Answers
y = kx
We can use the given (x,y) point to find k.
18 = k * 3
k = 6
Our direct variation is
y = 6x
Now we need x when y = 24.
24 = 6x
x = 4
Related Questions
Without graphing, find the slope of each line described below.
A) A line that goes through the points (4,1) and (2,5)
B) A line that goes through the origin and the point (10,5)
C) A vertical line that goes through the point (6,-5)
D) A line that goes through the points (1,6) and (10,6)
Answers
B) m= (5-0)/(10-0) = 1/2
C) m= undefined
D) m= 0
A) The slope of line that goes through the points (4, 1) and (2, 5) is -2.
B) The slope of line that goes through the origin and the point (10, 5) is
1 / 2.
C) Vertical lines has undefined slope.
D) The slope of line that goes through the points (1, 6) and (10, 6) is 0.
What is Slope?
Slope is defined as the steepness of the line.
Since, Slope of line passes through points (x₁ , x₂) and (y₁ , y₂) is;
m = (y₂ - y₁) / (x₂ - x₁)
Now,
A) The slope of line that goes through the points (4, 1) and (2, 5) is;
m = 5 - 1 / 2 - 4
m = 4 / -2
m = - 2
B) The slope of line that goes through the (0, 0) and the point (10, 5) is;
m = 5 - 0 / 10 - 0
m = 5 / 10
m = 1 / 2
C) A vertical line that goes through the point (6,-5) has undefined slope.
Because the horizontal change is 0 and we cannot divide a number by 0.
D) The slope of line that goes through the points (1, 6) and (10, 6) is;
m = 6 - 6 / 10 - 1
m = 0 / 9
m = 0
Thus,
A) The slope of line that goes through the points (4, 1) and (2, 5) is -2.
B) The slope of line that goes through the origin and the point (10, 5) is
1 / 2.
C) Vertical lines has undefined slope.
D) The slope of line that goes through the points (1, 6) and (10, 6) is 0.
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Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y = eight divided by x squared + 2
Answers
Arthur is treating his friends to a meal at Chez Rich. The meals added up to $152.30. If he tips the waiter 15%, what is the amount of the tip.
a. $20.80
b. $15.24
c. $22.85
d. $13.37
Answers
22.845 rounded to the nearest cent is $22.85.
Therefore, the answer is C. Hope this helps!
Answer:
Option C. $22.85
Step-by-step explanation:
Arthur is treating his friends to a meal at Chez Rich.
The meals added up to = $152.30
He tips the waiter = 15% of the bill
The amount of the tip = 15% × 152.30
= 0.15 × 152.30
= 22.845 ≈ $22.85
The amount of the tip would be $22.85.
Option C. $22.85
3m + 7/2 = −2m + 5/2 the / means there fractions
Answers
3m +7/2 = -2m +5/2
subtract 5/2 from each side
3m +2/2 = -2m
2/2 = 1
3m+1 =-2m
subtract 3m from each side
1=-5m
divide both sides by -5
m = 1/-5 = -1/5
m = -1/5
Graph f(x)=−0.25x+4.
Answers
Hey. Hope this helps!
Answer:
Point, (0,4) and (-4,5), just took the test
Sandy bought a soft drink for 2 dollars and 6 candy bars. she spent a total of 20 dollars. how much did each candy bar cost
Answers
Solve for x. 5x−2(x+1)=1/4
Answers
5x - 2x + 2 = 0.25
3x = 0.25 - 2
3x/3 = -1.75/3
x = - 0.583
hope this helps
5x - 2x + 2 = 0.25
3x = 0.25 - 2
3x/3 = -1.75/3
x = - 0.583
yes ik i copied but points are worth more than integrity
True or False: Is the number 2 a solution to 7≥−3k
I'm not sure about this. Please explain
Answers
Simplify 4x2(2x2− 8x + 6). 8x2− 32x + 24 6x2− 32x + 24 6 − 32x + 24x2 8x4− 32x3+ 24x2
Answers
(4*3)(x^(2+2))+(4*-8)(x^(2+1))+(4*6)(x^(2+0))
12x^4-32x^3+24x^2
What is the square root of 53 rounded to the nearest hundreth
Answers
7.28010988928
A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak.
