Answer:
you have to show which points lol
A rainwater was 2/3 full of water. After 60 liters of water were used from the barrel, it was 5/12 full. How much water does the barrel hold when full?
Answer: 240 liters
=======================================================
Work Shown:
x = capacity of barrel in liters
This value of x is some positive real number. It represents the most amount of water the barrel can hold.
The problem states that the barrel is 2/3 full to start with. This means, we start off with (2/3)x liters of water. Then we subtract off 60 of them to get to 5/12 full, meaning we have (5/12)x liters left.
We can form this equation
(2/3)x - 60 = (5/12)x
Multiply both sides by 12 to clear out the fractions
(2/3)x - 60 = (5/12)x
12*( (2/3)x - 60 ) = 12*(5/12)x
12*(2/3)x - 12*60 = 12*(5/12)x
8x - 720 = 5x
From here we solve for x
8x - 5x = 720
3x = 720
x = 720/3
x = 240
The barrel's full capacity is 240 liters
--------------------------
Check:
2/3 of 240 = (2/3)*240 = 160
The barrel starts off with 160 liters of water inside.
We then use 60 of them to be left with 160-60 = 100 liters
Note how 100/240 = (5*20)/(12*20) = 5/12, showing that 100 liters out of 240 total reduces to the fraction 5/12. In other words, when we say "5/12 full" we mean 100 liters full. This helps confirm we have the right answer.
When a number increases by 25% it becomes 20 find the numbers
Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12 pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecil’s weight in terms of Dylan’s weight (d)?
Part A
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression to represent Alan’s weight in terms of Dylan’s weight.
Part B
Bruce weighs 12 pounds less than three times what Dylan weighs. Write an expression for Bruce's weight in terms of Dylan's weight
Part C
Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression for Cecil's weight in terms of Dylan’s weight.
Part D
Assume that Dylan weighs 45 pounds. Use the expression from part C to calculate Cecil’s weight.
Part E
Recall the linear expression for Cecil’s weight in part D. Before plugging values into it, could you have simplified the expression? If yes, explain how.
Part F
Simplify the expression (2d + 3) + (3d − 12).
Part G
Dylan weighs 45 pounds. Use the simplified expression you found in Part F to recalculate Cecil’s weight. Show your work.
Part H
Did you get the same answer for Cecil’s weight in parts D and G? What can you conclude about the expressions you developed in parts D and G?
Part I
Let's try something a bit different. The four brothers know that Bruce weighs more than Alan. Write an expression to represent how much more Bruce weighs than Alan. Write the in terms of Dylan’s weight, d.
Part J
Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.
Part K
Now simplify the expression (3d − 12) − (2d + 3) you wrote in part I.
art L
Dylan weighs 45 pounds. Use the simplified expression you found in part K to recalculate how much more Bruce weighs than Alan. Did you get the same answer as in part J? If not, be sure to check your work, particularly the positive and negative signs.
PLEASE HELP I WILL DO YOUR WORK IF YOU DO THIS FOR ME PLZZZZZZZZZZZZZZZ
Answer:
PART A- 3+D POUNDS
PARTB- 3D-12
Step-by-step explanation:
dylan-d pounds
alan-3+d pounds
bruce-3d-12
Answer:
Alan = A
Bruce = B
Cecil = C
Dylan = D
Part A A = 2 x D + 3
Part B B= 3 x D - 12
Part C C= A+B A = 2 x D + 3 B= 3 x D - 12
Part D Cecil weighs 216 pounds
Part E Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.
Part F 5d-9
Part G Cecil’s weight in terms of Dylan’s weight is 5d – 9. Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:
(5 × 45) − 9 = 225 − 9 = 216.
If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.
Part H Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.
Part I Bruce's weight in terms of Dylan’s weight is 3d − 12. Alan's weight in terms of Dylan’s weight is 2d + 3.
So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.
Part J The expression is (3d − 12) − (2d + 3). Evaluate the expression by substituting Dylan’s weight (d = 45) into it: (3 × 45 − 12) − (2 × 45 + 3) = (135 − 12) − (90 + 3) = (123) − (93) = 30.
