinate was negated as seen from the translation A to A' and B to '.

Hence the transformation below that caused AB to transform into A'B' is a reflection across the y-axis

Learn more on transformation here: brainly.com/question/1462871

Step-by-step explanation:

Can someone show me step by step on how to do this

x-2y=-3





2x-3y=-5

SOLVE THIS BY ELIMINATION

Answers

Answer:

x=-1, y=1

Step-by-step explanation:

x-2y=-3
multiply both all terms by -2
-2x+4y=6
-2x+4y+2x-3y=6-5
simplify to get y=1
replace y with 1 in the original equation of your choice and solve for x
x-2(1)=-3
x-2=-3
x=-1

Here is how to do it, hope it helps. Any questions pls ask

solve for me thanks im begging

Answers

Answer: y = 8x

Step-by-step explanation:

y = 8x

8 centimeters= ____ millimeters?

Answers

Answer: 80

Step-by-step explanation:

1 cm is 10 millimeters. 8*10 is 80

8 centimetres= 80 millimetres

8cm • 10mm = 80mm

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