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Ugo [173]
2 years ago
7

1. Solve 17 - x = 1 + 3x

Mathematics
2 answers:
Verdich [7]2 years ago
5 0

Answer:

x = 4

Step-by-step explanation:

1) Add x to both sides.

17 = 1 + 3x + x

2) Simplify 1 + 3x + x to 1 + 4x.

17 = 1 + 4x

3) Subtract 1 from both sides.

17 - 1 = 4x

4) Simplify 17 - 1 to 16.

16 = 4x

5) Divide both sides by 4.

\frac{16}{4}  = x

6) Simplify 16/4 to 4.

4 = x

7) Switch sides.

x = 4

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>4</u>.

timurjin [86]2 years ago
4 0
X = 8

We’ll combine like terms by getting all the x terms on the right, all the digits on the left.

16 = 2x
Divide both sides by 2
x = 8
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Answer:

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Step-by-step explanation:

The total distance is 996 meters, hare completed 578 meters. The question asked how much further hare has to run which indicates that this is a subtraction problem.

Equation to solve :996-578=x

x=418

Hope this helps, let me know if I am wrong. Have a good day:)

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2 years ago
How long will it take 5 machines to complete a task, given that it takes 10 days for 8 machines to complete the same task?
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Answer:

Step-by-step explanation:

4 days

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3 years ago
Please solve the problem with steps
Debora [2.8K]

Answer:

Infinite series equals 4/5

Step-by-step explanation:

Notice that the series can be written as a combination of two geometric series, that can be found independently:

\frac{3^{n-1}-1}{6^{n-1}} =\frac{3^{n-1}}{6^{n-1}} -\frac{1}{6^{n-1}} =(\frac{1}{2})^{n-1} -\frac{1}{6^{n-1}}

The first one: (\frac{1}{2})^{n-1} is a geometric sequence of first term (a_1) "1" and common ratio (r) " \frac{1}{2} ", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: Infinite\,Sum=\frac{a_1}{1-r} = \frac{1}{1-\frac{1}{2} } =\frac{1}{\frac{1}{2} } =2

The second one: \frac{1}{6^{n-1}} is a geometric sequence of first term "1", and common ratio (r) " \frac{1}{6} ". Again, since the common ratio is smaller than one, we can find its infinite sum:

Infinite\,Sum=\frac{a_1}{1-r} = \frac{1}{1-\frac{1}{6} } =\frac{1}{\frac{5}{6} } =\frac{6}{5}

now we simply combine the results making sure we do the indicated difference: Infinite total sum= 2-\frac{6}{5} =\frac{10-6}{5} =\frac{4}{5}

8 0
3 years ago
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Answer:

It would be 2 whole pizza left for the adults. the improper fraction would be 2 1/2 or 5/2

Step-by-step explanation:

8 0
3 years ago
A drilling crew dug to a depth of 26 ½ feet during their first day of drilling. On the second day, the crew dug down 9½ feet mor
Neporo4naja [7]

The depth of the bottom of the hole after the second day is 36 feet using addition operation.

<h3>What is addition?</h3>

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the sum refers to the outcome of the operation.

Given the depth on the first day is 26 ½ feet.

Depth on the second day = 9½ feet more than on the first day i.e. 9½ feet + depth on the first day

This implies, depth on the second day = 9½ + 26 ½

= 36 feet

Therefore, the depth of the bottom of the hole after the second day is 36 feet.

To learn more about addition, visit:

brainly.com/question/25621604

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5 0
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