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Sophie [7]
3 years ago
5

Can you solvefor x 3 (x+4)+5x=-20

Mathematics
1 answer:
inn [45]3 years ago
3 0
Solve for x:5 x + 3 (x + 4) = -20
3 (x + 4) = 3 x + 12:3 x + 12 + 5 x = -20
Grouping like terms, 5 x + 3 x + 12 = (5 x + 3 x) + 12:(5 x + 3 x) + 12 = -20
5 x + 3 x = 8 x:8 x + 12 = -20
Subtract 12 from both sides:8 x + (12 - 12) = -12 - 20
12 - 12 = 0:8 x = -20 - 12
-20 - 12 = -32:8 x = -32
Divide both sides of 8 x = -32 by 8:(8 x)/8 = (-32)/8
8/8 = 1:x = (-32)/8
The gcd of -32 and 8 is 8, so (-32)/8 = (8 (-4))/(8×1) = 8/8×-4 = -4:Answer: x = -4
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Answer:

The distance of the rivers on the map is of 1.23 inches.

Step-by-step explanation:

We use proportions to solve this question, by a rule of three.

We have that:

If the actual distance is of 1000 miles, the distance on the map is of 12.3 inches. If the actual distance is 100 miles, what will be the distance on the map?

1000 miles - 12.3 inches

100 miles - x

Applying cross multiplication

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x = \frac{1230}{1000}

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The distance of the rivers on the map is of 1.23 inches.

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6 0
2 years ago
Read 2 more answers
Find the limits<br>The answer is - 3/4
Kipish [7]

Hello from MrBillDoesMath!

Answer:

This is a puzzling one! The answer is indeed -3/4 but I was unable to prove it using mathematics appropriate to the "middle school" level. Sorry I couldn't be more helpful.

(To prove it I generated the first few terms of its Laurent series, a Calculus topic. The first few terms are  -(3/4) + (41/64x) +  and as x approaches  minus infinity the term with "x" in the denominator goes to zero, leaving the constant value -3/4 as the answer. )


Thank you,

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8 0
3 years ago
image Alan, Benton, Claire, and Dita divided the cost of throwing a party as shown in the circle graph above. If Dita spent $ 12
sdas [7]

Let total amount spent =x

Dita spent 35 % of total amount.

35% of x = 0.35x

So amount spent by Dita = 0.35x

% of money spent by Benton = 20 % of x = 0.2x

We are given that Benton spent $12 more than Claire,

so making equation we have ,

Money spent by Dita = Money spent by Claire +12

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So total amount spent was $80.

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So amount spent by Benton is $16.



5 0
3 years ago
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