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faltersainse [42]
3 years ago
7

Help on this please it's urgent

Mathematics
1 answer:
boyakko [2]3 years ago
8 0

Answer:

5(a_7)=5a_5*7 or 5a_35

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Karen is 6 yrs older than her sister Michelle and Michelle is two years younger than their brother David If the sum of their age
frosja888 [35]
You are told the ages of Karen and David in terms of Michelle's age.
Let m = Michelle's age.

Michelle's age = m
Karen's age = m + 6

Michelle is two years younger than David, so David is two years older than Michelle.

David's age = m + 2

Add the ages and get 62.

m + m + 6 + m + 2 = 62

3m + 8 = 62

3m = 54

m = 18

Michelle is 18 years old

Karen is 6 years older, so she is 24 years old.

David is 2 years older than Michelle, so he is 20 years old.
4 0
4 years ago
Write the equation of a sine function that has the following characteristics.
slava [35]

Answer:

\displaystyle y = 7\sin(9\pi(x +   {1}/{4}) )

Step-by-step explanation:

we are given

  • Amplitude:7
  • Period:9π
  • Phrase shift:¼

remember that,

\displaystyle y = A \sin(B(x + C) )+ D

where A is the Amplitude

B is the Period

C is the Phase shift

D is the vertical shift

note that, since D isn't given we'll take it 0

altogether substitute:

\displaystyle y = 7\sin(9\pi(x +   {}^{1}/_{4}) )+ 0

hence,

our equation is

\displaystyle y = 7\sin(9\pi(x +   {}^{1}/_{4}) )

and we are done!

5 0
3 years ago
Read 2 more answers
ms. Omar runs the school tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are
anygoal [31]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> number of tennis balls

y ----> number of tennis rackets

we know that

To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets

In this problem we have

\frac{x}{y}=\frac{5}{3}

see the model in the attached figure N 1

so

y=\frac{3}{5}x

y=0.60x

This is the equation of a linear direct variation

The relationship between the variables x and y is proportional

see the model in the attached figure N 2

4 0
3 years ago
What is 0.0703 written in scientific notation?
V125BC [204]
The answer is 7.03 × 10<span>-2</span>
8 0
3 years ago
In Ms.Williams class, 60% of the students are boys. There are 18 boys in the class. ha is the total number of students in Ms.Wil
aalyn [17]

Answer:

The total amount of students in the class would be 30. The total amount of girls would be 12.

Step-by-step explanation:

60% * x = 18

(60/100) * x = 18

6x/10 = 186x = 18 * 10

6x = 180x = 180/6   = 30

The total number of students in the class is 30.

Number of girls in the class = 30 - 18 = 12

So there are 12 girls in the class.

5 0
3 years ago
Read 2 more answers
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