Alyssa used a scale in which 1 inch represents 100 feet. If the actual landmark has a height of 508 feet, find the height of Alyssa's model in inches.

Answers

Answer 1

Answer:

5.08 inches

Step-by-step explanation:

Alyssa used a scale in which 1 inch represents 100 feet. If the actual landmark has a height of 508 feet, find the height of Alyssa's model in inches.

The scale =

1 inch = 100 feet

100 feet = 1 inch

508 feet = x inches

Cross Multiply

100 × x = 508 × 1

x = 508 × 1/100

x = 5.08 inches

The height of the model is 5.08 inches


Related Questions

Can someone please answer these questions???!

Answers

Answer:

Step-by-step explanation:

sub in all your x values into the linear equation it gives you

once you have your table you should be able to figure out the rest if the questions !!

Find the value of each variable

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{c^2 + c^2 }[/tex] = 9√2

c√2 = 9√2 ⇒ c = 9

b = 2c ⇒ b = 18

d = [tex]\sqrt{18^2 - 9^2 }[/tex] = [tex]\sqrt{(18 - 9)(18+9)}[/tex] = √243 = 9√3

a = c = 9

b = 18

d = 9√3

Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies. How much more do the watermelon candies cost per ounce than the chocolate candies?

Answers

Answer:

The Watermelon candies cost 13 more cents then the chocolate.

Step-by-step explanation:

$3.48 divided by 12 is 29 cents

$1.28 divided by 8 is 16 cents

Subtract 16 from 29 and get 13

If Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies, then she paid 13 more cents for watermelon candies cost per ounce than the chocolate candies

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Lickety Sweet's Candy Store sells candy by the ounce.

For 12-ounce bag of hard watermelon candies Maura paid $3.48

For 8-ounce bag of chewy chocolate candies Maura paid $1.28

Let us find cost of each watermelon candie

$3.48 divided by 12

3.48/12=29 cents

$1.28 divided by 8

1.28/8=16 cents

Subtract 16 from 29 and get 13

29-16=13

Hence 13 cents more do the watermelon candies cost per ounce than the chocolate candies

To learn more on Equation:

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In the ordered pair (2, 3), 3 is the

Answers

3=y and 2=x



Pretty sure that’s right

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4
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8
9
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Which of the following could be the number shown on the number line?
A. 172
B. V 79
C.
82
D. 63

Answers

Answer:

A

Step-by-step explanation:

8.5 x 8.5= 72.25

so basically it's the closest answer

Which of the following is the missing value?
a. 0.27
b. 0.30
c. 0.37
d. 0.50​

Answers

I believe the answer is B

Answer:

answer is b

Step-by-step explanation:

What is the solution to
{y=14x+3y=2x+10

Answers

Answer:

The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])

Step-by-step explanation:

∵ y = 14x + 3 ⇒ (1)

∵ y = 2x + 10 ⇒ (2)

→ Equate equations (1) and (2) to find x

14x + 3 = 2x + 10

→ Subtract 2x from both sides

∴ 14x - 2x + 3 = 2x - 2x + 10

∴ 12x + 3 = 10

→ Subtract 3 from both sides

∴ 12x + 3 - 3 = 10 - 3

∴ 12x = 7

→ Divide both sides by 12 to find x

∵ [tex]\frac{12x}{12}[/tex] [tex]\frac{7}{12}[/tex]

x = [tex]\frac{7}{12}[/tex]

→ Substitute the value of x in equation (1) or (2) to find y

∵ y = 2([tex]\frac{7}{12}[/tex]) + 10

∴ y = [tex]\frac{7}{6}[/tex] + 10

y = [tex]\frac{67}{6}[/tex]

The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])

Which values represent solutions to the equation?
Tan(3Pi/4-2x)=-1, where x = [0,pi]

Answers

0 is the a answer definately

The value of the variable x will be {0, pi/2, pi}. Then the correct option is B.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

tan (3π/4 - 2x) = - 1

We know that the value of tan 3π / 3 is negative one. Then the equation will be

tan (3π/4 - 2x) = tan 3π/4

Apply inverse of tangent on both sides, then the equation will be

(3π/4 - 2x) = 3π/4, -π / 4

         - 2x = 0, -π

           2x = 0, π

             x = 0, π/2

Then the value of the variable x will be {0, pi/2, pi}.

Then the correct option is B.

The question was incomplete, but the complete question is given below.

Which values represent solutions to the equation? tan(3pi/4 - 2x) = -1, where x ∈ [0,pi]

A) {0, pi}

B) {0, pi/2, pi}

C) {0, pi, 2pi}

D) {0, pi/2, pi ⋅ 3pi/2}

More about the trigonometry link is given below.

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lemon made 8 5/8 cups of lemonade. she drank 4 3/8 cups of the lemonade. how many cups of lemonade does she have left

Answers

Answer: 4 1/4

Step-by-step explanation:

8 5/8

-4 3/8

4 2/8 or 4 1/4

)A triangle is shown on the graph:

What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.

