Jacob built a box with a volume of 90 cubic meters.
Choose all the boxes that Jacob could have built.

The Actual area of the dining room is: 252 square feet.

Given that the area of the house on a blue print = 7 square inches.

Scale of the blue print = 1 inch : 6 feet.

Therefore, we would have the following proportion:

Area on blue print/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.

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Answer: Actual area (252 square feet).

Explanation:

How to Find the Actual Area Using Scale?

Given that the area of the house on a blueprint = is 7 square inches.

The scale of the blueprint = is 1 inch: 6 feet.

Therefore, we would have the following proportion:

The area on the blueprint/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.

The value of 'x' for the given expression is calculated as (x = 48).

A linear equation in one variable is an equation that has only one solution.

Now, for the given expression;

(3x-5) + (x+1) = 180

Open the brackets.

3x-5 + x+1 = 180

Add the similar parts;

4x - 4 = 180

Further simplifying;

4x = 180 + 4

4x = 184

x = 184/4

x = 48

Therefore, the value of 'x' is estimated as 48.

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Answer:          410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

Your points = 361

Points to get an 'A' = your points + 8

'A' = 90% of possible points

Points to get an 'A' = your points + 8

= 361 + 8

= 369

let x be the amount of possible points

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

[tex]\displaystyle{\frac{90}{100}=\frac{369}{x}}[/tex]

We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.

[tex]90x = 369*100[/tex]        Simplify by multiplying.

[tex]90x = 36,900[/tex]            Isolate the variable x.

[tex]\displaystyle{\frac{90x}{90} = \frac{36,900}{90}}[/tex]           Divide both sides by 90 to cancel out 90 on the left.

[tex]\displaystyle{x = \frac{36,900}{90}}[/tex]              Divide.

[tex]x = 410[/tex]                    Solved for x, representing the possible points.

∴ The possible points in the art course is 410.

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Answer:

410 possible points

Step-by-step explanation:

Answer:

A: [tex]b < \frac{3}{2}[/tex] and the second equation is: [tex]b > \frac{1}{3}[/tex]

B: [tex]x > \frac{1}{6}[/tex] and the second equation is: [tex]x < 2[/tex]

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Hope this helps!

Have a great day and God bless! :)

Answer:

its 100 ez bro

Step-by-step explanation:

Answer: 100 balloons

Step-by-step explanation:

because it is 100 balloons

Answer:

so xtime sy ,fe fwvnvf nfdv bregbrrsikrwnknrhvnk vnf vknvns;;abjwrjkgwnkgwjknnnxnfnfsvmsr

Answer:

The answer is commutitve

Answer:

It would be 1333/1000.

Answer:

adjacent , linear pair ,

Step-by-step explanation:

and i don't think there is something else

x=62 bec 180-118=62.

Step-by-step explanation:

180=118-x

180-118=x

x=62

[tex]\implies[/tex]The answer is Adjacent and Complementary.

Answer:

350

Step-by-step explanation:

Answer:

70 days

Step-by-step explanation:

Given that,

→ fresh fruit to last 10 days

→ fresh vegetables for 7 days

→ dried insects for 5 days

Then in how many days will they order all three items on the same day?

Then the LCM of 10, 7 & 5 is,

→ 2 × 5 × 7

→ 10 × 7 = 70

Hence, the answer is 70 days.

Answer: 96

Step-by-step explanation:

Length = Area/Width

7584/79 = 96 feet

96 x 79 = 7584 ft²

The given inequality  is never true which means it has no solutions. If an inequality has no actual solution, then there aren't any numbers that might be used to solve it and make the statement true. An inequality can be made true by substituting any real number into it if the solution to the inequality is all real numbers.

Given the expression is 4x ₋ 8 > 1 ₊ 4(x₊3)

first apply the distributive property.

4x ₋ 8 > 1 ₊ 4x ₊ 12

now combine the like terms.

4x ₋ 8 > 4x ₊ 13

Variables should be moved to the equation's left side.

4x ₋ 4x > 13 ₊ 8

combine like terms.

0 > 13 ₊ 8

calculate the sum.

0>21

This is the solution of inequality which has no solutions.

Hence the inequality of the expression is never true.

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The area of the rectangular garden in terms of a function in x is given by 44x - x²sq. ft.

What is the area of a rectangle?

A rectangle is a closed geometric figure with opposite sides equal to each other. The area of this rectangle is given by the product of its length and width.

