Answer:
1. convert mixed fractions into improper fractions
2 1/3 ÷ 8 1/2
7/3 ÷ 17/2
2. flip second fraction and change the sign
7/3 × 2/17
3. solve by multiplying
14/51
I don't know if this can be simplified further
The school store sold a total of 55 shirts for $620. The shirts sold were either red or white. If the red shirts sold for $12 each and the white shirts sold for $10 each, how many color of each shirt were sold?
Answer:
I used trial and error. It's a great method.
35 blue shirts
20 gray shirts
35*12=420
20*10=200
420+200=620.
Step-by-step explanation:
Answer:
$12R + $10W = $620
r=35
w=20
Step-by-step explanation:
A hemispherical bowl of internal diameter 12 cm, full of water, is emptied into a cylindrical can 8 cm in diameter. How deep is the water in the can?
Step-by-step explanation:
The volume [tex]V_s[/tex] of a sphere of radius R is is given by
[tex]V_s = \frac{4\pi}{3}R^3[/tex]
so a hemisphere will only have half the volume of a sphere so we can write its volume [tex]V_h[/tex] as
[tex]V_h = \frac{1}{2}V_s = \frac{2\pi}{3}R^3[/tex]
Since the diameter D is twice the radius R, we can rewrite [tex]V_h[/tex] in terms of D as
[tex]V_h = \frac{2\pi}{3}\left(\frac{1}{2}D\right)^3 = \frac{\pi}{12}D^3[/tex]
[tex]\:\:\:\:\:\:\:=\frac{\pi}{12}(12\:\text{cm})^3 = 452.4\:\text{cm}^3[/tex]
Now represents the amount of water inside the hemisphere, which will be then transferred to a cylinder 8 cm in diameter. The volume of this cylindrical can [tex]V_c[/tex] must equal the volume of the hemisphere:
[tex]V_h = V_c = \pi R^2h = \pi\left(\frac{1}{2}D\right)^2h[/tex]
[tex]\:\:\:\:\:\:\:=\frac{\pi}{4}D^2h[/tex]
where h is the height (or depth) of the can. Solving for h, we get
[tex]h = \dfrac{4V_h}{\pi D^2} = \dfrac{4(452.4\:\text{cm}^3)}{\pi(8\:\text{cm})^2}[/tex]
[tex]\:\:\:\:\:= 9\:\text{cm}[/tex]
Mrs. Rokava bought 2 quintals of apples in Jumla for Rs 17.000. She paid Rs 15 per kg for the transportation from Jumla to Nepalgunj. 10 kg of apples were damage and she sold the remaining quantity at Rs 120 per kg Calculate her profit or loss percent in the total transaction
Answer:
Step-by-step explanation:
2 quintals = 200 kg Rs 17.000
transport 200(15) Rs 3.000 +
Total investment Rs 20.000
sales (200 - 10)(120) Rs 22.800
profit 22.800 - 20.000 Rs 2.800
Dean put together first boxes for 5 of his neighbors. Each box cost $1.00 and contained a plant and a $3.00 pair of gardening gloves. He spent a total of $42.50 on everything. How much did each plant cost?
Calculate 2 2/5 - 1 2/3
Answer:
25 4 12334
Step-by-step explanation:
Sper ca te-am ajutat okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Determine whether the expression 9m^2 + k is equal to 7m^2 + 2(2k-m^2) + 5k. Use properties to justify your answer.
they are not equal
The first number cannot be simplified (9m^2 + k) and is the second is equal to 5m^2+9k
hope this helps <3
Let A = { 1, 2, 5, 7 } and B = { 1, 5, 9, 12 }. Write each of the following sets.
1. A ∩ b
2. A ∪ B
Answer:
1,5 answer of 1 St questions
1,2,5,7,9,12 answer 2nd questions
Step-by-step explanation:
1.A ∩ B
A { 1, 2, 5, 7 } and B = { 1, 5, 9, 12 }.
They have both five and one so the answer is
A ∩ B= {1,5}
2. A ∪ B
You only need to list everything(but no repetition) so the answer is
{ 1, 2, 5, 7, 9, 12 }
A company estimates that it can sell 3,000 units each month of its product if it prices each unit at $80. However, its monthly number of sales will increase by 10 units for each $0.10 decrease in price. The company has fixed costs of $250. The cost to make each unit is $4.20. Find the level of production that maximizes the company's profit.
The Should Produce _________
Units at a price of $__________
Which will yield a profit of $_______
9514 1404 393
Answer:
5290 units$57.10 per unit$279,591 profitStep-by-step explanation:
For price p, the quantity q of units sold is said to be ...
q = 3000 +10(80-p)/0.10 . . . . for price in dollars
Then the revenue will be ...
r(p) = p·q = p(3000 +100(80-p)) = 100p(110 -p)
The cost is said to be ...
c(q) = 250 +4.20q
c(p) = 250 +4.20(100(110 -p)) = 250 +420(110 -p)
Then the profit function is ...
P(p) = r(p) -c(p)
P(p) = 100p(110 -p) -(250 +420(110 -p)) = (110 -p)(100p -420) -250
__
Ignoring the vertical offset of -250, the quadratic has zeros at 110 and 4.2. So, its line of symmetry (and vertex) will be found at ...
p = (110 +4.2)/2 = 57.1 . . . . dollars per unit
The quantity that should be produced at that price is ...
q(57.1) = 100(110 -57.1) = 5290 . . . . units produced
The profit at that price is ...
P(57.1) = (110 -57.1)(100·57.1 -420) -250 = 52.9(5290) -250
= $279,591 . . . . best profit
_____
Additional comment
After you have seen a few of these, you can write down the revenue function based on the rate of change of units sold.
If p is the price of a unit, then 80-p is the number of dollars of decrease in price for a price of p. Then (80 -p)/0.10 is the number of 10¢ decreases in price. The increase in units sold is 10 times this, or 10(80 -p)/0.10 = 100(80 -p). When that is added to 3000 units sold, the total is ...
3000 +100(80 -p) = 3000 +8000 -100p
= 11000 -100p = 100(110 -p) . . . . . quantity sold at price p
Revenue is the product of price times the number of units sold at that price.
Profit is the difference between revenue and cost.
(The quotient of a number and the sum of the number and eight) Help to translate this for me thank you!!!!
Answer:
(1+8)
Step-by-step explanation:
(+8)
Please help me
Here it is
PLEASE HELP
(delta math)
Triangle IJK is formed by connecting the midpoints of the side of triangle FGH.
The lengths of the sides of triangle IJK are shown. What is the length of FH?
Figures not necessarily drawn to scale.
H
5
5
hi me ////// ///////////
Audrey is hosting a movie marathon over the weekend. There will be p people at the party
altogether. Audrey estimates she'll need one bag of cheese popcorn and one pack of gummy
worms per person. A bag of cheese popcorn costs $2.50, and a pack of gummy worms costs
$1.50.
Pick all the expressions that represent how much money Audrey will spend on cheese
popcorn and gummy worms.
2.50( + 1) + 1.50( + 1)
2.50p + 1.50p
4.00p
p(2.50 +1.50)
Answer:
2,3 and 4
Step-by-step explanation:
The 2nd one:
2.50p + 1.50p because for each person she needs 1.50 for the gummy worms and 2.50 for the popcorn.
The 3rd one becuase it’s the same as the 2nd one, just added together already.
‘And the 4th one, it’s the same as 2 and 3, just in parentheses.
1. Polygon Q is a scaled copy of Polygon P.
4
3
Х
У
a. The value of x is 6, what is the value of y?
b. What is the scale factor?
Answer:
Scale Factor 3/4
Step-by-step explanation:
i just did it and got it right
A hose fills a 18-gallon tub in 3 minutes how long will it take to fill a 45 gallon tub
Answer:
your answer should be 7 or 7.5 minutes.
Step-by-step explanation:
Hope this helps and have a great day
The required time to fill the tub is 7.5 minutes.
What is Unitary method ?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
The time taken by hose to fill 18-gallon tub is 3 minutes.
So, the time taken by the the same hose to fill 45 gallon can be calculated using unitary method as,
The time it takes to fill 1 gallon is 3/18 = 1/6.
Thus, the time for filling 45 gallon is 1/6 × 45 = 7.5 minutes.
Hence, the time taken by the hose to fill 45 gallon tub is 7.5 minutes.
To know more about unitary method click on,
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which of the following are right triangles: a triangle with side lenghts 6 inches, 8 inches,10 inches, a triangle with side lengths 8, 15, 17, a triangle with side lengths 5, 12, 13, a triangle with side lenght 4, 5, 6
9514 1404 393
Answer:
(6, 8, 10) right(8, 15, 17) right(5, 12, 13) rightStep-by-step explanation:
It can be helpful to memorize a few of the Pythagorean triples that show up in Algebra problems. Their multiples also form right triangles.
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)
The triple (6, 8, 10) is the first one of these, multiplied by 2 inches.
The only triple that is a sequence of consecutive integers is (3, 4, 5), so you know immediately that (4, 5, 6) does not form a right triangle.
Of course, you can check any of them to see if the squares of the smaller two numbers total the square of the larger number:
4² +5² = 16 +25 = 41 ≠ 6² . . . . . (4, 5, 6) is not a right triangle
Shen drinks 0.55 L of milk every day. How much milk does he drink in 13 days?
Write your answer in milliliters.
Answer: 7,150 mL
Step-by-step explanation:
Shen drinks 0.55L of milk daily.
In order to find how much milk Shen is drinking in 13 days multiply 0.55 L by 13:
0.55 × 13 = 7.15 L
Turn the Liters into milliliters:
1 liter = 1000 mL
7.15 liters = 7,150 mL
Hello, I want to ask. . anyone knows the answer.
Answer:
1
Step-by-step explanation:
i think what they want us to do here is round to the nearest tenth. however, as we all know, any number lower than five you must round down and convert to zeros. so, since the prescription called for 1.04 tablets per day, we can round down and get just 1.
so, 1 is your answer.
Answer: I believe the answer would be C, or 1
Step-by-step explanation: If he is supposed to take 1.04 tablets per day, the closest to that would be one tablet, because you can't really cut of 4% of a pill.
PLEASE FOR THE LOVE OF GOD HELPPPP!!!!! THESE ARE DUE TONIGHT!!!
1. Twelve hungry teenagers can devour a very large pizza in 20 minutes. How many teenagers would it take to finish a very large pizza in 15 minutes? (Assume that all teenagers eat pizza at the same rate.)
2. For a statue of Miss Levans, the amount of gold required is directly proportional to the square of the height of the statue. A statue of Miss Levans that is 20 feet tall requires 80 pounds of gold. How many pounds of gold does a statue that is 25 feet tall require?
3. Tina lives 30 miles away from her work, and she normally drives at 45 miles per hour. If she wants to get to work 10 minutes earlier, how fast should she drive to work, in miles per hour?
4. All of the members of our spray-painting team paint at the same speed. If 5 team members can paint a certain wall in 27 minutes, then how many minutes would it take 15 of our team members to paint the same wall?
5. All of the members of our spray-painting team paint at the same speed. If 8 team members can paint a 5000 square foot wall in 30 minutes, then how many minutes would it take the 8 members to paint an 8000 square foot wall?
6. All of the members of our spray-painting team paint at the same speed. If 12 team members can paint a 2400 square foot wall in 45 minutes, then how many minutes would it take for 9 team members to paint a 3600 square foot wall?
7. I drove to my parents' house at 60 miles per hour. If I had driven 50 miles an hour instead, then I would have gotten there 40 minutes later. How many miles did I drive?
8. Fake gold bricks are made by covering concrete cubes with gold paint, so the cost of the paint is directly proportional to their surface area while the cost of the concrete is directly proportional to their volume. A cube with edges of length 1 inch costs $1.30 to make, while a cube with edges of length 2 inches costs $6.80 to make. How much would a cube with edges of length 3 inches cost to make?
9. Anabel's horse runs 24 miles per hour. Jackie's horse runs 28 miles per hour. Both horses stand at the starting line of a straight 2-mile track, and Jackie's horse starts running 30 seconds after Anabel's. How many miles from the starting line does Jackie's horse catch up to Anabel's?
10. Mrs. Danforth packed 5 bags of fun-sized candies for her family's picnic. Each bag contains 16 pieces. She had intended to pass out the same number of candies to each of her 4 children. But Cameron, her second-youngest, argues that she should instead distribute the candies in proportion to the children's ages. All of the children have different ages. If Cameron can convince his mother to give out the candies his way, he will gain two candies while his four-year-old sister will lose twelve. How old is Mrs. Danforth's oldest child?
Answer:
1) 9 teenagers
2) 100 pounds
3) . . .
4) 81 minutes
5) 48 minutes
6) 67.5 minutes
7) . . .
8) $10.20
9) . . .
10) . . .
Sorry that I wasn't able to get all of the answers.
I'm also not sure if number 4 is correct, but I don't know what else it would be.
But anyway, hope it helps!
Solution:
The shadow of an object is directly proportional to its height. Thus,
\[\frac{\text{Height of object}}{\text{Length of shadow}} = \frac{6}{16} = \frac{3}{8}.\]
Therefore, the height of the flagpole is $\frac{3}{8} \cdot 72 = \boxed{27}$ feet.
Your Response(s):
$ 27
VtProblem 2 – Correct! – Score: 7 / 7 (28044)
Problem: Report Error
Twelve hungry teenagers can devour a very large pizza in $20$ minutes. How many teenagers would it take to finish a very large pizza in $15$ minutes? (Assume that all teenagers eat pizza at the same rate.)
