Millie has a rectangular pen for her dog that measures 10 ft wide by 12 ft long. She wants to increase the area to 168 ft by increasing
the width and length by the same amount, X.
Which equation can be used to find x?

Answers

Answer 1

Answer:

Increasing both by the same amount of 2

Step-by-step explanation:

10 times 12=120,

and 11 times 13=143,

but 12 times 14 =168

Answer 2

An equation is formed of two equal expressions. The equation that can be used to find the value of x is x²+22x-168=0.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Millie has a rectangular pen for her dog that measures 10 ft wide by 12 ft long. Now, she needs to increase the area by 168 ft, that too by increasing the width and length by the same amount. Therefore, the equation can be written as,

[tex](10+x) \times (12+x) = (10 \times 12) + 168\\\\120 + 10x+ 12x +x ^2 = 120+168\\\\120 + 22x+x^2=120+168\\\\x^2+22x-168 = 0[/tex]

Hence, the equation that can be used to find the value of x is x²+22x-168=0.

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Related Questions

Which number is divisible by 3

Answers

Answer:

6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,...

Step-by-step explanation:

I NEED HELP PLZZZZZZZ !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6.28 yards

Step-by-step explanation:

C=3.14(2 yards)

Answer:

6.28 is the answer

Can someone help me find the solution or coordinates of these equations algebraically ?

y= -x^2 +4
y= 3x+4

Answers

Answer:

The solutions are (0, 4) and (-3, -5).

Step-by-step explanation:

Yes, first substitute y = 3x + 4 in the first equation:

3x + 4 = -x^2 + 4

x^2 + 3x = 0

x(x + 3) = 0

x = 0, -3

When x = 0 , y = -(0)^2 + 4 = 4 and

when x = -3 , y = -(-3)^2  + 4 = -9 + 4 = -5.


The product of x and 6 is less than or equal to -17.

Answers

The answer is:
6x < -17
But the less than sign has a line underneath.

PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Let ABCD be a trapezoid with bases AB and CD. Let AD=5 and BC=7, and let P be a point on side CD such that CP/PD=7/5. Let X,Y be the feet of the altitudes from P to AD, BC respectively. Show that PX=PY.

Answers

Answer:

I think you should google this because I found the answer there and i am not able to put the link here sorry :(.

Step-by-step explanation:

In a lab, a colony of 100 bacteria is placed on a petri dish. The population triples every hour.

1. How would you estimate the population of bacteria in. Make the minutes into a decimal and tell me what to substitute. Be specific on what you would do

a. 90 minutes?

b. 30 minutes?

2. How would you estimate the number of hours it would take the population to grow to 1,000 bacteria. Be specific on what you would do.

Reply as answers 1a, 1b, 2.

Answers

Answer:

1.a 519.615

1.b 173.21

2. It would take approximately 2.1 minutes

Step-by-step explanation:

If the population triples every hour then after one hour the population must be:

population(0) = 100

population(1) = 100*3 = population(0)*3

After two hours:

population(2) = population(1)*3 = population(0)*3*3 = population(0)*3²

After three hours:

population(3) = population(2)*3 = population(0)*3²*3 = population(0)*3³

Therefore the equation that will model the growth of the population is:

population(n) = 100*3^n

1. a.

We first need to convert the time from minutes to hours, to do that we must divide by 60. We have:

time = 90/60 = 1.5

We then apply this value in the "n" from the equation above:

population(1.5) = 100*3^(1.5) = 519.615

1.b.

We have to follow the same steps as before:

time = 30/60 = 0.5

population(0.5) = 100*3^(0.5) = 173.21

2.

We now use the same equation as before, but we want to solve for n isntead of "population". We have:

1000 = 100*(3^n)

100*(3^n) = 1000

3^n = 1000/100

3^n = 10

ln(3^n) = ln(10)

n*ln(3) = ln(10)

n = ln(10)/ln(3) = 2.095

It would take approximately 2.1 minutes

Find the area of the trapezoid

Answers

Answer:

64 ft

Step-by-step explanation:

Circle O has a circumference of 36 cm.
What is the length of the radius, m?
06 cm
18 cm
36 cm
72 cm

Answers

Answer:

5.73 The closest answer is probably 6

Step-by-step explanation:

Answer: The radius is 5.73 CM so the answer is A, 6.

Step-by-step explanation: The radius is equal to one half the diameter

Pi times the diameter equals the circumfrence. so we do

36/3.14/2

The lowest point of elevation in the United States is at Death Valley National Park in California at 282 feet below sea level. The Dead Sea in Israel is 1,360 feet below sea level. Write a division expression that could be used to find how many times greater the Dead Sea lies below sea level than Death Valley. Then determine how many times greater. Round to the nearest whole number.

