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
Please please help me
Answer:
16. -y<6
18.t<=-2
20.b<-3/7
22.d>-2.8
Step-by-step explanation:
Answer:
7, 8 ,8
Step-by-step explanation:
they are rite
A 6-pack of beaded necklaces costs $12.78. What is the unit price?
$____ per necklace
Please help!! will give brainliest to the correct answer!!
Thanks,
:)
The unit price for 1 pack of beaded necklaces is $2.13.
What is unit price?The unit price refers to the price per unit of measures, such as price per pound, quart, ounce, or other units of weight or volume of the food package.
Given that a 6-pack of beaded necklaces costs $12.78.
We need to find the unit price, for the same.
So the unit price will be calculated by dividing the total cost by number of packets,
= 12.78/6 = 2.13
Hence the unit price for 1 pack of beaded necklaces is $2.13.
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what is 9x-4y if x= -7 and y= -6
Answer:
-39
Step-by-step explanation:
Plug the x and y variables in
9(x)-4(y)
9(-7)-4(-6) = -39
Answer:
(Steps below)
Step-by-step explanation:
9x -4y
9(-7) - 4y
9(-7) - 4(-6)
-63 - 4(-6)
-63 - -24
=
-39
HOPE THIS HELPEDDDD :DDDD
I = prt
Time = 3 years
Interest Rate = 5%
Principal = $7,430
Use the information to answer the question.
How much interest is paid?
1.$111.45
2.$1,114.50
3.$11,145
4.$111,450
Help Please
Step-by-step explanation:
S.I = PRT
=$7430×(5÷100)× 3
=$1114•50
HELP ME PLEASEEEE ASAP
Answer:
C
Step-by-step explanation:
Remember that you flip the signs whenever you divide an inequality by a negative.
So here we divide both sides by negative four and then scan the signs to get
x ≥ -8
You mix 23.385 grams of sugar and 12.873 grams of baking soda in a glass container for an experiment. You place the container on a scale to find that the total mass is 104.2 grams. What is the mass of the container
The mass of the container is 67.942 grams.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that amount of sugar is 23.385 grams, the amount of soda is 12.873 and the total mass is 104.2 grams.
The weight of the container will be calculated as below:-
Total weight of sugar and sods = 23.385+12.873=36.258
Weight of container = 104.2-36.258=67.942
Weight of container = 67.942 grams
Therefore, the mass of the container is 67.942 grams.
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Mr. Quick bought a new computer system. The regular price was $1,580, but he got a 15% discount. How much did he actually pay?
Answer:
$1343
Step-by-step explanation:
Mr. Quick bought a new computer system. The regular price was $1,580, but he got a 15% discount. How much did he actually pay?
You need to turn 15% into a decimal.
Move the decimal point to the left 2 spaces.
15 ---> 1.5 ---> 0.15
Now multiply 0.15 by $1,580.
0.15 × $1,580
Which is $237.
Now subtract $1580 - $237.
Which is $1343.
Answer:
$1580*15/100=$237that is discount rate.
$1580-237=$1343 actually pay
please hurry up .......
The answer is most likely D.
i need help and fast
The table below shows the transportation method of employees at a certain company. What percent of employees walk to work ?
PLS PLS SHOW HOW U SET UP THE PROBLEM DONT JUST GIVE THE ANSWER WITHOUT SHOWING THE WORK ITS DUE IN A FEW HOURSS PLS
Write the phrase as an expression. Then evaluate the expression when y=20.
3 less than the quotient of a number y and 4
2 is the answer to this question
Giselle pays $279 in advance on her account at the athletic club each time she uses the club $29.99 is deducted from her account. Which answer models her question best
Y = 279(29.99)^x
Y = 279(-29.99)^x
Y = 29.99x - 279
Y = -29.99x + 279
Answer:
Step-by-step explanation:
B is correct. Your starting amount is 210$ And you're taking away 15$ each time she uses the club,x.
Tyler bought 14 tickets to a basketball game. The group rate saved him $5.25 per ticket. He paid a total of $283.50 for the tickets.
What was the regular price of a ticket to the game?
Enter your answer in the box
25.5
Step-by plantation:
283.50 divide by 14 = 20.25
then take 20.25 and add 5.25 = 25.5
multiply by 14 = 357 total without discount
Min saved 334 pennies. Rami saved 6 times as many pennies as Min.
How many pennies did Rami save?
??pennies
Answer:
2004
Step-by-step explanation:
Describe how to determine if a number is a solution to an equation.
Step-by-step explanation:
Determine whether a number is a solution to an equation.
Substitute the number for the variable in the equation.
Simplify the expressions on both sides of the equation.
Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.
Hoped that helped:P
Look at this picture and answer plz
Answer: First top box is 2400, 2nd top box is 120
423x6 = 2400 + 120 +18 = 2538
Step-by-step explanation:
select the correct expression.
