The sum of a numerator and denominator of a fraction is 18. If the denominator increased by 2, the fraction reduces to 1/3. Find the fraction.
Sum of the numerator and denominator = 18
If the denominator is increased by 2 , the fraction reduces to 1/3.
Find:the fraction
Solution:Let the fraction be x/y.
⟹ x + y = 18
⟹ x = 18 - y -- equation (1)
And,
If the denominator is increased by 2 , the fraction reduces to 1/3.
⟹ x/y + 2 = 1/3
⟹ 3x = y + 2
Substitute the value of x from equation (1).
⟹ 3(18 - y) = y + 2
⟹ 54 - 3y = y + 2
⟹ 54 - 2 = y + 3y
⟹ 52 = 4y
⟹ 52/4 = y
⟹ 13 = y
Substitute the value of y in equation (1).
⟹ x = 18 - 13
⟹ x = 5
Therefore, the required fraction x/y is 5/13.
I hope it will help you.
Regards.
Answer:
Length is twice the breadth.
→ Length = 2 * x = 2x m.
Also,
Perimeter of the field = 150 m.
We know that,
Perimeter of a rectangle = 2(length + breadth).
Hence,
→ 150 = 2(x + 2x)
→ 150 = 2 * 3x
→ x = 150/2 * 3
→ x = 25
Step-by-step explanation:
Whats the answer?????
Answer:
oof we just went over that
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
diffusion is move from high to low
Find the modeof the set 7,4,3,5,4,6,2
Answer:
what do you mean the mode
−14x − 5= −10x − 45
what is x?
Answer:
x = 10
Step-by-step explanation:
-4x = -40
x = 10
y varies inversely as x . If x = 4 then y = 9. Find y when x = 3.
Anyone help?
Answer:
12
Step-by-step explanation:
Given, x and y are inversely proportional.
So, the equation is xy=k, where k is the constant of proportionality
x=4, y=9. plug in the values to find k.
k=4*9 = 36
When x=3, y = k/x =36/3 = 12
y=12, when x=3
John has a total of 14 coins in his pocket consist of quarters, dimes, nickels, and pennies. He has a total of $1. 67. How much of each coin does John has?
Answer:
15.67
Step-by-step explanation:
14+1.67=15.67
A 2nd baseman throws a baseball toward the 1st baseman 60 feet away. The path of the ball is given by f(x)=-0.004x^2+0.3x+6, where f(x) is the height of the ball (in feet) and x is the horizontal distance from the 2nd baseman (in feet). The 1st baseman can reach 8 ft high. Can the 1st baseman catch the ball without jumping?
Answer:
The 1st baseman can't catch the ball without jumping.
Step-by-step explanation:
To know if the 1st baseman can catch the ball without jumping we need to find the height reached by the baseball by solving the following equation:
[tex] f(x) = -0.004x^{2} + 0.3x + 6 [/tex]
We know that x (the horizontal distance) = 60 feet, so we have:
[tex] f(60) = -0.004(60)^{2} + 0.3(60) + 6 [/tex]
[tex]f(60) = 9.6 ft[/tex]
Since the 1st baseman can reach 8 ft high and the height reached by the baseball is 9.6 ft, the 1st baseman can't catch the ball without jumping.
Therefore, the 1st baseman can't catch the ball without jumping.
I hope it helps you!
Do this plz ;/ to lazy, dont answer id u dont know or else (;
Answer:
it would be the one after eight so put it on the 9 mark
Step-by-step explanation:
hope u get it right if not srry
If Sn=-15, a1=12, d=-3 what is the value of n?
Ah yes.
Refer the pictures at the bottom. Let me know in comments if you can access the pdf given.
Robert bought 3 baseball caps for the same amount and 1 baseball jersey that cost $45. Without tax, the total cost of the items is $90. What is the cost of each baseball cap?
Answer:
Unitary cost= $15
Step-by-step explanation:
First, we need to calculate the total cost of the baseball caps:
Total cost baseball caps= 90 - 45
Total cost baseball caps= $45
Now, the unitary cost of each baseball caps:
Unitary cost= total cost / number of units
Unitary cost= 45/3
Unitary cost= $15
PLEASEEEE HELPPPPP someoneeee I don’t want to fail :(
Answer:
write answer is 600,, 100% sure
Lol , so this question is from your school google forms? ; )
Answer is 600. Lemme show you how.
Y is proportional to x.
y ∝ x
to remove proportionality , we put k.
y = kx
Now , insert values of y and x to find k.
60 = k *75
k = 75 / 60
Now when Y = 480 , x =?
x = (75/60)(480) = 600.
X = 600
HELLPP ME ILL GIVE 100PTS AND BRAINLYIST
GO TO MY RECENT QUESTIONSSSSSSS
Answer:
The correct answer is D
Step-by-step explanation:
Answer:
B. The graph is linear because it increases at a constant rate.
Ken, a meteorologist, is predicting next year's temperatures in New York City. He predicts that, in August, the average low temperature will be 20°C, and that the temperature will drop by 4°C in September. Ken's predicted temperature for September is how many ºC
Answer:
16 °C
Step-by-step explanation:
We are told that Ken predicts that, in August, the average low temperature will be 20°C, and that the temperature will drop by 4°C in September.
Now, in a standard 12 month calendar, the month of August comes before the month of September.
Thus, in September a drop off by 4°C from 20°C means that the new temperature in September is; 20°C - 4°C = 16 °C
Answer:
16
cause why not
HELLLLLLLLLLLLLLp
Find all the values of k so that the quadratic expression factors into two binomials. Explain the process used to find the values.
Answers:
k = 23k = 10k = 5k = 2k = -2k = -5k = -10k = -23There are eight items in that list above.
===================================
Explanation:
We'll use the AC method of factoring.
The first term has coefficient 3. The last term is -8. Multiply them to get 3*(-8) = -24.
Now let's list all the ways to multiply two integers to get -24
-1*24-2*12-3*8-4*6-6*4-8*3-12*2-24*1For each pair of factors listed, we'll add up those pairs. Each sum we get represents a possible value of k
k = -1+24 = 23k = -2+12 = 10k = -3+8 = 5k = -4+6 = 2k = -6+4 = -2k = -8+3 = -5k = -12+2 = -10k = -24+1 = -23Note the symmetry. For instance we have 10 as one sum and -10 as another sum.
-------------------------------
Let's go over an example. Let's say that k = 10
The expression 3x^2+kx-8 turns into 3x^2+10x-8
From the list above, we see that -2+12 = 10. So the two values -2 and 12 will help us factor.
Break up the 10x into -2x+12x and then factor by grouping like so
3x^2 + 10x - 8
3x^2 - 2x + 12x - 8
(3x^2 - 2x) + (12x - 8)
x(3x-2) + (12x - 8)
x(3x-2) + 4(3x - 2)
(x+4)(3x-2)
Therefore, 3x^2 + 10x - 8 factors into (x+4)(3x-2)
We can use the FOIL rule, distribution, or the box method to confirm this.
I'll let you try out other values of k to see how 3x^2+kx-8 factors.
can someone pls solve this for me? (:
Answer:
8mm - Ladybug
8cm - Battery
12cm - Frog
19cm - Toothbrush
1000km - Texas
40m - Ferris Wheel
12m - Helicopter
70cm - Desk
I think this might be right.
I hope this helps!
As you ride a Ferris wheel, your distance from the ground varies sinusoidally with
time. You enter the Ferris wheel from the bottom, which is 8 feet from the ground.
The Ferris wheel has a diameter of 60 feet and makes a full revolution every minute.
What is your height above the ground at t = 20 seconds?
a) 46 ft b) 47 ft c) 53 ft d) 54 ft
Answer:
i think it would be b/47
Step-by-step explanation:
Myra owns a car service that charges a $5 flat rate and an additional $0.50 per mile.
