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Nastasia [14]
3 years ago
10

Write the standard form of the equation of

Mathematics
1 answer:
Vikki [24]3 years ago
4 0

Answer:

5y +3x=  25

3y -2x= - 12

Step-by-step explanation:

An equation in standard form is:

Ax + By = c\\

Solving (a):

Given

m = -\frac{3}{5} --- slope

b = 5 --- y intercept

Required: Determine the equation

An equation has the form:

y = mx + b

Substitute values for m and b

y = -\frac{3}{5}x + 5

Multiply through by 5

5y = -3x + 25

Add  3x to both sides

5y +3x= 3x-3x + 25

5y +3x=  25

Solving (b):

Given

m = \frac{2}{3} --- slope

b = -4 --- y intercept

Required: Determine the equation

An equation has the form:

y = mx + b

Substitute values for m and b

y = \frac{2}{3}x -4

Multiply through by 3

3 * y = (\frac{2}{3}x -4) * 3

3y = 2x - 12

Subtract 2x from both sides

3y -2x= -2x+2x - 12

3y -2x= - 12

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2 years ago
Marian went shopping and bought clothes for $66.17 and books for $44.98. She then had a meal at the mall for $20.15. Which is th
scZoUnD [109]

Answer:

Either 130 or 131 would be acceptable.

Step-by-step explanation:

When we estimate, we do not use exact values.

66.17 is close to 66

44.98 is close to 45

20.15 is close to 20

           

Add the estimates together: 66+ 45+ 20 = 131

We could also estimate 66.17 to 65 which would give us an estimate of 130




6 0
3 years ago
Read 2 more answers
Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his
Alborosie

Answer: 8t+581

Step-by-step explanation:

<h3> The complete exercise is: "Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his two jobs. Let "t" be the number of hours Omar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."</h3><h3 />

Let be "t" the number of hours Omar worked as a tutor this month and "w" the number of hours Omar worked as a waiter this month.

Based on the data given in the exercise, you know that Omar worked a combined total of 83 hours this month.

Then, you can represent the number of hours he worked as a waiter this month with this equation:

w=83-t

Since he earns  $15 per hour working has a tutor and $7 per hour working as a waiter, you can write the following expresion to represent the total money earned:

15t+7w

Since w=83-t, you can substitute it into the expression and then simplify it in order to find the final expression that represents the total amount of money Omar earned this month.

This is:

15t+7(83-t)=15t+581-7t=8t+581

4 0
3 years ago
Complete the function table and write the function rule.
arsen [322]
To finish the table lets see what the differences are between the input (x) and the output (Y)

when input is 32 the output is 20, 32-20 = 12
when input is 14 the output is 2, 14-2 = 12

since the top 2 have the same result, the output is the input minus 12 
 now that we know that we can finish the table:

when the input is ? the output is -6, so the input = -6 +12 = 6
check: 6-12 = -6 true

when the input is -10, we subtract 12 to get -22 for the output
 so the missing input is 6 and the missing output is -22

 the function rule would be Y=x-12



6 0
2 years ago
Evaluate 4y-3 for y=1
Neko [114]

Answer:

1

Step-by-step explanation:

4(1)-3=?

4-3=1

8 0
3 years ago
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