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nekit [7.7K]
3 years ago
13

Can someone help me i keep getting different answer!!

Mathematics
1 answer:
spayn [35]3 years ago
6 0

Answer:

The second option: 3 (6 - 5n)/20n

Step-by-step explanation:

Make sure all fractions have a common denominator:

Step 1. Find a common multiple between all three denominators

5, 4, and 10 all have a common multiple of 20. Proof: 5 × 4 = 20, 4 × 5 = 20, and 10 × 2 = 20

Step 2. Multiply the denominators to get to 20. Whatever you do to the bottom (denominator) must be done to the top (numerator).

1/5n × 4/4 = 4/20n

3/4 × 5n/5n = 15n/20n

7/10n × 2/2 = 14/20n

Your fractions now all have a common denominator of 20n.

Rewrite the equation using the new fractions:

4/20n - 15n/20n + 14/20n

Only focus on adding/subtracting the numerators; the denominators will stay the same: 20n.

(4 - 15n + 14)/20n

Combine like terms:

(18 - 15n)/20n

Factor out any numbers possible:

3(6 - 5n)/20n

Note* 3 go into both 18 and 15, which allows us to factor 3 out. 18 ÷ 3 = 6 and 15 ÷ 3 = 5, giving us our new numbers inside the parentheses.

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A rectangle is 5 cm wider than twice its length. If the perimeter of the rectangle is 70 cm, then what is the area?
kifflom [539]

Step-by-step explanation:

The dimensions of the rectangle are two unknowns: The length "l" and the width "w"

The perimeter of a rectangle is found as P = 2*l + 2*w

We also know that the length is 5cm more than twice the width. l = 2*w + 5

These two equations gives us a system of linear equations.

P = 2*l + 2*w

l = 2*w + 5

We can use substitution to replace the "l" in the first equation with 2*w + 5

P = 2*(2*w + 5) + 2*w

P = 4*w + 10 + 2*w

P = 6*w + 10

we know the perimeter is 70

70 = 6* w + 10

subtract 10 from both sides

60 = 6* w

w = 10

Now that we know the width, we can find the length by substituting 10 for "w" in the second equation.

l = 2* 10 + 5

l = 20 +5

l = 25

the dimentions of the rectangle are 25cm x 10 cm

6 0
2 years ago
Read 2 more answers
Anastasia’s mom baked a giant sugar cookie for her birthday. On her birthday, ⅝ of the birthday cookie was eaten. The next day h
devlian [24]

Answer:

9/32 of the cookie was left for Stephanie to eat after lunch

Step-by-step explanation:

Anastasia’s mom baked a giant sugar cookie for her birthday.

On her birthday, ⅝ of the birthday cookie was eaten.

So, remaining cake =1 - \frac{5}{8}=\frac{3}{8}

The next day her brother ate ¼ of what remained.

Amount of cake eaten by her brother = \frac{1}{4}(\frac{3}{8})=\frac{3}{32}

So, remaining cake = \frac{3}{8}-\frac{3}{32}=\frac{12-3}{32}=\frac{9}{32}

Hence 9/32 of the cookie was left for Stephanie to eat after lunch

6 0
3 years ago
How much should you invest at 5% simple interest in order to earn $100 interest in 12 months?​
marissa [1.9K]

Answer:

You should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.

Step-by-step explanation:

Using the formula

I = Prt

where

I = Interest earned

P = The principal (let say in $)

r = The Interest Rate

t = time

Given that

  • I = $100
  • r = 5%
  • t = 12 month = 1 year
  • P = The principal amount needed to invest (let say in $)

Thus,

I = Prt

100 = P × 5% × 1

100 = P × 5/100 × 1

100 × 100 = P × 5

10000 = P × 5

P = 10000/5

  = 2000 (let say in $)

Thus, you should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.

7 0
2 years ago
The population of a city this year [2018] is 34,500. The population is expected to grow by 2% each year. What will be the popula
Talja [164]
The answer would be A. 39,300.

I got this by multiplying 34,500 by 2% and getting 690. Since 2018 is 7 years away from 2025, I multiplied 690 by 7 getting 4,830. I added the 4,830 to the original population of 34,500 and got my answer, 39,300. Hope I helped!
8 0
3 years ago
MSAL 1.1.PS-35 Question Help A fruit juice company includes 1.729 ounces of apple juice in a 6.55-ounce bottle of a mixed fruit
Alex777 [14]

Answer:

4.821 ounces

Step-by-step explanation:

To figure out the amount that is <em>not </em>apple juice, you have to subtract the amount of apple juice, 1.729 ounces, from the total amount of mixed fruit juice, 6.55 ounces, to get the remainder of 4.821 ounces.

3 0
3 years ago
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