Answer:
Option C: 24 is the correct answer.
Step-by-step explanation:
Given that:
Jason used 0.5 cup of kernels to make 16 cups of popcorn
Ratio of cup of kernel to cups of popcorn = 0.5 : 16
Let,
x be the cups of popcorn made from 0.75 cups of kernel
Ratio of cups of kernel to cups of popcorn = 0.75 : x
This is a direct proportion as the cups of kernel is increasing.
0.5 : 16 :: 0.75 : x
Product of mean = Product of extreme
16*0.75 = 0.5x
12=0.5x
0.5x=12
Dividing both sides by 0.5
[tex]\frac{0.5x}{0.5}=\frac{12}{0.5}\\x=24[/tex]
Jason can make 24 cups of popcorn from 0.75 cups of kernel.
Hence,
Option C: 24 is the correct answer.
-3/4(x-3)-5= 1/8 (x-1)
Answer:
It’s -3
You should just simply multiply them and then get the answer.
PLEASE SOMEONE DO THIS FOR ME: Determine the x - and y - intercepts of the following linear function: 4x + 8y =16
4x+8y=16
4x/4+8y/8=16÷4/8
x+y=16×8/4
x+y=16×2
x+y=32
Find the circumference of a circle whose area
is 38.5 m²
Answer:
12.41m
Step-by-step explanation:
Well, if we divide by the hypotenuse of the Pythagorean Theorem due to the angle created between the divisions on the scale between the 8th and 7th degree law of the Mathematical Institution of Nigeria, Ghana and Ethiopia (MINGE), then we get the result of 12.41.
help me answer this please!!!
Answer:
Step-by-step explanation:
20 + 20 + x = 180
x = 140
Answer:
140° ?
Step-by-step explanation:
Since Angle CAD is 20°, and CEA is 180°. Angle CED has to equal to 20°. I added angle CAD to CED and got 40°. Then I subtracted 40 from 180 and got 140 °.
Hope this Helps!!!
please, someone help me
Answer:
the equation of the parabola in vertex form is y=3(x+2[tex])^{2}[/tex]-4
Step-by-step explanation:
Help with both questions please
First one is -1. The second one is 1/2.
Write the number 1.7 x 10^-5 in standard form
Answer:
0.000017x
I hope this is correct
Pls help really fast I don't know this!!!!!
I think it's (3,4) but I am not confident so please be understanding
Answer:
(3, 1 )
Step-by-step explanation:
The centre of the circle is at the midpoint of the diameter.
Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then
midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )
Thus centre of circle = (3, 1 )
Write a fraction that is equivalent to 3/4 with a denominator of 20
Answer:
15/20
Step-by-step explanation:
1. Take the denominator of 3/4 and multiply it by 5 because that is what it takes to get 20 from 4.
4 x 5 = 20.
2. Multiply the numerator by 5 as well.
15/20
Answer:
3 / 4 = 15 / 20
Step-by-step explanation:
I think thats right
BRAINLIEST! As a dolphin swims along the side of a cruise ship, he jumps to a height of seven meters above the water surface and dives to a depth of seven meters below the surface. He does this in a regular motion (simple harmonic motion). A passenger starts a stopwatch just as the dolphin is coming up to the surface. The passenger determines that the dolphin completes one cycle every 6 seconds.
PLS! MARK ME AS A BRAILIEST......
Multiple choice question: A square mosaic is made of small glass squares. If there are 196 small squares
in the mosaic, how many are along one edge? Image is of a mosaic, not the
problem. *
O 14 squares
O 49 squares
O 98 squares
O 16 squares
Answer:
14 squares
Step-by-step explanation:
1. We know if the mosaic is a square shape, all sides are the same length and consist of the same amount of squares
2. Area is L×W, so in this case A×A=196
3. We can test this by replacing A with 14 and seeing if the answer is correct.
4. 14×14=196 is true
This can also be done by finding the square root of 196.
Lavinia is standing at point A(4,8, 2). This is the starting point of a mountain hike. The end of the hike is at point B(6, 12, 10). There is a rest stop half way between A and B.
