Answer:
a) 9 whole batches can be made
b) The cost of sugar for each batch = $0.26
Step-by-step explanation:
A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49.
This means:
2 pound bag of sugar = 227 teaspoon servings
2 pounds bag of sugar cost $2.49
We are told that:
A batch of muffins uses 1/2 cup of sugar.
a).How many whole batches can you make if you use as much of the sugar as possible?
(1 cup = 48 teaspoons)
Hence, A batch of muffins = 1/2 cups of sugar = 48 teaspoons of sugar ÷ 2
= 24 teaspoons of sugar
Hence:
24 teaspoons of sugar = 1 batch of muffins
227 teaspoons of sugar = x
Cross Multiply
24 × x = 1 × 227
x = 227/24
x = 9.4583333333 batches of muffins
We are asked to name the number of whole batches that can be made.
Therefore, 9 whole batches of muffins can be made
b) What is the cost of sugar for each batch? (do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.
Since we are not to consider the leftover sugar in the cost calculation,
1 batch = 24 teaspoons of sugar
9 whole batches =
9 × 24 teaspoons = 216 teaspoons of sugar was used
The left over = 227 - 216 = 11 teaspoons of sugar is left
We know that:
227 teaspoons of sugar = $2.49
216 teaspoons of sugar = x
Cross Multiply
= 216 × $2.49/227
= $2.369339207
24 teaspoons of sugar = 1 batch of muffins
Therefore,
216 teaspoons of sugar =
$2.369339207
24 teaspoons of sugar =
24 × $2.369339207/ 216
= $0.2632599119
Approximately = $0.26
Therefore, the cost of sugar for each batch = $0.26
find the equation of the line. Use exact numbers.
help
Answer:
y = 2x + 4
Step-by-step explanation:
the line intersects the y axis at 4. so, b = 4
For the slope, to make it really easy, you can find a point where the line is on a point purfectly and just count how many times you went up or down and then left or right. Or, you can pick 2points and use the slope formula (y2-y1)/(x2-x1). the slope is 2.
What is the equation of a line, in point-slope form, that passes through (-2,-6)and has a slope of 1/3 ?
Answer:
y +6 = 1/3(x+2)
Step-by-step explanation:
Point slope form:
y - y1 = m(x - x1)
m = slope
Since x and y are negative, the double negatives make a positive.
√27
A. 3√3
B. 6√7
Which one?
Answer:
√27 = A. 3√3
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:
3 √ 3
Which equation has no solutions?
1. 2(x + 3) = 3(2x + 2)
2. -x + 3 + 5x = 4x + 3
3. 2(2x – 10) + 32 = 4(x+3)
4. 3(5x + 4) – 20 = 15x -4
Answer:
4. 3(5x+4)-20=15x-4 has no solution
Step-by-step explanation:
3(5x+4)-20 = 15x - 4
15x-8=15x-4
15x = 15x+4
0=4
No Solution
Answer:
3(5x + 4) – 20 = 15x -4
Step-by-step explanation:
2x + 6 = 6x + 6 One solution 4x = 0
4x + 3 = 4x + 3 infinite solutions
4x + 12 = 4x + 12 infinite solutions
15x - 8 = 15x - 4 no solutions -8 ≠ -4
I solved the problems ahead of time if you need the work tell me.
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. Note that we have variables on both sides of the equation.
if i won 10 games out of 16, how many games would i need to paly to win 50
Answer:
19
Step-by-step explanation:
Rectangle ABCD has a length represented by the expression 2x-3, and a width represented by the expression 4x+5. Rectangle PQRS has a length represented by the expression x-1, and a width represented by the expression 3x+2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS
This question is Incomplete
Complete Question
Rectangle ABCD has a length represented by the expression 2x – 3, and a width represented by the expression 4x + 5. Rectangle PQRS has a length represented by the expression x – 1, and a width represented by the expression 3x + 2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS?
a) 2x + 1
b) 4x + 2
c) 4x + 6
d) 20x + 6
Answer:
b) 4x + 2
Step-by-step explanation:
The Formula for the Perimeter of a Rectangle = 2(L + W)
= 2L + 2W
Hence:
For rectangle ABCD
Length = 2x - 3
Width = 4x + 5
Hence, the Perimeter is :
P = 2L + 2W
P = 2(2x - 3) + 2(4x + 5)
P = 4x - 6 + 8x + 10
P = 4x + 8x -6 + 10
P = 12x + 4
For Rectangle PQRS
Length = x - 1
Width = 3x + 2
Hence, the Perimeter is :
P = 2L + 2W
P = 2(x - 1) + 2(3x + 2)
P = 2x - 2 + 6x + 4
P = 2x + 6x - 2 + 4
P = 8x + 2
The Expression that can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS is
Perimeter of Rectangle ABCD - Perimeter of Rectangle PQRS
(12x + 4) - (8x + 2)
12x + 4 - 8x - 2
12x - 8x +4 -2
4x + 2
Option b) 4x + 2 is the correct option.
If your UBER and your bill is 20$ they will ask if you want to leave a 4$ tip. what percent tip would that be?
4 out of 20 is 20% so they left a 20% percent tip
HELP MY GRADE IS HORRIBLE
Answer for y-2x^2-8x+ 10 is -10
Siguiendo la ley de los signos ¿qué signo obtenemos al multiplicar dos signos iguales?
•Suma?
•Menos?
•Positivo?
•Negativo?
