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777dan777 [17]
2 years ago
10

Pete, Lulu and Liza are walking in the Boston downtown. Each time Pete takes 4

Mathematics
1 answer:
Rasek [7]2 years ago
7 0

If Liza takes 120 steps, then the number of steps taken by Pete will be 72.

<h3>What are a ratio and a proportion?</h3>

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

Pete, Lulu, and Liza are walking in the Boston downtown. Each time Pete takes 4 steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps.

Then the relation between is given as

4 Pete → 4 Lulu

5 Lulu → 4 Liza

Then we have

\rm \dfrac{5}{3} \times 4 \  Pete  \rightarrow \dfrac{5}{3} \ Lulu \rightarrow 4 \ Liza

If Liza takes 120 steps, then the number of the step taken by Pete will be

\rm \dfrac{5}{3} \times 4 \  Pete  \rightarrow 4 \times 120 \\\\Pete  \rightarrow 72

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

#SPJ1

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Question 1<br> Let f(x) = 2x^2 - 3x - 4 and g(x) = x + 5. Find (fg)(x).
Scilla [17]

The function (fg)(x) is a composite function

The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20

<h3>How to determine the function (fg)(x)?</h3>

The functions are given as:

f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.

To calculate (fg)(x), we make use of

(fg)(x) = f(x) * g(x)

So, we  have:

(fg)(x) = (2x^2 - 3x - 4) * (x + 5)

Expand

(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20

Collect like terms

(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20

Evaluate

(fg)(x) = 2x^3 + 7x^2 - 19x - 20

Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20

Read more about composite function at:

brainly.com/question/10687170

7 0
3 years ago
Which shows the factored form of x2 – 12x – 45?
densk [106]

Answer:

Answer : 0 = ( x + 3)( x -15)

6 0
3 years ago
CAN SOMEONE HELP ME !!!!!!!!!
MissTica

Answer:

She will get <u>80mg</u> of dextromethorphan and <u>800mg</u> of guaifenesin. And the bottle last for <u>6 days</u> approximately.

Step-by-step explanation:

Given that the Robitussin DM contains dextromethorphan 10mg/5mL and gualfenesin 100mg/5mL. And we are also given that Mrs Smith took four doses and each dose is 2 teaspoons=2X5=10mL.

So, four doses=4X10=40mL.

So, dextromethorphan in 4 doses is = \frac{10}{5}X40=80mg

And Guaifenesin in 4 doses is = \frac{100}{5}X40=800mg

Dosage of medicine daily she has to take=40mL and the bottle contains 237 mL. Hence the number of days bottle last = \frac{237}{40}=5.925≈6 days approximately.

7 0
3 years ago
Three consecutive odd integers are such that the sum of the first and second is 31 less than 3 times the third. Find the integer
Otrada [13]

1st:x

2nd x+2

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distribute

2x+2 = 3x+12-31

2x+2 =3x-19

subtract 2x from each side

2 = x-19

add 19 to each side

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3 0
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A person of height 1.6m up to the eye level is standing at a point 2m away from the bank of the river and found an angle of elev
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Step-by-step explanation:

tan30° = Height of person / (Distance away from river bank + river's width) = 1/√3.

Therefore 1.6m / (2m + x) = 1/√3

By cross multiplication, 1.6√3 = 2 + x.

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