1. There are two differnt maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 40 km. The scale on the second map is 1 cm to 50 km. What is the distance from Cleveland to Cincinnati on the second map?
2. Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50 . Elenas bedroom door is 0.8 m wide. How wide should the door be on the scale drawning?

Answers

Answer 1

Answer:

1.  0.8 cm

2.  1.6 cm

Step-by-step explanation:

1.

The scale for 2nd map is 1 cm to 50 km, that means "1 cm on map" is "50 km in real life".

We already know distance from Cleveland to Cincinnati is 40 km, which is less than 50, so we know the distance on map would be less than 1 cm.

So we set up ratio and figure out (let x be distance on map from Cleveland to Cincinnati):

[tex]\frac{1}{50}=\frac{x}{40}\\50x=40\\x=\frac{40}{50}\\x=0.8[/tex]

Hene, 0.8 centimeters would be the distance in 2nd map

2.

A scale of 1:50 means 1 cm equal 50 cm

So, 0.8m would be

0.8 * 100 = 80 cm

Hence, 80 cm would be represented by 80/50 on the map, that is:

[tex]\frac{80}{50}=1.6[/tex]

That is 1.6 centimeters


Related Questions

Helppp it’s due today!!

Answers

Answer: 15 + c = 64

Step-by-step explanation:

we need to do 15 + 64

C represents her age, which would be 49, if you needed to know

Therefore the equation is 15 + c

7.
A holiday meal cost $12.50 a person plus a delivery fee of $30.
Which equation represents the amount a holiday meal
costs(y), including delivery, for x people?

Answers

Answer:

12.50x+30

Step-by-step explanation:

Answer:

[tex]y = 12.5x + 30[/tex]

Step-by-step explanation:

We are given the following information in the question:

Cost of a holiday meal = $12.50

Delivery fee = $30

Cost(y) represents the amount a holiday meal including delivery for x people.

[tex]cost = (\text{Cost of meal}\times x) + \text{Delivery chareges}[/tex]

Putting all the values,

[tex]y = 12.50\times x + 30\\y = 12.5x + 30[/tex]

The above equation gives the total amount of holiday meal for x people including the delivery charges.

Six times a number equals 3 times the number, increased by 12. Find the number

Answers

Answer:

x=4

Step-by-step explanation:

"A number" can be rewritten as X:

6x=3x+12

1) subtract 3x on both sides:

3x=12

2) divide both sides by 3:

x=4

If f(x) = 3x2 + 1 find f(6).
109
5/3
325

Answers

Plug in 6 for x. This will give you 3(6)^2+1 which is (3*36)+1 which is 109.

Answer:

The answer is 109.

Do you use the Monarch school program?? Looks just like mine!

through a point not in a plane are an infinite number of lines parallel to the plane always sometimes never

Answers

Answer:

sometimes

Step-by-step explanation:

i think sometimes

Answer:

ALWAYS!!

Step-by-step explanation:

What is lcm of 5 , 6 and 7

Answers

Answer:

210

Step-by-step explanation:

Since the three numbers have no factors in common, you can get the LCM by multiplying all three numbers.

Which of the following represents the additive identity?
1. ab = ab
2. a x 1 = a
3. a+b = b+a
4. a + 0 = a

Answers

Answer:

4. a + 0 = a

Step-by-step explanation:

The zero means that it is the additive property.

Answer:

a + b = a

Step-by-step explanation:

Additive identity- the number 0; when added to any number, the value of the number does not change.

Which is the graph of g(x) = x - 16?

Answers

Answer: See attached graph

Evaluate the variable expression for x = 5, and enter your answer in the box
below.
7•(x-8)-3

Answers

Answer:

-18

Step-by-step explanation:

I used order of operations. first. you want to go the thing in parentheses. then I times it by 7 and minuses it by 3

Final answer:

The evaluation of the given mathematical expression 7•(x-8)-3 for x = 5 results in -24.

Explanation:

To evaluate the variable expression 7•(x-8)-3 for x = 5, we substitute the value of x into the expression.

This becomes 7•(5-8)-3, which simplifies to 7•(-3)-3, or -21-3. Therefore, the evaluation of the given expression for x = 5 is -24.

Learn more about Variable Expression Evaluation here:

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Use the properties of exponents to complete the equivalent expression.

Answers

Answer:

15

Step-by-step explanation:

We can multiply powers with the same base

x^4⋅x^2=(x⋅x⋅x⋅x)⋅(x⋅x)=x^6

Final answer:

Properties of exponents are rules used to simplify mathematical expressions involving exponents. Examples are Power of a Power which means adding exponents when multiplying two expressions with the same base, and Quotient of Powers which is subtracting exponents when dividing two expressions with the same base.

Explanation:

The question is about the properties of exponents. In mathematics, the properties of exponents refer to the rules that guide how expressions involving exponents are handled. For example, when you multiply two expressions with the same base, you add the exponents (also known as the Power of a Power property). So, an exponent like x^3 * x^2 simplifies to x^(3+2) = x^5.

Another example is the quotient of powers property, where you subtract the exponents when dividing two expressions with the same base. So, an expression like x^5 / x^3 simplifies to x^(5-3) = x^2.

These are just a couple of the basic properties of exponents. Other properties include the power of a product, the power of a quotient, zero exponent, and negative exponent. Each of these properties follows specific rules to simplify the expression involving exponents.

Learn more about the properties of exponents,

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An article fills 5/8 of a magazine page. A
related photo takes up 1/4 of the article. How
much of the page is taken up by the photo?​

Answers

Answer:

35

Step-by-step explanation:

bundles tundra dismay chard bff dusk m u

Based on the given information,  the photo takes up 5/32 of the page.

How much of the page is taken up by the photo?​

To find out how much of the page is taken up by the photo,  multiply the fraction representing the article's portion of the page (5/8) by the fraction representing the photo's portion of the article (1/4).

First,  calculate the fraction representing the photo's portion of the page:

(5/8) * (1/4) = 5/32

Therefore, the photo takes up 5/32 of the page.

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Your bank account balance is −$20.85. You deposit $15.50. What is your new balance?

Answers

Your new balance=$-5.35

Answer:

[tex]-5.35[/tex]  [tex]dollars[/tex]

Step-by-step explanation:

Currently, your bank account balance is [tex]-20.85[/tex]  [tex]dollars[/tex]

You then [tex]deposited^{1}[/tex]  [tex]15.50[/tex]  [tex]dollars[/tex]

This means:

That you added $15.50 into your bank account balance, so:

-$20.85 + $15.50

==> -5.35

FOOTNOTE:

Deposited - put or set down

Charmaine will run less than 26 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run? Use t for the number of additional miles she will run. Write your answer as an inequality solved for t

Answers

Answer:

18+t<26

t={1,2,3,4,5,6,7}

Step-by-step explanation:

18+t<26

alright, so you know that she will run less than 26. That means she cannot run 26 or 27 or any more miles than that.

She can run 19, 20, 21, 22, 23, 24, or 25 miles in total from her starting point which is 18.

She already ran 18 miles. If she ran one more it would be 19, if she ran 2 more it could be 20. But she CAN NOT pass 25 miles. (it is not less than OR equal to)

so let me put it like this:

18+1<26 yes because 18+1=19 which is less than 26

18+2<26 yes because 18+2=20 which is less than 26

18+3<26 yes because 18+3=21 which is less than 26

18+4<26 yes because 18+4=22 which is less than 26

18+5<26 yes because 18+5=23 which is less than 26

18+6<26 yes because 18+6=24 which is less than 26

18+7<26 yes because 18+7=25 which is less than 26

18+8<26 NOOO because 18+8=26 which is NOT less than 26 (it's equal, not less than)

I really hoped this help please ask me more ill be happy to help. Also if u understood can I get the brainliest?

