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
24 is 0.2% of what number?
Answer:
12,000
Step-by-step explanation:
Please use the pic and help me :)
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.
Proportional relationship between x y cabbage
Answer:
10 pounds cost $4.00
Step-by-step explanation:
PLEASE HELP FAST! DUE TODAY AND CANT HAVE A 0!
Answer:
ok so i think it is 5/9
Step-by-step explanation:
both equal 0.5 in decimal point
Answer:
The last option is correct
Step-by-step explanation:
Eg: i take -4/9
If your answer id 4/-9 , the negative sign will always go on the top so answer will be -4/9
Thus its similar
Hope you understood
if not I will explain again !
Your welcome !
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.
The distance around the oval track would be 556.9 m which is the sum of the perimeter of the square and the circumference of the semi-circles.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
We have to determine the distance around the track
The required distance is equal to the sum of the perimeter of the square and the circumference of the semi-circles.
A middle school has an oval track with the dimensions shown.
Here the length of a side of the square = 78 m
And the diameter of the circle = 78 m
the distance around the track = perimeter of square + circumference of the circle
the distance around the track = 4 × 78 + π × 78 / 2 + π × 78 / 2
the distance around the track = 4 × 78 + π × 78
the distance around the track = (4 + π) × 78
the distance around the track = (4 + 3.14) × 78
the distance around the track = 7.14 × 78
the distance around the track = 556.9 m
Therefore, the distance around the oval track would be 556.9 m.
Learn more about the Circumference of the circle here:
brainly.com/question/19794723
#SPJ5
Fiona is taking some time to balance her check register at the end of the month. Use the check register to answer questions for 6 and 7. Based on the transactions, what was the balance in Fiona’s account after she deposited her birthday gift on 6/4?
$780
$690
$340
$430
Hi, I need some help with the last question of the first problem and the answer to the second page.
Answer:
46.9 for the first one
Step-by-step explanation:
So sorry if i'm wrong <3
Which measure of spread is the most appropriate for the data set represented by the graph?
A.
range
B.
quartiles
C.
interquartile range
D.
mean absolute deviation
it is not D.
E.
either range or interquartile range
Answer:
B
Step-by-step explanation:
becasue the guy above is correct
HELP DUE AT 9:00 PM!
what is 54 x 67 ? Plz help!!!!
Answer:
3618
Step-by-step explanation:
Can someone help me with these?
Answer:
1:100 and 1:14
Step-by-step explanation:
Answer:
It’s 1:100 and 1:14
Wish its the right Answer
2/5 divided by 6/7 in FRACTION FORM
no links, out of context answers, or vile comments, ty
Answer:
Step-by-step explanation:
Find the reciprocal of the divisor
Reciprocal of
6/7 : 7/6
Now, multiply it with the dividend
So, 2/5 ÷ 6/7 = 2/5 × 7/6
= 2 × 7/5 × 6
= 14/30
After reducing the fraction, the answer is
7/15
10 divided by 2 pa answer po grade 3 po ako
Answer:
10 divided 2 is 5 this is correct
Step-by-step explanation:
hope it help
HELP PLEASE!
Which diagram represents a fraction equivalent to 40%?
Answer:
2/5. hope this helps.
Step-by-step explanation:
2/5 has a decimal of 0.4, and the percentage is 40%.
please I need help with this:) 12 points!!
Will give brainliest to the correct answer!1.
Answer:
Part A: -1/4
Part B: 2/5
Step-by-step explanation:
Pls help i don't get this. I will give brainliest
Rick paints a circular table that has a diameter of 16. What is the area of the table?
Answer:201.06
Step-by-step explanation:
area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
Radius of table = d/2 = 16/2 = 8
The area of the table = 8^2 x [tex]\pi[/tex] = 64[tex]\pi[/tex] = 201.06 (2.d.p)
what is (0.25) x (1.4)
Answer:
0.35
tep-by-step explanation:
PLZ HELP AS SOON AS POSSIBLE!!!!!!!!! WILL GIVE LIKE, 5 STARS, & BRAINLIEST; THE WHOLE SHEBANG;
Part 1
Meg is a veterinarian. She found that 5 or, 50% of the dogs she saw this week were boxers. Steve is also a veterinarian. He found that 50% out of the 2 dogs he saw this week were boxers. Does each person need to find the part, the whole, or the percent?
Question content area bottom
Part 1
Meg needs to find the
▼
percent.
part.
whole.
Part 2
Steve needs to find the
▼
percent.
part.
whole.
Answer:
Part 1: meg needs to find the whole
Part 2: steve needs to fing the part
hope this helped!
