MATHEMATICS MIDDLE SCHOOL

PLEASE ANSWER ASAP! I'M GIVING A LOT OF POINTS! What number does j represent?

3 + j
____ = 2
11

j =?

Answers

Answer 1
Answer: In this question you need to isolate j. First you multiply 11 on both sides to make 3 + j not a fraction anymore.

3 + j = 22.
Then you isolate j by subtracting 3 on both sides since you must cancel the 3's out to isolate j. Then you get an answer of j = 19

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HELP please ASAP pls...

Write the fraction equivalent of each decimal 36.90

Answers

Answer:

36.90 = (369/10)

The perimeter of a rectangle is 30 inches. If it's length is three times it's width, find the dimensions. Show work if possible.Next, a volleyball coach plans her daily practices to include 10 minutes of stretching, 2/3 of the entire practice scrimmaging, and the remaining practice time working on drills. On Wednesday, the coach planned 100 minutes of stratching and scrimmaging. How long, in hours, is the entire practice? Show work if possible.

Homework due tommorrow......PLEASE HELP!!!!!

Answers

The rectangle problem:

First, create some variables.
w = width
l = length

Then you know that the length is 3 times the width, so
l = 3w

The equation for perimeter is
P = 2(l+w)

Now you use substitution, substituting the 3w for l because you found that earlier.

P = 2((3w) + w)

And simplify.
P = 2(4w)
P = 8w

And you know P = 30 because they told you that.
30 = 8w
w = 15/4 inches, or 3.75 inches

Now substitute that value back into that first equation,
l = 3w
l = 3(15/4)
l = 45/4 inches, or 11.25 inches.

The dimensions are 11.25in for length and 3.75in for width.

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The volleyball problem:

100 minutes of stretching and scrimmaging combined, and you know 10 have to be stretching, so 90 is scrimmaging.

s = scrimmaging
T = total time

s = 2/3T   (they gave you this)
90 = 2/3T
T = (90*3)/2
T = 270/2
T = 135 minutes, or 2 hours and 15 minutes.

3x1/10 + 4 x 1/100 how do you solve the problem

Answers

The answer to the question

The first five terms of a sequence are 7,10, 13 , 16 and 19. which of the following functions define this sequence for all integers n>or equal to 1?A. f[n]= 3n=7
B.f[n]= 4+3n
C. f[n]= 4[3]^n-1
D.f[n]=7[3]^n-1

Answers

The correct option is D) f(n) = 4 + 3n.

Step-by-step explanation:

Given :

Arithmetic Sequence -- 7,10,13,16,19

Solution :

The explicit formula of arithmetic sequence is given by,

T_n = a+(n-1)d ------- (1)

where, common difference (d) = 10 - 7 = 3

first term (a) = 7

So from equation (1),

T_n = 7+(n-1)3 = 7+3n-3

T_n = 4 + 3n

Therefore, the correct option is D) f(n) = 4 + 3n.

For more information, refer the link given below

brainly.com/question/15412619?referrer=searchResults

Answer:

Option B is correct

For n\geq 1 , the function for the given sequence is defined as; f[n] = 4 +3n

Step-by-step explanation:

An arithmetic sequence is a sequence in which the difference between each consecutive term is constant.

An explicit formula for this arithmetic sequence given by;

a_n = a+(n-1)d where a represents first term

Since, the given sequences; 7 , 10 , 13 , 16 and 19

⇒ common difference(d) = 3 and a = 7

Since.

10 -7 = 3

13- 10 = 3  ....

The function which defined this sequence is;

f[n]=a_n = 7 +(n-1)(3)

using distributive property:

f[n] = 7 + 3n -3

f[n] = 4 +3n

therefore, the function for the given sequence for all integers n\geq 1 is;  f[n] = 4 +3n

Which of the following are true statements about the expression 5^12? Check all that apply.
A. 5 is the base
B. 5 is the exponent and tells us how many times we should multiply 12 by itself.
C. 12 is the base.
D. 12 is the exponent and tells us how many times we should multiply 5 by itself

Answers

Answer:

A. 5 is the base

D. 12 is the exponent and tells us how many times we should multiply 5 by itself

Step-by-step explanation:

The given expression is

5^(12)

This is a number written in an index notation.

The base is 5.

The exponent is 12.

The exponent tells us how many times the base multiplies itself.

Therefore 5^(12) means, 5 multiplies itself 12 times.

Options A and D are correct.

A number is 6 greater than 1\2 another number. If the sum of the numbers is 21,find the numbers.

Answers

Let 1 number equal x
Let the other number equal 1/2x + 6

x + (1/2x + 6) =21
1 & 1/2 x + 6 =21
1 & 1/2 x =15
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