If a varies jointly as b and c,
and a=6 when b=2 and a=3.
Find the variation constant and
the equation of variation.
Given:
a varies jointly as b and c.
a=6 when b=2 and a=3.
To find:
The variation constant and the equation of variation.
Solution:
a varies jointly as b and c.
[tex]a\propto bc[/tex]
[tex]a=kbc[/tex] ...(i)
Where, k is the constant of proportionality.
a=6 when b=2 and a=3.
[tex]6=k(2)(3)[/tex]
[tex]6=6k[/tex]
[tex]\dfrac{6}{6}=k[/tex]
[tex]1=k[/tex]
The value of k is 1.
Putting k=1 in (i), we get
[tex]w=1xy[/tex]
[tex]w=xy[/tex]
Therefore, the variation constant is 1 and the equation of variation is [tex]w=xy[/tex].
The pizza costs £18.00. Mark agrees to pay 1/4 of the cost. Samuel agrees to pay 1/2 of the cost Imran agrees to pay the rest. How much does Imran pay?
Answer:
4.5 or 4.50 dollars
Step-by-step explanation:
if we split 18.00 into [tex]\frac{1}{4}[/tex] each part of the fraction would be 4.5 . or 4.50
mark pays 4.50
samuel pays 9.00
add those both and you'll get 13.50 $
now subtract 13.50 from 18.00 ( og price)
imran pays 4 . 5 0
hope this helped :p
the water level in a ocean bay changes at an average rate of 3 meters per hour. at this rate how many hours would it take for the water level to change 12 meters
Answer:
4 hours
Step-by-step explanation:
3 meters - 1 hour
12 meters/3 meters = 4!
Two straight lines have equations y = px + 4 and py = qx – 7, where p and q are constants.
The two lines meet at the point (3, 1).
What is the value of q?
Answer:
answer = 4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
x=\sqrt(24-2x)
Give Steps
Answer:
Remove the radical by raising each side to the index of the radical.
x
=
4
Step-by-step explanation:
Marshall uses 10 ounces of pineapple
juice to make 25 ounces of fruit punch.
How many ounces of pineapple juice
does he need to make 150 ounces of fruit
punch?
Answer:
20 ounces
Step-by-step explanation:
the ratio for 10 ounces of pineapple juice to make 25 ounces of fruit punch is 2:5
so x:150
x = 20
please help due asap
Answer:
d.
a triangle equals 180 degrees
Not every straight line will pass the vertical line test. What is the only type
of straight line that would fail the vertical line test? *
A-horizontal line
B-vertical line
C-Option 3
Answer:
Step-by-step explanation:
What's option 3?
Anyway, that's not the answer
The answer is a vertical line. x = - 3
Every y on that line is a possible answer for y. So x has an infinite number of y values associated with it.
Which angle number is adjacent to angle to ZOKL?
Answer:
there aint no picture
Step-by-step explanation:
the graph shows a relationship between the number of times a gear can rotate in a period of time?which of the following statements is true?
Answer:
Where is the statements?
Step-by-step explanation:
3х + 2 = 4 - 5x
help
Graph y= –3x+4. (I WILL MARK BRAINLIEST)
Answer:
See attached
Step-by-step explanation:
Given function:
y= –3x + 4To graph the line we need two points
One of the easy points is the y-intercept:
(0, 4)Another point can be taken depending on the slope. With the slope of -3, we select x = 2 and find its y- coordinate:
y = -3(2) + 4 = -6 + 4 = -2So we have points
(0, 4) and (2, -2)Plot these points and connect with the line and we are done.
The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Sports Committee, and the Sunshine Committee. a. The Sports Committee wants to use its share of the money to purchase t-shirts. If each t-shirt costs $12, what is the greatest number of t-shirts the Sports Committee can purchase? ANSWER NOW PLEASE!!!!
Answer:
77
Step-by-step explanation:
$2790 is shares equally between 3 committees. each committee would get - $2790 / 3 = $930
If a shirt costs $12 and the Sports Committee gets $930, the committee would get $930 / $12 = 77.5
The committee cannot get half a shirt, so the greatest number of shirt that can be purchased is 77
Caleigh had a jewelry box with a volume of 14 cubic inches. The area of the base is 7 square inches. What is the height of caleigh’s jewelry box
Answer:
2 in
Step-by-step explanation:
Given data
Area= 7 in^2
Volume= 14 in^3
from
Volume= Area* height
substitute
14= 7*x
divide both sides by 7
x=14/7
x= 2 in
Hence the height is 2 in
Find the slope , thank you
There were 160 Smarties in the candy box
yesterday. Today there are only 116
Smarties in the box. What is the percent of
decrease?
Question 3(Multiple Choice Worth 1 points)
(05.04 MC)
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the outlier is included, then the mean is 84. Which statement is always true about the new data when the outlier is removed?
