X - 12 = -4 A. x= -8 B. X = 8 C. x = -16 D. x = 16

Hannah buys 3 packs of 36 exposure film and 2 packs of 24 exposure film. She uses 8 rolls of film. How many rolls does she have

vitfil [10]

108 + 48 = 156
156-8= 148
148 rolls left
is your answer

5 0

3 years ago

Express the given quantity as a single logarithm and simplify: 3logx+2log(y-2)-5logx

storchak [24]

Simplify each term.
Simplify 3log(x) by moving 3 inside the logarithm.
log(x^3)+2log(y−1)−5log(x)

Simplify 2log(y−1) by moving 2 inside the logarithm.
log(x^3)+log((y−1)^2)−5log(x)

Rewrite (y−1)^2 as (y−1)(y−1).
log(x^3)+log((y−1)(y−1))−5log(x)

Expand (y−1)(y−1) using the FOIL Method.
log(x^3)+log(y(y)+y(−1)−1(y)−1(−1))−5log(x)

Simplify each term.
log(x^3)+log(y^2−2y+1)+log(x^−5)

Remove the negative exponent by rewriting x^−5 as 1/x^5.
log(x^3)+log(y^2−2y+1)+log(1/x^5)

Combine logs to get log(x^3(y^2−2y+1))
log(x^3(y^2−2y+1))+log(1/x^5)

Combine logs to get log(x^3(y^2−2y+1)/x^5)
log(x^3(y^2−2y+1)/x^5)

Cancel x^3 in the numerator and denominator.
log(y^2−2y+1/x^2)

Rewrite 1 as 1^2.
y^2−2y+1^2/x^2

Factor by perfect square rule.
(y−1)^2/x^2

Replace into larger expression.

log((y−1)^2/x^2)

3 0

3 years ago

Factor 48m + 42n to identify the equivalent expressions

Ksenya-84 [330]

The equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

Solution:

Given that, we have to factor the given expression

Given expression is:

48m + 42n

The equivalent expressions can be found by factoring out the common factors of 48 and 42

Let us first find the factors of 48 and 42

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Thus the common factors are: 1, 2, 3, 6

Let us factor out 2 from given expression

$48m + 42n = 2(24m+21n)$

Now factor out 3 from given expression

$48m + 42n = 3(16m + 14n)$

Now factor out 6 from given expression

$48m+42n=6(8m + 7n)$

Thus the equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%209%20%2B%202x%20-%203y%20%3D%208" id="TexFormula1" title="x + y = 9 + 2x -

Vadim26 [7]

Answer:

(7,2)

Step-by-step explanation:

x + y = 9 + 2x - 3y = 8 is really two equations, and you should show this by separating x + y = 9 from 2x - 3y = 8 through the use of a comma, or the word "and," or through writing only one equation per line.

Here you have the system of linear equations

x + y = 9

2x - 3y = 8.

Let's solve this system by elimination. Mult. the 1st eqn by 3, obtaining the system

3x + 3y = 27

2x - 3y = 8

-------------------

5x = 35, so that x = 7. Subbing 7 for x in x + y = 9, we get 7 + y = 9, indicating that y = 2.

Thus, the solution to this system of equations is (7,2).

6 0

3 years ago

What is 52 divide by 69

vampirchik [111]

Answer:

Its 52/69... did u mean 69 divide by 52? If so the answer is 69/52.

Step-by-step explanation:

Hopefully u wrote the answer correctly, as always plz mark as brainliest. Hope this helps!

Oh wait!

The decimal form is: 0.753621 i think

5 0

3 years ago

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