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Lapatulllka [165]
4 years ago
13

1. The ratio of the length to the width of a rectangle is 7 to 2. If the perimeter of the rectangle is 54 inches, what are the m

easures of the length and width of the rectangle?
2. A grocer purchased a 100-pound mixture of the nuts for $515. The mixture contains 70 pounds of peanuts that cost $3.50 per pound. The remaining nuts in the mixture are almonds. What is the cost per pound of the almonds in the mixture?
Mathematics
1 answer:
Alinara [238K]4 years ago
3 0
7x+2y=54

70 + 30 = 100
515 = x +3.5(70)

Idk if that helps

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Vinvika [58]

Answer:

A) $ \frac{1}{5} $

B) - 5

C) Not Possible

D) 5

E) $ \frac{-1}{5} $

  • Step-by-step explanation:
  • All integers are rational numbers. But not all rational numbers are integers.
  • All whole numbers are integers. But not all integers are whole numbers.

I am a rational number but not an integer. Located on the right of 0.

This means that it should be a positive number. Since, it is a rational number but not an integer, it should be of the form $ \frac{p}{q} $.

From, the options $ \frac{1}{5} $ would fit this description.

I am a rational number and an integer but not a whole number.

This means that it should be a negative integer. Since, all positive integers and zero would be whole numbers. From the options, the answer would be -5.

I am a whole number but not an integer.

This is clearly not possible because all whole numbers are a subset of integers.

I am a rational number, a whole number and an integer.

This means it is a positive integer. 5 would fit this description.

I am a rational number but not an integer; located on the left side of 0.

This means it is a negative number. $ -\frac{1}{5} $ should be the answer.

3 0
3 years ago
A human gene carries a certain disease from the mother to the child with a probability rate of 34%. That is, there is a 34% chan
fenix001 [56]

Answer:

The probability that at least one of the children get the disease from their mother is 0.7125.

Step-by-step explanation:

We are given that a human gene carries a certain disease from the mother to the child with a probability rate of 34%.

Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another.

Let Probability that children get the disease from their mother = P(A) = 0.34

SO, Complement of the event "At least one of the children get the disease from their mother"= P(A') = 1 - P(A)

where A' = event that children do not get the disease from mother.

So, P(A') = 1 - P(A) = 1 - 0.34 = 0.66

Now, probability that at least one of the children get the disease from their mother = 1 - Probability that none of the three children get disease from their mother

                     = 1 - P(X = 0)

                     = 1 - (0.66 \times 0.66 \times 0.66)

                     = 1 - 0.2875 = <u>0.7125</u>

7 0
3 years ago
Combine the like terms to create an equivalent expression.<br> 9y+y
dalvyx [7]

Answer: 10y

Step-by-step explanation: All variables equal one unless assigned a specific answer. So It is basically 9y+1

9y+1=10y

Final Answer: 10y

Hope this helps! :D

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(4)^36

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9×3

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