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3 years ago

Write an equation in slope intercept form given the following m = 5/4 and passing through (- 4, - 3)

1 answer:

8 0

Y = 5/4x + 2

y - (-3) = 5/4 ( x - (-4))

1. Distribute 5/4

y + 3 = 5/4x + 5

2. Subtract three to collect like terms

y = 5/4x + 2

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A stack of $20, $50, and $100 bills was retrieved as part of a police investigation. There were 42 42 more $50 bills than $1

Misha Larkins [42]

Answer:

The number of $100 bills was 27.

The number of $50 bills was 69.

The number of $20 bills was 189.

Step-by-step explanation:

Let x be the number of $20 bills, y the number of $50 bills, and z the number of $100 bills.

Since there are three unknown values, we need three equations to solve the problem, all of them can be extracted from the question itself, two as the ratios between different bills and the last one as the sum of the total value of the money :

$y=z+42\\x=7*z\\20x+50y+100z = 9,930$

Substituting the first equations into the last, it is possible to find the value for z:

$20(7z)+50(z+42)+100z = 9,930\\z=\frac{9,930-2100}{290} \\z=27$

Knowing that there were 27 $100 bills, we can go back to the first two equations to find x and y:

$y=z+42=27+42\\y= 69\\x=7*z=7*27\\x= 189$

The number of $100 bills was 27.

The number of $50 bills was 69.

The number of $20 bills was 189.

6 0

3 years ago

Find 60% of the number 60.

faust18 [17]

60% of 60

60% × 60

60/100 × 60

60/10 × 6

6/1 × 6

6 ×6

Ans : 36

8 0

3 years ago

Read 2 more answers

When the point (-3,7) is dilated with the center of dilation at the origin, then the image of

Karo-lina-s [1.5K]

Answer:

4.25

Step-by-step explanation:

To find the scale factor divide the image coordinates by the original coordinates, that is

scale factor = $\frac{-12.75}{-3}$ = $\frac{29.75}{7}$ = 4.25

7 0

3 years ago

Read 2 more answers

You can work at most 20 hours next week. You need to earn at least $90 to cover your weekly expenses. Your dog walking job pays

Vadim26 [7]

Answer:

The answer in the procedure

Step-by-step explanation:

Let

x ----> the dog walking hours

y ----> the car washing hours

we know that

The system of linear inequalities is equal to

$x+y\leq20$ -----> inequality A

$9x+10y\geq 90$ -----> inequality B

Solve the system of inequalities by graphing

The solution is the shaded area

see the attached figure

Two possible combinations of hours are

(10,10) and (0,9)

Verify

For (10,10)

Substitute the value of x and the value of y in both inequalities

Inequality A

$10+10\leq20$

$20\leq20$ -----> is true

Inequality B

$9(10)+10(10)\geq 90$

$190\geq 90$ ----> is true

therefore

(10,10) is a possible solution

For (0.9)

Substitute the value of x and the value of y in both inequalities

Inequality A

$0+9\leq20$

$9\leq20$ -----> is true

Inequality B

$9(0)+10(9)\geq 90$

$90\geq 90$ ----> is true

therefore

(0,9) is a possible solution

5 0

3 years ago

Can someone please help me???

bazaltina [42]

A. (4)5 x (4)4 = 36 OR 4(5 x 4) = 36
b. No you would not. 5(5 x 4) = 45 which is out of your budget.

8 0

3 years ago