Answers
there must be at least 2 boxes of fudge containing nuts at the fudge shop on Monday morning.The scenario states that the total amount of fudge containing nuts on Monday afternoon is at least 29(5/8) pounds. So, we can write the inequality:x + 12(3/4) ≥ 29(5/8)
How to solve the question?
(a) Let's define "x" as the amount of fudge containing nuts that was at the fudge shop on Monday morning. Since three-fourths of the fudge contains nuts, we can say that:
x = (3/4)total fudge at the fudge shop on Monday morning
Then, Helena prepares an additional 12(3/4) pounds of fudge containing nuts. Therefore, the total amount of fudge containing nuts on Monday afternoon is:
x + 12(3/4)
The scenario states that the total amount of fudge containing nuts on Monday afternoon is at least 29(5/8) pounds. So, we can write the inequality:
x + 12(3/4) ≥ 29(5/8)
(b) Let's first convert the mixed number 12(3/4) into an improper fraction:
12(3/4) = (4*12 + 3)/4 = 51/4
Similarly, we can convert the mixed number 29(5/8) into an improper fraction:
29(5/8) = (8*29 + 5)/8 = 233/8
Now, we can substitute these values into the inequality we wrote in part (a):
x + 51/4 ≥ 233/8
To solve for x, we need to isolate it on one side of the inequality. Let's start by subtracting 51/4 from both sides:
x ≥ 233/8 - 51/4
x ≥ 10/8
Simplifying the right-hand side:
x ≥ 5/4
Therefore, the inequality that represents the scenario is:
(3/4)total fudge at the fudge shop on Monday morning + 12(3/4) ≥ 29(5/8)
And the solution to this inequality is:
x ≥ 5/4
(c) Since fudge is packaged into 1-pound boxes, the fewest number of boxes of fudge at the fudge shop on Monday morning is equal to the amount of fudge containing nuts on Monday morning, which is "x". From part (b), we know that:
x ≥ 5/4
The smallest whole number that is greater than or equal to 5/4 is 2. Therefore, there must be at least 2 boxes of fudge containing nuts at the fudge shop on Monday morning.
To know more about variable visit :-
https://brainly.com/question/28248724
#SPJ1
Related Questions
The area of triangle ABD is 50cm, and one of its sides is 10cm in length. Find one of the heights of the triangle.
Answers
Answer:
10cm
Step-by-step explanation:
If you want to find one of the heights of the triangle, you need to use some math magic. The magic spell is:
A = (1/2) * b * h
where A is the area, b is the base, and h is the height. Don't ask me why, it just works.
Now, we know that the area of triangle ABD is 50 cm and one of its sides is 10 cm. We can pretend that this side is the base of the triangle. Why? Because it makes our life easier. Trust me.
Then we put these numbers into the magic spell and we get:
50 = (1/2) * 10 * h
Now we need to solve for h, which is the height we want. To do that, we need to do some algebra. Don't worry, it's not that hard. Just follow these steps:
- Multiply both sides by 2. This gives us:
100 = 10 * h
- Divide both sides by 10. This gives us:
10 = h
- Celebrate! We found the height!
So, one of the heights of the triangle is 10 cm. Isn't math fun?
Area of triangle = 1/2 × base × height
We know the area of the triangle is 50 cm², and one of the sides (which is also the base) is 10 cm. Let's substitute these values in the formula and solve for the height:
50 = 1/2 × 10 × height
Multiplying both sides by 2, we get:
100 = 10 × height
Dividing both sides by 10, we get:
height = 10 cm
Therefore, the height of triangle ABD is 10 cm.
Please help! Question on image:
Answers
Answer: A. The location is on Main Street
Step-by-step explanation:
East and West are opposite and have the exact same length from right to left as it describes to X=0 so the 0 would be Main Street (^._.^)/
Is the relation a function? Complete the sentence.
Answers
Answer:
the inly way this could be a function is iif it is x times 0 plus 2
Answer:
yes
Step-by-step explanation:
You want to know if the relation shown is a function.
FunctionA set of ordered pairs (x, y) represents a function if there are no repeated x-values. Here, there are 4 unique x-values for the 4 ordered pairs (none are repeated), so this relation is a function.
__
Additional comment
Yes, it's that simple.
Look down the x-list. If you see any repeats, it is not a function. The same is true for ordered pairs (x, y). If there are any repeated first numbers, it is not a function.
A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image. What is the volume of this piece? What is the volume of the other piece?
