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True [87]
2 years ago
7

Solve for x 8/x = 12/30

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
8 0

Answer:

x = 20

Step-by-step explanation:

We can cross multiply to isolate x

\frac{8}{12} = \frac{x}{30}

multiply 30 from both sides

\frac{30*8}{12} = x

simplify and we get

20 = x

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your employer has 600 business cards printed for you, and you give away 280 of them. To the nearest hundredth, what percent of t
arlik [135]
The number of cards left is 600-280=320.

So the 320 cards left are what percent? we count it like this:
\frac{320}{600}*100%= \frac{32}{60}*100%=\frac{32}{60}*100%=53.3..%

so the answer is 53.3%
4 0
3 years ago
Read 2 more answers
If Robbie has twenty-five apples and he wants to share them equally with four other friends, how many apples must he give to eac
patriot [66]

Answer:

5 apples

Step-by-step explanation:

4 friends + Robby = 5 people

25 apples in total ÷ 5 people

= 5 apples per person

7 0
1 year ago
Help would be greatly appreciated :)
Anton [14]
The bottle of 100 would be lowest. $8.13 ÷ 100 lozenges = $0.08 per lozenge

7 0
3 years ago
3. A car starts a trip with 20 gallons of gas in its tank. The car traveled at an average
Helga [31]

Answer:

32.5%

Step-by-step explanation:

first we will have to calculate how much miles the car traveled, to do that we will multiply the speed by hour long the car was traveling for which is

65*3=195

During those 195 miles the car used 1 gallon for every 30 miles which means it used 6.5 gallons of its tank

195/30=6.5

6.5 gallons is 32.5% of 20 gallons

6.5/20=0.325

0.325 * 100 = 32.5%

3 0
3 years ago
Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

d = (4x+4) - (-3x - 1)

Distribute:

d = (4x + 4) + (3x + 1)

Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

3 0
3 years ago
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