The required number of dinosaurs that each of them gets is 39 dinosaurs.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let the number of dinosaurs be x that is distributed among Yolanda and her 3 brothers,
Total persons = 1 + 3 = 4
Total dinosaurs = 156
Each of them gets,
x = 156/4
x = 39 dinosaurs.
Thus, the required number of dinosaurs that each of them gets is 39 dinosaurs.
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Sherman goes golfing every 6^\text{th}6 th day and Brad goes golfing every 7^\text{th}7 th day. If Sherman and Brad both went golfing today, how many days until they will go golfing on the same day again? Days
Answer:
42 days.
Step-by-step explanation:
We have been given that Sherman goes golfing every 6th day and Brad goes golfing every 7th day.
To find the number of days after that both will go golfing on the same day we will find LCM of 6 and 7.
Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48,..
Multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56,...
We can see that least common multiple of 6 and 7 is 42, therefore, both will go golfing on the same day again on 42nd day.
15(x+2000)=3300 is my question on common core. I don't know how to solve this correctly.
Using the conversions given, convert 2 pounds to grams (round to the nearest whole gram).
2 pounds is equal to 908 grams (rounded to the nearest whole gram).
Started by converting 2 pounds to kilograms using the conversion factor 1 pound = 0.454 kilograms.
So, 2 pounds * 0.454 kilograms/pound = 0.908 kilograms.
Then, I converted 0.908 kilograms to grams using the conversion factor 1 kilogram = 1000 grams.
So, 0.908 kilograms * 1000 grams/kilogram = 908 grams.
Finally, I rounded 908 grams to the nearest whole gram, which is 908 grams.
Therefore, 2 pounds is equal to 908 grams (rounded to the nearest whole gram).
Question
1 pound = 0.454 kg 1 kg = 1000 g Using the conversions given, convert 2 pounds to grams (round to the nearest whole gram).
A certain star is 1.135 × 10^14 km away from Earth. If light travels at 9.4607 × 10^12 km per year, how long will it take for light from the star to reach Earth?
Answer:
Approximately 11.99 years
Step-by-step explanation:
This is just a type of problem like finding how long it will take for you to get somewhere. Like in finding how fast you need to go to go to a place that is 60 miles in one hour. All you have to do is divide the distance of the star by the speed of light, and you get the amount of time it will take for the star's light to reach the Earth.
The time taken by the light to travel from a star to Earth is required.
It would take 12 years for the light to reach Earth.
Distance of star from Earth = [tex]1.135\times 10^{14}\ \text{km}[/tex]
Speed of light from star = [tex]9.4607\times 10^{12}\ \text{km/year}[/tex]
Time is given by
[tex]t=\dfrac{\text{Distance}}{\text{Speed}}\\\Rightarrow t=\dfrac{1.135\times 10^{14}}{9.4607\times 10^{12}}\\\Rightarrow t=11.996\approx 12\ \text{years}[/tex]
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Lilly has read seven-eighths of her book and is on page 147. How many pages does lilly have left to read?
Answer:
21
Step-by-step explanation:
Since Lilly has read 7/8 of her book (aka 147 pages), divide 147 by 7 and you get 21.
This means 1/8=21
Since she has read 7/8 of the book, and the full book is 8/8, 8/8-7/8= 1/8
Meaning she has 1/8 of the book left to read.
As said before, 1/8 =21
Thus, she has 21 pages left to read.
Someone help please!
In 1996, Town M had a population of 30,500 people, and it has grown at a rate of 2% every year. In 1996, Town N had 32,500 people and the population has increased by a constant rate of 600 people each year. In what year were the populations of the two towns approximately equal?
Answer:
18 years after 1996 which is 2014
Step-by-step explanation:
Town M had a population of 30,500 people. It grows by 2%. That means the next year will be 30,500+0.02(30,500)=31,110. The next year will be 31,110+0.02(31110)=31732.2 and so forth.
Town N had 32,500 and grows by 600 each year. That means the next year will be 32,500+600=33,100. The next year will be 33,100+600=33,700 and so forth.
