A model of a house is 6 inch wide and 8 inches long. If the actual house is
20 yards long, how wide is the actual house?
OA) 2.4 yd
OB) 4.8 yd
OC) 15 yd
OD 26 yd

Using proportions, considering the daily penalty fee paid, it is found that he will pay $50 altogether.

A proportion is a fraction of a total amount.

In this problem, since he will spend $285.00, having $277.00, he will be $8.00 in debt.

He will pay a penalty fee of $7.00 per day for 6 days, along with the $8.00, hence the total payment in dollars will be given by:

P = 6 x $7.00 + $8.00 = $50.00.

More can be learned about proportions at https://brainly.com/question/24372153

Answer in order:

False

True

False

False

False

False

False

True

True

Step-by-step explanation:

All of the solutions to the equation[tex]3x^2 - 12 = 0[/tex]are x = 12 and x = -12

Solve:

Common factor - [tex]3(x^2-4)=0[/tex]

Divide both sides

[tex]x^2-4=0[/tex]

Use the quadratic formula

[tex]x=\sqrt{4,x}=\sqrt{-4[/tex]

x = 2, x = -2

Thus, This is false..

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There are two unique solutions to the equations (x-3)^2 = 16

one variable in matrix = one possible value.

Therefore, x = 7, x = -1

Hence this is True

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The solutions for the equation 2(x-3)^2-18 = 0 are x = 6 and x = 0

[tex]2x^3-18x^2+54x-72=0[/tex]

[tex]x=5.080084[/tex]

Hence this is false

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The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7

Add both sides by 8

2(x-5)^2-8+8=0+8

2(x-5)^2=8

(x-5)^2=4

x = 7, x = 3

Hence, this is false

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The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8

[tex](x+3)^2=17[/tex]

[tex]x=\sqrt{17-3,}=-\sqrt{17}-3[/tex]

Hence this is false.

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The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4

[tex](2x-1)^2=9[/tex]

x=2, x = -1

Hence this is false.

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The only solution for equation (2x-1)^2-49=0 is x = 4

[tex](2x-1)^2=49[/tex]

x = 4, x = -3

Hence, this is false

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The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1

[tex]3(x+2)^2=3[/tex]

[tex](x+2)^2=1[/tex]

x = -1, x = -3

Hence, this is true

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The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x  = -6

Add 180 to both sides

[tex]5x^2-180+180=0+180[/tex]

[tex]5x^2 = 180[/tex]

[tex]x^2 = 36[/tex]

[tex]x=\sqrt{36},x=-\sqrt{36}[/tex]

x = 6, x = -6

Hence, this is true.

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[RevyBreeze]

Answer:

15.4 minutes :)

Step-by-step explanation:

We need to turn the percentage into a decimal first :)

27/100 = 0.27

Now we multiply it by 57 to see how much time has gone by!! :)

0.27 x 57 = 15.39

Now to finish, we round!

9> 5

So 3 becomes 4

She has been on the treadmill for 15.4 minutes!

Now you know how to solve this type of problem!!

Have an amazing day!!

Please rate and mark brainliest!!

The number of ways the first group of three wolves (necessary to include the male wolf) is given by: Option A: 28

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

For the considered case, we have:

So 2 spaces are remaining and are to be filled by 2 of 8 wolves.

Assuming that all 8 of them are distinguishable, choosing 2 of them is done in [tex]^8C_2 = 28[/tex] ways.

The first process of choosing male wolf for first place is done in 1 way only.

And the second process of choosing 2 female wolves can be done in 28 ways(ordering doesn't matter),

and since first and second process have no necessary order, using product rule, we get;

Number of ways of forming first group of wolves = [tex]1 \times 28 = 28[/tex] ways.

Thus, the number of ways the first group of three wolves (necessary to include the male wolf) is given by: Option A: 28

Learn more about product rule here:

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Answer:

The above answer is correct! The right answer is option A. 28 :)

Hope this helped! Brainliest would be greatly appreciated :D

Step-by-step explanation:

[tex]x^2+2x\\\\\text{If x = 3,}\\\\3^2 + 2(3) = 9 + 6 = 15[/tex]

Answer:

sh 5 coins=80

sh 10 coins=20

Answer:

$7886.16

Step-by-step explanation:

If the balance increases by 4%, it will be 104% of the original amount.  104% as a decimal is 1.04.  Therefore, to calculate the balance with annual compound interest applied, multiply the balance of the account by 1.04 each year.

As Hei makes additional deposits of $1,400 for each year after the 1st year, add $1,400 to the account balance from year 2 onwards before adding the interest.

Let A = account balance

After 1 year

A = 1400 × 1.04 = $1456

After 2 years

A = (1456 + 1400) × 1.04 = $2970.24

After 3 years

A = (2970.24 + 1400) × 1.04 = $4545.05

After 4 years

A = (4545.05 + 1400) × 1.04 = $6182.85

After 5 years

A = (6182.85 + 1400) × 1.04 = $7886.16

Therefore, after 5 years her account balance will be $7886.16

Answer:

The answer is D) eighteen thirds.

Step-by-step explanation:

9/1 times 2/3

equals 18/3

18/3 is "eighteen thirds"

Answer:

Step-by-step explanation:

605/11 = x/5

11x = 3025

x = 275 miles

Answer:

275 miles

Step-by-step explanation:

Bill drove 605 miles in 11 hours , so by the formula , Speed = Distance/ time

We can find that ,

Speed = 55 miles/hours

So , In 5 hours he will drive

Distance = Speed × Time

Distance = 55 × 11

Distance = 275 miles

Answer: B. 4

Sorry for the really late answer

Step-by-step explanation:

If the radius of a right circular cylinder is multiplied by k, and its height does not change, then the volume of the cylinder is multiplied by k². The radius of can Q is twice as great as the radius of can p. Therefor, the volume of can Q is 2², or 4 times larger than the volume of can p.

Answer:

10(x - 12)

Step-by-step explanation:

10(x - 12)

10x - 120 Distributive Property

Answer:

should be 42

Step-by-step explanation:

Answer:

what is 2dimes and one nickle and one quarter makes

-6

Step-by-step explanation:

First we see 3 is greater than the subject so 3<x 3-9 = -6

Step-by-step explanation:

class 6 to 8 students come here I will give you notes class is started come here fast I am waiting come with your name and class i am also girl come please please please please please please

Answer:

148°or 4x

Step-by-step explanation:

For a four sided Polygon (quatrilateral) the measure of four angles=360

Therefore,

2x+3x+4x +(x -10)=360

9x+x-10=360

10x-10=360

10x=360+10

10x=370

x=37

Therefore all angles are

74, 111, 148, 27

Therefore, largest angle = 148°

Answer:

90°

Step-by-step explanation:

Triangle ACD has one vertex on the circle, and the other two at the opposite ends of a diameter. It is then a right triangle.

One way of thinking of it is the fact that angle AFC measures 180°, and all angles that have end points on the same arc (in our case, the part of arc AC on the bottom right part of the circle)and vertexes on the circle measure half of it, or 90°

Answer:

90

Step-by-step explanation:

since AC is a diameter and hypothenus of ADC

so triangle ADC is a right triangle

so angle ADC = 90°

Answer:

  x = 43°

Step-by-step explanation:

The three angles to the right of the diagonal line add up to give the angle measure of the line:

  x +90° +47° = 180°

  x = 43° . . . . . . . . . . . . . subtract 137° from both sides

Eukaryotic cells have a true membrane-bound nucleus and prokaryotes do not.

Eukaryotic cells are larger than prokaryotic cells and have a “true” nucleus, membrane-bound organelles, and rod-shaped chromosomes. The nucleus houses the cell's DNA and directs the synthesis of proteins and ribosomes.

All cells have a plasma membrane, ribosomes, cytoplasm, and DNA. Prokaryotic cells lack a nucleus and membrane-bound structures. Eukaryotic cells have a nucleus and membrane-bound structures called organelles.

So..the answer should be Eukaryotic cells have a true membrane-bound nucleus and prokaryotes do not.

To know more about Cells follow

https://brainly.com/question/13920046

Answer:

Prokaryotes

✔ do not have

a nucleus surrounding their chromosome of DNA.

Prokaryotes are

✔ more

simple cells than eukaryotes.

Prokaryotes have a

✔ cell wall

outside their cell membrane that gives protection and support.

Prokaryotes will often move by a tail-like

✔ flagellum

.

Step-by-step explanation:

The circumference of a circle that was computed when the diameter is 3cm will be 9.426cm.

The circumference of a circle of gotten by the formula:

C = 2πr or πd

where,

r = radius

d = diameter

Since the diameter is given as 3cm, the circumference will be:

= πd

= 3.142 × 3

= 9.426cm

In conclusion, the circumference of the circle is 9.426cm.

Learn more about circle on:

https://brainly.com/question/25938130

Answer:

Step-by-step explanation:

Answer: She.Was.Playing.By.Ear

Answer:

3x+45=180

3x=180-45

x=135/3

x=45

(y-4)=45

y=45+4

y=49

Answer:

x=45° and y=49° (180°in a straight line, co-interior angles add up to 180°)

Step-by-step explanation:

There are 180° in a straight line so 180°-45=135, 135=3x

135 divided by 3= 45, so x=45°, then because co-interior angles always add up to 180°, 45+ the missing angle=180, 180-45=135, so the angle next to angle (y-4) is 135°.

Then, solving the equation u have 135+(y-4)=180 because there are 180° in a straight line.

The equation ends up as y=49°

[tex]\dfrac{0.63}{0.21}=\dfrac{0.63 \times 100}{0.21 \times 100}=\dfrac{63}{21}=\dfrac{21 \times 3}{21}=3[/tex]

Answer: in the file

Step-by-step explanation: in the file

Answer:

She has about 2 choices

Step-by-step explanation:

7 ÷ 3 ≈ 2.3

≈ 2

Answer: I think its 8

Step-by-step explanation:

Answer:

1/64

Step-by-step explanation:

The probability of both dice being a 1 is 1/8 * 1/8 = 1/64

Answer:

x∈[20/3;+∝).

Step-by-step explanation:

3x+10≥30; ⇔ 3x≥20; ⇔ x≥20/3

Answer:

The maximum profit is $854

Step-by-step explanation:

Profit is the difference between the revenue and the cost price of an item. It is given by:

Profit = selling price - cost price

Since x represent the profit made by the company, is related to the selling price of each widget, x and it is given by the formula:

y = -3x² + 155x - 1148

At maximum profit, dy/dx = 0, hence:

dy/dx = -6x + 155

0 = -6x + 155

6x = 155

x = 25.83

The maximum profit is at gotten when the selling price of each widget is 25.83. Hence:

y = -3(25.83)² - 155(25.83) - 1148

y = $854

Therefore the maximum profit is $854

Answer:

A

Step-by-step explanation:

(1.7x10²³) and (3.4x10²³) cancel into 0.5.

0.5(8x10^-14) = 4x10^-14

Answer:

13.6x/3.4 x 10^14 This is a fraction by the way hope this helps

Step-by-step explanation:

13.6

x

3.4

⋅

10

14

Answer:

Evaporation is when liquid turns into a gas or vapor.

This process happens to almost any body of water under the right conditions, including swimming pools.

This means, as a pool owner, you lose a measurable amount of pool water every day through evaporation. Several thousands of gallons of water per year for an average residential pool, in fact.

Step-by-step explanation:

Answer:

1 3/20

Step-by-step explanation: