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3 years ago

How many 1/2 cup servings are in the 7/8 cups of peanut butter

1 answer:

8 0

This is more or less how you write the question.
$\frac{ \frac{7}{8} } { \frac{1}{2} }$

To solve it invert the 1/2 and multiply.
$\frac{7 * 2}{8 * 1}$

Which gives you 14 /8 whis is 1 3/4 cups.

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Solve the system of equations. x+y=4 y=x^2 - 8x + 16 a) {(-3,7).(-4, 8)} b) [(4,0)} c) {(3,1),(4,0) d) {(3,7). (4.0)} e) none

Marysya12 [62]

Answer: The required solution of the given system is

(x, y) = (3, 1) and (4, 0).

Step-by-step explanation: We are given to solve the following system of equations :

$x+y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x^2-8x+16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equation (i), we have

$x+y=4\\\\\Rightarrow y=4-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of y from equation (iii) in equation (ii), we get

$y=x^2-8x+16\\\\\Rightarrow 4-x=x^2-8x+16\\\\\Rightarrow x^2-8x+16-4+x=0\\\\\Rightarrow x^2-7x+12=0\\\\\Rightarrow x^2-4x-3x+12=0\\\\\Rightarrow x(x-4)-3(x-4)=0\\\\\Rightarrow (x-3)(x-4)=0\\\\\Rightarrow x-3=0,~~~~~~~x-4=0\\\\\Rightarrow x=3,~4.$

When, x = 3, then from (iii), we get

$y=4-3=1.$

And, when x = 4, then from (iii), we get

$y=4-4=0.$

Thus, the required solution of the given system is

(x, y) = (3, 1) and (4, 0).

8 0

3 years ago

Assume that there are 2 trials.

vampirchik [111]

Answer: The p(success) = 0.6

Your question is a little unclear, but I believe you are asking about the probability that at least one of the trials in the experiment were successful.

If that is the case, you simply have to add the probability of 1 success with the probability of 2 successes.

That is 0.48 + 0.16 = 0.64

Rounding our answer to one decimal place gives us 0.6.

7 0

2 years ago

Read 2 more answers

Find the value of x

anygoal [31]

Answer:

Step-by-step explanation:

As per circle theorem rule, ∠GDE is twice than ∠GFE

10x +94 = 2 × (x+51)

10x + 94 = 2x + 102

8x = 8

x = 1

∠GDE= 10x+94° = 104°

∠GFE= x + 51° = 52°

3 0

3 years ago

Solve this riddle

navik [9.2K]

Is it multiple choice

4 0

3 years ago

C + 6 > 5c - 2<br>solved and proof

Elena L [17]

Hi there!

»»————-　★　————-««

I believe your answer is:

c < 2

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

$c+6>5c - 2\\--------------\\\\\rightarrow5c - 2< c + 6 \leftarrow \text{Notice how the sides are switched.}\\\\\rightarrow 5c - c -2 < c - c + 6\\\\\rightarrow 4c -2 < 6\\\\\rightarrow 4c - 2 + 2 < 6 + 2\\\\\rightarrow 4c < 8\\\\\rightarrow \frac{4c$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

4 0

2 years ago