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Lelechka [254]
2 years ago
12

5(6a +1) = 7(4x + 3) w/steps

Mathematics
2 answers:
katrin2010 [14]2 years ago
7 0

Answer:

\frac{15a- 8}{14}  = x

Step-by-step explanation:

Step 1 - Divide both sides of the equation by 7:

5(6a + 1) = 7(4x + 3)\\

\frac{5(6a + 1)}{7}  = \frac{7(4x + 3)}{7} \\\\\frac{5(6a + 1)}{7}  = 4x + 3

Step 2 - Subtract 3 from both sides to isolate the 4x:

\frac{5(6a + 1)}{7} - 3 = 4x + 3 - 3\\\frac{5(6a + 1)}{7} - 3 = 4x

Step 3 - Expand equation:

\frac{5(6a + 1)}{7} - 3 = 4x \\\\\frac{30a + 5}{7} - 3 = 4x

Step 4 - Translate -3 into a fraction and add it:

\frac{30a + 5)}{7} - 3 = 4x\\\frac{30a + 5 + (7 * -3)}{7} = 4x\\\frac{30a + 5 + (-21)}{7} = 4x\\

\frac{30a - 16}{7} = 4x

Step 5 - Divide both sides of the equation by 4:

\frac{\frac{30a - 16}{7}}{4}  = \frac{4x}{4}

Multiply the two fractions together to simplify:

\frac{30a - 16}{4 * 7}  = \frac{4x}{4}

\frac{30a - 16}{28}  = x

Step 6 - Simplify by dividing the fraction by 2:

\frac{(30a \div 2)- ( 16 \div 2)}{28 \div 2}  = x

\frac{15a- 8}{14}  = x

Hope this helps!

Oliga [24]2 years ago
6 0

Answer:

ttftt

Step-by-step explanation:

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Answer:

The probability that none of these taxpayers will be audited by the IRS is 0.8996 or 89.36%

Step-by-step explanation:

According to given:

Probability of being audited for income less than $50,000 = 6/1000 = 0.006

Therefore,

Probability of not being audited for income less than $50,000 = 1 - 0.006 = 0.994

Similary,

Probability of being audited for income more than $100,000 = 49/1000 = 0.049

Therefore,

Probability of not being audited for income more than $100,000 = 1 - 0.049 = 0.951

Now, for the probability of 2 persons with less $50,000 income and 2 persons with more than $100,000 income, to not being audited, we must multiply the probabilities of not being audited of each of the 4 persons.

Therefore,

Probability that none of them is audited = (0.994)(0.994)(0.951)(0.951)

<u>Probability that none of them is audited = 0.8936 = 89.36%</u>

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3 years ago
What is the measurements of <br> A.30<br> B.45<br> C.75<br> D.90
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m<JAK=3x

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A recipe for 40 biscuits uses 2 cups of biscuit mix. How many biscuits are made from 1 cup of biscuit mix?​
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Hope this Helps!

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3 years ago
Read 2 more answers
A group of employees is stranded on top of a 120 feet building because a fire occurred. Your goal is to throw a rope from a 60 f
Paul [167]

Step-by-step explanation:

-16t² + 64t + 60 = 120

this is a quadratic equation, and its points of f(t) = 0 can be calculated. there are usual 2 such solutions for a quadratic equation.

so, we need to bring it to a form that ends in "= 0".

-16t² + 64t - 60 = 0

that is also the same as

-4t² + 16t - 15 = 0

the formula for the solutions of such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a = -4

b = 16

c = -15

so,

t = (-16 ± sqrt(256 - 4×-4×-15))/(2×-4) =

= (-16 ± sqrt(256 - 240))/-8 =

= (-16 ± sqrt(16))/-8 = (-16 ± 4)/-8

t1 = (-16 + 4)/-8 = -12/-8 = 3/2

t2 = (-16 - 4)/-8 = -20/-8 = 5/2

so, it depends on what the unit of time t is. let's assume seconds.

therefore, the rope will reach the top of the building while going up after 3/2 = 1 1/2 = 1.5 seconds.

and then, as the shot rope makes a curve and comes back down again (that is why we have 2 solutions : the rope will reach the height of 120ft during its flight path twice : once while still going up, and once when coming back down again) it will be at the height of the top of the building after 5/2 = 2 1/2 = 2.5 seconds.

so, it depends if the people there can grab it at the first chance, and if the path of the rope would allow them to grab it also again on its way back down. this we don't know.

I therefore guess, that your teacher is aiming for the first solution.

4 0
3 years ago
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