(17-2) Dustin is buying carpet for the living room. If the length of the room is 21 ft and the width
is 11 ft, how many square feet of carpet does he need to buy?

Answer:

d = 4/9

Step-by-step explanation:

[tex]9d+2d+3d-4=5d\\ 14d-4=5d\\ 14d=5d+4\\ 9d=4\\ d=\frac{4}{9}[/tex]      

Answer:

d=4/9

Step-by-step explanation:

Answer:

5240

Step-by-step explanation:

[tex]\frac{1572}{0.3} = \frac{1572 * 10}{3} = 524 * 10 = 5240[/tex]

When the number 1,572 is divided by 0.3, then the resultant division will be 5,240.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

1572 divided by 0.3. Then the expression will be

⇒ 1,572 / 0.3

Simplify the expression, then the value of the expression will be

⇒ 15,720 / 3

⇒ 5,240

When the number 1,572 is divided by 0.3, then the resultant division will be 5,240.

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Answer: its D

Step-by-step explanation: i cant really explain it but its D

Answer:

The price of the computer is $1,152

Step-by-step explanation:

Let the price of the computer be $x

The first boy boy had 7/8 of this amount, the amount he has is thus 7/8 × $x = 7x/8

The second boy had 5/6 of what the first boy had. The amount of money he has is thus 5/6 × 7x/8 = 35x/48

Now, the addition of what they have is $696 more than what they need to pay. This amount is x+ 696

Mathematically, this can be represented as;

7x/8 + 35x/48 = x + 696

(42x + 35x)/48 = (x + 696)

77x/48 = (x + 696)

77x = 48(x + 696)

77x = 48x + 33408

77x - 48x = 33408

29x = 33, 408

x = 33,408/29

x = $1,152

We have been given an equation [tex]gv=-3x +5[/tex]. We are asked to solve our given equation for x.

First of all, we will separate expression with x on one side of equation. We can do it by subtracting 5 from both sides of equation.

[tex]gv-5=-3x +5-5[/tex]

[tex]gv-5=-3x[/tex]

Now we will switch the sides as:

[tex]-3x=gv-5[/tex]

Now we will divide both sides by [tex]-3[/tex] as:

[tex]\frac{-3x}{-3}=\frac{gv-5}{-3}[/tex]

[tex]x=-\frac{gv-5}{3}[/tex]

Therefore, the value of x would be [tex]-\frac{gv-5}{3}[/tex].

Answer:

the first one is add 1/2x to both sides and for the second one is multiply both sides by 6/7

Step-by-step explanation: i did it  

Answer:

(a+5)(a+3)

Step-by-step explanation:

a²+8a+15

=a²+3a+5a+15

=a(a+3)+5(a+3)

(a+5)(a+3)

hope this helps

plzz mark me brainliest

Answer:

factor the trinomial a^2-8a+15 using th ac method.

Step-by-step explanation:

(a+3) (a+5)

Answer:

The answer is 0.375 hours

Step-by-step explanation:

Answer:

22.5 minutes

Step-by-step explanation:

which the top guy accidently made in decimal of an hour

Answer:

The answer is A.

The value of the 1 in the one's place is 10 times​ the value of the 1 in the tenths place.

Step-by-step explanation:

Answer:

The value of the 1 in the one's place is 10 times​ the value of the 1 in the tenths place.

Answer: Eliana should add 9 cups of fertilizer to the pot.

Step-by-step explanation:

Given , Eliana always adds 3 cups of fertilizer for every 8 cups of soil. .

As the quantity of fertilizer is proportional to the quantity of soil.

That means,

[tex]\dfrac{\text{Number of cups of fertilizer for 24 cups of soil}}{\text{24}}=\dfrac{\text{Number of cups of fertilizer for 8 cups of soil}}{8}\\\\\Rightarrow \dfrac{\text{Number of cups of fertilizer for 24 cups of soil}}{24}=\dfrac{3}{8}[/tex]

Multiply 24 on both sides , we get

[tex]\Rightarrow\ \text{Number of cups of fertilizer for 24 cups of soil}=\dfrac{3}{8}\times24=3\times3=9[/tex]

Hence, Eliana should add 9 cups of fertilizer to the pot.

Eliana should add 9 cups of fertilizer to the pot.

To determine how many cups of fertilizer Eliana should add to the pot, we can use the given ratio of 3 cups of fertilizer for every 8 cups of soil. Since Eliana filled the pot with 24 cups of soil, we can set up the following proportion:

3 cups of fertilizer / 8 cups of soil = x cups of fertilizer / 24 cups of soil

By cross-multiplying and solving for x, we find that Eliana should add 9 cups of fertilizer to the pot.