Calculating the area of a rectangular garden in terms of a function in x

Let us consider a variable x that denotes the length of a rectangular garden

Given perimeter of a rectangular garden is 88 ft with y as the width of a rectangular garden

Perimeter = 2×(length + breadth)

88 = 2(x + y)

44 = x + y

y = 44 - x

Area of a rectangular garden = xy

= x(44 - x)

= 44x - x² sq. ft

Hence, the area of a rectangular garden in terms of a function in x is given by 44x - x² sq. ft.

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Answer:

1/6

Step-by-step explanation:

30+20= 50

200+100= 300

you divide 50÷300 and you get 1/6

y= 1/16 is the solution of the equation  where y is [tex]e^{-2ln4}[/tex]

The expression is given to be [tex]e^{-2ln4}[/tex]

The formula is given to be [tex]e^{lnx} =x\\[/tex]

also it is given that ln[tex]e^{x}[/tex]=x

Now to find and evaluate [tex]e^{-2ln4}[/tex]

let y=[tex]e^{-2ln4}[/tex]

taking ln both sides,

ln y = ln[tex]e^{-2ln4}[/tex]

ln y= -2 ln4

ln y= ln 4^-2

Removing ln from both sides,

y = 4^-2

y=1/16

Thus , y= 1/16 is the solution of the equation

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Answer: 21

Step-by-step explanation:

Use a calculator

Answer:

89.50 = 7.75 + 27.25p

subtract 7.75 from both sides

89.50 - 7.75 = 27.25p

81.75 = 27.25p

divide both sides by 27.25

p = 81.75 / 27.25

p = 3

Step-by-step explanation:

The number of people who can go to the amusement park is 3 people

Answer: p=3

Hence, the Linear Equation in two variables is used to determine the total number of people who go to the park is - y=7.75+27.25p

Step-by-step explanation:

89.50=7.75+27.25p

89.50-7.75+27.25p

81.75=27.25

81.75/27.25

p=3

Answer:

y = -3x + 12

Step-by-step explanation:

If two lines are parallel, their slopes are equal, then m = -3

x intercept is 4 then y = 0

y = mx + b

0 = -3(4) + b

b = 12

y = -3x + 12

Answer: 164 degrees

Step-by-step explanation:

IHG=JHG+IHJ

19x-7=84+7x+17

19x-7=101+7x

12x-7=101

12x=108

x=9

IHG=19x-7

IHG=19(9)-7

IHG=171-7

IHG=164 degrees

Answer:

94.8

Step-by-step explanation:

supplementary angle = 180°

180 - 85.2 = 94.8

Answer: 47.4 degrees

Step-by-step explanation:

A=measure of angle

S=Angle A's supplementary angle

Supplementary Angle=180 degrees

A+85.2=S

A+S=180

A+A+85.2=180

2A+85.2=180.0

2A=94.8

A=47.4 degrees

By solving a system of equations, we can see that the adult ticket costs $10.

Let's define the two variables:

With the given information, we can write a system of equations:

1*x + 6*y = $52

1*x + 8*y = $66

By taking the difference between the two equations we get:

(1*x + 8*y) - (1*x + 6*y) = $66 - $52

2y = $14

y = $14/2 = $7

Now that we know the value of y, we can find the value of x.

Replacing the value of y in the first equation we get:

1*x + 6*$7 = $52

x = $52 - 6*$7 = $10

With this, we know that the adult ticket costs $10.

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The number sold at the original price is 27 and they sold 64 at the reduced price.

Let x = number of pieces sold at 13.50

Let y = number of pieces sold at 9.50

The equation will be:

x + y = 91. ..... i

13.50x + 9.50y = 972.50 ..... ii

From equation i x = 91 - y

13.50x + 9.50y = 972.50

13.50(91 - y) + 9.50y = 972.50

1228.50 - 13.50y + 9.50y = 972.50

1228.50 - 4y = 972.50

4y = 1228.50 - 972.50

4y = 256

y = 256/4

y = 64

Since x + y = 91

x = 91 - 64 = 27

Therefore, the number sold at the original price is 27 and they sold 64 at the reduced price.

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Answer:

To write this is true scientific notation the decimal point needs to be moved 1 place to the right so the exponent for the 10s term will be negative:

0.514=5.14×10

−1

Answer:5.14

Step-by-step explanation: