Answer:
✅[tex] R = 4c [/tex]
Step-by-step explanation:
The equation that will represent the amount raised after selling the cakes to be written in slope-intercept form is given as [tex] y = mx + b [/tex].
Where,
y = R (amount of cake sold in dollars)
x = c (cakes sold)
m = slope
b = y-intercept.
The equation would look like:
[tex] R = mc + b [/tex]
We need to find the value of m and b, to get an equation to represent the situation.
The first point we have from the information given is (15, 60) => 15 cakes sold for $60.
The second point is (22, 88) => 22 cakes sold for $88.
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{88 - 60}{22 - 15} = \frac{28}{7} = 4 [/tex]
To find b, substitute c = 15, R = 60 and m = 4, into [tex] R = mc + b [/tex].
[tex] 60 = 4(15) + b [/tex]
[tex] 60 = 60 + b [/tex]
[tex] 0 = b [/tex]
Since b = 0, this means there is a proportional relationship between R and c.
Substitute m = 4 and b = 0 into [tex] R = mc + b [/tex] to derive an equation to represent the amount R Natalia and her friends raised after selling c cakes.
[tex] R = 4c + 0 [/tex]
✅[tex] R = 4c [/tex]
answer if you have the ability to
Answer:
A is the answer.
Determine if this data is an example
of a function.
(-2,5); (0, 3); (-2, 8); (1, 14)
Relation
Function
Answer:
Step-by-step explanation:
it is not a function because -2 has two y values
If f(x)= -4x + 3 and g(x) = 3x² + 2x - 4 find (f+g)(x)
Answer:
A
Step-by-step explanation:
We have the two functions:
[tex]f(x)=-4x+3\text{ and } g(x)=3x^2+2x-4[/tex]
And we want to find (f+g)(x).
Note that this is the same thing to f(x)+g(x). Therefore:
[tex]\begin{aligned} (f+g)(x)&=f(x)+g(x) \\ &=(-4x+3)+(3x^2+2x-4) \end{aligned}[/tex]
We simply substituted them for their equations.
Simplify. Combine like terms:
[tex]=(3x^2)+(-4x+2x)+(3-4)[/tex]
Add:
[tex]=3x^2-2x-1[/tex]
Hence, our answer is A.
Please can someone help me
Answer:
60degree ...........
Determine which trig function can be used to solve for x. Then, solve for x, 48° 17 Make sure your calculator is operating in "Degree Mode if applicable. Round your answer to the nearest tenth.
Answer:
x=18.9
Step-by-step explanation:
tan48=x/17
17tan(48)=x
18.9=x
plz help me
is 7/3 less than 6
Answer:
yes
Step-by-step explanation:
I figured this out by determining how many times 3 fits into 7.
7/3 is equal to 2 and 1/3
2 1/3 < 6
Hope this helps <3
please give brainliest
CAN SOMEONE PLZ HELP MEI BEG U ILL DO ANYTHING JUST HELP ME!!!!
Answer:
you can draw < > ≤ ≥ as duck mouths or something.
and the symbol ≠ can be inputed as a wire or dog leash, so if I had to draw this, draw a park where there is a lake on the right side then have a bench where an old man or a little child is feeding ducks with little bits of breab with its beaks opened then have like, a girl jogging with her dog and put ≠ as a leash for the dog and that's all I got. If you want more add street lights hanging above like triangles.
put 1.12 2.10 3.11.40 4.10.48 5.10.95 6.10.72 7.11.53 in a number line
Answer:Add them up
Step-by-step explanation:
Which equation correctly shows the relationship between the numbers 6,560 and 656?
Answer:
656×1000
Step-by-step explanation:
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (10,5), (-8,9)
Line 2: (2, - 4), (11, -6)
The slope of line 1 is...
The slope of line 2 is...
These 2 lines are...
