MATHEMATICS HIGH SCHOOL

Yoko paid $10.70 for stamps. She bought three times as many 25 cent stamps as 14 cent stamps, twice as many 2 cent stamps
as 25 cent stamps and the same number of one-cent stamps as
2 cent stamps. How many stamps of each type did Yoko buy?

Answers

Answer 1

Answer:

Answer:

30 of 25 cent, 10 of 14 cent, 60 of 2 cent

Step-by-step explanation:

Note: it must be typo 10.70, changed to 10.10

Number of 25 cent stamps = x

Number of 14 cent stamps = y

Number of 2 sent stamps = z

Total = $10.10 = 1010 ¢
x = 3y
z = 2x ⇒ z = 6y

Solving equation

25x + 14y + 2z = 1010
25(3y) + 14y + 12y = 1010
75y + 26y = 1010
101y = 1010
y = 1010/101
y = 10

The finding x and z

x = 3*10 = 30
z = 6*10 = 60

Answer 2

Answer:

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In a 100 kg afebrile person with intact skin, insensible fluid loss from lungs and skin is approximately: A) 500 mL/day. B) 800 mL/day. C) 1000 mL/day. D) 1200 mL/day.

Answers

In a 100 kg afebrile person with intact skin, the insensible fluid loss from the lungs and skin is approximately 500 mL/day (Option A).

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In a person with normal body temperature (afebrile) and intact skin, the average insensible fluid loss is estimated to be around 500 mL per day. This loss helps maintain the body's fluid balance and temperature regulation.

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The end points of line segment AB are A(3,–12) and B(6,k).What is the value of k if the slope of line segment AB is –2?

Pls. show me how to do it

Answers

(x,y) (3,-12) (6,k) y=mx+b sloope=m y=-2x+b sub known point (x,y) (3,-12) x=3 y=-12 -12=-2(3)+b -12=-6+b -6=b y=-2x-6 (6,k) k=-2(6)-6 k=-12-6 k=-18 k=-18

In a restaurant, Chad tracked the number of children and adults that came in over an hour. During that time, 16 children and 40 adults came in the restaurant. What is the ratio of adults to children that came into the restaurant?a. 2:7
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Answers

you have 40/16
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Which of the following is the reciprocal of x2 – 2x – 8?

Answers

Hi again

x² - 2x - 8
Factor
= (x + 2)(x -4)
Answer : A is the correct option.

If you wanna check if A is the right answer, I will solve it for you and it will you give you the exact answer which will be x² - 2x - 8
(x+2)(x-4)
Distribute
(x)(x) + (x)(-4)+(2)(x)+(2)(-4)
= x² - 4x + 2x - 8
= x² - 2x - 8
Here it is, we find the exam answer.

Thus, (x+2)(x-4) is the reciprocal of x² -2x - 8

I hope that's help !

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