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Ratling [72]
3 years ago
7

Determine the number of ice cubes in 32 glasses at a rate of 20 ice cubes in 5 glasses.

Mathematics
2 answers:
vova2212 [387]3 years ago
5 0
What We know
20 Ice cubes in every 5 glasses
20:5
Solution
20 / 5 = 4
5 / 5 = 1
4 ice cubes for every 1 glass
1 x 32 = 32
4 x 32 = 128
ANSWER: 128 ice cubes in every 32 glasses
vodka [1.7K]3 years ago
5 0

Answer:

The answer is 128 ice cubes.

Step-by-step explanation:

In order to determine the answer, we have to know about rates.

A rate is just a fraction that describes the relation between two measures.

In this case, we have the measure "ice cubes" and the measure "glasses".

The rate is :

\frac{icecubes}{glasses}=\frac{20}{5}

Then, we always have to fulfil this rate. So, for 32 glasses, we need:

x=amount of ice cubes

\frac{x}{32}=\frac{20}{5}  \\\\x=\frac{20*32}{5} \\\\x=128

Finally, there are 128 ice cubes for 32 glasses.

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what is the economic and political system in which the government controls property and the distribution of income? in this syst
Nutka1998 [239]

Let's look over the meaning of each option:


Theocracy: Theo- means that it is relating to religion. For example, Theology is the study of religion. This is a system where religious leaders control the country, but it is NOT an economic system.

Monarchy: Monarchy is when there is a king, queen, emperor, etc. It is not an economic system either.

Fundamentalism: A political system that strictly abides by a set of fundamentals. Someone who wants a constitution to be the highest form of law is a fundamentalist. However, this is also not an economic system.

Socialism: WINNER WINNER CHICKEN DINNER! Socialism is a system similar to communism where the government controls the economy and there is communal ownership. This is also the only option which is both a political and economic system.


TL;DR: The answer is Socialism.

8 0
2 years ago
20x^3+8x^2-30x-12 Rewrite the expression as the product of two binomials.
weqwewe [10]

Answer:

see below

Step-by-step explanation:

20x^3+8x^2-30x-12

Factor out the greatest common factor 2

2 (10x^3+4x^2-15x-6)

Then factor by grouping

2 ( 10x^3+4x^2      -15x-6)

Factor out 2 x^2 from the first group and -3 from the second group

2  ( 2x^2( 5x+2)  -3( 5x+2))

Factor out ( 5x+2)

2 ( 5x+2) (2x^2-3)

The 2 can go in either term to get binomials

( 10x +4) (2x^2-3)

or ( 5x+2) ( 4x^2 -6)

3 0
3 years ago
Read 2 more answers
Solve for z.<br> 7z +4 – 9z = 8<br> z = [?]
ZanzabumX [31]

Answer:

Z = -2

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Calculate the annual return percentage
xenn [34]
The annual return percentages will be evaluated using the formula:
A=P(1+r/100)^n
where:
A=amount
P=principle
r=rate
n=time

a] A=$500, P=$400, n=1 years
500=400(1+r)^1
solving for r we shall obtain:
1.25=1+r
hence
r=1.25-1
r==0.25
annual rate of investment is 25%

b] A=2500+100=$2600, P=$ 2000, n=1 year
hence
2600=2000(1+r)^1
2600/2000=1+r
1.3=1+r
r=1.3-1
r=0.3 
annual rate of investment is 30%
5 0
3 years ago
How many ways can 10 runners finish first, second, and third in a race?
olga nikolaevna [1]
Let's call the 10 runners A B C D E F G H I J
ABC
ABD
ABE
ABF
ABG
ABH
ABI
ABJ
ACB
ACD
ACE
ACF
ACG
ACH
ACI
ACJ
ADB
ADC
ADE
ADF
ADG
ADH
ADI
ADJ
AEB
AEC
AED
AEF
AEG
AEH
AEI
AEJ
AFB
AFC
AFD
AFE
AFG
AFH
AFI
AFJ
AGB
AGC
AGD
AGE
AGF
AGH
AGI
AGJ
AHB
AHC
AHD
AHE
AHF
AHG
AHI
AHJ
AIB
AIC
AID
AIE
AIF
AIG
AIH
AIJ
AJB
AJC
AJD
AJE
AJF
AJG
AJH
AJI
The above is 60 different ways, but now B C D E F G H I J have to come first, and the proses starts again, until we have covered them all. I'm not going to write them all out but in theory, there is 540 different ways. 9*60=540.
4 0
3 years ago
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