On the way back home, the Anderson family must stop at the gas station to fill up. What isthe total distance of their trip? Round your final answer to the nearest kilometer

Answers

Answer 1

Answer:

Answer:

The total distance will remain unchanged as the gas station is on their way to home.

Step-by-step explanation:

The total distance of the trip will the distance between home to the destination and way back. If the Anderson family is stopped to fill gas in their car. The total distance of the trip is not affected by the stop in their route. If the gas station is located far from the route they follow then the distance will change.

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Algebra question What is the solution to the following system?

(3, 1, 0)
(0, 1, 0)
(2, 1, 0)
(–2, 1, 0)

Answers

The solution to the following system is $(2,1,0)$ .

What is Algebra?

Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.

We have,

$3x+3y+6z=9$ $(i)$

$x+3y+2z=5$ $(ii)$

$3x+12y+12z=18$ $(iii)$

To find the solution to the above give algebraic equations,

We have to find values of $x,y,z$ .

So,

We will be putting $z=0$ in equation $(i)$ ,

$3x+3y+6(0)=9$

$3x+3y=9$ $(iv)$

Now,

We will be putting $z=0$ in equation $(ii)$ ,

$x+3y+2(0)=5$

$x+3y=5$

$x=5-3y$ $(v)$

Using equation $(iv)$ & $(v)$ ,

We get,

$3(5-3y) +3y=9$

$15-9y+3y=9$

$-6y=-6$

$y=1$ ,

Now we have value of $y=1$ , putting this value in equation $(v)$ ,

$x=5-3(1)$

$x=2$ ,

Hence, we can say that option $(2,1,0)$ is the correct answer.

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Answer:

C.(2,1,0)

Step-by-step explanation:

on edg

Find the slope through the points (2,4) and (6,12)

Answers

Answer:

The slope is 2

Step-by-step explanation:

Slope = $(rise(changeiny))/(run(changeinx)) =(y2-y1)/(x2-x1) =(12-4)/(6-2) =(8)/(4)$

8/4 reduces to 2/1 which makes the slope 2

What is 4/9(x+3)=g, solve for x?

Answers

$(4)/(9)(x+3)=g\ \ \ \ |multiply\ both\ sides\ by\ 9\n\n4(x+3)=9g\ \ \ \ |use\ distributive\ property:a(b+c)=ab+ac\n\n4x+12=9g\ \ \ \ |subtract\ 12\ from\ both\ sides\n\n4x=9g-12\ \ \ \ |divide\ both\ sides\ by\ 4\n\n\boxed{x=(9)/(4)g-3}$

$(4)/(9(x+3)) = g$

$(4(x+3))/(9) =g$

$4(x+3)=g*9$ $||Multiply- both -sides -by-\ \textgreater \ 9||$

$4(x+3)=9g$ $||Regroup -terms||$

$x+3= (9g)/(4)$ $||Divide- both -sides- by-\ \textgreater \ 4||$

$x= (9g)/(4) -3$

Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The system that represents Mira’s numbers is below.x – y = 4

x + y = 18

Which two numbers did Mira pick?

(10, 8)

(18, 4)
(20, 16)
(40, 32)

Answers

Based on the description, the system can be explained in equation form as x - y =4, an (x + y)/2 = 18. Based on these equations, we can plus in numbers from the given answers and come up with a solution where both equations are satisfied. The two numbers that satisfy both equations are (20, 16).

Let

x------> the first number

y-----> the second number

Assume $x> y$

we know that

$x-y=4$ ----> equation A

$(x)/(2)+ (y)/(2)=18$

Multiply by $2$ both sides

$x+y=36$ -----> equation B

Adds equation A and equation B

$x-y=4 \nx+y=36\n------- \n x+x=4+36\n 2x=40\n x=20$

Find the value of y

$20-y=4$

$y=20-4=16$

therefore

the answer is the option

$(20,16)$

Students had to pick their favorite sport from basketball, football, and hockey. 35% chose basketball and 28% chose hockey. What percentage chose football ?

Answers

Answer:

37%

Step-by-step explanation:

Add up the percentages and subtract them by 1.00:

35% & 28% = 0.35 & 0.28
0.35 + 0.28 = 0.63
1.00 - 0.63 = 0.37
0.37 = 37%

Good luck! :)

37% is the answer and no problem

If 0.05x=20 then x=

Answers

0.05x=20
-------- -------
0.05 0.05

×=400

x=20/0.05
x=400
therefore x is going to be 400

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