Answer:
3/8 + 1/4 < 1
Check: Find common denominators, what you do to the denominator, you do to the numerator. Multiply 2 to both the top and bottom of the fraction:
(1/4)(2/2) = 2/8
3/8 + 2/8 < 1
5/8 < 1
5/8 < 8/8 (True).
Any fraction works in the second one, for regardless, you will get less than a whole number, so solve the third one first.
The 2 fractions needed will have to be greater than 1. 1/4 has already been used, so find two pairs of fractions that will, when added, be greater than 1.
(7/8 + 3/4)
Find common denominators, what you do to the denominator, you must do to the numerator:
(7/8)(2/2) + (3/4)(4/4) = (14/16) + (12/16) = 26/16
26/16 > 1 (True).
Finally, the last one will be 2/3.
2/3 - 1/8 < 1
Find common denominators, what you do to the denominator, you must do to the numerator:
(2/3)(8/8) - (1/8)(3/3) < 1
16/24 - 3/24 < 1
13/24 < 1 (True).
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Question asked:Jacob and Sarah are saving money to go on a trip. They need at least $1975 in order to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog. The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow. Sarah will walk at least 50 dogs.Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked.
My answer:
They need at least $1975. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog.
25x + 15y ≥ 1975
The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow.
y ≤ 4x
Sarah will walk at least 50 dogs.
y ≥ 50
Use c^2=a^2+b^2
26^2= 13^2 + b^2
676=169 + b^2 (subtract 169 from both sides)
507= b^2 (take the square root of each side)
22.52 in. =b
Answer:
The probability is 0.057797
Step-by-step explanation:
Consider the provided information.
It is given that true percentage of voters who vote for the proposition is 63%,
Let p is probability of success.
According to the binomial distribution:
Substitute n=7, p=0.63 and x=2 in the above formula.
Hence, the probability is 0.057797
Hey there!
Let's look at the squares of all of our answer options. We will compare them to eighty two to see which it belongs in.
A. 36 and 49.
B. 49 and 64.
C. 64 and 81.
D. 81 and 100
As you can see, 82 is in between 81 and 100, so the answer is D. 9 and 10.
Also, the square root of 82 is about 9.05, and this fits our answer.
Have a wonderful day!
