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Answer:

147

Step-by-step explanation:

4/7 people in chairs

7/8 of chairs, rest are standing

8 empty chairs

empty chairs = 1/8

full chairs = 8 x 8

7/8 = 64.

4/7 = 64

1/7 = 64 / 4

1/7 = 21

7/7 = 21 x 7

7/7 = 147

There are 147 people in the room.

There are 147 people in the room.

The given is,

Four-sevenths of the people in a room are seated in seven-eighths of the chairs.

The rest of the people are standing.

there are 8 empty chairs, how many people are in the room in a room are seated in seven-eighths of the chairs.

The rest of the people are standing.

We have to determine there are 8 empty chairs, how many people are in the room.

Four-sevenths of the people.

4/7 people in chairs.

7/8 of the chairs, rest are standing

The 8 empty chairs,

The empty chairs = 1/8

The full chairs = 8 x 8

7/8 = 64.

4/7 = 64

1/7 = 64 / 4

1/7 = 21

7/7 = 21 x 7

7/7 = 147

There are 147 people in the room.

To learn more about the unknown quantity visit:

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Answer:

$21.56

Step-by-step explanation:

Cost and discount of 5 bottles

Answer:

$21.56

Step-by-step explanation:

Original cost of one bottle of detergent = $3.85

Cost of one bottle after 40% mark up = 1.4 × $3.85 = $5.39

Cost of 5 bottles = 5 × $5.39 = $26.95

Cost of 5 bottles after applying 20% discount = 0.8 × $26.95 = $21.56

Therefore, the total cost of 5 bottles of detergent is $21.56

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Information about percetange increase/decrease

If you increase the price of something by 40% then it will be 140% of the original price (the original price is 100% and 100% + 40% = 140%).

Convert to decimal form:  140% = 140/100 = 1.4

Therefore, to calculate an increase of 40%, multiply the original price by 1.4

If you decrease the price of something by 20% then it will be 80% of the previous price (the original price is 100% and 100% - 20% = 80%).

Convert to decimal form:  80% = 80/100 = 0.8

Therefore, to calculate a decrease of 20%, multiply the previous price by 0.8

Answer:

30 cubic feet

Step-by-step explanation:

The volume of a box is found by multiplying the area of the base by the height.  The area of the base is found by multiplying the length by the width.  (3 x 5)(2) = 15(2) = 30 cubic feet

Answer:

There are 5 red Marbles

Step-by-step explanation:

Alright so since the probability of drawing a red marble is

P(Red) = #Outcomes of Red/#Outcomes in Sample space

The sample Space is 40 marbles.

The probability of drawing red was said to be [tex]\frac{1}{8}[/tex]

P(Red) = [tex]\frac{1}{8}[/tex]

[tex]P(Red) = \frac{r}{40}\\ \frac{1}{8} = \frac{r}{40}\\ \frac{40}{8} = r\\ 5 = r[/tex]

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$9000\\ P=\textit{original amount deposited}\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ t=years\dotfill &12 \end{cases} \\\\\\ 9000=Pe^{0.085\cdot 12}\implies 9000Pe^{1.02}\implies \cfrac{9000}{e^{1.02}}=P\implies 3245.35\approx P[/tex]

Answer: 5

Step-by-step explanation: These two triangles are similar triangles. Since they are similar, they must be scaled equivalently. The scale factor is 5. To know this, 3 times 5 is 15, and being equivalent, we can figure 5 times 5 is 25. Therefore x is 5. That also means that the scale factor of the smallest triangle to the biggest triangle is 5. Thus, x is 5.

