PLEASE HELP FOR BRAINLIEST!!
Write a function rule for the data in the table. Determine if it's a direct variation, inverse variation or neither. Last, determine the value of x if y=10.
Answers
Answer: [tex]\bold{y=\dfrac{24}{x}}[/tex] ; indirect variation ; x = 2.4
Step-by-step explanation:
direct variation is when: [tex]\dfrac{y}{x}=k[/tex] ; where k is the constant rate
indirect variation is when: xy = k ; where k is the constant rate
In the table provide: x * y = 24 for each coordinate provided, so this is indirect variation, with equation: [tex]y = \dfrac{24}{x}[/tex]
since k = 24, then input y = 10 and k = 24 into the equation above:
[tex]10 = \dfrac{24}{x}[/tex]
[tex]10x = 24[/tex]
[tex]x = \dfrac{24}{10}[/tex]
x = 2.4
Related Questions
A fruit stand has to decide what to charge for their produce. They need $10 for 4 apples and 4 oranges. They also need $15 for 6 apples and 6 oranges. What is the cost for an apple
Answers
Answer:
$1.25
Sorry that i dont have an explanation i just didnt wanna confuse you lol
What is the solution set for the open sentence, using the given replacement set ? 6x?2=10 ; {1, 2, 3, 4} ?
Answers
Answer:
answer is x=2
Step-by-step explanation: 6x2=12-2=10The solution set for the equation 6x - 2 = 10 using the replacement set {1, 2, 3, 4} is {2}, as 2 is the only number in the set that, when substituted into the equation, satisfies it.
The solution set for the open sentence 6x - 2 = 10 using the given replacement set {1, 2, 3, 4} can be found by solving the equation for x and then checking which numbers in the replacement set satisfy the equation.
Add 2 to both sides of the equation: 6x - 2 + 2 = 10 + 2, which simplifies to 6x = 12.Divide both sides by 6: 6x/6 = 12/6, which simplifies to x = 2.Check if x = 2 is within the replacement set: Since 2 is in the set {1, 2, 3, 4}, x = 2 is the solution that belongs to the replacement set.Therefore, the solution set is {2}.
Simplify (in picture)
Answers
[tex]x^2+2x+1=x^2+x+x+1=x(x+1)+1(x+1)=(x+1)(x+1)\\----------------------\\2x+2=2(x+1)\\----------------------\\\\\dfrac{2x+2}{x^2+2x+1}=\dfrac{2(x+1)}{(x+1)(x+1)}\\\\\text{Canceled}\ (x+1)\\\\=\boxed{\dfrac{2}{x+1}}[/tex]
If you break up the number under the radical in the square root of 36 into two factors that are perfect squares, what are the two factors?
Answers
Answer: 4 and 9
Step-by-step explanation:
9 x 4 = 36
The square root of 9 is 3, so 9 is a perfect square.
The square root of 4 is 2, so 4 is a perfect square.
Answer:
9 x 4 = 36
Step-by-step explanation:
you should be able to mark him brainliest now =) =) =)
Bryson buys a bag of 64 plastic miniature dinosaurs. Could he distribute them equally into six stroke containers and not have any left over?
Answers
Answer:
Yes he will not have any left over
Step-by-step explanation:
because 64 / 6 = 10.666666..
When the sum of 8 and twice a positive number is subtracted from the square of the? number, 0 results. Find the number.
Answers
Answer:
4
Step-by-step explanation:
The equation is
x^2 - (2x + 8) = 0 where x is the number to be found.
removing the parentheses by distributing the negative:-
x^2 - 2x - 8 = 0
(x - 4)(x +2) = 0
x = 4, -2.
The value of x must be 4 because it is positive.
The box which measures 70cm X 36cm X 12cm is to be covered by a canvas. How many meters of canvas of width 80cm would be required to cover 150 such boxes.
Answers
Answer:
142.2 meters.
Step-by-step explanation:
We have been given that a box measures 70 cm X 36 cm X 12 cm is to be covered by a canvas.
