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AleksAgata [21]

3 years ago

15

Orly uses 2 cups of raisins for every 12 cups of trail mix she makes. How many cups of trail mix will she make if she uses 8 cup

s of raisins?

1 answer:

alexgriva [62]3 years ago

5 0

Answer:

48

Step-by-step explanation:

8 divided by 2 = 4

4 times 12 = 48

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PLEASE HELP ME SOLVE THIS

klio [65]

Answer:

y = 90°

Step-by-step explanation:

The left side base angle of the triangle and the angle of 110° form a straight angle and are supplementary, thus

base angle = 180° - 110° = 70°

The right base angle is also 70° , thus the triangle is isosceles

The line segment from the vertex is a perpendicular bisector, hence

y = 90°

4 0

3 years ago

Out of a group of 120 students that were surveyed about winter sports 28 said they ski 53 said they snowboard Sixteen of the stu

hjlf

Answer:

P ( snowboard I ski) = 0.5714

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Ski

Event B: Snowboard.

28 out of 120 students ski:

This means that $P(A) = \frac{28}{120} = 0.2333$

16 out of 120 do both:

This means that $P(A \cap B) = \frac{16}{120} = 0.1333$

P ( snowboard I ski)

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1333}{0.2333} = 0.5714$

So

P ( snowboard I ski) = 0.5714

7 0

3 years ago

Read 2 more answers

Students are selling pies for a school fundraiser. Customers can buy cherry pies and apple pies. Jennifer sold 12 cherry pies an

Tpy6a [65]

Answer: A cherry pie costs 9 and an apple pie cost 12

Step-by-step explanation:

Let an apple pie be represented by a

Let an cherry pie be represented by c

Jennifer sold 12 cherry pies and 3 apple pies for a total of 144. This can be written as:

12c + 3a= 144

Jacob sold 2 cherry pies and 9 apple pies for a total for 126. This can be written as:

2c + 9a = 126

12c + 3a= 144 ............. i

2c + 9a = 126 ........... ii

Multiply equation i by 2

Multiply equation ii by 12

24c + 6a = 288 ........ iii

24c + 108a = 1512 ...... iv

Subtract iv from iii

-102a = -1224

a = 1224/102

a = 12

An apple pie costs 12

From equation i

12c + 3a= 144

12c + (3×12) = 144

12c + 36 = 144

12c = 144 - 36

12c = 108

c = 108/12

c = 9

A cherry pie costs 9

7 0

3 years ago

Complete each statement in the steps to solve x2 – 6x – 7 = 0 using the process of completing the square. Isolate the constant b

Tomtit [17]

"Isolate the constant by adding 7 to both sides of the equation."
This step separates the non-squareable 7 and the squareable $x^2 - 6x$ .

"Add 9 to both sides of $x^2 - 6x = 7$ to form a perfect square trinomial while keeping the equation balanced."
After separating the non-squareable, add the number which makes the first or left side a perfect square trinomial. The formula to find the number is: $c = {\frac{b}{2} }^{2}$ .
When we plug the values: $c = { \frac{ - 6}{2} }^{2}$
Simplify: $c = {( - 3)}^{2} = 9$

"Write the trinomial $x^2 - 6x + 9$ as $(x - 3)$ squared."
When you factor $x^2 - 6x + 9$ , you will get $(x - 3) \times (x - 3)$ .

"Use the square root property of equality to get $x - 3 = ± \sqrt{16}$ ."
The 16 is coming from the part when we add 9. We needed 9 on the left side for a perfect square, but to protect the balance of the equality, we need to add 9 to the right side too. When we add 7 and 9, we got 16, and that is where it came from.

"Isolate the variable x to get solutions of -1 and 7."
To isolate x we branched the plus-minus sign:
$x - 3 = 4 \: \: \: x = 4 + 3 = 7 \\ \\ x - 3 = - 4 \: \: \: x = - 4 + 3 = - 1$

8 0

3 years ago

Read 2 more answers

yan [13]

Yeah
And to send this I have to write 20 words and which is boaring

4 0

3 years ago

Read 2 more answers