Step-by-step explanation:
Let the athletes be 3x and 2x.
Now, By the question we get,
(3x-12)/(2x+12) = 5/4
or, 12x-48= 10x+60
or, 2x = 108
so, x = 54
now
3x= 3×54= 162
2x = 2×54=108
The number of athletes were 162 in first team and 108 in second team originally.
x is the number of athletes on first team originally ( x > 12, x ∈ Nˣ )
y ----------------------------------------second------------------( y ∈ Nˣ )
The ratio of athletes in the two teams is 3:2
⇒ [tex]\frac{x}{y} =\frac{3}{2}[/tex] (1)
After 12 athletes move from first team to second, the ratio is 5:4
⇒ [tex]\frac{x-12}{y+12} =\frac{5}{4}[/tex] (2)
(1),(2) ⇒ [tex]\left \{ {{\frac{x}{y} =\frac{3}{2}} \atop {\frac{x-12}{y+12} =\frac{5}{4}} \right. <=>\left \{ {{x=162} \atop {y=108}} \right.[/tex]
So: The first team originally has 162 numbers and the second team originally has 108 numbers
ok done. Thank to me :>
(TWO PART QUESTION - please answer both)
!! WORTH 60 POINTS !!
A recipe for cake calls for 3/4 cup of sugar and 2 cups of flour.
a. How much sugar would be needed for 1 cup of flour?
b. Write an equation to represent the relationship between s ; sugar, and f ; flour.
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)
Write an algebraic expression to find the number of seconds in n minutes.
n ÷ 60
60 + n
60 ÷ n
60n
Answer:
60n
Step-by-step explanation:
The ratio of the interior angle measures of a triangle is 2:3:5. What are the angle measures?
In order from the smallest angle to the largest angle, the angle measures are __°, __°, and __°.
Show all steps.
Answer:
36:54:90
Step-by-step explanation:
you add all the parts together (2+3+5) which is 10. then you divide 180 by 10 because angles in triangle add up to 180. so 18 is one part
then you just times 18 by each part in the ratio
A number is divided by 50 has a quotient of 12 with a remainder of 16. What is the number?
Answer:256 i think
Step-by-step explanation:
Hope this helped
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
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:
I have a picture of my question please answer this
Thanks a lot for all your help
Answer:
12p = 420
Step-by-step explanation:
x = 2 y = 3 z = 4
Evaluate the Expression using the solutions above: 9x + y
21
95
9
56
Answer:
95
Step-by-step explanation:
For example, let's say with have the equation
x
+
5
When
x
=
1
, then
x
+
5
=
6
When
x
=
2
then
x
+
5
=
7
Hope that was helpful.
when keisha installed a fence along the 200 feet perimeter of her rectangular back yard she left and opening for GATE in diagram below she used X to represent the length of the gate
Perimeter of her rectangular back yard is: 200 ft
⇒ 2(30 + 60 + x) = 200
⇒ 30 + 60 + x = 200/2 = 100
⇒ 90 + x = 100
⇒ x = 100 - 90 = 10
ANSWER: A.10
Ok done. Thank to me :>
help plz:
14. Factor the following:
a. x^2 - 25
b. y^2 - 36
c. x^2 - 14x + 13
d. s^2 + 7s + 10
Answer:
a.(x+5)(x-5) b.(y+6)(y-6) c.(x-1)(x+13) d. (s+2)(s+5)
Step-by-step explanation:
Sorry no step for c and d
for a 25 is a perfect square 5*5=25 -5*5=-25
for b it's same
sorry I'm rushing
Answer:
Its A i do believe
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 . If a customer paid 120 dollars , how many international minutes did they use ?
Answer: The answer would be 950 international minutes. Only if assuming that this is in one month since the question doesn't give much detail.
Step-by-step explanation:
X would be used to represent the number of months.
25+0.10x=120
0.10x=95
950 international minutes used
Answer:
950
Step-by-step explanation:
An equation to model this scenario would be: y = 0.1x + 25
y would mean the amount of money paid depending on x, which is the number of minutes.
In this problem, we know the amount of money. So we know y is 120.
We can then put 120 into the equation to find x.
120 = 0.1x +25
95 = 0.1x
x = 950
Therefore, x is 950.
(4 x 5) ( 4 x 9)
i need help
Answer:
(20) (36) this is your answer bro
What is the ratio of the area of the triangle to the area of the rectangle?
A. 2
B. 1
C. 1/2
D. 2/1
please solve the following problem and show how u got it
Answer:
a. 15mph
b. 10mph
c. 12mph
Step-by-step explanation:
a. 30/2=15
b. 30/3=10
c. 30+30=60
60/5=12
i think it's right, hope that helped
Jose goes out to lunch. The bill, before tax and tip, was $10.45. A sales tax of 8% was added on. Jose tipped 17% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip? Round to the nearest cent.
A farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape. He decides to add 2 1/2 feet of fencing to the width of the pen, but the length will remain 9 1/4 feet. The new area will be 108 3/4 square feet.
Which equation can be used to determine the original width, w, of the pen?
9 1/4(w+2 1/2)=108 3/4
9 1/4w+2 1/2=108 3/4
2 1/2(w+9 1/4)=108 3/4
2 1/2w+9 1/4=108 3/4
Answer:
914(w+212)=10834
Step-by-step explanation: I took the test
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.)
