MATHEMATICS HIGH SCHOOL

Select all that apply.<<<To write a percent as a decimal, _____.


move the decimal point two places to the left
multiply by 100
move the decimal point two places to the right
divide by 100

Answers

Answer 1
Answer: To change a percent into a decimal move the decimal point to places to the left so 67% would .67

To change a decimal into a percent you would do the reverse operation meaning move the decimal point to places to the right, so .89 would be 89%

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How many solutions does the system have?x = -4y + 4
2x + 8y = 8

A. one solution
B. two solutions
C. infinitely many solutions
D. no solution

Answers

If you would like to know how many solutions does the system of two equations have, you can calculate this using the following steps:

x = -4y + 4 ... x + 4y = 4      /*(2)
2x + 8y = 8
____________
2x + 8y = 8
2x + 8y = 8
____________
0 = 0

The correct result would be infinitely many solutions.

Jennifer started with $50 in her savings account. Each week she withdrew $10. The amount of money in her savings account after x weeks is represented by the function f(x) = 50 - 10x. Find the intercepts

Answers

The value of the intercepts are;

⇒ x = 5

⇒ y = 50

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The amount of money in her savings account after x weeks is represented by the function is,

⇒ f (x) = 50 - 10x

Now,

Find the intercepts as;

The function is,

⇒ f (x) = 50 - 10x

Put x = 0,

⇒ f (x) = 50 - 10 × 0

⇒ f (x) = 50

⇒ y = 50

And, Put y = 0;

⇒ f (x) = 50 - 10x

⇒ 0 = 50 - 10x

⇒ 10x = 50

⇒ x = 5

Thus, The value of the intercepts are;

⇒ x = 5

⇒ y = 50

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y=0

50-10x=0
10x=50
x=5

x=0
y=50-0
y=50

Interceopt are x = 5     y = 50

Using the associative property of multiplication, which expression is equivalent to 4(7x)?A. 7(4x)

B. 28x

C. (4.7)x

D. 4(7+x)

Answers

Answer is choice A. The parentheses were moved while keeping the numbers and operation the same.

A rectangle’s area and perimeter have the same numerical value. The length of the rectangle is 12 units. What is the width of the rectangle?

Answers

We can conclude that the length of the rectangle is 12 Units. The value of the width of a rectangle is 2.4 units.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We have been given that a rectangle’s area and perimeter have the same numerical value also the length of the rectangle is 12 units.

The area of the rectangle = 12x2.4 = 28.8

Area = Perimeter

Length x Width = 2 (Length + Width)

Then Substituting the value of the width, we get the length,

12 x W = 2(12 + W)

12W = 24 + 2W

10W = 24

W = 2.4

Hence we can conclude that the length of the rectangle is 12 Units. The value of the width of a rectangle is 2.4 units.

To know more about the area and perimeter of a rectangle, follow the link given below.

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Answer:

2.4

Step-by-step explanation:

12x2.4 = 28.8 (Area)

12+12+2.4+2.4 = 28.8 (Perimeter)

What is the best classification for -4

Answers

The best classification for the number -4 is an integer.

What is a number?

A number is a basic component of mathematics. A number is an arithmetic value which is used to represent the quantity of an object.  Numbers are used for counting, measuring, keeping things in order, indexing, etc.

For the given situation,

The number is -4.

We have different types of numbers based on their properties such as natural numbers, whole numbers, rational and irrational numbers, integers, real numbers, complex numbers, even and odd numbers, etc.

Based on the properties of numbers, -4 can be classified as an integer or a real number or a rational number or a negative number or even number.

Among these the best classification for -4 is an integer.

Hence we can conclude that the best classification for the number -4 is an integer.

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rational number, integer, negative number

Four fifths of the members of a club are female. Three-quarters of these females are over 20 years old. What fraction of the members of the club are females over 20 years old? Show your working please! Thanks so much!

Answers

no. of FEMALES =4/5(no. of members in club)
in that 
no. of females over 20 years old=1/3(no. of FEMALES)=1/3(4/5(no. of members in club))
=4/15(no. of members in club)
no. of females over 20 years old/no. of members in club=4/15
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