Answer:
The Slope of Line 1 is -> [tex]-\frac{2}{9}[/tex]
The Slope of Line 2 is -> [tex]-\frac{9}{2}[/tex]
These two lines are - > Perpendicular
Step-by-step explanation:
To find the slope of line one, you follow these steps:
First Coordinate 10 -> x1, 5 -> y1
Second Coordinate -8 -> x2, 9 -> y2
Then insert the assigned values into this equation: [tex]\frac{y2-y1}{x2-x1}[/tex] -> [tex]\frac{9-5}{-8-10}[/tex] which equals [tex]\frac{4}{-18}[/tex] which simplifies to [tex]-\frac{2}{9}[/tex]
Then do the same process to find the slop of line 2:
First Coord: 2 -> x1, -4 -> y1
Second Coord: 11 -> x2, -6 -> y2
Then insert the values into this equation: [tex]\frac{y2-y1}{x2-x1}[/tex] ->[tex]\frac{11-2}{-6-(-4)}[/tex] which equals [tex]\frac{9}{-2}[/tex].
We know the lines are perpendicular by:
a. Typing the equations of the lines into a graphing calculator and observing the graph
b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.
Hope this helps!
Help please this is urgent☹️
Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R.
This question is incomplete, the complete question is;
Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R(10cm)
What is the maximum volume?
Answer:
a) Dimensions of the cylinder are; Radius = 8.1650 cm , Height = 11.547 cm
b) the maximum volume is 2418 cm³
Step-by-step explanation:
From the image
radius of the sphere is 10cm
radius of the cylinder is x and its height is 2y
so
The volume of cylinder is V = πr²h = πx²(2y)
Get V as function of just one variable x² + y² = 100
x² = 100 - y²
Therefore V = π( 100-y² )(2y) = 200πy-2πy³
V will be a maximum when V' = 0
V' = 200π - 6πy² =0
y² = 200π / 6π = 100/3
y = √(100/3) = 5.7735
x² = 100 - y²
x² =100 - (100/3)
x = √(200/3)
x = 8.1650
So The maximum volume will occur when the radius is 8.1650 cm
and the height 2y is 2(5.7735) = 11.547 cm
The maximum volume is
πr²h = π(8.1650)² (11.547 )
= 2418 cm³
Therefore the maximum volume is 2418 cm³
what is 2/5 of 1 7/8
Answer:
0.75
Step-by-step explanation:
I think
Answer:
0.75 or something like that
Step-by-step explanation:
Let R be the region bounded by a triangle whose vertices are (0,0), (0,2) and (2,2). Find the volume generated when R is revolved about the X-axis.
a. Using the Washer Method
b. Using the Shell Method
Answer:
a
Step-by-step explanation:
i think
Helps PLEASE?!
What is the equation of line A? and
What is the equation of line B?
Answer:
Line A: [tex]y=1.5x+1[/tex]
Line B: [tex]y=-1/3 x[/tex]
I hope this helps and good luck!
Name the relationship: complementary, linear pair, vertical, alternate interior, corresponding, or
alternate exterior.
Answer:
Linear pair
Step-by-step explanation:
Angle a and angle b are adjacent angles formed at the point of interception of two straight lines that intersects.
Thus, they are angles formed on a straight line. Angles on a straight line sum up to give 180°, since a straight line angle measures 180°.
Thus, angle a and angle b are regarded as linear pair angles. They are supplementary.
Your friend says that 14.5% is same as the fraction 29/200. explain whether your friend is correct or incorrect by comparing the two values
14.5% = 0.145
Step-by-step explanation:
The term 'percent' (%) actually means per 100. So when you say 14.5% it means 14.5 per 100. So when you put that into an equation it actually means:
So when you solve it, 14.5% is actually 0.145 and not 14.5.
Your friend is then incorrect because:
14.5% ≠ 14.5
Answer:
Your friend would be correct. 14.5% divided by 100 is equal to 0.145. When you divide 29/200 you also get 0.145, if you multiply it by 100 you get 14.5%.
ions
How many solutions does this equation have?
