6. A two-story building measures 21 feet
from the ground. A scale model shows the
building to be 3 inches tall. How many inches
would an 84 foot building be in the model?
1
1
-
height:

Answer:  Refer to the screenshot below

I've filled in the boxes with the proper answers

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Explanation for problem 1

In line 1, I used the distributive rule a*(b+c) = a*b+a*c. On the left side the 3(n+2) becomes 3n+6. On the right side, the 9(6-n) becomes 54-9n

On the next line, I added 9n to both sides. The 3n on the left side updates to 3n+9n = 12n.

For the third line, I subtracted 6 from both sides. Then the last line involves dividing both sides by 12 to fully isolate n. To confirm the solution n = 4, plug it back into the original equation. You should get the same thing on both sides after simplifying.

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Explanation for problem 2

The steps here are similar as problem 1, but this time we're involving fractions. Unfortunately, these steps don't involve clearing out the fractions which is often a handy trick to use.

We use the distributive rule on line 1

For line 2, we subtract 2m/9 from both sides. Think of 2m/3 as 6m/9 to help combine the fractions. The denominators must be the same for you to be able to add or subtract fractions.

For line 3, we subtract 4/3 from both sides. Think of 4/3 as 12/9.

The last step is to multiply both sides by 9/4, which is the reciprocal of 4/9. Your teacher made a typo on the right hand side of the last line. It should read [tex]\frac{4}{9}m[/tex] and not [tex]\frac{2}{9}m[/tex]. Refer to the previous line.

Answer: 30 eggs

Step-by-step explanation:

Given

Mrs. Jones bought 120 eggs

She used two-third for baking cakes i.e.

[tex]\Rightarrow 120\times \dfrac{2}{3}=80\ \text{eggs}[/tex]

Remaining eggs are [tex]120-80=40\ \text{eggs}[/tex]

She used on-fourth of the remaining for baking cookies i.e.

[tex]\Rightarrow 40\times \dfrac{1}{4}=10\ \text{eggs}[/tex]

Eggs left after baking cookies

[tex]\Rightarrow 40-10=30\ \text{eggs}[/tex]

She is left with 30 eggs

Answer:

x = 9

Step-by-step explanation:

x + 3 = 12

subtracting both sides by 3

x + 3 - 3 = 12 - 3

x + 0 = 9

x = 9

Answer:

x = 9

Step-by-step explanation:

x + 3 = 12

x (+ 3 - 3) = 12 - 3

x = 9

Wait… what lesson? I am confused :/

Answer:

David=$8.8

Jo=$13.2

Mary=$22

Step-by-step explanation:

2+3+5=10

44/10=4.4

David=4.4x2=$8.8

Jo=4.4x3=$13.2

Mary=4.4x5=$22

8.8+13.2+22=44

Answer:

[tex]y=x[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=mx+b[/tex]

We're given that the slope of the line is 1. Plug this into the above equation

[tex]y=1x+b\\y=x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=x+b[/tex]

Plug in the given point (-7,-7)

[tex]-7=-7+b[/tex]

Add 7 to both sides to isolate b

[tex]-7+7=-7+b+7\\0=b[/tex]

Therefore, the y-intercept is 0. Plug this back into [tex]y=x+b[/tex]

[tex]y=x+0\\y=x[/tex]

I hope this helps!

Answer:

t = 3.46 hours, or 3 hours 28 minutes

Step-by-step explanation:

78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.

Donuts produced as a function of time:   D(t), where t is the number of hours the macine runs.

Set D(t) = 135 dozen = (39 dozen/hr)t.

Solving this equation for t, we get:

t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes

Answer:

12.56

Step-by-step explanation:

use the circumference of a circle formula, C=2πr, to find the circumference

so C=2π(2)=12.56 the last one

Answer:

1+3=90

1=52

3=38

38+63+1=180

1=79

the answer is 79

Answer:

52·s + 2·a = [2] × ([26·s] + [a])

Step-by-step explanation:

The number of classes Mr. Fox  takes to the museum = 2 classes

The number of tickets Mr. Fox orders = The number of students and teachers in the two classes

The number of students paid for by one of the classes = The number of students paid for by the other class

The number of adult paid for by one of the classes = The number of adult paid for by the other class

The expression for the total cost of the ticket is 52·s + 2·a

Let 'c' represent the total cost for each class

Therefore, given that each class pays for the same number of students and adults, we have;

2 × c = 52·s + 2·a

∴ c = (52·s + 2·a)/2 = 26·s + a

Therefore, given that we have 2 classes, we get;

52·s + 2·a = 2 × (26·s + a)