Answers
A= value of the first term
n= the number of the term you want to find
r= common ratio
value of r is = 2/3 because 27 times 2/3 = 18 which is the second term
n = 4 since you want to find the 4th term in the sequence
Plug it in and results are
4th term = 27(2/3)^(4-1) = 8
The answer is 8
Hope this helps!
[tex]a_n=a_{n-1}-\frac{a_{n-1}}{3}[/tex]
Here:
[tex]a_4=a_3-\frac{a_3}{3}=12-\frac{12}{3}=12-4=8[/tex]
Compute the mean, variance, and standard deviation for the following data set. Round all answers to the nearest tenth. {85,95,90,70,75,95,85,85,95,90,70,75}
Answers
You add all the numbers together and divide by the amount of numbers
Leena knits 10 rows in 12 min. At this pace, how long will it take her to knit the next 25 rows? Enter your answer in the box. min
Answers
10 rows = 12 mins
10 rows = 12 mins
5 rows = 6 mins
----- -----
25rows 30 mins
5r=6m
25r=?m
25r=30m
It will take her 30 minutes to knit 25 rows
The question that says " a school has 1200 pupils "
Answers
how many boys like sports? well, what's 3/5 of 1200? 3/5 * 1200.
[tex]\bf \cfrac{2}{5}\cdot 1200\implies \cfrac{2\cdot 1200}{5}\implies \cfrac{2400}{5}\implies \stackrel{girls}{480} \\\\\\ \cfrac{3}{5}\cdot 1200\implies \cfrac{3\cdot 1200}{5}\implies \cfrac{3600}{5}\implies \stackrel{boys}{720} \\\\\\ \textit{how many }\stackrel{students}{pupils}\textit{ like sports?}\qquad 480 + 720[/tex]
How many 1/3 pound paperback books together weigh 25 pounds?
Answers
We can find the quantity of 1/3 pound paperback books that weigh a total of 25 pounds by performing the calculation, 25 ÷ 1/3 or equivalently, 25 x 3, which equals 75. Therefore, we would need 75 of these books to total 25 pounds.
Explanation:To find out how many 1/3
pound
paperback
books weigh a total of 25 pounds, we use division. Since each book weighs 1/3 of a pound, we divide the total weight we want (25 pounds) by the weight of each individual book (1/3 pound). So, our calculation would look like this:
25 ÷ 1/3
. In mathematics, dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of 1/3 is 3/1, or just 3. So, our calculation is now:
25 x 3
. Multiplying 25 by 3 gives us 75. So, we would need
75
of these paperback books to
weigh
a total of 25 pounds.
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A Chef buys 9 cucumbers, 18 peppers and 21 tomatos at the farmers market. Cucumbers ae 6 for $2, pEPPERS ARE 12 for $9 and tomatoes are 6 for $4
Answers
Cucumber: 2$/6 pieces= $0.33 /piece
Pepper: $9/12 pieces= $0.75/piece
Tomatoes: 4$/6 pieces= $0.66/piece
Then the total cost for the chef shopping item would be: 9 * $0.33 + 18 * $0.75 + 21* $0.66= $3 + $13.5+ $14= $30.5
Find the value of y for a given value of x, if y varies directly with x. If y = –96 when x = 32, what is y when x = 58?
Answers
What is 334.54 + 198 grams
Answers
hope this helps
Question: Is this a significant figures question?
ANSWER round to the significant figures: 533 grams
When you do addition you use the number with the least number of decimals places to determine how many decimal places will be in your answer. There are no decimal places in 198 so you would round before the decimal place in the answer (ones place).
PLEASE HELP QUICK!!!!!
WILL GIVE BRAINIEST TO FIRST ANSWER
Solve the inequality below for t.
9 - 7t > -9 - 4t
A. t is greater than or equal to 0
B. t is less than or equal to 0
C. t is grater than or equal to 6
D. t is less than or equal to 6
Answers
Solve for " t " by simplifying both sides of the inequality, then Isolating the variable.
