Answer:
Kidz comic costs the most
Step-by-step explanation:
Given
Family Fun
[tex]C(x) = 1.99x[/tex]
Kidz Comics
[tex]m = 1.85[/tex] --- monthly rate
[tex]b = 10[/tex] --- delivery charge
Required
Which is more expensive
A linear function is represented as:
[tex]f(x) = mx + b[/tex]
Where
[tex]m = rate[/tex]
[tex]b = y\ intercept[/tex] --- i.e. the base charge
So, for Kidz comic; We have:
[tex]f(x) = mx + b[/tex]
[tex]C(x) = 1.85x + 10[/tex]
To calculate the annual cost, we set x = 12; i.e. 12 months.
So, we have:
[tex]C(x) = 1.99x[/tex] ---- Family Fun
[tex]C(12) = 1.99 * 12[/tex]
[tex]C(12) = 23.88[/tex]
[tex]C(x) = 1.85x + 10[/tex] --- Kidz comic
[tex]C(12) = 1.85*12 + 10[/tex]
[tex]C(12) = 22.2 + 10[/tex]
[tex]C(12) = 32.2[/tex]
By comparison
[tex]32.2 > 23.88[/tex]
Hence, Kidz comic is more expensive
A rectangular room is 7 times as long as it's wide and it's perimeter is 64metres. Find the dimension of the room.
Answer:
Length = 28 meters Width = 4 metersStep-by-step explanation:
Assume the width of the rectangle is x. That means that the length of the rectangle is 7x which is 7 times as long as it is wide.
Perimeter of a rectangle:
= Length + length + Width + Width
Therefore:
7x + 7x + x + x = 64
16x = 64
x = 64/16
x = 4 meters
Length is 7 times as long:
= 4 * 7
= 28 meters
Gerald drove his car 360 miles on a trip. He used 20 gallons of gasoline. Which of the following is a unit rate that describes the distance Gerald drove per gallon of gasoline used?
A
18 miles per gallon
B
18 gallons per mile
C
340 miles per gallon
D
340 gallons per mile
Answer:
A
Step-by-step explanation:
Sarah hiked a path that took her from 34 feet below sea level to 52 feet above sea level . What was the change in her elevation?
Answer:
86 ft
Step-by-step explanation:
First method: Logical thinking
Think of the position 34 ft below sea level as -34.
The position above sea level is 52.
You need to find the distance between -34 and 52.
You go from 34 ft below sea level, -34 to 0. That is 34 ft.
Then you go from sea level, 0 ft, to 52 ft above sea level. That is 52 ft.
The total is 34 ft + 52 ft = 86 ft
Answer: 86 ft
Second method: Calculate a distance in math
The distance between two points on a number line is the absolute value of the difference of their coordinates. The coordinates are -34 and 52. Subtract the numbers in either order, and take the absolute value of the difference.
|-34 - 52| = |-86| = 86
If you did it in the other order, you'd get the same answer.
|52 - (-34)| = |52 + 34| = |86| = 86
Answer: 86 ft
Mean: also called the average. The mean is found by adding all the numbers in the set and then dividing that total by the number of values in the set Median: is the middle value when the numbers are in order from least and greatest. If there are two numbers left in the center, add the 2 numbers together and then divide that total by 2. Mode: the number that is listed most often Range: the difference in the largest and the smallest number. 1. Given the data set 18, 3, 22, 30, 15 Find the following: Mean_________ Median_________ Mode____________ Range____________
Answer:
Mean: 17.6 Median: 18 Mode: N/A Range: 27
Step-by-step explanation:
HELP ASAP!
Find the value of x. -1x + 72 = -3x + 84
Answer:
x=6
Step-by-step explanation:
First, add x to each side.
72=-2x+84
Subtract 84 from each side
-12=-2x
Dive each side by -2
6=x
Answer:
x=6
Step-by-step explanation:
-1x+72=-3x+84
+3x on both sides
2x+72=84
subtract 72 on both sides
2x=12
divide by 2 on both sides
x=6
The graph below shows the equation y=2x+4
2
In the space below, describe the effect on this graph if the equation were changed to y=3x+4
Answer:
C. the lines will be intersecting but neither parallel nor perpendicular
Step-by-step explanation:
changing the x coeficient means you're changing the gradien/ slope. so it will intersecting in one point of y if the x = 0
y = 2x + 4
y = 2(0) + 4 = 4
y = 3x + 4
y = 3(0) + 4 = 4
Answer:
Step-by-step explanation:
If you type this equation onto the graphing calculator you can clearly tell the lines intersect therefore the right answer is the last one.
