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jenyasd209 [6]
3 years ago
8

Amanda and Jessica bought vegetables for their newly opened restaurant. Amanda bought potatoes and onions. For every 18 pounds o

f potatoes that Amanda bought, she bought 4.5 pounds of onions. Jessica bought broccoli and onions. For every 18 pounds of broccoli that Jessica bought, she bought 4 pounds of onions.
If Amanda bought 60 pounds of potatoes last week, and Amanda and Jessica bought the same amount of onions, then how many pounds of broccoli did Jessica buy last week?
Mathematics
1 answer:
Korolek [52]3 years ago
7 0
First, we determine the number of onions bought by Amanda using the given ratio above,

      O1 = (60 lbs potato)(4.5 lbs onion/18 lbs potato)
       O1 = 15 lbs onions

This should also be the same as the amount of onions bought by Jessica. With this, we can then determine the amount of broccoli bought by Jessica given the ratios.

         B = (15 lbs onions)(18 lbs broccoli/4 lbs onions)
                 B = 67.5 lbs broccoli.

Answer: 67.5 lbs broccoli
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For what values of h and k does the linear system have infinitely many solutions? 2x1 + 5x2 = −1 hx1 + kx2 = 7
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Answer:

The values of h and k for a linear system with infinitely many solutions are -2 and 5, respectively.

Step-by-step explanation:

Let 2\cdot x_{1}+5\cdot x_{2} = -1\cdot h\cdot x_{1} + k\cdot x_{2} = 7, if this linear system has infinitely many solutions, then the following conditions must be met:

-1\cdot h = 2 and k = 5.

h = -2 and k = 5

The values of h and k for a linear system with infinitely many solutions are -2 and 5, respectively.

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3 years ago
Which of the following is NOT a level of​ measurement? nominal ratio qualitative ordinal
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Nominal.

Step-by-step explanation:

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3 years ago
For about $1 billion in new space shuttle expenditures, NASA has proposed to install new heat pumps, power heads, heat exchanger
11111nata11111 [884]

Answer:

The probability of one or more catastrophes in:

(1) Two mission is 0.0166.

(2) Five mission is 0.0410.

(3) Ten mission is 0.0803.

(4) Fifty mission is 0.3419.

Step-by-step explanation:

Let <em>X</em> = number of catastrophes in the missions.

The probability of a catastrophe in a mission is, P (X) = p=\frac{1}{120}.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X </em>is:

P(X=x)={n\choose x}\frac{1}{120}^{x}(1-\frac{1}{120})^{n-x};\x=0,1,2,3...

In this case we need to compute the probability of 1 or more than 1 catastrophes in <em>n</em> missions.

Then the value of P (X ≥ 1) is:

P (X ≥ 1) = 1 - P (X < 1)

             = 1 - P (X = 0)

             =1-{n\choose 0}\frac{1}{120}^{0}(1-\frac{1}{120})^{n-0}\\=1-(1\times1\times(1-\frac{1}{120})^{n-0})\\=1-(1-\frac{1}{120})^{n-0}

(1)

Compute the compute the probability of 1 or more than 1 catastrophes in 2 missions as follows:

P(X\geq 1)=1-(1-\frac{1}{120})^{2-0}=1-0.9834=0.0166

(2)

Compute the compute the probability of 1 or more than 1 catastrophes in 5 missions as follows:

P(X\geq 1)=1-(1-\frac{1}{120})^{5-0}=1-0.9590=0.0410

(3)

Compute the compute the probability of 1 or more than 1 catastrophes in 10 missions as follows:

P(X\geq 1)=1-(1-\frac{1}{120})^{10-0}=1-0.9197=0.0803

(4)

Compute the compute the probability of 1 or more than 1 catastrophes in 50 missions as follows:

P(X\geq 1)=1-(1-\frac{1}{120})^{50-0}=1-0.6581=0.3419

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Please help, I’ve been stuck on this question for about a hour now.
Hoochie [10]
6x + 5x + (x + 16) + (3x - 1) = 360
11x + x + 16 + 3x - 1
15x + 15 = 360
15x = 345
x = 23


6(23) = 138
((23) + 16) = 39
(3(23) - 1) =68
5(23) = 115

138 + 39 + 68 + 115 = 360
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3 years ago
What is 428÷7 what need help​
DENIUS [597]

Answer:

61.1428

Step-by-step explanation:

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