MATHEMATICS HIGH SCHOOL

Mr. Willett was taking 3 students on a hiking excursion. He had 2 2⁄3 pounds of trail mix to split between the students. How many pounds trail mix did each student get?

Answers

Answer 1
Answer:

Answer:

4/3 each student

Step-by-step explanation:

2+(2)/(3)=(8)/(3)

if there are 3 students, we should split the total amount of trail mix by 3

(8)/(3)÷3=8/6= 4/3 each student

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A set of equations is given below:Equation E: a = 5b + 1
Equation F: a = 3b + 4

Which statement describes a step that can be used to find the solution to the set of equations?

Equation F can be written as 5b + 1 = 3b + 4.
Equation F can be written as b + 1 = 3b + 4.
Equation F can be written as a = 3(a − 1) + 4.
Equation F can be written as a = 5(a − 4) + 1.

Answers

Answer:

Equation F can be written as 5b + 1 = 3b + 4

Step-by-step explanation:

A set of equations is given below:

Equation E: a = 5b + 1

Equation F: a = 3b + 4

In substitution method we solve the equation for a variable and substitute it in other equation

Given a= 5b +1

Also equation F : a= 3b+4

both equation have 'a' on the left hand side

So we substitute 5b+1 for 'a' in second equation

Substitute 5b+1 in the place of 'a' in Equation F

Equation F can be written as 5b + 1 = 3b + 4
the answer is A because they are equal to eachother

How many eighths are there in six and three quarters

Answers

that questions has to do with equivalent fractions, express a fraction in eights.
six and three quarters
= 6 3/4
= 6 + 3/4
= 24/4 + 3/4
= 27/4
and to convert that fraction to eights, just multiply numerator and denominator by 2:
= (27*2)/(4*2)
= 54/8
there are 54 eights in six and three quarters

Find the 50th term sequence 5 , -2 , -9 , -16

Answers

Firstly, it is an arithmetic sequence.
d=-7 a1=5 
a50 = 5-7*(50-1) 
a50=-338

The area of a circle that's 64 pi square inches long. What's the radius ?

Answers

the area of anything cannot be any amount of square inches 'long'
long is 1 dimentional while area is 2 dimentional


anyway
area=(pi)radius^2
64pi=area
therfor
64pi=(pi)radius^2
divide both sides by pi
64=radius^2
sqrt both sides
8=radius
8 inches
A=pi*r^2  sqrt64=8 in radius

The measure of each angle of a triangle is a multiple of 30°. What is the probability that the triangle has at least two congruent angles?

Answers

Well, the triangle could have a few possibilities to get the angles. They are:
30-30-120
30-60-90
30-90-60
30-120-30
60-30-90
60-60-60
60-90-30
90-30-60
90-60-30
Thus, there are 9 possible cases. Out of them 3 are good, so the probability is 1/3, or 33%.

Answer:

33%

Step-by-step explanation:

Please help! Hi, I'm stuck on a part of this question, we have to solve using Gauss Jordan Elimination: A corporation wants to lease a fleet of 12 airplanes with a combined carrying capacity of 220 passengers. The three available types of planes carry 10,15,20 passengers. How many of each type of plane should be leased?

Answers

Do common sense has anything to do with this question? Because 
corporation might forget the arbitrary 12 airplane rule 
and have 11 times 20 = 220. 
But perhaps they get a discount if all 12 hangars are used! 

Playing by the rules of the question:- 
Let a, b, c be the aeroplanes that carry 
10, 15, and 20 passengers, respectively, 

a + b + c = 12 
10a +15b +20c = 220 

We may rearrange these as 
4a + 4b + 4c = 48 
2a + 3b + 4c = 44 
Now subtract 
2a + b = 4 

There appear to be 3 options 
a = 0, b = 4 which means 220 = 0*10 + 4*15 + 8*20 
a = 1, b = 2 which means 220 = 1*10 + 2*15 + 9*20 
a = 2, b = 0 which means 220 = 2*10 + 0*15 + 7*20 

If you dismiss the ones with zeros it may be that 
the expected answer to "How many of each plane" is 

One that carries 10, 2 that carries 15, and 9 that carries 20 
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