Answer: Si se multiplica un número positivo por uno negativo, el resultado tiene signo negativo. Si se multiplican dos números con signos iguales, el resultado tiene signo positivo
Step-by-step explanation:
2) If 20 workers can build a house in 45 days, how many more workers are needed
to complete it in 30 days?
А
6
B
15
С
10
D
18
Answer:
B
Step-by-step explanation:
Ian left his house and drove to the store. He stopped and went inside. From there, he
drove in the same direction until he got to the bank. He stopped and went inside the
bank. Then he drove home. The graph below shows the number of blocks away from
home Ian is x minutes after he left his house, until he got back home.
Answer:
6 blocks
Step-by-step explanation:
Find the unit rate: $23.96 for 4 pounds
Answer:
5.99 dollars per pound
Step-by-step explanation:
Convert to a decimal by dividing the numerator by the denominator.
Just the last question thank you!!
Answer:
6 X 10^21
Step-by-step explanation:
The equipment elevator descends 4 feet per second. The elevator for the miners descends 17 feet per second. The equipment elevator descends. After 25 seconds, the elevator for the miners begin to descend. What is the position of each elevator relative to the surface after another 12 seconds? At that time. Which elevator is deeper?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Equipment elevator Descent = 4 fts per Second
Miners elevator descent = 17 ft/sec
Miner's elevator begins descent 25 seconds after equipment elevator :
Elevation after another 12 seconds :
Descent = (speed * time)
Equipment elevator = 4 * (25 + 12) = 148 ft descent
Miner's elevator = 17 * 12 = 204 ft descent
The Miner's elevator is deeper at 204 feets.
Please help!
I will mark brainliest!! ;)
Answer:ok
Step-by step explanation:
answer this please :(
11 is what percent of 41?
Answer: What do you mean?
Is this even correct question?
Answer:
4.51
Step-by-step explanation:
you have to divide
Help me pls I’ll give brainliest to whoever can answer and explain the best
Answer:
part c hope this helps. :)
Step-by-step explanation:
11/12
2 3/4 = 11/4
11/4 divided by 3
turn the divide to multiply and write 11/4 x 1/3
answer will be 11/12
Answer:
11/12
Step-by-step explanation:
Shelby and her two friends make 3 people.
2 3/4 pies are left over
They decide to share among themselves.[3]
Change 2 3/4 to an improper fraction:2*4+3=11/4
11/4 evenly divide with 3 friends
Change the division sign to multiplication by giving the reciprocal of the number to the right[3]
11/4*1/3=11/12
Please help! I'm in a hurry
Answer:
the answer is 62
Step-by-step explanation:
you take 180 and subtract 118
Answer:
The answer should be 62, but i'm not positive so correct me if i'm wrong!
Explanation:
What I did is i added 118 and 118 then subtracted 360 by the sum. After that I divided the result by two which gave me 62, and I am almost sure that is the answer, but like I said i'm not positive. :)
what is the answer to x/2+3<12 ?
Answer:
x<18
Step-by-step explanation:
5. Do this without using a calculator
Calculate 39 × 63 + 39 × 37
A. 3,510. B. 3,900. C. 4,290. D. 97,812
Answer:
3900
Step-by-step explanation:
Not really sure how to explain this one.
If someone could help me I would really appreciate it!
Factor by slide and divide!
Answer:
(3x-4)(2x+5)
Step-by-step explanation:
6x^2 + 7x + 24
= 6x^2 + (15-8)x + 24
= 6x^2 + 15x - 8x + 24
= 3x( 2x+5 ) - 4( 2x+5 )
= (3x-4)(2x+5)
What is the area of triangle below?
The equation y=1/9x relates proportional quantities x and y.
What is the value of x when y is 4?
Answer:
x=36 when y=4
Step-by-step explanation:
When y=4, you have to multiply 1/9x by 9 to make x whole and to truly figure out how much it is worth. So if 1/9x =4, you need to multiply 4x9
4x9=36
x=36
Describe how the value of the digit 2 changes in each place in the number 22.222.
Answer:
ones, ten, hundreds, thousands, ten thousand, ect.
on the right side of the decimal represents a part of a number Ex. .222 is equal to 222/1000 of a number.
At an opening of a new art gallery, the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. If the number of guests attending the opening was 56% more than expected, then how much was the final food cost?
$234.00
$357.00
$637.50
$994.50
Answer: $994.50
Step-by-step explanation:
From the question, we are informed that the owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. This means that the total cost to cater for the 150 people will be:
= 150 × $4.25
= $637.5
We are further told that the number of guests attending the opening was 56% more than expected, then the final food cost will be represented by:
= $637.5 + (56% × $637.5)
= $637.5 + (0.56 × $637.5)
= $637.5 + $357
= $994.50
It’s a written I just took the test
Um... is there a question?
Please help! I’ll give brainliest to anybody who answers correctly!
Hello, please help me with the following questions attached. It’s due at 11:59 pm and I really don’t know cause tbh I haven’t been paying attention in that class.
Answer: 3) 3/4 5) (0,1)
Step-by-step explanation:
For number 3 you go rise over run. From the point on the y-axis you rise 3 and then run 4 to the x-axis if that makes any sense
1. please start to pay attention
1. an undefined slope is vertical
2. 90-70/15-3 = 20/12 = 10/6 = 5/3
3. 3/4 (rise over run)
4. slope: -1/5 y-intercept: 12
5. 1
6. y = 1/2x +b
3 = 1/2(1) +b
3 = 1/2+b
subtract 1/2 from both sides
2 1/2 = b
y = 1/2x + 2 1/2
Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q. P
Answer:
train tracks
Step-by-step explanation:
They have simple rotations and movemental frequences