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professor190 [17]
3 years ago
11

Otis tutors math students on sunday afternoons. he charges $35 for each of the first 10 students. he changed $40 for each additi

onal student the maximum number of students he will accept is 20.
answer each question below:

a. what did otis make if 8 students came on the first sunday?

b. what did otis made if 17 students came of the second sunday

c. if a is the amount that otis makes from S students that he tutors, write A as a piece wise function of S
Mathematics
1 answer:
lions [1.4K]3 years ago
7 0
For A it’ll be $280
B-$630
C- I don’t know
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A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is
eduard

Answer:

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

so

0.05x+0.10y=9.45 ------> equation A

0.05x+0.10(2y)=16.65

0.05x+0.20y=16.65 ------> equation B

<em>Solve the system by substitution</em>

we have

0.05x+0.10y=9.45 ------> equation A

0.05x+0.20y=16.65 ------> equation B

Multiply both equations by 100 both sides

5x+10y=945 ---->5x=945-10y --> equation C

5x+20y=1,665 ----> equation D

substitute equation C in equation D

(945-10y)+20y=1,665

solve for y

945+10y=1,665

10y=1,665-945

10y=720

y=72\ dimes

Find the value of x

5x=945-10y

5x=945-10(72)

5x=225

x=45\ nickels

<em>Alternative Method</em>

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

7 0
3 years ago
What value is true of x makes this equation true 0.7x-5=0.2x+1
Sever21 [200]

Answer:

x=12

Step-by-step explanation:

First you make sure x is on both sides of the equation. So you do 0.7x-5-0.2x=0.2x+1-0.2x. Which just simplifies to 0.5x-5=1. You make sure x is the only thing on that side of the equation so you do 0.5x-5+5=1+5 which simplifies to 0.5x=6. Multiply the equation times 2 to just have x. x=12. The value that makes true of x is 12.

7 0
3 years ago
Find the slope of the line<br> y=-6/5x + 4/9
BabaBlast [244]

Answer:

-6/5

Step-by-step explanation:

slope =coefficient of x

6 0
3 years ago
Kayla cut a piece of metal that weighed 2,700 grams. Marry cut a piece that was 3,200 grams. How much heavier in grams was kayla
Free_Kalibri [48]
Kaylas piece is not heavier, is this a trick question?
4 0
4 years ago
Read 2 more answers
PLEASE HELP! I am having trouble with both questions
schepotkina [342]

Answer:

someone had the same exact question i just helped him on it sub 4 for x and 1 for h

Step-by-step explanation:

6 0
2 years ago
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