(Based on Problem 7.5 of the textbook.)
Solution:
Each of the twelve teenagers eats $\frac{1}{12}$ of the pizza in $20$ minutes. Thus, the rate of a teenager is
\[\frac{\frac{1}{12} \text{ pizza}}{20 \text { minutes}} = \frac{1}{240} \ \frac{\text{pizza}}{\text{minute}}.\]
This means in $15$ minutes, each teenager can eat
\[(15 \text{ minutes}) \left( \frac{1}{240} \ \frac{\text{pizza}}{\text{minute}} \right) = \frac{1}{16} \text{ pizza}.\]Therefore, it will take $\boxed{16}$ teenagers.
Alternatively, the number of teenagers is inversely proportional to the time it takes them to finish. From the given information, the constant of proportionality is $12 \cdot 20 = 240.$ Therefore, the answer we seek is $\frac{240}{15} = \boxed{16}.$
Your Response(s):
$ 16
VtProblem 3 – Correct! – Score: 1 / 7 (28043)
Problem: Report Error
For a statue of Miss Levans, the amount of gold required is directly proportional to the square of the height of the statue. A statue of Miss Levans that is $20$ feet tall requires $80$ pounds of gold. How many pounds of gold does a statue that is $25$ feet tall require?
We suggest you study Section 7.1 if you find this problem difficult.
Solution:
Let $h$ be the height of the statue, and let $g$ be the amount of gold required. Then
\[g = kh^2\]for some constant $k.$
Since $g = 80$ when $h = 20,$
\[80 = k \cdot 20^2,\]so
\[k = \frac{80}{20^2} = \frac{1}{5}.\]
So when $h = 25,$
\[g = \frac{1}{5} \cdot 25^2 = \boxed{125}.\]
Hint(s):
Let $h$ be the height of the statue, and let $g$ be the amount of gold required. Then $g = kh^2$ for some constant $k.$ Find $k.$
Your Response(s):
% 100
% 625/4
% 10000
$ 125
VtProblem 4 – Correct! – Score: 7 / 7 (28041)
Problem: Report Error
Tina lives $30$ miles away from her work, and she normally drives at $45$ miles per hour. If she wants to get to work $10$ minutes earlier, how fast should she drive to work, in miles per hour?
We suggest you study Section 7.4 if you find this problem difficult.
Solution:
Select the two pairs of figures that are similar.
Answer:
b+a+09=097
Step-by-step explanation:
welcome
Find the percentage of change. In 2016, 136.75 million votes were cast for the presidential election. In 2020 151.8 million votes have been counted . What’s the percentage of change ?
Answer:
11.0% increase
Step-by-step explanation:
The percentage change can be found from ...
((new value)/(old value) -1) × 100%
= (151.8/136.75 -1) × 100%
≈ (1.1100548 -1) × 100%
≈ 11.0% . . . . . increase
The length of a rectangle is 5 inches more that the width. The perimeter is 46 inches. Find the length and the width.
Answer:
1. Use variables to represent length and width.
width = w
length = w + 5
2. Set up an equation for the perimeter of the rectangle.
perimeter = 2L + 2W
2(w + 5) + 2(w) = 46
2w + 10 + 2w = 46
4w + 10 = 46
4w = 36
w = 9
3. Find the length and width of the rectangle.
width = w = 9 inches
length = w + 5 = 14 inches
Answer:
Width is 9 inches
Length is 14 inches
Step-by-step explanation:
width = w
length = w + 5
perimeter = 2L + 2W
2(w + 5) + 2(w) = 46
2w + 10 + 2w = 46
4w + 10 = 46
4w = 36
w = 9
Width = w = 9 inches
Length = w + 5 = 14 inches
Therefore the width is equal to 9 inches and the length is 14 inches.
what is a 4-diget number that is divisible by both 5 and 6 explain
Answer:
3000, 1200, 6000 Are all possible answers
Step-by-step explanation:
A 4 digit number is a number consisting of 4 numerals, such as 1000, 2000, and 1234.
Numbers 5 and 6 go into many numbers. 5 goes into any number ending in 0 or 5. 6 goes into all multiples of 6, 12, 18, 24, and more.
We can confidently say that numbers 3000, 1200, 6000 Are all possible answers to this question because numbers 5 and 6 can go into these numbers.
Hope this helped!
 Which of the following transformations does not preserve congruence?
Ron has five books on chemistry. He wants to mail the books. He weighs the books. Which unit should he use to measure the weight of books?
