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Nookie1986 [14]
3 years ago
10

Mesha is comparing 1/3 and 3/5 using benchmarks 0 and 1. Which statements are correct? Check a that apply.

Mathematics
2 answers:
avanturin [10]3 years ago
8 0

Answer:

A and C

Step-by-step explanation:

Dennis_Churaev [7]3 years ago
5 0

Answer:

A, C

Step-by-step explanation:

Let's use a different benchmark for this: 1/2. Half of 5 is 2 1/2, so 3/5 is clearly <em>bigger</em> than 1/2 (since 3 is bigger than 2 1/2). Half of 3 is 1 1/2, so 1/3 is clearly <em>smaller</em> than a half (since 1 is smaller than 1 1/2). We have

1/3 < 1/2 < 3/5

Which, of course, implies that <em>1/3 is less than 3/5</em>, and by being smaller, <em>1/3 is closer to 0 than to 1</em>.

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A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?
kondor19780726 [428]

Answer:

Volume is increased in a factor of 8. The volume is increased from 48\,ft^{3} to 384\,ft^{3}.

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

V = w\cdot h \cdot l

Where:

w - Width

h - Height

l - Length

If dimensions are doubled, then volume is increased in a factor of 8:

V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)

V_{f} = 8\cdot w \cdot h \cdot l

V_{f} = 8 \cdot V_{o}

The volume is increased from 48\,ft^{3} to 384\,ft^{3}.

3 0
3 years ago
Please help as soon as possible
Studentka2010 [4]
The lines are reciprocal because they cross to form an X. Also 4/5 is the reciprocal of 5/4
4 0
3 years ago
Read 2 more answers
Expand and simplify ( √2 + 3)to the power of 2
11111nata11111 [884]

Answer:

Step-by-step explanation:

(\sqrt{2}+3)^2=(\sqrt{2})^2 + 6\sqrt{2}+9 = 6\sqrt{2} +9+2=6\sqrt{2}+11

hope this helps

5 0
3 years ago
Calculate the future value in five years of $8,000 received today if your investments pay future value a. 5 percent compounded a
zhannawk [14.2K]

The Future value is:

a) $10,210.25

b) $11,220.41

c) $12,308.99

d) $18,938.90

e) $44,835.28

What is future value?

The future value (FV) of any asset can be understood as an increase in its value at a fixed rate over a period of time. For a given principal sum P, rate of interest r, and time period t, the future value of an asset can be calculated as:

FV=P*(1+r) ^t

We can find future value as shown below:

P=$8,000

t=5 year

a) r=6%=0.06

FV=8000*(1+0.05) ^5

=8000*(1.0) ^5

=$10,210.25

b) r=7%=0.07

FV=8000*(1+0.07) ^5

=8000*(1.07) ^5

=$11,220.41

c) r=9%=0.09

FV=8000*(1+0.09) ^5

=$12,308.99

d) r=9% compounded semiannually

= 0.09

t=2*5=10

FV=8000*(1+0.09) ^10

=8000*(1.09) ^10

=$18,938.90

e) r=9 percent compounded quarterly

=0.09

t=5*4=20

FV=8000*(1+0.09) ^20

=8000*(1.09) ^20

=$44,835.28

Learn more about Future value here:

brainly.com/question/7463006

#SPJ2

3 0
2 years ago
Find the common ratio of the geometric sequence − 1 , − 9 , − 81 ,
frozen [14]

Step-by-step explanation:

everything can be found in the picture

7 0
3 years ago
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