4. A model of a skyscraper is made so that 1 inch represents 75 feet. What is the height of the actual building if the height of the model is 18 3/5 inches?




5. The portrait company that takes little league baseball team photos is offering an option where a portrait of your baseball pose can be enlarged to be used as a wall decal (sticker). Your height in the portrait measures 3 1/2 inches. If the company uses a scale where 1 inch on the portrait represents 20 inches on the wall decal, find the height on the wall decal. Your actual height is 55 inches. If you stand next to the wall decal, will it be larger or smaller than you?




6. The sponsor of a 5K run/walk for charity wishes to create a stamp of its billboard to commemorate the event. If the sponsor uses a scale where 1 inch represents 4 feet, and the billboard is a rectangle with a width of 14 feet and a length of 48 feet, what will be the shape and size of the stamp?





7. Danielle is creating a scale drawing of her room. The rectangular room measures 20 1/2 ft. by 25 ft. If her drawing uses the scale where 1 inch represents 2 feet of the actual room, will her drawing fit on an 8 1/2 in. by 11 in. piece of paper?
.

Answer and Step-by-step explanation:

Please find attached

Answer:

Alternate interior angles

Step-by-step explanation:

Angles 4 and 5 are alternate interior angles

Answer:

Total Probability = 1 / 221

Step-by-step explanation:

Total number of cards = 52

Total number of kings = 4

Probability (first card is a king) = 4 / 52

Probability (Second card is a king) without replacement = [4-1] / [52-1]

Probability (Second card is a king) without replacement = 3 / 51

Total Probability = [Probability (first card is a king)][Probability (Second card is a king) without replacement]

Total Probability = [4/52][3/51]

Total Probability = 12 / 2652

Total Probability = 1 / 221

Answer:

29900 ft

Step-by-step explanation:

just plug in 18 for x

A function assigns the values. The predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.

A function assigns the value of each element of one set to the other specific element of another set.

The measure of the height of an airplane at a certain time is given by the function,

[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}[/tex]

where x is the time in minutes and y is the height of the airplane.

Now, the height of the plane after 18 minutes post takeoff can be calculated by substituting the value of time, x as 18 in the function.

[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-0.9948 \times 18}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}[/tex]

[tex]y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}\\\\y = \dfrac{29,864 }{1+(9.381 \times 1.6724 \times 10^8)}\\\\y = \dfrac{29,864 }{1+(1.5689 \times 10^8)}\\\\y = \dfrac{29,864 }{1.000000157}[/tex]

y = 29864 ft

Hence, the predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.

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Answer:

Step-by-step explanation:

2g=7h-3f

g=[tex]\frac{7h-3f}{2}[/tex]

Answer:

g= [tex]g=\frac{7}{2}h- \frac{3}{2}f[/tex], f∈R, h∈R

Step-by-step explanation:

3f+2g=7h

2g=7h-3f

g=[tex]\frac{7}{2}h - \frac{3}{2} f[/tex]

Answer:

203

Step-by-step explanation:

Multiply the mean by the amount of numbers (7).

Answer:

a) 376.66

b) Option 2: No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) 377

d) 40.77%

Step-by-step explanation:

a) 37% of 1018 is;

37/100 × 1018 = 376.66

b) Thus, the result in a above is not a whole number. Thus;

No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) from a above a, we got a value of 376.66.

Now the actual number would be preferably an integer. Thus, actual number is approximately 377.

d) percentage of respondents said that cellular phones are not at all harmful = 415/1018 × 100% = 40.77%

Answer:

20 i think

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

A= Least common multiple of 12,24,36

Factors of 12 = 2*2*3

Factors of 24 = 2*2*2*3

Factors of 36 = 2*2*3*3

A = 2*2*2*3*3 = 72

B = Lowest prime number = 2

A+B = 72+2 = 74

Answer:

it will be 199.00 dollors you have to spend

Step-by-step explanation:

899.00-70

g(x)=√(x+1)

Let's plug 10 in for x

g(10) = √(10+1)

Simplify the exponents

g(10) = √(11)

This is the exact form but it can also be expressed as a decimal.

√(11) = 3.31662479

You can simplify as needed

Answer:

3.316

Step-by-step explanation:

Given X=10

Evaluating,

√(10+1)

=√11

=3.316

Answer:

the total cost would be $45.2

Answer:

4/25

Step-by-step explanation:

(-2/5) ^2

This means

( -2/5) * (-2/5)

4/25

Answer: 4/25

Step-by-step explanation:

(-2/5)(-2/5)

4/25

The negatives make a positive.

