Sarah put raisins into 3/4 of the oatmeal cookie dough she was making. She put nuts into 2/5 of the oatmeal cookie dough with the raisins. What fraction of the entire batch has BOTH raisins and nuts.

Answers

Answer 1

Answer: The LCM (lowest common multiple) of 4 and 5 is 20, so convert them so that the denominator is 20:

3/4 = 15/20
2/5 = 8/20

I didn't quite read the question properly, but regardless. Since only 15/20 of the batch has raisins, of which only 8/20 has nuts, we can formulate this equation to solve:

1x15/20x8/20
=3/10

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What is the graph of the system y= -2x + 3 and 2x + 4y= -8

Answers

y = -2x + 3
2x + 4y = -8

y = -2x + 3
y + 2x = 3

2x + 4y = -8

Subtract those equations
3y = -11
y = -11/3

y = -2x +3
-11/3 = -2x + 3
2x = 3 + 11/3
x = 3/2 + 11/6
x = 20/6
x = 10/3

therefore above lines will intersect in this ( 10/3 , -11/3 ) coordinates

Answer: C (third)

Step-by-step explanation:

36x^2-21x-30 factor

Answers

Easy...

to even begin to factor..you must factor out a 3, to simplify your answer.

3(12 $x^(2)$ -7x-10)

Now, you can factor.

$3(12 x^(2) -7x-10)$

So..to find the answer...

12*-10=-120x
and
you would use -7x

What multiplies to -120..but adds to -7?

-15*8=-120
and
-15+8=-7

To find the answer, plug in what you know..

3(3x+2)(4x-5)

Thus, your answer.

Find the next two terms of the sequence: 80, ?40, 20, ?10, ______, ______. A) 20, 40 B) 1 2 , 1 4 C) 5, ? 5 2 D) ?30, ?40

Answers

Answer:

The correct option is C) 5, 5/2

The sequence given is:

80, 40, 20, 10, _____, ______

If we look at the given numbers, it appears that every next number is obtained by dividing the previous number of 2.

Like 40 is obtained by dividing 80 by 2

$(80)/(2)=40$

Similarly:

$(40)/(2)=20$

$(20)/(2)=10$

$(10)/(2) = 5$

$(5)/(2)$

Therefore, the complete sequence is:

80, 40, 20, 10, 5, 5/2

Hence the correct option is C) 5, 5/2

Answer:c

Step-by-step explanation:

How to determine the acute angle between the line 2x+3y=6 and the y axis?

Answers

$2x+3y=6\n3y=-2x+6\ \ \ /:3\ny=-(2)/(3)x+2\n\nthe\ angle\ between\ the\ line\ and\ the\ x\ axis-\alpha\n\ntg\alpha=-(2)/(3)\approx-0.666...\to\alpha\approx124^o\n\nthe\ acute\ angle\ between\ the\ line\ and\ the\ y\ axis\ is\ 124^o-90^o=34^o$

You owe some friends $25 and pay them back $18. Which number sentence shows this situation?25 + 18
-25 + 18
-18 + 25
-25 + (-18)

Answers

If you would like to know which number sentence shows the following situation, you can find this like this:

$25 - $18 = $7

You still owe your friends $7.
The correct result would be 25 - 18 = - 18 + 25.

Answer:

-18 + 25

Step-by-step explanation:

PLEASE ANSWER REALLY EASY