Jill is using a map of her town to determine how far the park is from school. The map does not have a scale, but Jill knows her school is 3 miles from home. On the map, the distance between home and school measures 1.5 inches. If the park is 2.5 inches from the school on the map, what is the actual distance in miles?

Answers

Answer 1

Answer:

The answer is five miles.

Step-by-step explanation:

Here’s one way to solve this problem.

First, write the ratio of the known distance on the map to the corresponding actual distance, one point five inches over three miles.

Next, choose a variable, such as d, to represent the unknown distance between the school and the park.

Then, write the ratio of the distance from the park to the school on the map to the corresponding actual distance, two point five inches over d miles.

Next, write a proportion equating the two ratios.

Now, cross multiply.

Finally, divide both sides by one point five to arrive at the actual distance, five miles.

So, the actual distance between the park and the school is five miles.

Answer 2

Answer:

5 miles!

Step-by-step explanation:

Hope this is helpful ^>^


Related Questions

A survey found that women's heights are normally distributed with mean 62.6 in. And standard deviation 2.5 in. The survey also found that men's heights are normally distributed with mean 68.3 in. And standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. And a maximum of 64 in. If the height requirements are changed to exclude only the tallest​ 50% of men and the shortest​ 5% of​ men, what are the new height​ requirements?

Answers

Answer:

The new height requirements are minimum of 64.1875 inches and maximum of 68.3 inches

Step-by-step explanation:

To exclude the tallest 50% of men and shortest 5% of men, we need to find the critical z-value for a significance level of 0.5 & 0.05 and then solve for x in the z-score equation.

For significance value of 0.5, z = 0

We are given;

μ = 68.3 in

σ = 2.5 in

Thus from z = (x - μ)/σ, we have;

0 =(x - 68. 3)/2.5

0 = x - 68. 3

x = 68.3 inches for men max

Similarly, for significance value of 0.05, z = -1.645

Thus to find x;

-1.645 = (x - 68. 3)/2.5

-4.1125 = x - 68.3

x = 68.3 - 4.1125

x = 64.1875 inches for men min

4x+2y-7x-z+8
What is the like terms

Answers

Answer:

4x and 7x

Step-by-step explanation:

Answer:

4x and -7x that is the answer

Select all of the expressions that are equivalent to 4v5.

Answers

Answer:

The answer is A and D.................................

Find the value of d so the line that passes through (a,b) and (c,d) has a slope of 12.

Answers

Answer:

d = 12c-12a+b

Step-by-step explanation:

The formula for calculating the slope of a line passing through two points (x1, y1) and (x2, y2)is expressed as:

m = y2-y1/x2-x1

Given the coordinates  (a,b) and (c,d) and slope m = 12

Substitute into the formula as shown:

m = d-b/c-a

12 = d-b/c-a

Make d the subject of the formula:

12 = d-b/c-a

cross multiply

12(c-a) = d-b

12c-12a = d-b

add b to both sides

12c-12a + b = d-b+b

12c-12a + b = d

Hence d = 12c-12a+b

Tabitha's mom gave her $10.00 to buy school supplies. Tabitha needs to buy 2 pens and some notebooks. If each pen costs $1.99 and each notebook costs $2.99, how many notebooks can Tabitha buy using only the money her mom gave her?

pls help ;c (40 points)

Answers

She could only get two notebooks because the total after she got her two pens would be 8 dollars and u can’t divide that by three so you would do two which is your answer
She can buy 2 notebooks.

Help me please! What’s m

Answers

Answer:

should be 60 right?

Step-by-step explanation:

a triangle =180 degrees

angle be is 60

60+60+60 =180

not a very good explanation but im almost certain the answer is 60

Answer:

A = 60°

Step-by-step explanation:

B is equal to 60°, so 60 + 80 = 120

180° - 120° = 60°

Pls Brainliest, it would help a lot! ;)

Describe the end behavior of the graph f(x) using limits.

Answers

Answer:

um

Step-by-step explanation:

The end behavior of the graph f(x) using limits are

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Option B is the correct answer.

We have,

From the graph,

As the x-value increases, the function y-values goes to -∞.

As the x-value decreases, the function y-values goes to -∞.

Now,

f(x) is the y-value.

The end behavior of the graph f(x) using limits can be represented as,

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Thus,

The end behavior of the graph f(x) using limits are

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

Last year, 320 students were members of Pine Hill Middle School clubs. This year, there was a 20% increase in memberships. How many students are members this year?

Answers

Answer:

384

Step-by-step explanation:

No. of students in the club last year = 320

No. of students in the club this year increased by 20%

To find the actual increase, 20% is multiplied by the number of students in the club last year which is 320 and to find the number of students in the club this year add the answer to 320 (the number of students in the club last year)

That is,

= 20% * 320

= 20/100 * 320

= 64

Finding the number of students in the club this year

320 + 64 = 384 students

NOTE : Increase means addition that is why the number of students in the club last year is added to the actual increase

Find the distance between the points -6.2 and -9.8.Show your work for full credit.

Answers

Answer:

it is 3.6

Step-by-step explanation:

it's in the pictures below.

