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ahrayia [7]
3 years ago
13

John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs

to maintain a ratio of pumpkin to green beans of 5 to 1. If he wants to use a total of 114 cans, how many cans of green beans should he use?
Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

19

Step-by-step explanation:

The ratio of green beans (g) to pumpkin (p) is ...

... g : p = 1 : 5

Then the ratio of green beans to the total is ...

... g : (g+p) = 1 : (1+5) = 1 : 6

Since you have

... g/total = (1/6)

... g = total · 1/6

you can substitute 114 for the total to find ...

... g = 114 · 1/6 = 19

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ehidna [41]

Answer:

Step-by-step explanation:

Many ways to do this in the details.

All start by writing three equations with three unknowns

<em>-56 = a(3²) + b(3) + c</em>

-56 = 9a + 3b + c          1)

<em>-16 = a(-1²) + b(-1) + c</em>

-16 = a - b + c               2)

<em>-51  = a(-2²) + b(-2) + c </em>  

-51  = 4a - 2b + c           3)

subtract equation 2 from equation 1

-40 = 8a + 4b

--10 = 2a + b

b = -10 - 2a                 4)

subtract equation 3 from equation 1

-5 = 5a + 5b

-1 = a + b                   5)

substitute 4 into 5

-1 = a + (-10 - 2a)

-1 = - a - 10

a = - 9

substitute a into 4

b = -10 - 2(-9)

b = 8

substitute a and b into any of 1, 2, or 3

-51  = 4(-9) - 2(8) + c

-51  = -36 - 16 + c

c = 1

y = -9x² + 8x + 1

We can use a plotting calculator to confirm our result.

7 0
3 years ago
ppose we are testing a new shampoo to see if it makes hair grow faster. We knowthat the average rate of hair growth is 0.5 inche
alukav5142 [94]

Answer:

Type II error occurred

Step-by-step explanation:

It is given that a new shampoo is being tested to determine whether the hair grows faster by using this shampoo.

It is known that hair grow at 0.5 inches per month at average.

The hypothesis are,

Null hypothesis, $H_0: \mu=0.5$

Alternate hypothesis, $H_1: \mu>0.5$

But it is known that :

Type $I$ error occurs when rejecting the null hypothesis when the null hypothesis is true actually.

Type $II$ error occurs \text{when we fail reject the null hypothesis} when the null hypothesis is actually false.

Now here since the null hypothesis is not been rejected, type  $II$ error had occurred.

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3 years ago
Write and solve a real-world problem that can be represented by the expression (-3)(5)+10.
Blizzard [7]

Hi!

(-3)(5)+10

-15+10

=-5

<u>Explanation: </u><u><em>This question is about math, and this lesson is about order of operations. I will give you a hint. You had to used PEMDAS, P-Parenthesis should be go first, E-Exponents, M-Multiply, D-Divide, A-Add, and S-Subtract. If you use multiply, divide, add, or subtract it should go left to right. First, you had to multiply and divide should go left to right. And it gave us -15+10.  And finally, you should add and subtract by left to right. And it gave us -5 is correct answer. Hope this helps! Thank you for posting your question at here on Brainly. And have a great day. -Charlie</em></u>

5 0
3 years ago
Prove the identity:<br><br> cos(x-y)/cos x sin y = cot y + tan x
andrew11 [14]
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nadezda [96]

Answer:

1. 70%.

2. 45%

3.-15%

4. 20 something%?

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Step-by-step explanation:

8 0
3 years ago
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