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3 years ago

Please Fill in the Blank with the simplified equation. 2/3x=14

Mathematics

1 answer:

amid [387]3 years ago

5 0

X =21, because 2(21/3)= 14. Another way you can do it is multipling both sides by the recipical (3/2) getting 21

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At a carnival game, you randomly throw two darts at the board and break two balloons. What is the probability that both the ball

Amanda [17]

4/15 of the balloons are purple. You have two darts. There are 105 combinations of hitting two balloons out of the 15. There are 6 combinations of purple balloons to be hit. This (Purple combinations over total combinations) is your probability. 6/105 simplified to 2/35 or 2:35
So your chance of picking the purple balloons, both purple, out is 2 in 35 or 2/35
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3 years ago

A 7-cup carton of ice cream cost $5.60. What is the price per fluid ounce?

ExtremeBDS [4]

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3 years ago

Read 2 more answers

Look at the images please I WILL MRK THE BRIANLEST

professor190 [17]

Answer: $V=234\ yd^3$

Step-by-step explanation:

By definition, the volume of a rectangular prism can be calculated with the following formula:

$V=lwh$

Where "l" is the length, "w" is the width and "h" is the height of the rectangular prism.

In this case, you can identify that the length, the width and the height of this rectangular prism given in the exercise, are:

$l=13\ yd\\\\w=6\ yd\\\\h=3\ yd$

Then, knowing its dimensions, you can substitute them into the formula:

$V=(13\ yd)(6\ yd)(3\ yd)$

Finally, evaluating, you get that the volume of that rectangular prism is:

$V=234\ yd^3$

8 0

3 years ago

The second term in a geometric series is 10, and the seventh term is 10,240. Find the sum of the first six terms.

just olya [345]

Answer:

The sum of the first 6 terms is 3,412.5.

Step-by-step explanation:

The second term of the geometric series is given by:

$a_{2}=a_{1}*r$

Where a1 is the first term and r is the common ratio. The seventh term can be written as a function of the second term as follows:

$a_{7}=a_{1}*r^{6} \\a_{7}=a_{2}*r^{5} \\10,240 = 10*r^{5}\\r=\sqrt[5]{1024} \\r = 4$

The sum of "n" terms of a geometric series is given by:

$a_{1} = \frac{10}{4} = 2.5\\S_{n}=a_{1}(\frac{r^{n}-1 }{r-1})\\S_{6}=2.5(\frac{4^{6}-1 }{4-1})\\S_{6}=3,412.5$

The sum of the first 6 terms is 3,412.5.

5 0

3 years ago

The ratio of a number and 4 times that number is equal to the ratio of 5 times the number and 95 more than a number

il63 [147K]

Answer:

1/4 = (5n)/(n +95)

Step-by-step explanation:

If all the numbers referred to are the same number, we can use n to represent it. Then, "the ratio of a number and 4 times that number" is n/(4n) = 1/4. "The ratio of 5 times the number and 95 more than the number" is (5n)/(n+95)

The equation for the problem can be written ...

1/4 = (5n)/(95+n)

___

If you're a purist, you might leave the factors of "a number" in the first raio and write it ...

n/(4n) = (5n)/(95+n)

Solving this gets you to a quadratic form that has the extraneous solution n=0.

8 0

3 years ago