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Roman55 [17]
2 years ago
12

The sum of two numbers is 97. The larger number is three less than four times the smaller number. Find the numbers

Mathematics
1 answer:
Paladinen [302]2 years ago
3 0

Answer:

Hi there!

Your answer is:

Small number = 20

Larger number = 77

Step-by-step explanation:

larger= 4s-3

smaller = s

s+ 4s-3 = 97

5s-3 = 97

+3

5s = 100

/5

s= 20

large number = 4(20)-3

80-3

larger = 77

Double check work!

20+77= 97✓

Hope this helps!

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I need help with this practice I am having a tough time solving it properly
Monica [59]

Given:

There are given that the parent functions as a cosine function:

Where,

The amplitude of the function is 9.

The vertical shift is 11 units down.

Explanation:

To find the cosine function, we need to see the standard form of the cosine function:

f(x)=acos(bx+c)+d

Where,

a is the amplitude of the function,

Now,

According to the question:

The amplitude of the function is 9, which means:

f(x)=9cos(bx+c)+d

The vertical shift is 11 units down, which means:

f(x)=9cos(bx+c)-11

For period:

\begin{gathered} f(x)=-9cos(\frac{12\pi}{7}x+0)-11 \\ f(x)=-9cos(\frac{12\pi}{7}x)-11 \end{gathered}

Final answer:

Hence, the cosine function is shown below;

f(x)=-9cos(\frac{12\pi}{7}x)-11

4 0
1 year ago
I WILL GIVE 13 POINTS IF YOU SHOW YOUR WORK WITH THE ANSWER A clothing store purchased jeans from the manufacturer at a cost of
olasank [31]
First you need to find out how much Molly paid. So, $24 times 0.25 equals $6 off so $24 minus $6 equals $18. Molly paid $18 for the jeans. Then to find the percentage of increase you would find the difference between how much the store bought the jeans minus how much they sold them for which is $18-$6=$12 then u would do $12 divided by $6 which is 2 and then multiply by 100 to get 200%. So the store earned a 200% increase on the jeans they sold to Molly.
3 0
2 years ago
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How can we represent a time that came before a specific zero point​
Oduvanchick [21]

Answer:

by stating what the time was before the zero point came.

Step-by-step explanation:

3 0
3 years ago
Need help with this asap!
Brums [2.3K]

Answer:

The answer to your question is   b = 8.06 cm

Step-by-step explanation:

Data

hypotenuse = c = 9 cm

long leg = b = ?

short leg = a = 4 cm

Process

This is a right triangle so we must use the Pythagorean theorem to find the length of the long leg (b)

                      c² = a² + b²

-Solve for b²

                      b² = c² - a²

-Substitution

                      b² = 9² - 4²

-Simplification

                       b² = 81 - 16

                       b² = 65

-Result

                      b = 8.06 cm

4 0
3 years ago
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Can someone help me like fr-
aalyn [17]

Answer :V=πr2h=π·72·11≈1693.31844

Step-by-step explanation:

6 0
2 years ago
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