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abruzzese [7]
3 years ago
14

Which is the value of the expression ((10^4)(5^2)/(10^3)(5^3))^3

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

8

Step-by-step explanation:

Let's set this up to see if we can simplify it a bit:

(\frac{10^4*5^2}{10^3*5^3})^3

Notice we have 4 tens on top and 3 on bottom, so we can eliminate the bottom 3 altogether and leave just one on top.  And we have 2 fives on the top and 3 on bottom, so we can eliminate the 2 on the top and leave one on the bottom.  Now that looks like this:

(\frac{10}{5})^3

10 divided by 5 is 2, and 2 cubed is 8

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Select all equations that can represent the question: "How many groups of 45 are in 1?" A ?⋅1=45? Times 1 is equal to 4 fifths B
Aleonysh [2.5K]

This question is not correctly written.

Complete Question

Select all equations that can represent the question: "How many groups of 4/5 are in 1?" A ?⋅1=4/5? Times 1 is equal to 4 fifths B 1⋅4/5=?1 times 4 fifths is equal to ? C 4/5÷1=?4 fifths divided by 1 is equal to ? D ?⋅4/5=1? Times 4 fifths is equal to 1 E 1÷4/5=?1 divided by 4 fifths is equal to ?

Answer:

D ?⋅4/5=1 = ? Times 4 fifths is equal to

E 1÷4/5=? = 1 divided by 4 fifths is equal to

Step-by-step explanation:

How many groups of 4/5 are in 1?

The operation used to solve this is that Division operation.

Hence, we solve it by saying:

1 ÷ 4/5 = ?

= 1× 5/4 = ?

5/4 = ?

Cross Multiply

5 = 4 × ?

? = 5/4

The equations that can represent the question: is

Option D ?⋅4/5=1 = ? Times 4 fifths is equal to

Option E 1÷4/5=? = 1 divided by 4 fifths is equal to

7 0
2 years ago
Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS,
MariettaO [177]

Answer:

ΔPTS≅ΔRTA by AAS axiom of congruency

Step-by-step explanation:

Consider ΔPQA and ΔRQS

∠PQA=∠RQS     (Vertically Opposite Angles)

∠QAP=∠QSR     (Complementary of two equal angles, ∠RAT and∠PST)

Due to angle sum property of a triangle, we come to the conclusion that

∠APQ=∠SRQ

Consider ΔPTS and ΔRTA

TA=TS  (Given)

∠RAT=∠PST(Given)

∠APQ=∠SRQ (Proved above)

Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.

8 0
3 years ago
Please help ASAP will mark brainiest
yawa3891 [41]

Answer:

Yes, they are proportional.

Step-by-step explanation:

Using this from what I found helped me answer the question, and if you compare their ratios, they are both going to show that 75% each class have texted:

Proportional: When quantities have the same relative size. In other words they have the same ratio.

All you would have to do is compare the amount of students that texted(x) to the amount of students there are total in the class(y). When you compare them in a y:x format, it will all lead up to the results showing that 75% of both groups have texted.

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3 years ago
1+231 divided by 223,123
guapka [62]

Answer:

1.0010353034

Step-by-step explanation:

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2 years ago
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The next three numbers are 48, 44, 176
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