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Ira Lisetskai [31]
3 years ago
13

PLEASE HELP ASAPwhich equation could be used to find the length of the hypotenuse?​

Mathematics
1 answer:
Andreyy893 years ago
4 0

Answer:

It would be the first one

Step-by-step explanation:

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A store is selling two mixtures of nuts in 20-ounce bags. The first mixture has 15 ounces of peanuts combined with five ounces o
Mnenie [13.5K]
Given that a <span>store is selling two mixtures of nuts in 20-ounce bags: peanuts and cashews.

Let the cost of one ounce of peanut be x and the cost of one ounce of cashew be y, then

Given that </span>t<span>he first mixture has 15 ounces of peanuts combined with five ounces of cashews, and costs $4.25 implies that 15x + 5y = 4.25

Also, given that </span>t<span>he second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.75 mplies that 5x + 15y = 6.75

To obtain the cost of </span><span>one ounce of peanuts and one ounce of cashews, we solve the two equations above, simultaneously:
15x + 5y = 4.25 - - - (1) \\ 5x + 15y = 6.75 - - - (2) \\  \\ (1)\times3\Rightarrow45x+15y=12.75 - - - (3) \\  \\ (2)-(3)\Rightarrow-40x=-6 \\  \\ \bold{x= \frac{-6}{-40} =0.15} \\  \\ From\ (1):15(0.15)+5y=4.25 \\  \\ 5y=4.25-2.25=2 \\  \\ \bold{y= \frac{2}{5} =0.4}

Therefore, </span><span>one ounce of peanuts and one ounce of cashews cost $0.15 and $0.40 respectively.</span>
4 0
2 years ago
A humanities professor assigns letter grades on a test according to the following scheme. A: Top 6% of scores B: Scores below th
uysha [10]

Answer:

Limits for B scores

( 79,2 ; 92 )

Step-by-step explanation:

The interval we are looking for is between 6 % and 59%

p₁  = 6 %     p₁ = 0,06

As this point is at the right tail of the bell we better look for

p = 1- 0,06     p = 0,94

In z-table z score for 0,94062  is:    z₁ = 1,56      ( 0,94062 ≈ 0,94 )

Doing the same to find z₂ score for 59%  or 0,59

In z-table again

p =  0,59      

z₂ = 0,023

Now we know

1,56 * σ  = x₁ - 79

1,56*8,4 + 79 = x₁

x₁  =  92,10        or  x₁ = 92

And

0,023*8,4 + 79  = x₂

x₂ = 79,19         or    x₂ = 79,2

                 

4 0
2 years ago
Write a rule to describe each transformation
ludmilkaskok [199]
The rule to describe this transformation is reflection
7 0
3 years ago
If f(x) = x2 + 1 and g(x) = x -4, which value is equivalent to (f•g)(10)?
Phantasy [73]

Answer:

<h2>(f•g)(10) = 37</h2><h2 />

Step-by-step explanation:

(f•g)(x) = (x - 4)² + 1

then

(f•g)(10) = (10 - 4)² + 1 = 6² + 1 = 37

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3 years ago
Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work.
Tju [1.3M]
G(x)=9
f(g(x))= 9(2)+9+2=29
5 0
2 years ago
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