Let us find total surface area of box using surface area formula of cuboid.
[tex]\text{Total surface area of cuboid}=2(lb+bh+hl)[/tex], where,
[tex]l[/tex] = Length of cuboid,
[tex]b[/tex] = Breadth of cuboid,
[tex]w[/tex] = Width of cuboid.
[tex]\text{Total surface area of box}=2(70\cdot36+36\cdot 12+12\cdot 70)[/tex]
[tex]\text{Total surface area of box}=2(2520+432+840)[/tex]
[tex]\text{Total surface area of box}=2(3792)[/tex]
[tex]\text{Total surface area of box}=7584[/tex]
Therefore, the total surface area of box will be 7584 square cm.
To find the length of canvas that will cover 150 boxes, we will divide total surface area of 150 such boxes by width of canvass as total surface area of canvas will also be the same.
[tex]\text{Width of canvas* Length of canvass}=\text{Total surface area of 150 boxes}[/tex]
[tex]80\text{ cm}\times\text{ Length of canvass}=150\times 7584\text{cm}^2[/tex]
[tex]\text{ Length of canvass}=\frac{150\times 7584\text{ cm}^2}{80\text{ cm}}[/tex]
[tex]\text{ Length of canvass}=\frac{1137600\text{ cm}^2}{80\text{ cm}}[/tex]
[tex]\text{ Length of canvass}=14220\text{ cm}[/tex]
Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.
[tex]\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}[/tex]
[tex]\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}[/tex]
[tex]\text{ Length of canvass}=\frac{14220\text{ cm}}{100}\times\frac{m}{cm}[/tex]
[tex]\text{ Length of canvass}=142.20\text{ m}[/tex]
Therefore, 142.2 meters of canvas of width 80 cm required to cover 150 such boxes.
unction f is an exponential function
X -2 | 0 | 2 | 4| 6
F(x) 1/8 | ½| 2 |8 | 32
By what factor does the output value increase as each
input value increases by 1?
Answers
Answer:
4
Step-by-step explanation:
As each x value increases by 1, the output values increase by a factor of 4. This means that each y value can be multiplied by 4 to get the next y value.
1/2(4)=2
2(4)=8
8(4)=32
4 is the factor.
A patient is given a 100-milligram dosage of a drug that decays exponentially at a rate of 11% per hour. The doctor wants to know when 15 milligrams of the drug remains.
Write an equation that models the situation. Explain each aspect of your equation.
Answers
Answer:
16.3 hours.
Step-by-step explanation:
"Decays exponentially at a rate of 11% per hour" translates into
(1 - 0.11)^h, where h is the number of hours during which the drug decays.
The negative sign comes from "decay."
The complete formula applicable here is
d(h) = (100 mg)(1 - 0.11)^h, where h is the number of hours.
We want to know how many hours it will be until all but 15 mg remain. The appropriate formula for this is
15 mg = (100 mg)()^h. Dividing both sides by 100 mg, we get:
15 mg
------------- = 0.89^h, or 0.15 = 1.11^h
100 mg
Apply properties of logs to solve this. Take the natural log of both sides of the above equation. We get:
ln 0.15 = h(ln 0.89). Dividing both sides by ln 0.89, we get:
h = 16.3
The original 100 mg dosage would decay to 15 mg after 16.3 hours.
Determine the first four terms of the sequence in which the nth term is...
Answers
Answer:
1/5, 1/6, 1/7, 1/8
Step-by-step explanation:
The formula for the sequence is (n+3)!/ (n+4)!
