Answer:
w<50
c≤30
6w+2c≥320
Step-by-step explanation:
W stands for the car wash, and C stands for the cakes. Naturally, it would be 7w+4c≥320 but each cake costs $2 to make and each car wash costs $1 per car. This makes the system 6w+2c≥320. They will wash less than(<) 50 cars and bake no more than(≤) 30 cakes. I hope this helped :).
To solve the problem we must know about Expressions.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
Earning per car wash = $7
Earning per cake = $4
Cost of supplies per car wash = $1
Cost of cake = $2
They will wash less than 50 cars and
Bake no more than 30 cakes
They want to raise at least $320
Assumption
Let the number of cakes they sold be represented by x, and the number of car washes they did be represented by y.
Profit from Car washProfit from Car wash
= Earning per car wash - Cost of supplies per car wash
= $7 - $1
= $6
Profit from CakeProfit from Cake
= Earning per Cake - Cost of a cake
= $4 - $2
= $2
What is Total Profit?The system that represents profit
$320 = ($6)y + ($2)x
320 = 6y + 2x
Number of Cake they will bake,As it is given that they will not make more than 30 cakes, therefore,
x ≤ 30
Number of Carwashes they will do,As it is given that they will wash less than 50 cars.
y < 50
Hence, the following equations can represent the system,
320 = 6y + 2xx ≤ 30y < 50Learn more about Expression:
https://brainly.com/question/13947055
X+5y=-23
X-y=1
Solve by elemination
Answer:
Negative 4
-4
Step-by-step explanation:
x+5= -23
-x+y= -1
6y= -24
-24÷6= -4
Answer:
Step-by-step explanation:
x + 5y = -23
5x - 5y = 5
6x = -18
x = -3
-3 + 5y = -23
5y = -20
y = -4
(-3, -4)
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%
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:
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
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
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.
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
When a number is increased by 35, the result is 38. What equation fits this statement
Answer:
3 + 35 = 38?
Step-by-step explanation:
Find the frequency for the pitch E shown. Plz ASAP help
Answer: 659Hz
Step-by-step explanation:
got right on edge
Answer:
659 Hz
Step-by-step explanation:
Edge 2021
Just did the work
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!
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.
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:
Simplify secxcscx/1+tan^2x.
Answer:
It's cot x :)
Step-by-step explanation:
I'm not really good at explaining,but I know that's the answer :))
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
How do I round up 12,853 to the largest place value
Answer:
12953
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
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=0According to the graph, what has been taking place within India's economy since 2005? During which years does India's development appear to level off?
Answer:
1. rapid development
2. 2007-2010
Step-by-step explanation:
Answer:
in the picture
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
A dairy produces 256 pints of milk each day. How many gallons of milk is this? (1 gallon
= 8 pints)
Answer:
32 gallons
Step-by-step explanation:
c'mon this is simple, but thx for the points
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
Raise b to the 7th power, then find the quotient of the result and 8
Answer:
b^7 / 8.
Step-by-step explanation:
Pleaseee helpp ASAP....
Answer:
x intercept= (-250,0)
y intercept=(0,100)
Step-by-step explanation:
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)
What is the number based on the list of factors? 1,3,7, __
Please help
Answer:
21 I think, might be wrong.
HELLO HELPPP PLEASE ASAPPP
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.
Solve the combined inequality,
Jasmin plans to buy at least 8 gallons of gas but no more than 14 gallons of gas. The cost of gas with tax is $3.81 per gallon
What range of values describes the total cost of Jasmin's gas purchase?
Enter your answer by filling in the boxes.
Answer:
from 30.48 till 53.34
Step-by-step explanation:
3.81×8=30.48
3.81×14=53.34
The range is 30.48 to 53.34
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary MethodFirst, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
cost of gas with tax is $3.81 per gallon
But gas should be less than 14 gallons and not more than 8 gallons.
So,
=3.81×8
=30.48
3.81×14
=53.34
Hence, the range is 30.48 to 53.34,
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ5
What is the arithmetic mean of the following numbers?
8 10 8 5 4 7 5 10 8
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