Answer: A. [tex]\dfrac{3}{30}=\dfrac{x}{12}[/tex]
Step-by-step explanation:
According to the recipe,
For 2 batches, 3 cups of flour required.
One batch has 15 mix rolls
Then 2 batches will have 2 (15) = 30 rolls
Each person gets one roll, so 3 cups of flour is required for 30 people.
The quanity of flour is proportional to the number of people.
Let x be the quantity of flour required for 12 people.
By proportion,
[tex]\dfrac{\text{Quantity of flour}}{\text{Quanity of person}}=\dfrac{3}{30}=\dfrac{x}{12}[/tex]
Required proportion: [tex]\dfrac{3}{30}=\dfrac{x}{12}[/tex]
The correct option is A. [tex]\dfrac{3}{30}=\dfrac{x}{12}[/tex]
write the first four terms of the arithmetic sequence given a1=-3 and d=-2
If you could help I would really appreciate it, but if not that’s fine. Thank you.
(2x - 5), (2 +30), and (2x – 5)
Solve for x
Pedro drives the same route to work on Monday through Friday. His route includes one traffic light. According to the local traffic department, there is a 55% chance that the light will be red when he arrives at the intersection on a randomly selected workday. Suppose we choose 10 of Pedro's workdays at random and let Y = the number of times that the light is red.
Answer:
6 days
Step-by-step explanation:
Given
The proportion can be represented as:
[tex]p = 55\%[/tex]
And the number of days can be represented as:
[tex]n = 10[/tex]
Required
Determine the expected number of times, the light is red
To do this, we simply multiply the proportion by the number of days:
[tex]Y = n * p[/tex]
Substitute values for n and p
[tex]Y = 10 * 55\%[/tex]
Convert percentage to decimal
[tex]Y = 10 * 0.55[/tex]
[tex]Y = 5.5[/tex]
Approximate
[tex]Y = 6[/tex]
Hence, the expected number of days is 6 days
help me out with this so confused
Answer:
The answer is 3.
Step-by-step explanation:
A rational number means the number can be written as a fraction of two integers. [tex]5\sqrt{9}[/tex]=5*3=15, so it is the only rational number. The other answers cannot be written as a fraction of two integers.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JJ
Answer:
its
Step-by-step explanation:
i cant explane
a person can pay 14$ for a membership to the science museum and then go to the mesum for just 1$ per visit what is the maxium number of visits a member of the science museum can make for the total cost of 43$
Answer:
I think 43 visits
Step-by-step explanation:
I hope this helps you and I hope this is right and have a wonderful day:)
Hello! I won't give you the answer but I'll show you an example to a similar question like that!
Okay, so what if: a person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. what is the maximum number of the art museum can make for a total cost of $18?
An easy way to solve this is to make an equation.
Let's call the number of times we can visit "x".
So, we pay $6 off the bat, and then pay $1 per visit after.
6+1x
That's the cost associated with visiting "x" number of times, now, we need to know how many times we can visit for 18, so we equate the expression to 18.
6+x=18
x=12
We can visit 12 times.
I hope this helps and that now you know the problem is supposed to be solved!
See ya later, pal!
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answer:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
Step-by-step explanation:
The volume of the cylinder without the prism can be defined as the volume of the entire cylinder ([tex]V_{cy}[/tex]), measured in cubic centimeters, minus the volume of the prism ([tex]V_{pr}[/tex]), measured in cubic centimeters. That is:
[tex]V = V_{cy}-V_{pr }[/tex] (1)
[tex]V = \frac{\pi}{4}\cdot D^{2}\cdot h - l^{2}\cdot h[/tex]
[tex]V = \left(\frac{\pi}{4}\cdot D^{2}-l^{2} \right)\cdot h[/tex] (2)
Where:
[tex]D[/tex] - Diameter of the cylinder, measured in centimeters.
[tex]l[/tex] - Side of the square prism, measured in centimeters.
