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3 years ago

13

Jeffrey is going to charge an initial fee of $10 for mowing lawns, plus an hourly rate. He knows that he wants to charge a total

of $40 to mow his neighbor's yard, and it will take him 2 hours to complete the job.
At the same rate, how much should he charge another customer for a 4-hour job?

1 answer:

AfilCa [17]3 years ago

8 0

Answer:

$160 was the total to the 4 hour job. Correct me if I'm wrong.

Step-by-step explanation:

x=10

y=40

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How many solutions does the following equation have?

Marysya12 [62]

Answer:

b) no solution

Step-by-step explanation:

What you always want to do in this type of problem is to combine all of your "like terms," where like terms are the part of your equation that have the same variable (or no variable). In this equation, we see three terms that have the variable "z". We can add the 12z + 15z on the left side to get 27z, and then we subtract 27z on both sides to cancel both of the 27z terms out.

Now, we are left with -6 = -5 (because we got rid of all the terms with the variable z in them). We know that -6 does not equal -5, and therefore, there is no number that we can assign to variable z such that the left side of the equation will equal the right side of the equation.

Therefore, there is no solution (because a solution to the equation would be a value that we can plug into the variable z to make the equation true).

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2 years ago

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There are 5 green jelly beans, 7 red jelly beans and 8 yellow jelly beans. What percent of the jelly beans are red?

s2008m [1.1K]

Answer: 35%

Step-by-step explanation:

8 + 5 + 7 = 20

50% = 10

25% = 5

10% = 2

5% = 1

25% + 10% = 5+2

35% = 7

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3 years ago

Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

$m = \frac{y_2 - y_1}{x_2- x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

$m = \frac{y_2 - y_1}{x_2- x_1}$

$m = \frac{1 - 0}{2-0}$

$m = \frac{1}{2}$

Next, we determine the line equation using:

$y - y_1 = m(x -x_1)$

Where

$m = \frac{1}{2}$

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

<em>This point is on the graph</em>

<em></em>

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

<em>This point is not on the graph</em>

<em></em>

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

<em></em>

<em>This point is not on the graph</em>

<em></em>

<em></em> $(\frac{4}{8},\frac{2}{8})$ <em></em>

<em></em> $x = \frac{4}{8}$ and<em> </em> $y = \frac{2}{8}$ <em></em>

<em>Substitute </em> $\frac{4}{8}$ <em> for x and </em> $\frac{2}{8}$ <em> for y in </em> $y = \frac{1}{2}x$ <em></em>

<em></em> $\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$ <em></em>

<em></em> $\frac{2}{8} = \frac{1 * 4}{8 * 2}$ <em></em>

<em></em> $\frac{2}{8} = \frac{4}{16}$ <em></em>

<em></em> $\frac{1}{4} = \frac{1}{4}$ <em></em>

<em></em>

<em>This point is on the graph</em>

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2 years ago

Which equation(s) represents a proportional relationship?

enyata [817]

Answer:

A and C are proportional relationships.

Step-by-step explanation:

Recall that a "proportional relationship" has no constant term. Thus, we eliminate Answers B and D immediately.

Answer A represents a proportional relationship: y varies directly with the square of x.

Answer C also represents a proportional relationship: y varies directly with x.

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2 years ago

Which algebraic expression models the sum of 3 coins and c coins?

SpyIntel [72]

3+c i think that the answer.

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2 years ago