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3 years ago

Simplify the expression by combining like terms. 22+5m−4m+7n−8

Mathematics

2 answers:

rewona [7]3 years ago

6 0

Answer: The simplified form by combining like terms is given by

$14+m+7n$

Step-by-step explanation:

Since we have given that

$22+5m-4m+7n-8$

Now, we combine the like terms :

1) First we collect m terms :

$22+5m-4m+7n-8\\\\=22+m+7n-8\\\\$

2) Combine n terms and constant terms :

$=22-8+m+7n\\\\=14+m+7n$

Hence, the simplified form by combining like terms is given by

$14+m+7n$

ser-zykov [4K]3 years ago

6 0

Answer:

m+7n+14

Step-by-step explanation:

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maksim [4K]

<h2>As the graph shows the cost of apples at a local market, Use the graph to answer problems 1-3</h2>

Part 1)

What is the cost of 1 apple and of 3 apples? How do you know?

Answer:

From the given graph which shows the cost of apples at a local market, it is clear that:

When we buy 1 apple, the cost is indicating 0.5+ (0.5/2) = 0.5+0.25 = $0.75

We know because x-axis is representing the number of apples and y-axis is representing the cost.

Therefore, when the number of apples is 1 on x-axis, then the cost is showing $0.75 on y-axis.

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We know because x-axis is representing the number of apples and y-axis is representing the cost.

Therefore, when the number of apples is 3 on x-axis, then the cost is showing $2.25 on y-axis.

Part 2)

What does the point (0, 0) represent in this context?

The (0, 0) represents the origin of the graph.

It means that the cost will be zero US dollars if you do not buy any apple. In other words, for 0 number of apples, the cost will be $0.

Part 3)

What does the point (2, 1.5) represent in this context?

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3 years ago

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

vivado [14]

Answer:

1. 8.25

2. Savannah

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.

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

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.

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

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

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.

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3 years ago