MATHEMATICS MIDDLE SCHOOL

Rueben sells electronics. He earns a 5% commission on each sale he makes. If Ruben wants to make $100 in commission, what is the dollar amount of electronics he must sell? A.$105
B.$200
C.$2,000
D.$2,105

Answers

Answer 1
Answer: He must sell $200 worth of electronics.

200 x .5( 5%) = 100.

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A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?

Answers

3\ min\ ----->\frac45\nx\ min\ ----->1\nx\ \cdot\ \frac45=1\cdot3\n\frac45x=3\ /\ : \frac45\nx=3\ :\ \frac45\nx=\frac31\ \cdot\ \frac54\nx=(15)/(4)\nx=3\frac34\ [min]\nx=3\ min\ 45\ sec

answer: 3 min 45 sec
3\ min - \frac45\n x\ min - 1\n \n 3=\frac45 x\ /:\frac45\n (3)/(\frac45)=x\n x=3\cdot \frac54=\frac{15}4=3\frac34\ min=3\ min\ 45\ s

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Question He
Marco biked 700 meters on Friday. On Saturday, he biked 3 kilometers. On Sunday, he biked 4
kilometers, 500 meters. How many kilometers did Marco bike over the three days?
Marco biked 42000000 kilometer(s) over the three days.
(Type a whole number or a decimal.)

Answers

Answer:

858

Step-by-step explanation:

How to work out:
5x+1=2x-8

Answers

5x+1=2x-8 \n 5x-2x=-8+1 \n 3x=-7 \n x=-7/3

S= {-7/3}
5x+1=2x-8
3x=-7
x=-7/3

A theater offers a 20% discount to senior citizens on all tickets. The regular cost of a matinee ticket is $9.75.Which expression represents the cost of a matinee ticket after the discount is applied?

A. $9.75 * 1/5

B. $9.75 * 4/5

C. $9.75 * 6/5

D. $9.75 * 9/5

Thank you for helping me! Also, if you do answer could you explain how you got your answer, it would really help me understand it more. Thanks! <3

Answers

20 is 1/5 of 100%
100%-regular price
Answer is a

A vehicle moving at a constant speed travels 45 miles in 3/4 hour. The driver thinks he will be late to a meeting that is still 65 miles away and that starts in 1.25 hours. Assume he maintains a constant speed. Find the driver's unit rate of speed and explain whether he was late or not. I REALLY need help!

Answers

ok so
speed=distance/time

find his speed in miles per 1 hour

3/4=0.75
s=d/t
s=45/0.75
s=60/1
s=60mph

starts in 1.25 hours
if he takes all that time, will he be late, on time, or early

multiply
60mph
1.25 hours
60 times 1.25=75
in 1.25 hour he can travel 75miles

he needs to only travel 65
75>65
he will make it
not late, he is early 
1) we calculte the driver´s unit rate of speed.
s=speed
d=distance
t=time.

s=d/t


45 miles------------------3/4 hour
x-----------------------------  1 hour

x=(45 miles * 1 hour) / (3/4 hour)=60 miles.

speed or rate=60 miles / 1 hour.

2)we calculate the distance traveled at 1.25 hour.

distance=rate * time

distance=(60 miles /1 hour) * 1.25 hour=75 miles.

Answer: the driver would´t go late, because, the distance is 65 miles, and he can travel 75 miles if he drive with that speed .

Wanda is shopping for a pet carrier. One small carrier can hold 240 ounces. Her cat weighs 12 pounds. Can the carrier hold her cat?

Answers

Answer:

The carrier can hold the cat.  

Step-by-step explanation:

The rate of conversion between ounces and pounds is

1 ounce (oz) is equal to 0.0625 pounds (lb)

So,  The carrier can hold 240 x 0.0625 =15 pounds

The cat weighs 12 pounds, that is less than the maximun (15 pounds).  
Yes, 12 x 16 gives us the amount of ounces the cat weighs which is 192 ounces. Therefore, her cat CAN fit. 192 oz < 240 oz
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