The first terms uses n=1
a1 = (1+3)!/ (1+4)! = 4!/5! = (4*3*2*1)/(5*4*3*2*1) = 1/5
The first terms uses n=2
a2 = (2+3)!/ (2+4)! = 5!/6! = (5*4*3*2*1)/(6*5*4*3*2*1) = 1/6
The first terms uses n=3
a3 = (3+3)!/ (3+4)! = 6!/7! = (6*5*4*3*2*1)/(7*6*5*4*3*2*1) = 1/7
The first terms uses n=4
a4 = (4+3)!/ (4+4)! = 7!/8! = (7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1) = 1/8
Answer:
D. 1/5,1/6,1/7,1/8
Rita spends 52% of her pocket money on magazines and 23% on movies. If her pocket money was RS.144 what amount of her pocket money is left
Answers
Answer:
The amount of Rita's pocket money left is Rs. 36.
Step-by-step explanation:
Pocket money that Rita had before = 144
Money spent for magazines = 52% of 144
= [tex]\frac{52}{100} (144)[/tex]
= 0.52(144)
= 74.88
Money spent for movies = 23% of 144
= [tex]\frac{23}{100} (144)[/tex]
= 0.23(144)
= 33.12
Money left with Rita = 144 - (74.88 + 33.12)
= 144 - 108
= 36
Hence, Rita left with Rs. 36.
Aliter:
Total money spent = (52 + 23)% = 75%
So, money left with Rita = 100 - 75 = 25%
25% of 144 = 0.25(144) = 36.
Write an expression for the sequence of operations described below. add q and 10, then subtract r from the result Do not simplify any part of the expression.
Answers
Answer:
q + 10 - r
Step-by-step explanation:
add q and 10 = q + 10
then subtract r from the result = q + 10 - r
Answer:
(q + 10) - r
Step-by-step explanation:
The given verbal expression is " add q and 10, then subtract r from the results."
Add q and 10 = q + 10
subtract r from the result = (q + 10) - r
So, the final expression is (q + 10) - r
Felicity the clown inflates two balloons in five minutes. Grumpy a clown ties five balloon animals in 12 minutes. They both work at a steady rate. If Felicity maintain this constant rate, how many balloons could she inflate in one hour ?
Answers
Answer:
24 balloons
Step-by-step explanation:
1 hour= 60 min
60 min/ 5 min= 12 min
12 min* 2 balloons= 24 balloons per hour
What about Grumpy?Don't pay attention to Grumpy, it was just to confuse you. We are talking about how fast Felicity can inflate balloons.Answer:
The correct answer is A
Sorry if this is late but hope it helps however finds it
What are the factors of m^2-6m+6m-36?
Answers
The measurement, y, varies directly with regard to another value, x. If y = 9 and x = 24, find x for y = 25.
Answers
Answer:
x=66.667
Step-by-step explanation:
Basically, if y varies directly with a value x, you get an equation of the form y=kx, where k is a constant. To answer the question, first substitute 9 into y, and 24 into x.
9=24k
k=0.375
k is 0.375, so to get x, substitute 0.375 into k and 25 into y
25=0.375x
x=66.667
And we got it!
Final answer:
To find x when y = 25 in a direct variation where y = 9 when x = 24, first find the constant of proportionality (k = 3/8), then use this constant to solve the equation 25 = (3/8)x which yields x ≈ 66.67.
Explanation:
The student's question concerns direct variation, which is a concept where one variable changes in proportion to another variable. In this particular problem, the measure y varies directly with x. Given that y = 9 when x = 24, we can use this information to establish the constant of proportionality k where y = kx.
First, we solve for k using the initial condition:
9 = k * 24
k = 9/24
k = 3/8
Now that we have the constant of proportionality, we can find x when y = 25 by setting up the equation:
25 = (3/8)x
x = 25 * (8/3)
x = 200/3
x ≈ 66.67
Therefore, when y = 25, the value of x is approximately 66.67.
