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schepotkina [342]
3 years ago
12

3/4x - 5y = 7 X = -4y + 12 solve by substitution ! show work pls !!

Mathematics
1 answer:
tamaranim1 [39]3 years ago
8 0
When using substitution, we are imputing an equation in place of a variable to eliminate one of the variables in the equation so that we can solve for the remaining variable.

For this example, we will be plugging in (-4y+12) wherever "x" is in the other equation.

3/4 x -5y = 7
3/4(-4y+12) -5y =7
((3/4)(-4y))+((3/4)12)-5y=7
-3y+9-5y=7
-8y= -2
y=(1/4)


Now find "x" by plugging in the y-value.
x=(-4*(1/4))+12
x= -1 +12
x=11

any questions? feel free to comment below!
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Charlie reads quickly . He reads 1and3/7 pages every 2/3 minutes.How many pages does he read pre minute?
SVETLANKA909090 [29]
Hello there!

First, we need to admit that math is a hard subject. So, how do we handle hard stuff? We find an easy way. Right?

Well same goes here. They give the fractions to drive us crazy. Let's find the easiest way...

The easiest way is to turn them into decimals.
1 3/7 = 1.42 which is the amount of pages he reads
2/3 = 0.67 minute.

The are asking us how many pages does he reads per minute.

So we gonna say:
Charlie reads 1.42 pages ......> 0.67
Charlie reads x pages.............> 1minute

Cross multiply

0.67 * x = 1 * 1.42
0.67x = 1.42
x = 1.42/0.67
x = 2.11

So, Charlie reads 2.11 pages in 1 minute.


I hope this helps. Please let me know if you have questions about the answer.

Thanks!


5 0
3 years ago
HELP i have three questions can anyone help this is a exam please hurry and answer with a,b, c, or d.
k0ka [10]

Answer:


Step-by-step explanation:

d

8 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!​
Troyanec [42]

Answer:

Step-by-step explanation:

p + n + d + q = 25

Put everything into quarters.

p and q are equally likely to be drawn

q + n + d + q = 25

There are 3 times as many nickels as quarters

n = 3q

q + 3q + d + q = 25

There is 25% more dimes than quarters.

d = 1.25 q

q + 3q + 1.25q + q = 25

6.25 q = 25

q = 25/6,25

=====================

q = 4

p = 4

d = 1.25 * 4 = 5

n = 12

8 0
3 years ago
Smallest to largest. Here are four decimal numbers: 0.9, 0.5, 0.8, 0.1
Pani-rosa [81]

Answer:

0.1,0.5,0.8,0.9

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The average American spent $8,508 on health care in 2011. The cost of health care is projected to rise about 5.8% per year for t
klio [65]
<h3>The projected amount the average American spent on health care in 2014  is $ 10075.91</h3>

<em><u>Solution:</u></em>

Given that,

The average American spent $8,508 on health care in 2011

The cost of health care is projected to rise about 5.8% per year for the years 2012-2022

<em><u>The increasing function is given as:</u></em>

y = a(1+r)^t

Where,

y is future value

a is initial value

r is growth rate in decimal

t is number of years

From given,

a = 8508

r = 5.8 \% = \frac{5.8}{100} = 0.058

t = 2011 to 2014 = 3 years

<em><u>Substituting the values, we get,</u></em>

y = 8508(1 + 0.058)^3\\\\y = 8508(1.058)^3\\\\y = 8508 \times 1.1842\\\\y = 10075.914 \approx 10075.91

Thus the projected amount the average American spent on health care in 2014  is $ 10075.91

4 0
3 years ago
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