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leonid [27]
3 years ago
15

If you add Natalie's age and Fred's age, the result is 42. If you add Fred's age to 3 times

Mathematics
1 answer:
Alla [95]3 years ago
5 0

Answer:

N+F=42 & F+3N=70 System Solved: Natalie is 14 and Fred is 28

Step-by-step explanation:

Using variables N=natalies age and F=Freds age

N+F=42 ----> N=42-F (take this and plug it into the other equation)

F+3N=70 so F+3(42-F)=70 [simplify] F+126-3F=70 [further simplify]

-2F=-56 [divide -56 by -2] F=28 [then plug this number into the orig. equation]

So N+28=42 or N=14.

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vlada-n [284]
  • In second quadrant sin and cosec are positive

\\ \tt\hookrightarrow sin^2\theta=1-cos^2\theta

\\ \tt\hookrightarrow sin^2\theta=1-(\dfrac{-2\sqrt{5}}{5})^2

\\ \tt\hookrightarrow sin^2\theta=1-\dfrac{20}{25}

\\ \tt\hookrightarrow sin^2\theta=\dfrac{5}{25}

\\ \tt\hookrightarrow sin\theta=\dfrac{\sqrt{5}}{5}

\\ \tt\hookrightarrow sin\theta=\dfrac{1}{\sqrt{5}}

5 0
2 years ago
Jasmine wants to start saving to purchase an apartment. Her goal is to save $225,000. If she deposits $180,000 into an account t
Y_Kistochka [10]

The time it will take the principal to grow to the desired amount is 0.7 years

Using the compound interest formula :

A = P(1 + r/n)^(nt)

A = final amount = 225,000

P = principal = 180,000

r = rate = 3.12%

n = Number of compounding times per period = 12(monthly)

t = time

225000 = 180000(1 + (0.0312 /12))^(12t)

Divide both sides by 180000

225000/180000 = (1 + (0.0312 /12))^(12t)

1.25 = 1.026^12t

Take the log of both sides

0.0969100 = 0.0111473 × 12t

0.0969100 = 0.1337676t

Divide both sides by 0.1337676 to isolate t

0.0969100 / 0.1337676 = t

0.7244 years

0.7 years

It will take 0.7 years for the amount to grow

Learn more : brainly.com/question/21270833?referrer=searchResults

8 0
3 years ago
Read 2 more answers
A mug is 1/8 full. The mug contains 1/6 of a cup of water. Find the capacity of the mug. Write the answer as a fration or mixed
Andre45 [30]

Answer:

The capacity of the mug = 1\frac{1}{3} cups

Step-by-step explanation:

Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.

To find - Find the capacity of the mug. Write the answer as a fraction or mixed number

Proof -

Let the capacity of water = x

Given that,

A mug is \frac{1}{8} full of water

⇒Total cups of water in the mug = \frac{1}{8} x

Now,

Given that, The mug contains \frac{1}{6} of a cup of water.

∴ we get

\frac{1}{8} x =  \frac{1}{6}

⇒x = \frac{1}{6} × 8

     = \frac{8}{6}

     = \frac{4}{3} = 1\frac{1}{3}

⇒x = 1\frac{1}{3}

∴ we get

The capacity of the mug = 1\frac{1}{3} cups

8 0
3 years ago
6=n-4<br> Ushdhsbdusvdj
kaheart [24]

Answer:

n=10

Step-by-step explanation:

6 = n-4

Add 4 to each side

6+4 = n-4+4

10 =n

4 0
4 years ago
Read 2 more answers
Y =<br> 2 + 1 and 4x - ly = 14 are<br> 4<br> parallel lines.<br> O True<br> O False
Olegator [25]
The answer to your question is false

5 0
3 years ago
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