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blsea [12.9K]
3 years ago
14

Hi! Can anybody help me with these problems? I have to do 2 step equations.

Mathematics
2 answers:
Dovator [93]3 years ago
6 0
1) 3.8x + 5.2x - 6.7 = 11.3
9x = 11.3 + 6.7
9x = 18
x = 18/9
x = 2

2) 7.8y - 4.9 - 5.4y = 2.3
2.4y = 7.2
y = 7.2/2.4
y = 3

3)

\frac{2}{3} x - 5 = 1
\frac{2}{3} x = 5 + 1
\frac{2}{3} x = 6

Multiply by 3 by both sides:

3 \times \frac{2}{3} x = 3 \times 6

Simplify:

2x = 18
x = 18/2
x = 9

4)

\frac{7}{5} y = 3 - \frac{1}{5}

Do lowest common denominator:

\frac{7}{5} y = \frac{(5 \times 3) - 1}{5}
\frac{7}{5} y = \frac{15 - 1}{5}
\frac{7}{5} y = \frac{14}{5}

Simplify by 5 by both sides:

7y = 14
y = \frac{14}{7}
y = 2
zzz [600]3 years ago
4 0

Answer:


Step-by-step explanation:

for question number one you want to first combine like terms:

  1.   9x-6.7=11.3  
  2. 9x=18
  3. x=2

for number 2 you should teh smame:

  1. 2.4y-4.9=2.3
  2. 2.4y=7.2

so as long as you combine like terms then proceed to solve you should get the right answers

                                               

   

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If 16 cups equals one gallon than one 1/4 gallon equal cups
hoa [83]
Well...this is a proportion problwm. for every 16 cups I have 1 gallon, so I can write that as:

16 cups
-----------
1 gallon

this value will be proportional to 1/4 a gallon equal "so many" cups. let's equal the unknown about of cups to x.

16 cups______ x cups
-----------.... = ..... ----------
1 gallon _____ 1/4 gallons

I can cross multiply to find x.

1 gallon • x cups = 16 cups • 1/4 gallons

16 times 1/4 is the same as 16/4, which equals 4.

1 gallon • x cups = 4 cups gallons

divide both sides by gallons

x cups = 4 cups

so! 1/4 of a gallon equals 4 cups.
8 0
4 years ago
Find the L.C.M of the given pair of numbers using the prime factors method. 70 and 84​
Allisa [31]

2| 70,84

2|35,42

3|35,21

5|35,7

.|5,7

LCM=2×2×3×5×5×7=2100

5 0
3 years ago
Read 2 more answers
Please help i’m stuck in this and don’t know what to do
Sergio039 [100]
4 unit rate is 124. 5 unit rate is 16 6 unit rate is 60
8 0
3 years ago
Find the value of x.
Nostrana [21]

Answer:

21.6 degrees

Step-by-step explanation:

the sum of angles in a triangle is 180 degrees

71 + x + (4x-11) = 180

open the brackets

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3 years ago
You are mowing a lawn. After 12 minutes, 52% of the lawn still needs mowed. How long does it take to mow the entire lawn? Write
aleksley [76]
12/x = 52/48
12 * 48 = 52x
x = 11.07 This is one way to do it.

Let the time = x
Let the part of the lawn = y

The general equation
y = k*x
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k = 0.043333 
y = 0.043333*x
y = 0.043333* 11.08
y = 0.48 which is what it should be.

Yet another way is to let y = kx
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y = 4.333333 * x
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48  = 4.333333 * x
x = 11.07 which is just what you should expect.
7 0
3 years ago
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