Answer:

-9 3/4a+10 2/5

Step-by-step explanation:

-12 * 5/6a = -10a

-12 * -7/8 =  10 1/2

1/14 * 3 1/2a = 1/4 a

1/14 * -1 2/5 = -1/10

Put it together: -10a + 10 1/2 + 1/4a - 1/10

-10a+1/4a = -9 3/4a

10 1/2-1/10= 10 2/5

-9 3/4a + 10 2/5

Answer: 40 minutes

Step-by-step explanation:

First, break this down into minutes. 1 1/4 hours is 75 minutes. 75 divided by 5 is 15. he spends 15 minutes taking a shower. 75 divided by 3 is 25. he spends 25 minutes eating breakfast. 25 plus 15 is 40. he spends 40 minutes to shower and eat breakfast.

Answer: A = and then below is incorrect then state how to find the correct answer and why it is correct.

Step-by-step explanation: hope it helps

Step-by-step explanation:

area of 2 triangles + 3 rectangles

2 (0.5×42×28)

=2×588

=1176 inches square

2(35x40)=2800

42×40= + 1680

--------

=4480 inches square

1176+4480

=5656 square units

Step-by-step explanation:

y = -x/2 - 1

the y-intercept is right there : -1.

it is the y-value when x = 0

the point of y-intercept is therefore (0, -1).

the x-intercept is the other way around. it is the x- value when y = 0.

0 = -x/2 - 1

1 = -x/2

-2 = x

the point of x-intercept is therefore (-2, 0)

Step-by-step explanation:

h varies directly with v and inversely with the square of r.

1/pi is the constant of variation.

The exponential function with a growth factor has a rate greater than 1

The percentage growth rate is 276%

The growth factor (b) is given as:

b = 3.76

The growth factor (b) is greater than 1.

So, the percentage growth rate (r) is calculated as:

r = b - 1

Substitute known values

r = 3.76 - 1

Evaluate the difference

r = 2.76

Express as percentage

r = 276%

Hence, the percentage growth rate is 276%

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120 in sq.  ,   260 in sq.Step-by-step explanation:question 1.area of a parralelogram = perperndicular height x basetherefore area = 8in x 15 inarea is 120in sq.question 2.the second parallelogram dimensions are as followsheight = 8 in +5 in = 13 inbase = 15in + 5in = 20therefore area = 13x20area = 260 in sq.

Answer:

I-9I

Step-by-step explanation:

Absolute value (the straight brackets) is how far away the number is from zero, this makes -9 into positive 9

Answer:

C. |-9|

Step-by-step explanation:

|-9| = 9

9 > 7 > |5| (5) > -12

Answer:

89

Step-by-step explanation:

df fd

Answer:    A

Step-by-step explanation:

Answer:

Shirt= $5.50

Pant=$10

Step-by-step explanation:

Let's shirt be 'x' and pant be 'y'

=}. 3x + y = $26.50

4x + 2y = $42

=}. 3x + y = $26.50

2x + y = $21. ( then first term minus

second term )

=}. x = $ 5.50

Now, y = $26.50 - 3x

= $26.50 - 16.50

= $10

Answer:

0.11

Step-by-step explanation:

[tex] \frac{1}{10} + \frac{1}{100} \\ \\ = \frac{10}{100} + \frac{1}{100} \\ \\ = \frac{11}{100} \\ \\ = 0.11[/tex]

Answer:

567 ghbvc. the high but

Step-by-step explanation:

solve accordingly to the picture

hope it helps

Since the absolute value of the z-score is greater than the critical value, the statement is true.

For a two-tailed test:

The critical value for a two-tailed test with [tex]\alpha = 0.05[/tex] is of |z| = 1.96.

In this problem, we have that Z = -2, hence |Z| = 2, which is greater than the critical value, hence we reject the null hypothesis and the statement is True.

More can be learned about an hypothesis test at https://brainly.com/question/26454209

Answer:

1. three hundred ninety six thousand twenty four

2. five million two hundred thousand ninety

3. four million six hundred six thousand two hundred twenty

Answer:

20 dresses

Make sure to label

Step-by-step explanation:

there is 100 centimeters in 1 meter she has 2200 centimeters of fabric left and need 110 for each dress she can make 20 dresses

Answer:

The point at f(-3) is at (-3,1).