Year Town M Town N
1 31,110 33,100
2 31,732.2 33,700
3 32366.8 34, 300
4 33014.2 34,900
5 33674.5 35,500
6 34348 36,100
7 35035 36,700
We can see the populations are getting closer but not very fast. Let's try higher numbers.
Year 20 gives 45,321 and 44,500. We are close. Let's try year 18. We get 43,561.5 and 43,300.
m x 5 = 30
m = ?
A) 3
B) 4
C) 5
D) 6 what the answer
Answer:
M= D) 6
Step-by-step explanation:
just do 30 divided by 5=M
Answer:
D) 6 is your answer
Step-by-step explanation: You have to substitute the #'s in for m then multiply it by 5, and if it equals 30, it's your answer... But it has to be a true statement...
A) 3:
m x 5 = 30
3 x 5 = 30
15 = 30
FALSE
B) 4:
m x 5 = 30
4 x 5 = 30
20 = 30
FALSE
C) 5:
m x 5 = 30
5 x 5 = 30
25 = 30
FALSE
D) 6:
m x 5 = 30
6 x 5 = 30
30 = 30
TRUE
Bruce evaluates the expression on a math quiz, 8.8 ÷ 2.7 and gets an answer of 4.14.
Is this a reasonable answer?
A.
Since 8.8 rounds to 8 and 2.7 rounds to 3, so division rounds to 3. His answer of 4.14 rounds to 4. So, it is reasonable.
B.
Since 8.8 rounds to 9 and 2.7 rounds to 3, so division rounds to 3. His answer of 4.14 rounds to 5. So, it is reasonable.
C.
Since 8.8 rounds to 9 and 2.7 rounds to 2, so division rounds to 5. His answer of 4.14 rounds to 4. So, it is not reasonable.
D.
Since 8.8 rounds to 9 and 2.7 rounds to 3, so division rounds to 3. His answer of 4.14 rounds to 4. So, it is not reasonable.
Answer:
the answer is D
Step-by-step explanation:
As per linear equation, since 8.8 rounds to 9 and 2.7 rounds to 3, so division rounds to 3. His answer of 4.14 rounds to 4. So, it is not reasonable.
What is a linear equation?
A linear equation is an equation that contains one or multiple variable with the highest power of the variable is one.
Given expression is:
8.8 ÷ 2.7
≈ 9 ÷ 3
= 3
His answer is 4.14 ≈ 4.
Therefore, this is not a reasonable answer.
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Type the correct answer in the box. Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangular base that has an area of 21 square feet and a length that is 4 feet more than its width. If x represents the width of the doghouse, write an equation in the given form that can be used to determine the possible dimensions of the base of the doghouse.
The equation that represents the area of the doghouse base is 21 = x * (x + 4), where x is the width and x + 4 is the length.
Explanation:Jason is building a doghouse with a rectangular base, where the area is known to be 21 square feet. If the width is x feet and given the length is 4 feet longer than the width, the length can be represented as x+4. As such, we can create an equation representing the area of the rectangular base as:
Area = Width * Length
By substituting the given values, we get the equation:
21 = x * (x + 4).
This algebraic equation can guide the solution to find the possible values of x, that is, the width of the doghouse.
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To determine the possible dimensions of the base of the doghouse, use the equation x^2 + 4x - 21 = 0.
Explanation:To find the possible dimensions of the base of the doghouse, we can use the given information that the area of the base is 21 square feet and the length is 4 feet more than its width.
We can represent the width as x. So, the length would be x + 4.
The equation for the area of the rectangle is length x width.
Substituting the values, we get x(x + 4) = 21.
Simplifying the equation, we can rewrite it as x^2 + 4x - 21 = 0.
This equation can be used to determine the possible dimensions of the base of the doghouse.
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What is the domain of the following list of ordered pairs? (-3,-1) , (0,-2), (4,3),(1,5)
Answer:
the domain is X so
Step-by-step explanation:
(-3,0,4,1) is the answer
Which of the following situations describes a helpful adaptation for a mole?
Question 2 options:
A mole is blind and cannot see underground.
A mole is bright and attracts the attention of predator birds.
A mole has a sensitive sense of smell to help it find food underground.
I believe the answer is C because it is the only answer that proves helpfulness to the survival of a mole
Answer:
Which of the following situations describes a helpful adaptation for a mole?