A: y = 0.5x + 5
B: y = 5x – 0.5
C: y=0.5x-5
D: y=5x+0.5
Answer: y=0.5x+5
Step-by-step explanation:
just did it on edg
Answer:
B.
Step-by-step explanation:
Please answer this ASAP
Answer:
4,2
Step-by-step explanation:
The slope of the line is 2.
All you have to do is rise/ run.
Rises 6 runs 3.
So 6/3.
Simplify iff possible, and in this case it is possible. Which gives you 2.
Answer is 2.
Need help on this question, giving 10 points.
Answer:
decrease
Step-by-step explanation:
theres less bars on y than x so it went down
Mai bought a bag of groceries for $20.00 and four board games. Mai paid $108.00 for the entire purchase. How much money did Mai pay for one board game?
A.
g = $44.00
B.
g = $22.00
C.
g = $20.00
D.
g = $108.00
Answer:
22
Step-by-step explanation:
108- 20 to get 88 then divide by 4
Answer:
B; g = $22
108-20=88
88/4=22
Step-by-step explanation:
Hope this helps! <3
GOODLUCK.
If the population standard deviation of the stopping distance is provided as σ = 6.7 feet. Estimate the average stopping distance of all Model A tires with a 94% confidence interval.
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
The estimate of the average stopping distance of all model A tires with a 94% confidence interval is
[tex]132.94 < \mu < 144.86[/tex]
Step-by-step explanation:
From the question we see that
The sample size is n = 8
The population standard deviation is [tex]\sigma = 6.7[/tex]
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x = \frac{ 145 + 152 + \cdots + 133}{8}[/tex]
=> [tex]\= x = 138.9[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 94 ) \%[/tex]
=> [tex]\alpha = 0.04[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 8 - 1[/tex]
=> [tex]df = 7[/tex]
Because the n < 30 we will making use of the t table
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 7[/tex] is
[tex]t_{\frac{\alpha }{2}, 7 } = 2.517 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} , df} * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.517 * \frac{6.7 }{\sqrt{8} }[/tex]
=> [tex]E =5.96 [/tex]
Generally 94% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]138.9 -5.96 < \mu < 138.9 + 5.96[/tex]
=> [tex]132.94 < \mu < 144.86[/tex]
Combine the like terms to create an equivalent expression:
2s+(−4s)
(2 s) + ((−4) s) =
-2 seconds
Which ratio is proportional to the ratio 1/5
which example describes measuring area
Answer:
Of what?
Step-by-step explanation:
i need help asap .....
Answer:
-3.25
Step-by-step explanation:
Just plug then in 2(1/2)+3(1/4)-5
What are ways to write k/3 + 16 in words
Answer:
You can say "K over 3 plus 16" or 'The sum of 16 plus k over 3"
Step-by-step explanation:
Hope this helps :)
700 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game?
Answer:
140 teenagers attended the game.
The cost of a gallon of milk is $3.27 each. What is the maximum number of milk cartons you can buy for $20?
Answer:
6
Step-by-step explanation:
20 divided by 3.27 is 6.11 but you can't have .11 of a milk carton.
Luke borrowed 15000 to pay his college tuition after he graduates he will repay the loan along with simple interest after 2 years luke will owe a total of 17250 what is the simplest interest rate on lukes loan
Answer: 7.5%
Step-by-step explanation:
Given: Principal amount = $15,000
Time =- 2 years
Final Amount (Principal + interest)= $17,250
Interest = Final Amount - Principal amount
= $ ( 17250 - 15000 )
= $ 2250
Formula for interest : principal x rate x time
[tex]2250=15000\times rate \times 2\\\\\Rightarrow\ rate =\dfrac{2250}{15000\times2}\\\\\Rightarrow\ rate =0.075\\\\\Rightarrow\ rate =0.075\times100\%=7.5\%[/tex]
Hence, the simplest interest rate on lukes loan =7.5%
Which is a graph of a proportional relationship?
Answer:
C
Step-by-step explanation:
I cant see the whole thing but if graph C starts from the origin or point 0,0 its proportional.
