a potter is making cups and saucers. each cup takes c minutes to produce, and each saucers takes s minutes. Th epotter can produce three cups and two saucers in 19 mnutes
Answers
Answer:
1) 3c+2s=19
4c+5s=30
2) c=5 s=2
3)42minutes
Step-by-step explanation:
The potter need 3c minutes to make three cups and 2s to make two saucers, then he needs 3c+2s minutes to make both of them
3c+2s=19
He needs 4c+5s minutes to produce 4 cups and 5 saucers
4c+5s=30 (half of an hour is 30 minutes)
So the equations are
3c+2s=19
4c+5s=30
2) to solve you should express c from the first equation and use it in the second equation
3c=19-2s
c=19/3-(2/3)*s
4(19/3-(2/3)*s) +5s=30
76/3-(8/3)*s+5s=30
(7/3)*S= (14/3)
s=2
3c=19-4
3c=15
c=5
3) 6c+6s= 6(c+s)= 6(5+2)=6*7=42
Related Questions
Jackson gets $3,600 worth of new toy cars each toy car is worth $18 how many toy cars did Jackson get
Answers
Answer:
200 I think
Step-by-step explanation:
If one new toys of car cost
1. =. $18
x. &3600
Cross Multiply
18x. = 3600
Divide both side by 18.
x = 3600\ 18
x. = 200 new toys of car
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x+2y=9 and x=2y+1
helppppppppppppppppp meeeeereeer
Answers
Answer: y = 2
Step-by-step explanation:
we need to use systems of equations, basically since we know what x equals, we plug that into first equation so:
since x=2y+1,
we can say that:
(2y+1)+2y=9
then we solve this equation,
first we expand the brackets- 2y+1+2y=9,
then we combine like terms- 4y+1=9
then we take 1 away from both sides- 4y=8
then we divided both sides by 4
y=2
Hope this helps xx
Answer:
(5, 2)Step-by-step explanation:
Given system:
x + 2y = 9x = 2y + 1Solve for y by substitution:
(2y + 1) + 2y = 94y + 1 = 94y = 8y = 2Find the value of x:
x = 2*2 + 1x = 5What is the remainder when 62,710 is decided by 541
Answers
Answer:
the quotient is is 115.915 and the remainder is 495
Step-by-step explanation:
Hope it helps you
Mark my answer as brainlist
have a nice day
which of the following are ordered pairs for the given function f(x)=1+x.? (1,2) (3,3) (0,2) (1,0) (0,1)
Answers
Answer:
no,
(
1
,
0
)
is not an ordered pair of the function
f
(
x
)
=
1
+
x
.
Step-by-step explanation:
Ordered pairs are usually written in the form
(
x
,
y
)
by tradition.
so usingthe function,
f
(
x
)
=
1
+
x
we can rewrite it as,
y
=
1
+
x
any pair of x and y that satisfy this equation are solutions to the equation.
so subbing in
(
1
,
0
)
,
0
=
1
+
(
1
)
0
=
2
which is not true so the point does not make the function true.
It might be easier to see graphically,
graph{1+x [-10, 10, -5, 5]}
any combination of x and y on this line make the equation true and as such are an ordered pair of the function.
Answer:
Step-by-step explanation:
A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can sell 300 plates but for each Ghc5 she raises the price,10 less plates are sold. A.Draw a table relating 5 different price levels with their corresponding number of plates sold.
B.Use the table to find the slope of the demand
C.Find the equation of the demand fraction.
D.Use your equation to determine the price in Ghc if she sells one plate of food to maximize her revenue
Answers
The demand equation illustrates the price of an item and how it relates to the demand of the item.
The slope of the demand function is -1/2The equation of the demand function is: [tex]R(x) = (300 - 10x) \times (20 + 5x)[/tex]The price that maximizes her revenue is: Ghc 85From the question, we have:
[tex]Plates = 300[/tex]
[tex]Price = 20[/tex]
The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:
[tex]\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}[/tex]
The slope (m) is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{25-20}{290-300}[/tex]
[tex]m = \frac{5}{-10}[/tex]
[tex]m = -\frac{1}{2}[/tex]
The equation of the demand is as follows:
The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).
Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).
