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Lelu [443]
3 years ago
13

Peter is saving for a down payment of $50,000 for a new home. Yesterday, he created an equation that models his current savings

plan to
determine how long it will take him reach his goal. In his model, y represents the total amount saved and x represents the number of months
since yesterday. Which statement is true?
Step 1:
Step 2:
30,000
Step 3:
y= 30,000 + 2,000x
y - 30,000 = 30,000 + 2,000x-
y - 30.000 = 2,000x
y - 90,000 2,000
2,000 = 2,000
Step 4:
y
- 30,000
Step 5:
2,000 = x
50,000 - 30,000
=x
2,000
Step 6:
Step 7:
10 = x
O A.
Peter used the division property of equality in step 4.
OB.
Peter used the substitution property in step 5.
C.
Peter used the subtraction property of equality in step 5.
OD. Peter used the associative property in step 6.
Mathematics
1 answer:
garik1379 [7]3 years ago
7 0

Answer:

A. step 4

Step-by-step explanation:

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What are the coordinates of the midpoint of GH with endpoints (-2,5) and<br> H(4,1)?
kozerog [31]

Answer:

(1, 3)

Step-by-step explanation:

Given coordinates of 2 endpoints, G(-2, 5) and H(4, 1), midpoint of AB is calculated as shown below:

Midpoint (M) of GH, for G(-2, 5) and H(4, 1) is given as:

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Let G(-2, 5) = (x_1, y_1)

H(4, 1) = (x_2, y_2)

Thus:

M(\frac{-2 + 4}{2}, \frac{5 + 1}{2})

M(\frac{2}{2}, \frac{6}{2})

M(1, 3)

Coordinates of the midpoint of GH = (1, 3).

6 0
3 years ago
A scientist removed a sample of 39.1 grams of a chemical from a container. The sample was 5 3/4 grams less than 3/10 of the tota
Oksanka [162]

The first thing we must do for this case is to define variables:

x: the total mass of the chemical in the container

y: a sample of a chemical from a container

We have the following equation:

y = (3/10) x - 5 3/4

Then, for y = 39.1 we have:

39.1 = (3/10) x - 5 3/4

Clearing x:

(3/10) x = 39.1 + 5 3/4

(3/10) x = 44.85

x = (10/3) * (44.85)

x = 149.5 grams

Answer:

the total mass in grams of the chemical in the container before the scientist removed the sample of 39.1 grams was:

x = 149.5 grams.

3 0
3 years ago
Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How
mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

D=C+4...(1)

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be D+3 and C+3 respectively.

We can represent this information in an equation as:

D+3+C+3=13...(2)

From equation (1), we will get:

C=D-4

Upon substituting this value in equation (2), we will get:

D+3+D-4+3=13

Combine like terms:

2D+2=13

2D+2-2=13-2

2D=11

\frac{2D}{2}=\frac{11}{2}

D=5.5

Therefore, Robert's dog is 5.5 years old right now.

3 0
3 years ago
HELP FAST FAST FAST
Rus_ich [418]

Answer:

h=3in  

Step-by-step explanation:

A=a+b

2h

Solving forh

h=2A

a+b=2·13.5

3+6=3in

3 0
3 years ago
The circumference of super eight is four times the conference at Circle B which statement about the areas of the circle is true
ICE Princess25 [194]
When you have factors in shapes you must remember:
circumference and perimeter are in one unit measures
area is in squared units
volume is in cubed units

So, when the circumference of A is 4 times that of C there is a factor of 4.
Since we need to know the area the factor 4 will change to a factor of 4² since area is a squared unit.

The solution is 4²=16, the are of circle A is sixteen times the area of circle B.
4 0
3 years ago
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