Answer:
The system of equations is given as:
x ≥ $500
y ≥ $800
x + y ≤ 1600
20x + 30y ≥ 2800
Step-by-step explanation:
From the question
We are told that
x = Number of $20 seats
y = Number of $30 seats
$20 seats = At least $500 (greater than or equal to)
$30 seats = At least $800 (greater than or equal to)
You are designing a social hall that would seat no more than 1600 people
No more than means less than or equal to ≤ 1600 people
x + y ≤ 1600 people
Total revenue generated = At least $2800. This means ≥ (greater than or equal to).
20x + 30y ≥ $2800
The system of equations is given as:
x ≥ $500
y ≥ $800
x + y ≤ 1600
20x + 30y ≥ 2800
Option C is the correct Option.
What is the measure of EF and m
Answer:
EF=18 inches
Measure of angle F = 134
Step-by-step explanation:
It's an isosceles triangle because the two given angles are equal. So, hypothetically, if you flipped the triangle to have side EG on the ground, then given the rules of isosceles triangles, side EF is equal to side GF.
To find the angle of F just add the given angles and substract from 180
The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial investment firm. Over what interval is the change constant? [0, 5) [1, 5) [0, 20) [1, 20)
Answer: The answer is 1,5
Step-by-step its talking about x
Answer:
c
Step-by-step explanation:
bc edge22
The toy shop makes 500 containers of slime a day. How many containers of slime will they make in 30 days? Use what you know about factors of 10 to explain your answer.
Answer:
1,500
Step-by-step explanation:
Because 500 times 30 equals 1,500
I need the answer ASAP! Please help me!
Answer:
Please check the explanation.
Step-by-step explanation:
Determining the length of BC
From the diagram, it is clear that
The point B is located at (-8, 10) and point C is located at (8, 10)Since points A and C are located on a horizontal straight line. Thus, the length of BC can be determined by counting the x-axis units from reaching x = -8 to x = 8. i.e. 8-(-8) = 8+8 = 16
Thus, the length of BC = 16 units
Determining the length of CD
Given
C (8, 10) D (2, -2)The distance between C(8, 10) and D(2, -2)
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]CD=\sqrt{\left(2-8\right)^2+\left(-2-10\right)^2}[/tex]
[tex]=\sqrt{6^2+12^2}[/tex]
[tex]=\sqrt{36+144}[/tex]
[tex]=\sqrt{180}[/tex]
[tex]=\sqrt{36\times 5}[/tex]
[tex]=6\sqrt{5}[/tex]
Thus, the length of CD [tex]=6\sqrt{5}[/tex] units
Determining the length of ED
Given
E (-8, -4) D (2, -2)The distance between E(-8, -4) and D(2, -2)
[tex]ED=\sqrt{\left(2-\left(-8\right)\right)^2+\left(-2-\left(-4\right)\right)^2}[/tex]
[tex]=\sqrt{10^2+2^2}[/tex]
[tex]=\sqrt{100+4}[/tex]
[tex]=\sqrt{104}[/tex]
[tex]=\sqrt{26\times \:4}[/tex]
[tex]=2\sqrt{26}[/tex]
Thus, the length of ED [tex]=2\sqrt{26}[/tex] units
Determining the length of EB
From the diagram, it is clear that
The point E is located at (-8, -4) and the point B is located at (-8, 10)Since points E and B are located on a vertical straight line. Thus, the length of EB can be determined by counting the y-axis units from reaching y = -4 to y = 10. i.e. 10-(-4) = 10+4 = 14
Thus, the length of EB = 14 units
There are 25 girls and 28 boys what is the ratio of the boys and the girls
Answer:
Ratio of Boys : 28/53
Ratio of Girls : 25/53
Step-by-step explanation:
Girls : Boys
25 : 28
(Add them up) 25 + 28 = 53
53 = Total of both B & G
Hope this helps. :)
Best answer gets a brainiest Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer
Answer:
11:35 am
Step-by-step explanation:
1 hour and 10 minutes at the Willis Tower,
3 hours and 10 minutes at Navy Pier
1 hour and 15 minutes shopping
Total time: 5 hours 35 minutes
They need to be at dinner at 5 :10 pm
Subtract 5 hours
12:10 pm
Subtract 35 minutes
Subtract 10 minutes makes 12:00pm
Then go back 25 more minutes
11:35 am
A taxi agency collected data from a random sample of 600 people in their city asking whether or not they own a car. Based on the results, they report that 44% of the people in the state own a car. Why is this statistic misleading
Answer:
first of all 44% of 600 people is equal to 264 .
the statistics is misleading because 264 people can't unless the taxi angecy included themselves
The container that holds the water for the football team is 1/6 full. After pouring in 11 gallons of water, it is 2/3 full. How many gallons can the container hold?