Estimate 815-281 to get the answer

Answers

Answer:800-300

Step-by-step explanation:

since there is a 1 after the 8 it would go down to 800 and there is a 8 after the 2 so it would go up to 300

Answer:

The estimated answer is 780.

Step-by-step explanation:

Given : Expression [tex]815-28[/tex]

To find : Estimate the expression ?

Solution :

Estimation is to approximate the number to its nearest value for making calculation easier.

Estimate 815 as 810.

Estimate 28 as 30.

So, Substituting these values

[tex]810-30=780[/tex]

Therefore, The estimated answer is 780.

(Picture Included) Can someone help me on 5?

Answers

The mean would be 32 (I think)

Answer:

43

Step-by-step explanation:

Anna has the following averages in his math class.
REPORT
CARD
Homework Avg: 95
Quiz Avg: 90
Test Avg: 87
Final Exam: ?
If the teacher weights homework at 20%, Quizzes at 20%
Tests at 40% , and the final exam at 20%, what is the
minimum grade Anna can make on the final so that she
scores a 90 in the class?
a. 86
b. 91
C.
d
94
98

Answers

Answer:

b) 91

Step-by-step explanation:

Step 1: Multiple marks by its weights

Homework average: 95 x 20% = 19

Quiz average: 90 x 20% = 18

Test average: 87 x 40% = 34.8

Final exam: y x 20% = 0.2y

Step 2: Add all weighted averages and find y

19+18+34.8+0.2y = 90

71.8 + 0.2y = 90

y = 18.2/0.2

y = 91

Therefore, Anna needs to score minimum 91 in the final exam so that she can score a 90 in class.

Option b is correct.

!!

Which mixed number is equvilent to thevimproper fraction 23/6

Answers

6 goes into 23 - 3 times

remainder 5 (3 and 5/6)
6 goes into 23, 3 times. Remainder 5 (3 and 5/6)

Which is bigger 0.999 or 1.0?

Answers

Answer:1.0

Step-by-step explanation: 0.999 repeating is not a whole number like 1.0

Answer:

1.0

Step-by-step explanation:

Look at where the numbers are placed, in regards to the decimal point.

If a number is 1 place before a decimal point (For example 5.0) it is in the ones place.

If a number is 1 place after a decimal point (For example 0.1) It is in the tenths place.

Any numbers that are to the right the decimal are smaller than numbers to the left!

A shoe store offers a frequent-buyers card. Each transaction is worth 10 points, and customers
automatically earn 22 points when they sign up.
Enter the function rule for the transaction function, where p represents the number of transactions.
The function rule is N (p)=__
In graphing the function,___
would be the slope and___
would be the y-intercept.

Answers

Answer:

N(p) = 22 + 10p

In graphing the function, N(p) = 22 + 10p

would be the slope and 10;

and 22 would be the y-intercept.

Step-by-step explanation:

Let p represents the number of transactions.

Each transaction is worth 10 points, then p transactions are worth 10p points.

Customers automatically earn 22 points when they sign up.

The total amount of points is

N(p) = 22 + 10p

In graphing the function, N(p) = 22 + 10p

would be the slope and 10;

and 22 would be the y-intercept.

5(8g+5-2)

Please explain
Will give thanks and brainliest

Answers

Answer:

[tex]15 + 40g[/tex]

Step-by-step explanation:

Use the Distributive Property to figure this out:

[tex]5(8g + 5 - 2) \\ 40g + 5(5 - 2) \\ 40g + 5(3) \\ \\ 40g + 15[/tex]

* The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

Write 10 x 10 x 10 x 10 x 10 x 10 with an exponent. Explain how you decided what exponent to write

Answers

10x10x10x10x10x10=1000000

[tex] {10}^{6} [/tex]

means 10x10x10x10x10x10

as it's basically saying 10 is multiplied by itself 6 times which gives you 1000000

The expression 10 × 10 × 10 × 10 × 10 × 10 can be written with an exponent as [tex]10^{6}[/tex]

What is an exponent?