Dons plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Write the equation modeling this situation.

Answers

Answer:

15x+40

Step-by-step explanation:

x would be the number of hours he is at the home

What is the image point of (0, -1) after a translation left 5 units and down 1 unit?

Answers

Answer:

The point is (-5, -2).

Step-by-step explanation:

Translation to the left means subtract from x value. Translation down means subtract from y value.

Answer:

(-5,-2)

Step-by-step explanation:

Subtract 5 from the x value

Subtract 1 from the y value

Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Aaron afford this? Explain a. Yes, he can make the purchase and still have money left over. b. Yes, but doing so will clear out his account. c. No, purchasing that would overdraw his account. d. No, he is overdrawn already.

Answers

Answer:

Yes, but doing so will clear out his account.

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

Aaron's bank account has a balance of $1213.69 before he starts spending money. He makes the following transactions:

Transaction

Cost ($)

Car payment

260.16

Groceries

97.98

Parking ticket

75.00

DVD box set

115.35

Antique lamp

68.53

Suit

331.84

Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Aaron afford this? Explain a. Yes, he can make the purchase and still have money left over. b. Yes, but doing so will clear out his account. c. No, purchasing that would overdraw his account. d. No, he is overdrawn already

Aaron's bank account balance=$1213.69

He made all this transactions below;

Car payment

260.16

Groceries

97.98

Parking ticket

75.00

DVD box set

115.35

Antique lamp

68.53

Suit

331.84

The summation of all his transactions is;260.16+97.98+75.00+115.35+68.53+

331.84= $948.86

Which means after performing those transactions above, he was left with $948.86.

We were informed that Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83.

For him to paint his car now he will spend $264.83, if we add with the previous transactions it sum up to $1213.69 which was actual amount he has at hand. I.e ($264.83+$948.86)=

$1213.69

Therefore, the answer is Yes, but doing so will clear out his account.

Three students were given the expression shown and were asked to take a

common factor out of two of the terms.

Use the drop-down menus to complete the statements about whether each

student's answer is an equivalent expression. Then choose an expression

that is equivalent



4 - 9x + 21

Answers

Step-by-step explanation:

The question is incomplete. Find the complete question attached.

Let us analyze each of the students expression and determine the correct one if there are any.

Chang expression after factoring: 4-3(3x+7)

In order to know whether chang's factorization is similar to the expression, we will expand and compare with the given expression as shown;

= 4-3(3x+7)

Open the parenthesis

= 4 - 3(3x)-3(7)

= 4 - 9x - 21

This shows that Chand expression is wrong.

Hence Chang expression is not an equivalent expression because when -3 is factored out from the bracket,  it supposed to leave a negative sign instead of positive.

Benjamin expression after factoring: 4+3(3x+7)

In order to know whether Benjamin's factorization is similar to the expression, we will expand and compare with the given expression as shown;

= 4+3(3x+7)

Open the parenthesis

= 4 + 3(3x)+3(7)

= 4 +9x + 21

This shows that Benjamin expression is wrong.

Hence Benjamin expression is not an equivalent expression because the positive values within the expression is supposed to be negative sign instead

Habib expression after factoring: 4+12x

The equation is obviously wrong and not an equivalent expression because the constant value 21 does not have a variable x and cannot be added to -9x according to what Habib did.

Given the expression

4 - 9x + 21

The correct simplification of the expression is as shown;

4 - 3(3x - 7)

Note that when -3 is factored out, the sign inside the parenthesis also changes

If two angles are adjacent, then they have a common ray

Answers

Answer:

There are some special relationships between "pairs" of angles. Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but do not overlap.) ... A Linear Pair is two adjacent angles whose non-common sides form opposite rays.

Step-by-step explanation:

What is 330000 in standard to scientific notation?

Answers

Answer:

3.3*10^5

Step-by-step explanation:

Answer:

3.3 * 105

Step-by-step explanation:

Write the number between 1 and 9 and place decimal accordingly. So, the answer is 3.3 multiplied by 10 raised to power 5.


What is the equation of the line using the information
below?
m= 10 and b=-3
Equation=


Answers

The answer is Y=10x-3 if that’s the type of equation you wanted.

Answer:

y= 10x-3

Step-by-step explanation:

If you are using the y=mx+b model, the above answer is correct. M represents the slope and B represents the y-intercept.

What is the value of -42 +(5-2)(-6)?
0-34
0 -2
10
O 34

Answers

Answer:its A (-34)

Step-by-step explanation:

I took the test

The amount of money Irene earns for walking dogs is shown in the table.
How much money in dollars does Irene earn for walking 15 dogs?
Irene's Earnings
Dogs Walked 2 4
6
8
Money Earned $10.50 $21.00 $31.50 $42.00
Your answer

Answers

Answer:$5.25

Step-by-step explanation:

is easy just do 10.50 divided by 2 and your answer is $5.25

How do you evaluate a function.

Answers

Answer:

to evaluate a function, substitute the input

Step-by-step explanation:

(the given number or expression) for the function variable (place holder, x) replace the x with the number or expression. 1. given function f (x)=3x -5 finf (f) 4.