Answers

Answer:

45

Step-by-step explanation:

Answer:

45 idrk

Step-by-step explanation:

SCOOBY-dooby-do-la-de-da-de-da

Is a quadrilateral a square?

Answers

Answer:

No but a square is a quadrilateral

Step-by-step explanation:

hope this helps :)

Answer:

If I were to be honest no Edit: yes it is

Step-by-step explanation:

No because a square has straight parrallel corners. But a quadrilateral has slanted parallel corners.

Hope that helped. But maybe wait for sumone else to answer too. : )

Edit: nvm my bad I was wrong

Suppose your community has 3580 people this year. The population is growing 2.5% each year. a. Write an exponential function to model the population. b. What will the population be in 3 years? c. Graph the function and give the domain and range.

Answers

Answer:

Step-by-step explanation

sadly i dont understand

Write 24/25 as a decimal.

Answers

0.96 is the answer to this question

find three consecutive numbers whose sum is 84

Answers

Answer:

three  consecutive numbers that add up to 84 are 27,28 and 29

Step-by-step explanation:

27+28=55

55+29-=84

Help I mark brainliest

Answers

Answer:

-r ^3

Step-by-step explanation:

what is the answer?​

Answers

A=43 degrees.
a triangle equals 180 degrees, 2 angles are given 47 degrees and the 90 degree angle that makes a right square. 90+47=137. 180-37=43.

Last one pls help me

Answers

Answer:

√89

Step-by-step explanation:

I assume you have to find the short cut, right?

5² + 8² = 25 + 64 = 89 = ( √89 )²

Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.

Answers

Given:

Polynomial is [tex]3x^2+15x-56[/tex].

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

[tex]3x^2+15x-56+(x-8)^2[/tex]

[tex]=3x^2+15x-56+x^2-2(x)(8)+8^2[/tex]    [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]=3x^2+15x-56+x^2-16x+64[/tex]

On combining like terms, we get

[tex]=(3x^2+x^2)+(15x-16x)+(-56+64)[/tex]

[tex]=4x^2-x+8[/tex]

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is [tex]4x^2-x+8[/tex].

Scott bought three bags of candy with 75 pieces in each one. He plans to divide all the candy evenly among seven friends. How many pieces of candy will Scott have left for himself?​

Answers

He will have left 28.125
Explanation: 3x75 / 8

Answer:

he will have 28 pieces

Step-by-step explanation:

75*3=250

250/8=28

what is speed of sound in air at 100 degree celcius?​

Answers

Answer:

386m/s is the answer to your question

Which of the following is an equivalent expression to the given expression using the commutative property of addition?

2(xy)+5x

Question 1 options:

(xy)2+5x

(2x)y+5x

5x+2(xy)

x(2y+5)

Answers

I think it’s the second equation (2x)y+5x

Answer:

I think it's the 2rd equation

A​ scratch-off lottery ticket has 14 concealed spaces among which are 4 symbols saying​ "Win!". The person who bought the ticket scratches the black yucky stuff off 3​ spaces, winning an instant​ $10 if all three are winners.​ What's the probability of winning this​ game? I'm confused about this please help!

Answers

Answer:

Step-by-step explanation:

since this has something to do with chance im guessing maybe percentage of winnign this

so

4/14 x 100 so 28.57% probability of winning this game i believe

Exact answer as a fraction = 1/91

Approximate answer in decimal form = 0.010989

Approximate answer in percent form = 1.0989%

=====================================================

Explanation:

Let's think of the problem another way.

Let's say that we have 14 ping pong balls labeled 1 through 14. Furthermore, lets set up the first four balls {1,2,3,4} to be labeled with a star sticker. The rest don't have a star. The star stickers indicate a winning ball. All of the ping pong balls are then put into a bag where we will randomly pull out 3 of them. Replacements will not be made (ie the ball won't be put back). The goal is to get 3 star stickers in a row.

One possible combination is {1,2,7} which is close but not a winner since that 7 is there. Another possible combination is {5,8,12} which is not even close to a winner (since we didn't get 1,2,3 or 4).

---------

We have two questions we need to answer:

How many possible combinations are there? How many combinations are a winner?

We'll use the nCr combination formula

[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]

We use the combination formula, instead of the permutation formula, because order does not matter. Something like {1,2,7} is the same as {7,1,2}.

If you plug in n = 14 and r = 3, you should find that 14 C 3 = 364.

I'll list the steps in the attached image below (to save space here).

This means there are 364 different ways to play the game. In other words, there are 364 ways to pull out three ping pong balls.

---------

That wraps up question 1. Now onto question 2.

We have 4 winning balls and 3 slots to fill, so we will plug n = 4 and r = 3 into the combination formula. I'll skip the steps because they're fairly similar to earlier. You could also use Pascal's Triangle to help. Whichever method you use, you should find that 4 C 3 = 4.

note: we have 4 winning balls and 3 slots to fill, so you can think of it like "how many ways are there to not choose a ball?" and that answer would be 4.

So this means there are 4 ways to win the game.

