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V125BC [204]
3 years ago
7

Zack uses fruits and nuts to make a trail mix . He uses 2 cups of fruit every 3 cups of nuts

Mathematics
2 answers:
dolphi86 [110]3 years ago
5 0

Answer:

So he makes 5 cups of trail mix.

Step-by-step explanation:

Aleksandr [31]3 years ago
3 0

Answer: 5 cups of trail mix

Step-by-step explanation:

2 cups+3 cups = 5 cups

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Solve the absolute value equation |2x+11|=7
Elena L [17]

Answer: hope it helps

Step-by-step explanation:

2x+11 absolute value equals 2x+11, then 2x+11=7, subtract 11 from itself, and 7 you get 2x=4 divide both sides by 2 an you get -2=x.

3 0
3 years ago
(Anderson, 1.14) Assume that P(A) = 0.4 and P(B) = 0.7. Making no further assumptions on A and B, show that P(A ∩ B) satisfies 0
Goshia [24]

Answer with Step-by-step explanation:

We are given that

P(A)=0.4 and P(B)=0.7

We know that

P(A)+P(B)+P(A\cap B)=P(A\cup B)

We know that

Maximum value of P(A\cup B)=1 and minimum value of P(A\cup B)=0

0\leq P(A\cup B )\leq 1

0\leq P(A)+P(B)-P(A\cap B)\leq 1

0\leq 0.4+0.7-P(A\cap B)\leq 1

0\leq 1.1-P(A\cap B)\leq 1

0\leq 1.1-P(A\cap B)

P(A\cap B)\leq 1.1

It is not possible that P(A\cap B) is equal to 1.1

1.1-P(A\cap B)\leq 1

-P(A\cap B)\leq 1-1.1=-0.1

Multiply by (-1) on both sides

P(A\cap B)\geq 0.1

Again, P(A\cup B)\geq P(B)

0.4+0.7-P(A\cap B)\geq 0.7

1.1-P(A\cap B)\geq 0.7

-P(A\cap B)\geq -1.1+0.7=-0.4

Multiply by (-1) on both sides

P(A\cap B)\leq 0.4

Hence, 0.1\leq P(A\cap B)\leq 0.4

3 0
3 years ago
a salesperson sells $2700 in merchandise and earns a commission of $351 what is the commission rate in percentages?
GaryK [48]

Answer:

Commision rate 13%

Explanation:

The commission rate is equal to the commission as a percent of sells.

Now in our case,

sells = $2700

commission = $351

Therefore, the commission rate is equal to

undefined

6 0
1 year ago
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
Nonamiya [84]

Answer:

x = -8/b

Step-by-step explanation:

2bx – bx = -8

Combine like terms

bx = -8

Divide by b

bx/b = -8/b

x = -8/b

5 0
3 years ago
A system of inequalities is graphed below. The variable x represents the number of cans someone is buying, and y represents the
8090 [49]
We have that
<span>We will analyze each case to verify the answer
see the attached figure

</span>Point A) 7 cans and 140 bottles------------> (x,y)=(7,140)----> is not solution
Point B) 12 cans and 40 bottles------------> (x,y)=(12,40)----> is not solution
Point C) 8 cans and 120 bottles------------> (x,y)=(8,120)----> is a solution
Point D) 9 cans and 70 bottles------------> (x,y)=(9,70)-------> is a solution

the answer is
the solutions are
<span>8 cans and 120 bottles
9 cans and 70 bottles</span>

6 0
3 years ago
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