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=1.21kgdoooooooooooooooooooooooooooooo
An exclusive clothing boutique triples the price of the items it purchases for resale.
The markup is 200%
Enter two expressions that represent the retail price of the clothes. Use c for your variable.
____ or ______
Answer:
Part 1: 300
Part 2: Refer to Step-by-step explanation.
Step-by-step explanation:
Part 1: Triples means multiplying by three, and percent means over 100. 300% means tripling.
300%
Part 2: I'm not sure what the problem means, but if it means the original price, then it is c/3 or 1/3c. If it is referring to the resale price, then it is 300%c or 3c.
Use the number line to answer the question.
Answer:
2.23
Step-by-step explanation:
The reason why this is your answer is that this number is between 2 2/10 and 2 3/10. That means that turned into decimals, this number will be somewhere between 2.2-2.3
Now, we can see that this is 3 units away from 2 2/10 on the number line, which tells us that the decimal is 2.23
So hence, your answer is 2.23
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If you see someone without a smile, give them one of yours!
Thanks!
Have a great day!
:D
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!
Please help as you can
Irene 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.
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.
Are multiplication and division of unit fractions related? Describe the relationship you see.
note: PLEASE MAKE ANSWER LONG BC IT CANT BE SHORT
Answer:Multiplication and division both need to have a common denominator or else you would get an incorrect answer. Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators."
Hii
Yes! They are indeed related. When dividing fractions, we need multiplication. Say, for example. We need to multiply the reciprocal of the second fraction to the first. So. If we needed to answer a question like "2/4 divided by 1/2" We would need to find a common denominator. We find common denominators by multiplication. We can do this 2 ways. See below.
For one, we could multiply 2 and 4 to get 8.For two, we could see what 2 and 4 both multiply by. In this case 8.
Then we would need to divide 2 and 1.
1 can go into 2 twice. 1+1 is 2.Then we multipy to find our denominator (this is a example of using multiplication with divison). 2x4 is 8. So the fraction would be 2/8.Simplify.
Find the GCD (or HCF) of numerator and denominator GCD of 2 and 8 is 2Divide both the numerator and denominator by the GCD 2 ÷ 2 / 8 ÷ 2Reduced fraction: 1 / 4 Therefore, 2/8 simplified to lowest terms is 1/4.
Simplified you'd get 1/4.
(tip, once the numerator hits 1, you can no longer simplify)
Hope this helps!
Please give brainliest.
help help!!
Lucy was watching her brother's team play baseball in the town playoffs. A man selling raffle tickets posed a challenging question to the crowd. He asked if anyone could figure out the area of the shaded half of the baseball field. Help Lucy figure out the answer by using the drawing below. please explain how you got your answer!
Step-by-step explanation:
Area is Base x Height right?
so, the base of the triangle would be 90 ft and the height would be 90 ft!
So 90 x 90 = 8,100 ft!!
This is how I think, so it may be wrong, but this is how I do it!
answer:
a=1/2×b×h
a=1/2x90×90
a=45×90
a=4,050 ft.
in simpler terms....
90×90=8100
this is the area of the ENTIRE FIELD so to find half divide by two 8100÷2=4,050.
4,050 ft.
GOOD LUCK!!!
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:
Please answer the question down below
[tex]x + 62 = 90[/tex]
[tex]x = 90 - 62[/tex]
[tex]x = 28[/tex]
Answer:
28
Step-by-step explanation:
angle AOC is a right angle that equals 90 degreeds
90-62=28
In a year, there are 4 months that have 30 days.
There are 12 months in a year.
For fun: Thirty days hath September, April, June and November. All the rest have thirty-one, Excepting February alone, And that has twenty-eight days clear And twenty-nine in each leap year.
What is the ratio of the months with 30 days to the months with other than 30 days? In simplest form.
1 to 2
1 to 3
2 to 1
3 to 1
HELP 30 POINTS
The model for long term average temperature f (x), in degree celsius, at the wilburn airport is represented by the equation f(x)=5cos(x/12)+14.5. If x represents the month of the year, in which months will the temperature be 17°C?
A. x=pi/3+24pi(n) and x=5pi/3+24pi(n)
B. x=pi/3+2pi(n) and x= 5pi/3 + 2pi(n)
C. x=4pi + 24 pi(n) and x = 20pi + 24 pi(n)
D. 4pi+2pi(n) and x=20pi +2pi(n)
Answer:
i think that the answer is b
Step-by-step explanation:
Answer:b not 100% sure tell me if I’m wrong
Step-by-step explanation:
brainliest if righttt
Answer: 4 in.
Multiply 2*2 = 4
Your answer is 4 in.
Hope this helps! :)
Brainliest please.
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In order to find the diameter, we need to multiply the radius times 2, because the radius is one half ([tex]\displaystyle\frac{1}{2} }[/tex]) of the diameter.
We are given that the radius is:-
[tex]\bigstar{2~in}[/tex]
Multiply it times 2:-
[tex]\bigstar{4~in}[/tex]
Hence, the diameter is equal to:-
[tex]\bigstar{{\boxed{\pmb{4~ inches}}[/tex]
[Enter 4]
diameter: [tex]\boxed{4}[/tex] in.
===============================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
HELP!!!! NEED ANSWER IN 5 MIN!!!!!!!!!!!
Answer:
63cm/m²
Step-by-step explanation:
(12+3×12+3)-12x12-3x3x2
=225-144-18
=63
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.
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.
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
what is 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2 in exponential form?
whoever answers correctly gets brainliest!
Answer:
[tex]2^9[/tex]
Step-by-step explanation:
Since there are nine 2s being multiplied by each other, we can represent this as [tex]2^9[/tex].
Answer:
2^9
Step-by-step explanation:
there are 9 2's and since it has to be in exponential form its 2^9
Solve using unit rates.
ill give brainlyest!!
Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rests for 28 minutes in 4 hours. How long did they rest in 7 hours?
Answer:
49 mins Step-by-step explanation:
28/4=7mins 7x7=49 mins
The net of a square pyramid and its dimensions are shown in the diagram. What is the total surface area in square feet?
1,120 ft^2
5,760 ft^2
1040 ft^2
976 ft^2
Answer:
c
Step-by-step explanation:
The surface area of the square pyramid is 1040 ft² in the given figure.
What is the total surface area of the pyramid?The total surface area of the given pyramid can be expressed as:
Surface area of a square pyramid = A + (1/2) p × s
where A is the base area, p is the perimeter of the base, and s is the slant height
As per the question, we have
length (l) = 20 ft
base perimeter (p) = 4l = 4 × 20 = 80 ft
base area (A) = l² = 20² = 400 ft²
slant height (s) = 16 ft
Substitute the values in the formula for surface area:
Surface area = 400 + 1/2 × 80 × 16
Surface area = 400 + 1280/2
Surface area = 400 + 640
Surface area = 1040 ft²
Thus, the surface area of the square pyramid is 1040 ft².
Learn more about the surface area of the prism here:
https://brainly.com/question/28016184
#SPJ3
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
Please answer these questions for 30 Points, id appreciate it greatly
(QUESTIONS IN IMAGE)
Answer:
The answer to number 4 would be 576cm^3
Step-by-step explanation:
Number 4:
The formula for volume would be V=B·h
to find B your going to find the base of the triangle which would be B=1/2·8·9 so B=36
Then you find the height which is 16 because it connects the two bases of the triangular prism
Next you multiply B·h so 36·16
Lastly, add your units and cube the number because you are foinding volume.
A. Change to Percent. Show your work.
1. 5.5 = _____
2. .75 = _____
3. .09 = _____
4. 5 1/2 = ___
5. 3/4 = _____
B. Change to Decimal
1. 2% = _____
2. 75% = _____
3. 1/2 = _____
4. 1/2 % = _____
5. 3 2/5 = _____
Answer:
1. 55%
2.7.5 %
3. 09%
4. 25.5 %
5. 1.33%
B
1 2.0
2. 7.5
3 1.2
4. 12
5. 6.5
The scale on a map shows that 200 miles is represented by 5 inches on a map. Which proportion can be used to find the
distance on the map, x, that represents 50 miles?
5 x
200 50
05-50
50
200
5
xlor
X
5
o
50" 200
Use the permutation formula to solve a problem when
P = n! C = n!
ⁿ ʸ ------ ⁿ ʳ ---------
(n-r)! r!(n-r)!
(i couldnt download the photo of the formula but i tried to do my best of making it out ;u;)
__
A. 1.36
B. 54
C. 3,276
D. 32,760
can u pls help me with this
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? .
Each license plate in a certain state has five characters (with repeats allowed).
Here are the possibilities for each character.
Character Possibilities
First The digits , , , or
Second The letters of the alphabet
Third The letters of the alphabet
Fourth The digits through
Fifth The digits through
How many license plates are possible in this state?
Answer: there is over 100 different ways to make one
Step-by-step explanation: