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xenn [34]
3 years ago
10

Liam uses 2 quarts of yellow paint and adds 3 1/4 Jars of blue paint.Evan uses 1/2 quarts of yellow paint and adds 5 1/2 of red

paint.They end up with the same volume of paint.write an equation to show it.
Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

Answer:

2 + (13/4)x = 1/2 + (11/2)y

Step-by-step explanation:

Let each jar of paint used by Liam be x

Let each jar of paint used by Evan be y.

Liam uses 2 quarts of yellow paints and adds 3 1/4 jars of blue paint. so we have

2 + 3 1/4x

= 2 + (13/4)x

Since Evan also uses 1/2 quarts of yellow paints and add 5 1/2 jar of red paint, we have

1/2 + 5 1/2y

= 1/2 + (11/2)y

Since they end up with the same volume of paint, we have

2 + (13/4)x = 1/2 + (11/2)y

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What is the result of subtracting the second equation from the first?
Ronch [10]

Answer:

-5x + 0y = -11

The y terms are eliminated

Step-by-step explanation:

- 4x – 2y = -2

X - 2y = 9

We want to subtract the second equation from the first

Distribute a minus sign to all the terms in the second equation

- 4x – 2y = -2  

X - 2y = 9

= (-5x + 0y = -11)

6 0
3 years ago
Write 28/20 and 70/50 as fractions in simplest form. then determine whether the ratios form a proportion.
jeyben [28]
28/20 in simplest form is: 7/5
70/50 in simplest form is 5/7
Because,
28/20 divided by 2 is 14/10, divided by 2 again is: 7/5
70/50 divided by 2 is 25/35, divided by 2 again is: 5/7
5 0
3 years ago
josh is on his way home in his car. He has driven 18 miles so far,which is two- thirds of the way home, what is the total length
marta [7]
In order to do this problem:
Divide
18/(2/3)=
27
The answer is 27 miles
6 0
3 years ago
Hal, Zelda, Maya , and Jason each recorded the height and age of 5 classmates. They used the data to create the tables below.
Artemon [7]
Zelda every 2 years she grows 1 inch
5 0
3 years ago
A tourist boat is used for sightseeing in a nearby river. The boat travels 2.4 miles downstream and in the same amount of time,
topjm [15]

Answer: the current of the river is 3 mph.

Step-by-step explanation:

Let x represent the current of the river.

The boat travels 2.4 miles downstream. Assuming it travelled with the current of the river. If the boat travels at an average speed of 21 miles per hour in the still water, it means that the total speed at which the boat travelled downstream is

(21 + x) mph

Time = distance/speed

Time taken to travel downstream is

2.4/(21 + x)

it travels 1.8 miles upstream. Assuming it travelled against the current of the river. it means that the total speed at which the boat travelled upstream is

(21 - x) mph

Time taken to travel upstream is

1.8/(21 - x)

Since the time taken to travel upstream and downstream is the same, then

2.4/(21 + x) = 1.8/(21 - x)

Cross multiplying, it becomes

2.4(21 - x) = 1.8(21 + x)

50.4 - 2.4x = 37.8 + 1.8x

2.4x + 1.8x = 50.4 - 37.8

4.2x = 12.6

x = 12.6/4.2

x = 3 mph

7 0
3 years ago
Read 2 more answers
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