In order, range, median, mode and mean. Round the mean to the nearest tenth.
PLS HELP ASAP
Answer:
Range: 40
Median: 55
Mode: 72
Mean: 54.6
Step-by-step explanation:
First, let's put all of the numbers down.
32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72
Now, to find the range, subtract 72 - 32 = 40
To find the median, find the number in the middle
32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72
Because there are an even amount of numbers we will find the mean of those two numbers which would be 55.
To find the mode, look for the number that appears the most.
32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72
To find the mean, add everything up.
32, + 34, + 35, + 40, + 41, + 54, + 54, + 56, + 63, + 69, + 70, + 72, + 72, + 72 = 764
Then, divide. 764 ÷ 14 = 54.6 when rounded to the nearest tenth.
I hope that this helps, and you have a great day! :)
Help please I don’t understand this! Giving brainliest!
Answer:
200
Step-by-step explanation
100+400=500 BUS
300+400=700 SPORTS
sports-bus
700-500=200
Answer:
300 + 400 = 700
Step-by-step explanation:
Play sports, : 300 + 400 = 700
Don't play, : 200 + 100 = 300
3. in Figure 1, which of the following guarantees that alb?
A 2127
t
B. 325
C. 24 25
1 2
3 4
D. 24 27
5/6
78
Figure 1
pakii Ayus po
Step-by-step explanation:
favsywuwinswyuqoqpwieygsbsnwjqkqkhzvshqjqkjwhegwy
Solve by graphing.
2x +y=1
x – 2y = 8
The solution to this system of equations is:
x-coordinate:
y-coordinate:
Given:
The given system of equations is:
[tex]2x+y=1[/tex]
[tex]x-2y=8[/tex]
To find:
The solution to this system of equations by graphing.
Solution:
We have,
[tex]2x+y=1[/tex]
[tex]x-2y=8[/tex]
The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
Grace has 2,640 beads to put on the bracelets she is making. It takes 48 beads to make each bracelet. How many bracelets can Grace make
Answer:
Grade can make 55 bracelets
Step-by-step explanation:
2640/48 = 55
Answer:
55
Step-by-step explanation:
2640 divided by 48
the answer is 55
Find the solution of this system of equations. Separate the x- and y-values with a comma. x= -8+y -3x – 3y = 24
Answer:
(-8,0)
Step-by-step explanation:
X=-8+y equation 1
-3x-3y=24 equation 2
-3(-8+y)-3y=24 sub x value in equation into x value of equation 2
24-3y-3y=24
-6y=0
y=0
solve for x
x=-8+y
x=-8+0
x=-8
check answer:
-3x-3y=24
-3(-8)-3(-0)=24
24-0=24
24=24
The perimeter of a rectangular painting is 270 cm.
If the length of the painting is 82 cm, what is its width?
Width of the painting: []
Answer:
p/2 _l step 1. 270 ÷2= 135. 135- 82 = 53 width of the painting = 53
Write an equation of the line below
A solid has 6 faces and 8
vertices. How many edges
does it have?
Euler's Formula: F+ V - E = 2
Fnter
Answer:
4 edges
Step-by-step explanation:
the shape is a cube
Answer: 12
Step-by-step explanation:
Euler’s formula: F + V - E = 2
6 + 8 - E = 2
14 - E = 2
You find E by subtracting 14 with 2
14 - 2 = 12
E = 12
Please help and show work ASAP DUE SPON
Answer:
452.2
Step-by-step explanation:
r x r x h x 3.14 (pi) = 6x6x3.14x4=452.16, rounded to tenth is 452.2
Answer:
452.4in³
Step-by-step explanation:
diameter= 12in.
radius= 12÷2
= 6in.
volume= πr²h
=π×6²×4
= π×36×4
= 113.097336×4
= 452.389
≈ 452.4in³
help pls, pls not links!!
