MATHEMATICS HIGH SCHOOL

Find each percent increase or decrease to the nearest percent.1. from 14 books to 40 books
2. from 72 points to 50 points

Answers

Answer 1
Answer:

Answer:

1. 185.71% 2. 30.56%

Step-by-step explanation:

(1) Initial no of books = 14

Final no of books = 40

Increase in books = 40-14 = 26

\%\ \text{increase in books}=\frac{\text{increase in books}}{\text{initial no of books}}* 100\n\n=(26)/(14)* 100\n\n=185.71\%

(2) Initial points = 72

Final points = 50

Decrease in points = 72-50= 22

\%\ \text{decrease in points}=\frac{\text{decrease in points}}{\text{initial points}}* 100\n\n=(22)/(72)* 100\n\n=30.56\%

Hence, this is the required solution.

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Use the figure below to answer the questions.a. What is the name of the 3D shape?


b. What is the formula for total surface area for this shape?


c. What is the surface area of the figure?

Answers

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

S=2A_(b)+P_(b)h

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism


b. What is the formula for total surface area for this shape?

Total Surface area:

S=2A_(b)+P_(b)h

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h


c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

A_(b)=(bh)/(2)\n A_(b)=((4 cm)(3 cm))/(2)\n A_(b)=(12cm^(2) )/(2)\n A_(b)=6cm^(2)

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

P_(b)=4cm+3cm+5cm\n P_(b)=12cm

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

S=2(6 cm^(2))+(12 cm)(11 cm)\n S=12 cm^(2)+132 cm^(2)\n S=144 cm^(2)

Subtract and simplify: (3x^2 + 7) – (x^2 – 6x – 4)Question 3 options:

2x^2 + 6x + 3


4x^2 – 6x + 3


2x^2 + 6x + 11


4x^2 + 3

Answers

Distribute the Negative Sign:=3x2+7+−1(x2−6x−4)=3x2+7+−1x2+−1(−6x)+(−1)(−4)=3x2+7+−x2+6x+4Combine Like Terms:=3x2+7+−x2+6x+4=(3x2+−x2)+(6x)+(7+4)
Answer is =2x2+6x+11

Solve for x. 8/9x=32

Answers

Answer:

0.44444444444

Step-by-step explanation:

there are 10 fewer frogs than snakes in the forest. there are 7 frogs. how many snakes are in the forest

Answers

If there are 10 fewer frogs than snakes in the forest, and you know there are 7 frogs, you can determine the number of snakes using this information.

Let's use "S" to represent the number of snakes and "F" to represent the number of frogs. According to the information provided:

F = S - 10

You know that there are 7 frogs, so you can substitute F with 7 in the equation:

7 = S - 10

Now, solve for S (the number of snakes):

S = 7 + 10

S = 17

So, there are 17 snakes in the forest.

Can anyone help? plz?

Answers

Answer:

Going down in order:

0.04

0.2

1

5

25

Answer:

0.04

0.2

1

5

25

Step-by-step explanation:

So, you get your calculator, 5 to the -2 power, 5 to the -1 power, 5 to 0 power,  5 to the 1st  power, 5 to the 2nd power

If a man can run p miles in x minutes, how long will it take him to run q miles at the samerate?

Answers

d = p*x = q*t => t = (p*x)/q;

Answer: it wouk take him x minutes because it said at the SAME rate.

Step-by-step explanation:
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