Question 2 options:
A mole is blind and cannot see underground.
A mole is bright and attracts the attention of predator birds.
A mole has a sensitive sense of smell to help it find food underground.
Step-by-step explanation:
Despite their very poor eyes, moles can hunt worms and insects thanks to their keen sense of smell and capturing vibrations of their prey with their whiskers.
The answer is: A mole has a sensitive sense of smell to help him find food underground.
If the arc length of a sector in the unit circle is 3 radians, what is the measure of the angle of the sector?
A) 1.5 radians
B) 3 radians
C) 6 radians
D) 9 radians
Answer:
B) 3 radians
Step-by-step explanation:
The arc length is the product of the radius and angle. You have ...
... 3 radians = 1 × angle
so
... 3 radians = angle
_____
Comment on units
The formula is
... s = rθ . . . . . where s is the arc length, r is the radius, and θ is the central angle in radians.
The units of both s and r are units of length, so the units of angle are ...
... (length units)/(length units) = <no units>
That is, "radians" are fully equivalent to "no units."
The trouble with this problem statement is that it expresses "arc length" in units of "radians." This only works if the units of the radius of the unit circle are "no units". Ordinarily, that would not be the case. The length of the radius of the unit circle is usually "one length unit." If the central angle is 3 radians, then the arc length is "3 length units," not "3 radians."
A farm grew 19.8 tons of wheat in 2013. The frams's wheat output increased by 9.8% from 2013 to 2014 and by 5.1 from 2014 to 2015. Which expression represents a strategy for estimating the total output of wheat in tons, in 2015?
Answer:
Quantity of wheat in 2015 is 19.8(1.098)(1.051) tons
Step-by-step explanation:
We are given
A farm grew 19.8 tons of wheat in 2013
In 2013:
quantity of wheat =19.8 tons
In 2014:
The farms's wheat output increased by 9.8% from 2013 to 2014
So, quantity of wheat becomes
[tex]=19.8(1+0.098)[/tex]
[tex]=19.8(1.098)[/tex]
In 2015:
The farms's wheat output increased by 5.1 from 2014 to 2015
so, it is increased by 5.1 % of 2014 quantity
so, we get
quantity of wheat in 2015 is
[tex]=19.8(1.098)(1+0.051)[/tex]
[tex]=19.8(1.098)(1.051)[/tex]
You can calculate how much 9.8% of 19.8 ton is and then add that to 19.8 and add 5.1 more to know the weight of wheat in tons produced in 2015.
The total output of wheat in tons, in 2015 is 26.84 tons.
How to know the wheat amount produced in 2015?In 2014, there was increase of 9.8% wheat production than last year(2013).
Thus,
Production in 2014 = Production in 2013 + 9.8% of production in 2013
9.8% of production in 2013 = [tex]19.8 \times \dfrac{9.8}{100} = 1.9404[/tex]
Production in 2014 = 19.8 + 1.94 = 21.74
Production in 2015 = Production in 2014 + 5.1 tons= 21.74 + 5.1 = 26.84 tons
Thus, the total output of wheat in tons, in 2015 is 26.84 tons.
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Which ordered pair is a solution to the inequality?
Help please!!
Choice A is the answer which is the point (1,-1)
=========================================
How I got this answer:
Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.
-------------
checking choice A
plug in (x,y) = (1,-1)
[tex]y - 2x \le -3[/tex]
[tex]-1 - 2(1) \le -3[/tex]
[tex]-3 \le -3[/tex]
This is true because -3 is equal to itself. So this is the answer.
-------------
checking choice B
plug in (x,y) = (2,4)
[tex]y - 2x \le -3[/tex]
[tex]4 - 2(2) \le -3[/tex]
[tex]0 \le -3[/tex]
This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.
-------------
checking choice C
plug in (x,y) = (-2,3)
[tex]y - 2x \le -3[/tex]
[tex]3 - 2(-2) \le -3[/tex]
[tex]7 \le -3[/tex]
This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.
-------------
checking choice D
plug in (x,y) = (3,4)
[tex]y - 2x \le -3[/tex]
[tex]4 - 2(3) \le -3[/tex]
[tex]-2 \le -3[/tex]
This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.
A store is having a sale where school supplies are 30% off theirr original price. A backpack is on sale for 11.20. What was the original price of the backpack?
Answer:
$16
Step-by-step explanation:
x*0.7=11.20
11.20/0.7=16
If Sue rides 10 miles per hour on her bike, and this relationship is graphed, which ordered pair would not be on the graph?
(2, 20)
(5, 50)
(6, 60)
(8, 85)
Answer:
(8, 85) Would make this relationship not a function because every time you count up 1 it goes up 10 and 8 would match to 80 not 85 making 8, 85 the ordered pair would not be on the graph.
Given Sue's speed of 10 miles per hour, we're looking for an ordered pair that does not fit the relationship y = 10x. While (2,20), (5,50), and (6,60) all fit this relationship, the pair (8,85) does not, hence it won't be on the graph.
Explanation:Sue's speed on her bike is 10 miles per hour. This relationship can be graphed as a straight line in a coordinate plane because the speed remains constant - the distance covered increases uniformly over time. So, for each hour (x), she covers a distance of 10x miles (y). Therefore, we can identify the ordered pair that does not belong on the graph by determining which one does not fit the relationship y = 10x.
(2,20): y=10*2=20, so the pair (2,20) fits the relationship.(5,50): y=10*5=50, therefore the pair (5,50) fits the relationship.(6,60): y=10*6=60, hence the pair (6,60) fits the relationship.(8,85): y=10*8=80, but the given y-value is 85, therefore the ordered pair (8,85) does not fit the relationship and would not be on the graph.Learn more about Linear Relationships here:https://brainly.com/question/31693063
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It costs Raquel 5$ in tolls to drive to work and back each day, plus she uses 3 gallons of gas. It costs her a total of 15.50$ to drive to work and back each day. How much per gallon is Raquel paying for her gas?
Answer:
$3.50
Step-by-step explanation:
Let x be the cost of per gallon gas.
We have been given that it costs Raquel 5$ in tolls to drive to work and back each day, plus she uses 3 gallons of gas. It costs her a total of 15.50$ to drive to work and back each day.
We can represent this information as:
[tex]3x+5=15.50[/tex]
[tex]3x+5-5=15.50-5[/tex]
[tex]3x=10.50[/tex]
[tex]x=\frac{10.50}{3}[/tex]
[tex]x=3.50[/tex]
Therefore, Raquel is paying $3.50 for per gallon gas.
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
Write 4^x = 1024 in logarithmic form.
Answer: B
Step-by-step explanation:
4ˣ = 1024
1024 = 4ˣ
log⁴1024 = x
Find the two whole numbers that it falls between square root of 5
Answer:
Whole numbers are 1 and 2
Step-by-step explanation:
Given that a number 5 and we use the square root of 5.
We are to find two whole numbers that falls between square root of 5.
We know that whole numbers are 0,1,2.....
We know that square root of 5 is irrational approximately equal to 2.236.
Consider square root of 5.
Since square root of any number always has two solutions the solutions are
-[tex]\sqrt{5}[/tex] and [tex]\sqrt{5}[/tex]
We have to find two whole numbers lying between these values.
We see that 0, 1,2 are the whole numbers lying between these two values.
Let us select any two of them from these two.
Say 1,2
Then answer is 1,2.
Please help me!!!!!!!!:(
Answer:
24% chance
Step-by-step explanation:
First, find the total number of graduates in the table, that number is 2610, that will be your numerator.
You will look at the table for the total number of students, that is 10730, that will be the denominator.
Now divide the smaller number/numerator (2610) by the larger number/denominator (10730)
[tex]\frac{2610}{10730}[/tex] = 0.2432432...
Then, multiply by 100 to get the percentage: 24.32432...%
Now, round to the nearest percentage: 24%
Taylor and Anya are friends who live 63 miles apart. Sometimes on a Saturday, they ride toward each other's houses on their bikes and meet in between. One day they left their houses at 8 am and met at 11 am. Taylor rode at 12.5 miles per hour. How fast did Anya ride?
Answer:
Anya rode at 8.5 miles per hour.
Step-by-step explanation:
We have been given that Taylor and Anya live 63 miles apart. One day they left their houses at 8 am and met at 11 am riding toward each other. Taylor rode at 12.5 miles per hour.