1. Find the coordinates of the rest stop.
2. Find the total distance from A to B.
Answer:
Question 1: b) Find the total distance from A to B
Distance formula:
d=Square root of (x2-x1)^2+(y2-y1)^2+(z2-z1)^2
d=Square root of (6-4)^2+(12-8)^2+(10-2)^2
d= 9.165 = 9.17 units
Answer:
1 a
Use the midpoint formula:
m=x1+x2/2, y1+y2/2, z1+z2/2
m= 4+6/2 ,8+12/2, 2+10/2
m= (5 ,10, 6)
Step-by-step explanation:
Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number
Answer:
The answer is below
Step-by-step explanation:
Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number from coop D. How many eggs did each coop produce
Solution:
a) Let the number of eggs from coop A be w, number of eggs from coop B be x, number of eggs from coop C be y and number of eggs from coop D be z.
x = 2/5(w - 10) (1)
y = (3(w + 3) - 4)/4
y = (3w + 5) / 4 (2)
z = 2(w + 7)/3 (3)
b) Given that w = 125 eggs:
x = 2/5(125 - 10) = 46 eggs
y = (3(125) + 5) / 4 = 95 eggs
z = 2(125 + 7)/3 = 88 eggs
c) x + y = z + 24.
i.e. 2/5(w - 10) + (3w + 5)/ 4 = 2(w + 7)/3 + 24
multiply through by 60:
24w - 240 + 45w + 75 = 40w + 280 + 1440
69w - 165 = 40w + 1580
29w = 1885
w = 65 eggs
x = 2/5(65 - 10) = 22 eggs
y = (3(65) + 5) / 4 = 50 eggs
z = 2(65 + 7)/3 = 48 eggs
The mean per capita income is 21,604 dollars per annum with a standard deviation of 727 dollars per annum. What is the probability that the sample mean would be less than 21635 dollars if a sample of 193 persons is randomly selected?
Answer:
0.72321
Step-by-step explanation:
Given that :
Mean = 21604
Standard deviation (s) = 727
Sample size (n) = 193
P(x < 21635) :
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s/√n
Z = (21635 - 21604) / 727/√193
Z = 31 / 52.330605
Z = 0.5923875
P(Z < 0.5924) = 0.72321 (Z probability calculator)
p(Z < 0) = 0.5 ( Z probability calculator)
Which statement about these triangles is true
Answer:
c
Step-by-step explanation:
I WILL GIVE BRAINLIEST PLZ!
What are the answers here?
Answer:
1) =3
2)and 3) y-3x-2
Step-by-step explanation:
Hope that help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Each triangle weighs 2.5 pounds,each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger.
Step-by-step explanation:
x+x+x+x+2.5(2)+3(2)=x+x+2.5+3(3)
4x+5+6=2x+2.5+9
4x+11=2x+11.5
-11 -11
4x=2x+0.5
-2x -2x
2x=0.5
x=0.25
The equation that can be used to represent the hanger is x + x + x + x + 11 = x + x + 11.5, and 4x + 2.5 + 2.5 + 6 = 2x + 2.5 + 3 + 3 + 3
Given:
Each triangle = 2.5 pounds
Each circle = 3 pounds
Each square = x pounds
The hanger has two sides
Side 1:
squares = 4
Triangle = 2
Circle = 2
Side 2:
Squares = 2
Triangle = 1
Circle = 3
The equation:
side A = side B
4(x) + 2(2.5) + 2(3) = 2(x) + 1(2.5) + 3(3)
4x + 5 + 6 = 2x + 2.5 + 9
4x + 11 = 2x + 11.5
x + x + x + x + 11 = x + x + 11.5
Therefore, equation that can be used to represent the hanger is x + x + x + x + 11 = x + x + 11.5, and 4x + 2.5 + 2.5 + 6 = 2x + 2.5 + 3 + 3 + 3
Read more:
https://brainly.com/question/16450098
100% as a fraction in simplest form
Answer:
1
Step-by-step explanation:
100/100 =
1
srry if wrong but
hope this helps
take care
In ΔSTU, s = 730 cm, t = 270 cm and ∠U=125°. Find the length of u, to the nearest centimeter.
Answer:912
Step-by-step explanation:
deltamath
how to graph and solve linear functions
how to solve g(x)=-3x-1
Answer:
I will explain the equation
in a graph, the slope will look like this
The Y Intercept is -1, and the slope is -3, as in it will go downward
For every 1x, the slope will go downward by 3.
A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship?