Cataloged 2/3 of new books in shipment. Is she has cataloged 52 books what is the number of books shipped in total
Answers
Answer:
78 books
Step-by-step explanation:
Use proportion: If 52 is 2/3 of the books then number of books shipped = 52 * the inverse of 2/3 which is 52 * 3/2:-
52 * 3/2
= 156/2
= 78 books
Which equation shows a line perpendicular to the line
Answers
Answer:
The second answer: y= 3/4x + 2
Step-by-step explanation:
Subtract 4x to the other side
Divide by 3 to get y by itself
Make the coefficient of the x term the negative reciprocal, for that is the perpendicular slope of the line
Sammy buys his clothes at super discounts. On saturday he bought shoes regularly priced at $40 for 25% off, and jacket regularly priced at $100 for 30% off before the sales taxe what was the total price of the items sammy bought .Approximately what percent discount did Sammy get on his total purchases
Answers
Answer:
A. $100
B. 29%
Step-by-step explanation:
A. To find total price of the items Sammy bought we will add the price of shoes and jacket after discount.
Let us find price of shoes after 25% discount.
[tex]\text{Price of shoes after discount}=40-(\frac{25}{100}*40)[/tex]
[tex]\text{Price of shoes after discount}=40-(\frac{1}{4}*40)[/tex]
[tex]\text{Price of shoes after discount}=40-10=30[/tex]
Therefore, price of shoes after discount is $30.
Now let us find price of jacket after 30% discount.
[tex]\text{Price of jacket after discount}=100-(\frac{30}{100}*100)[/tex]
[tex]\text{Price of jacket after discount}=100-30[/tex]
[tex]\text{Price of jacket after discount}=70[/tex]
Therefore, price of jacket after discount is $70.
Now let us add both prices to find the total price of the items.
[tex]\text{Total price of items}=30+70[/tex]
[tex]\text{Total price of items}=100[/tex]
Therefore, the total price of the items bought by Sammy is $100.
B. To find the percent discount which Sammy got on his total purchases, we will use percent change formula.
[tex]\text{Percent change}=\frac{\text{Difference}}{\text{Original value}}\times 100[/tex]
Total price without discount= 100+40=140
[tex]\text{Discount percent}=\frac{140-100}{140}\times 100[/tex]
[tex]\text{Discount percent}=\frac{40}{140}\times 100[/tex]
[tex]\text{Discount percent}=0.2857142857142857\times 100[/tex]
[tex]\text{Discount percent}=28.57142857142857\approx 29[/tex]
Therefore, Sammy got approximately 29% discount on his total purchases.
Answer:
Sammy bought a car and got a discount of 2/5 off the original price of $30,000. How much did Sammy pay for the car after the discount?
Step-by-step explanation:
Gabriela has dinner at a cafe and the cost of her meal was $45.00 she wants to leave a tip of 15% what is her total bill
Answers
45+0.15·45=45+6.75=51.75$
Is the triangle with side lengths of 18cm, 24cm and 30 cm a right triangle ?
Answers
If a, b and c are the lengths of a right triangle and c is the longest side, then:
[tex]a^2+b^2=c^2[/tex]
We have a = 18cm, b = 24cm and c = 30cm. Substitute and check:
[tex]L_s=18^2+24^2=324+576=900\\\\R_s=30^2=900\\\\L_s=R_s[/tex]
Answer: It's the right triangle.The number of tickets sold on Friday at a movie theater was 2,000 more than the number of tickets sold on Tuesday. 1,250 tickets were sold on Tuesday. Which integer represents the number of tickets sold on Friday? A) -2,000 B) -1,250 C) 2,000 D) 3,250
Answers
You can think of this question like the photos attached above.
Also, a friendly reminder (I am sure that you know this already though) that variables cannot be capital letters (only lowercase). I used to make (and still make) this mistake a lot when writing equations, so I just thought that this reminder might be helpful.
Hope this helps! Best of luck!
Answer:
The answer is D)
Step-by-step explanation:
Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!!
