Answer:
the student in question bought 3 large notebooks and 3 small notebooks
Step-by-step explanation:
the easiest way to explain how to do this is by recognizing that the student bought $54 worth of notebooks- which is not divisible by 10 easily. that means, we should subtract 8 from 54 until we get a number that IS divisible
54 - 8 = 46 (one small notebook)
46 - 8 = 38 (two small notebooks)
3 8 - 8 = 30 (three small notebooks)
then, divide 30 by 10 to see how many large notebook the student bought.
30/10 = 3
the student in question bought 3 large notebooks and 3 small notebooks
Answer:
6(3+2)
Step-by-step explanation:
Distributive property:
ab + ac = a(b+c)
where a = greatest common factor (GCF)
GCF of each factor
18 = 2×3×3
12 = 2×2×3
GCF of 18 and 12 = 2×3
= 6
Therefore,
18 + 12 = 6(3) + 6(2)
= 6(3+2)
Where,
6 = a
3 = b
2 = c
ab + ac = a(b+c)
Answer:
(1, -3/2)
Step-by-step explanation:
The x coordinate is the same for both endpoints so the x coordinate for the midpoint is 1
The y coordinate for the midpoint is found by adding the two y coordinates and dividing by 2
(2+-5)/2 = -3/2
The midpoint is
(1, -3/2)
Last year- 8 lbs 3 ounces
Add 2 lbs and 4 ounces
Which is 10 lbs 7 ounces
10 lbs in onces is 160 ounces
Then you add the other 7 ounces so the final answer is 167 ounces
Tyson’s puppy weighs 167 ounces!
Good luck please mark me as braniliest!!!!!!
The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
Learn more about TRIANGLE here brainly.com/question/2217700
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