Given :
For the school's sports day, a group of students prepared 12 1/2 litres of lemonade. At the end of the day they had 2 5/8 litres left over.
To Find :
How many litres of lemonade were sold.
Solution :
Initial amount of lemonade, I = 12 1/2 = 25/2 litres.
Final amount of lemonade, F = 2 5/8 = 21/8 litres.
Amount of lemonade sold, A = I - F
A = 25/2 - 21/8 litres
A = 9.875 litres
Therefore, 9.875 litres of lemonade were sold.
Hence, this is the required solution.
A prime number is an integer greater than 1 with exactly two different positive factors, 1 and the number itself. There are three children in a family. Each of their ages is a prime number. The sum of their ages is 41 and at least two of the children have ages that differ by 16. Determine all possibilities for the ages of the children.
Answer:
Hence,
a=19,b=19,c=3
a=11,b=7,c=23
Step-by-step explanation:
[tex]Let\ their\ ages\ be\ a,b\ and\ c\ respectively, where\ a,b,c\ are\ primes\\Hence,\\a+b+c=41\\b-c=16\\Listing\ out\ all\ the\ primes\ from\ 0\ to\ 41\ we\ get:\\2,3,5,7,11,13,17,19,23,29,31,37,\\Hence,\\Lets\ seperate\ out\ the\ primes\ who\ differ\ by\ 16 :\\3\ and\ 19, 7\ and\ 23\ ,[/tex]
Hence,
[tex]Lets\ consider\ this\ set\ as\ b,c:\\Hence,\\To\ find\ a \\a=41-(b+c)\\Hence, By\ doing\ this\ indiviually\ we\ get:\\[/tex]
[tex]a=41-(19+3)\\a=41-22\\a=19\\Hence, a=19,b=19,c=3[/tex]
[tex]a=41-(23+7)\\a=41-30\\a=11\\Hence, a=11,b=7,c=23[/tex]
30 points!!
Find the missing term to make each statement true
1. 18e + __ = 12e
2. __ - (-21x) = 21x
3. 90z + __ = 80z
Answer:
1. 18e + (-6e) = 12e
2. 0x - (-21x) = 21x
3. 90z + (-10z) = 80z
1. 18e + (-6e) = 12e
2. 0x - (-21x) = 21x
3. 90z + (-10z) = 80z
Please help me, but the answer choices are
A) 4/3 (11) pi
B) V=2/3 (11) pi
C) V=4/3 (11)
D) V=2/3 (11)
Answer:
B
Step-by-step explanation:
answer is B
and what is ypur grades
Please help 100 points!!! :)
Who ever answers right first get's brainliest!!! :)
Answer:
1/7
Step-by-step explanation:
What are the angle names given in the picture?
Plzzzz anyone answer I post question but no one answers them but plz anyone answer this time it’s a project and it’s due date is today plz helppp
Answer:
tbh there are quite a lot of possibilities
I'll just name the properties but not show which angle applies to it cos that's too time consuming
Step-by-step explanation:
vertically opposite angles
interior / exterior alternate angles
corresponding angles
angles on a straight line are supplementary
Mr. Gomez needs to rent a moving truck. Company "A" charges $75 plus a $50 a day and Company "B" charges $105 plus $35 a day. Write an equation that can tell after how many days would the price be the same.
Answer: 75+50x= 105+35x , required equation.
Step-by-step explanation:
Let x = Number of days
Given: Company "A" charges $75 plus a $50 a day.
Total charge = 75+50x
Company "B" charges $105 plus $35 a day.
Total charge = 105+35x
When both are same , equation becomes
75+50x= 105+35x
So, Required equation: 75+50x= 105+35x
What does m represent in the equation y= mx + b?
none of these
the slope of the graph of
y = mx + b
the y-intercept of the
graph of y = mx + b
the run in the ratio
rise
run
[tex]y=mx+b[/tex]
where m is slope
and b is y-intercept
Find the area of the circle.
Answer:
Pie*radius*2 you did not give me the radius
Step-by-step explanation:
evaluate 68 x 71 mentally.
Answer:
4828 = 68 x 71
Step-by-step explanation:
how I looking at it all I did was multiply
Answer:
4828
Step-by-step explanation:
68x71=4828
Wich of the following lines is parellel to x=8
16) tan Ø
7C
6
Y
3
A)
B) -2
3
C)
داد
D)1
2
Answer:
:O
Step-by-step explanation:
NEED HELP ASAP!!!! please! 25 points!
Answer: 2-4= -2
Step-by-step explanation: hope it helps
Answer: (0 + 2) + ( 2 - 4)
Step-by-step explanation:
A submarine is at a depth of 100 feet below sea level. Then it starts to dive at a rate of 50 feet per minute. What is the slope? I will give brainliest and help you ☻
Answer:
Independent variable: Time in minutes
Dependent variable: The elevation in feet
Slope: -50
Y-Intercept: -100
Step-by-step explanation:
Just did the assignment
What is the equation of a line, in general form, that passes through the point (1, -2) and has a slope of 1/3.
