PLEASE HELP 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.

Answers

Answer 1

Answer:

You can use the method of substitution and elimination.

Team A : Team B

        3x : 2x

       -12   +12

        5y : 4y

3x-12=5y ---> (1)

2x+12=4y ---> (2)

12x-48=20y

10x+60=20y

12x-48=10x+60

12x-10x=48+60

           = 108

2x=108

x=54

Original number of athletes on Team A = 3(54)

                                                                  = 162

Original number of athletes on Team B = 2(54)

                                                                    = 108

Answer 2
3,6,9,12= 4
2,4,6,8,10,12= 6

So it is 4 and 6

Related Questions

Plz answer this
What is the sum of all positive integer solutions less than or equal to $20$ to the congruence $13(3x-2)\equiv 26\pmod 8$?
Sorry about LaTeX

Answers

1

pls mark me as BRAINLIEST

Answer:

36

Step-by-step explanation:

AoPs Is FuN. You were doing the right thing just finish solving if u need explanation comment

1 million to the power of 10

Answers

1 x 10 ^60 …………………………..

Step-by-step explanation:

The answer of 1 million to the power of 10

= 1e+60

6 3/7 minus 1 3/6 equals _?

Answers

6 3/7 - 1 3/6 = 69/14 = 4 13/14 ≅ 4.9285714

Hope this helps.

Answer:

umm

Step-by-step explanation:

Compare.

A. <
B. >
C. =

Answers

Answer: A

Step-by-step explanation: this was on my test so here is the answer

Answer:

i believe its A

Step-by-step explanation:

Write the phrase as an expression. Then evaluate the expression when $y=20.

3 less than the quotient of a number y and 4

Answers

y/4-3 y=20 the answer is 2

Answer:

20/4 -3, which equals 5-3, or 2

Step-by-step explanation:

3 less than= -3

the quotient of a number y and 4, with y being 20= 20/4

Divide: 20/4 = 5

combine the terms, either 5-3 or -3 +5, you'll end up with 2 either way

(Please answer this Plz nothing not essential) What is the sum of all positive integer solutions less than or equal to $20$ to the congruence $13(3x-2)\equiv 26\pmod 8$?

Answers

Answer:

$13(3x-2)\26\ $8 is less than twenty dollars.

Step-by-step explanation:

Just trust me I don't know how to explain I just do it.

$(3x-2)\26\$8 is less than $20

please help me I need help this is due today.

Answers

Step-by-step explanation:

the equation is y=mx + b. the m (or the thing that comes before the x in the equation) is your slope, the y intercept is the last number. if the last number is preceded by a minus sign, the intercept number is negative

Answer:

For example, number 1's slope is 5/3.  On a graph, you would go up 5 (not in block, but in numerical value) and right 3.   The y-intercept is -2.  This is where your line starts on the graph.

Step-by-step explanation:

y=mx+b       b= y-intercept   y-intercept=where the line crosses the y-axis    m=slope         slope== rise/run or slope formula, m=y2-y1/x2-x1

WILL MARK BRAINLIEST!!!!!!!

There are 32 more pupils in the Robotics Club than in the Art Club. The number of pupils in the Robotics Club is 18 less than 3 times the number of pupils in the Art Club. How many pupils are there in the Robotics Club?

Answers

Answer:5. There are 32 more pupils in the Robotics Club than in the Art club.

Step-by-step explanation:

Answer:what

Step-by-step explanation::>

On the first visit to the veterinarian's office, Cora's kitten weighed 550 grams. On the second visit, the kitten had gained 350 grams. On the third visit, the kitten had gained another 300 grams.
What is the percent increase since the first visit in the kitten’s weight rounded to the nearest percent?


PLSS HELPP

Answers

Answer:

On first visit, weight =550 g

Weight gained on second visit= 350 g

Weight gained on third visit= 300 g

Present weight=550+350+300= 1200

Weight gained=1200-550=650

Percentage of weight increased

-------->650/550 × 100 = 118.18\%

So the kitten gained 118% weigh

Step-by-step explanation:

can someone help me with this please ? D: 7th grade math

Answers

Answer:

2

Step-by-step explanation:

-6*-9=54

-9/-3=3 and 3 cubed=27

54/27=2

for this problem you would to order of operations:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract

(-9/-3)=3
3^3=9
-6*-9=54
(a negative times a negative is a positive)
54/9
6!!!
hope this helps! have a great day!!!