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Answer:

a = 6

Step-by-step explanation:

-6(2 + a) = -48

it is basically 2 steps

Divide by -6 first

(2 + a) = -48 / -6

2 + a = 8

minus the 2

a =6

Answer:

30

Step-by-step explanation:

We have to find the value of x in the given equation.

Answer:

20/8 pounds or equivalently 10/4 or 5/2

Step-by-step explanation:

4*5/8=(4*5)/8=20/8

We have been given that in ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. We are asked to find the length of IJ to the nearest tenth of a foot.

First of all, we will draw a right triangle using our given information as shown in the attachment.  

We can see that in triangle HIJ, the side IJ is adjacent side to angle I and JH is opposite side to angle I.

We know that tangent relates opposite side of right triangle to adjacent side.

[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

[tex]\text{tan}(29^{\circ})=\frac{88}{IJ}[/tex]

[tex]IJ=\frac{88}{\text{tan}(29^{\circ})}[/tex]

[tex]IJ=\frac{88}{0.554309051453}[/tex]

[tex]IJ=158.7562024638191237[/tex]

Upon rounding to nearest tenth, we will get:

[tex]IJ\approx 158.8[/tex]

Therefore, the length of the side IJ is approximately 258.8 units.

Answer:

it's 158.8

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Trust me.

I just did it.

The correct statement is:

In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57).

Option D is the correct answer.

A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.

It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.

We have,

The 98% confidence interval for the proportion of residents in favor of having more public parks in the county is 0.54 ± 0.03.

This means that we are 98% confident that the true proportion of residents in favor of having more public parks in the county falls within the interval from 0.51 to 0.57.

Now,

The correct statement is:

In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57).

Option a is incorrect because we cannot determine whether the majority of residents are in favor of having more public parks based solely on the confidence interval.

Option b is incorrect because we cannot determine whether the estimate of 0.54 is within 0.03 of the true proportion of county residents in favor of having more public parks based solely on the confidence interval.

Option c is incorrect because it is a statement about the probability of the sample proportion falling within the interval in repeated sampling, which is not the same as the true proportion falling within the interval.

Option e is incorrect because it is a statement about the probability of the true proportion being equal to 0.54 in repeated sampling, which is not necessarily true based solely on the confidence interval.

Thus,

The correct statement is:

In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57).

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Answer:

A plain pizza is $10.50. A pepperoni pizza is $12.50.

Step-by-step explanation:

Solve a system of equations. Call x the price of plain pizzas and y the price of pepperoni pizzas. From the question we are told that for Jack:

[tex]58.50=2x+3y[/tex]

And for Jill:

[tex]67=4x+2y[/tex]

There are several ways to solve this. I'll used elimination. Multiply the first equation by 2:

[tex]117=4x+6y[/tex]

Now subtract the second equation from the first - this will get rid of the x, leaving only y, which can be solved for:

[tex](117-67)=(4x-4x)+(6y-2y)\\50=4y\\y=12.5[/tex]

Now sub the value for y into either of the original equations and solve for x. I'll use the first:

[tex]58.5=2x+3(12.5)\\58.5=2x+37.5\\21=2x\\x=10.5[/tex]

Answer:

One plain pizza would be $10.50 and one pepperoni pizza would be $12.50.

Answer:

Volume = 202.5 cubic feet

Step-by-step explanation:

Given that the aquarium is in the shape of a right rectangular prism in which

Length L = 6 1/4 feet

Width W = 7 1/5 feet

Height H = 4 1/2 feet

Volume = L × B × H

Volume = 25/4 × 36/5 × 9/2

Volume = 5 × 9 × 4.5

Volume = 202.5 cubic feet

Answer:

She should order 96 orange shirts  

Step-by-step explanation:

The picture is shown below.

From the picture below Joan sold 10 blue shirts, 3 gray shirts , 5 orange shirts and 8 green shirts out of the colored Shirts. The ratio of the colored shirt sold are 10 : 3 : 5 : 8 . The total shirt sold that week is 10 + 3 + 5 + 8 = 26 colored shirts.

If she assumes the trend is going to continue the number of orange she should order can be calculated below.

Let us find the ratio of orange shirt sold to the total colored shirt sold.

orange shirt sold / total colored shirt sold  = 5/26

This means every group of 26 colored shirts sold will have 5 orange shirt . So they told us she requested a total of 500 colored shirts . Following the same trend, how many group of 26 colored shirt are in 500.  

5/26 = x/ 500

cross multiply

2500 = 26x

divide both sides by 26

x = 2500/26

x = 96.15

x = 96 orange shirts

She should order 96 orange shirts  

Answer:

The answer would be B) 96 orange shirts is the answer

Step-by-step explanation:

Answer:

∠G = 62

Step-by-step explanation:

Because Figure GHIJ is a Parallelogram, angle G and H are supplementary, which means that together, they add up to 180, so 180 - 118 = 62

Please mark as brainliest :)

Answer:

A

Step-by-step explanation:

A parcent as a fraction would be /100. So the answer would not be C or D. And since it isn't B, the answer is only A

Answer:

Your going to cross multiply

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

1.5

i

1.5i

The value of the expression after simplifying √2.25 is 3/2.