Answer:
15
Step-by-step explanation:
i dont know if your looking for the area but i can help you out on that, and im sooper sorry if this is the wrong answer! Plz forgive me if so!
d,a is 3 and from d to c is 5, 3x5=15, thats the area of the square!!
If you were looking for a different answer plz forgive me you didnt exactly tell us what you were looking for so i kinda just guessed it was area of the square real sorry if this is wrong!!
please help- provid explanation if possible! <3
Answer:
Exponential
Step-by-step explanation:
The rate of change is exponential.
Is (8, 3) a solution to the system?
- x + 4y = 4
- x + 3y = 1
Answer:
Step-by-step explanation:
You can either substitute (8, 3) into both equations as a test, or you can find the solution yourself.
Rewrite
- x + 4y = 4
- x + 3y = 1
as
- x + 4y = 4
+ x - 3y = -1
and combine like terms. The result is y = 3. Then -x + 4(3) = 4, or 8 = x.
Yes, (8, 3) is a solution of this SYSTEM.
can ace and expert help me in which number does 7 resent 10 times the value that it respesnts in 167 300
Answer:
D
7k*10=70k
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Because it is in the 4th place and x 10 moves it over 1 so in 5th place then
2y - 3x + 6x - y
simplify this for me ?
Answer:
3x + y
Step-by-step explanation:
combine like terms
-3x + 6x = 3x
2y - y = y
Final Answer: 3x + y
Solve for x:
Plzzzzzzzzzz
Answer:
1: x=18 2: x=7 3: x=12
Step-by-step explanation:
1: 7x+3=9x-33
2x=36
x=18
2: 16x+(6x=26)=180
22x=154
x=7
3: (10x-17)-(2x-3)=90
8x-14=104
x=12
Answer and Step-by-step explanation:
1.
7x + 3 = 9x - 33
Subtract 7x from both sides, and add 33 to both sides of the equation.
36 = 2x
Divide both sides by 2.
x = 18
2.
6x + 26 + 16x = 180
Combine like terms.
22x + 26 = 180
Subtract 26 from both sides of the equation.
22x = 154
Divide 22 from both sides of the equation.
x = 7
3.
90 + 2x - 3 = 10x - 17
Add 17 to both sides of the equation, subtract 2x from both sides of the equation and combine like terms.
104 = 8x
Divide 8 from both sides of the equation.
x = 13
#teamtrees #PAW (Plant And Water)
:)Can someone answer this
Answer:
6.50 + 5.75n
Step-by-step explanation:
6.50 for the first hour only being charged once and the 5.75 being for the number of hours (n) she works after the first hour
Answer:
B
Step-by-step explanation:
n is how many additional hours after the first hour she babysits. She charges $5.75 for each additional hour. So, that would be:
5.75n
But for the first hour, she charges 6.50. So that would be:
6.50+5.75n
I AM GIVING OUT BRAINLIEST
please help me I only have 2 minutes left winner gets brainliest is 1 + (8r+9) and (2+8) + 8r equivalent
Answer:
Yes, this is equivalent.
Hope this helps!
Cos^2theta -cos^2theta ×sin^2theta =cos^4theta
Answer:
we should prove this or solve only
Step-by-step explanation:
hope it is helpful to you
Factor the following:
x^2 - 9
Answer:
(x + 3)(x - 3)
Step-by-step explanation:
[tex] {x}^{2} - 9 \\ = {x}^{2} - {3}^{2} \\ = (x + 3)(x - 3)[/tex]
What is the equation of a line parallel to the y axis and passing through the point (2,1)?
Answer:
x = 2
Step-by-step explanation:
lines parallel to the y-axis are always vertical and begin with 'x ='
Answer:
x=2
Step-by-step explanation:
Hi there!
A line parallel to the y-axis would make it a vertical line. Vertical lines have the equation x=d, where d is the x-intercept (the value of x when y=0).
We also need to know that every point a vertical line passes through has the same x-coordinate. Therefore, because this line passes through the point (2,1), we know that the x-intercept is (2,0).
Therefore, the equation of the line would be x=2.
I hope this helps!
What is the value of x in the equation 2x + 3y = 36, when y = 6?
08
9
27
36
10)
1360°
A) 13.6 ft
C) 9.4 ft
B) 190.9 ft
D) 91.6 ft
Find the Arc Length of the circle above.
Answer: It's supposed to be A) 13.6 ft