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Related Questions
The ratio of athletes in the two teams is 3:2. After 12 athletes move from first team to second, the ratio is 5:4. Find the number of athletes on each team originally.
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Answers:
team one = 162team two = 108=========================================================
Explanation:
The ratio 3:2 scales up to 3x:2x for some positive whole number x.
This tells us that the first team has 3x people and the second team has 2x people. We'll subtract 12 from the first team and add 12 to the second team to represent 12 people moving.
3x becomes 3x-122x becomes 2x+12The new team counts 3x-12 and 2x+12 represent team 1 and team 2. Those expressions are in the new proportion 5:4.
This means....
(team 1 new count)/(team 2 new count) = 5/4
(3x-12)/(2x+12) = 5/4
4(3x-12) = 5(2x+12)
12x-48 = 10x+60
12x-10x = 60+48
2x = 108
x = 108/2
x = 54
From this, we then can say:
team 1 original count = 3x = 3*54 = 162team 2 original count = 2x = 2*54 = 108The two subtotals add to 162+108 = 270 players overall.
If we were to subtract 12 from team 1, and add 12 to team 2, then,
team 1 new count = 162-12 = 150team 2 new count = 108+12 = 120The ratio 150:120 then reduces to 5:4 when we divide both parts by the GCF 30. This helps confirm we have the correct answer.
Answer:
162 athletes108 athletesStep-by-step explanation:
Each ratio can be expressed using two numbers that have the same sum. The sum in the first given ratio is 3+2 = 5, and in the second ratio, it is 5+4 = 9. The least common multiple of 5 and 9 is 45, so we can express both ratios so they have a sum of 45:
3 : 2 = 3(9) : 2(9) = 27 : 18
5 : 4 = 5(4) : 4(5) = 25 : 20
Here, we observe that the second ratio has numbers that look like 2 was moved from the numerator to the denominator. (27 -2 = 25; 18 +2 = 20) The problem statement tells us 12 athletes were moved, so multiplying the first ratio by 12/2 = 6 will tell us the numbers of players on each original team:
first team = 27×6 = 162 athletes
second team = 18×6 = 108 athletes
Find the total cost with sale tax.
Holly has $15 to buy a gift for her brother. She found a stuffed animal that cost $12.50. With 10.1% sales tax added on, what is the sale tax? What is the total cost of the stuffed animal with tax included? Will holly have enough money to buy the gift?
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Two quantities are related, as shown in the table:
x y
2 3
4 4
6 5
8 6
Which equation best represents the relationship?
A. y = 1/2x + 2
B. y = 1/2x + 1
C. y = x + 2
D. y = 2x + 1
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Answer:
B. y = 1/2x + 1
Step-by-step explanation:
y is added up by 1, while it is split 1/2 from x.
hope this helps.
PLEASE HELP I AM TIMED !
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Answer:
the graph does not represent a function
1. A ball is dropped from a height of 256 feet. After it hits the ground, it rebounds to a height that is 75% of its previous maximum height. Use proportional reasoning to complete the table.
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Answer:
85.3333333333
Step-by-step explanation:
I think because all you have to do is 256÷3 because 75% is 3 quarters
Describe in detail how you would create a number line with the following points: 1, 3.25, the opposite of 2, and – (–4fraction of one-half). Please be sure to describe on which tick marks each point is plotted and how many tick marks are between each integer. It may help for you to draw this number line by hand on a sheet of paper first.
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Answer:
points 4 , 1 ,25 , opposite of 3 , -1/2To Find
Step-by-step explanation:
please I need help with this:) 12 points!!
Will give brainliest to the correct answer!1.
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Answer:
Part A: -1/4
Part B: 2/5
Step-by-step explanation:
A phone company advertises a new plan in which the customer pays a fixed amount of $ 25 per month for unlimited calls in the country and $ 0.10 per minute for international calls . Write an equation for the monthly payment a customer pays according to the new plan . Use y for monthly payment , and x for international minutes.
Type the equation in the form y=ax+b without using any spaces. Write any decimals in the form 0.00
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Answer:
y = a(.10) + 25
Step-by-step explanation:
Using the equation y = ax + b.
"$25 per month for unlimited calls in the country and $0.10 per minute for international calls."
