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Leokris [45]
3 years ago
7

If m 2 n, which inequalities must be true? Check all that apply.

Mathematics
2 answers:
anzhelika [568]3 years ago
8 0

Answer:

(a)\ m+ 2.1 > n + 2.1

(b).\ m - (-4) > n - (-4)

(c)\ 9 +m> 6 + n

Step-by-step explanation:

Given

m > n

Required

Select true inequalities

(a)\ m+ 2.1 > n + 2.1

Subtract 2.1 from both sides

m > n

This is true

(b).\ m - (-4) > n - (-4)

Open brackets

m + 4 > n + 4

Subtract 4 from both sides

m > n

(c)\ 9 +m> 6 + n

m> -9+6 + n

m> n-3

This is also true

shutvik [7]3 years ago
4 0

Answer:

A,B,D

Step-by-step explanation:

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Peter invests $1000 at 4% compounded annually for 10 years and Jose invests $900 compounded annually at 5% for 11 years. Who end
Nesterboy [21]

Answer:

Jose ends up with more money with $59 more than Peter.

Step-by-step explanation:

To determine the amount they will have, you have to use the formula to calculate the future value:

FV=PV(1+r)^n

FV= future value

PV= present value

r= rate of interest

n= number of periods of time

-Peter:

FV=1,000*(1+0.04)^10

FV=1,000*1.48

FV=1,480

-Jose:

FV=900*(1+0.05)^11

FV=900*1.71

FV=1,539

Difference: $1,539-$1,480=$59

According to this, the answer is that Jose ends up with more money with $59 more than Peter.

6 0
3 years ago
A man made reservoir is filled in 15 days by 4 piples,if 4 pipes are used ,how long will it take to fill the reservoir
Delicious77 [7]
it would obviously take 15 days if this answers your question
3 0
3 years ago
The front of Rosie's house is similar in shape to the front of Sparky's doghouse. The base of the doghouse is 6 feet and the hei
Shtirlitz [24]

Answer:

33feet

Step-by-step explanation:

If the base of the doghouse is 6 feet and the height is 5 feet, we can write;

6 feet base = 5 feet height

To get the length of the base if the height is 27.5feet

x feet base = 27.5 feet high

Divide both expressions

6/x = 5/27.5

5x = 6 * 27.5

5x = 165

x = 165/5

x = 33ft

Hence the length of its base will be 33feet

4 0
3 years ago
Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24
Nat2105 [25]

Answer:

E. 16 min 12 sec

Step-by-step explanation:

Let x represent total time taken to complete the exercise.

We have been given that Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session.

When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. This means that 90% time of exercise is equal to 24 minutes and 18 seconds.

18 seconds will be equal to 0.3 minutes.

Let us find total time of exercise as:

\frac{90}{100}x=24.3

0.90x=24.3

\frac{0.90x}{0.90}=\frac{24.3}{0.90}

x=27

To find readout when Dara had completed 40% of her exercise session, we need to find 60% of total time.

\frac{60}{100}(27)=0.60(27)=16.2

Since our time in in minutes, so we will convert 0.2 minutes to seconds by multiplying by 60.

0.20(60)=12

Therefore, the readout will indicate 16 minutes 12 seconds, when Dara had completed 40% of her exercise session.

8 0
3 years ago
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kakasveta [241]

Answer:

10/54 = 0.185

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