1 solution
x + 3 + x + 3 = - (x + 4) + (3x - 2)
No solution
Infinite solutions
Explain your thinking
Answer:
I am not certain but I think it's no solution but how the number of X's their is and won't have it's value, it's by themselves
-11, -8,-5, -2...
What is the 100th term in this sequence?
Answer:
298.
Step-by-step explanation:
formula- n in the next term is (n+3)
basically adding three
3x100=300
-2+300=298
Please help 30 points for a quick response!!
I don’t understand this at all pls help I will mark brainliest
Answer:
D
Step-by-step explanation:
-2/3 is -.666
-3/5 is -.60
1/2 is .5
and 5/8 is a little more than half since 4/8 is half. so -2/3, -3/5, 1/2, 5/8, or D
For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?
Answer:
Yes.
Step-by-step explanation:
Because.
Answer:
23
Step-by-step explanation:
PLZZ help me wit this I won’t the right answers no facts
Answer:
C. No, because not all of the pairs represent the same ratio
Step-by-step explanation:
6/2 = 3
12/5 = 2.4
14/6 = 2.3
18/8 = 2.25
The 7th-grade class took a survey on their favorite ice cream. 58 people said they prefer vanilla, while 28 people said they prefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in a :b form)
Answer:
[tex]a : b = 14 : 29[/tex]
Step-by-step explanation:
Given:
[tex]Vanilla = 58[/tex]
[tex]Chocolate = 28[/tex]
Required
Represent as ratio
Let chocolate be represented with a and vanilla be represented with b
So, we have:
[tex]a : b[/tex]
[tex]a : b = 28 : 58[/tex]
Divide ratio by 2
[tex]a : b = 14 : 29[/tex]
Hence, the required ratio is [tex]14:29[/tex]
what is 71 3/7% equal to in simplest form?
Answer:
23 2/3 i think sorry for the other my sponese my sister came and typed the response
fred can complete a work in 6 days and Paul can complete a work in 3 days. if fred and Paul work together, how many days can the work be completed?
Answer:
I think its 3 or 2 days bc if paul can get two works done by the time fred can get one done then the days should be divided.
Step-by-step explanation:
The radius of a circle is 3 feet. What is the circle's area?
Answer:
6
Step-by-step explanation:
Answer:1.5 feet
Step-by-step explanation: your welcome
Which graph shows a proportional relationship between the number of hours of renting a canoe and the total amount spent to rent the canoe?
Answer:
Uh pick a graph that is straight line and passes through 0
Step-by-step explanation:
You don't have screenshot
Answer:
This would be simaler to the answer
Step-by-step explanation:
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 54 and 8, 72. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
Point E is located at (-5,2). Point M is the reflection of point E across the y-axis. What is the distance between E and M?
Answer:
The distance is Ten
Which of the following statement(s) is/are true about rectangles? i. The diagonals are congruent. ii. All sides are congruent. iii. Both pairs of opposite sides are parallel. iv. The diagonals are perpendicular bisectors of each other.
Answer:
i. The diagonals are congruent.
iii. Both pairs of opposite sides are parallel.
iv. The diagonals are perpendicular bisectors of each other.
Step-by-step explanation:
Plan quadrilateral, which has four right angles; surface bounded by this quadrilateral. (A parallelogram is a rectangle if it has a right angle or if its diagonals [segments] have the same length. The perpendicular bisectors of two consecutive sides of a rectangle are its axes of symmetry.)
The length of a rectangle is the larger of its two dimensions, the smaller being its width. For measurement purposes, we sometimes distinguish the base b and the height h of a rectangle: Either side of the rectangle can be used as the base; the adjacent side will then be the corresponding height.
Note: A rectangle, therefore, has all the properties of a parallelogram:
Parallel opposite sides
Same length for opposite sides
The intersection of diagonals in the middle
A rectangle possesses two axes of symmetry, which are the perpendicular bisectors of its sides.
A rectangle has a center of symmetry, which is the point of intersection of its diagonals.
Answer:
The diagonals are congruent.
Both pairs of opposite sides are parallel.
The diagonals are perpendicular bisectors of each other.