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Morgarella [4.7K]
4 years ago
6

The answer using substitution method

Mathematics
1 answer:
Lera25 [3.4K]4 years ago
5 0
Ok so the equations are
4(x-2)=19-5y 
3(x-2)-2y=-y
So just solve for one variable on one equation 
4x-8=19-5y
Which will get you y=-4x/5 +27/5
Then just substitute x in on the other equation, so
3(x-2) - 2 (-4x/5+27/5) = 4x/5 - 27/5
And then just solve, so you would get
x=3, and plug this into another equation, and get also y=3.
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To control his weight, Joel reduced his calorie intake from 2500 calories to 1950 calories each day. What was his percent of dec
garik1379 [7]

Answer:

22% decrease. Joel is consuming 78% of the amount of calories he previously consumed.

Step-by-step explanation:

1950 = 2500x

x = 1950 / 2500

x = 0.78

1 - 0.78 = 0.22

5 0
3 years ago
Read 2 more answers
Resultado de la operación -2-(5-3)+4
murzikaleks [220]

Answer:

0

Step-by-step explanation:

-2-(5-3)+4

-2-2+4

-4+4

0

5 0
2 years ago
Tyrone has $500 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he wil
Marrrta [24]

Answer:

\$522.78

Step-by-step explanation:

Let

x ---> the number of years

y ---> the amount in the account balance

Plan A

we have a linear equation of the form

y=mx+b

where

The slope is equal to

m=\$100\ per\ year

The y-intercept or initial value is

b=\$500

substitute

y=100x+500

For x=10 years

substitute

y=100(10)+500=\$1,500

Plan B

we have a exponential growth function of the form

y=a(1+r)^x

where

a=\$500\\r=15\%=15/100=0.15

substitute

y=500(1+0.15)^x

y=500(1.15)^x

For x=10 years

substitute

y=500(1.15)^{10}=\$2,022.78

Find the difference of the two account balances after 10 years

\$2,022.78-\$1,500=\$522.78

3 0
3 years ago
You are offered two jobs. One with a yearly salary of $51,670, and the other an hourly
sattari [20]

Step-by-step explanation:

a year = 52 weeks

a year working hours = 45× 52 = 2340 hours

first job rate per hour = $51670 ÷ 2340 hours

= $22

sec job rate per hour = $26

5 0
3 years ago
A polar bear swims 390 meters at a constant rate in 150 seconds. what is the speed of the polar bear?
worty [1.4K]
The answer is 2.6 m/s

The speed (v) is distance (d) through time (t).
v = d/t

We know:
d = 390 m
t = 150 s

v = d/t
v = 390 m / 150s
v = = 2.6 m/s
5 0
4 years ago
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