Answer:
weed
Step-by-step explanation:
cause yes, cause I said so :)
Plsss help mee :,) ill give brainlist
Answer:
3/5, 1, 8/5, 8
Step-by-step explanation:
Answer:
0, 35, 8/5, 8. I think
Step-by-step explanation:
hope this helps :3
im sorry if im wrong
pls help me in this
[tex]A=\frac{3\sqrt{3}}{2}(8)^2=\boxed{96\sqrt{3} \text{ cm}^2}[/tex]
This week, 957 people went to the beach. Last week, 1,207 people went to the beach. The number of people who went to the beach fell by what percent? Use pencil and paper. Explain how you know whether the answer is greater than or less than 25%
Answer:
Less than 25%
Step-by-step explanation:
1. Find the difference of the two numbers: 1,207 - 957 = 250
decrease = original number - new number
2. Then, divide the decrease by the original number
250/1,207 = 0.207
3. Multiply the answer by 100 to get the percentage
0.207 x 100 = 20.7%
Therefore, the number of people fell by 20.7%
Hence, the answer is less than 25%
Step-by-step explanation:
6x + 21y = 103
-6x + 23y = 51
PLZZZZ HELPPPP THIS IS A TIMED TESTTT!!
DEFG has been dilated to D’E’F’G’. Use a pair of corresponding sides to determine the scale factor.
Answer:
2/3
Step-by-step explanation:
DEFG ~ D'E'F'G'
[tex]\frac{D'G'}{DG}[/tex] = [tex]\frac{2}{3}[/tex]
Use inverse operations to solve: x + 3.2 = 7
Answer:
x=3.8
Step-by-step explanation:
You would use the inverse operation by subtracting 3.2 from both sides of the equation, leaving you with x=3.8
Why would the law of cosines be used to solve for b in the triangle below? SAS is given, and the unknown measure, b, is a side length. SSA is given, and the unknown measure, b, is a side length O 36° O 3.5 7 SSS is given, and the unknown measure, b, is an angle measure. ASA is given, and the unknown measure, b, is an angle measure. DONE b
Answer:
it's a
Step-by-step explanation:
its a on edge
Answer: A
Step-by-step explanation:
Struggling with this problem need help badly
Answer:
Step-by-step explanation:
Please help me with this question
Answer:
Step-by-step explanation:
(a). SR = 15√2 km ≈ 21.2 km
R is 21.2 km due South-East of S
(b). RQ² = 35² + 15² ⇒ RQ = 5√14 km ≈ 38.1 km
R is 38.1 km due South-West of Q
HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)
Answer:
A
Step-by-step explanation:
A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 units. Do you agree? Why or why not?
A.S.A.P. I HAVE TO TURN THIS IN AT 10:30 HURRY PLEASE :)
Given:
A student says that the graph of the equation [tex]y = 3(x + 8)[/tex] is the same as the graph of [tex]y = 3x[/tex], only translated upwards by 8 units.
To find:
Whether the student is correct or not.
Solution:
Initial equation is
[tex]y=3x[/tex]
[tex]f(x)=3x[/tex]
Equation of after transformation is
[tex]y=3(x+8)[/tex]
[tex]g(x)=3(x+8)[/tex]
Now,
[tex]g(x)=f(x+8)[/tex] ...(i)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] ...(ii)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (i) and (ii), we get
[tex]a=8\text{ and }b=0[/tex]
Therefore, the graph of [tex]y=3x[/tex] translated left by 8 units. Hence, the student is wrong.
The sum of two numbers is 100, The difference between the two numbers is 95
workout the two numbers
Answer:
Let the numbers be x and y
x+y=100
x-y=95
taking x-y=95
x=95+y
x+y=100
95 + y +y = 100
2y=100-95
y=5/2
y=2.5
x=95+y
x=95+2.5
x= 97.5
Hope it helps...............
The two numbers are 97.5 and 2.5.
What is Addition and Subtraction?Subtraction is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
Let x and y be the two numbers.
The sum is 100 and the difference is 95.
x + y = 100 ⇒ x = 100 - y
x - y = 95
Substituting x = 100 - y in the second equation,
100 - y - y = 95
100 - 2y = 95
2y = 100 - 95
2y = 5
y = 5/2 = 2.5
x = 100 - y = 100 - 2.5 = 97.5
Hence the numbers are 97.5 and 2.5.
Learn more about Addition and Subtraction here :
https://brainly.com/question/29464370
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HELP ASAPPP!!! !!!! PLEASE
Answer:
B.
Step-by-step explanation:
for decimals, you start with tenths, so it would be thousandths
Round -5 1/2 to the nearest whole number
Answer:
dear explain your question briefly
Step-by-step explanation:
We will try to explain you
The round off -5 1/2 to whole number is -6.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Fraction: -5 1/2
Now, converting it to the decimal
= -11/2
= -5.5
now, rounding off to whole -5.5 will lie between -5 and -6.
Hence, the whole number round off for - 1/2 is -6.
Learn more about Fraction here:
https://brainly.com/question/10354322
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The table below lists the scores for a game of cards in which the highest score wins. Players A, B, C, and D recorded their scores for each round, but they did not total the scores until the end of the game.
Rounds: 1 2 3 4 5 6 7 8
A 130 64 0 -14 -78 158 -68 50
B 72 97 13 -7 120 57 80 -37
C -26 45 109 -9 67 -56 105 0
D -47 54 126 0 -65 95 144 -6
If the game ends after 5 rounds, which answer choice correctly lists the order of the players from lowest score to highest score?
F. A, B, C, D
G. D, A, C, B
H. D, C, B, A
J. D, B, A, C
Answer:
D, A, C, B.
Step-by-step explanation:
The scores at the end of the 5th round are 102, 295, 186, and 68.
1. Find the perfect square numbers between the following:
a. 26 and 55
Answer:
36 &49
Step-by-step explanation:
6²=36
7²=49
Answer:
36 ,49
Step-by-step explanation:
36 = 6 * 6 = 6²
49 = 7 * 7 = 7²