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
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.
At Mario's restaurant, 59% of his plates are dirty. If there are 118 dirty plates, how many plates are there total?
9514 1404 393
Answer:
200
Step-by-step explanation:
If P is the total number of plates, we have ...
0.59P = 118
P = 118/0.59 = 200
There are 200 plates total.
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
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%
Convert to an improper fraction.
2 1/5
Answer:
11/5
Step-by-step explanation:
2 x 5 = 10
10 + 1 = 11
11/5
I need help ASAP no rocky
Answer:
no rocky
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
I think it's C and I am always right so it is C! You're welcome!
HELLO HELPPP PLEASE ASAPPP
Find the missing angle. Round your answer to the nearest degree.
37 FT
22 ft
f
x=
degrees
1
Answer:
53.52°
Step-by-step explanation:
cos x° = 22/37 = 0.59456
x = 53.52°
The value of A is? The value of B is?
Answer:
C+B
Step-by-step explanation:
you add A + B = C
Answer:
A=10
B=35
Step-by-step explanation:
A lion eats 462 pounds of food in a week.If the lion eats the same amount of food each day,how many pounds does a lion eat per day
Answer:
The lion eats 66 pounds of food per day
Step-by-step explanation:
Suppose you have $245. If you decide to spend it all on ice cream, you can buy 70 pints. If the price of a glass of lemonade is 2.7 times less than the price of ice cream, how much lemonade can you buy if you decide to spend all your money on it
Answer:
198
Step-by-step explanation:
From the equation, the number of lemonade will be 306.
How to solve the equation.Since when the person has $245 and decide to spend it all on ice cream, the person can buy 70 pints, the cost of one will be:
= $245/70
= $3.5
The price of a glass of lemonade is 2.7 times less, the price will be:
= $3.5 - $2.7
= $0.8
Therefore, the number of lemonade that can be bought will be:
= 245/0.8
= 306
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When a number is increased by 35, the result is 38. What equation fits this statement
Answer:
3 + 35 = 38?
Step-by-step explanation:
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:
HELP NOWWW!!
What is the quotient when 2 x 2 + 7 x – 15 is divided by 2 x – 3?
Answer:
yup 12
Step-by-step explanation:
Donna deposits $275 into her savings account. She leaves the money in her account,
untouched, for 6 years. If the account earns 4.5% simple interest each year, how much simple
interest will she have earned by the end of the sixth year?
$7,425.00
$74.24
$206.25
$12.38
The simple interest earned by Donna by the end of the sixth year is $74.24
What is simple interest?Simple interest is the interest charge on borrowing that's calculated using an original principal amount only and an interest rate that never changes.
Given that, Donna deposits $275 into her savings account for 6 years, the account earns 4.5% simple interest each year,
We need to find the interest earned by the end of the sixth year
Simple Interest = PRT / 100
Where,
P = Principal ($275)
R = rate (4.5%)
T = time (6 years)
SI = 275 × 6 × 4.5 / 100
= 7425 / 100
= 74.25
Hence, the simple interest earned by Donna by the end of the sixth year is $74.24
Learn more about simple interest, click;
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#SPJ2
Find the measure of the smaller angle formed by the hands of a clock at the following time.
5:25
Answer: 12°30’
Step-by-step explanation:
Gina can write 3 pages per hour. Emily can write 5 pages per hour. If they both write for x number of hours, how many pages will they write altogether? *
x (3 + 5)
x (4 + 4)
3 (x + 5)
5 (3 + x)
Answer:
3 (x+5)
Step-by-step explanation:
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
Raise b to the 7th power, then find the quotient of the result and 8
Answer:
b^7 / 8.
Step-by-step explanation:
what is the answer of X
Answer: x = -5
Step-by-step explanation:
-3.4x - 9 = 8
+9 +9
-3.4x = 17
-3.4x ÷ -3.4 = x
17 ÷ -3.4 = -5
how much water must be added to a 9-liter solution that contains 3% extract on baneberry to get a solution that contains 2% extract of baneberry
Answer:
Amount water added = 4.5 L
Step-by-step explanation:
Given:
Amount of solution = 9 L
Amount of bane-berry = 3% of 9 L = 0.27 L
Computation:
Assume;
Amount water added = x L
Total solution = 9+x L
New percentage of bane-berry = 0.27x100/(9+x)
2 = 0.27*100/(9+x)
x = 4.5 L
Amount water added = 4.5 L
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:
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
What is the number based on the list of factors? 1,3,7, __
Please help
Answer:
21 I think, might be wrong.
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
Given f(x)=14(5−x)2 what is the value of f(11)?
Answer:
I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2
Step-by-step explanation:
Given f(x) = 14(5−x)², the value of f(11) = 504
The given function is:
f(x) = 14(5 - x)²
To get the value of f(11), substitute x = 11 into the function f(x) = 14(5 - x)²
f(11) = 14(5 - 11)²
Simplify the expression
f(11) = 14(-6)²
f(11) = 14(36)
f(11) = 504
Therefore, given f(x) = 14(5−x)², the value of f(11) = 504
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Which graph represents this system? 2x-5v=-5 y=-3x+1
Answer:
Please check the attached graph.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the system of equations
2x - 5y = -5 --- [Equation 1]
y = -3x + 1 --- [Equation 2]
converting the equation 1 in the slope-intercept form
2x - 5y = -5
5y = 2x+5
divide both sides by 5
y = 2/5x + 1
Thus, the y-intercept = 1
Now, please check the attached graph below.
The red line represents the equation 2x - 5y = -5
From the graph, it is clear that the red line has the y-intercept y = 1.
Now, considerng the equation 2
y = -3x + 1
comparing with the slope-intercept form of line equation
The y-intercept b = 1
Hence, the y-intercept of the line y = -3x + 1 is y = 1
The green line represents the equation y = -3x + 1
From the graph, it is clear that the green line has the y-intercept y = 1.
Point of Intersection:
It is clear from the graph:
The red line represents the equation 2x - 5y = -5.The green line represents the equation y = -3x + 1.As both lines meet or intersect at the point (0, 1).
Therefore, the point of intersection of both the lines is:
(x, y) = (0, 1)
As we know that the point of intersection of both the lines represents the solution to the system of equations.
Therefore, (0, 1) on the graph represents the solution to the system of equations.
The graph is attached below.
There are 20 chairs that are to be divided into different tables. Which expression shows how many chairs would be in each group if there are t tables
A
14t
B
14 + t
C
t ÷ 14
D
14 ÷ t
Answer:
D
Step-by-step explanation:
don't know why it says 14, but its the right formula for this question.
dividing 14 into how many tables there are (t)
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.