Answer:
x = 12 and y = 22
Step-by-step explanation:
It is given that,
3 times the difference of x and y is -30
3(x-y) = -30
3x-3y = -30 ....(1)
2/3 of x plus 1/2 of y is 19.
[tex]\dfrac{2x}{3}+\dfrac{y}{2}=19\\\\\dfrac{4x+3y}{6}=19\\\\4x+3y=114\ ...(2)[/tex]
Add equation (1) and (2).
3x-3y + 4x+3y = -30 +114
7x = 84
x = 12
Put the value of x in equation (1)
3x-3y = -30
3(12)-3y = -30
36+30 = 3y
3y = 66
y = 22
Hence, the value of x and y are 12 and 22.
A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by s(t)-6+2t+t2, where s(t) is in feet and t is in (a) Find the velocity at t- 4 seconds. (Worth 5 points) sec/Pt Answer (b) Find the instant the balloon is 50 feet above the ground.
Step-by-step explanation:
A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by :
[tex]s(t)=6+2t+t^2[/tex] ...(1)
(a) We need to find velocity at t = 4 seconds
Differentiate equation (1) wrt t.
[tex]v=\dfrac{ds}{dt}\\\\v=\dfrac{d(6+2t+t^2)}{dt}\\\\v=2+2t[/tex]
At t = 4 seconds,
[tex]v=2+2(4)\\\\=10\ ft/s[/tex]
At t = 4 seconds, the velocity is 10 ft/s.
(b) When the balloon is 50 feet above the ground,
[tex]6+2t+t^2=50[/tex]
We need to find t.
[tex]6+2t+t^2=50\\\\t^2+2t-50+6=0\\\\t^2+2t-44=0[/tex]
It is a quadratic equation,
t = 5.708 and t = -7.708
Neglecting negative time, the instant time is 5.708 seconds.
Player pays a fee, then reaches into a large jar and picks out a ball. The jar contains one ball for each letter of the alphabet. If the players picks out a ball with a vowel on it, the player wins 200 dollars. If the player picks out a ball with a consonant on it, the player wins nothing. What fee should be charged to play this game in order for it to be considered a fair game?
Answer:
€4.20
Step-by-step explanation:
the have a 5 in 26 chance in winning so 26(letters in alphabet) - 5(vowels) =21
21÷5 =4.2
At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?
Answer: It is a function because at any given time the oven was exactly one temperature.
Step-by-step explanation:
It is given that:
At 5:00 p.m., Antonio turned on the oven.
The oven remained at 400°F for 45 minutes until Antonio turned it off.
It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m.
Question
Mark's grade went from 65% to 90%. What was his percent increase?
25%
28%
38%
90%
What is the LCM of eight and nine
Answer: LCM: 72
Step-by-step explanation:
8: 8, 16, 24, 32, 40, 48, 56, 64, 72
9: 9, 18, 27, 36, 45, 54, 63, 72
Answer:
the anser is 8 and 9 is 72 so 72
g(x) = x^2 + 55
What is the minimum value of the given function?
Answer:
Step-by-step explanation:
55.
The solution is, the function doesn't have a minimum value.
What is derivative?A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.
here, we have,
given that,
the function is,
g(x) = x^2 + 55
now, we have to find the min. value of the function.
so, we have,
g(x) = x^2 + 55
the 1st order derivative is,
g'(x)= 2x
now, we have, critical point, at g'(x)= 0
i.e. at 2x = 0
or, x = 0
so, min. value is at x= 0 of g''(x),
i.e. g''(x) = 2
so, it doesn't have any minimum value.
Hence, The solution is, the function doesn't have a minimum value.
To learn more on derivative click:
brainly.com/question/12445967
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Which math expression means "33 more than an unknown number"?
O A. 33. x
O B. X-33
O C. X+33
O D. X=33
What’s the answer to this radical functions equation ASAP
9514 1404 393
Answer:
y = ∛(x -4) -1
Step-by-step explanation:
The transformation ...
g(x) = f(x -h) +k
translates the graph of f(x) h units to the right and k units up. Here, the cube root function is translated 4 units right and 1 unit down, so h=4 and k=-1. Putting those into your equation gives ...
y = ∛(x -4) -1
Plz help with question
Answer:
I believe it's B
Step-by-step explanation:
Isosceles triangles have congruent base angles, so base angle A and B should both be the same number. (25)
Added up, 25+25+130 is 180 degrees.
good monke good monke dog
Answer:
very inspirational thanks
Step-by-step explanation:
Answer:
monke
Step-by-step explanation:
What is the equation of the line that is parallel to y=-2/3x+4 and that passes through (–2,–2)?