Step-by-step explanation:

To find the y-value of a function at a specific point by using the graph, keep in mind that the x-axis is the axis that lies horizontally on the graph.

So, look along the horizontal line through the center until you find where x = -3. Now find the corresponding y-value to that x-value by looking above or below that point until you find where it intersects the graph. When you find that point, look to see what number the point corresponds with on the y-axis. In this case, it corresponds to y = 1.

Remember that ordered pairs are formatted as (x,y).

Hope this helps.

Answer:

7/16, 21/48, 28/64

Step-by-step explanation:

Hope this helps

[tex]f(x,y)=x^2+y^3\implies \left.\cfrac{}{} 2x+3y^2 \right]_{\stackrel{\textit{\small x=2}}{\textit{\small y=1}}}\implies 2(2)+3(1)^2\implies 7[/tex]

Answer:

27/200

Step-by-step explanation:

Knowing that:

A bag of tokens contains 9 red, 6 green, and 5​ blue tokens. What is the probability that a randomly selected token is red and green?

Solve:

and = multiply

Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20

Total = 20 token

Thus,

There are 9 red and 6 green..

Hence,

9 out of 20 is red

6 out of 20 is green

Equation

9/20 × 6/20

Multiply Across:

9 × 6 = 54

20 × 20 = 400

54/400

Simplify

27/200

Therefore, the probability that a randomly selected token is red and green is 27/200.

~Lenvy~

The probability that a randomly selected token is red and green is 27/200 in fraction form and 0.135 in decimal form.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that a bag of tokens contains 9 red, 6 green, and 5​ blue tokens.

Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20

Total token = 20

P(E₁) is 9 out of 20 are red.

P(E₂) is 6 out of 20 are green.

⇒ P(E₁) = 9/20

⇒ P(E₂) = 6/20

Required probability P(E) = P(E₁)×P(E₂)

Required probability P(E) = 9/20 × 6/20

Required probability P(E) = 54/400

Required probability P(E) = 27/200 = 0.135

Therefore, the probability that a randomly selected token is red and green is 27/200.

Learn more about probability here:

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Answer:

28 cars

Explanation:

Let "n" be the cars added in the collection

solve:

[tex]\rightarrow \sf \dfrac{8+n}{20+n} =75\%[/tex]

[tex]\rightarrow \sf {8+n} =(20+n)75\%[/tex]

[tex]\rightarrow \sf {8+n} =15+0.75n[/tex]

[tex]\rightarrow \sf {8-15} =0.75n-n[/tex]

[tex]\rightarrow \sf -7 =0.25n[/tex]

[tex]\rightarrow \sf n = 28[/tex]

Thus, he needs to add 28 cars in the collection to make the collection 75% cars.

Answer:

28 cars

Step-by-step explanation:

Total number of cars and trucks = 20

Cars make up 40% of the collection

⇒ Number of cars = 40% of 20

                              = 0.4 x 20

                              = 8 cars

⇒ Number of trucks = total collection - number of cars

                                  = 20 - 8

                                  = 12 trucks

To calculate how many cars must be added to make the collection 75% cars, set up a ratio equation with x being the number of cars to be added:

(Added cars + existing cars) to total collection = 75%

⇒ x + 8 : x + 8 + 12 = 75 : 100

⇒ x + 8 : x + 20 = 75 : 100

[tex]\sf \implies \dfrac{x+8}{x+20}=\dfrac{75}{100}[/tex]

⇒ 100(x + 8) = 75(x + 20)

⇒ 100x + 800 = 75x + 1500

⇒ 100x -75x = 1500 - 800

⇒ 25x = 700

⇒ x = 28

Therefore he would need to add 28 cars to his collection to make his collection 75% cars.

Check

Number of cars = 8 + 28 = 36

Number of trucks = 12

Total collection = 36 + 12 = 48

Number of cars / total collection = 36/48 = 0.75 = 75%