Answer:
Pounds
Step-by-step explanation:
Grams is used for smaller objects, and liters is used for a liquid, centimeters, is used to measure distance, and same with yards,feet,kilometers, meters. the correct answer is pounds.
Ron weighs the books so he uses to pound unit to measure the weight of the books.
What are units of measurement?The group of units used to quantify different physical quantities is collectively known as the units of measurement. Since ancient times, we have measured these things using many units, including length, mass, volume, current, and temperature. Since then, these units of measurement have changed, and we now use new, more practical and user-friendly systems of measurement.
Centimetres are used to measure distance, same as yards, feet, kilometres, and metres are used to measure larger objects, liquids are measured in litres, and tiny objects are measured in grammes.
Since Ron weighs the books so he uses to pound unit to measure the weight of the books.
Therefore, the correct answer would be pound.
Hence, he weighs the books so he uses to pound unit to measure the weight of the books.
Learn more about the units of measurement here:
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Need help with this question
Answer:
Yes, it is a solution because inserting 8 into the equation gives you 13.
Step-by-step explanation:
1/2(8) + 9 = 13
4 + 9 = 13
13 = 13
What is the probability of getting a 1 or a 20 on your first roll with 20 sided die?
1/10, since there's 2 winning possibilities out of 20 altogether.
Prove that (I ,+) is an abelian group
where I = Set of integers
Step-by-step explanation:
First we recall the relevant definitions and properties:
An even integer is an integer that is a multiple of 2, that is, an integer that can be written as 2k2k where kk is also an integer.
An abelian group is a set with an operation that is closed in that set, is associative, has an identity element, has inverses, and is commutative.
Addition is already associative and commutative over the set of all integers, and has an identity 00 and an inverse −n−n for each integer nn.
Oh, and multiplication of integers distributes over addition (this is important because we’re dealing with multiples of 2 but also with addition. The distributive property is how multiplication relates to addition).
This means we have to show a few things:
Addition is closed over the even integers. This holds due to the distributive property: if you have even integers 2k2k and 2m2m, then 2k+2m=2(k+m)2k+2m=2(k+m) is also an even integer. The odd integers fail this property: for example, 11 is odd but 1+1=21+1=2, which is not odd.
Addition is associative over the even integers. This holds because addition is already associative over the set of all integers: 2k+(2m+2j)=(2k+2m)+2j2k+(2m+2j)=(2k+2m)+2j. The odd integers do satisfy associativity, since they’re also a subset of the integers.
Addition has an identity element over the even integers. Since we already know that 00 is an identity for the set of all integers and 00 is even, this shows that we have an identity for the even integers: 2k+0=2k2k+0=2k. This doesn’t hold for the set of odd integers, because if nn and kk are odd integers and n+k=nn+k=n then k=0k=0, a contradiction since 00 is not odd.
Addition has inverses over the even integers. We already know that integers have inverses, and if 2k2k is an even integer then −k−k is the inverse of kk, so that 2k+2(−k)=2(k+(−k))=2(0)=02k+2(−k)=2(k+(−k))=2(0)=0. This means the even integer 2(−k)2(−k) is the inverse of 2k2k. The odd numbers do satisfy this property, since they’re also a subset of the integers.
Addition is commutative over the even integers. This holds because addition is already commutative over the set of all integers: 2k
Please help I’m stuck on this
Answer:
y = 1/2x +1/2
Step-by-step explanation:
I find it easier to write the equation if I can find grid intersection points where the line crosses. Here, a couple of them are (1, 1) and (3, 2).
The slope can be found from ...
m = (y2 -y1)/(x2 -x1)
m = (2 -1)/(3 -1) = 1/2
The y-intercept can be found from ...
b = y -mx
b = 1 -(1/2)(1) = 1/2 . . . . . . using (x, y) = (1, 1)
Then the slope-intercept equation is ...
y = mx +b
y = 1/2x +1/2
In standard form, the equation can be written as ...
x -2y = -1 . . . . . multiply by 2; subtract y+1 from both sides
125 is what percent of 100?
Answer:
125
Step-by-step explanation:
100 × 125% =
100 × 1.25 =
125
Answer:
125 would be 125 precent of 100
each month, Jacob's bank statement shows a withdrawal of 30$ for his gym membership. what was the total withdrawal for the year?
Answer:
$360
Step-by-step explanation:
12 months in a year
12 x 30 = 360
$360
Answer:
The total withdrawal is $360 dollars
Step-by-step explanation:
12 months in a year
30 * 12 = 360
$360