So, the demand equation is:
[tex]R(x) = (300 - 10x) \times (20 + 5x)[/tex]
Open the brackets to calculate the maximum revenue
[tex]R(x) =6000 + 1500x - 200x - 50x^2[/tex]
[tex]R(x) =6000 + 1300x - 50x^2[/tex]
Equate to 0
[tex]6000 + 1300x - 50x^2 =0[/tex]
Differentiate with respect to x
[tex]1300 - 100x =0[/tex]
Collect like terms
[tex]100x =1300[/tex]
Divide by 100
[tex]x =13[/tex]
So, the price at maximum revenue is:
[tex]Price= 20 + 5x[/tex]
[tex]Price= 20 + 5 * 13[/tex]
[tex]Price= 85[/tex]
In conclusion:
The slope of the demand function is -1/2The equation of the demand function is: [tex]R(x) = (300 - 10x) \times (20 + 5x)[/tex]The price that maximizes her revenue is: Ghc 85Read more about demand equations at:
https://brainly.com/question/21586143
how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right.how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right. plz answer the question steps by step.
Answers
A tank containing 6312 litres of water fills several buckets of capacity 8 litres each. Will there be any
water left in the tank after filling all the buckets?
YES/NO and state reason for your answer.
Answers
Answer:
NO
Step-by-step explanation:
6312/8= 789
here, 6312 is devisable by 8.
Therefore, there will not be any water left in the tank.
In the diagram, the perimeter of the rectangle is 56. What is its area?
Answers
l
=
15 yep this should be the answer
brainliest to correct
Answers
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
-9 × -3
= 27
Note: When you multiply two integers with same sign, then their product is positive.
Someone PLEASE HELP!!! Nowwww
Answers
a cubical water tank is 80 CM broad how many CC of water does it hold
Answers
Answer:
I think: vol of h20 inside = side³ = (80cm)³ =512000 cm³
Please refer!
Step-by-step explanation:
I'm not sure but hope it helps.
which is an example of an algebraic expression
A.4(3+8)
B.18^2
C. 3-a
D. 12•4
Answers
Answer:
C: 3-a
Step-by-step explanation:
The answer is C because an algebraic expression needs to have a variable in it. The variable is "a," so the answer has to be C.
Answer:
Option C : as in algebraic expression there must a variable and constant.
PLEASE ANSWER ASAP THANK YOU!!! How much money will be in a bank account after 3 years if $9 is deposited at an interest rate of 5% compounded annually? Round to the nearest dollar.....
Answers
Answer:
10 bucks
Step-by-step explanation:
Money=9*(1+0.05)^3
Money=9*(1.05)^3=10.41≈10
how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right.
Answers
My room is made up of four walls, both the floor and the ceiling are rectangular in shape.
There are four walls in my room. The shape of the floor is a rectangle and given that the ceiling is the same form above the floor, it is also shaped as a rectangle.
To get the area of a rectangle, you use this formula since my floor and ceiling are rectangle.
Area = L * W
where
L = length
W= width
But if you have a square floor and ceiling, the area of a square is
Area = s²
given that it is side * side.
In conclusion, there are 4 walls in every room. The shape of the ceiling or floor could be a rectangle or a square. It depends on your room and its measurements. To get the area, multiply the length by the width.
read more at https://brainly.com/question/24359958?referrer=searchResults
A rectangluar swimming pool 25 feet long, 15 feet wide, and 7 feet deep is filled with water to a depth of 6 feet. The weight density of water is 62.4 lb ft 3 lb/ft^3. Calculate the work required to pump all of the water out over the top.
___________ ft-lb
Answers
9514 1404 393
Answer:
491,400 ft·lb
Step-by-step explanation:
The mass of the water is ...
M = Vρ = LWHρ = (25 ft)(15 ft)(7 ft)(62.4 lb/ft³) = 163,800 lb
The average depth is 3 ft, so the work required is equivalent to that required to raise this mass 3 ft.
W = (3 ft)(163,800 lb) = 491,400 ft·lb
answer this question fast with steps and I'll mark brilliantest
Answers
Answer:
825g and 3108g respectively
Step-by-step explanation:
Nitrogen needed for 2kg compound=275g
Nitrogen needed for 6kg compound=825g
Sulphur needed for 2kg compound=1036g
Sulphur needed for 6kg compound=3108g
Solve for x in the equation x2 - 4x-9= 29
Answers
Please Help Me!!! (WORTH 60 POINTS) Will Give Extra points out
Answers
O C.
Step-by-step explanation:
To find a missing side length, use Pythagorean Theorem:
a^2 + b^2 = c^2 where a = 5 b = x and c = 6
5^2 + x^2 = 6^2
25 + x^2 = 36
x^2 = 36 - 25
x^2 = 11
x = 3.3
The value of x is sqrt rt 11
Answer:
√11 cm
Step-by-step explanation:
Pythagorean Thereom
a^2 + b^2= c^2
x^2 +5^2=6^2
x^2 + 25 = 36
subtract 25 from both sides
x^2=11
do the square root
x = √11
A jet travels 500 kilometers in 40 minutes with a tail wind. Returning, the jet takes 50 minutes to cover the same distance. What is the rate of the plan and the speed of the wind?
