What types of units perimeter have

Answers

Answer 1

Answer: Perimeter is the distance all the way around something. It has units of length or distance, like inches, meters, or miles.

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A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sandwiches cost $7.75 eachand the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered?

A. 7

B. 8

C. 9

D. 10

Answers

x - the number of sandwiches ordered
y - the number of soups ordered

There were 18 people, and each person ordered either one soup or one sandwich.
$x+y=18$

The sandwiches cost $7.75 each, the soups cost $4.50 each. The total cost was $113.50.
$7.75x+4.5y=113.5$

Set up a system of equations:
$x+y=18 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |* (-4.5) \n7.75x+4.5y=113.5 \n \n-4.5x-4.5y=-81 \n\underline{7.75x+4.5y=113.5} \n3.25x=32.5 \nx=(32.5)/(3.25) \nx=10$

10 sandwiches were ordered.
The answer is D.

Find the 50th term of 0,3,6,9....

Answers

Answer:

The 50th term is 147

Step-by-step explanation:

The nth term of an AP can be find as:

$a_n=a+(n-1)d$

Where, a is the first term, d is the common difference, n is the number of term and $a_n$ is the nth term.

Now consider the provided AP: 0,3,6,9...

Here, the first term is 0, common difference is 3 and n is 50.

Substitute a = 0, d = 3 and n =50 in above formula.

$a_(50)=0+(50-1)3$

$a_(50)=0+(49)3$

$a_(50)=147$

Hence, the 50th term is 147

147 is the fiftieth term just multiply 3 by 50 and subtract 3

A van travels 300 miles on 15 gallons of gas. Find how many gallons the van needs to travel 360 miles.

Answers

Answer: The Van needs 18 gallons of gas to travel 360 miles.

Step-by-step explanation: Given that a Van travels 300 miles on 15 gallons of gas.

We are to find the number of gallons that the Van needs to travel 360 miles.

We will be using the UNITARY method to solve the given problem.

Number of gallons needed to travel 300 miles = 15.

So, number of gallons needed to travel 1 mile will be

$(15)/(300)=(1)/(20).$

Therefore, the number of gallons needed to travel 360 miles is given by

$(1)/(20)* 360=18.$

Thus, the Van needs 18 gallons of gas to travel 360 miles.

Amount of gas required to travel $360\text{ miles}$ is $\boxed{\bf 18\text{\bf\ gallons}}$ .

Further explanation:

The word problems can be solved from the unitary method.

The unitary method is a method in which we have to first find the value of a single unit then further find the required value by multiplying the single unit value.

Given:

A van travelled $300\text{ miles}$ on $15\text{ gallon}$ of gas.

Calculation:

Step 1:

First we have to find the number of gallons in one mile.

It is given that the number of gallons needed to travel $300\text{ miles}$ is equal to $15\text{ gallon}$ .

Use the unitary method to calculate the number of gallons in one mile.

It is calculated as follows:

$\begin{aligned}\text{Number of gallon}&=(15)/(300)\n&=(1)/(20)\end{aligned}$

Step 2:

Now, we have to calculate the number of gallons needed to travel in $360\text{ miles}$ .

Use the unitary method to calculate the required value by multiplying the single unit value.

The number of gallons in one mile is $(1)/(20)$ .

Therefore, the number of gallons in $360\text{ miles}$ is calculated as follow:

$\begin{aligned}\text{Number of gallon}&=(1)/(20)\cdot 360\n&=18\end{aligned}$

Thus, the Van requires $\boxed{\bf 18\text{\bf\ gallons}}$ of gas to travel $360\text{ miles}$ .

Learn more:

1) Learn more about magnitude of the acceleration of the speeding phase brainly.com/question/1597065

2) Learn more about Algebraic expression for the word phrase isbrainly.com/question/1600376

3) Learn more about to solve the equations for the variable brainly.com/question/1682776

Answer details:

Grade: Junior school

Subject: Mathematics

Topic: Unitary method

Keywords: Van, gallons of gases, miles, travels, number of gallons, unitary method, multiply, single unit, linear equation, distance, equation.

Substitution method 2x+8y=20 y=2

Answers

the answer is X=2 if you are trying to find X

Los puntos (-4,4) y (2,3) estan ubicados en la linea H .¿cuales el pendiente de la linea H?

Answers

pendiente = ( y2 - y1 ) / ( x2 - x1 )

(x,y)
(-4,4)
(2,3)

x1=-4
y1=4
x2=2
y2=3

pendiente = ( 3 - 4 ) / ( 2 - (-4) )

pendiente = ( -1 ) / ( 2+4 )

pendiente = -1/6

You read 9.759.75 pages in your science book and 24.524.5 pages of a play for English class. It takes you 1.21.2 minutes to read each page of science and 0.80.8 of a minute to read each page of the play. How much time do you spend reading?

Answers

Answer: You spent 31.39 minutes reading.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given ( you write the numbers doubled, 9.759.75 is 9.75)

If you read 9.759.75 pages in your science book and it takes you 1.2 minutes to read each page, we simply have to multiply the numbers of pages by the time spent for each page.

9.75 pages x 1.21 minutes = 11.79 minutes

We do the same thing for the play:

24.5 pages x 0.8minutes = 19.6 minutes

Finally, we sum both results:

11.79 m + 19.6 m =31.39

You spent 31.39 minutes reading.

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