------------------------------------

In summary so far, we found

There are 364 ways to play the gameThere are 4 ways to win the game

This means the probability of winning is 4/364 = 1/91

Use your calculator to find that 1/91 = 0.010989 approximately which converts over to the approximate percentage of 1.0989%

I’ll post part one but plz help it’s worth 15POINTS I’ll mark as Well!!!!

Answers

Answer:

Wellll

Step-by-step explanation:

write as an algebraic expression: Two less than two times a number (y).

Answers

Answer: 2y-2

Step-by-step explanation:

Y represents the number

If you were to solve this you would have to do 2 times a number which is shown by 2y.

Then, you need to subtract 2 from 2y.

Therefore, the answer is 2y-2

The expression for the given verbal expression is 2y-2.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is a verbal expression, Two less than two times a number.

We need to convert it into mathematical expression,

Let the number be y,

Therefore, two times a number = 2y

And Two less than = -2

Therefore,

Two less than two times a number = 2y-2

Hence, the expression for the given verbal expression is 2y-2.

Learn more about expression, click;

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0.571428
is or is not the decimal equivalent of
4
7
. Write your answer in the space provided.

Answers

Answer:

4 ÷ 7 = 0.571428

Step-by-step explanation:

4 ÷ 7 = 0.571428

fatore a equação

2x²-3xy-2y²-2x-11y-12

Answers

2x²-3xy-2y²-2x-11y-12

Write -3xy as a difference

2x²+xy-4xy-2y²-2x-11y-12

write -2x as a difference

2x²+xy-4xy-2y²+4x-6x-11y-12

Write -11y as a difference

2x²+xy-4xy-2y²+4x-6x-8y-3y-12

Factor out 2x from the expression

2x×(x-2y-3)+xy-2y²+4x-8y-3y-12

Factor out y from the expression

2x×(x-2y-3)+y×(x-2y-3)+4x-8y-12

Factor out 4 from the expression

2x×(x-2y-3)+y×(x-2y-3)+4(x-2y-3)

Factor out x-2y-3 from the expression

Answer: (x-2y-3)x(2x+y+4)

PLEASE MARK ME AS BRAINLIEST!!

Two containers P and Q are filled with different amounts of water. Each container has a small hole. The graph shows the amount of water, V milliliters, left in each container after x minutes.

Explain what the y-intercept means in this scenario.

Answers

Answer:

Step-by-step explanation:

Equation of the line for container O and container P will be in the form of,

y = mx + b

Here m = slope of the line = Change in amount of water per minute

b = y-intercept

From the graph attached,

y-intercept 'b' represents the initial amount of water in the container.

For container O, initial amount of water in the container is 1000 mL.

Similarly, initial amount in the container is 900 mL.

A chess Club with 80 members is electing a new president. Yoko received 72 votes. What percentage of club members voted for Yoko?

Answers

Answer:

90%

Step-by-step explanation:

You can make the votes simple by dividing 8 on 80 and 72

80 becomes 10

72 becomes 9

You can do this because we done the same thing to both sides

now it is Yoko got 9 out of 10 and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote

Answer:

90%

Step-by-step explanation:

You can make the votes simple by dividing 8 on 80 and 72

80 becomes 10

72 becomes 9

You can do this because we done the same thing to both sides

now it is Yoko got 9 out of 10

and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote

Hope this helps!

The probability of event A is 0.2 and probability of event B is 0.3. Given that A and B are independent, then the probability of A and B (A intersection B) is: Choose one • 10 points 5% 6% 9% 13%

Answers

Answer:

[tex]P(A\ n\ B) = 6\%[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.2[/tex]

[tex]P(B) = 0.3[/tex]

Required

Determine [tex]P(A\ n\ B)[/tex]

Since both events are independent;

[tex]P(A\ n\ B) = P(A) * P(B)[/tex]

[tex]P(A\ n\ B) = 0.2 * 0.3[/tex]

[tex]P(A\ n\ B) = 0.06[/tex]

Convert to %

[tex]P(A\ n\ B) = 0.06 * 100\%[/tex]

[tex]P(A\ n\ B) = 6\%[/tex]

Arunner jogs 2 mi 120.3 yd. how far does the runner jog in meters?
round your answer to the nearest tenth of a meter.
conversion ratios:
1 m = 3.3 ft
3 ft = 1 yd
5,280 ft = 1 mi
1,760 yd = 1 mi
?

Answers

Answer:

To the nearest tenth of a meter, this is 3,309.4 m

Step-by-step explanation:

Here, we want to convert the jogging distance to meters only

we have 2 miles 120.3 yards

5,280 ft = 1 mile

2 miles will be 5,280 * 2 = 10,560 ft

3 ft = 1 yard

x ft = 120.3 yards

x = 120.3 * 3 = 360.9 ft

Adding both together to give ft only, we have

360.9 + 10,560 = 10,920.9 ft

1 m = 3.3 ft

x m = 10,920.9 ft

x = 10,920.9/3.3

x = 3,309.363636363636

To the nearest tenth of a meter, this is 3,309.4 m

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