MATHEMATICS MIDDLE SCHOOL

In a line of students, Jenna is number 8.The teacher says that a rule for a number pattern is add 4. The first student inline says the first term, 7. What number should Jenna say?

Answers

Answer 1

Answer:

Answer:

Formula for nth term in Arithmetic sequences is:

$a_n =a+(n-1)d$

where a is the first term, d is the common difference and n is the number of terms.

As per the statement:

The rule for the pattern is add 4.

As the first term in line says the first term i,e 7

$a= 7$

common difference(d)= 7

As the Jenna number is 8th in line.

Series we get;

7, 11, ......... $a_8$

We have to find the 8th term.

n = 8, a = 7 and d = 4

Using above formula:

$a_8 = 7+(8-1)4 = 7+7 \cdot 4 = 7 +28 = 35$

Therefore, 35 number should Jenna say.

Answer 2

Answer: 7 , 11 , 15,19,23,27,31,35. Jenna should say 35.

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Please explain #2 for me please!
The question deals with proportions.

Answers

We claim that the ratio of the areas is (3/2)^3=27/8, not just for these lengths, but also for every possible set of side-lengths x, y, and z.

To find the volume of the area of the original suitcase, multiply together x, y, and z to get xyz. The modified suitcase will have all these dimensions multiplied by 1 1/2, or 3/2, for a result of 3x/2*3y/x*3z/2=27xyz/8. The ratio is (27xyz/8)/(xyz)=27/8, as desired.

Note that we made no assumptions about the value of x, y, and z throughout the whole solution! Therefore, we can plug ANY side-lengths, including the problem's set (28, 16, 8) into this problem to achieve the same ratio.

What is the approximate circumference of a semicircle with a radius of 30 centimeters

Answers

Approximate circumference of a semicircle with a radius of 30 centimeters is 94.2 centimeter

Solution:

Given semicircle with a radius of 30 centimeters

To find: approximate circumference of a semicircle

To find circumference of semicircle we can divide the circumference of circle by 2

circumference of semicircle = circumference of circle $/$ 2

$\text{ circumference of semicircle} = (2 \pi r)/(2) = \pi r$

Substituting the given radius = 30 cm,

$\text{ circumference of semicircle} = 3.14 * 30 = 94.2$

Thus approximate circumference of a semicircle with a radius of 30 centimeters is 94.2 centimeter

Answer:

94.2

Step-by-step explanation:

Can someone please help? A cylinder has a radius of 10 cm and a height of 8 cm.What is the volume of the cylinder?

A.
160 pi cm^3

B.
480 pi cm^3

C.
640 pi cm^3

D.
800 pi cm^3

Answers

The answer is D because it is radius multiplied by radius then multiplied by height, which is 10.

The answer is D because 10 x 8 = 80 but multiply it by 10 again and you get 800

What's -8(2)-[3(-5)-(-1)+4(2-6)]+4(-7)

Answers

Answer:

-14

Step-by-step explanation:

-8(2)-[3(-5)-(-1)+4(2-6)]+4(-7)

opening the brackets

-8(2)-[-15+1+4(-4)]+4(-7)

-8(2)-[-15+1+4(-4)]+(-28)

-8(2)-[-15+1+(-16)]-28

-16-[-15+1+-16]-28

-16-[-15-16+1]-28

-16-[-31+1]-28

-16-[-30]-28

-16+30-28

-16-28+30

-44+30

-14

Write an expression that is equivalent to 6(g+4)

Answers

6g+4 I know this because you can just mutlply the number outside the parenthesis to the numbers inside/

Twenty two quarts is equivalent to how many gallons?
4.5
5.5
C
6.5
7.5

Answers

Answer:

5.5 gallons

Step-by-step explanation:

There are 4 quarts in 1 gallon.

22 ÷ 4 = 5.5

I hope this helps :)

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