An employee earns a 25% commission rate on his sales. One day, he earned $175. What was his amount of sales?
Help Please
Answer:
$700
Step-by-step explanation:
25% = 1/4
the sales would be 100% or 4/4
So if commission rate is 1/4, to find the sales we multiply this by 4:
$175*4= $700
The sales would amount to $700
Hope this helps :)
Wich ratio is equivalent to 14:4?
A. 21:8
B. 35:15
C. 49:14
D. 7:3
Answer:
C
Step-by-step explanation:
To calculate the left side of the ratio, our calculator multiplies the right side by 14 and then divides the product by 4. To calculate the right side of the ratio, our calculator multiplies the left side by 4 and then divides the product by 14. Answers are rounded to two decimals if necessary.
Can someone explain to me what this means, I can't quite understand it.
The Ramirez family has a circular garden with a diameter of 22 feet. They cover the garden with mulch. The cost of mulch is $1.25 per square foot. To the nearest dollar, how much will it cost to cover the garden with mulch. Show your work.
A.$380 B. $475
C. $1.520 D. 1.900
Answer:
b) $475
Step-by-step explanation:
if it has a diameter of 22 feet, that means it has a radius of 11 feet
the formula of the area of a circle is πr². so square the radius and you will get 121, multiply that by π and you get 380
Now we know the area is 380 square feet, so multiply that by $1.25 and the answer is $475
i never learned fractions… plz help
Answer:
3/10 ÷ (-4/5) = 3/8 and then for the bottom one is -1 7/8 and for the one in the right is 6 2/5
Can anybody help me with this question and show me how to do it step by step, ASAP?! Btw, this question is for solving systems by elimination. I really need to sleep, and I just want to get a good grade on this.
Carl bought 19 apples of 2 different varieties to make a pie. The total cost of the apples was $5.10. Granny Smith apples cost $0.25 each and Gala apples cost $0.30 each. How many of each type of apple did Carl buy?
Answer:
Step-by-step explanation:
Split 19 into 2, since Carl bought two types of apples.
19/2 = 9.5
0.25 x 9 = 2.25
0.3 x 9 = 2.7
2.25 + 2.7 = 4.95
5.10 - 4.95 = 0.15
0.3 x 8 = 2.4
2.25 + 2.4 = 4.65
5.1 - 4.65 = 0.45
help me plzzzzzz 5 buck
Answer:
The unit rate for the first bag is about 2.50 and for the second bag it is about 2.42. The second bag is the better bag because it has a smaller unit rate.
Step-by-step explanation:
Divide the amount of money by the weight of each bag to find the unit rate.
A i do believe
Step-by-step explanation:
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%
Last two plz help!!(ty for all the help) :
14. Factor the following:
I. b2 + b - 12
j. k2 - 5k + 6
Answer:
I= (b-3) (b+4) J= (k-3) (k-2) :)
Step-by-step explanation:
Answer:
I. (B^2 + B -12) is (b-3)(b+4)
J. K^2 -5K + 6 is (k-3)(k-2)
Hope this helps
- Andrew
Pls answer it i will give brainly and no links pls ty worth 29 points
Answer:
7.5mph (1 d.p)
Step-by-step explanation:
First, I worked out what a third of an hour was to match the unit mph.
60 minutes / 3 = 20 mins
A third of an hour is 20minutes so two thirds of an hour is 40 minutes.
But as we know, one third as a decimal is 0.33(reccuring) so therefore two thirds as a decimal is 0.66, which we need to use.
Now, we need to remember the equation. Speed = distance / time
Place the facts we already know in place.
speed = 5miles / 0.66 (using a calculator.)
speed = 7.5mph (1 d.p)
Hope this helps and you have a good day!
please help me ! I will give 20 points ! ( also have a great day :> )
Answer:
343
Step-by-step explanation:
7 * 7 * 7
7 * 7 = 49
49 * 7 = 343
Yohanna is conditioning all summer to prepare for her high school’s varsity soccer team tryouts. She is incorporating walking planks into her daily training plan. Every day, she will complete five more walking planks than the day before. Yohanna starts with four walking planks on the first day. Write an explicit formula that can be used to find the number of walking planks she completes on any given day. Use the formula to calculate the number of walking planks Yohanna will do on the 11th day?
Answer:
[tex]X+5[/tex] ; On the 11th day she will do 53 planks
Step-by-step explanation:
Day: # of planks:
1st : 3
2nd: 8
3rd: 13
4th: 18
5th: 23
6th: 28
7th: 33
8th: 38
9th: 43
10th: 48
11th: 53