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3 years ago

Use the number line below, where RS = 7y +5. ST = 3y +5, and RT = 70. a. What is the value of y?

Mathematics

1 answer:

NeTakaya3 years ago

8 0

Answer:

Step-by-step explanation:

7y+5+3y+5=70

10y+10=70

10y=60

y=6

7(6)+5= 42+5= 47

3(6)+5= 18 + 5 =23

47+23= 70

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Which expression simplifies to 41? Choose all that apply!

Arada [10]

Answer:

None of the expressions is simplified to 41.

Step-by-step explanation:

You have to follow the P.E.M.D.A.S., this is:

P:Parentheses first.

E:Exponent next.

M:Multiplication.

D:Division.

(Multiplication and Division is whichever come first, from left to right)

A: Addition.

S: Subtraction.

(Addition and Subtraction is whichever come first, from left to right).

<u><em>We are going to analyze every option:</em></u>

1. 10+ 2.4 - 1

First we have to solve the multiplication:

$10+ 2.4 - 1=10+8-1$

Now we have to solve the addition and subtraction from left to right:

$10+8-1=18-1=17\neq 41$

This is not a correct answer.

2. 10+2.(4-1)

We have to solve the parentheses first:

$10+2.(4-1)=10+2.(3)$

Now the multiplication and then the addition.

$10+2.(3)=10+6=16\neq 41$

This is not a correct answer.

3. (10+23).4-1

We have to solve the parentheses first:

$(10+23).4-1=(33).4-1$

Now the multiplication and then the subtraction:

$(33).4-1=132-1=131\neq 41$

This is not a correct option.

4. $10+(2^2.4)-1$

We have to solve the parentheses first, in the parenthesis first we have to solve: $2^2$ and then do the multiplication.

$10+(2^2.4)-1=10+(4.4)-1=10+16-1$

Now we have to solve the addition and subtraction from left to right:

$10+16-1=26-1=25\neq 41$

This expression is not a correct option.

Then none of the expressions is simplified to 41.

5 0

3 years ago

Determine all intervals on which f(x) > 0.

8_murik_8 [283]

Answer: [-7, -4]u[0, 3]

4 0

2 years ago

Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c

sergejj [24]

Answer:

(C)c= $\frac{3}{7}$ f

Step-by-step explanation:

Clare uses $9\frac{1}{3}$ cups of flour to make 4 cakes.

It means she uses 1 cup of flour to make $4\div9\frac{1}{3}$ cakes.

Let us simplify that expression first for future use.

$4\div9\frac{1}{3}=4\div\frac{28}{3} =4 X \frac{3}{28} =\frac{3}{7}$

Therefore, Clare uses 1 cup of flour to make $\frac{3}{7}$ cakes.

If Noah follows the same recipe,

He uses f cups of flour to make c cakes

Using Ratio Method

→ Name : Cup : Cake

→ Clare : 1 : $\frac{3}{7}$

→ Noah : f : c

By using cross multiplication

c X 1 = $\frac{3}{7}$ f

c= $\frac{3}{7}$ f

The equation c= $\frac{3}{7}$ f represents the relationship between c and f

8 0

3 years ago

Solve the following compound inequality 4

CaHeK987 [17]

Answer:

$0 < x < 8$

Step-by-step explanation:

Given

$4 < x + 4 < 12$

Required

Solve

$4 < x + 4 < 12$

Split:

$4 < x + 4$ and $x + 4< 12$

Collect Like Terms

$4 - 4 < x$ and $x < 12- 4$

$0$ and $x < 8$

Combine

$0 < x < 8$

7 0

2 years ago

Millie designed a rectangular label to put on the front of her scrapbook. The label was 512 foot wide and 56 foot long. What was

cluponka [151]

28,672 feet squared. The area of a rectangle is it's length multiplied by its width, so you would multiple 512 with 56 to get your answer of 28,672. hope this helps :)

4 0

3 years ago