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Rufina [12.5K]
2 years ago
13

1/4-5/8n is equivalent to p(2-5n)​

Mathematics
2 answers:
jolli1 [7]2 years ago
7 0

Answer:

1/4 - 5/8n = p (2-5n)

a_sh-v [17]2 years ago
5 0

Hey there!

The answer is \frac{-3}{8}n=2p-5np

Since they are equivalent to each other, we will set them equal to each other, because equivalent means equal to.

\frac{1}{4}n-\frac{5}{8}n = p(2-5n)

Now, we will simplify it. First, we will simplify the left side by subtracting. To do this, we can make \frac{1}{4} into \frac{2}{8}. That gives us:

\frac{-3}{8}n=p(2-5n)

Now, we'll simplify the right side by distributing p:

\frac{-3}{8}n=2p-5np

Have a super awesome day! :)

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malfutka [58]

Considering the least common multiple of the denominators, it is found that the result of the expression is given by:

\frac{9100}{138320}

<h3>How do we add fractions?</h3>

We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.

In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.

Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:

\frac{4940}{138320} + \frac{1976}{138320} + \frac{1064}{138320} + \frac{665}{138320} + \frac{455}{138320} = \frac{4940 + 1976 + 1064 + 665 + 455}{138320} = \frac{9100}{138320}

More can be learned about the addition of fractions at brainly.com/question/78672

#SPJ1

5 0
1 year ago
The number A of tablet computers sold (in millions) can be modeled by the function A=4.5t2+43.5t+17 , where t represents the num
Rina8888 [55]
The problem indicates that A represents the number of tablet computers sold in millions. So, if 65 million were sold, we must substitute A = 65 to the equation. Then, we find for t.

65 = 4.5t² +43.5t + 17
Solving for t using a calculator,
t = 1 and -10.67

Let's take the positive root. So, t=1.
That means the year would be 1 year after 2010. <em>Therefore, the answer is 2011.</em>
6 0
3 years ago
lighting if a 25-foot-tall house cast a 75-foot shadow at the same time that a streetlight casts a 60-foot shadow how tall is th
jolli1 [7]

Answer:

The street light is 20 feet tall.

Step-by-step explanation:

This question depends on a proportion. Keep your height of the object in one ratio and the length of the shadow in the other.

25/x = 75/60      Notice the height of the structure is on the left. The length of the shadow is on the right. Cross multiply

75x =  60 * 25     Combine the right

75x = 1500          Divide by 75

x = 1500/75

x = 20

The street light is 20 feet tall.

3 0
2 years ago
A circle has a circumference of 18. It has an arc of 6. What is the central angle of the arc, in degrees?
irga5000 [103]

Answer:

Step-by-step explanation:

C=2πr

18=2×3.14×r

18=6.28r

r=2.88

Arc of a circle

A=®/360°πr

6=®/360°×3.14×r

®=239°

6

3 0
2 years ago
Read 2 more answers
I have 30 ones 2thousands 4hundred thousands , 60 tens and 100 hundreds what number am I ?
viva [34]

Answer:

Step-by-step explanation:

Units = 30

Thousands = 2,000

Hundreds of Thousands = 400,000

Tens = 60

Hundreds = 100

HTHHTU

400,000

    2,000

       100

         60

<u>          30</u>

<u>402,190</u>

7 0
3 years ago
Read 2 more answers
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