Answer:
D
Step-by-step explanation:
All we need to know is that there are 2 PASTRIES, this makes it to where we can exclude any equation multiplying against two tea cups. Thus making D the only answer correct.
Reduce to simplest form.
12/11 - (-2/3) =
Answer:
58 /33
Step-by-step explanation:
Use math-way for math questions:)
Answer:
58/33
Step-by-step explanation:
24 is 0.2% of what number?
Answer:
12,000
Step-by-step explanation:
HELP ASAP!!! SO CONFUSING!!!
[tex]n\cdot \:e\cdot \:v^e\frac{r}{14}g\cdot \:o\cdot \:n^n\cdot \frac{a}{15}g\cdot \:i\cdot \:v\cdot \frac{e}{1509}=231847921387[/tex]
GIVING BRAINLIEST!!!
HELP ME PLZ!!! THIS IS DUE IN 15 MINUTES! NO LINKS!!![tex]n * e * v \frac{er^g^o}{nna} - g - i + v * e^y^-^o + u - u^p = 250[/tex]
Answer:
nice
Step-by-step explanation:
never gonna let you down
I don't understand this.
859 ÷ 3 = (286.3333333...) 286 R 1
The quotient (integer division) of 859/3 equals 286; the remainder (“left over”) is 1.
hope this helpss
p.s. can you mark me as the brainliest?
Alan wears his coat when the temp is colder than -4.c
write an inequality that i true only for temps(t) at witch Alan wears his winter coat
Answer:
T<-4.c
Step-by-step explanation:
If it’s “less than” then the stated number is the highest number that you can have
About 6% if the golf course in the united states are in florida. in 2008 there 17,151 golf courses in the united states, about how many of them are in florida?? Please help nowwwww!
Answer:
Step-by-step explanation:
hope that help you
Answer:
1029.06
Step-by-step explanation:
You need to change 6% to a decimal
6% = .06
Then multiply .06 by 17,151
0.6 times 17,151 = 1029.06
To Check:
1029.06 out of 17,151
That's pretty much equal to 1/17
As a percentage, 1/17 is 6%
pls help worth a lot of points best answer gets brainiest
Answer:
21/16 gallons per minute
Step-by-step explanation:
HOPE YOU HAVE THE BEST WEEKENDDDD
Match the expression after you replace each variable.
a = 5 b = 6 c = 7
Step-by-step explanation:
ab => (5)(6) = 30
b + 3 => 6 + 3 = 9
a + b + c => 5 + 6 + 7 = 18
3b + 4 => 3(6) + 4 = 22
5a - c => 5(5) - 7 = 18
Terry's father is 76 inches tall. Terry's height is 75% of that height of his father. How tall is Terry?
Answer: Terry is 57 inches tall
Step-by-step explanation:
First, find the percentage . . . what is 75% of 76 ? 57
Look at this picture and answer plz i already got the first part i just need the rest also tell me if the first part is correct Or not
Answer:the first part is correct ok: =80x7+4x7 =560+28 =588
Step-by-step explanation:
find the area of these shapes:
Answer:
4. 25.12 cm²
5. 28.56 cm² (square = 16 cm²) (semi-circle = 12.56 cm²)
Step-by-step explanation:
Michael and Imani go out to eat for lunch.
Part A
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.
Part B
After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.
pls show how you set the problem up this is due soon so pls help!
Answer:
Given : Michael and Imani go out to eat for lunch.
their food and beverages cost $25.30
8% meals tax,
After adding a tip, the total lunch cost was $32.24
To Find : how much is the bill
What percentage tip did they give?
Solution:
food and beverages cost $25.30
8% meals tax,
Tax = (8/100) 25.3 = 2.02 $
BILL = 25.30 + 2.02
= 27.32 $
BILL = 27.32 $
After adding a tip, the total lunch cost was $32.24.
=> Tip = 32.24. - 27.32 = 4.92$
% of Tip = (4.92 / 27.32) * 100 = 18 %
Tip = 18 %
Step-by-step explanation:
Answer:
Part A: $28.46
Part B: 8.5%
Step-by-step explanation:
Part A:
We know that in this equation that 25.30 is the 100% number and we need to find 8% of this.
We can then divide 8 by 25.30 which is 3.1625 but the problem asks us to "round to the nearest cent" so we then know that the 8% is $3.16 we have to then add the 8% to the total which would be: 25.30 + 3.16 which equals $28.46 which is your answer to Part A.
Part B:
After adding a tip that problem states that the total went up from $28.46 to $32.24 to find out how much they tipped we can minus these 2 totals to find the difference
32.24 - 28.46 = 3.78
We now know that they tipped $3.78 and we now need to convert this into a percentage.
Right now the whole 100% is $32.24, we then divided 32.24 by 3.78 which would be 8.5291 and so on but wo round this it would be 8.5%
The answer to Part B would be 8.5%