Answer:
The container can hold 22 gallons of water.
Step-by-step explanation:
Let 'g' be the number of gallons a container can hold
Given the initial amount of water = 1/6 gGiven that 11 gallons of water have been added to the container.
so the final quantity will become = 2/3 gThus, the equation becomes
[tex]\frac{2}{3}g-\frac{1}{6}g=11[/tex]
Multiply by LCM 6
[tex]\frac{2}{3}g\cdot \:6-\frac{1}{6}g\cdot \:6=11\cdot \:6[/tex]
[tex]4g-g=66[/tex]
[tex]3g=66[/tex]
Divide both sides by 3
[tex]\frac{3g}{3}=\frac{66}{3}[/tex]
[tex]g=22[/tex]
Therefore, the container can hold 22 gallons of water.
The ratio of apples to oranges on the shelf is 6:5. If there are 220 pieces of fruit on the shelf, how many of each kind are there?
Answer:
120 apples and 100 oranges
Step-by-step explanation:
6/11 x 220 = 120 apples
5/11 x 220 = 100 oranges
PLZ Help!!! Best answer gets Brainliest!!!
Answer:
yes it is a proportional relationship
Step-by-step explanation:
:) gl!
Help please easy 8th grade math!!!❤️❤️❤️❤️❤️❤️❤️❤️❤️The ages of Moe, Larry, and Curly are consecutive odd numbers, where Moe is the youngest and Curly is the
oldest. The sum of the ages of Moe and Larry equals Curly's age in 5 years. Find the ages of all three
stooges.
Moe, 3 Larry, 1
Step-by-step explanation:
What is the solution to the following system x+y+z=6 and x-y+z=8 and x+y-z=0
Answer:
[tex]\boxed{x = 4, ~y = -1,~ and~z = 3}[/tex]
.
Step-by-step explanation:
(eq-1) → x + y + z = 6
(eq-2) → x - y + z = 8
(eq-3) → x + y - z = 0
.
Eliminate eq-1 and eq-3
[tex]x + y + z = 6[/tex]
x + y - z = 0
[tex]2z = 6[/tex]
[tex]z = \frac{6}{2}[/tex]
[tex]z = 3[/tex]
.
Eliminate eq-1 and qe-2
[tex]x + y + z = 6[/tex]
x - y + z = 8
[tex]2y = -2[/tex]
[tex]y = \frac{-2}{2}[/tex]
[tex]y = -1[/tex]
.
Substitute the value of z and y to on of equations
[tex]x + y + z = 6[/tex]
[tex]x + (-1) + 3 = 6[/tex]
[tex]x + 2 = 6[/tex]
[tex]x = 6 - 2[/tex]
[tex]x = 4[/tex]
Answer:
The solution for the following system is: [tex]\mathbf{x=4, y=-1, z=3}[/tex]
Step-by-step explanation:
We need to find the solution to the following system.
[tex]x+y+z=6 \ and \ x-y+z=8 \ and \ x+y-z=0[/tex]
Let:
[tex]x+y+z=6 --eq(1)\\ x-y+z=8 --eq(2)\\ x+y-z=0--eq(3)[/tex]
Adding eq(1) and eq(2)
[tex]x+y+z=6 \\x-y+z=8 \\-------\\2x+2z=14 --eq(4)[/tex]
Adding eq(2) and eq(3)
[tex]x-y+z=8 \\ x+y-z=0\\-------\\2x=8\\x=8/2\\x=4[/tex]
We get value of x=4
Now, putting value of x in eq(4) to find value of z
[tex]2x+2z=14\\Put x=4\\2(4)+2z=14\\8+2z=14\\2z=14-8\\2z=6\\z=6/2\\z=3[/tex]
We get value of z=3
Now, putting value of x and z in eq(1) to find value of y
[tex]x+y+z=6\\Put \ x=4, z=3\\4+y+3=6\\y+7=6\\y=6-7\\y=-1[/tex]
So, value of y=-1
The solution for the following system is: [tex]\mathbf{x=4, y=-1, z=3}[/tex]
In a recent News, it was reported that light trucks, which include SUV’s , pick-up trucks and minivans, accounted for 40% of all personal vehicles on the road in 2012. Assume the rest are cars. Of every 100,000 cars accidents, 20 involve a fatality; of every 100,000 light trucks accidents, 25 involve a fatality. If a fatal accident is chosen at random, what is the probability the accident involved a light truck?
