MATHEMATICS HIGH SCHOOL

A package of 4 pairs of insulated socks costs $27.96. What is the unit price of the pairs of socks?The unit price is $ per pair of socks.

Answers

Answer 1

Answer:

Answer:

1 pair of socks cost $6.99

Step-by-step explanation:

$27.96 divided by 4 = $6.99

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if the US Senate, with 100 members, contains 20 more Democrat's than Republicans how many Democrat's does it contain?

Answers

There are 60 Democrat's does it contain.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Number of members = 100

And, It contains 20 more Democrat's than Republicans.

Now, Let number of Democrat's does it contain = x

Then, Number of Republicans does it contain = x - 20

Since, Number of members = 100

Hence, We can formulate;

⇒ x + (x - 20) = 100

⇒ 2x = 100 + 20

⇒ 2x = 120

⇒ x = 60

Thus, Number of Democrat's does it contain = 60

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100=d+(d-20)
First add 20 to both sides.
120=d+d
Now divide the sides by 2.
D=60
There are 60 democrats.
100=60+(60-20)
100=60+40

there are 60 democrats and 40 republicans

Edwin and Anthony are building a rectangular deck in their backyard. The longer side is 2 ft more than 1/3 of the perimeter. The shorter side is 1/10 of the perimeter. They also know that the longer side is 9 ft longer than the shorter side. What is the perimeter of the deck?

Answers

Answer:

30 ft

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Perimeter = x

Length = 1/3x + 2

Width = 1/10x

Length = 9 + 1/10x

Perimeter of the deck = 2(length + width)

x = 2(1/3x + 2 + 1/10x)

x = 2(10x+3x/30 + 2)

x = 2(13/30x + 2)

x = 26/30x + 4

x - 26/30x = 4

30x-26x/30 = 4

4/30x = 4

Divide both sides by 4/30

x = 4 ÷ 4/30

= 4 × 30/4

x = 30 ft

Length = 1/3x + 2

= 1/3(30) + 2

= 30/3 + 2

= 10 + 2

= 12 ft

Width = 1/10x

= 1/10(30)

= 30/10

= 3 ft

Length = 9 + 1/10x

= 9 + 1/10(30)

= 9 + 30/10

= 9 + 3

= 12 ft

The perimeter of the deck = x = 30 ft

Which fractions are equivalent to - 4/9 ?Choose all answers that are correct.

A.
-2/5

B.
-8/18

C.
16/-36

D.20/45

Answers

b] -8/18

-4/9 times 2=-4/9

Which of these is an example of a literal equation?A.3x – 4y
B.12 = 9 + 3x
C.6 + 30 = 62
D.ax – by = k

Answers

ANSWER

$ax-by=k$ is an example of literal equation.

EXPLANATION

A literal equation is an equation in which letters or variables are used to represent real values.

A literal equation consists of at least two letters or variables.

The first option consists of two variables but it is not an equation. It is just an expression.

The second option is not a literal equation because it consists of only one variable. This is just a linear equation in one variable. But a literal equation should have at least two variables or letters.

As for the third option, it does not even contain a variable or letter.

Choice D. represents a literal equation

Help please rn please

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

T = temperature

-52 < T < 108

Temperatures fall between the values of -52 and 108. D is the number line that shows this.

A pencil and a ruler cost $1.50 together. The ruler costs $1.00 more than the pencil. How much does the pencil cost?

Answers

The pencil costs $0.25.

One way to deduce this is to divide 1.50 by 2 (equaling 0.75) and then subtracting .5 to get 0.25 because if it's $1 more, then the ruler would cost 0.75 + 0.5 and the pencil would cost 0.75 - 0.5, making a total of $1.50.

Another way is to make it an equation. Let's say the ruler is r dollars and the pencil is p dollars.
r + p = 1.50
r = p + 1.00
If we know these two equations, then you can substitute p + 1.00 in the 1st equation (instead of r). This gets us:
p + 1.00 + p = 1.50
You can simplify this into:
2p + 1.00 = 1.50
Then you subtract 1.00 from both sides:
2p = 0.50
And you divide 2 from both sides:
p = 0.25
Getting you the answer of:
The pencil costs $0.25

Hope this helps! :)

Answers:

The pencil costs $0.25

The ruler costs $1.25

Explanation:

Assume that the cost of the pencil is x and that the cost of the ruler is y.

We are given that:

1- The total cost is $1.5

This means that:

x + y = 1.5 ...........> equation I

2- The ruler costs $1 more than the pencil

This means that:

y = x + 1 ............> equation II