Bruce weighs 30 pounds more than Alan weighs.
Part K (3d − 12) − (2d + 3).
First remove the parentheses:
3d − 12 − 2d − 3.
Then group the like terms:
3d − 2d − 12 − 3.
Finally, subtract the like terms:
d − 15.
The expression (3d − 12) − (2d + 3) simplifies to d − 15.
Part L The expression is d − 15. Evaluate the expression by substituting Dylan’s weight (d = 45) into it: 45 − 15 = 30.
Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.
Step by step explanation:
So you basically want to focus on Alan and Bruce they will help you get the rest of your answers
Note:
Some of these are direct answers from Edmentum
there is 1 person he has a friend how do you add him on brainly and how many people are there in total?
What is the absolute value of -9?
Answer:
9
Step-by-step explanation:
Absolute value means the distance from 0 on a number line, and -9 is 9 spots away from 0
Answer:
9
Step-by-step explanation:
Absolute value just means the positive value of the number
(8) Use the information in the diagram to determine the height of the tree. The diagram is not to scale. GEOMETRY
Answer:
D = 37.5
Step-by-step explanation:
Which typist is faster,
Glenda, typing 195 words in 3 minutes, or
Jorge, typing 236 words in 4 minutes?
How do you know?
please help <3
Answer:
Glenda is faster
Step-by-step explanation:
Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)
Sheila's entertainment center has enough space for a television that is 12 inches long and 15 inches high. TVs for Less is selling a television with an area of 196 square inches. Will the television fit in Sheila's entertainment center?
I don't understand this
Answer:
59
Step-by-step explanation:
It's quite simple. A triange has a total of 180 degress. So add 47 and 74 to get 121. Then do 180 minus 121 to get 59
What’s the answer? QUICK
Answer:
Step-by-step explanation:
4 and 1/6
Find the value of x in the triangle shown below choose 1 answer
Answer:
x=10
Step-by-step explanation:
X^2=6^+8^
x^2=36=64
x^2=100, square root of 100 =10
x=10
Can u help me understand how to write a function for the rule "the output is 3 less than 5 times the input" thanks :)
Answer:
I think it would be something like 5x - 3 =
Solve the equation: 2 (x + 2x) - 36
A) X=-18
B) x = 18
cx = -6
D) x = 6
______________________________
1.) Divide both sides by 2:[tex]2[/tex] ÷ [tex]2=[/tex] Cancels Out[tex]36[/tex] ÷ [tex]2=18[/tex]
- We do this first because we need the get rid of the parenthesis in order to solve this like a regular problem. In this case the only way to do so was to divide by 2 to separate the Number/Variable from the parenthesis.
Equation at the end of Step 1:
[tex]x+2x=18[/tex]2.) Combine x and 2x:[tex]x+2x=3x[/tex]
- We do this because we can't have 2 variables at the end of the equation so it's best to just combine them.
Equation at the end of Step 2:
[tex]3x=18[/tex]3.) Divide both sides by 3:[tex]3x[/tex] ÷ [tex]3=x[/tex][tex]18[/tex] ÷ [tex]3=6[/tex]- We divided for the last step since their was 1 variable connected by a number and another number on the opposite side of the equal.
______________________________
Which expression is equivalent to
8g + 2+ 4g - 2 -2g?
1. 16g+4
2.16g
3.10g+4
4.10g
Answer:
4. 10g
Step-by-step explanation:
8g + 2 + 4g - 2 - 2g
8g + 2 + 4g - 2 - 2g = 10g
8g + 2 + 4g - 2 -2g = 0
Final Answer:
10g
Help plz ASAP , geometry
Answer:
Step-by-step explanation:
Use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse (longest side)
a^2 + 7^2 = 8^2
a^2 + 49 = 64
a^2=15
Now take the square root of 15 which is about 3.8
Rewrite the expression in the form 8^n
(8^-8)(8^3)
Step-by-step explanation:
Law of Indices:
a^m * a^n = a^(m + n)
Hence,
8^(-8) * 8^(3) = 8^(-8 + 3) = 8^(-5).
