Answer:
15 litres
Step-by-step explanation:
Given
5 litres = 12 guests
Required
Determine the number of litres for 36 guests
Represent the required number of litres with L.
So, we have the following relationship:
[tex]5\ litres = 12\ guests[/tex]
[tex]L = 36\ guests[/tex]
Cross Multiply
[tex]L * 12\ guests = 5\ litres * 36\ guests[/tex]
[tex]L * 12= 5\ litres * 36[/tex]
[tex]12L = 180\ litres[/tex]
Solve for L
[tex]L = \frac{180\ litres}{12}[/tex]
[tex]L =15\ litres[/tex]
Hence, 15 litres are needed
Martha needs 7 strawberries for every 1 smoothie.
What are the missing values in the table
Answer:
Strawberries Smoothies
28 4
21 3
70 10
Step-by-step explaination
If Maria uses 28 strawberries you would divide that by 7 (since that's how many she uses for one smoothie) after you divide 28 by 7 you get 4, 4 is the number of smoothies 28 strawberries makes.
If Maria makes 3 smoothies you multiple 3 by 7 (since that's how many strawberries she uses to make one) 7 times 3 is 21. If you want to check your work you would divide 21 by 7 (the number of strawberries used for 1 smoothie) and you would get 3.
If Maria uses 70 strawberries you would divide 70 by 7 (the number of strawberries used for 1 smoothie) 70 divided by 7 is 10, 10 is the number of smoothies 70 strawberries make.
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.
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. Erica has at most $10 to spend on the cab ride. How far can Erica travel?
Answer:
x = 12.7 or x ≈ 12
Step-by-step explanation:
1.75 + 0.65x = 10
0.65x = 10 - 1.75
0.65x = 8.25
x = 8.25 / 0.65
x = 12.7
x ≈ 12
note: we round it up to 12 and not 13, because Erica does not have enough money for 13 miles
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!
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]
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
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.
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:
;/
...............................................................................................
Answer:
ummmmmmmmmmmmm ok but nice
Step-by-step explanation:
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
what is the area of this figure pleas ill give brainy and lots of points
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:
If the contractor has 40 cubic yards of dirt to haul and a budget of $1000, which hauling company should she hire? Explain or show your reasoning.
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
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Answer:
m<B = 115°
Step-by-step explanation:
add <A and <C, then subtract that from 180° to get <B
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
Which of these describes the function graphed below? PLSSSSSSS help
Answer:
it's B
Step-by-step explanation:
i got right on my assessment and because if you look closer when X is in the negative side the line is straight but when the line increases and the x is in the positive side it's curved
when x<0 the graph is linear and when x>0 then the graph is non- linear.
What is linear and non linearity in a graph?A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions. We can discern if a function is linear or non-linear from its input/output table or equation, but graphing may be the quickest way to do it.
Something that is linear is related to a line. A line is built using all of the linear equations. A non-linear equation is one that cannot be represented by a straight line. It has a variable slope value and resembles a graphed curve.
Given:
We have the graph
From the graph we can see that when x<0 then there linearity or proportionality between x and y.
and, when x>0 then the graph is not a line it is turned out in a curve, which is not linear.
Hence, when x<0 the graph is linear and when x>0 then the graph is non- linear.
Learn more about linear and non linearity in a graph here:
https://brainly.com/question/28393413
#SPJ6
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
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)
(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.
Maggie runs 1/4 of a mile in 1.3 minutes. Olivia runs 2/3 of a mile in 2.9 minutes. Who runs faster? HOW MICH FASTER PER HOUR DOES THE PERSON RUN?
Answer:
Code: Olivia-2.40
Step-by-step explanation:
Given that:
Maggie runs 1/4 of a mile in 1.3 minutes
1/4 can also be written as 0.25
Speed = [tex]\frac{Distance}{Time}[/tex]
Speed = [tex]\frac{0.25}{1.3}[/tex]
Speed of Maggie = 0.19 miles per minute
Speed of Maggie per hour = 0.19*60 = 11.40 miles per hour
Olivia runs 2/3 of a mile in 2.9 minutes
Speed = [tex]\frac{\frac{2}{3}}{2.9}=\frac{2}{2.9*3}[/tex]
Speed = [tex]\frac{2}{8.7}[/tex]
Speed of Olivia = 0.23 miles per minute
Speed of Olivia per hour = 0.23*60 = 13.80 miles per hour
Therefore,
Olivia runs faster.
Difference = 13.80 - 11.40 = 2.40 miles
Hence,
Code: Olivia-2.40
Answer:
Olivia-2.25
If you would like me to explain why, please let me know.
A particle starts to move from rest in a straight line with an acceleration which increases with constant time rate from 1 ft./sec^{2} to 4 ft./sec^{2} in one second. prove that the particle will move a distance of 1 ft. in this second.
The particle's acceleration a increases at a constant rate, so that its average rate of change is equal to its instantaneous rate of change, which is equal to
(4 ft/s² - 1 ft/s²) / (1 s) = 3 ft/s³
The particles starts with acceleration a (0) = 1 ft/s², so we can determine its acceleration at time t by the fundamental theorem of calculus:
a(t) = a (0) + ∫₀ᵗ (3 ft/s³) du
a(t) = 1 ft/s² + (3 ft/s³) t
It also starts from rest, so with initial velocity v (0) = 0. Integrating again gives us the velocity function,
v(t) = v (0) + ∫₀ᵗ a(u) du
v(t) = ∫₀ᵗ (1 ft/s² + (3 ft/s³) u) du
v(t) = (1 ft/s²) t + 1/2 (3 ft/s³) t ²
Taking the particle's initial position to be x (0) = 0, compute the integral again to determine the distance it travels in 1 s:
x(t) = x (0) + ∫₀ᵗ v(u) du
x(t) = ∫₀ᵗ ((1 ft/s²) u + 1/2 (3 ft/s³) u ²) du
x(t) = 1/2 (1 ft/s²) t ² + 1/6 (3 ft/s³) t ³
→ x (1 s) = 1/2 (1 ft/s²) (1 s)² + 1/6 (3 ft/s³) (1 s)³ = 1 ft
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%
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
A. 5x – 2 + 2 = 2 - 4
B.
5x +2 = 2-4
1) How can we get Equation B from Equation A?
Choose 1 answer:
А
Add/subtract a quantity to/from only one side
B
Add/subtract the same quantity to/from both sides
Rewrite one side (or both) using the distributive property
Answer:a
Step-by-step explanation:
The function g is defined by:
g(x) = x² - x - 6
so
g (-4) = (-4)² - (-4) - 6 = 16 + 4 - 6 = 14
When g(x) = 6, we have
6 = x² - x - 6
x² - x - 12 = 0
Solve for x. We factorize this easily as
(x - 4) (x + 3) = 0
which gives
x - 4 = 0 or x + 3 = 0
x = 4 or x = -3
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
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)
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