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Anika [276]
3 years ago
15

Liz works as a lifeguard at her community pool and at the beach on Saturday she worked at the pool for 6 hours and earned $46.50

on Sunday she worked at the beach for 5 hours and earn $46.25 how much more per hour did Liz Hernandez the beach then at the pool​
Mathematics
2 answers:
Norma-Jean [14]3 years ago
6 0

Answer:

1.50

Step-by-step explanation:

You want to find how much more per hour Liz earned at the beach.

First, find the unit rate for each lifeguarding job.

At the pool, Liz earned $46.50 for 6 hours of lifeguarding.

$46.50÷6

6hours÷6

=

$7.75

1hour

At the beach, Liz earned $46.25 for 5 hours of lifeguarding.

$46.25÷5

5hours÷5

=

$9.25

1hour

Then, subtract the unit rates.

$9.25–$7.75=$1.50

Liz made $1.50 more per hour at the beach than she did at the pool.

zmey [24]3 years ago
5 0

Answer:DK

Step-by-step explanation:

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When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel
xz_007 [3.2K]

Answer: option B. it has the highest y-intercept.

Explanation:

1) point -slope equation of the line

y - y₁ = m (x - x₁)

2) Replace (x₁, y₁) with the point (5,3):

y - 5 = m (x - 3)

3) Expand using distributive property and simplify:

y - 5 = mx - 3m ⇒ y = mx + 5 - 3m

4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept

⇒ slope = m

⇒ b = 5 - 3m = y - intercept.

Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.

Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).

7 0
3 years ago
Read 2 more answers
Solve by elimination:
Pie

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

6 0
3 years ago
Sarah needs to have a plumber come to her house and fix a leaky faucet in her bathroom. The plumber charges $50 to come to her h
klio [65]

Answer:

Sarah can have the plumber work on her faucet for six (6) hours maximum

Step-by-step explanation:

Hi

As Sarah has only $234.50 in her savings and the plumber charges $50 just to come to her home, so left-over $184.50 of her saving for pay work hours.

Then as the plumber charges $30.75 per hour we have that \frac{\$ 184.50}{\$ 30.75/h}=6h is the maximum amount of hours that Sarah can have the plumber work on her faucet.

3 0
3 years ago
Please help me I have a limited time
Usimov [2.4K]

Answer:

c = 96°

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The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

c is an exterior angle, thus

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8 0
3 years ago
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otez555 [7]

Answer:

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7 0
3 years ago
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