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RSB [31]
3 years ago
13

The sum of two numbers is 400. If the first number is decreased by 20% and the second number is decreased by 15%, then the sum w

ould be 68 less. Find the numbers after the decrease.
Mathematics
1 answer:
Marianna [84]3 years ago
5 0
Let x = the first number
Let y = the second number

So we can set up two equations:
x+y = 400
.8x + .85y = 400-68

Use substitution:
y = 400 - x
.8x + (.85)*(400-x) = 332
.8x + 340 -.85x = 332
8 = .05x
x = 160

So that makes y = 240

We want the decreased values so:

160*.8 = 128
240*.85 = 204

So the answers are 128 and 204

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John and Paul both run on the same track each morning. The ratio of the number of miles John runs to the number of miles Paul ru
nirvana33 [79]

Answer:

Step-by-step explanation:

For example,

<u>Solution: Finding a unit rate</u>

If we divide 150 by 20, we get the unit rate for the ratio, 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5 minutes mile × 6 miles = 45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

4 0
3 years ago
I am confused about this question ​
Afina-wow [57]

Answer:

X = 5

Step-by-step explanation:

When the line is going vertically down, the x-intercept is always the equation of the line.

6 0
2 years ago
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If the figure is a parallelogram, then the opposite interior angles are
Whitepunk [10]
The answer is B final answer
6 0
3 years ago
If two marbles are selected at random with replacing between draws, what is the probability that the outcome is red then yellow?
saul85 [17]

The probability that the outcome is red then yellow is 0.036.

Given that in a jar there are 8 red marbles, 1 yellow marble and 6 green marbles.

We are required to find the probability of obtaining a red then yelow marble if two marbles are drawn and replacement is used.

Probability is the calculation of finding the chance of happening a event among all the events possible. It lies between 0 and 1.

Probability=Number of items/ Total items.

Number of red marbles=8

Number of yellow marble=1

Number of green marbles=6

Total marbles=15

Probability of obtaining red marble=8/15

Probability of obtaining yellow marble=1/15 (Because replacing is there so the number of total marbles do not decrease)

Required probability=8/15*1/15

=8/225

=0.035555

After rounding off we will get 0.036.

Hence the probability that the outcome is red then yellow is 0.036.

Question is incomplete. The following line should be included in question:

A jar contains 8 red marbles , a yellow marble and 6 green marbles.

Learn more about probability at brainly.com/question/24756209

#SPJ4

8 0
2 years ago
Question 1 What is −12÷2/3
solmaris [256]

Answer:

1. -18

2. -9/14

3. - 32

4.  -3/20

5.  -4.2

7 0
3 years ago
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