In Mathematics and Geometry, an exponent can be represented or modeled by this mathematical expression;

[tex]b^n[/tex]

Where:

the variables b and n are numbers (numerical values), letters, or an algebraic expression.n is known as a superscript or power.

Based on the information provided above, we can logically deduce the following expression;

10 × 10 × 10 × 10 × 10 × 10

[tex]10^{1+1+1+1+1+1}=10^{6}[/tex]

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What is the base of the triangle when the area is 120ft and the height is 8ft

Answers

The base is 30.

Hopefully I got this correct, not 100%

Answer: 30 ft

Step-by-step explanation:

Area of a triangle= (bh)/2

* multiply both sides by 2

2A=bh

*divide by h

(2A)/h=b

*substitute values

(2x120)/8=b

240/8=30

What is the solution of the following system?

-2x-y=1
-4x-2y=-1

A. infinitely many solutions
B. no solutions
C. (3,8)
D.(-3,-8)

Answers

B

when we multiply the equation and subtract equatio 2 from equation 1 the result is 0=-4 and 0=2

Answer:  The correct option is

(B) no solution.

Step-by-step explanation:  We are given to find the solution of the following system of equations :

[tex]-2x-y=1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-4x-2y=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

From equation (i), we have

[tex]-2x-y=1\\\\\Rightarrow y=-2x-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

Substituting the value of y from equation (iii) in equation (ii), we get

[tex]-4x-2(-2x-1)=-1\\\\\Rightarrow -4x+4x+2=-1\\\\\Rightarrow 2=-1,[/tex]

which can never be possible.

Thus, the given system of equations have no solution.

Option (B) is CORRECT.

A school district purchased 615 new laptops for their mobile labs. Each computer cost $409. What is the total cost for all of the laptops?

Answers

Answer: $251,535 is the total cost for all the laptops.

Step-by-step explanation:

615×409= 251,535

Answer:

[tex]total\ cost=\$251,535[/tex]

Step-by-step explanation:

For this exercise it is important to analize the information provided in the exercise.

According to the exercise, the of cost each computer is:

[tex]cost=\$409[/tex]

You know that the school district purchased 615 new laptops for their mobile labs; therefore, in order to calculate the total cost for all the laptops purchased, you must multiply the cost of one laptop ($409) by 615.

Therefore, you get that the total cost is the following:

[tex]total\ cost=(\$409)(615)\\\\total\ cost=\$251,535[/tex]

Subtract 5m-2 from m-7

Answers

Answer:

-4m-5

Step-by-step explanation:

The trick here is knowing not to combine terms with variables with terms that don't have variables.

[tex]m-7-(5m-2)\\m-7-5m+2\\m-5m-7+2\\-4m-5[/tex]

So the answer is -4m-5

Answer:

-4m - 5

Step-by-step explanation:

[tex](m-7)-(5m-2)\\\\=m-7-5m-(-2)\\\\=m-7-5m+2\qquad\text{combine like terms}\\\\=(m-5m)+(-7+2)\\\\=-4m-5[/tex]

What is the constant of proportionality from the equation y=7.25x

Answers

The answer is 7.25 it’s the only number in the problem

A chef wants to make 2 quarts of salad dressing. Currently, he has 18 parts oil, and 4 parts vinegar. How much oil must be added to get 24 parts oil and 3 parts vinegar? Write and solve an equation.

Answers

Answer:

24 plus 18 plus 2 plus 4 plus three

What time is 5 1/4 hours after 7:00 p.m.

Answers

Answer:

9 or 10

Step-by-step explanation:

because you add the hours

Definiton of numerator?

Answers

The numerator is the number above a fraction bar. It indicates how many parts of the whole.

Answer: the part of a fraction that represents how many equal parts are being counted

Step-by-step explanation:

For example

1/6 the one is a numerator

What is 5.9 rounded to

Answers

Answer:

6

Step-by-step explanation:

It would round to 6, anything higher than 5 will round up anything 4 or lower will be rounded down.


(Assuming it’s rounding to a whole number )
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