Yes, y = 2x.
Yes, y = 20x.
No, y = x + 10.
No, y = x + 20.
Answer: yes , y=2x
Step-by-step explanation:
took the test.
Answer:
A on edge!
Step-by-step explanation:
Have a good day! :3
Someone please answer these questions I need help!! :(
Answer:
4. the answer is 20
5. x=12 y=30
6. MLV = TUV bySSS
7. ABC=HGF by SSS
to show work:
4. 15/12=25/x (cross multiply)
=15x=300 (divide both sides by 15)
= x=20
5. the triangle is equilatieral so all the angles are the same. this means 60=2y.
if you isolate the variable and divide both sides by 2, you get y=30
6. 49/14 = 28/8 ?
if you solve both the division problems, they both equal 3.5, meaning the side lengths are the same so the rule would be SSS or side side side
and you do the same thing with the next triangle too
hope this helps!! also brainliest would be nice but you dont have to
b - 9 = 21
linear equations
Answer: b=30
Step-by-step explanation: add 9 to both sides
b−9+9=21+9
b=30
add 9 from 9 this will cancel out the nine then add 9 to 21 and what ever u get is ur answer b=30
Step-by-step explanation:
b-9=21
+9
Complete the point-slope equation of the line through (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (7,4)(7,4)left parenthesis, 7, comma, 4, right parenthesis. Use exact numbers. y-4=y−4=y, minus, 4, equals
Answer:
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (7,4)[/tex]
Required
Complete the equation y - 4.....
First, we need to determine the slope as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4 - 3}{7 - 2}[/tex]
[tex]m = \frac{1}{5}[/tex]
The equation is then calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 4 = \frac{1}{5}(x -7)[/tex]
Open bracket
[tex]y - 4 = \frac{1}{5}x -\frac{7}{5}[/tex]
Add 4 to both sides
[tex]y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x +\frac{-7+20}{5}[/tex]
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Answer:
y - 4 = 1/5 ( x - 7 )
Step-by-step explanation:
Khan Academy
please answer I will give 20 and brainiest
Answer:
#1
Step-by-step explanation:
-7- Go back 7 numbers from 0
6- Go foward 6 numbers from -7
-4- Go down 4 numbers from -1
-7+6=-1
Go four down from -1
(-1,-4)
Hope this helped :)
write the constant of proportionality (k). Write an equation (y=kx)
Answer: hmmmm
Step-by-step explanation:
5x + 2x + 2 = 9x + 4
Step-by-step explanation:
Given
5x + 2x + 2 = 9x + 4
9x - 5x - 2x = 2 - 4
9x - 7x = - 2
2x = - 2
x = - 2 / 2
Therefore x = -1.
therefore lhs is equal to rhs
Work out the equation of the straight line which has a gradient of 2
Note: It seems you may forget to write the complete statement. Maybe you should have either mentioned the y-intercept or any other point to work out the equation.
Anyways I am assuming your complete statement is ''Work out the equation of the straight line which has a gradient of 2 and passes through (1, 4)''.
Answer:
We conclude that the equation of a line using the slope-intercept form is
[tex]y=2x+2[/tex]Step-by-step explanation:
I am assuming your complete statement is ''Work out the equation of the straight line which has a gradient of 2 and passes through (1, 4)''.
The slope-intercept form of the equation
[tex]y=mx+c[/tex]
Here
m is the slopec is the y-interceptSubstituting the point (1, 4) and m=2 to determine the y-intercept
[tex]y=mx+c[/tex]
[tex]4 =2(1)+c[/tex]
[tex]4 = 2+c[/tex]
[tex]c = 4-2[/tex]
[tex]c = 2[/tex]
Thus, the equation of a line using the slope-intercept form is
[tex]y = mx+c[/tex]
m=2c=2[tex]y=2x+2[/tex]
Therefore, we conclude that the equation of a line using the slope-intercept form is
[tex]y=2x+2[/tex]Answer:
you are missing part of your question
Step-by-step explanation:
Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each. What is the relationship between the amount of candy sold and the amount of money earned?
The relationship is linear.
The relationship is non-linear.
The relationship is proportional.
The relationship is non-proportional.
The relationship always results in a positive profit.
The relationship always results in a negative profit.
Answer:
linear and positive profit
Step-by-step explanation:
