Answer:
The number of servings of gelatin is 48
Step-by-step explanation:
step 1
Find out the number of molds
Divide the number of packages of gelatin (8) by 1 1/3 to obtain the number of molds
Remember that
[tex]1\frac{1}{3}=\frac{1*3+1}{3}=\frac{4}{3}[/tex]
so
[tex]\frac{8}{(4/3)}=\frac{24}{4}=6\ molds[/tex]
step 2
Find out the number of servings of gelatin
we know that
Each mold can be divided into 6 servings
To obtain the number of servings multiply the number of molds by 6
[tex]8(6)=48[/tex]
therefore
The number of servings of gelatin is 48
Kasey can make 36 servings of gelatin based on the number of packages she has and the amount required for each mould.
This question involves a bit of fraction work. Kasey has 8 packages of gelatin and each mold requires 1 1/3 packages of gelatin. As we need to figure out how many molds can be made, we divide the total number of packages by the amount needed for one mold. This equals 8 ÷ 1 1/3, which equals to 6 molds when converted into an improper fraction.
Subsequently, we understand that each mold can be divided into 6 servings. Therefore, Kasey could make a total of 6 molds x 6 servings which equals 36 servings of gelatin.
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The table below shows the salvage value for raw steel.
Tons of Steel Salvage Value
0 $0.00
2 $420.00
4 $840.00
6 $1,260.00
8 $1,680.00
10 $2,100.00
Based on the information in the table, what is the price per ton for raw steel? A. $220 B. $200 C. $210 D. $252
Answer:
$190
Step-by-step explanation:
The salvage value can be modeled by the function y = kx, where x is the number of tons of steel, y is the salvage value, and k is the price per ton.
Pick a point from the table, (2, 380), and evaluate the function y = kx at this point.
Therefore, the price per ton for raw steel is $190.
Final answer:
Based on the provided table, the price per ton for raw steel is calculated by dividing the salvage value by the tons of steel. The consistent result across the table is $210 per ton, making the correct answer C. $210.
Explanation:
To determine the price per ton for raw steel based on the table provided, we need to analyze the consistent increase in salvage value with respect to the tons of steel. Looking at the table:
For 2 tons of steel, the salvage value is $420.
For 4 tons of steel, the salvage value is $840.
For 6 tons of steel, the salvage value is $1,260.
For 8 tons of steel, the salvage value is $1,680.
For 10 tons of steel, the salvage value is $2,100.
To find the price per ton, we can divide the salvage value by the number of tons of steel. For example:
$$420 \div 2\text{ tons} = $210 \text{ per ton}$$
The price per ton remains consistent for every salvage value given, confirming that the price per ton of raw steel is $210.
Therefore, the correct answer is C. $210.
The parade had 127 floats. Thatis 34 fewer floats than last year. How many floats were in the parade last year?
Factor the expression x2-6x+9
The factored form of [tex]\(x^2 - 6x + 9\)[/tex] is [tex]\((x - 3)^2\)[/tex].
To factor the expression [tex]\(x^2 - 6x + 9\)[/tex], we'll use a technique called "completing the square."
Write the expression [tex]\(x^2 - 6x + 9\)[/tex].
Identify the perfect square trinomial. Since (9) is a perfect square and (2) times the square root of (9) equals (6), we can rewrite the expression as [tex]\((x - 3)^2\)[/tex].
Check the correctness of your result by expanding [tex]\((x - 3)^2\)[/tex] to ensure it equals [tex]\(x^2 - 6x + 9\)[/tex]. Expanding [tex]\((x - 3)^2\)[/tex] gives us [tex]\(x^2 - 6x + 9\)[/tex], which matches the original expression.
So, the factored form of [tex]\(x^2 - 6x + 9\)[/tex] is [tex]\((x - 3)^2\)[/tex].
My book is 58 pages. I have already read 13 pages. I plan to read 5 pages each day until I finish the book.
Which equation could I use to find how many days (d) it will take to finish reading the book?
A. (58+13)÷5=d
B. (58-5)÷13=d
C. (58-13)÷5=d
D. (58+13)×5=d
Rasheed needs to save 231$ To earn money he plans to wash cars and charge $12 per car. Write two estimates Rasheed could use to determine how many cars he needs to wash
Explain how to compare 0.7 and 5/8
A bear was climbing a tree. It took a few steps forward and then slipped a few steps backward. After taking 12 total steps of equal distance, it was back at its starting position. How many steps did the bear take in the forward and backward directions?
Answer: 6 steps forward and 6 steps backward
Hope this helped :D
What’s the answer to this question?
