The mass of a basket containing 3 balls was 3.64 kilograms. The mass of the same basket and 5 balls is 5.26 kilograms. Find the mass of the empty basket in kilograms.
a. the mass of a empty basket is ___
b. explain your answer (in short)
please help
Answer:
mass of empty basket: 1.21 kg
Explanation:
the mass of basket is constant. Let the mass of basket be "b" and mass of each balls be "m"
Make equations:
b + 3(m) = 3.64 ___ equation 1b + 5(m) = 5.26 ___ equation 2solve them simultaneously,
3.64 - 3(m) = 5.26 - 5(m)-3(m) + 5(m) = 5.26 - 3.642(m) = 1.62m = 0.81 kgmass of basket,
b = 3.64 - 3(m)3.64 - 3(0.81 )1.21 kgNow
x+3y=3.64=>x=3.64-3y--(1)x+5y=5.26=>x=5.26-5ySo
3.64-3y=5.26-5y-3y+5y=5.26-3.642y=1.62y=0.81kgSo
x=3.64-3(0.81)=3.64-2.43=1.21kgIrene wants to use equivalent ratios to solve 3,712÷64, but she can't remember how. Show Irene what to do.
Answer:3,712÷64=58
Step-by-step explanation:
Answer: The ratio is 58:1, and the division is = 58. Scroll for solving, check, and notes.
Explanation:What we know:
The question wants us to use equivalent ratiosThe numbers 3,712 and 64 have common denominatorsAn equivalent ratio is a ratio that is something of a simplified form of large numbers, written in a fraction, with a colon, or with the word 'to'How to solve:
We need to find the equivalent ratio of 3,712 and 64, and then solve the question based on that.
Process:Finding equivalent ratios
Set up equation 3712/64
Rewrite into colon-ratio form 3712:64
Divide by common denominator /64 /64*
Solution: =58:1
*Read bottom of notes to find out how I found this denominator
Answer: The ratio is 58:1; the solution to the division is 58.Notes:
There is no way to always know the ratio's common denominator. However, there are some general rules of thumb that may help:
-All numbers have a common denominator of 1. Sometimes, that's the most simplified form.
-All even numbers (Those that end in {0, 2, 4, 6, or 8}) have a common denominator of 2
-All numbers whose digits add up to {3, 6, or 9} (such as 12: 1+2 = 3) have a common denominator of 3.
-These three numbers serve as basic building blocks. You can keep simplifying with them until you get to a prime number. Let's use our problem as an example:
3712 and 64 - both are even, simplify by 2
1856 and 32 - both are even, simplify by 2
928 and 16 - both are even, simplify by 2
464 and 8 - both are even, simplify by 2
232 and 4 - both are even, simplify by 2
116 and 2 - both are even, simplify by 2
58 and 1 - there is a prime number, so this is the simplest form.
Now we take all of our simplifications: 2^6. 2^6 = 64, so the common denominator is 64.
Check:
Our ratio, 58:1, is the simplified form of 3,712 div. 64. This is seen better by rewriting both into a fraction-ratio form:
58:1 3712 div. 64
58/1 3712/64
Luckily, our ratio has a 1 in it. This means that when we multiply the ratio by 64 (what the 1 represents), it should yield the original equation.
3712/64 = 58/1
3712/64 = (58/1)*64
3712/64 = 3712/64
Therefore, 58:1 is the correct ratio.
NEED HELP FAST!!!! NEED ANSWER IN 6 MIN!!!!!!!!!!!!!!
Answer:
28
Step-by-step explanation:
First find the area of the small rectangle, 16 then subtract that from the big rectangle, 44.
Answer:
28 sq. units
Step-by-step explanation:
Area (shaded) = Area (big rectangle) - Area (small rectangle)Area = 4 x 11 - 2 x 8Area = 44 - 16Area = 28 sq. unitsquestion is below, i will mark brainliest
Answer:
a. the first and last one
b. the second and third one
Step-by-step explanation:
a. 11x-3x-10x=18x, so the first one is definitely the answer. If you look at the last one, you can see that 10x+8x also equals 18x. The other options do not equal 18x, so those can be eliminated.
b. If you distribute the 3 outside of the parentheses, you can see that the expression 3(1+3y) equals 3+9y (because 3*1=3 and 3*3y=9y). So, the third one can be determined to be one of the answers. We can see that the second one also simplifies to be 3+9y, so this one can also be determined to be the answer. The other ones can be eliminated because they do not equal 3+9y.