Answers
y=-2/3x-4/3
y=-2/3x-10/3
y=-2/3x-2/3
y=-2/3x-17/4
Answer:
when tow line are parallel (a) is same
Help me pleaseeeeeeeeeeeeeeeeee
what does 1/2 plus 3/4
Answer:
1/2 plus 3/4 = 1 1/4 or 1.25 same thing
Step-by-step explanation:
1/2 = 2/4
2/4 +3/4 = 5/4 or 1.25
Write a polynomial expression that represents the total area of a square with a side length of (3x - 4).
Which of the following numbers can be expressed as decimals that terminate? 5 over 2, 4 over 5, 2 over 7, 4 over 3 5 over 2 and 2 over 7 4 over 5 and 4 over 3 5 over 2 and 4 over 5 2 over 7 and 4 over 3 my friend needs help
Answer:
I hope this helps!!
Step-by-step explanation:
We have given that : numbers - 9 over 7, 5 over 3, 3 over 2, 6 over 4
To find : which are terminating decimal
Terminating decimals are those whose figures to the right of some place are zero or have an end.
Solution : we check one by one,
1) 9 over 7 = 9/7 = 1.285714285714285714.... -Non terminating
2) 5 over 3 = 5/3 = 1.666666666666666...... -Non terminating
3) 3 over 2 = 3/2 = 1.5 - Terminating
4) 6 over 4 = 6/4= 3/2 = 1.5 - Terminating
I'm sorry if this is wrong :(
Find the m
D
55
35
В
1. Slope: (put your answer in the form 3/4)
Answer:
1/4x
Step-by-step explanation:
The slope of any graph can be determined with the same formula
Change in Y
Change in X
Fill in the fraction
1
—
4
Thats how you get the slope.
I hope this helps!
pls give brainliest and thanks
April bought a 5 pound bag of flour. If 1 pound equals 16 ounces, how many ounces of flour did April purchase?
Answer:
80 ounces
Step-by-step explanation:
5x16=80
Sara went to breakfast with her family. What is the total cost is the sales tax is 6%?
Answer:
divide/multiply
Step-by-step explanation:
search it up its simple
Solve for x.
Round to the nearest hundredth if necessary.
Answer:
4.24
Step-by-step explanation:
By geometric mean property
[tex] {x}^{2} = 6 \times 3 \\ \\ {x}^{2} = 18 \\ \\ x = \pm\sqrt{18} \\ \\ x = \pm 4.24264069 \\ \\ \because \: x \: can \: not \: be \: - ve \\ \\ \therefore \: x = 4.24 \: units \\ [/tex]
Which subtraction problem does NOT require zero pairs to solve using chips ? ( PLEASE ANSWER ASAP )
Answer:
c.
Step-by-step explanation:
Answer:It is not C
Step-by-step explanation:
Please answer: A A piece of wood that is 7.07 centimeters long. Then she sawed 0.7 centimeters off the end. How long is the piece of wood now?
Answer:
6.37 cm
Step-by-step explanation:
Solve
20 + 6k - 14+k
Answer:
7k+6 is your answer to the question
Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more than the previous week, except in the last week, when she reaches $900. To have a final sum of exactly $900, how much money does Dreya need to save in her final week of saving?
$13
$60
$70
$73
Answer:
$ 60
Step-by-step explanation:
hope it helps!
.....
Answer:
It is B
Step-by-step explanation:
Got it right on unit review
Summer Earnings Jobs Hours Worked Earnings 6 Mowing Yards Delivering Newspapers Washing Cars $42 4 ney, in dollars and cents, did Kamron earn per hour for mowing yard +/-
Answer:210
Step-by-step explanation:2+1+0=210 ✨
What’s 2/2 x 5/6 plz help me
Answer:
5/6
Step-by-step explanation:
2/2 = 11 × 5/6 = 5/6I hope this helps!
Annie's ant population doubles every week.
After 3 weeks of doubling, how many ants will she have if her colony
started with 50?
Answer:
400.
Step-by-step explanation:
50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.
Answer:
400
Step-by-step explanation:
just did the work
need this done fast pls.
Answer:
45°Step-by-step explanation:
85 + 50 + ? = 180
? = 180 - 85 - 50
? = 45
The weighted mean of the variables 2,5,8,10 with weights 1,3,1,2 is...
6.2
O 6.4
O 1.4
which one ?
I need help please lol
Answer:
b d f i think sorry if this doesnt help but have a great day :)
Step-by-step explanation: