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snow_lady [41]
2 years ago
14

Ramil collected honey from 9 different beehives and recorded the amount collected, in gallons, from each hive in the line plot s

hown:
(Photo attatchment shown below, PLEASE VIEW OR NONE OF THIS WILL MAKE SENSE)

She wants to write the value of each point marked on the number line above (Points A–D) in terms of the largest possible whole number of gallons, quarts, and pints. Use the line plot above to fill in the blanks with the correct conversions. (The first one is done for you.)

__0__ gal __3_ qt ___0__pt

0 gal ____qt __26__ pt

0 gal ______ qt _______pt

_______ gal ______ qt _______pt
Find the total amount of honey collected from the five hives that produced the most honey.








Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?












Jill used 35 of a jar of honey for baking. How much honey did she use baking?











Jill’s mom used 14 of a gallon of honey to bake 3 loaves of bread. If she used an equal amount of honey in each loaf, how much honey did she use for 1 loaf?




Jill’s mom stored some of the honey in a container that held 34 of a gallon. She used half of this amount to sweeten tea. How much honey, in cups, was used in the tea? Write an equation, and dra a tape diagram.




Jill uses some of her honey to make lotion. If each bottle of lotion requires 14 gallon, and she uses a total of 3 gallons, how many bottles of lotion does she make?

Mathematics
2 answers:
inna [77]2 years ago
7 0
1,4,3,5,2,3,6,2,7,9,5,7,5,8
avanturin [10]2 years ago
5 0
Ramil collected honey from 9 different beehives and recorded the amount collected, in gallons, from each hive in the line plot shown:

(Photo attatchment shown below, PLEASE VIEW OR NONE OF THIS WILL MAKE SENSE)

She wants to write the value of each point marked on the number line above (Points A–D) in terms of the largest possible whole number of gallons, quarts, and pints. Use the line plot above to fill in the blanks with the correct conversions. (The first one is done for you.)

__0__ gal __3_ qt ___0__pt

0 gal ____qt __26__ pt

0 gal ______ qt _______pt

_______ gal ______ qt _______pt
Find the total amount of honey collected from the five hives that produced the most honey.








Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?












Jill used 35 of a jar of honey for baking. How much honey did she use baking?











Jill’s mom used 14 of a gallon of honey to bake 3 loaves of bread. If she used an equal amount of honey in each loaf, how much honey did she use for 1 loaf?




Jill’s mom stored some of the honey in a container that held 34 of a gallon. She used half of this amount to sweeten tea. How much honey, in cups, was used in the tea? Write an equation, and dra a tape diagram.




Jill uses some of her honey to make lotion. If each bottle of lotion requires 14 gallon, and she uses a total of 3 gallons, how many bottles of lotion does she make?
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Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.
laila [671]

Answer:

The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is  (-∞,2] ∪ [8,∞)

Step-by-step explanation:

When solving absolute value inequalities, there are two cases to consider.

Case 1: The expression within the absolute value symbols is positive.

Case 2: The expression within the absolute value symbols is negative.

The solution is the intersection of the solutions of these two cases.

In other words, for any real numbers a and b,

  • if |a|> b then a>b or a<-b
  • if |a|< b then a<b or a>-b

So, being |3x-9|≤15

Solving: 3x-9 ≤ 15

3x ≤15 + 9

3x ≤24

x ≤24÷3

x≤8

or 3x-9 ≥ -15

3x ≥-15 +9

3x ≥-6

x ≥ (-6)÷3

x ≥ -2

The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]

So, being |2x-3|≥5

Solving: 2x-3 ≥ 5

2x ≥ 5 + 3

2x ≥8

x ≥8÷2

x≥8

or 2x-3 ≤ -5

2x ≤-5 +3

2x ≤-2

x ≤ (-2)÷2

x ≤ -2

Expressing the solution as an interval: (-∞,2] ∪ [8,∞)

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3 years ago
Not sure how to do #69, it's a calc 1 question
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Let A( t , f( t ) ) be the point(s) at which the graph of the function has a horizontal tangent => f ' ( t ) = 0.

But, f ' ( x ) = [ ( x^2 ) ' * ( x - 1 ) - ( x^2 ) * ( x - 1 )' ] / ( x - 1 )^2 =>
f ' ( x ) = [ 2x( x - 1 ) - ( x^2 ) * 1 ] / ( x - 1 )^2 => f ' ( x ) = ( x^2 - 2x ) / ( x - 1 )^2;

f ' ( t ) = 0 <=> t^2 - 2t = 0 <=> t * ( t - 2 ) = 0 <=> t = 0 or t = 2 => f ( 0 ) = 0; f ( 2 ) = 4 => A 1 ( 0 , 0 ) and A 2 ( 2 , 4 ).
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Step-by-step explanation:

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