We have,

An expression contains one or more terms with addition, subtraction, multiplication, and division.

Expression:

√2.25

Convert 2.25 into a fraction.

2.25 = 225/100 = 15²/10²

Now,

Substitute 15²/10² into the expression.

Simplifying the expression.

√(15/10)²

=15/10

Take out the common factors.

= 3 x 5 / 5 x 2

= 3/2

This is the fraction in simplest form.

= 3/2

Thus,

The value of the expression after simplifying √2.25 is 3/2.

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Answer:

im pretty sure the answers are

6) c

7) c

8) c

9) a

Step-by-step explanation:

Answer: im pretty sure the answers are

6) c

7) c

8) c

9) a

Step-by-step explanation:

Answer:

I am pretty sure the answer is 10: 12 have a great day.

Step-by-step explanation:

Answer:

4 × 103

Step-by-step explanation:

be grateful i helped u

Answer-4000

Step-by-step explanation:

4× 10×10×10

4000

Answer:

Area = 25.12 square units.

Perimeter = 20.56  units

Step-by-step explanation:

If you are looking for area, here goes:

Area of circle = π * r^2  

Area of semi-circle = S = (1/2) *π * r^2

S =  (1/2)*π*(4^2) = (1/2)π*16 = 8π square units = 25.12 square units

Or if you are looking for the perimeter:

Circumference C = 2*π*r

Half-circumference =  (1/2)C = (1/2)*2*π*r =  π*r = π*4

Perimeter of semi-circle =  4 + 4 + 4π = 8 + 4π

Answer:

Step-by-step explanation:

Answer:

60500

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = 7 - 4 = 3, thus

[tex]S_{200}[/tex] = [tex]\frac{200}{2}[/tex] [ (2 × 4) + (199 × 3) ]

      = 100(8 + 597)

      = 100 × 605

      = 60500

Answer:

heat the air

Step-by-step explanation:

Lightning is just a high-intensity amount of electricity. Picture zapping something with electricity: it doesn't get cold, it gets hot.

That's because when a current is passed through something, it has more energy, so the molecules start to vibrate faster and move around much faster than they were before, which causes friction and a buildup of heat.

Answer:

HEAT THE AIR

Step-by-step explanation:

Lightning is just a high-intensity amount of electricity. Picture zapping something with electricity: it doesn't get cold, it gets hot.

That's because when a current is passed through something, it has more energy, so the molecules start to vibrate faster and move around much faster than they were before, which causes friction and a buildup of heat.

To find 1/8 divided by 3/5, we can use the reciprocal of 3/5

The reciprocal of a number a is another number that, when multiplied by a, gives a product of 1. In other words, the reciprocal of a is 1/a.

To find 1/8 divided by 3/5, we can use the reciprocal of 3/5, which is 5/3.

Then, we can multiply 1/8 by 5/3:

(1/8) x (5/3) = 5/24

Therefore, 1/8 divided by 3/5 is equal to 5/24.

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To divide 1/8 by 3/5, multiply 1/8 by the reciprocal of 3/5, which is 5/3. The result is 5/24.

To find the answer to 1/8 divided by 3/5, we use the reciprocal of the divisor, which in this case is 3/5. When you divide fractions, you essentially multiply the first fraction by the reciprocal of the second fraction. So, to find the answer to 1/8 divided by 3/5, multiply 1/8 by the reciprocal of 3/5, which is 5/3.

To calculate further, calculate the multiplication of fractions by multiplying the numerators (the top numbers) to get the numerator of the answer, and multiply the denominators (the bottom numbers) to get the denominator of the answer. The result is 5/24.

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Answer:

1.5

Step-by-step explanation:

just did it

the correct answer is 1.5, i hope this helps u :D

Answer:

96% probability that the test result is correct

Step-by-step explanation:

We have these following probabilities:

2.3% probability that a randomly selected light is defective.

If the light is defective, 94% probability that the test result is correct.

100-2.3 = 97.7% probability that a randomly selected light is not defective.

If the light is not defective, 96% probability that the test result is correct.

What is the probability that the test result is correct?

94% of 2.3% and 96% of 97.7%. So

p = 0.94*0.023 + 0.96*0.977 = 0.96

96% probability that the test result is correct

Answer:

  π/2 units to the left

Step-by-step explanation:

To shift a function to the right by h units, replace x with (x -h). Here, the value of h is -π/2, so the function is shifted the opposite of right.

The function is shifted to the left by π/2 units.