Hope this helps!

Answer:

1. 14.91

2. 173.48

3.100.86

Step-by-step explanation:

all the answers are rounded to the nearest hundredth place, i believe.

Answer:

R1 subtraction  R2 distrivution S4 9x=61 R5 division

Step-by-step explanation:

Answer:

5.40

Step-by-step explanation:

i think that's it because

if u take 150 - the one cake it will equal = 135

then u divide 135 by the 25 pies it will equal 5.40

150-15= 135

135÷ 25= 5.60

Step-by-step explanation: Uh if Lori has 136 crayons. And rick has 10 more than her He would have 146 And tom has 10 fewer crayons than rick so he would have 136

Lori:136

Rick:146

Tom:136

And idk if u need this or not but if u want it all together it would be: 418

Hope this helps!)

Rick has 146 crayons,  Lori has 136 crayons and Tom has 136 crayons'

Let the number of crayons Rick have be x

Let the number of crayons Lori has be y

Let the number of crayons tom has be z

If Rick has 10 more crayons than Lori, then;

x = 10 + y

Since Lori has 136 crayons, hence y = 136

x = 10 + 136

x = 146

If Tom has 10 fewer crayons than Rick, then;

z = x - 10

z = 146 - 10

z = 136

Hence rick has 146 crayons,  Lori has 136 crayons and Tom has 136 crayons'

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Answer:

[tex] slope (m) = 6 [/tex]

Step-by-step explanation:

To get the slope of the line of the given table of values, all we need is just 2 coordinate pairs from the table. We can pick any two.

Let's use, (-1, 0), and (0, 6).

Apply the formula, [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex], where,

[tex] (-1, 0) = (x_1, y_1) [/tex]

[tex] (0, 6) = (x_2, y_2) [/tex]

Thus:

[tex] m = \frac{6 - 0}{0 - (-1)} [/tex]

[tex] m = \frac{6}{1} [/tex]

[tex] slope (m) = 6 [/tex]

It's a coffin because the person who makes it is alive so they don't need to use it, the person who buys it is also alive and buying it for someone else.

The person who is using it has passed away so they can't see or feel anything.

:( This is one morbid riddle.

goyeggoyeceo y sit stuu try steet8eitccetiectoce58

Step-by-step explanation:

yeti et87stps tu et8 e85et 8

u0r as8tcc85e7ce5ctce5e5c8cr6

I ts its 7w496 w4y rs9rr s77

Answer:

90

Step-by-step explanation:

the total interior angles of a triangle measure to 180 degrees.

55 + 35 = 90

180-90=90

Answer:

9600/60 minutes = 9600/ 360 seconds = 26

Keep practicing :)

Step-by-step explanation:

Answer:

9.6

Step-by-step explanation:

The reason is because you divide this number by 1,000 which gives you 9.6

9600 divided by 1,000= 9.6

Answer:

15-9

Step-by-step explanation:

Answer:

5:3

Step-by-step explanation:

[tex]15 \div 3 = 5[/tex]

[tex]9 \div 3 = 3[/tex]

Answer:

ok

Step-by-step explanation:

[tex]7 + \dfrac{2}{3x} = - 1 \\ \implies \: \dfrac{2}{3x} = - 1 - 7 \\ \implies \: \dfrac{2}{3x} = - 8 \\ \implies \: 2 = - 24x \\ \implies \: x = - \dfrac{2}{24} \\ \implies \: x = - \dfrac{1}{12} [/tex]

Answer:

x = -12

Step-by-step explanation:

multiply all terms by 3 to get whole numbers

->21+2x=-3

subtract 21 both sides to isolate the variable

->2x=-24

divide by 2 both sides to simplify

->x=-12

Answer:

x = 150

Step-by-step explanation:

We know a circle is 360°, so the angles must add up to 60°.

Step 1: Set up equation

x - 120 + x - 120 = 60

Step 2: Solve for x

Step 3: Check

Plug in x to verify it is correct.

150 - 120 = 30°

150 - 120 = 30°

30° + 30° = 60°

60° + 300° = 360°

Answer:

the second option

Step-by-step explanation:

hope this helps

Answer:

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