Plz, help! Plz, write answer in complete sentences!

Answers

Answer:

18

Step-by-step explanation:

If 4050 divided by the mystery number is 225, then 4050 divided by 225 is the mystery number. 4050 divided by 225 = 18, so 18 is the mystery number.

The answer is 18!


Step by step:
So 4050 divided by that unknown/ mystery number is 225. Now you do 4050/225 and your total is 18!!

Write the following set in set-builder notation "B = {-3, -2, -1, 0, 1, ...}"*

Answers

Answer:

  This set as Builder Form is given below:

B= {x|x E Z}

The answer is two because it’s going -3 -2 negative one then positive zero positive one positive two answers to

Meghan ran nine twelfths of a mile and skipped eight twelfths of a mile around a track. How far around the track did Megan go in total? Use the benchmark fraction one half , 1, and 0 to help you estimate each answer before you solve. a one twelve mile b one and five twelfths miles c one and seven twelfths miles d twelve seventeenths mile

Answers

Answer: megan went a total distance of 1 5/12 miles or 17/12 (use which ever you need)

Step-by-step explanation:

Here, we want to calculate the total distance worked around the track

We are told that she ran 9/12 and skipped 8/12

The total distance around the track will be the sum of these two

Mathematically, that will be;

9/12 + 8/12= 17/12 but if wanted in mixed fraction [tex]1\frac{5}{12}[/tex]

Okay so, we want to add both 9/12 and 8/12 which will lead us to 17/12! Now since this is an improper fraction we turn it into a mixed number (if you need to) and the mixed numbers is 1 and 5/12!

A bag of marbles contains 35 blue marbles and 15 green marbles. Which of the following shows the decimal of the fraction of green marbles in the bag?

Answers

Answer:

15.35

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

We know the bag has 50 marbles total: (35+15=50)Now, put 15 over 50 to make it a fraction: (15/50)Finally, we figure that 15 divided by 50 equals 0.3.Thus, our answer is 0.3!

If the population of an ant hill doubles every 10 days and there are currently 100 ants living in the ant hill, what will the ant hill population be in 20 days?

Answers

Answer:

400

Step-by-step explanation:

The current number is 100, it doubles every ten days, and you're asking what the size will be in twenty days.

Beginning:

100 ants (ten days pass)

100 x 2 = 200

Middle:

10 of the 20 days have passed

Your new number is 200 ants

End:

200 ants (ten days pass)

Since every ten days the size doubles: 200 x 2 = 400

400 ants after 20 days

there would be 400 ants in the hill

PLEASE HELP!
You are camping and have only a 3 cup container and a 5 cup container. You need to measure 1 cup of water into a pot. How can you do this? Is there more than one way? Explain.

Answers

Answer:

Step-by-step explanation:

If complete precision is not needed:

1.  Fill the 5 cup container with water.

2. Pour out just enough into the 3 cup container to fill it.

3. The water left in the 5-cup container will measure 2 cups.

4.  Estimate half of this two cups of water.

A factory that manufacturers school supplies will not sell any ruler whose actual length is more than 0.05% different than it's intended length.

Determine the smallest possible length of a 12-inch ruler that would meet this qualification. inches​

Answers

Answer: 11.994

Step-by-step explanation:

0.05%(0.0005) x 12 = 0.006

12 - 0.006 = 11.994 inches

Last week, Adriana made a batch of peanut butter ice cream from scratch. She used 2 cups of peanut butter and 6 cups of cream. It was so good that she made another batch this week. This time, she used 3 cups of peanut butter and 9 cups of cream. Which batch had a stronger peanut butter flavor?

Answers

Answer:

They are the same

Step-by-step explanation:

Both times they used the ratio of 1:3 for the peanut butter to cream, so they will taste the same.

Answer:

Both ice cream have the same ratio

The table shows values for a linear function, f (x ). What is an equation for f (x )?
Select the two values into the correct location.