Answers

Answer:437

Step-by-step explanation:I took the test

Dependent or Independent

Answers

Answer:in

Step-by-step explanation:

what is the additive inverse of 129/7?

Answers

Answer:

-129/7

Step-by-step explanation:

The additive inverse of a number is what you add to a number to create the sum of zero

129/7 + x = 0

It is the opposite of 129/7

-129/7

-129/7 is the correct answer

What is the domain of the function y= sqrt x

Answers

Answer:

So the domian of square root of x will be All real numbers greater than or equal to 0.

This can be expressed as:

[0 , ∞)

or

x ≥ 0

Answer: [tex]x\geq 0[/tex]

Step-by-step explanation:

[tex]y=\sqrt{x}[/tex]

Taking into consideration that the square root must always be equal to or greater than zero to avoid negative numbers, we conclude that the domain is;

[tex]x\geq 0[/tex]

The chart below shows the distribution of weeds in a yard.

A circle graph titled Lawn weeds. The largest proportion is crab grass, then dandelion, then clover, then chickweed.

A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.

Weed Type
Number
Dandelion
2
Clover
3
Crab Grass
2
Chickweed
2

Which explains whether or not this is a representative sample?
Yes, this is a representative sample because each type of weed is represented in the sample.
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.

Answers

Answer:

Its c,No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

• Over-reliance on oil also increases economic unpredictability. When oil prices drop, as is presently the case, the related
decline in revenue requires cuts in public spending, which hurts growth in the non-oil sector and leads to lower public
employment
-adapted from Economic Diversification in Oil-Exporting Arab Countries, International Monetary Fund (April 2016)
Which of these statements best supports this argument?
ОА. Saudi Arabia does not export enough oil.
B. Saudi Arabia's oil supply is controlled by private corporations.
C. Saudi Arabia produces too little oil.
OD
Saudi Arabia's oil supply is controlled by the government.
Reset
Next Question

Answers

Answer:

B. Saudi Arabia's oil supply is controlled by private corporations.

Step-by-step explanation:

This is the best answer and is saying they are too reliant on other countries oils.

Answer:

B

Step-by-step explanation:


MARKING BRAINLIEST
Desiree has a box of grease pencils. 8 are green, 10 are yellow, 9 are brown, and 5 are blue. What is
the probability of Desiree selecting a green grease pencil at random, replacing it back into the box, and
then selecting a yellow grease pencil?
a 5/62
b 18/64
c 5/64
d 6/20

Answers

Step-by-step explanation:

Total marbles = 8 + 9 + 10 + 5 = 32.

Probability of green pencil= 8 / 32 = 1 / 4

Probability of yellow = 10 / 32 = 5 / 16

Find the value of F and
S. Round the answer to the nearest hundredth.

Answers

Answer:

F = 1/2 OF 143

S = 1/2 OF 55 or 60

Step-by-step explanation:

did the math

5/6 = 9/c What value of c makes the ratios equal?​

Answers

Answer:

B. c = 10.8

Step-by-step explanation:

[tex] \frac{5}{6} = \frac{9}{c} \\ \\ c = \frac{9 \times 6}{5} \\ \\ c = \frac{54}{5} \\ \\ \huge \red{ \boxed{c = 10.8}}[/tex]

a large triangular piece of canvas is being used to shade a playground. The canvas measures 27 meters in height and has a base of 23 meters. how many square meters will the canvas cover

Answers

Answer:621

Step-by-step explanation:

27*23

Although. Don't. Trust. it

Answer:

621

Step-by-step explanation:

23 times 27 = answer

URGENT PLEASE HELP
Points j and k, plotted on the coordinate grid, are 2 vertices of rectangle j,k,l,m. Rectangle j,k,l,m has an area of 7 square units. Point j is located at (2,1) and point k is located at (-5,1) each vertex of the rectangle is located at a point that had integer coordinates. Which could be another vertex of the rectangle?
A: (-5,0)
B: (-5,2)
C: (1,1)
D: (2,-6)
E: (2,0)
F: (9,1)
G: (2,2)

Answers

Answer:

16 square unitsStep-by-step

Step-by-step explanation:

Find the exact area of circumference of a circle whose diameter is 8 meters. Show your work

Answers

Answer:

Circumference: 25.12

Step-by-step explanation:

Circumference = 2[tex]\pi r[/tex] or [tex]\pi d[/tex]. ( r stands for radius and d for diameter) Since pi is 3.14, 8 times 3.14 is 25.12.