Answer:
8^‐5
Step-by-step explanation:
I think this is correct. if those are exponents.
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
O A. 15:15
OB. 1: 15
O C. 1: 2
OD. 25
E. 2.5: 6
OF. v2:
9514 1404 393
Answer:
B, E
Step-by-step explanation:
The ratios of side lengths in a 30-60-90 triangle are ...
1 : √3 : 2
The two legs are the shorter sides, so any ratio that reduces to 1 : √3 is an appropriate choice:
B. 1 : √3
E. 2√3 : 6
Conner had 354$ and spent 243 cents. How much did conner have left and how many dollars? please help. If you do, then I will tell you a secret.
Conner: $354 - 243 cents
243 cents = $2.43 because 100 cents = 1 dollar
Conner: $354 - $2.43 = $351.57
$351.57
He has 351 dollars left.
Answer:
354 - 243 = 111
Step-by-step explanation:
300 - 200 = 100
50 - 40 = 10
4 - 3 = 1
100 + 10 + 1 = 111
You had $23 to spend on five raffle tickets. After buying them, you had $8.
How much did each raffle ticket cost?
O $103
O $3
O $75
O $15
Answer:3
Step-by-step explanation:
23-8= 15
15/5=3
Given Q'R'S'T' is a dilation of QRST, find the scale factor of dilation.
Answer:
5Cause 15 divided by 3 is five
An amusement part sells children
tickets, c, for $15 and adult tickets,
a, for $22. On Monday they sold
438 tickets and earned a total of
$7,067. How many children and
adult tickets did they sell on
Monday?
In what situation would you use the sine or cosine law, rather than just a simple trigonometric ratio?
Answer:
Mechanical work or work, kinetic and potential energy, etc
Step-by-step explanation:
Like in this work equation, W= FcosD
where F is the magnitude of the force acting on the object
where D is the magnitude of the object's displacement
where cos is the angle between the force and displacement vectors
hope that helps..
Work out the area of this circle with radius 11.2 take pie to be 3.142 and give your answer to 2 decimal places
Answer:
394.13 to 2 D.P.s
Step-by-step explanation:
Area = pi r^2
= 3.142 * 11.2^2
= 394.132.
The area of this circle up to 2 decimal places will be 394.13 square units.
What is the area of the circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The radius of the circle is 11.2 units and takes π to be 3.142. Then the area is given as,
A = π x (11.2)²
A = 3.142 x 125.44
A = 394.13 square units
The area of this circle up to 2 decimal places will be 394.13 square units.
More about the area of a circle link is given below.
https://brainly.com/question/11952845
#SPJ5
In a study of 82 Halo game players, it was found that the ages of these players were normally distributed, with a mean age of 17 years and a standard deviation of 3 years. Find the z score for a 21 year old.
A.) 2
B.) -2
C.) -1.33
D.) 1.33
Answer:
c
Step-by-step explanation:
and bro i am i have a brother that always on my account makes me that im cheating that im not and he always blames me so thats why my bro has too many gfs and always blames me
2(1-x)+3x
PLZ ANSWER
Answer: 2 + x
Step-by-step explanation:
Distributed Property
Please simplify 5(-x-4)-4
thanks
can somebody help me ?
Answer:
6
Step-by-step explanation:
24/4 is 6
Answer:
6 US dollars
Step-by-step explanation:
I'm not mcsmart sorry
What is the approximate area of the circle shown below? Please help and thank you
A. 11.6 ft2
B. 172 ft2
C. 23.2 ft2
D. 43 ft2
Answer:
D
Step-by-step explanation:
A = (pi)(r)^2
A = (3.14)(3.7)^2
A= ~43
Answer:
d. 43
Step-by-step explanation:
You have $49 to spend on vacation in LA. If sales tax in Los Angeles is 9.75% and you want to buy a pair of shoes that are priced at $45, do you have enough money
On a math test a student, Sarah, has to identify all the coefficients and constants of
the expression 8 + 7b+y. Sarah says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Sarah have made?
The coefficient(s) of the expression is/are -
(Use a comma to separate answers as needed.