1. a+b+c+d 2. -a+b-c+d 3. ab+cb 4. ab-bc 5. ba+da

Savannah earns $247.00. How many hours did she work?

vivado [14]

Answer:

1. 8.25

2. Savannah

3.

Earnings of Savannah: $190

Earnings of Greg: $180

Earnings of Kevin: $165

4. 26 Hours

5. 55.55 hours (or 56 hours)

Step-by-step explanation:

Full Question Shown in the Image Attached.

1.

Constant of Proportionality is the constant value (k) of two proportional quantities.

Here, it is hours vs. wage.

It is usually y divided by x.

In this problem, hours worked is "x" and wage is "y". We can take the first row of Kevin's wages from table and find the constant of proportionality.

$\frac{Wage}{Hour}=\frac{16.5}{2}=8.25$

Thus, the constant of proportionality is 8.25

2.

We can find the highest hourly wage by first finding the unit rate, or the hourly wage for each person. Then we will compare between the 3 person.

For Savannah:

We divide the total wage (Earned Column) divided by Hours.

$\frac{19}{2}=9.5$

Hourly wage is 9.5

For Greg:

We do the similar division shown below:

$\frac{27}{3}=9$

Hourly wage is 9

For Kevin:

Again, doing the same process, we get:

$\frac{16.5}{2}=8.25$

Hourly wage is 8.25

By comparing the hourly wages of 3 people, we see that the highest hourly wage is that of Savannah's.

3.

We know hourly wage for each person. To know how much each one makes if they work 20 hours, we have to multiply 20 with their respective hourly wages.

Earnings of Savannah: 20 * 9.5= $190

Earnings of Greg: 20 * 9 = $180

Earnings of Kevin: 20 * 8.25 = $165

4.

Since she earn's $247 and her hourly wage is 9.5, we can find the hours she worked by dividing her earnings (247) by the hourly wage (9.5). Hence,

$\frac{247}{9.5}=26$

Thus, Savannah worked 26 hours

5.

For Greg to earn 500 dollars, we need to divide his earnings (500) by his hourly wage, which is $9 per hour. Thus we have:

$\frac{500}{9}=55.55$

So, Greg needs to work 55.55 hours to earn $500. If fractional hours are not possible, then Greg needs to work 56 hours.

7 0

3 years ago

Solve |2x – 3| = 11. Show each step of your work.

Klio2033 [76]

Answer:

x =7 or x = -4

Step-by-step explanation:

|2x – 3| = 11

There are two solutions to an absolute value equation, one positive and one negative

2x-3 =11 or 2x-3 = -11

Add 3 to each side

2x-3+3 = 11 +3 2x-3+3 = -11+3

2x = 14 2x = -8

Divide each side by 2

2x/2 =14/2 2x/2 = -8/2

x =7 x = -4

8 0

4 years ago

Which point is the best approximation of the relative maximum of the polynomial function graphed below?

GarryVolchara [31]

Answer:

The best approximation is the point $(-1.4, 16.9)$

Step-by-step explanation:

we know that

Observing the figure

The x-coordinate of the relative maximum belong to the interval ----> $(-2, -1)$

The y-coordinate of the relative maximum belong to the interval ----> $(15, 20)$

see the attached figure to better understand the problem

therefore

The best approximation is the point $(-1.4, 16.9)$

8 0

3 years ago

Read 2 more answers

Find the given measures

bonufazy [111]

Answer:

Step-by-step

8 0

3 years ago

Read 2 more answers

What are the answers

Yanka [14]

Total cans on bottom 4 shelves = 29 x 4 = 116
total cans on top 3 shelves = 42 x 3 = 126
total cans = 116 + 126 = 242 cans

-------------------------------------------------------------

used cans = 56
remaining cans = 242 - 56 = 186 cans
number of cans in each shelf = 9
number of shelves = 186/9 = 20 and 6 cans remaining
remaining 6 cans will be displayed in another shelf

total shelves = 20+1 = 21

6 0

4 years ago

Read 2 more answers