3.14

x  8

25.12

(If you mean area of the circle its 50.24, circumference times 2)

Answer: 50.24

Step-by-step explanation: The circumference formula is pi (3.14) times diameter, in your case 8.

3.14 x 8 = 25.12

4) If z/3 = 6, what is z equal to?

Answers

Answer:

z/3 = 6

multiply both sides by 3

z/3 * 3 = 6*3

z = 18

Find the area of the rhombus.

Answers

Answer:

Area of rhombus = 24 m²

Step-by-step explanation:

Diagonal of rhombus is given as:

[tex] D_{1} [/tex] = 6 m

[tex] D_{2} [/tex] = 8 m

[tex]Area \: of \: rhombus = \frac{D_{1}D_{2}}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 \times 8}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 24 {m}^{2} [/tex]

Mr. Massy started baking cupcakes at 7:15 a.m. The cupcakes finished baking at 7:40 a.m. How long did it take the cupcakes to bake?

Answers

Answer:

25 minutes

Step-by-step explanation:

If the cupcakes started baking at 7:15, then it takes 25 minutes to get to 7:40.

Answer:

he took 25 min

Step-by-step explanation:

40-15 =25

Solve the equation
8/x + 3 = 1/x + 1

Answers

Answer: I got the answer of  -7/2

Step-by-step explanation:

8

x

+3=

1

x

+1

Multiply all terms by x and cancel:

8+3x=1+1x

3x+8=x+1(Simplify both sides of the equation)

3x+8−x=x+1−x(Subtract x from both sides)

2x+8=1

2x+8−8=1−8(Subtract 8 from both sides)

2x=−7

2x

2

=

−7

2

(Divide both sides by 2)

x=

−7

2

Check answers. (Plug them in to make sure they work.)

x=

−7 /2

(Works in original equation)

Answer: -7/2

Using multiplication, the equation has the solution is -7/2.

What is multiplication?

The multiplication is "the process of multiplying one number is to multiply to its certain number of times".

According to the question,

[tex]\frac{8}{x} + 3 = \frac{1}{x} +1[/tex]

[tex]\frac{(8+3x)}{x} = \frac{1+x}{x}[/tex]

8 + 3x = 1 + x        [By cancel 'x' on both denominator]

 8 - 1 = x - 3x    

   7    = -2x

   x   = - [tex]\frac{7}{2}[/tex]      

Hence, using multiplication the equation has the solution is -7/2.

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I need help with 5 and 6

Answers

I think it’s b but I’m not sure

​3√27+10 ​ What is the value of the expression?

Answers

Answer:

Exact Form:

9

3

+

10

Decimal Form:

25.58845726

Step-by-step explanation:

Please please please please please please thank please please please help me please ASAP

Answers

Answer:

4

Step-by-step explanation:

3x^2 + 2(y-1)/x+y^2

3(4)^2 + 2(3-1)/4+3^2

3x16+2x2/4+9

48+4/13

52/13

4

The following octagon is formed by removing four congruent right triangles from a rectangle. What is the total area of
the octagon?
44 cm 2
52 cm 2
10 cm 2
58 cm 2

Answers

10cm^

To find the total area of the octagon, we need to find the area of the rectangle and subtract the areas of the four congruent right triangles that were removed.

Let's assume the length of the rectangle is L and the width is W.

The area of the rectangle is L * W.

The two smaller sides of the right triangle are congruent to the width of the rectangle, which is W. The hypotenuse of each right triangle is congruent to the length of the rectangle, which is L.

The area of a right triangle is (base * height) / 2. In this case, the base is W and the height is L.

So, the area of one right triangle is (W * L) / 2.

Since there are four congruent right triangles, the total area of the right triangles is 4 * (W * L) / 2 = 2 * (W * L).

Therefore, the total area of the octagon is (L * W) - 2 * (W * L).

The total area of the octagon = L * W - 2 * W * L.

We don't know the actual values of L and W, so we cannot calculate the exact area. However, we can simplify the expression.

The total area of the octagon = L * W - 2 * W * L = LW - 2WL = LW - 2WL = LW - 2WL = LW.

Therefore, the total area of the octagon is equal to the area of the rectangle.

Maria’s height while jumping on a trampoline can be given by the equation: -16^2+16x+5

Answers

Answer:

-207.507490745

Find the surface area of the cube for 1/4

Answers

Answer:

6a^2

Step-by-step explanation:

This is the answer

"To find the surface area of a cube, use the formula: surface area = 6s^2, where s is the length of one of the sides. If you don't know the length of the sides, you can find the surface area using volume. Just find the cube root of the volume, which is equal to the length of one side of the cube."

Hope this helps!
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