Answer:
45.45%Step-by-step explanation:
Light tracks = 40% = 0.4Cars = 60% = 0.6Fatal accidents involving light tracks:
25/100000 = 0.00025Fatal accidents involving cars:
20/100000 = 0.0002Probability of a fatal accident involving a light track:
p = involving light tracks /involving both cars and light tracksp = 0.4*0.00025/(0.4*0.00025 + 0.6*0.0002) = 0.4545 p = 45.45%which statements are true about points A, B, and C? check all that apply.
Answer:
2
Step-by-step explanation:
2 seems to be the only one that is correct
Correct Statements: (modified the statements that are incorrect)
1. The coordinates of point A are (-3, 3)
2. Already correct
3. The coordinates of point C are (-2, -2)
4. Point B is the closest to the y-axis (only one away)
5. Point A is 3 away and Point B is 1 away
(sorry if this is confusing but this is what I got)
6. To solve 3 3/4 + r = 5 3/8, use the
property of equality.
A) addition
B) subtraction
C) multiplication
division
HELP it’s number 6. problem
Answer:
B
Step-by-step explanation:
3 3/4 +r _3 3/4= 5 3/8_3 3/4
The cashier counts 80 bills, all with the same value. She gets a total of $800. What is the value of each bill?
help
(04.05)Marisa painted 1 of her bedroom in 3 of an hour. At this rate, how long would it take her to paint the entire room?
12 2
4
O
of an hour
of an hour
o
6
of an hour
of an hour
4
The Question above is incomplete.
Complete Question
Marisa painted one-half of her bedroom in three-fourths of an hour. At this rate, how long would it take her to paint the entire room? three-eighths of an hour eight-thirds of an hour four-sixths of an hour six-fourths of an hour
Answer:
six-fourths of an hour
Step-by-step explanation:
Let her entire room be equal to 1
From the above question
1/2 of her bedroom = 3/4 of an hour
1(Entire bedroom) = x hour
Cross Multiply
1/2 × x = 3/4 × 1
x = 3/4 / 1/2
x = 3/4 ÷ 1/2
x = 3/4 × 2/1
x = 6/4 hour
Hence, it would take Marissa six-fourths(6/4) of an hour to clean her entire room.
The domain of the function f(x) = -2x is restricted to the positive integers. Which values are elements of the range?
2
-4
0
-6
4
-2
6
9514 1404 393
Answer:
{-6, -4, -2}
Step-by-step explanation:
If the domain is positive integers, the range is negative even integers. The only ones on the list are ...
-2, -4, -6
Page
Date
#
Solve sauare completing method
2x^2-9x-5 =0
Answer:
The roots are 5 and −12
Step-by-step explanation:
Hope this helped have an amazing day!
Help it’s 6 grade math
Answer:
the mean is 55.6; if she redid the D and F papers the mean would increase because you would get a higher average than before. Higher scores mean that the number that you add are larger evidently ending up in a larger value
Step-by-step explanation:
if you want to find mean, all you do is add the numbers together and then divide by the total number of values that you added.
so this would be 74+12+61+86+45 and that is 278. Then there is a total of 5 so you divide 278 by 5 which gives you 55.6.
write an expression to represent f(20)
Answer:
Tommy has f amount of marbles. His wife has 20 times Tommy's amount.
Step-by-step explanation:
f×20
what is the cube root of -3375?