The word "per" indicating that you are multiplying this.
The only variables being multiplied are a and x.
Thus, a is the amount of minutes, x is the cost of international calls and b is the cost of unlimited calls.
If the distance between the wall and the bottom of the plywood was three feet, what was the distance between the floor and the top of the plywood?
What is 16−−√?
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Answer: 4
Step-by-step explanation:
The square root of 16 is 4 , because 4 squared is 16.
Answer:
4
Step-by-step explanation:
*Brainly Deleted this Answer* Why?
What is the perimeter of a rectangle with a length of 15 ft and a width of 32 ft?
A. 47 ft
B. 55 ft
C. 94 ft
D. 480 ft
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Answer:
C) 94 ft
Step-by-step explanation:
The perimeter of a rectangle's formula is:
[tex]P = 2l + 2w / P = 2(l+w)[/tex]
I will use the second formula.
We are given the length of 15ft and a width of 32 ft.
[tex]P = 2(15 + 32)\\\rule{150}{0.5}\\P = 2(47)\\\\P = \boxed{94}[/tex]
The answer should be C.
Hope this helps.
Answer:
C. 94 ft.
Step-by-step explanation:
15*2=30 to find the length32*2=64 to find the width30+64=94 to find the perimeterTherefore, the answer is 94 ft.A circle with radius 3 centimeters is cut from a square piece of felt.The sides of the felt square are 8 centimeter long. How much felt is left over? use 3.14 for π. Show your work.
please try to answer this asap
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3.14 x 3 =9.42
8 x 4 = 32
32-9.42= 22.58cm squared
I think this is correct, I’m not sure
wich data set could be repersented by the blox plot shown down below?
pick a b c or d
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What is the perimeter of the square?
A. 17 ft
B. 34 ft
C. 48 ft.
D. 68 ft.
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Answer:
P = 68 ft
Step-by-step explanation:
The perimeter of a square is given by
P = 4s where s is the side length
P = 4(17)
P =68
P = 68 ft
Answer
D 68 ft.
Step-by-step explanation:
study island diagnostic question
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Answer: im rlly srry i need points but i will try my best
Step-by-step explanation:
the 3rd bar on componey 3 is longer than any other 1
Riley started selling bracelets. During the first month she sold 400 bracelets at $10 each. She tried raising the price, but for every $0.50 she raised the price, she sold 8 fewer bracelets. What price should she charge in order to make the highest possible gross income?
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Answer:
b 12.50
Step-by-step explanation:
The temperature on the ground during a plane's takeoff was 4*F. At 38,000 feet in the air, the temperature outside the plane was. Find the difference between these two temperatures , and enter the number only. 4 degrees * F; - 34 degrees * F
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Answer:
-22*F
Step-by-step explanation:
The answer is -22*F because you are subtracting -7*F from -29*F.
Answer:
-22
Step-by-step explanation:
Find m(x) = f(x) * h(x)
Values - f(x) = -3x + 6; g(x) = 7x -5; h(x) = -2
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Answer:
Step-by-step explanation:
HELP I WILL GIVE BRAINLIST AND EXTRA POINTS!!! Johnny ate 55 cookies his friend made 72 cookies after Johnny 855 cookies. His friend made 53 point72 5 more cookies. How many cookies did Johnny's friend make ?
Write 3 complete sentences.
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Answer: he will have only one cookie left
Step-by-step explanation:
Answer:90
Step-by-step explanation:
let the number of cookies be x
let the number of friends by y
x - 5y = 0
x - 3y = 36
subtract them:
-2y = -36
y = 18
x - 5(18) = 0
x = 90
John has 90 cookies.
Marcus can choose between a monthly salary of $1,500 plus 5.5% of sales or $2,400 plus 3% of sales. He expects sales to be $7,500 a month. Which salary option should he choose? Explain.
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Answer:
Salary option #2($2400+3.3%)
Step-by-step explanation:
Salary option #1=1500+(5.5% of 7500)
=$1912.50
Salary option #2=2400+(3% of 7500)
=$2625
Answer:
Using the mean sales value $2400 basic + 3% commision is the better deal
Step-by-step explanation:
As the sales figures are not fixed to a single value lets use the mean (average) value:
In statistics the notation use for this is as follows:
Let the sales value be
x
Then the mean sales value is:
7500
mark as brainliest? :)
Drag and drop the fractions to order them from least to greatest.