We can see that Taylor and Anya met after 3 hours as 11-8=3. This means that both rode their cycles for 3 hours.
Let us find distance covered by Taylor.
[tex]\text{Distance}=\text{Speed*Time}[/tex]
[tex]\text{Distance covered by Taylor}=12.5\frac{\text{Miles}}{\text{hour}}*3\text{ hours}}[/tex]
[tex]\text{Distance covered by Taylor}=12.5*3\text{ Miles}[/tex]
[tex]\text{Distance covered by Taylor}=37.5\text{ Miles}[/tex]
Therefore, Taylor covered 37.5 miles in 3 hours.
Let us find distance covered by Anya in 3 hours by subtracting distance covered by Taylor from total distance of 63 miles.
[tex]\text{Distance covered by Anya in 3 hours}=(63-37.5)\text{ Miles}[/tex]
[tex]\text{Distance covered by Anya in 3 hours}=25.5\text{ Miles}[/tex]
Now let us find speed at which Anya rode bike.
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
[tex]\text{Speed at which Anya rode the bike}=\frac{25.5\text{ Miles}}{3\text{ Hour}}[/tex]
[tex]\text{Speed at which Anya rode the bike}=8.5\frac{\text{ Miles}}{\text{ Hour}}[/tex]
Therefore, Anya rode the bike at the speed of 8.5 miles per hour.
A person ate 2400 calories in a day. Of these, 36% came from fat. How many calories came from fat?
Answer:
864 calories came from fat. What I did was just subtract 2400 from 36% and got it.
Step-by-step explanation:
The calories that come out from fat will be 864 calories.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
A person ate 2400 calories in a day. Of these, 36% came from fat.
36% of 2400 = (36/100)2400
⇒ 864 calories.
Hence "The calories that come out from fat will be 864 calories".
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If peter can type 80 words in 2 minutes how many words can he type in 5 minutes if he continues to type at the same rate. Show all work
Answer:
200 words are peter can be type in 5 minutes.
Step-by-step explanation:
As given
If peter can type 80 words in 2 minutes .
i.e
80 words = 2 minutes
Now words type in 1 minutes.
[tex]1\ minutes = \frac{80}{2}\ words[/tex]
1 minutes = 40 words
Now calculate number of words are type in 5 minutes.
Words are type in 5 minutes = Number of minutes × Number of words are type in 1 minutes.
Number of minutes = 5 minutes
Number of words are type in 1 minutes = 40 words
Words are type in 5 minutes = 5 × 40
= 200 words
Therefore 200 words are peter can be type in 5 minutes.
Please help me out :)
Answer:
[tex]\frac{1}{2}[/tex], [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Each term in the sequence is half of the previous term, thus multiply the previous term by 1/2 to obtain the next term in the sequence
1 × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]
simplify
12+4x+8
(25)×y×(1/25)
18+7x+4
Answer:
a) 4x + 20
b) y
c) 7x + 22
Step-by-step explanation:
Assuming these were originally 3 questions? Simply pack together the numbers and the numbers with letters.
Answer: 144x2y+11x+16
that is the correct answer. 144x2y+11x+16
PLEASE HELP!! WILL GIVE BRAINIEST!!
This is about average gas prices from 2005-2015
2005 - $2.27
2006 - $2.57
2007 - $2.80
2008 - $3.25
2009 - $2.35
2010 - $2.78
2011 - $3.52
2012 - $3.62
2013 - $3.51
2014 - $3.36
2015 - $2.43
c. What equation models the data? What are the domain and range of
the equation? Do you think your equation is a good fit for the data?
Explain how you determined your answers.
Answer:y =0.07272727273 x + 2.587272727
Step-by-step explanation:
Equation of regression line is: y=ax +b
Where, [tex]b=\frac{\sum y\sum x^2-\sum x\sum xy}{n\sum x^2-(\sum x)^2}[/tex]
[tex]a=\frac{n(\sum xy)-\sum x\sum y}{n(\sum x^2)-(\sumx)^2}[/tex]
Here [tex]n =11,\sum y=32.46,\sum x^2=385,\sum x=55,\sum xy=170.3,(\sum x)^2=3025[/tex]
On substituting the values in the formula above for a and b we get:
[tex]b=\frac{32.46\cdot 385-55\cdot 170.3}{11(385)-3025}[/tex]
On simplification we get: [tex]b=2.587[/tex]
[tex]a=\frac{11(170.3)-55\cdot 32.46}{11(385)-3025}[/tex]
On simplification we get: [tex]a=0.0727[/tex]
Rhombus ABCD. Finf x
Answer:
4
Step-by-step explanation:
due to the fact that this shape is a rhombus the point of intersection between two diagonals is perpendicular to each other.
Then notice that the sections are right triangles and x is the hypotenuse
using Pythagorean theorem
A*2+B*2=C*2
3*2+5*2=x*2
9+25=x*2
34=x*2
x=√34
Which set of measurements could be the side lengths of a triangle?
a- 2 cm, 8 cm, 12 cm
b- 13 cm, 7 cm, 4 cm
c- 9 cm, 4 cm, 4 cm
d- 7 cm, 10 cm, 8 cm
Answer:
c is the correct answer i believe
Step-by-step explanation:
Because a triangle must have two equal sides
Final answer:
The sets of measurements that could be the side lengths of a triangle are c (9 cm, 4 cm, 4 cm) and d (7 cm, 10 cm, 8 cm), as they both satisfy the Triangle Inequality Theorem.
Explanation:
The question asks which set of measurements could be the side lengths of a triangle. To determine if three lengths can form a triangle, we can use the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. Let's analyze each option:
a- 2 cm, 8 cm, 12 cm: 2 + 8 is not greater than 12, so this set cannot form a triangle.b- 13 cm, 7 cm, 4 cm: 13 is not less than the sum of 7 + 4, so this set cannot form a triangle.c- 9 cm, 4 cm, 4 cm: 9 is less than the sum of 4 + 4, so this set can form a triangle.d- 7 cm, 10 cm, 8 cm: Each side is less than the sum of the other two, so this set can also form a triangle.Therefore, options c (9 cm, 4 cm, 4 cm) and d (7 cm, 10 cm, 8 cm) could be the side lengths of a triangle.
Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg lesss strawberries in the morning tha in the afternnoon. If sheldon picks 2 1/4 in the morning, how many kilograms of strawberries does he pick in the afternoon?
Answer:
[tex]3\frac{13}{20}=3.65[/tex] kg.
Step-by-step explanation:
Let S be amount of strawberries picked in the afternoon.
We have been given that Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg less strawberries in the morning than in the afternoon and the strawberries picked in morning are [tex]2\frac{1}{4}[/tex] kg.
To find the amount of strawberries picked by Sheldon in the afternoon we will add [tex]2\frac{1}{4}[/tex] and [tex]1\frac{2}{5}[/tex] :
[tex]S= 2\frac{1}{4}+1\frac{2}{5}[/tex]
Upon converting our given mixed fractions into improper fraction we will get,
[tex]S= \frac{9}{4}+\frac{7}{5}[/tex]
Now let us have a common denominator.
[tex]S=\frac{9*5}{4*5}+\frac{7*4}{5*4}[/tex]
[tex]S=\frac{45}{20}+\frac{28}{20}[/tex]
[tex]S=\frac{45+28}{20}[/tex]
[tex]S=\frac{73}{20}[/tex]
[tex]S=3\frac{13}{20}[/tex]
[tex]S=3.65[/tex]
Therefore, Sheldon picked [tex]3\frac{13}{20}=3.65[/tex] kg of strawberries in the afternoon.
Sheldon picks approximately 0.85 kg of strawberries in the afternoon.
Explanation:To find out how many kilograms of strawberries Sheldon picks in the afternoon, we need to subtract 1 2/5 kg from the total he picks in the morning.
Given that Sheldon picks 2 1/4 kg of strawberries in the morning, we can subtract 1 2/5 kg from it:
2 1/4 kg - 1 2/5 kg = 9/4 kg - 7/5 kg = 45/20 kg - 28/20 kg = 17/20 kg.
Therefore, Sheldon picks 17/20 kg or approximately 0.85 kg of strawberries in the afternoon.