Half the area of the rectangle shown is 24 square inches. Write and solve an equation to find the value
of x.
6 in.
(x + 2) in
Equation:
X=
2

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Half the area of the rectangle shown is 24 square inches. Then value of x is 6

What is Area of Rectangle?

The area of Rectangle is length times of width.

Area = length x width.

24 = (x + 2)(x - 3) = x² - x - 6

x² - x - 30 = 0

(x + 5)(x - 6) = 0

We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6

The length = x + 2 = 6 + 2 = 8 in.

The width = x - 3 = 6 - 3 = 3 in

Hence, the value of x is 6.

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Related Questions

The length of a rectangle is 9cm more than four times the width. If the perimeter of the rectangle is 78 cm, what are its dimensions

Answers

Answer:

Length is 32. 6 cm and width is 5.9 cm

Step-by-step explanation:

width(w)=w

perimeter(p)=78 cm

length(L) = 4w+9

p=2L+2w

78=2(4w+9)+2w

78=8w + 19 + 2w

10w=59

w=5.9 cm

L=4w+9

L=4(5.9)+9

L=32.6 cm

Therefore length is 32.6 cm and width is 5.9 cm

Solve -x > 8 or -x < 4.

{x | -12 < x < -6}
{x | x < -12 or x > -6}
{x | x > -12 or x < -6}

Answers

Answer:

-4 < x < -8

Step-by-step explanation:

Given solve -x > 8 or -x < 4.

Solve each inequality first

-x > 8

Divide both sides by -1

-x/-1 > 8/-1

x < -8

Also if -x < 4

Divide both sides by -1

-x/-1 < 4/-1

x > -4

Combine both inequality x < -8 and x > -4

-4 < x < -8

Hence the solution set is -4 < x < -8

-2.49 = -5 + x
please solve for x ;)

Answers

It’s 0.498 just divide -2.49 and -5

Answer:

x=2.51

Step-by-step explanation:

-2.49=-5+x

-5+x=-2.49

-5+x+5=-2.49+5

x=2.51

Simplify 5 to the power of negative 2 over 4 to the power of 6?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{5^{-2} }{4^{6} } =\frac{1}{5^{2} 4^{6} }[/tex]

what is the result ​

Answers

Answer:

(3)     [tex]  \dfrac{P_1V_1}{V_2} [/tex]

Step-by-step explanation:

[tex] P_1V_1 = P_2V_2 [/tex]

Divide both sides by V2.

[tex] \dfrac{P_1V_1}{V_2} = P_2 [/tex]

[tex]P_2 =\dfrac{P_1V_1}{V_2}[/tex]

Dance club has a $20 start up fee and a $5 monthly fee

M=

B=

Y=

Answers

9514 1404 393

Answer:

  y = 5x +20

Step-by-step explanation:

We assume you want the total cost (y) of x months of membership at the dance club.

This will be the sum of the start-up fee (20) and the product of the monthly fee (5) and the number of months (x).

  y = 5x +20

Comparing this to the slope-intercept form of the equation of a line, we see ...

  y = mx + b

  m = 5

  b = 20

What is 6/2(1+2)=?
E
X
P
L
A
I
N
If you don't explain u won't get brainliest.

Answers

Answer:

Answer is 9

Step-by-step explanation:

Remember PEMDAS???

"parenthesis, exponents, multiplication, division, addition, subtraction"

you would first solve the addition inside of the parentheses (1 + 2 = 3), and from there finish the equation as it's written from left to right.

Answer:

9

Step-by-step explanation:

First, we have to solve inside the parentheses because of PEMDAS or GEMDAS, whichever you know. When we add 1+2 we get 3 inside the parentheses and it looks like this: 6/2(3).

Then, we have to divide 6 by 2 before we do anything else. When we divide 6/2, we get 3 and it will look like this: 3(3).

Finally, we have to multiply 3 by 3 because when something is in parentheses, you have to multiply it by the number right before it (next to it). Once we multiply 3*3, we will get our answer of 9.

(sorry if this is confusing but I hope it helped anyway)

does this ratio form a proportion? show ur work, please!

Answers

AnswerStep-by-step explanation:

[tex] \frac{5}{12} = \frac{170}{} [/tex]

[tex] \frac{5}{12} = \frac{5 \times 34}{12 times 34} [/tex]

Simplify

[tex] \frac{5 \times 34}{12 times 34} = \frac{5}{12} [/tex]

Therefore, the ratio from the relation of the information is proportional.

How do i solve 4x+3=35?