The mean would decrease.
The mean would increase.
The median would decrease.
The median would increase.
Answer:
The mean would increase
Step-by-step explanation:
The mean would increase
78 is lower than the mean so if you take out a value that's lower than the mean it would obviously increase
How to simplify 1/2
Somebody help meeeee
Step-by-step explanation:
1/2 cannot be simplified, however you can solve this question by shading in the other half of the left square, and taking away a shade on the right one :)
Answer:
ok you can not simplify 1/2 but you can make it a higher proportion basically, one square can be one shaded purple of of the two rectangles and the other could be 4 different squares with two shaded purple
what is the sum of 3 4/5 and 1 1/3?
Answer:
5 2/15 is the answer
The sum of two numbers is 10. Their difference is 6. What are the two numbers?
Answer: 8 and 2
Step-by-step explanation:
this is simple, since we only have 10 numbers to work with. i just kept experimenting with numbers until i got one that had a difference of 6. no strategy, just brain power. hope this helps! xoxo
Answer:
So negatove numbers are gonna be impossible becuase we know that the highest we can go is -10+20=10 but it’ll give a whole different difference when subtracted.
And it can’t be greater then 10 becuase if you do add them it won’t be 10
SO it has to be between 1-10
So what equals 10?
5/5
2/8
8/2
6/4
4/6
3/7
7/3
Now 5 and 5 is out cause if subtracted its 0
2/8 and 8/2 works, if added you get 10 but when subtracked the way for 8/2 from left to write it’ll give 6 which is the only one which will give.
final answer the two numbers are 8 and 2
what is the length of the diagonal C
then find the length of diagonal D
Answer:
d = √389
Step-by-step explanation:
to find c we use 15 and 8 into the formula of "a^2 + b^2 = c^2" which is 17. Now we use 17 and 10 as a and b to find c in the formula which is d.
a^2 + b^2 = c^2
10^2 + 17^2 = x^2
100 + 289 = x^2
389 = x^2
√389 = √x^2
√389 = x
The lowest recorded temperature in a town was 4ºF, without the windchill. With the wind, the temperature felt like 10ºF below zero. On a number line, what is the distance between the two temperatures?
6
7
14
15
Answer:
umm it think it is 14
Step-by-step explanation:
Answer:c
Step-by-step explanation:
A system of two linear equations is graphed on a coordinate plane.If the system has infinitely many solutions, which statement must be true
Answer:
On the graph, any point (x,y) that satisfies one of the equations must also satisfy the other equation.
Step-by-step explanation:
Hope this helped!
Have a supercalifragilisticexpialidocious day!
A number x is less than 1/4
Answer:
Step-by-step explanation:
1/2
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
the middle sign
Step-by-step explanation:
F∝a
If F =48 when a =3
find, F when a = 4
Answer:
64
Step-by-step explanation:
because 48 divided by 3 is 16
and 48 plus 16 is 64
Using the number 4236, how many numbers up to 20 does it divide without a reminder?
Is there a pattern?
What can you say about these numbers?
Please answer ASAP
Answer:
6 numbers it can be divided without a reminder. They are also even numbers.
Line segment GH is divided by point J in the ratio of 1:4. Endpoint G is at (7,5) and point J is at (10, 14).
What are the coordinates of endpoint H?
1. (57,75)
2. (-5, -31)
3. (22,50)
4. (78,90)
Answer:
(x2 , y2) = (22,50)
Step-by-step explanation:
Given:
m1 : m2 = 1:4
(x1 , y1) = (7 , 5)
(X ,Y) = (10 ,14)
Find:
(x2 , y2)
Computation:
X = (m1x2 + m2x1) / (m1+m2)
10 = [(1)(x2) + (4)(7)]/(1+4)
10 = [x2 + 28]/5
22 = x2
Y = (m1y2 + m2y1) / (m1+m2)
14 = [(1)(y2) + (4)(5)]/(1+4)
14 = [y2 + 20]/5
70 = y2 + 20
50 = y2
(x2 , y2) = (22,50)
Given the lengths of sides XY and XZ as shown in triangle XYZ below, what is the length of side YZ?
a. 5√13
b. 12
c. √194
d. 18
e. 5√5
Answer:
YZ = 12
Step-by-step explanation:
From the question given above, the following data were obtained:
Length of XZ = 13
Lenght of XY = 5
Lenght of YZ =?
The length of YZ can be obtained by using pythagoras theory since the figure is a right angle triangle. This can be obtained as follow:
XZ² = XY² + YZ²
13² = 5² + YZ²
169 = 25 + YZ²
Collect like terms
169 – 25 = YZ²
144 = YZ²
Take the square root of both side.
YZ = √144
YZ = 12
Therefore, the length of YZ is 12
whats the area of the triangles please help