Answers
Answer:
sqrt(15)/2 = g
h = sqrt(5) /2
Step-by-step explanation:
We know that sin 30 = opposite / hypotenuse
sin 30 = h/ sqrt(5)
Multiply by sqrt(5) on each side
sqrt(5) sin 30 = h
sqrt(5) (1/2) = h
h = sqrt(5) /2
cos 30 = adjacent/ hypotenuse
cos 30 = g / sqrt(5)
Multiply each side by sqrt(5)
sqrt(5) cos (30 ) = g
sqrt(5) (sqrt(3)/2) = g
sqrt(15)/2 = g
Mr. Fox's had is students identify the sex of each of their frog's while they performing their dissections. There were a total of 46 groups for which there were 19 females and 27 males identified. He has one more group that needs to complete their dissection, the probability that it will be a male is approximately 59% based on the results of the first 46 groups. This is an example of:
A Experimental Probability
B Can not determine
C Theoretical Probability
D Neither
Answers
Answer:
A Experimental Probability
Step-by-step explanation:
The 59 percent is based on the data from the actual data. The theoretical probability is 50 percent for male and 50% and female.
Mr. Grimm is trying to build a playground set in his backyard. Part of the playground set will have a slide. The ladder is 5 feet tall, and the slide is 7 feet long. What is the distance between the ladder and the bottom of the slide?
Answers
Answer:
~5 feet.
Step-by-step explanation:
assuming that it is a right triangle. if a=5 and c=7 then b the other leg is equal to the square root of c squared minus a squared. which equals about 4.9
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
where a and b are sides of the triangle and c is the hypotenuse.
from my image we can see:
[tex]c = 7 \\ b = 5[/tex]
so plugging these numbers into the Pythagorean theorum gives
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} + {5}^{2} = {7}^{2} \\ {a}^{2} + 25 = 49 \\ {a}^{2} = 49 - 25 \\ {a}^{2} = 24 \\ a= \sqrt{24} \\ a \: = 4.90[/tex]
so the length from the ladder to the end of the slide is 4.90 feet.
Enter a rational number that is equivalent to
−20/4
Answers
The rational number equivalent to -20/4 is -5.
Explanation:A rational number equivalent to -20/4 is -5. This can be found by dividing the numerator (which is -20) by the denominator (which is 4). The result of this division is -5. Hence, -5 is the rational number equivalent to -20/4.
Jen buys sesame bagels and plain bagels. If the ratio of sesame to plain is 1:3 and Jen bought 2 dozen bagels, what percent of bagels are plain? How many bagels are plain? Suppose each plain bagel has 0.53 gram of salt, and each sesame bagel has 0.65 gram. Use a percent to compare the amount of salt in a plain bagel to that in a sesame bagel.
Answers
Answer:
The number of plain bagels are 18 and it is 75% of the total bagels .
The amount of salt in a plain bagel to that in a sesame bagel is 81.5% .
Step-by-step explanation:
Formula
[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]
As given
Jen buys sesame bagels and plain bagels. If the ratio of sesame to plain is 1:3 and Jen bought 2 dozen bagels .
As one dozens contains 12 items .
Thus
Total number of bagels bought by Jen = 2 × 12
= 24
Let us assume that the x be the scalar multiple of sesame bagels and plain bagels .
Number of sesame bagels = 1x
Number of plain bagels = 3x
Than the equation becomes
x + 3x = 24
4x = 24
[tex]x = \frac{24}{4}[/tex]
x = 6
Thus
Number of plain bagels = 3 × 6
= 18
Part value = 18
Total value = 24
Putting all the values in the formula
[tex]Percentage = \frac{18\times 100}{24}[/tex]
[tex]Percentage = \frac{1800}{24}[/tex]
Percentage = 75 %
Therefore the number of plain bagels are 18 and it is 75% of the total bagels .
As given
Suppose each plain bagel has 0.53 gram of salt, and each sesame bagel has 0.65 gram.
Part value = 0.53 grams
Total value = 0.65 grams
Putting all the values in the formula
[tex]Percentage = \frac{0.53\times 100}{0.65}[/tex]
[tex]Percentage = \frac{5300}{65}[/tex]
Percentage = 81.5 %
Therefore the amount of salt in a plain bagel to that in a sesame bagel is 81.5% .
The quantity best expressed as -3.2 is ___ .