[tex]h[/tex] - Height of the square prism, measured in centimeters.
If we know that [tex]D = 2\,cm[/tex], [tex]l = 0.6\,cm[/tex] and [tex]h = 6\,cm[/tex], then the volume of the cylinder without the prism is:
[tex]V = \left[\frac{\pi}{4}\cdot (2\,cm)^{2}-(0.6\,cm)^{2} \right]\cdot (6\,cm)[/tex]
[tex]V \approx 16.690\,cm^{3}[/tex]
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
A a book is originally priced at $65 the online retailer gives a discount and the book is now priced at $52 into the percentage discount for the cost of the book.
Answer:
20%
Step-by-step explanation:
Original price = $65
Current price = $52
Discount = $65 - $52
Discount = $13
The percentage discount is calculated as:
Discount/Original price × 100
= $13/$65 × 100
= 20%
The percentage discount for the cost of the book is 20%
how i solve this one
Answer:
Look at explanation
Step-by-step explanation:
3x - y = 14
-3 -3
x=11
-------------------------------------------------
5x + 4y = 12
9xy=12
-9 -9
xy=3
x=1.5 y=1.5
--------------------------------------------------------
total= 14
Sorry if wrong btw
Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket sales. If the club sells 40 tickets in advance, what is the least number of tickets the club needs to sell at the door to reach the president’s goal?
Least number of tickets =
Answer:
x≥48
Step-by-step explanation:
4×40 = 160
400-160 = 240
240÷5 = 48
Which is 42.364 written with words?
You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first is a diamond and the second card is a five.
Answer:
1/52
Step-by-step explanation:
52/4=13 theirs only 4 5s in a deck of cards so 13*4 is 52
A company makes Poppy Lapel Pins.
Each of them costs £1.10 to make.
In October it made 1000 lapel pins.
35% of them are given to charities.
The rest are sold in two formats: 60% of them at £3.00 each
40% of them at £5.00 for 2
Assuming that all the lapel pins will be sold by the end of November,
work out the percentage profit the company should make.
Give your answer to 1 decimal place.
Answer:
1000 less 35% == 650
so 250 given to charity
total cost making the pins was 1000x 1.10 = 1100
so you need to find 60 percent of 650 =390
and 40 percent of 650 = 260
so then you need to find the cost 390 x 3 pounds each so × this and gives you 1170 cost sold for intotal
Then you have 260 ÷2 = 130 x 5 = 650
so you have 650+1170 = 1820 - 1100 cost to make =720 pounds
think this right
30 points! See pic attached. Will mark brainliest.
Answer:
Step-by-step explanation:
i think it a c e i hope this helps :^
answer: D,B,C
Step-by-step explanation:
line A is perpendicular to B and line A and B is parallel to line C
Julien is baking cookies with his mother.
The recipe calls for:
1 ½ cups of flour
2 ⅔ cups of oatmeal
3 ¼ cups of chocolate chips
1 cup of sugar
½ cup of brown sugar
The only measuring cups that Julien can find are ⅛ cup and ⅓ cup. How will he make the cookies?
Answer:
well quite easily just doing the math
Step-by-step explanation:
Ta -Da
1 1/2 cups of flour = 12/8 cups of flour
2 2/3 cups of oatmeal = 2 2/3 cups of oatmeal
1 cup sugar = 3/3 or 8/8 cups of sugar
1/2 cup of brown sugar = 4/8 cups of brown sugar
I need help with this ASAP and can you explain so i can understand?!
Answer:
Adult tickets sold = 225
Student Tickets sold = 375
Step-by-step explanation:
Let:
Adult tickets sold = x
Student Tickets sold = y
Total tickets sold = 600
So, we can write: x+y = 600
Total money collected = 3037.50
Cost of 1 Adult ticket = $6.00
Cost of one Student ticket = $4.50
So, we can write: 6x+4.5y=3037.50
Now, we get a system of equations, that if solved we can find values of x and y
Let:
[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]
We can solve using substitution method.