Hope this helped! :)
Answer:
a) 18x and 8x + 10x
b) 3 × 1 + 3 × 3y and 3 + 9y
Step-by-step explanation:
11x - 3x = 8x and then 8x + 10x is left. The answers are 18x and 8x + 10x.
3 × 1 is 3 and 3y × 3 is 9y.
can u pls help me with this
A box of cereal has 20 cups. If each serving of cereal is 1/2 of a cup, how many servings are in the box?
1/40
40
1/20
10
I will give brainliest to the first person to answer
A school fundraiser has a minimum target of $600. Faculty donated $200 and there are 10 student clubs that are participating with different activities. Write an inequality showing the amount money each club should raise to meet the minimum target. Use f for the amount of money that each club raises.
Answer:
600=10f+200
Step-by-step explanation:
since $600 is the target, and the faculty already donated 200 dollars 200 would be the y intercept. since f is the amount of money that the clubs should raise, we can set that as 10 f since there are 10 clubs and since it needs to be inequality, it would be written in the y = mx + b format. hope this helps!
angles and transversals thank you
Answer:
#11-13: 118 , 97 , 62
#7-10: 92 , 125 , 56 , 130
Step-by-step explanation:
#11. Supplementary angles (A + B = 180)
(n + 7) + (3n - 47) = 180n = 55<ABC = 3(55) - 47 = 118 degrees#12. Supplementary angles
83 + x = 180x = 97<ABC = 97 degrees#13. Congruent angles (A = B)
(8x - 34) = (5x +2)x = 12<DEF = 5 (12) + 2 = 62 degrees#7. Congruent angles
(3x +23) = 4xx = 23<ABC = 4(23) = 92 degrees#8. Congruent angles
5x = (3x + 50)x = 25<MPQ = 3(25) + 50 = 125 degrees#9. Congruent angles
(a + 28) = 2aa = 28<MNP = (28) + 28 = 56 degrees#10. Congruent angles
5y = (2y + 78)y = 26<WXZ = 5(26) = 130 degreesI hope this helps!
Question below........
Answer:
-6x - 1
Step-by-step explanation:
-3(x + 1) - (3x -2)
= -3x - 3 - 3x + 2
= -3x - 3x - 3 + 2
= -6x - 3 + 2
= -6x - 1
KA pls answer this for me
Answer:
2/5m - 1/5
Step-by-step explanation:
2/5m - 4/5 + 3/5
2/5m - 1/5
Answer:
2/5m-1/5
Step-by-step explanation:
Assuming you want to simplify the expression...
Distribute:
(2)(1/5m)+2(-2/5)+3/5
2/5m+-4/5+3/5
Combine like terms:
2/5m-1/5
Hope this helps!!!
When you read the text for the first, second and even third time, ... 40+ in Literature so you can learn different strategies and implement .
Answer:A 3-2-1 prompt helps students structure their responses to a text, film, or lesson by asking them to describe three takeaways, two questions, and one thing they enjoyed. It provides an easy way for teachers to check for understanding and to gauge students' interest in a topic.
Step-by-step explanation:
Look at the triangle ABC.
What is the length of the side AB of the triangle? (5 points)
3
5
square root of 6
square root of 13
Answer:
ahh pythagoras' theorem, my old nemesis...
Step-by-step explanation:
Answer:
i may be wrong but i think it is 6
Step-by-step explanation:
To answer the question for all the missing operations are either: add, subtract , multiply , or divide.
question a is divide. 48 divided by -8 is -6.
question b is divide. -40 divided by 8 is -5.
question c is subtract. The negative sign on the 2 and the minus symbol cancel out.
question d is add. If you put a minus sign, the signs would cancel out and become addition.
question e is add. If you put a minus sign, the signs would cancel out and become addition.
question f is multiply. Half of 22 is 11 and the 0.5 is negative.
Look at the image below.
Find the area of the parallelogram.
_____ square units
The answer is 18
A = bh
A = 6(3)
A = 18
Answer:
18
Step-by-step explanation:
Parallelogram area= base*height
3*6=18
Elena donates some money to charity whenever she earns money as a babysitter. The table shows how much money, d, she donates for different amounts of money, m, that she earns.
d 4.44 1.80 3.12 3.60 2.16
m 37 15 26 30 18
1. What percent of her income does Elena donate to charity?
%
2. Which quantity, d or m, would be the better choice for the dependent variable in an equation describing the relationship between d and m?
3. Use your answers to write and equation that relates m and d
4.44/37= 0.12
1.80/15= 0.12
3.12/26= 0.12
3.60/30= 0.12
2.16/18= 0.12
1. She donates 12% of her income to charity
2. The quantity, d, would be the better choice for the dependent variable (y) the cost of the donation, depends on her income, if her income increases, the amount donated would increase.
3. d = 0.12m
(my apologize if this is incorrect)
Answer:
Step-by-step explanation:
Two groups of shapes. In group A, one shape has four equal side lengths of three, and no right angles. The opposite sides are parallel. Two shapes have two pairs of opposite equal side lengths. One shape has side lengths of four and eight. The other side lengths are three and two. Opposite sides are parallel, and there are no right angles. In group B there are three four sided shapes. One has opposite equal side lengths of seven and four and four right angles. One shape has four equal side lengths of three and four right angles. One shape has one set of opposite parallel sides and one right angle. None of the side lengths in the last shape are equal.
Answer: Group A :
Shape #1 : Rhombus
Shape #2 : Two parallelograms/ Two rectangles
Shape #3 : Parallelogram with opposite longer sides equal to 8, and the opposite shorter sides equal to 4.
Shape #4 : Parallelogram with opposite longer sides equal to 3, and the opposite shorter side equal to 2.
Group B :
Shape #1 : Rectangle with opposite longer sides equal to 7, and the opposite shorter sides equal to 4.
Shape #2 : Square with equal sides of 3 units.
Shape #3 : Square with equal sides of 3 units.
Shape #4 : Right-angled trapezium
Step-by-step explanation:
Simon says that to find the area of a trapezoid, you can multiply the height by the top base and the height by the bottom base. Then add the two products together and divide the sum by 2. Is Simon correct? .
Jaclyn estimates the square root of 32 in the following way:
√32 = 2√16 = 2 ∗ 4 = 8
(a) Explain why her reasoning is incorrect.
(b) Rewrite the problem and solve it correctly. Clearly show your work.
Answer:
incorrect, correct answer is 4√2
Step-by-step explanation:
When you remove the square root You will have to remove them completely. so that the inside of the square root cannot be removed any more numbers (I'm not good at English but I hope u understand what I want u to know :)))
√32 = √2×2×2×2×2
Match 2 identical numbers one at a time and bring them out. ;
√32 = 2×2√2
√32 = 4√2 correct answer!
find you If you want to check if your square root removal is correct or not. Multiply the answer you have given by itself, for example:
4√2 × 4√2 = 16×√4 = 16×2 = 32 correct!
hope it helps you <3
She had taken 2 outside without consideration of square root. And the correct value of √32 is 4√2.
What is an irrational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
Jaclyn estimates the square root of 32 in the following way:
√32 = 2√16 = 2 ∗ 4 = 8
a) She had taken 2 outside without consideration of square root.
b) The √32 is correctly solved below.
[tex]\sqrt{32} = \sqrt{2*2*2*2*2} = 2*2*\sqrt2=4\sqrt2[/tex]
Then the correct value of √32 is 4√2.
More about the irrational number link is given below.
https://brainly.com/question/9466779
Translating Equations
The quotient of a number increased by 13 and -7 is -4
Answer:
(x+13)/-7 = -4
Step-by-step explanation: ? or 15 if thats an answer
What is the volume of this figure?
Enter your answer in the box.
__ m³
(I already know the answer, Its 497)
Answer:
497
Step-by-step explanation:
(I want the points) You split the shape into two you know how to solve.
Brainly is probably one of the best websites too ask for help 10-10 Would recommend
Hello!
Let's simplify this expression!
we have
7²+3(√16-4)
7²=49:
49+3(4-4)
49+3(0)
49+0
49
[tex]\huge\boxed{\boxed{\mathfrak{\star{Answer:{49}}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearningWithJoy :-)
Answer:
[tex]\boxed{\sf{49}}[/tex]
Step-by-step explanation:
In order to solve this problem, you must use an order of operations to determine the value of expressions.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtractSolve with exponents first.
7²+3(√16-4)
7²=7*7=49
3(√16-4)=0
Then, add.
49+0=49
49
Therefore, the correct answer is 49.
I hope this helps you! Let me know if my answer is wrong or not.
Louise walked her dog and washed her bike. The time she spent walking her dog was one-fourth the time it took her to wash her bike. It took Louise 14 minutes to walk the dog. How long did it take Louise to wash her bike?
Answer:
56 minutes
Step-by-step explanation:
One-fourth of 56 is 14. 56/4 = 14 Hope this helps!
O Mr. Math S. Fun is looking for his missing pair of
socks. He had 8 pairs from the beginning. 1 red pair,
3 blue pairs, 4 green pairs. He uses 7 pairs last week
and he knows he has a pair of socks remaining. He
left clues on what he used each day last week, help
him which among his socks missing?
Answer:
i think he is missing a pair of red socks
Step-by-step explanation:
i need help on this...i dont know how to do this and its due thursday!!!!!
Answer:
As you can see, −12 is an integer
Step-by-step explanation:
Hope this helps and sry if I'm wrong
Answer: the correct answer my friend is a intengers because intengers could be either positive or negative.
Step-by-step explanation: for example -1, -6, -2, -10, 9 etc could be intengers. Irrational numbers could be root 6 pi also. Whole numbers are just 0, 1, 2, 3 etc. Natural numbers are 1,2,3,4,5,6. so hopefully a is the correct answer
Helpppp :) pls lolllll
Answer:
1/24 cm^3
Step-by-step explanation:
V = lwh
V = 1/3(1/2)(1/4)
V = 1/24 cm^3
The diagram shows a pair of similar figures.
What do the center and the scale factor need to be in order to transform triangle ace to triangle abd ?
Answer:
C
Step-by-step explanation:
hydrochloric acid solution and
70% hydrochloric acid solution
must be mixed to obtain 20
ounces of 50% hydrochloric acid
solution?
Answer:
8 ounces of 20%12 ounces of 70%
Step-by-step explanation:
Let 'x' be the number of ounces of 20% solution'y' be for the 70%
solutionSince the the mix is 50% of 20 ounces then:x + y = 200.20x +
0.70y = 0.50(20)From the 1st equation solve for xx = 20 - ySubstitute it to
the 2nd equation0.2(20-y) + 0.7y = 104 - 0.2y + 0.7y = 100.5y = 10-40.5y =
6y = 12Substitute to x = 20 - yx = 20 - 12x = 8
i need help on this...how do i do it
Answer:
DStep-by-step explanation:
You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 549 and 999. I know that
61/111
is the same as
61÷111
Then using
Long Division for 61 divided by 111
and rounding to a Max of 4 Decimal Places gives me
=0.5495/.5495
then move the decimal point a digit to the RIGHT!!!!The quantities x and y are proportional.
x y
12 36
18 54
25 75
Find the constant of proportionality (r)left parenthesis, r, right parenthesis in the equation y= r x
r= equals
Answer:3
Step-by-step explanation:
36/12=3
54/18=3
75/25=3
help answer with explanation please
Answer:
A.) x/6 = 31/28
Step-by-step explanation:
x = Actual height of Julian
x/6 = 31/28
As 31 is the actual height of the building, you're comparing those.