All categories

3 years ago

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

You might be interested in

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