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Aleks [24]
2 years ago
11

0.75:x::5:8, Then find x​

Mathematics
2 answers:
Shalnov [3]2 years ago
8 0

Answer:

Step-by-step explanation:

0.75 :x :: 5: 8

0.75 / x = 5 / 8  

5x = 0.75 * 8

x = 6/5

x = 1.2

lianna [129]2 years ago
3 0

Answer:

1.2

Step-by-step explanation:

0.75 :x :: 5: 8

0.75 / x = 5 / 8

Cross multiply

5x = 0.75 * 8

x = 6/5

x = 1.2

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462 cm^{3}

Step-by-step explanation:

Rectangular Prism:  7 x 8 x 6 = 336

Triangular Prism: (0.5 x 7 x 6) x 6 = 126

336 + 126 = 462

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What is the probability of rolling an odd number on one roll of dice
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Answer: 1/2 or 50%

Step-by-step explanation: To find out what is the probability of rolling an odd number on a dice, we first need to understand what probability is. Probability is the likelihood that an event will happen. We can find the probability of an event using a ratio. Notice that in this problem, we are asked to find the probability of spinning an odd number. This means that the odd numbers will be a favorable outcome.

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3 years ago
Write a word problem that can be solved using the equation 2(h+8)=28
Helga [31]

Answer:

See below.

Step-by-step explanation:

2 times 8 more than the height of a garden wall is 28 feet. How high is the garden wall?

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Read 2 more answers
What is the sum of the first 51 consecutive odd positive integers?
Angelina_Jolie [31]
We call:

a_{n} as the set of <span>the first 51 consecutive odd positive integers, so:

</span>a_{n} = \{1, 3, 5, 7, 9...\}

Where:
a_{1} = 1
a_{2} = 3
a_{3} = 5
a_{4} = 7
a_{5} = 9
<span>and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

</span>a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}
<span>
Then:

</span>a_{n} = a_{1} + (n-1)d
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

</span>S_{k} = ( \frac{a_{1} +  a_{k}}{2}  ).k
<span>
Therefore, we need to find:
</span>a_{k} =  a_{51}  

Given that a_{1} = 1, then:

a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1

Thus:
a_{k} = a_{51} = 2(51)-1 = 101

Lastly:

S_{51} = ( \frac{1 + 101}{2} ).51 = 2601 

4 0
3 years ago
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