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 :>
please answer!!!
( 10 points)
Answer:
120 miles/6 gallons = 20 mpg
(20 mpg)(g gallons) = 480 miles
g = 24 gallons
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 4 and a horizontal side of 10. The other triangle has a vertical side of 12 and a horizontal side of 30.
Could the hypotenuses of these two triangles lie along the same line?
A. No, because they are not similar triangles
B. No, because one is larger than the other
C. Yes, because they are similar triangles
D. Yes, because they are both right triangles
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(219,379.01 - x) / x = .3321
Answer:x = 164686.592598
Step-by-step explanation:
219379.01−x/x = 0.3321
−x+219379.01/x = 0.3321
Step 1: Multiply both sides by x.
−x+219379.01≈0.3321x
−x+219379.01 − 0.3321x = 0.3321x−0.3321x (Subtract 0.3321x from both sides)
−1.3321x + 219379.01 = 0
−1.3321x + 219379.01 − 219379.01 = 0 − 219379.01 (Subtract 219379.01 from both sides)
−1.3321x = −219379.01
−1.3321x/−1.3321 = −219379.01/−1.3321
(Divide both sides by -1.3321)
x = 164686.592598
Answer:
164,686.59
Step-by-step explanation:
Carry out the division, then solve for x.
(219,379.01 - x) / x = .3321 . . . . . given
219,379.01/x -1 = 0.3321
219,379.01/x = 1.3321 . . . . add 1
219,379.01/1.3321 = x ≈ 164,686.59 . . . . multiply by x/1.3321
Rounded to 8 significant digits, the value of x is 164,686.59.
_____
The fractional portion is 7894/13321, which has a very long repeating decimal equivalent.
3/4c-7/12+7/24c+2/3-1/6c
simplify the expression
The simplification of the given expression (3/4)c - 7/12 + (7/24)c + 2/3 - (1/6)c is (21/12)c + 1/12.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
(3/4)c - 7/12 + (7/24)c + 2/3 - (1/6)c
Combined likely terms,
⇒ (3/4)c + (7/24)c - (1/6)c - 7/12 + 2/3
⇒ (3/4 + 7/24 - 1/6)c + 2/3 - 7/12
⇒ [(18 + 28 - 4)/24]c+ (8 - 7)/12
⇒ (42/24)c + 1/12
⇒ (21/12)c + 1/12
Hence "The simplification of the given is (21/12)c + 1/12".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
10 points. Thank you :)
Answer:
I believe it's A
Step-by-step explanation:
Answer:
i think C. 10(5x-3) is answer
(−4)(−5)−(−10÷−5) .....
Answer:
18
Step-by-step explanation:
Charlene is training for a marathon. She runs 5 kilometers per day for 5 days each week. If K stands for the total number of kilometers she runs and W stands for the number of weeks she trains, which equation can be used to find the number of kilometers she has run?
Question 17 options:
K = 25W
W = 25K
W = 5K
K = 5W
Answer:
W = 25K
Step-by-step explanation:
One week gets 25kilometers ( 5 km x 5 days =25 km for per week)
Answer:
Step-by-step explanation:
What happens if you take 65% of $21.00 and compute 110% of the reduced price
Pls show your work and explain it in detail
did I get this right please help me?
2(3y + 7 + 5) = 196 - 16
what’s the value of y?
And tell me how you know this and why or Y ahahahahahaha
Answer:
y=60
Step-by-step explanation:
196 - 16 = 180
7 + 5 = 12
12 + 3y = 15y
2 * 15y = 30y
180 ÷ 30 = 60
y = 60
Answer:
y=26
Step-by-step explanation:
Let's solve your equation step-by-step.
2(3y+7+5)=196-16
Step 1: Simplify both sides of the equation.
2(3y+7+5)=196-16
(2)(3y)+(2)(7)+(2)(5)=196+-16 (Distribute)
6y+14+10=196+-16
(6y)+(14+10)=(196=-16) (Combine Like Terms)
6y+24=180
Step 2: Subtract 24 from both sides.
6y+24-24=180-24
6y=156
Step 3: Divide both sides by 6.
6y/6 = 156/6
y=26
PLS HELPPP ME!!!! URGENT
Answer:
i think 2²¹ is answer
Step-by-step explanation:
=2³×2¹⁸
=2^3+18
=2^21
Answer:
[tex] {2}^{21} [/tex]Step-by-step explanation:
Expression:-[tex] {2}^{3} \times {2}^{18} [/tex]Question :-To simplify Solution:-[tex] = {2}^{3} \times {2}^{18} [/tex]
[As we know, a^x × a^y = a^(x+y)][tex] = {2}^{3 + 18} [/tex]
[On Simplification][tex] = {2}^{21} [/tex]
Result:-Hence,
[tex] {2}^{21} [/tex]
Is the required answer.
YOU BE THE TEACHER Your friend finds the slope of the line shown. Student work is shown. A line graphed on a coordinate plane. The line passes through the points at ordered pair 2 comma 3 and ordered pair 4 comma 1. A calculation is shown for the slope of the line. The first line reads, m equals start fraction 3 minus 1 over 4 minus 2 end fraction. The second line reads, equals start fraction 2 over 2 end fraction. The third line reads, equals 1.
Answer:
The slope of the line is -1
35 is 20% is what number ANSWER FAST!!!!!
Please show work with double number line Thanks.
Answer:
175
Step-by-step explanation:
Little league baseball bats have barrels that measure 2.625 inches in diameter. What is the diameter of a bat in millimeters (mm), to the nearest millimeter?
2.54 cm = 1 inch
10 mm = 1 cm
HELP DUE IN 5 MINS!!!
[tex]n\cdot e\cdot v\cdot \frac{e}{g^o}^r\cdot n^n\frac{a}{Gi}\cdot ve\cdot y^ou\cdot u^p=69[/tex]
What are the units? Tell me the units so I can solve this please.
SOLVE FOR P
(1) 4 x p x .5= 12
(2) 0.03 x p x 18= 2.7
Answer:
1-24 (I dont know about 2)
Step-by-step explanation:
0.5 x 24 = 12
What is [tex]rs^{3}[/tex] divided by 8-2r if r=8 and s=3?
Answer:
-2304
Step-by-step explanation:
rs^3=(8)(3)^3=13824 r*2=8*2=16 8-16=-8
13824/-6=-2304
:)
- 1/9x+2.4=6 what is x
Find the missing quantity in the double number line.
Answer:
Your answer would be 50
Step-by-step explanation:
How would you solve this problem? (Worth 10 points, pls help!)
Answer:
(22,0)
Step-by-step explanation:
1. Select any two points given and find their slope (rise/run)
(-38, 40) and (-23, 30)
slope = [tex]\frac{40-30}{-38-(-23)}[/tex] = - 2/3
2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.
y = mx + b ⇒ 40 = -2/3 (-38) + b
3. Solve for b
40 = -2/3 (-38) + b
40 = 76/3 + b
40 - 76/3 = b
b = 44/3
4. To find the x-intercept, set y = 0, and solve.
y = -2/3 x + 44/3
0 = -2/3 x + 44/3
2/3 x = 44/3
x = 22
Hope this helped!
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
PLEASE HELP ME IM GIVING BRAINLIEST
Answer:
The one you chose is the correct answer.
Step-by-step explanation:
Adding all the [tex]x's[/tex] up, you will get [tex]3.38x[/tex]. Adding up all the non-variable numbers, you get 20.22. Your answer is C.
hope this helped.
what is 54 x 67 ? Plz help!!!!
Answer:
3618
Step-by-step explanation:
Find the percent markup
A store advertises a 35% markdown on the PlayStation 5 gaming console. It normally sells for $1,019. what is the final sale price?
Part 1 out of 2
Jill, Meg, and Beth are sisters. Jill is 3 years younger than Meg. Enter an algebraic expression based on this situation. Let m represent Meg's age.
The expression is _______
What is the coefficient of the term 12p in the expression 12p + 9q?
Answer:
12
Step-by-step explanation:
in the term 12p the coefficient is 12 because the number always attatched to variable is the coefficient.
(4 x 5) ( 4 x 9)
i need help
Answer:
(20) (36) this is your answer bro
Which multiplication problem is modeled on the number line?
2(– 4)
4(2)
2(4)
4(– 2)
Answer:
4(-2)
Step-by-step explanation:
The correct answer is 4(-2) because the leeps to each number has 2 spaces between them and they are moving to the left of the number line that means that it is -2,and there are 4 leaps.
HELP, BRAINLIEST IF CORRECT Two teams working together can finish a job in 8 days. if the first team works alone for two days and the second team works alone for 5 days, 5/8 of the total work still remains. How many days will it take each team to finish the work alone?
Answer:
If 2 teams work together they can finish a job in 8 days. The rate of work of the first team is 5/8 of the rate of the second team. How many days each team needs to complete this job working alone.
Step-by-step explanation:
plz helppppp :)
5(x−3 3/4)=7 1/2
the answer is 10x
Solve for
x
by simplifying both sides of the equation, then isolating the variable.
x
=
10
Answer:
x = 5[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
5(x - 3[tex]\frac{3}{4}[/tex] ) = 7[tex]\frac{1}{2}[/tex]
Use distributive property
5x - 18[tex]\frac{3}{4}[/tex] = 7[tex]\frac{1}{2}[/tex]
Add 18[tex]\frac{3}{4}[/tex] to both sides
5x = 26[tex]\frac{1}{4}[/tex]
Divide both sides by 5
x = 5[tex]\frac{1}{4}[/tex]