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3 years ago

Which of the following statements are true based on the diagram?

Mathematics

1 answer:

WINSTONCH [101]3 years ago

5 0

Its true yo 1234567891011121314

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Expand and simplify (x+5)(x+2)

Savatey [412]

Answer= x²+7x+10

When we want to expand expressions such as this, the FOIL method helps us remember what exactly to do. FOIL stands for

F:First
O:Outer
I:Inner
L:Last

So, given the expression (x+5)(x+2), lets multiply the first two terms.

x*x=x²

now the outer two terms

x*2=2x

now the inner terms

5*x=5x

and the last terms...

5*2=10

When we combine these expressions we get:

x²+7x+10

I think this is what you meant to be answered in your question, if I have been mistaken, just comment and I'll edit my answer....

5 0

3 years ago

Write the part-to-whole relationship for the fraction given below.

vivado [14]

Answer:

1. Two ribbons, A and B. One third of A is equal to all of B. Draw a tape diagram to show the ribbons.

2. Half Robert’s piece of wire is equal to 2/3 of Maria’s wire. The total length of their wires is 10 feet. How much longer is Robert's wire than Maria's?

3. Half Sarah’s wire is equal to 2/5 of Daniel’s. Chris has 3 times as much as Sarah. In all, their wire measures 6 ft. How long is Sarah’s wire in feet?

4 0

3 years ago

Simplify the expression square root of 6 times the square root of 33 plus 7

tekilochka [14]

Answer:

3√(22) + 7

Step-by-step explanation:

The way this is worded can be interpreted two different ways so just to cover the bases, I'll do both. I'm confident they are asking for way 1 though because it wants you to simplify the expression, not evaluate. Way 2 gives you a solution rather than an exact equation.

Number 1

√(6) x √(33) + 7

= √(6 x 33) + 7

= √(198) + 7

= √(9 x 22) + 7

= 3√(22) + 7

Number 2

√(6) x √(33 + 7)

= √(6) x √(40)

= √(6) x (4√(10))

= 4√(60)

= 8√(15)

5 0

3 years ago

a fuel mixture consists of 3 parts oil and 11 parts gasoline. the oil costs $0.75 per liter, and the gasoline costs $1.60 per li

kupik [55]

Answer:

Total selling price= $663.82

Selling price per liter= $1.69

Step-by-step explanation:

Giving the following information:

Proportion of oil and gasoline:

Oil= 3/14= 0.21

Gasoline= 11/14= 0.79

The oil costs $0.75 per liter.

The gasoline costs $1.60 per liter.

First, we need to calculate the number of liters of oil and gasoline required:

Oil= 0.21*392= 82.32 liters

Gasoline= 0.79*392= 309.68

Now, the total cost to produce 392 liters:

Total cost= 82.32*0.75 + 309.68*1.6

Total cost= $577.23

Finally, the total and unitary selling price:

Total selling price= 577.23*1.15= $663.82

Selling price per liter= 663.82 / 392= $1.69

6 0

3 years ago

Multiply. Write your answer in simplest form.

Mariana [72]

Answer:

The answer in lowest terms is 15/17

Step-by-step explanation:

Hope that helps!

3 0

2 years ago