Hoped this helped.
If 3^2x+1=81, what is the value of x?
x=1/4
x=1/2
x=3/2
x=2/3
Answers
3^(something)=81
3^4=81. I know this because 3X3X3X3=81
If I know 3^4=81, then I need to find a solution to get 4 for my exponent.
Let's solve.
2x+1=4
2x=3
x=3/2
Please help, this is due in 5 minutes
Answers
usually car dealers will say, you need to pay some processing fee, a flat-fee, and after that, you get charged for the "wear and tear" of the car, so by the mileage you drive, the more miles you drive, the more wear and tear, therefore, the more you pay, the less you drive, the less you pay.
0.15x <---- 15 cents for every "x", miles
if you drive 200 miles you owe 0.15(200)
300 miles the 0.15(300) and so on.
the 22, is never changing in that equation, is a constant, just like the flat-fee.
[tex]\bf \stackrel{cost}{y}=\stackrel{\textit{15c per mile}}{0.15x}+\stackrel{flat-fee}{22}[/tex]
What is the slope of this graph?
Answers
Now, on the line, I plotted (0, 2) and (-2, 10).
You would now plug this into the rise/run formula.
The formula is [tex] \frac{y2 - y1}{x2 - x1} [/tex]
The equation would become,
[tex] \frac{10 - 2}{-2 - 0} [/tex] = [tex] \frac{8}{-2} [/tex] = -4
I believe the answer would be -4.
I hope this helps!
If a parent function is y=2x which is the function of the graph
Answers
if the line is on the positive side then your answer is "y=2^x+1 +2"
if the line is on the negative side your answer is "y=2^x-1 +2"
Positive always goes with positive
The slope of the line below is –. Write a point-slope equation of the line using the coordinates of the labeled point.
A. y + 4 = 8/7 –(x + 4)
B. y – 4 = 8/7–(x – 4)
C. y – 4 = 8/7(x – 4)
D. y + 4 = 8/7(x + 4)
Answers
A rectangular prism has a length of 3/4 cubic inch and a width of 1/2 inch. The volume is 21/32 cubic inch. Find the height of the prism. Write your answer as a mixed number in simplest form.
Answers
21 / 32 = (3 / 8) * height
21 / 32 * (3 / 8) = height =
63 / 256 inches
Answer:
[tex]\texttt{Height of the prism}=1\frac{3}{4}[/tex]
Step-by-step explanation:
Volume of rectangular prism = Length x Width x Height
[tex]\texttt{Volume of rectangular prism =}\frac{21}{32}\\\\\texttt{Length =}\frac{3}{4}\\\\\texttt{Breadth =}\frac{1}{2}[/tex]
Substituting
[tex]\frac{21}{32}=\frac{3}{4}\times \frac{1}{2}\times h\\\\h=\frac{7}{4}=\frac{4+3}{4}=1\frac{3}{4}[/tex]
[tex]\texttt{Height of the prism}=1\frac{3}{4}[/tex]
At a point on the ground 24ft from the base of a tree, the distance to the top of the tree is 4ft more than 3times the height of the tree. find the height of the tree.
Answers
Can someone help me with this please? And can you explain why that answer is right
Answers
hope that helps, God bless!
HELP PLZ!!
Solve for x: −3(x + 3) = −3(x + 1) − 5. (1 point)
6
−6
All real numbers
No solution
Answers
Multiply everything in the parenthesis by -3.
-3x - 9 = -3x - 3 - 5
Combine like terms.
-3x - 9 = -3x - 8
Add 9 to both sides.
-3x = -3x + 1
Add 3x to both sides.
0 = 1
This means that there is no solution.
Hope this helps!
How to write three times the difference of two times m and five is equal to eight times m to the second power increased by four in a problem?
Answers
Write an equation of the line that passes through the points (−3,12) and (0,6)
An equation of the line is y=
Answers
b = 6
so
An equation of the line is
y = -2x + 6