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3 years ago

(6/7)^2 times (1/2)^2

Mathematics

2 answers:

Verizon [17]3 years ago

5 0

Answer:

9/49 or 0.184

Nikolay [14]3 years ago

4 0

Answer:

9/49

Step-by-step explanation:

(6/7)² × (1/2)²

Distribute the square to the fractions.

6²/7² × 1²/2²

36/49 × 1/4

Multiply.

36/196

Simplify.

9/49

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Multiply 2a by(3a+7)

Serjik [45]

6a^2 + 14a
hope this helps

5 0

3 years ago

2) Multiply<br> (6x+3)(3x2+8x+5)<br> Help, please shore me how to do this!

Brrunno [24]

Answer:

Result :

3 • (2x + 1) • (x + 1) • (3x + 5)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP1

Equation at the end of step 1

(6x + 3) • ((3x2 + 8x) + 5)

STEP2

STEP3

Pulling out like terms

3.1 Pull out like factors :

6x + 3 = 3 • (2x + 1)

Trying to factor by splitting the middle term

3.2 Factoring 3x2 + 8x + 5

The first term is, 3x2 its coefficient is 3 .

The middle term is, +8x its coefficient is 8 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 3 • 5 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is 8 .

-15 + -1 = -16

-5 + -3 = -8

-3 + -5 = -8

-1 + -15 = -16

1 + 15 = 16

3 + 5 = 8 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 5

3x2 + 3x + 5x + 5

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x+1)

Add up the last 2 terms, pulling out common factors :

5 • (x+1)

Step-5 : Add up the four terms of step 4 :

(3x+5) • (x+1)

Which is the desired factorization

sorry if its too much...

7 0

3 years ago

Mr Turner buys 12 pencils for $0.57 each . He pays with a $10 bill how much change would he revive

Delvig [45]

12(0.57)= 6.84

10-6.84= 3.16

Mr. Turner’s change is $3.16.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Simplify the expression.<br> 3\5x + 19 - 3/20x -7

MatroZZZ [7]

Answer:

9/20 x+12

Step-by-step explanation:

4 0

3 years ago

A movie theater has a seating capacity of 387. The theater charges $5.00 for children, $7.00 for students, and $12.00 of

Rainbow [258]

Answer:

The attendance was 198 children, 90 students and 99 adults.

Step-by-step explanation:

We define:

c: children attendance

s: students attendance

a: adult attendance

The equation that describes the total ticket sales is:

$5c+7s+12a=2808$

We also know that the children attendance doubles the adult attendance:

$c=2a$

The third equation is the seating capacity, which we assume is full:

$c+s+a=387$

We start by replacing variables in two of the equations:

$c=2a\\\\s=387-c-a=387-2a-a=387-3a$

Then, we solve the remaining equation for a:

$5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99$

Then, we solve for the other two equations:

$c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90$

The attendance was 198 children, 90 students and 99 adults.

8 0

3 years ago