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Radda [10]
3 years ago
7

A number divided by 12 is equal to 27

Mathematics
1 answer:
Rasek [7]3 years ago
7 0

Answer:

x = 324

Step-by-step explanation:

\frac{x}{12} = 27, where x is the unknown number

multiply both sides by 12:

x = 324

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Rewrite the expression using a single, positive exponent: 14^-3x14^12
Alja [10]

Answer:

14⁹

Step-by-step explanation:

When you're multiplying, you add the exponents. So, -3+12=9.

6 0
3 years ago
Encuentra el cociente ??​
vagabundo [1.1K]

For this case we must find the quotient of the following expression:

\frac {(- 8x ^ 2 * y) (- 7x ^ 5 * y ^ 3)} {- 2x ^ 2 * y ^ 3}

We can rewrite the expression as:

(We take into account that- * - = +)

\frac {56x ^ 2 * y * x ^ 5 * y ^ 3} {- 2x ^ 2 * y ^ 3} =

By definition of multiplication of powers of the same base, we place the same base and add the exponents:

\frac {56x ^ {2 + 5} * y ^ {1 + 3}} {- 2x ^ 2 * y ^ 3} =\\\frac {56x ^ {7} * y ^ {4}} {- 2x ^ 2 * y ^ 3} =

By definition of division of powers of the same base, we place the same base and subtract the exponents:

-28x^{ 7-2} * y^{ 4-3} =\\-28x ^ 5 * y

Answer:

-28x ^ 5 * y

4 0
3 years ago
The endpoint of MP are M(2,1) and P(14,10). If point K partitions MP in aratio of MK:KP=3:2, what are the coordinates of K?
Paha777 [63]

2(2,1)(14,10)

(4,2) - (14,10)= (-10, -8)

The coordinates of K are (-10, -8).

4 0
3 years ago
Read 2 more answers
Miguel reels his teacher that 1/5 is the same as 20% what best justifies Miguel’s answer
horrorfan [7]
If you do the proportion, you have to put 1/5 = 20/100. The 20 represents the percentage. Then you have to say to yourself that how many time 5 goes to 100, well its x20 then if we multiply 1 x 20 we'll get 20. So, he is correct, 1/5 = 20%. Remember what number we think of when we hear the word percent, the number is 100.
5 0
3 years ago
Read 2 more answers
Please help?!
Anton [14]

Answer:

Δ PQT ~ Δ QRS  .....{S-S-S test for similarity}...Proof is below.

Step-by-step explanation:

Given:

In Δ PQT

PQ = 30 ft

QT = 28 ft

TP = 20 ft

In Δ QRS

QR = 15 ft

RS = 14 ft

SQ = 10 ft

To Prove:

Δ PQT ~ Δ QRS

Proof:

First we consider  the ratio of the sides

\frac{PQ}{QR}=\frac{30}{15} = \frac{2}{1}            ..............( 1 )

\frac{QT}{RS}=\frac{28}{14} = \frac{2}{1}            ..............( 2 )

\frac{TP}{SQ}=\frac{20}{10} = \frac{2}{1}            ..............( 3 )

So By equation ( 1 ), ( 2 ) and  ( 3 ) we get

\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}

Now in Δ PQT  and Δ QRS we have

\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}

Which are corresponding sides of a similar triangle in proportion.

∴ Δ PQT ~ Δ QRS  .....{S-S-S test for similarity}...Proved

8 0
3 years ago
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