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erik [133]
3 years ago
9

Uma wants to buy a video game system for $270. She has $60 and is saving $30 each week. Solve the equation 30w + 60 = 270 to fin

d how many week w it will take Uma to save enough to buy the system.
A. 8 weeks
B. 6 weeks
C. 7 weeks
D. 9 weeks
Mathematics
2 answers:
Damm [24]3 years ago
8 0

Answer:

C.7 weeks

Step-by-step explanation:

Subtract 60 on both sides then you get: 30w=210, then divide both sides and you get w=7, so it'll take 7 weeks

Morgarella [4.7K]3 years ago
5 0

Answer:

C. 7 weeks

Step-by-step explanation:

30w + 60 = 270

        - 60    -60

subtract 60 from both sides of the equal sign.

30w = 210

We need to isolate the variable, which is (w), so divide both sides by 30.

w = 7

It will take 7 weeks for Uma to save enough money to buy the video game system. So the answer is (c).

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murzikaleks [220]

Answer:

\begin{cases}y=-5x+1\\y=5x-4 \end{cases}

Step-by-step explanation:

Slope-intercept form of a <u>linear equation</u>:

\boxed{y=mx+b}

where:

  • m is the slope.
  • b is the y-intercept (where the line crosses the y-axis).

<u>Slope formula</u>

\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}

<u>Equation 1</u>

<u />

Define two points on the line:

  • \textsf{Let }(x_1,y_1)=(-1, 6)
  • \textsf{Let }(x_2,y_2)=(0, 1)

<u>Substitute</u> the defined points into the slope formula:

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

y=-5x+1

<u>Equation 2</u>

<u />

Define two points on the line:

  • \textsf{Let }(x_1,y_1)=(1, 1)
  • \textsf{Let }(x_2,y_2)=(0, -4)

<u>Substitute</u> the defined points into the slope formula:

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

y=5x-4

<u>Conclusion</u>

Therefore, the system of linear equations shown by the graph is:

\begin{cases}y=-5x+1\\y=5x-4 \end{cases}

Learn more about systems of linear equations here:

brainly.com/question/28164947

brainly.com/question/28093918

5 0
2 years ago
Read 2 more answers
Cory's average score after 8 tests is 91%. If he gets a 78% on his 9th test what will his new average be?
Luda [366]
You should be able to multiply 91 by 8 to get the sum of the first 8 tests, then add the score on the 9th test. Then to get the average of the sum of the 9 tests you need to divide it by 9.
((91*8)+78)/9=89.555555555555.... So, 90%
3 0
4 years ago
Bethany s making trail mix with 3 cups of raisins for every 2 cups of peanuts
DaniilM [7]

Answer:

4 cups of raisins

3 cups of dates

6 cups of peanuts

and 2 cups of cashews

ratio cashews to raisins= 2:4

                                      = 1:2

ratio dates to peanuts= 3:6

                                   = 1:2

5 0
4 years ago
In a survey of 300 middle school students, 15% said they play sports after school. How many
blsea [12.9K]

Answer:

45

Step-by-step explanation:

15% of 100 = 15

15 x 3 = 45

5 0
3 years ago
I need help, it is urgent
quester [9]
Well for answer 23 is -6 √(5) + 6 √(2).
The answer for 25 is -3 √(5) - 2 √(6)
And the answer for 27 is -15 √(5) + 4 √(3) + 3 √(6)

Hope this helps :)
5 0
3 years ago
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