Determine the solution to the following system of equations: x + y = -3x - y = 1
(-2,3)
(-1,-2)
(0,0)
No Solution
Answer:
( -1,-2)
Step-by-step explanation:
x + y = -3
x - y = 1
Add the two equations together to eliminate y
x + y = -3
x - y = 1
------------------
2x = -2
Divide by 2
2x/2 = -2/2
x = -1
Now find y
x+y =-3
-1 +y = -3
-1+1 +y = -3+1
y = -2
( -1,-2)
PLEASE HELP !! picture is included !!
Can some please help me with this would you rather problem.
Problem: Would you Rather buy one get a second 25% off or buy two get third 50% off.
Please explain how you solved this in R.A.C.E
Answer:
I would rather buy one and get the second 25%off
Step-by-step explanation:
the sum of 5/7 and 3/6
Answer:
1.21
Step-by-step explanation:
;/
The owner of a small local bakery wants to determine how many fruit-filled pastries she should bake each day. Each pastry costs $.60 to make and sells for $1.00 each. Each pastry that is not sold at the end of the day is sold the next day for $.30 as day-old merchandise. She has determined that her average daily sales of this type of pastry are 193, with a daily standard deviation of 41. Flag this Question Question 114 pts What is the value of Co
This question is incomplete, the complete question is;
The owner of a small local bakery wants to determine how many fruit-filled pastries she should bake each day. Each pastry costs $.60 to make and sells for $1.00 each. Each pastry that is not sold at the end of the day is sold the next day for $.30 as day-old merchandise. She has determined that her average daily sales of this type of pastry are 193, with a daily standard deviation of 41. Flag this Question Question 114 pts
-What is the value of Co
-What is the value of Cu
Answer:
- the value of the cost overage Co is $ 0.3
- the value of the cost shortage Cu is $ 0.40
Step-by-step explanation:
Given that;
Revenue per unit R = $ 1.00
Cost per Unit C = $ 0.60
Salvage value per unit S = $ 0.30
Mean Demand μ = 193
Standard Deviation of demand σ = 41
-To get the value of our cost overage Co;
we simply say
Co = Cost per Unit C - Salvage value per unit S
Co = 0.6 - 0.30 = 0.30
therefore the value of the cost overage Co is $ 0.30
- To find the value of Cost Shortage Cu;
Cu = Revenue per unit R - Cost per Unit C
Cu = 1.00 - 0.60 = 0.40
therefore the value of the cost shortage Cu is $ 0.40
4. A catered menu is to include a soup, a main
course, a dessert, and a beverage. Suppose that
a customer can select from four soups, five
main courses, three desserts, and two beverages.
llow many different menus can be selected?
Answer:
180 different menus
Step-by-step explanation:
I believe that the way you solve this question is to multiply all the numbers of choices together. The product is the answer to this question
Answer:
120 different menus can be selected
Step-by-step explanation:
Variations
The catered menu will include a soup (S), a main course (M), a dessert (D), and a beverage (B).
Since there are 4 soups, 5 main courses, 3 desserts, and 2 beverages, one can think of any combination of a general pattern like S-M-D-B. Each place of this pattern can be used in 4,5,3, and 2 ways.
Thus, the total possible variations of the menu are 4*5*3*2= 120.
120 different menus can be selected
help please I do not know how to do this
Answer:
0 and 1
Step-by-step explanation:
If a polynomial P(x) is divided by (x + h), then by the Remainder theorem
The remainder is the value of P(- h)
(1)
For P(x) divided by (x - 1) , then the remainder is P(1) = 0
(2)
For P(x) divided by (x + 2) then the remainder is P(- 2) = 1
Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of 35 weekly reports showed a sample mean of 19.5 customer contacts per week. The population standard deviation was 5.2. Provide a 99% confidence interval for the population mean number of weekly customer contacts for the sales personnel.
Answer:
The answer is below
Step-by-step explanation:
Given that:
Confidence interval (C) = 99%, mean (μ) = 19.5, standard deviation (σ) = 5.2, sample size (n) = 35
α = 1 - C = 1 - 0.99 = 0.01
α/2 = 0.005
The z score of α/2 (0.005) is the same as the z score 0.495 (0.5 - 0.005) which is equal to 2.576.
The margin of error (E) is given as:
[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=2.576*\frac{5.2}{\sqrt{35} } \\\\E=2.264[/tex]
The confidence interval = (μ ± E) = (19.5 ± 2.264) = (17.236, 21.764).
The confidence interval is between 17.236 and 21.764.