Which ordered pair is a solution of the equation −1/4x + 6 = y?

Mathematics

1 answer:

il63 [147K]3 years ago

6 0

Answer:

Step-by-step explanation:

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If 3a-2b= 8 and a+3b=7 what is the value of 4a+b?

Fittoniya [83]

Step 1: Find the value of one variable in terms of the other.

$a+3b=7\\a=7-3b$

Step 2: Substitute the value you just found for this variable in the other equation.

$3a-2b=8\\3(7-3b)-2b=8\\21-9b-2b=8\\21-11b=8\\21=8+11b\\13=11b\\\frac{13}{11}=b\\ b=1\frac{2}{11}$

Step 3: Use your new value for the second variable to find the first.

$a+3b=7\\a+3(1\frac{2}{11})=7\\a+3\frac{6}{11}=7\\\\a=3\frac{5}{11}$

Now that we know the values for a and b we can find the value of 4a+b.

$4a+b\\4(3\frac{5}{11})+1\frac{2}{11}\\12+\frac{20}{11}+1\frac{2}{11}\\\\12+1\frac{9}{11}+1\frac{2}{11}\\\\\boxed{15}$

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25 kids took a math test. If 20 kids passed the test, what percent of kids did not pass the test?

nata0808 [166]

Answer: 20%

Step-by-step explanation:

25 = 100%

25/5 = 5

100/5 = 20

That means 80% passed and 20% didnt.

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how many gallons will it take to mow a lawn if you maintain the rate of 1/2 gallon of gasoline per 1/4 mowed

Musya8 [376]

Recall that one whole is 1, or in this case since the denominator is 4, then 4/4 is 1 whole, so the whole lawn is 4/4.

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gallons&mowed\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
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g&\frac{4}{4}
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\\\\\\
\cfrac{1}{2g}=\cfrac{1}{4}\implies 4=2g\implies \cfrac{4}{2}=g\implies 2=g$

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erastova [34]

√(y2-y1)²+(x2-x1))

Simple Pythagorean Theorem.....

√(12)²+(5²))
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Find the surface area of the following figure below. Use 3.14 for pi

olasank [31]

Question:

Find the surface area of the following figure below. Use 3.14 for pi

Answer:

Step-by-step explanation:

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