Express the following equation in slope-intercept form:

y-11 = -5/2 (x + 8)

Answers

Answer:

hope this helps :)

Step-by-step explanation:

y=−[tex]\frac{5}{2\\}[/tex]x−9

4(2q – 3) = 8q-12

Pls solve and show steps

Answers

Answer:

LHS = RHS = -12

Step-by-step explanation:

=> 4(2q - 3 ) = 8q - 12.

=> 8q - 12 = 8q - 12 .

=> 8q - 8q - 12 = -12 .

=> -12 = -12 .

Hence LHS = RHS .

[tex]4(2q - 3) = 8q - 12[/tex]

[tex]8q - 12 = 8q - 12[/tex]

[tex]8q + - 12 = 8q + - 12[/tex]

[tex] - 12 - 8q = - 12 - 8q[/tex]

[tex] - 12 = - 12[/tex]

[tex] - 12 + 12 = - 12 + 12[/tex]

[tex]0 = 0[/tex]

By the above equation , we can conclude that any real number can be placed in the place of q to make the left hand side of the equation become equal to the right hand side of the equation .

Therefore , any real number ( integer , fraction and rational number ) can be placed in the place of q .

Use the described technique to solve the equation describing the following problem:
A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no starting fee. At which distance (in kilometers) will the price of taking an Uber be equal to the price of taking a city taxi?

Answers

Answer:

Taxi Driver: 9+2x=

Uber Driver: 5x=

So we just gotta keep multiplying until we find where they’re equal. So let’s assume that when we can get the Taxi Drivers price to have a 5 in the tens place or a 0 in the tens place. By the looks of it, they will meet at 15$ for that to happen let x=3, which would make the taxi driver’s equation 9+2(3), 9+6=15$, and the uber driver’s equation would be 5(3)=15$. X=3 or X=distance in kilometers.

-9m-8+4m combine like terms ?

Answers

Answer:

-8-5m

Step-by-step explanation:

Multi-step Equations
12) -(7 - 4x) = 9

Answers

Answer:

4

Step-by-step explanation:

-7+4x=9

4x=16

x=4

So if you rewrite the equation it’s like -1*(7-4x)
So you do -1*7 which is -7 and -1*-4x, which is 4x. So you then have -7+4x. Then you add 7 to both sides, getting 4x equals 16. You divide both by 4, making x=4
X=4

Last one
7(5k-25)=35

Answers

Answer:

7(5k-25)=35- distribute

35k-175=35- add 175 to both sides

35k = 210- divide

k=6

Step-by-step explanation:

can you guys please help​

Answers

Answer:

I cant read all of that. Im sure others ant either.

Step-by-step explanation:

Answer:

i cant read it for some reason, can you type it?

Step-by-step explanation:

nash is training for a marathon and decided to run 26 miles every week,in the first week the ratio of the number of miles he ran to the number of miles he walked was 3:10 he ran 6 miles n first mirst week he ran 16 miles in the 5 week how many miles id he improved by from week 1 to week 5

Answers

Answer:

Step-by-step explanation:

10

Suppose that you earned a​ bachelor's degree and now​ you're teaching high school. The school district offers teachers the opportunity to take a year off to earn a​ master's degreee. To achieve this​ goal, you deposit $ 5000 at the end of each year in an annuity that pays 6.5 % compounded annually.

a. After 5 ​years, you will have approximately= ​$

​(Do not round until the final answer. Then round to the nearest dollar as​ needed.)


b. The interest is approximately= ​$


​(Use the answer from part a to find this​ answer.)

Answers

Answer: a. After 5 ​years, you will have approximately= $ 6,850.43 .

b. The interest is approximately =$ 1850.43

Step-by-step explanation:

Given: Principal amount (P) =  $5000

Rate of interest (r)= 6.5%  = 0.065

n= 1  (compounded annually)

a) Time (t) = 5 years

Formula for accumulated amount  :

[tex]A=P(1+\dfrac rn)^{nt}[/tex]

Then,

[tex]A=5000(1+0.065)^5\\\\=5000(1.065)^5\\\\=5000(1.37008666342)\\\\\approx \$\ 6850.43[/tex]

Hence, After 5 ​years, you will have approximately $ 6,850.43 .

b) Compound interest = A-P

= $ 6,850.43 - $ 5,000

= $ 1850.43

Hence, The interest is approximately $ 1850.43.

I need help with the first question

Answers

Answer:

Subtract 2k from both sides.

4k−3−2k=2k+5−2k

2k−3=5

Add 3 to both sides.

2k−3+3=5+3

2k=8

Divide both sides by 2.

2k /2 =8/2

k=4

Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below. Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 66 + 36 = 3 (22 + 12)

Answers

Step-by-step explanation:

Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

GCF (greatest common factor) = 6

Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. He wrote it as :

66 + 36 = 3 (22 + 12)

But he is wrong. He multiplied (22+12) by 3 which is wrong. The correct step should be :

66 + 36 = 6 (11+ 6)

= 6(17)

= 102

Hence, this is the required solution.

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