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
The peaches are priced at three for $2. How much does one dozen cost? Write an equivalent ratio to find the answer. Show your work.
Please show examples how you get the answer :) Thank you I would really need help!
Answer:
12 peaches = $8
Step-by-step explanation:
3 = $2
12 / 3 = 4
4 x $2 = 8
12 = $8
Answer:
8.00$
Step-by-step explanation:
If Three Peaches = 2.00$. Then 3 ÷ 12 = 4×2
8.00$
P.S A dozen is Twelve
pls help! i need this done in less than 20 minutes!
Answer:
46 units
Step-by-step explanation:
So first of all you do 8 × 2 which equals 16 units, then you do 15 × 2 which equals 30 units, then you 30 + 16 which equals 46 units. Hope this helps.
Jacki evaluated the expression below.
2 cubed (3 minus 1) + 4 (8 minus 12) = 2 cubed (2) + 4 (4) = 8 (2) + 16 = 16 + 16 = 32.
What was Jacki’s error?
Jacki should have simplified the exponent first.
Jacki should have multiplied 4 and 8 first.
Jacki did not subtract 12 from 8 correctly.
Jacki should not have multiplied 8 and 2
Answer: Jacki did not subtract 12 from 8 correctly
Step-by-step explanation: it should be -4
Answer: C
Step-by-step explanation:
Jacki didn’t subtract 12 from 8 correctly he was suppose to get a negative and not 12
A box of cereal states that there are 99 calories in a 3/4 cup serving. What is the unit rate for calories per cup? How many calories in 4 cups of cereal
Answer:
Hello There!
According to the question,
It is said that we have to find calories in 4 cups.
First we have to find in each cup.
So
[tex] \frac{3}{4} \times x = 99 \\ \\ so \: x = 99 \times \frac{4}{3} \\ \\ [/tex]
simplify 99 and 3 then it will look like
[tex]33 \times \frac{4}{1} [/tex]
1 has no value so 33×4=132 calories
Now it is in each cup or 1 cup.
To find in 4 cups, multiply 132×4
[tex]132 \times 4 = 528[/tex]
So 528 calories is the answer.
[tex]\Large\textsf{Hope \: It \: Helped}[/tex]
Delores has at most $500 for entertainment throughout the month. If she spends $45 per week on eating out and $25 each week on movies, what's the most amount she can spend on other entertainment throughout the month?
Answer:
The answer would be 280
Step-by-step explanation:
If there are about 4 weeks in each month and she eats out every week for 45 dollars.
45x4=180
and if she goes to the movies each week at 25 dollars do the same thing.
25x4=100
when you add the two sums together
180+100=280
finally you subtract 280 from the original number,
500-280=220
so delores would have 220 dollar left over for other activities.
Could someone show me the streamline for this problem? The answer is 909, but I'd like to know how
1000-100+10-1
Answer:
1000-100=900,900+10=910,910-1=909
Step-by-step explanation:
Hey there!
1,000 - 100 + 10 - 1
1,000 - 100 = 900
= 900 + 10 - 1
900 + 10 = 910
= 910 - 1
= 909
Thus that’s why 1,000 - 100 + 10 - 1 is most likely equal to 909
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Math homework ! Please help.
Answer:
perimeter-22 yards please give brainliest!!
Step-by-step explanation:
count the squares on the OUTSIDE of the shape all around, and you'll get 22! dont worry about the coordinate points; they're just there to confuse you!! the answer is 22. please give brainliest!!
Kevin plays quarterback on the football team. The table shows the number of passes he threw and the number of passes he completed in four games. In which game did Kevin complete passes at the highest rate?
Answer:
Game 2
Step-by-step explanation:
Game 1: 15/25 = 60%
Game 2: 10/15 = 67%
Game 3: 15/30 = 50%
Game 4: 12/20 = 60%
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
A line passes through (2, 8) and (4, 12). Which equation best represents the line?
1. y = 1/2x + 6
2. y = 2x + 7
3. y = 2x + 4
4. y = 1/2x + 10
when keisha installed a fence along the 200 feet perimeter of her rectangular back yard she left and opening for GATE in diagram below she used X to represent the length of the gate (I give brainliest)
Answer:
(x + 60 + 30) * 2 = 200
(x + 90) * 2 = 200 multiply 2 inside parentheses
2x + 180 = 200 move 180 to the other side with changing it's sign
2x = 20 multiply by 2
x = 10 here is the answer
Step-by-step explanation:
Perimeter = (length + width) * 2
Hope this helps.
The bottom of a ladder must be placed 5 feet from a wall. The ladder is 18 feet long. How far above the ground does the ladder touch the wall?
Answer:
The ladder meets the wall at 17.29 feet from the ground.
Step-by-step explanation:
Pythagorean Theorem ⇒ a^2 + b^2 = c^2
5^2 + b^2 = 18^2
25 + b^2 = 324
b^2 = 299
b = 17.291616
Since the sanctuary was established, the estimated population of American robins in the area has increased from 86 to 102.
Describe the percent change in the estimated population of American robins. Round to the nearest whole percent.
Enter your answer in the box to complete the sentence.
Answer:
15.7%
Step-by-step explanation:
102-86=16
(16*100)/102