Answer:

50

Step-by-step explanation:

to get the unit per hour, you have to divide the amout, which is 350, by the time, which is 7, and you get 50

Answer:

instead of finding x find an ps4

Step-by-step explanation:

like what

Answer:

[tex]3\sqrt{3}x[/tex]

Step-by-step explanation:

Expand √27x² in such a way that it is the :-

So ,

[tex]\sqrt{27x^2} = \sqrt{9 \times 3 \times x^2}= 3 \times \sqrt{3} \times x = 3\sqrt{3}x[/tex]

Answer:

Amount Charli paid for the car = $9,450

Step-by-step explanation:

Amount Carter paid for the car = $21,000

Sienna paid 75% of what Charli paid

Amount Sienna paid for the car = 75% of $21,000

= 75/100 * $21,000

= 0.75 * $21,000

= $15,750

Amount Sienna paid for the car = $15,750

Charli paid 60% of what Sienna paid

Amount Charli paid for the car = 60% of $15,750

= 60/100 * 15,750

= 0.60 * 15,750

= $9,450

Amount Charli paid for the car = $9,450

Answer:

-3/2

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

To determine if the point is a solution to either of the inequalities, substitute the variables with the point given. When y<-3.x+4 is substituted with (0,4), the inequality becomes 4<4, which proves that the point is inapplicable to the first inequality. Therefore, you do not need to continue to check its applicability with the second inequality.

Answer:

the total payment need to pay is $525

Step-by-step explanation:

Given that

The amount at promissory note issued is $500

The rate of interest is 10%

And, the time period is 180 days

So, the total payment included is

= $500 + ($500 × 10% × 180 days ÷ 360 days)

= $500 + $25

= $525

hence, the total payment need to pay is $525

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2+b^2=c^2

a^2+2^2=7^2

a^2+4=49

a^2=49-4

a^2=45

a=[tex]\sqrt{45}[/tex]

a=3[tex]\sqrt{5}[/tex]

a=6.7

Answer:

10,353m³

Step-by-step explanation:

We can look for the volume of the warehouse since we are not told what to look for

Volume of the warehouse = length * width * height

Given

Length  = 120m

Width = 20 3/10 = 203/20 m

Height = 8 1/2m = 17/2 m

Volume of the warehouse = 120 * 203/20 * 17/2

Volume of the warehouse = 6 * 203 * 17/2

Volume of the warehouse = 3 * 203 * 17

Volume of the warehouse = 10,353 cubic metres

Hence the volume of the warehouse is 10,353m³

Answer:

Step-by-step explanation:

Volume = pi·(r^2)*h

r = radius = (5x+4)

h = height = (2x+5)

Volume = pi·(r^2)

Volume = pi·(5x+4)^2*(2x+8)

Volume = pi·(25x^2+40x+16)*(2x+8)

Volume = pi·(50x^2+80x+32+200x^2+32x+128)

Volume = pi·(250x^2+112x+160)

Answer:

-0.5 is rounded to the nearest tenth

Step-by-step explanation:

Answer:

it would be -0.5

Step-by-step explanation:

tenth means 1dp the number after it would determine it but there is a zero after the 5 which means that it stays the same.

Answer:

x=3, x=-1

Step-by-step explanation:

|x-1|-1=1

Add 1 to each side

|x-1|-1+1=1+1

|x-1|=2

Now set the absolute value to ±2

x-1 = 2     and x-1 = -2

Add 1 to all sides

x-1+1 = 2+1         x-1+1 = -2+1

x=3                       x = -1

Answer:

943

Hope that this helps!

Answer:

(6,21)

Step-by-step explanation:

Given that,

y = 2x + 9 .....(1)

y = 4x − 3 .....(2)

From equations (1) and (2),

2x + 9 = 4x − 3

Taking variables both sides and constants to another side.

9+3 = 4x-2x

12 = 2x

x = 6

Put the value of x in equation (1).

y = 2(6) + 9

y = 12 + 9

y = 21

The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).

Answer:

150cm^2

Step-by-step explanation:

Answer: D

Step-by-step explanation:

11 m

Answer:

D

Step-by-step explanation:

took the test

A. low unemployment

I hope this answer helps you...

Answer:

Children tickets = $9

Adult tickets= $6

Answer:

t ≤ 210°

Step-by-step explanation:

If the temperature of the water in a coffeepot does not exceed 210°, this means that the temperature cannot be more than 210° and the required inequality sign that fits is ≤ (less than or equal to).

Since t is the temperature of the water in the coffeepot, the required inequality expression will be t ≤ 210°