-3/7
-4/5
2/3
1/4
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Answer:
-4/5, -3/7, 1/4, 3/2
Step-by-step explanation:
I took the test these are the right answers
Find the total cost with sales tax.
Markup (tax) = percent markup (tax %) x original cost ($)
Total cost = original cost + sales tax
Courtney has $21.50 to buy a gift for her brother. She found a stuffed animal that costs $19.65. With 10.1% sales tax added on, what is the sales tax? What is the total cost of the stuffed animal with tax included? Will Courtney have enough money to buy the gift?
The sales tax is: $_________
The total cost is: $_________
Is it enough money?
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Answer:
Sales tax: 1.98465 which in this case is $1.98 (take note that you can round and it would be $2)
The total cost: $21.63 so no, Courtney cant buy the stuffed animal :(
Step-by-step explanation:
You can find the sales tax by dividing 10.1 by 100 to get 1.984...then rounding that number to get $1.98 since we are working with money in this problem then we have to find the total cost by adding our sales tax ($1.98) to our original cost ($19.65) to get our FINAL answer of $21.63
Hope this helped!!!!!
(i would appreciate being marked brainiest but it is ok if you don't)
Anand goes out to lunch. The bill, before tax and tip, was $10.80. A sales tax of 6.5% was added on. Anand tipped 24% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip?
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Answer: 20.41
Step-by-step explanation: step 1: (10.80 * 0.65) + 10.80 = 17.82
step 2: (10.80 * 0.24) + 17.82 = 20.41
An object is traveling at a steady speed of 9 9/10 km/h. How long will it take for the object to travel 2 1/10 km? First round to the nearest integer to find the estimated answer. Then find the exact answer. (I don't know what I'm doing.)
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Answer:
7/33
Step-by-step explanation:
9 9/10= 99/10
2 1/10= 21/10
21/10 / 99/10 = 21/10 x 10/99 = 210/990 = 21/99 = 7/33
Answer:
12
step by step
I got it wrong and it said the answer is 12
Please use the pic and help me :)
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48 * (1/3), equals 16
She wants to be 1/3 Of(multiply)
Answer:
16 feet
Step-by-step explanation:
Since Breanna's mom's garden is 48 feet in length, we can multiply that by 1/3 or divide by 3 to get the length of Breanna's garden. 48 / 3 = 16, so the answer is 16 feet.
PLEASE HURRY
what % of 98 is 13?
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Answer:
12.74
Step-by-step explanation:
give brainliest please
Answer:
7.538461538461538 % of 98 is 13
Step-by-step explanation:
Use the position-to-term rule to work out the first four terms of each sequence.
A. Term =position number + 5
B. term = 3 * position number -1
C. Term = position number to the power of 2+ 4
D. term = 3 *position number to the power of 2
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B. 2, 5, 8, 11
C. 5, 8, 13, 20
D. 3, 12, 27, 48
Answer:
A. 6, 7, 8, 9 ;
B. 2, 5, 8, 11 ;
C. 5, 8, 13, 20 ;
D. 3, 12, 27, 48;
Bots have answered this for the past two times but I still need help. The question is below.
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Answer:
a. False
b. True
c. True
d. I think it's true
e. False
Step-by-step explanation:
a. The unit rate is 19.75 gallons per minute
b. It is true because when x=0 y is also equal to 0, therefore it passes through the origin
c. 19.75 is about 20, and 20 multiplied by 5 is 100
d. Like I said before I don't know but I hope you get it correct ._.
e. When x=8 the equation would be 19.75*8 which is equal to 158 not 150
True
true
true
False
A middle school has an oval track with the dimensions shown. What is the distance around the track? use 3.14 for π. show your work.
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plz helppp!!!!! I NEED IT NOWW !!!!!!!!!!!!!!!!
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Answer:
A
Step-by-step explanation:
Joe drove 538 miles in 9 hours 15 minutes. What was his average speed per hour? Round to the nearest whole number.
The First-person to answer gets brainliest.