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ser-zykov [4K]
3 years ago
15

Tim and Tom are trying to earn money to buy a new game system over a 3-month period. Tim saved $45.38 each month. If they need a

total of $212.70 to buy the game system, how much does Tom need to earn each of the 3 months in order to buy the game system?
Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

76.56

Step-by-step explanation:

45.38 × 3=136.14

212.70-136.14=76.56

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Two step equation, <br>1/2x + 13=9
AveGali [126]
That's the answer
-You have to multiply each side by 2
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And then calculate
26-18=x
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5 0
3 years ago
Solve the system of equations 7x+10y=36 y=2x+9
Damm [24]

Answer:

x = -2

y = 5

Step-by-step explanation:

Given two equations

1. 7x + 10y = 36

2. y = 2x + 9

Substitute 2x + 9 for y in equation 1.

We have

7x + 10y = 36

7x + 10(2x + 9) = 36

Distribute 10 into (2x + 9)

We have

7x + 10 x 2x + 10 x 9 = 36

7x + 20x + 90 = 36

27x + 90 = 36

Subtract 90 from both sides to eliminate 90 on the left side

27x + 90 - 90 = 36 - 90

27x = -54

Divide both sides by 27 to isolate x

27x/27 = -54/27

x = -2

Now substitute -2 into either equation to get y

Using equation 2, we have

y = 2x + 9

= 2 x -2 + 9

= -4 + 9

= 5

x = -2

y = 5

Check

7(-2) + 10(5) = 36

5 0
3 years ago
What would be a equation for (5,2) and (0,7)?
Genrish500 [490]

\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{5}}}\implies \cfrac{5}{-5}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{5}) \\\\\\ y-2=-x+5\implies y = -x+7

6 0
3 years ago
A Write an equivalent equation that does NOT contain decimals.
vampirchik [111]

                                                     <span>0.5x - 0.1 = -2.9

When you multiply each side of an equation by the same number,
you don't change the equation or its solution.  If you want to get rid
of the decimals, you could  multiply each side by  10.  Then the
equation is

                                                     5x - 1  =  -29

You should be able to solve that without help.
But I'm about to take your points, so here's
how to solve that equation:

                                            </span><span><span>5x - 1  =  -29

Add  1  to each side:        5x        =  -28

Divide each side by  5 :     x         =  -28 / 5

Simplify the solution:          x         =  -5 and 4/5 .

Again ... this is the same solution as the original equation
if we hadn't gotten rid of the decimals.

</span></span>
5 0
3 years ago
The National Center for Educational Statistics surveyed 5400 college graduates about the lengths of time required to earn their
fenix001 [56]

Answer:

The 90% confidence interval for the mean time required by all college graduates is between 5.36 years and 5.44 years.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*\frac{1.9}{\sqrt{4500}} = 0.04

The lower end of the interval is the sample mean subtracted by M. So it is 5.4 - 0.04 = 5.36 years.

The upper end of the interval is the sample mean added to M. So it is 5.4 + 0.04 = 5.44 years.

The 90% confidence interval for the mean time required by all college graduates is between 5.36 years and 5.44 years.

3 0
3 years ago
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