Finding value of x from eq(1) and putting it in eq(2)
[tex]We\:have\\x+y=600\\x=600-y[/tex]
Put in eq(2)
[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]
So, we get value of y = 375
Now put value of y in eq(1) to find value of x
[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]
So, we get value of x = 225
The Tickets sold will be:
Adult tickets sold = x = 225
Student Tickets sold = y = 375
describe the horizontal and/or vertical shifts used to transform the equation y=|x| to the equation y=|x|+4
Please help me lol!!!!!!
Answer:
A
Step-by-step explanation:
Tell whether the equation has one solution, no solution, or infinitely many solutions. 3x - 7 = 3(x - 3) + 2
Answer:3x-7=3(x-3)+2
3x-7=3x-9+2
3x-7=3x-7
Group like terms
3x-3x=-7+7
0=0
Step-by-step explanation: the above calculations implies that, the equation has no solution, since all the unknown variables also vanish to zero.
Plz help!! Meera is researching cruising speeds of different planes. Which airplanes has a greater cruising speed?
Answer:
The one on the graph
Step-by-step explanation:
Mr. Bradley is building a storage closet. He has four boards that are 9 feet long. He needs to cut boards into 18 inches long. What is the greatest number of 18-inch pieces that Mr. Bradley can cut from the four wooden boards? (1-foot = 12 inches)
PLEASE HELP. And dont answer if you dont know please it just a waste of time. This is a test
Answer:
The answer would be 6
y = 2x - 1
y=-3x + 4
Solve the following system of equations for x
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 1
y = -3x + 4
Step 2: Solve for x
Substitution
Substitute in y: 2x - 1 = -3x + 4Add 3x on both sides: 5x - 1 = 4Add 1 to both sides: 5x = 5Divide 5 on both sides: x = 1Answer:
[tex]y = 2x - 1 \: and \: y = - 3x + 4 \\replacing \: the \: value \: of \: y, \: we \: get \\ 2x - 1 = - 3x + 4 \\ 5x = 5 \\ \boxed{x = 1}[/tex]
x= 1 is the right answer.3n - 2n- 6h + 9
Pls help ASAP
Answer:
n-6h+9
first you subtract the ns from each other because those are the only like terms
Pls help and show workings due asap
Step-by-step explanation:
l^2=15^2+6^2
l^2=225+36
l^2=261
l=√261
A computer store buys a computer system at a cost of $487.20. The selling price was first at $812, but
then the store advertised a 30% markdown on the system. Answer parts a and b.
a. Find the current sale price.
The sale price is $0
Round to the nearest cent as needed.)
NEEED HELP ASAP
Answer: a. The sales price $568.40
b.the price for the club members is $511.56
Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u
Find the equation of the straight line which passes through the point (2,3) and is
inclined at 30° to the positive direction of the x-axis.
Answer: y = 1.73*x - 0.46
Step-by-step explanation:
For a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:
Tan(A) = a.
in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:
A + 30° = 90
A = 90° - 30° = 60°
Then the slope is:
a = Tan(60°) = 1.73
Then we have the equation:
y = 1.73*x + b
And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.
3 = 1.73*2 + b
3 - 1.73*2 = b = -0.46
Then the equation is:
y = 1.73*x - 0.46
Kim drives 156 miles from rotherman to London she drives the average speed of 60 miles per hour
Answer:
2 hours and 36 minutes
Step-by-step explanation:
156/60 hours=2.6 hours. i.e. it takes her 2 hours and 36 minutes to reach from Rotherham to London
By leading figure estimation, approximate the value of 5 850÷22
Given g(x)=30-6x, find g(-4)=____?
Answer:
g(-4)=54
Step-by-step explanation:
g(-4)=30-6(-4)
g(-4)=30+24
g(-4)=54