(I really appreciate everyones help )

Answers

Answer:

x=8

Step-by-step explanation:

1. Subtract the 3 from both side so the new equation states 4x=32

2. Divide both sides by 4 for the final answer of x=8

Answer:

That is the answer.

Step-by-step explanation:

l hope it helps ❤❤❤

this is a rational equation i don't understand lol

-2 1/4 = 2w

Answers

Answer:

[tex]w=-9/8[/tex]

Step-by-step explanation:

We are given the equation [tex]-2 \frac{1}{4} = 2w[/tex]. To solve this equation, we can divide both sides by 2 to get that [tex]w = -2\frac{1}{4} \div 2 = -\frac{9}{8}[/tex].

Answer:

w = - [tex]\frac{9}{8}[/tex]

Step-by-step explanation:

Given

- 2 [tex]\frac{1}{4}[/tex] = 2w ( change the mixed number to an improper fraction )

- [tex]\frac{9}{4}[/tex] = 2w ( multiply both sides by 4 to clear the fraction )

- 9 = 8w ( divide both sides by 8 )

- [tex]\frac{9}{8}[/tex] = w

Please help me I am in a hurry to go somewhere so please help quick

Three sisters are each less than 45 years old. The mode of their ages is 35. The range is 14. What is the mean of their ages? The median?
a.
29.7; 35
c.
35; 30.3
b.
30.3; 28
d.
30.3; 35


Please select the best answer from the choices provided

sorry about the answer choices being mixed up im still in a hurry

Answers

Answer:

I'm so sorry I don't know this answer but good luck

Answer: since it doesn't tell you how you get it.

Since the mode of the ages is 35 we know that at least two of the ages are 35. Since the range is 14 we know the third sister is not also age 35. Let x be the age of the third sister. Then we know either 35 - x = 14 or x-35 = 14 (depending if x is younger or older, respectively). Solving both of these gives x = 21 or x = 49. But all the sisters are under the age of 45, so x = 21. Hence, the ages of the sisters are

21, 35, 35.

So, the mean is (35+35+21)/3 = 91/3 =~ 30.3333 ...

The median is 35.

A store at the mall was closing. Everything in the store was 75% off. If you
wanted to buy a $200 jacket, how much did it actually cost you? *

Answers

Answer:

the original price would be $800

Step-by-step explanation:

800-75% = 200

just use a calculator

The jacket was originally $800 :)

5x - 25 < 15 solve plz

Answers

Answer:

8

Step-by-step explanation:

you have to add 25 on both sides then you get 5x<40 then you divide 40 by 5 and you get 8

hope this helps dont 4get to like and star

-mercury

I need help, please​

Answers

Answer:

C

Step-by-step explanation:

12^2 = 144, 9^2 = 81, and 15^2 = 225.

144 + 81 = 225, therefore a^2 + b^2 = c^2.

Has to be C. The other answers are wrong

HELP NOW PLEASEEE
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week. (2 points)


No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

I’m pretty sure the answer is option c!!

6X - 2 + 5x + 7 *
what’s the answer?

Answers

Answer:

x=2.2

Step-by-step explanation:

6X - 2 + 5x + 7

add like terms

11x+5

divide 5 on both sides

x=2.2

Hope this helps dont 4get to like and star

-mercury

Answer:

11x+5

Step-by-step explanation:

6X - 2 + 5x + 7

Group like terms=6x+5x-2+7

Add similar elements=11x-2+7

Add Subtract the numbers=11x+5

What are the answers to these aswell mb?

Answers

Answer:

4 is D = 23

Step-by-step explanation:

the coefficient is the number before the letter

Please answer this for me!
6 X 10^-5 is how many times the value of 3 X 10^-8

Any number that has this, ^, beside it stands for upper score, meaning that it is has an exponent which is the number right after it.


And I already asked this question on here before but 4 some reason someone literally typed THEIR essay on Branches of Islam or something, and also something about Muslim religion. Where did that come from lol?

Answers

Answer:

= 4.4591 × 1010

(scientific notation)

= 4.4591^10

= 44.591 × 109

Its actually pretty hard, so I don't really want to show my explanations with words, but there is a number explanation. Sorry if this is wrong. It is pretty hard, since you asked lots of times, I tried to give it a go.

6 X 10^-5 is 2*10^3 times the value of 3 X 10^-8.

6 X 10^-5 is how many times the value of 3 X 10^-8 is to be determined.


What is the fraction?

Fraction is defined as the number of compositions that constitute the whole.

Let 6 X 10^-5 is x  times the value of 3 X 10^-8.


[tex]6 * 10^{-5}= x 3 * 10^{-8}\\\\x = \frac{6 * 10^{-5}}{3 * 10^{-8}} \\\\x = 2 *10^3[/tex]

Thus, 6 X 10^-5 is 2*10^3  times the value of 3 X 10^-8.