Answers
Answer:
675 km/hr and 75 km/hr
Step-by-step explanation:
Let the speed of plane in still air be x and the speed of wind be y.
ATQ, (x+y)*(40/60)=500 and (x-y)*(50/60)=500. Solving it, we get x=675 and y=75
A cylinder Container must
hold al or 2,000 cm3 of
liquid, which of the following
is the optimazation equation
in terms of the radius r.
if the anaunt of material
used to make the container
is to be minimized?
Answers
The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 18 inches and a second side that is 3 inches less than twice the third side, what are the possible lengths for the second and third sides?
Answers
Answer: One side could be 18 and the other side will be 33.
Step-by-step explanation:
Side #1 = 18Side #2 = 2x - 3Side #3 = xOne way of setting up the inequality is: Side #2 + Side #3 > Side #1
[tex]2x-3+x>18\\3x-3>18\\3x>18+3\\3x>21\\x>7[/tex]
Another way of setting up the inequality is: Side #1 + Side #3 > Side #2
[tex]18+x>2x-3\\18+3>2x-x\\x<21[/tex]
Final way of setting up the inequality is: Side #1 + Side #2 > Side #3
[tex]18+2x-3>x\\15>x-2x\\15>-x\\x>-15[/tex]
Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.
Evaluate the expression 2x-xy if x= -1/2 and y=8
Answers
Answer:
3
Step-by-step explanation:
2x-xy
2(x)-(x)(y)
2(-1/2)-(-1/2)(8)
-1 - (-4)
-1 + 4
3
Answer:
3
Step-by-step explanation:
2x-xy
Let x = -1/2 and y = 8
2(-1/2) - (-1/2)(8)
Multiply
-1 - (-4)
Subtracting a negative is like adding
-1+4
Add
3
a number has 7 at the tens place .there is zero in the thousand place. the number 5 is at the hundreds place .there is number 1at the ten thousand place..what is the number?
Answers
2. The table shows the probabilities of winning or losing when the team is playing away or is playing at home.
Home Away Total
Win 0.2 0.05 0.25
Loss 0.6 0.15 0.75
Total 0.8 0.20 1.00
(a) Are the events “winning” and “playing at home” independent? Explain why or why not.
(b) Are the events “losing” and “playing away” independent? Explain why or why not.
Answer:
Answers
1. Find the greatest number of 4-digits which is exactly divisible by each of 2,3,4,5,6 and 7.
Answers
Answer:
Step-by-step explanation:
The number which is divisible by 2, 3, 4, 5 and 6 will also be divisible by LCM of 2, 3, 4, 5 and 6. Let us divide 9999 by 60 and find the remainder, Remainder after dividing 9999 by 60 is 39. Therefore, the largest number which is divisible by these numbers should be 39 less than 9999.
A trader bought a bag for one hundred and twenty five.he later sold it at a profit of Thirty percent what was his selling price
Answers
Answer:
I can’t really explain this bc i did it mentally, but i got 162.5
The sales tax for an item was $18.40 and it cost $460 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answers
Answer:
4%
Step-by-step explanation:
item cost x sales tax rate = sales tax
460 x sales tax rate = 18.40
sales tax rate = 18.40/460
sales tax rate = .04 or 4%
g (1) = ?
Evaluate piecewise functions
Answers
Answer:
g(1) = 1
Step-by-step explanation:
g(1) with x = 1 corresponds to x ≠ - 2, - 1 with g(x) = x³ - x² + 1 , then
g(1) = 1³ - 1² + 1 = 1 - 1 + 1 = 1
Answer:
g ( 1 ) = 1
Step-by-step explanation:
→ Substitute x = 1 into x³ - x² + 1
( 1 ) ³ - ( 1 )² + 1
→ Simplify
1 - 1 + 1 = 1
Suppose a statistics instructor believes that there is no significant difference between the mean class scores of statistics day students on Exam 2 and statistics night students on Exam 2. She takes random samples from each of the populations. The mean and standard deviation for 35 statistics day students were 75.86 and 16.91. The mean and standard deviation for 37 statistics night students were 75.41 and 19.73. What conclusion can be made based on the data
Answers
I’m just doing it cause Brainly making me
True or False. A rational number can be expressed as the quotient a/b where b ≠ 0
Answers
Answer:
true. A rational number can be expressed as the quotient a/b where b ≠ 0
