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Phoenix [80]
3 years ago
12

Lester worked 12 hours last week at the grocery store and earned $93.00. If he continues to earn the same hourly pay, how many a

dditional hours must he work to earn another $62.00?
Mathematics
2 answers:
Nikitich [7]3 years ago
6 0

Answer:8 hours

Step-by-step explanation:

Given Lester worked 12 hours last week at the Grocery Store and earned $93.00

Using Unitary method to get 1 hour pay

i.e. for 1 hour Lester is paid \frac{93}{12}=$7.75 per hour

To earn $62 dollar Lester has to work for another

\frac{62}{7.75}=8 hours

Thus Lester has to work for 8 hours to earn $62.

kykrilka [37]3 years ago
4 0
93 / 12 = 7.75

so Lester earns $7.75 a hour.

if he earns $62 how many hours did he work.

so 62 = 7.75 (h)

62/ 7.75 = 8

so he worked 8 hours.
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The airplane reaches a height of 5000 meters after approximately 4.5 minutes.
kodGreya [7K]

Answer:

Step-by-step explanation:

The answer is 110 minutes. Just did this on Khan Academy :)

8 0
3 years ago
Which ordered pair is a solution of the equation? 2x+4y=6x−y
Bezzdna [24]

Answer:

Step-by-step explanation:

"Which ordered pair" implies that there were several answer choices for this problem.  It's important that you share such answer choices.

2x+4y=6x−y reduces to 5y = 8x, and so y = (8/5)x

If we choose x = 2, then y = (8/5)(2) = 16/5 is a solution of the given equation.  There are an infinite number of such solutions.  All lie on the line y = (8/5)x.

6 0
3 years ago
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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
EleoNora [17]

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
7 0
3 years ago
PLS help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Darina [25.2K]

9514 1404 393

Answer:

  y = -1

Step-by-step explanation:

Sides marked with the same marking are congruent, so we have two equations:

  • 3x -y = 16
  • 2x +y = 9

Adding the equations gives ...

  5x = 25

  x = 5 . . . . . . divide by 5

Then the second equation tells us ...

  y = 9 -2x = 9 -2(5) = -1

The value of y is -1.

5 0
3 years ago
Triangle ABC is similar to triangle PQR, as shown below:
natita [175]

Answer:

\frac{q}{b}=\frac{r}{c}

Step-by-step explanation:

Consider the options for this question are as follow,

  • \frac{q}{c}=\frac{r}{b}
  • \frac{c}{p}=\frac{b}{a}
  • \frac{c}{a}=\frac{q}{r}
  • \frac{q}{b}=\frac{r}{c}

Here, In triangles ABC and PQR,

AB = c, BC = a, AC = b, PQ = r, QR = p and PR = q,

Since,

\traingle ABC\sim \triangle PQR

We know that,

The corresponding sides of similar triangles are in same proportion,

Thus,

\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}

\frac{c}{r}=\frac{a}{p}=\frac{b}{q}

\frac{r}{c}=\frac{p}{a}=\frac{q}{b}

\implies \frac{q}{b}=\frac{r}{c}

3 0
3 years ago
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