The quantity best expressed as +5.1 is ___ .
blank one possible answers
3.2 feet above sea level
a withdrawal of $3.20
a profit of $3.20
blank two possible answers
a debt of $5.10
a withdrawal of $5.10
5.1 feet above sea level
18 points !!!
Answers
✿ The Quantity best expressed as -3.2 is a Withdrawal of $3.20
Because :
[tex]\heartsuit[/tex] The Value which is expressed above sea level should be Positive.
[tex]\heartsuit[/tex] Profit is always a Positive
[tex]\heartsuit[/tex] Withdrawal's are Negative
✿ The Quantity best expressed as +5.1 is 5.1 feet above sea level
Because :
[tex]\heartsuit[/tex] The Value which is expressed above sea level should be Positive.
[tex]\heartsuit[/tex] Debt and Withdrawals are always Negative
Answer:
first part : a withdrawal of 3.20
second part : 5.1 feet above sea level
Step-by-step explanation:
A leaky faucet is losing water and is filling a 8-gallon bucket every 25 hours.At this rate,how many gallons of water will the faucet leak in 13 hours?
Answers
Answer:
Proportion states that the two fractions or ratios are equal.
As per the given statement: A leaky faucet is losing water and is filling a 8-gallon bucket every 25 hours.
Let x represents the number of gallons of water that faucet leak in 13 hours.
then by definition of proportion;
[tex]\frac{8}{25} =\frac{x}{13}[/tex]
By cross multiply we get;
[tex]13 \times 8 = 25x[/tex]
Simplify:
[tex]104 = 25x[/tex]
Divide both sides by 25 we get;
[tex]x = \frac{104}{25}[/tex]
Simplify:
x = 4.16
Therefore, 4.16 number of gallons of water will the faucet leak in 13 hours
ANSWER THIS PLEASSSSSSSSSS
17. Write a function rule for the following arithmetic sequence and use it to find the 250th term. Show your work.
−3, 1, 5, 9, ….
Function Rule: Determining 250th term:
Answers
First check the difference between terms:
[tex]\{1-(-3),5-1,9-5,\ldots\}=\{4,4,4,\ldots\}[/tex]
So every term differs by 4. The first term in the sequence is [tex]a_1=-3[/tex]. Recursively, the sequence is given by
[tex]\begin{cases}a_1=-3\\a_n=a_{n-1}+4&\text{for }n>1\end{cases}[/tex]
Then
[tex]a_2=a_1+4[/tex]
[tex]a_3=a_2+4=a_1+4(2)[/tex]
[tex]a_4=a_3+4=a_1+4(3)[/tex]
and so on, with the general rule
[tex]a_n=a_1+4(n-1)\implies a_n=4n-7[/tex]
Then the 250th term of the sequence would be
[tex]a_{250}=4(250)-7=993[/tex]
One number is 3 less than twice another. If their sum is 39, find the numbers.
Which of the following systems of equations represents the word problem?
y = 2x - 3 and y = x + 39
y = 2x - 3 and x + y = 39
y = 2(x - 3) and x + y = 39
Answers
y = 2x- 3 and x + y = 39
Explanation:
Twice of a number indicates the 2x in the equation. It’s also 2 less than the 2x. That’s where the 2x-3 part comes from. The question indirectly states to find the sum of x and y. That sum should equal 39We can now plug in the information and get the second part of the equation, x+ y = 39
Answer with Step-by-step explanation:
Let x and y be two numbers.
One number is 3 less than twice another.
⇒ y=2x-3
Their sum is 39.
⇒ x+y=39
Hence, system of equations are:
y = 2x - 3 and x + y = 39
Putting y=2x-3 in x+y=39
x+2x-3=39
⇒ 3x-3=39
⇒ x-1=13 (dividing both sides by 3)
⇒ x=14
y=2x-3
⇒ y=2×14-3
⇒ y=28-3
⇒ y=25
Hence, Two numbers are:
14 and 25