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mafiozo [28]
3 years ago
7

The system of equations has no solution: y=2/3x-5 4x - 6y = 30 true or false?

Mathematics
1 answer:
Serjik [45]3 years ago
3 0

1. y = 2/3x - 5

2. 4x - 6y = 30

Divide 2. by 2

3. 2x - 3y = 15

Substitute 1. into 3.

4. 2x - 3(2/3x - 5) = 15

5. 2x - 2x + 15 = 15

6. 15 = 15

False. There are an infinite number of solutions.

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A football field is 120 yards by 53.333 yards. What is the area of the football field in acres if 1 acre=43560 ft?? Use correct
MA_775_DIABLO [31]

Answer:

<h2>The area of the pitch in an acre is  1.32 acre</h2>

Step-by-step explanation:

This problem requires to test our understanding of unit conversion, and we are expected to present our answer in an acre

first, let us convert from the yard to feet

given that the dimension of the pitch is

120 yards by

53.333 yard

1 yard is 3 foot

120 yards will give x

cross multiply we have

x1= 120*3

x1= 360 feet

also the second dimension is

x2= 53.333*3

x2= 159.999

x2= 159.999 feet

the area of the pitch is

area= 159.999*360

area= 57599.64 ft^2

Note: an acre is a unit for land area (1 acre=43560 ft^2)

if 1 acre = 43560 ft^2

x acre =  57599.64 ft^2

cross multiply we have

x acre =  57599.64/43560

x acre = 1.32 acre

5 0
3 years ago
-10-|1+4b|=-19<br> Y = 0
alexandr402 [8]

Answer:

b=2 or b=-2.5

Step-by-step explanation:

We solve absolute value equations the same as any other equation using inverse operations. However, the inverse operation for absolute value requires one special condition. Since absolute values change a number to a positive regardless if it has a negative sign, we have two possible answers. When we have the absolute value operation isolated, we will set it equal to both the negative and positive option.  

-10-|1+4b|=-19\\-10+10-|1+4b|=-19+10\\-|1+4b|=-9\\\frac{-|1+4b|}{-1} =\frac{-9}{-1} \\|1+4b|=9

We now have the absolute value isolated. We will set it equal to both 9 and -9.

1+4b=9\\1-1+4b=9-1\\4b=8\\b=2

and

1+4b=-9\\1-1+4b=-9-1\\4b=-10\\b=\frac{-10}{4}=\frac{-5}{2}=  -2.5

3 0
4 years ago
Solve for x: 2^2x/3=16
Sloan [31]
<span><span><span>
(2^2)</span>(x)</span>3</span>=<span>16
</span>Step 1: Multiply both sides by 3.
<span><span><span><span>(<span>2^2</span>)</span><span>(x)</span></span>3</span>=16
</span><span><span><span>(<span><span><span>(<span>2^2</span>)</span><span>(x)/</span></span>3</span>)</span>*<span>(3)</span></span>=<span><span>(16)</span>*<span>(3)</span></span></span><span><span><span>(<span>22</span>)</span><span>(x)</span></span>=48</span>
Step 2: Simplify both sides of the equation.
<span><span>4x</span>=48</span>
Step 3: Divide both sides by 4.
<span><span><span>4/x</span>4</span>=<span>48/4
</span></span><span>x=<span>12</span></span>
3 0
4 years ago
You work at a bike shop. A customer purchases 6 new bike tires at $6.99 each. If the customer gives you $40, how much is still o
Mariulka [41]

Answer:

194 cents is the correct answer

Step-by-step explanation:

6.99 dollars is 41.94

7 0
3 years ago
Read 2 more answers
Which equation represents a proportional relationship between x and y
guapka [62]

A..........................

3 0
4 years ago
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