Answers

Answer:

c

Step-by-step explanation:

I took the test

it's "C" . i took that test a few years ago ahah. good luck with it

Evaluate 1/5y + 4/15 when y = 1/3

Answers

Answer:

= [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

First, plug-in y for 1/3 since y = 1/3

[tex]\frac{1}{5} (\frac{1}{3} ) + \frac{4}{15}[/tex]

then multiply first according to the order of operations, then do the addition:

[tex]\frac{1}{5} * \frac{1}{3} =\frac{1}{15}[/tex]

[tex]\frac{1}{15} + \frac{4}{15}[/tex] = [tex]\frac{5}{15}[/tex]

then reduce:

[tex]\frac{5}{15} \to \frac{2}{3}[/tex]

Answer is 1/3
Here’s my work shown

Answer the following questions.

Answers

Answer:

kenzie can only buy 2 sets of scrunchies unless she can buy half then it would be 2.5.

Step-by-step explanation:

20 scrunchies = $3.00 meaning= $3.00+$3.00 = 6 dollars. Anymore would be over the limit of money she would be able to use for the scrunchies.

Here I’ll send you the link to the link

plz help meeeeeeeeeeeeee

Answers

after 6 weeks: 48kg
after 12 weeks: 21kg
w=15
function rule: r=2
I have no idea… sorry!

PLS I NEED HELP ASAP

Answers

Answer:

(-13.5, 4.5)

Step-by-step explanation:

What is the y-intercept of the line shown? (4 points)
A. 0

B. 1

C. 3

D. 3.5

Answers

Answer:

The answer is where on the y-axis (vertical probably bold axis) the line passes through. If it goes through the center of the graph the answer is 0.

Can't really help more than that with the given information.

C. 3 ifjrnjfhfnrkkbfjdodidnodhdbd

What is the measure of the exterior angle? Show all steps.

Answers

Answer:

108 degrees

Step-by-step explanation:

The thereom for this is the interior angles (a+10) and 44 degrees add up equaling to 2a. This works for any triangle like this. So, a+10+44=2a, and we solve for a to 54 for a. Then we insert a as 54 for 2a to get 54*2=108 degrees.

The answer is 108 degrees

The diameter of each wheel of the car is 80 cm. How many complete rounds does each wheel rotate in 10 minutes when the car is moving at 60 km / h?

Answers

Answer:

The answer is 140cm

A picture shows a roof of a house. It has a right triangle-shaped with the base of 12 feet as span and height of 4 feet as height of roof. The hypotenuse of the triangle is the slope of the roof.
The pitch of the roof is

Answers

Answer:

Step-by-step explanation:

Pythagorean Theorem:[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]12^{2} + 4^{2} = c^{2}[/tex]

144 + 16 = [tex]c^{2}[/tex]

160 = [tex]c^{2}[/tex]

Square root 160

12.6491106 = c

Round to the nearest whole number

13=c

If Mia can run 15 laps in 24 minutes, how many minutes will it take her to run 20 laps

Answers

Answer:

15=24

20=x

cross multiply

15x=24*20

15x=480

divide both sides by 15

x=480/15

x=32

it will take her 32 minutes

Answer:

32 minutes

Step-by-step explanation:

24/15 = 1.6 laps per minute

1.6 * 20 =  32 minutes

Find the product of 51 and -2.5.

Use the distributive property to rewrite and solve.

The first step is done for you.

51(-2.0) + 51(-0.5)

What is the next step in using the distributive property to solve this equation?
A) -102 + 25.5
B) 102 + (-25.5)
C) -102 + (-25.5)
D) -102 + (-25)

Answers

Answer:

A. -102 + 25.5.

Step-by-step explanation:

After multiplying 51 by -2.0, you will get -102. When multiplying 51 by -0.5, you get 25.5. A is the next step in this equation. (Optional answer: read this when this is also in your quiz. -102 + 25.5 = 127.5).

hope this helped.

A. -102 + 25.5
Hope this helps!

You have a meal at a restaurant. The sales tax is 8%. You leave a tip for the waitress that is 20% of the pretax price. You spend a total of $23.04. What is the pretax price of the meal?

The pretax price of the meal is $_______

Answers

Answer:

$18

Step-by-step explanation:

I multiply the tax by the pretax price of the meal, and I get 8% * xI multiply the tip by the pretax price of the meal, and I get 20% * xI make an equation, and make sure to add the original x2/25x + 1/5x + x=23.0432/25x=23.04x=18Therefore, the pretax price of the meal is $18
$18!!!!!!!!!!!!!!!!!!!!
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