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is -7+9y+7=2x a direct variation and if so what is the constant?

Answers

Answer:

yes constant; 65

Step-by-step explanation:

Christian burns 4 1/2 calories in 2/3 if a minutes riding his bike. HOW MANY CALORIES WILL CHRISTAN BURN IN 1 MINUTE OF BIKE RIDING? SELECT THE CORRECT ANSWER.

Answers

Answer:

The answer is 6.75 calories or [tex]6 \frac{3}{4}[/tex]

Step-by-step explanation:

First, we need to find out how many calories per 1/3 minute.

4 1/2 divided by 2 = 2 1/4 or 2.25

2 1/4 or 2.25 x 3 = [tex]6 \frac{3}{4}[/tex] or 6.75 calories

Mark as Brainliest!

#LearnWithBrainly

Convert - 3. - 3. - 3 to exponential form. ​

Answers

Answer:

-3 {3}

Step-by-step explanation:

:D

Find each Of change. Round to the nearest whole percent if necessary. State whether the percent Of change is an increase or 1. Original; 5. Original: Cm • Chqter 2. Original: new: 1.3 6. Original; 160 new: 136 g. Original; 15 new : 12 7. Original: 7, 7 new: 10 , 5 4. Original: $30 new: $18 8. Original: 9.6 new: 5.9 31

Answers

Answer:

1. The percentage change is 74% and it is a percentage decrease

2. The percentage change is 15% and it is a percentage decrease

3. The percentage change is 20% and it is a percentage decrease

4. The percentage change is 43% and it is a percentage increase

5. The percentage change is 40% and it is a percentage decrease

6. The percentage change is 39% and it is a percentage decrease

Step-by-step explanation:

Given

[tex]1.\ Original = 5; New = 1.3[/tex]

[tex]2.\ Original = 160; New = 136[/tex]

[tex]3.\ Original = 15; New = 12[/tex]

[tex]4.\ Original = 7; New = 10[/tex]

[tex]5.\ Original = $30; New = $18[/tex]

[tex]6.\ Original = 9.6; New = 5.9[/tex]

Required

Determine the percentage change and state whether it's an increase or decrease

Percentage change is calculated as:

[tex]\%Change = \frac{New - Original}{Original} * 100\%[/tex]

[tex]1.\ Original = 5; New = 1.3[/tex]

[tex]\%Change = \frac{1.3 - 5}{1.3} * 100\%[/tex]

[tex]\%Change = \frac{-3.7}5} * 100\%[/tex]

[tex]\%Change = \frac{-3.7 * 100\%}{5}[/tex]

[tex]\%Change = \frac{-370\%}{5}[/tex]

[tex]\%Change = -74\%[/tex]

The percentage change is 74% and it is a percentage decrease

[tex]2.\ Original = 160; New = 136[/tex]

[tex]\%Change = \frac{136 - 160}{160} * 100\%[/tex]

[tex]\%Change = \frac{-24}{160} * 100\%[/tex]

[tex]\%Change = \frac{-24 * 100\%}{160}[/tex]

[tex]\%Change = \frac{-2400\%}{160}[/tex]

[tex]\%Change = -15\%[/tex]

The percentage change is 15% and it is a percentage decrease

[tex]3.\ Original = 15; New = 12[/tex]

[tex]\%Change = \frac{12- 15}{15} * 100\%[/tex]

[tex]\%Change = \frac{-3}{15} * 100\%[/tex]

[tex]\%Change = \frac{-3* 100\%}{15}[/tex]

[tex]\%Change = \frac{-300\%}{15}[/tex]

[tex]\%Change = -20\%[/tex]

The percentage change is 20% and it is a percentage decrease

[tex]4.\ Original = 7; New = 10[/tex]

[tex]\%Change = \frac{10- 7}{7} * 100\%[/tex]

[tex]\%Change = \frac{3}{7} * 100\%[/tex]

[tex]\%Change = \frac{3* 100\%}{7}[/tex]

[tex]\%Change = \frac{300\%}{7}[/tex]

[tex]\%Change = 43\%[/tex] -- (approximated)

The percentage change is 43% and it is a percentage increase

[tex]5.\ Original = $30; New = $18[/tex]

[tex]\%Change = \frac{18- 30}{30} * 100\%[/tex]

[tex]\%Change = \frac{-12}{30} * 100\%[/tex]

[tex]\%Change = \frac{-12* 100\%}{30}[/tex]

[tex]\%Change = \frac{-1200\%}{30}[/tex]

