Answer:
y = 0.2x + 31
855 minutes would cost $202.
Step-by-step explanation:
Let,
a be the cost per minute and f be the flat fee charged.
Now,
130a + f = 57 Eqn 1
520a + f = 135 Eqn 2
Subtracting Eqn 1 from Eqn 2
520a + f - 130a - f = 135 - 57
390a = 78
Dividing both sides by 390
a = $0.2
Putting in Eqn 1
130 (0.2) + f = 57
26 + f = 57
f = 57 - 26
f = 31
Hence the company charges a flat fee of $31 and $0.2 per minute.
Equation in slope intercept form.
y = 0.2x + 31
Now putting x = 855
y = 0.2(855) + 31
y = 171 + 31
y = $202
Therefore,
y = 0.2x + 31
855 minutes would cost $202.
hello guys, this is easy for the highschoolers bc im in middle, anyways.. i know that 60 mins is in an hour and there r 3 hours, i mulitplyed that nd got 180. im just having trouble with this.. an i have 5 more of these to do. if you can, can u show work?
Answer:
135 miles
Step-by-step explanation:
180/20=9
9x15=135
Answer:
135 miles
Step-by-step explanation: so she went 15 miles in 20 minutes. In 60 minutes, there are "3" 20 minutes because 60 divided by 20 is 3. So you multiply the 15 miles by 3 which is 45. So they drove 45 miles in 60 minutes. You then multiply that times 3 because it is wanting to know how many miles he drives in 3 hours. When you multiply 45x3 you get 135.
Certain pieces made by an automatic lathe are subject to three kinds of defects X, Y, Z. A sample of 1000 pieces was inspected with the following results: 2.1% had type X defect. 24% had type Y defect. 2.8% had type Z defect. 0.3% had both type X and type Y defects. 04% had both type X and type Z defects. 0.6% had both type Y and type Z defects. 0.1% had type X, type Y, and type Z defects. Draw a Venn Diagram, then find:
(a) What percent had none of these defects?
(b) What percent had at least one of these defects?
(c) What percent were free of type X and/or type Y defects?
(d) What percent had not more than one of these defects?
Answer:
a) % age of samples containing none of these defects = 93.9%
b)% age of samples containing at least one of these defects = 6.1%
c) % age of samples free of type X and/or type Y defects = 95.8%
d) %age of samples with not more than 1 defect = 98.9%
Step-by-step explanation:
Data Given:
Number of Samples = 1000
Type X defect = 2.1% = 21 samples
Type Y defect = 2.4% = 24 samples
Type Z defect = 2.8% = 28 samples
Both Type X and Y defect = 0.3% = 3 samples
Both Type X and Z defect = 0.4% = 4 samples
Both Type Y and Z defect = 0.6% = 6 samples
Type X and Y and Z defect = 0.1% = 1 sample
Venn Diagram is attached in the attachment below. Please refer to attachment for the Venn Diagram.
a) % age of samples containing none of these defects.
Solution:
Number of samples containing none of these defects = Total - Samples with defects
Number of samples containing none of these defects = 1000 - { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
Number of samples containing none of these defects = 1000 - { (21) + (24) +(28) - (3) -(4) - (6) + (1) }
Number of samples containing none of these defects = 1000 - 61
Number of samples containing none of these defects = 939
% age of samples containing none of these defects = 939/1000 x 100
% age of samples containing none of these defects = 93.9%
b) % age of samples containing at least one of these defects:
We have already calculated this above, number of samples containing at least on of these defects:
number of samples containing at least on of these defects = { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
number of samples containing at least on of these defects = { (21) + (24) +(28) - (3) -(4) - (6) + (1) }
number of samples containing at least on of these defects = 61
% age of samples containing at least one of these defects = 61/1000 x 100
% age of samples containing at least one of these defects = 6.1%
c) % age of samples free of type X and/or type Y defects.
For this find, we need to find the samples with only Z Type defect.
Number of Samples with Only Z type defects = { (Type Z) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
Number of Samples with Only Z type defects = { (28) -(4) - (6) + (1) }
Number of Samples with Only Z type defects = 19
Now, we also know the number of samples without any defects = 939
Now,
The number of samples free of type X and/or type Y defect = Sum of Number of Samples with Only Z type defects and number of samples without any defects
The number of samples free of type X and/or type Y defect = 19+939
The number of samples free of type X and/or type Y defect = 958
% age of samples free of type X and/or type Y defects = 958/1000 x 100
% age of samples free of type X and/or type Y defects = 95.8%
d) %age of samples with not more than 1 defect:
For this find, we need to find number of samples with only X type and with only type Y and with only type Z.
We have already found the number of samples with only Z type defect = 19
Now,
number of samples with only X type defect = { (Type X) - (Both X and Z) - (Both X and Y) + (All defects X and Y and Z) }
number of samples with only X type defect = { (21) -(4) - (3) + (1) }
number of samples with only X type defect = 15
Similarly,
number of samples with only Y type defect = { (Type Y) - (Both Y and Z) - (Both X and Y) + (All defects X and Y and Z) }
number of samples with only Y type defect = { (24) -(6) - (3) + (1) }
number of samples with only Y type defect = 16
For,
samples with not more than 1 defect = number of samples with only Y type defect + number of samples with only X type defect + number of samples with only z type defect + number of samples without any defects
samples with not more than 1 defect = 939 + 16 + 15 + 19
samples with not more than 1 defect = 989
%age of samples with not more than 1 defect = 989/1000 x 100
%age of samples with not more than 1 defect = 98.9%
( 2 5/8 + 1/6) + 1 3/8
Answer:
25/6
Step-by-step explanation:
Answer:
25/6 or 4 1/6
a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/
8 = 16/8
b) Add the answer from previous step 16 to the numerator 5. New numerator is 16 + 5 = 21
Write a previous answer (new numerator 21) over the denominator 8.
Two and five eighths is twenty-one eighths
Add: 21/8 + 1/6= 21 · 3/8 · 3 + 1 · 4/6 · 4= 63/24 + 4/24 = 63 + 4/24 = 67/24
Hope this helps!!
Maya's test score average decreased by 18 points this semester.
Write a signed number to represent this change in average.
Answer: -18
Step-by-step explanation:
It is decreasing so the now will become negative since it is same as losing some points.
total cost of food and drink was less than $116. if $80 was spent on food and 12 bottles of fruit drink were bought for d dollars per bottle. solve the inequality help me please i’ll give 100 points
Step-by-step explanation:
We have Cost for food + Cost for drinks = Total cost of food and drinks.
=> $80 + 12d < $116
=> 12d < $36
=> d < $3
Hence the drink bottles cost less than $3 each.
Answer:
those are 3 each
Step-by-step explanation:
Express each ratio as a fraction in simplest form 16 feet out of 40 feet
Answer:
Step-by-step explanation:
Start by dividing top and bottom by 4
16 / 4 = 4
40/4 = 10
The result so far is 4/10
But 4/10 is not the answer. You can divide 4 and 10 by 2
4/2 = 2
10/2 = 5
Answer: 2/5
2+4x=2(2x+1)
Which statements are true?
Select each correct answer.
There is no value for x that will make the equation true.
The equation is an identity,
The solution is 2.
There are infinitely many solutions.
The equation is a contradiction.
There are no solutions.
The equation is true for all values of x.
i’ll give brainliest!!!
14a. =
15b. 2/3 is less than 0.667
16c. 3 7/8 is greater than 3.375
17d. 3/8 is less than 1/2
if f(x) = x^2 and g(x) = 2x + 1, WHICH EXPRESSION IS EQUIVALENT TO (F O G)(X),
Answer:
(2x+1)^2 or 4x^2+4x+1
Step-by-step explanation:
I'm going to assume you need to find f(g(x)) when f(x)=x^2 and g(x)=2x+1
You first need to find g(x) which is 2x+1
You then take the f(x) function and replace x with 2x+1
This means our new equation is
(2x+1)^2
Your teacher may or may not want you stop here, really only you know the answer to that
But if we expand this we'll find that (2x+1)^2=4x^2+4x+1
The equivalent expression of (f o g) is 4x² + 4x + 1.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Two functions are given.
f(x) = x²
g(x) - 2x + 1
Now,
(f o g)(x) = f(g(x))
g(x) - 2x + 1
So,
f(g(x)) = f(2x + 1)
Now,
f(2x + 1)
= (2x + 1)²
= 4x² + 4x + 1
Thus,
The expression of (f o g) is 4x² + 4x + 1.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
The measure of an angle is 60°. What is the measure of its supplementary angle?
Answer:
120
Step-by-step explanation:
supplementary equal up 180
1. Mrs. McKee is thinking of buying solar panels to put on the roof of her new house. The Sunny Solar Company told her that for every 2 panels, she will save $80 on her electric bill. Make a visual representation ( examples include: a graph, a table, or a picture) for the ratio of the panels to the money that she will save on her electric bill. (a) Write the ratio of panels to money saved as a reduced fraction. Show your work
Answer:
(a) Please find attached a diagram of the model representing the ratio of the panel to the amount saved on her electric bill
(b) The reduced fraction of the ratio of panels to money saved is
Step-by-step explanation:
The given parameter from the Sunny Solar Company, on the cost savings from the use of solar panels is as follows;
The amount Mrs. Jolley saves on her electricity bill for every 2 solar panels = $60
(a) A model visually representing the ratio of the panels to the amount saved on her electric bill is created using Microsoft Visio as shown in th attached drawing
(b) The ratio of panels to money saved is given as follows;
Therefore the reduced fraction of the ratio of panels to money saved is given as follows;
Step-by-step explanation:
have a good day
Answer:
ok so i dont know at all i need help pls help
Step-by-step explanation:
PLEASE HELP!!! ILL MARK BRAINLIEST IF CORRECT!!!
Answer:
Im pretty sure the answer is 3.2m
Step-by-step explanation:
Answer:
6.7 sqm
Step-by-step explanation:
I answered first
Which of the following expressions is equivalent to 5 + 2(10 – 3)?
1. 7(10 – 3)
2. 70 – 3
3. 5 + 20 – 3
4. 5 + 2(7)
Answer:
4
Step-by-step explanation:
1. 7(10-3)
7×7
49
2. 70-3
67
3. 5+20-3
25-3
22
4.5+2(7)
5+14
24
5+2(10-3)
5+2×7
5+14
24
Solve each problem by graphing
Y=-5x+3
Y=-5x-3
Answer:
I don't have graphing paper but this problem will have no solution. It will create two parallel lines going downwards.
Step-by-step explanation:
They both have the same slope and different y intercept so they will never intersect
There are 40 children and 12 adults going on a trip to New York City by car. Each car can hold a maximum of 5 people. What is the least number of cars needed for the trip?
Answer:
Number of cars needed for the trip = 11
Step-by-step explanation:
Given that:
Number of children = 40
Number of adults = 12
Total number = 40 + 12 = 52 people
Each car can hold 5 people.
Number of cars = [tex]\frac{52}{5}[/tex]
Number of cars = 10.4
Rounding off to next whole number as one car can hold a maximum of 5 people.
Number of cars = 11
Hence,
Number of cars needed for the trip = 11
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES
Answer:
the answer is
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
it is A
What am I supposed to do here, I don't see a triangle.
Answer:
its the angle
Step-by-step explanation:
im pretty sure
Consider the original trapezoid and the reduction.
A trapezoid has corresponding side lengths of 13.5 centimeters and 9 centimeters. Side A corresponds to a side with length 3 centimeters.
Figures not drawn to scale.
What is the length of side A, in centimeters, on the reduced trapezoid?
1
1.5
2
4.5
Answer:
2
Step-by-step explanation:
yaw
Answer:
2
Step-by-step explanation
Got it correct in Edgen :D
The sum of two numbers is 56, and their difference is 10. What are the numbers?
A. 33 and 23
B. 30 and 26
C. 20 and 26
D. 20 and 30
Answer:
A
Step-by-step explanation: If you add 33 and 23 it'll give you 56.If you subtract them you will get 10.
Therefore, you're answer is A.
PLEASE HELP which is the graph of y=^3√x+1-2
Answer:
I used desmos to make the graph.
4x - 2 - 8x = 22
help
Answer:
x = -6
Step-by-step explanation:
4x - 2 - 8x = 22
-4x - 2 = 22
-4x = 24
4x = -24
x = -6
PLZ HELP I WILL GIVE YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
worth 20% of my grade
Answer:
d
Step-by-step explanation:
yw can i have brainliest since this is prob the right answer
15 is 4.06% of what??
Answer:
369.458128
Step-by-step explanation:
[tex]x (0.0406) = 15 \\ x = \frac{15}{0.0406} \\ x = 369.458128[/tex]
lindsay sounds a spinner once and then flips a fair coin twice, the spinner is shown below. what is the probability of the spinner landing on an odd number and the coin landing on tails both times
Answer: The probability is that it has a 50/50 chance of landing on either side
Step-by-step explanation:
Carpeting costs $9.95 per yard. If Jamie buys 8 yards, how much will it cost him?
Answer:
$79.6
Step-by-step explanation:
9.95 x 8 = 79.6
1 A rectangular picture frame has perimeter
70 cm.
a The width of the frame is x cm. Find an
expression, in terms of x, for the height
of the frame.
b Find an equation for the area of the
frame, Acm?, in terms of x.
c Plot the graph which shows how A
varies with x. Use a suitable domain and
range. Hence sketch the graph on paper.
d Find the x-intercepts of the graph in part c.
e State what these two values of x represent.
f Hence find the equation of the graph's
line of symmetry, and state what this
tells you in the context of the problem.
The function d (t)=65t models the total distance (in miles) that a truck travels from aurora, where d (t) represents the total distance traveled and t represents the number of hours traveled.
a. What is the y-intercept? What does it represent?
b. What is the slope? What does it represent?
c. Is the function increasing or decreasing?
d. What is the distance traveled after 10 hours, d(10)?
Which do one we answer?
40 POINTSSS AND BRAINLIEST 40 POINTS
-4y + 6x = -48
The x-intercept is ______
The y-intercept is ______
Answer:
the x intercept is x=-8
the y intercept is y=12
Step-by-step explanation:
Find the soluition of equation 2(2x+3)=-4+2(2x+5)
Answer:
x=0
Step-by-step explanation:
2(2x+3)=-4+2(2x+5)
4x+6=-4+4x+10
4x-4x=-4+10-6
x=0
Answer:
0
Step-by-step explanation:
4x+6=4x-4+104x+6=4x+6=0Assume a cube has side lengths of 2 inches. What is the area of the base of that cube? Does it matter which face we call the base? What is the volume of that cube? Instead, assume the cube has side lengths of 3 inches. What is the area of the base now? The volume? Based on that, what do you think the relationship is between side length, area, and volume? Would that still be true even if it is not a cube? (Put another way, if the side length is x, what is the area and volume?)
Answer:
Step-by-step explanation:
Volume of a cube:
V = a3
Surface area of a cube:
the area of each face (a x a) times 6 faces
S = 6a2
Face diagonal of a cube:
By the pythagorean theorem we know that
f2 = a2 + a2
Then f2 = 2a2
solving for f we get
f = a√2
Diagonal of the solid cube:
Again, by the pythagorean theorem we know that
d2 = a2 + f2
substituting f into this equation we get
d2 = a2 + (a√2)2 = a2 + 2a2 = 3a2
solving for d we get
d = a√3