31x m=217 what does the m mean i cant seem to figure that out.

katrin2010 [14]

Answer:

Step-by-step explanation:

Part a

We need two inequalities, one for time worked at each job and the other

for amounts of money earned.

time: Let b and c represent the time (number of hours) worked at babysitting and landscaping respectively. Then b + c ≤ 20 hrs/wk

earnings: Let ($3/hr)(b) represents the amount of money earned babysitting for b hour. Let ($7/hr)(c) represent the money earned working at landscaping. These amounts are <em>per week</em>. The appropriate inequality is ($3/hr)(b) + ($7/hr)(c) ≥ $84 per week. The other inequality is

b + c ≤ 20 hrs/wk.

Part b:

As before, b + c ≤ 20 hrs/wk. What happens if Chet spends all his 20 hours babysitting? To answer this, set c = 0 (no landscaping hours). Then b ≤ 20 hours. At $3/hr, he could earn only $60 and have no time left for landscaping. Not good.

Let's experiment: suppose he works 15 hours babysitting and 5 hours landscaping. His earnings would be $45 + $35, or $80. Still not enough; he wants to earn $84 total. Let's redistribute his time and try again: suppose he works 14 hours babysitting and 6 hours landscaping; his earnings would be $42 + $42, or $84. So {b = 14 hours and c + 6 hours} is a solution. As we continue to reduce the number of hours Chet works babysitting and correspondingly increase those he works landscaping, his earnings will go up, beyond $84.

Here's a table that summarizes this:

babysitting landscaping total amount

hours hours earned

15 5 $60 (not acceptable)

14 6 $84 (borderline acceptable)

12 8 $36 + $42 = $78 (great)

6 14 $116 (greater still)

2 18 $132

1 19 $134

0 20 $140

Summary: Chet can work anywhere from 0 to 14 hours babysitting and expect to earn $84 or more.

4 0

3 years ago

I will mark the brainiest! Please, and thanks! :)

Contact [7]

The best thing is to have a ruler with the appropriate units to construct these triangles;)

8 0

2 years ago

Will mark brainliest IF you explain and solve

TEA [102]

Answer:

A) y = (x + 3)² + 4

B) y = (x - 3)² + 2

C) y = (x - 1)² - 5

Step-by-step explanation:

2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)

As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to

"+ 4" to shift the curve upward by 2

y = (x + 3)² + 4

When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)

This means that the term in parenthesis must be zero with our desired x value

(3 + C)² = 0

3 + C = 0

C = -3

y = (x - 3)² + 2

4 units right and 7 units down mean that the vertex is desired at (1, -5)

(1 + C)² = 0

C = -1

y = (x - 1)² - 5

4 0

2 years ago

Find P(A or B) if the events are disjointed. P(A) =6/25 , and P(B) =9/25 .

nevsk [136]

Here, "disjointed" signifiies that Event A and Event B are independent; neither outcome influences the other. In such a case, the union of A and B is given by the sum of the two probabilities P(A) and P(B).

Here, that sum is P(A or B) = 6/25 + 9/25, or 15/25, or 0.6.

8 0

3 years ago

Read 2 more answers

Which equation has the least steep graph?

MAVERICK [17]

Answer:

$y=\frac{1}{4}x+6$