[tex]\%Change = -40\%}[/tex]

The percentage change is 40% and it is a percentage decrease

[tex]6.\ Original = 9.6; New = 5.9[/tex]

[tex]\%Change = \frac{5.9- 9.6}{9.6} * 100\%[/tex]

[tex]\%Change = \frac{-3.7}{9.6} * 100\%[/tex]

[tex]\%Change = \frac{-3.7* 100\%}{9.6}[/tex]

[tex]\%Change = \frac{-370\%}{9.6}[/tex]

[tex]\%Change = -39\%[/tex] -- (approximated)

The percentage change is 39% and it is a percentage decrease

A submarine started at the surface of the water and was moving at -15 meters per minute. The submarine traveled at this rate for 48 minutes before coming to rest on the ocean floor. What is the change in the submarine position?

Answers

Given :

A submarine started at the surface of the water and was moving at -15 meters per minute.

The submarine traveled at this rate for 48 minutes before coming to rest on the ocean floor.

To Find :

The change in the submarine position.

Solution :

We need to find the position of submarine position from the surface of water.

Distance travelled =  Speed × Time

Distance travelled = -15 m/min × 48 min

Distance travelled = 720 m

Therefore, the position of submarine is 720 m below the surface of ocean.

Triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″. If vertex P is at (3, -4) and vertex Q is at (5, -1), what are the coordinates of vertices P″ and Q″?

Answers

Answer:

Answer:  The correct option is (D) P″(9, -12) and Q″(15, -3).

Step-by-step explanation:  Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.

The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.

We are to find the co-ordinates of the vertices P″ and Q″.

Case I :  ΔPQR dilated to ΔP'Q'R'

The co-ordinates of P' and Q' are given by

Case II :  ΔP'Q'R' dilated to ΔP''Q''R''

The co-ordinates of P'' and Q'' are given by

Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).

Option (D) is CORRECT.

Step-by-step explanation:

The density of a substance is 3.4 g cm-3. Its relative density relative to another substance is 2.0. what is the density of the second substance?​

Answers

Answer:  The density of the second substance = [tex]1.7\text{ g cm}^{-3}[/tex]

Step-by-step explanation:

[tex]\text{Relative density }=\dfrac{\text{Density of substance}}{\text{Density of reference}}[/tex]

Given: Density of a substance is [tex]3.4 \text{ g cm}^{-3}[/tex] .

Its relative density relation to another substance = 2.0

Substitute all values in the formula , we get

[tex]2=\dfrac{3.4}{\text{Density of reference}}\\\\\Rightarrow\ {\text{Density of reference}=\dfrac{3.4}{2}\\\\\Rightarrow\ {\text{Density of reference}=1.7 \text{ g cm}^{-3}[/tex]

Hence, the density of the second substance = [tex]1.7\text{ g cm}^{-3}[/tex]

EXPLAIN THIS FORMULA PLS HELP ME ​

Answers

it means

wdwedwefqwerf

please someone help me

Answers

Answer:

56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

got it from person above me have nice day

Helppppppppp pleaseee ASAP ​

Answers

Answer:

3

Step-by-step explanation:

Given that:

Larger square is a dilation of smaller square

Dimension of smaller square (5 - 3) units by (5 - 3) units = 2 by 2

Dimension of larger square (7 - 1) units by (7 - 1) units = 6 by 6

Hence, the scale factor used to create the larger square from the smaller square will be:

Scale factor (x) * side of smaller square = side of larger square

x * 2 = 6

2x = 6

x = 6/2

x = 3

Hence, scale factor used to generate larger square is 3

The father is three times as old as his son, Joe. Joe is four years older than his sister, Alexa. Alexa is twice as old as Rocky. Let R equal Rocky's age. Write an algebraic expression. Please Help!

Answers

Answer:

R=(F/3-4)/2

Step-by-step explanation:

Father = F

Joe = J

Alexa = A

R= Rocky

F=3J

A+4=J

A=2R

F/3=J

A=J-4

A=F/3-4

2R=F/3-4

R=(F/3-4)/2

Hope this helps!

The measurement of the “ridge” of your new house on blueprints is 24 inches. If the scale is 1/4 = 1ft how long is the wall in real life

Answers

Answer:

In real the wall will be: 96 ft

Step-by-step explanation:

Given that the scale is

1/4 = 1ft

It means 1 inch will represent 4 ft.

so

1 inch = 4ft

Given that the measurement of the “ridge” of your new house on blueprints is 24 inches.

Thus,

24 inches = 24 × 4ft           ∵ 1 inch = 4ft

                = 96 ft              

Therefore, in real the wall will be: 96 ft

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