Anna made withdrawals from her bank account of $60, $85, and$ 115. Write and solve an addition problem that shows her withdrawals as negative integers.
You have -30 point in a video game. You earn 57 point. What is your final score?
solve for A
7a + 2 = 3a + 14
a = ??
There are 99 males and 121 females participating in a marathon what percent of the participants are females?
Answer: 55%
Work:
99 + 121 = 220
121 / 220 = 0.55 = 55%
An art teacher has 40 paint brushes.she divides them equally among her 4students. She finds8 more brushes and divides these equally among the students, as well. How many brushes does each student receive
Answer: The required number of brushes that each student receive is 12.
Step-by-step explanation: Given that an art teacher has 40 paint brushes.she divides them equally among her 4 students.
She finds 8 more brushes and divides these equally among the students, as well.
We are to find the number of brushes that each student receive.
The total number of brushes that divides among the 4 students is
[tex]n=40+8=48.[/tex]
Since there were 4 students, so the number of brushes that each student receive is
[tex]n_b=\dfrac{n}{4}\\\\\\\Rightarrow n_b=\dfrac{48}{4}\\\\\Rightarrow n_b=12.[/tex]
Thus, the required number of brushes that each student receive is 12.
Is also sort of math but how do you do celsius since I can't figure out how to do it since I'm American so I've never learned it in my school
to convert Fahrenheit to Celsius
subtract 32 then multiply by 5/9
example 80 degrees F would be (80-32=48, 48 *5/9 = 26.66) 27 degrees C
what is the multiplicative rate of change for the following coordinates (-1, .8) (0,2) (1,5) (2,12.5)
Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?
−2.1−(5.9+3.7)
(2.1+5.9)+(−3.7)
(2.1+5.9+3.7)
−(2.1−5.9)+(−3.7)
Option A is correct. The equivalent expression is −2.1−(5.9+3.7)
Given the expression −2.1+(−5.9)+(−3.7)
Before we can determine the equivalent expression, we need to first know that:
- × - = ++ × - = -+ × + =+The given expression then becomes;
−2.1+(−5.9)+(−3.7) = -2.1 - 5.9 - 3.7
Factoring out the negative sign from the last two terms;
-2.1 - 5.9 - 3.7 = -2.1 - (5.9 + 3.7)
Hence the equivalent expression is −2.1−(5.9+3.7)
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Graph the lines by finding the points of intersection with the axes (intercepts):
y=4x+8
Answer:
x − intersection is (__,__ ) .
y − intersection is (,__,__).
The x-intersection of y=4x+8 is at the point (-2,0) and the y-intersection is at the point (0,8).
Explanation:We want to find the points where the line y=4x+8 intersects the x and y-axis.
For the x-intersection, we set y=0.
So, 0=4x+8, which simplifies to x = -2. So, the x-intersection is at the point (-2,0).
For the y-intersection, we set x=0.
So, y=4*0+8, which gives y = 8. So, the y-intersection is at the point (0,8).
To find the x-intercept, set y=0 and solve for x:
0 = 4x + 8
x = -2
So, the x-intercept is (-2, 0).
To find the y-intercept, set x=0 and solve for y:
y = 4(0) + 8
y = 8
So, the y-intercept is (0, 8).
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14 less than 3 times a number is 5 more than half of the number
Which expression is equal to 0: A) -24/6 -4, B) -24/-6 +4, C) 24/6+4, D)-24/-6 -4?
Answer:
The answer is D.
Step-by-step explanation:
First divide:
-24/-6 is 4.
Now you have 4 - 4
subtract:
4-4 = 0.
Mr. Collins is constructing a fence around his property. He already has 25 sections up and plans to add 8 sections each Saturday until he is finished. Find the total number of fence sections standing after 15 Saturdays.
The total number of fence sections standing after 15 Saturdays will be 145.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Mr. Collins has 25 sections up.
And, He plans to add 8 sections each Saturday until he is finished.
Now,
By the given condition we formulate;
The total number of fence sections standing after 15 Saturdays is calculated as;
= 25 + 8 x 15
= 25 + 120
= 145
Thus, The total number of fence sections standing after 15 Saturdays will be 145.
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The width of a rectangle has been measured as 19.4mm correct to 1 decimal place.
What is the lower bound for the area of this rectangle?
The lower bound of the width of the rectangle is 19.35 mm. Without the length, we cannot determine the exact lower bound for the area of the rectangle. However, if we know the length, we can calculate it by multiplying the length by 19.35 mm.
Explanation:The lower bound of the width of the rectangle, measured to one decimal place, is slightly less than the measured value. Thus, the lower bound of the width would be 19.35 mm (since we are accurate to 1 decimal place). However, without information about the length of the rectangle, we cannot exactly determine the lower bound of the area of the rectangle.
But if we assume the length to be a certain value (let's say 'L'), the lower bound for the area (A) would be the product of this length and the lower bound of the width. So,
A = L*19.35 mm.
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Jessica purchase for the same type of scented candles Each of which are on sale for $2 off added the discount was applied the total cost for each candle is $19 what is the regular price of each candle
Final answer:
The regular price of each scented candle is $21, calculated by adding the $2 discount to the sale price of $19.
Explanation:
The regular price of each candle can be calculated by adding the discount back to the sale price.
If each candle costs $19 after a $2 discount, we just need to add the $2 discount to the sale price to find the regular price.
To calculate the regular price:
$19 (sale price) + $2 (discount) = $21 (regular price)
So, the regular price of each scented candle is $21 before the discount is applied.
how do I solve -15=-4m+5
The solution to the equation -15 = -4m + 5 is m = 5.
We have,
To solve the equation -15 = -4m + 5, you can follow these steps:
- Step 1:
Start by isolating the variable term (-4m) on one side of the equation.
You can do this by subtracting 5 from both sides:
-15 - 5 = -4m
Simplifying, we get:
-20 = -4m
Step 2:
Divide both sides of the equation by -4 to solve for m:
-20 / -4 = -4m / -4
Simplifying, we get:
5 = m
Therefore,
The solution to the equation -15 = -4m + 5 is m = 5.
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In which place should you write the first digit of the quotient 3381 divided 47 how can you determine that without using division
To identify where the first digit of the quotient will go when dividing 3381 by 47 without actual division, start from the leftmost digit of 3381. Since 47 is a two-digit number, take the first two digits from 3381. Since 47 can be subtracted from '33' zero times, move to the next digit, forming '338'. The first digit of the quotient will be in the hundreds place.
Explanation:To determine where to write the first digit of the quotient when dividing 3381 by 47 without actually performing the division, you can utilize an understanding of place values. Looking at the divisor, 47, it is a two-digit number. Hence, you need a two-digit number or greater from the dividend, 3381, to start the division.
Starting from the leftmost digit (the highest value place), we take the first two digits, which give us '33'. In this case, 47 can be subtracted from '33' only zero times. Therefore, move onto the next digit, forming '338', a 3-digit number. Now, 47 can be subtracted from '338', thus the first digit of the quotient will go in the hundreds place.
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The warehouse already has 27 pallets of stock waiting to be unloaded, and the delivery van arrives with another 8. The warehouse has room for 32 pallets, how many extra pallets will there be?
There are 3 extra pallets will be there.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example,Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have.
The warehouse already has 27 pallets of stock waiting to be unloaded, and the delivery van arrives with another 8.
So, total pallets
= 27 + 8
= 35
Now, the number of extra pallets
= 35- 32
= 3 pallets
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what answer i need fast
2/3 cup pineapple for every 1/3 cup OJ
there are three 1/3 cups in 1 cup
so multiply 2/3 by 3
2/3 * 3 = 6/3 = 2
2 cups of pineapple juice is needed
12.75 is 25% of what number
If it takes Leaping Louie 5 minutes to jump 3 blocks, how long will it take for him to jump 15 blocks?
Answer:
0.6 blocks/min
25 min
Step-by-step explanation:
3 blocks ÷ 5 min = 0.6 blocks/min
15 blocks ÷ 0.6 blocks/min = 25 min
Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and section B had 20 students who had a mean score of 90. Overall, what was the approximate mean score for all the students on the quiz?
A. 84.3
B. 85
C. none of these
D. cannot be determined
Final answer:
The approximate mean score for all the students on the quiz, calculated by weighing the means by the number of students in each section, is 85.71, which rounds to 86. Thus, the best answer choice (B) from those provided is 85.
Explanation:
To find the overall mean score for all the students on the quiz, we need to weigh the mean scores by the number of students in each section. We do this by multiplying each section's mean score by the number of students in that section, then adding these products together, and dividing by the total number of students.
For Section A: 15 students × mean score of 80 = 1200 total points.
For Section B: 20 students × mean score of 90 = 1800 total points.
The total points for both sections is 1200 + 1800 = 3000 points.
The total number of students is 15 + 20 = 35 students.
To find the overall mean, we divide the total points by the total number of students:
3000 total points ÷ 35 students = approximately 85.71.
Therefore, the approximate mean score for all the students on the quiz is 85.71, which, when rounded to a whole number, is 86. The closest answer choice given is B. 85, so that would be the best selection from the available options.
A = 9 over 2 (b + 35)