HELP
Answers
The volume of the original rectangular prism is given by:
V1 = length x width x height
= 5 inches x 13 inches x 10 inches
= 650 cubic inches
To find the volume of the remaining piece, you need to determine its dimensions. If you have an image or a description of the piece, you can use that information to calculate its volume. Once you have the volume of the remaining piece, you can subtract it from the volume of the original rectangular prism to get the volume of the piece that was cut out.
To find the volume of the other piece, you can subtract the volume of the piece that was cut out from the volume of the original rectangular prism:
V2 = V1 - V_cut_out
where V_cut_out is the volume of the piece that was cut out.
A cardboard storage carton has a length of 3 feet, a width of 2 feet, and a volume of 12 ft³.whatis the minimum amount of cardboard needed to make the box? [hint: you're given volume, so find the missing height. then use your 3 dimensions to find the total surface area.]
Answers
Brainlist pls
Volume = Length x Width x Height
Substituting the given values, we get:
12 = 3 x 2 x Height
Solving for the height, we get:
Height = 12 ÷ (3 x 2) = 2 feet
Now, we can use the dimensions to find the total surface area of the box. The surface area of a rectangular box can be found using the formula:
Surface Area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the box, respectively.
Substituting the given values, we get:
Surface Area = 2(3 x 2) + 2(3 x 2) + 2(2 x 2) = 12 + 12 + 8 = 32 square feet
Therefore, the minimum amount of cardboard needed to make the box is 32 square feet
PLSSSS HELP IM FAILING THIS CLASS UR AN ANGEL IF U HELP ME
HUNDRED PTS
Shade all products in this multiplication table that appear most frequently. List the multiplication problems that create them. Why do they appear so much?
And also
List all the numbers between 1 and 50 that do not appear in this multiplication table. Why are they missing?
Answers
Answer:
Step-by-step explanation:
a. Shade all products in this multiplication table that appear most frequently - 6, 8, 12, 18, and 24. All numbers appear 4 times on the table.
b. 6=3x2=2x3=1x6=6x1
12=4x3=3x4=2x6=6x2
18=9x2=2x9=3x6=6x3
24=4x6=6x4=3x8=8x3
c. The numbers which appear 4 times have two distinct factorizations into single digit numbers (up to the order of the factors): for example, 24=4x6=3×8.
d. The numbers that do not appear in the multiplication table are 11, 13, 17, 19, 23, 29, 31, 37, 39, 41, 43, 47
e. The reason is that they are all prime numbers that are more than 9.
Here’s a box plot that summarizes the number of cupcakes eaten by contestants at a cupcake-eating contest. Find the interquartile range (IQR) of the data?
Answers
Answer:16
Step-by-step explanation:
First you find the Lower quartile, which in this case is 6. Then you find the Upper quartile ,which here is 22. You then subtract the two which gives you your Interquartile range (IQR).
please help and try to explain thanks
Answers
Answer:
sorry
Step-by-step explanation:
i don't know
I need help with asap!! Please answer the question in the image below
Answers
Answer:
width: 2 : 15volume: 8 : 3375surface area: 4 : 225Step-by-step explanation:
Given a model has a scale factor of 2:15 with respect to the original car, you want to know the ratios of model : original for width, volume, and surface area.
RatiosThe scale factor is the ratio of linear dimensions, such as width. This means the ratio of widths will be 2:15, the same as the scale factor.
Areas have units of the square of a linear dimension. Hence the ratio of areas is the square of the ratio of linear dimensions, the square of the scale factor. The ratio of surface areas will be 2²:15² = 4:225.
Volumes have units of the cube of a linear dimension. Hence the ratio of volumes is the cube of the ratio of linear dimensions, the cube of the scale factor. The ratio of volumes will be 2³:15³ = 8:3375.
The model : original ratios are ...
width: 2 : 15volume: 8 : 3375surface area: 4 : 225<95141404393>
Point B has coordinates (4,1). The x-coordinate of point A is -2. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
Answers
Answer: (-2, -7) or (-2, 9)
Step-by-step explanation:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
We know the coordinates of point B are (4, 1), and the x-coordinate of point A is -2. Let's assume the coordinates of point A are (x, y). Using the distance formula, we can write:
10 = sqrt((4 - (-2))^2 + (1 - y)^2)
Simplifying the equation, we get:
100 = (4 - (-2))^2 + (1 - y)^2
100 = 36 + (1 - y)^2
64 = (1 - y)^2
Taking the square root of both sides, we get:
8 = 1 - y or 8 = y - 1
Solving for y in each case, we get:
y = -7 or y = 9
Therefore, the POSSIBLE COORDINATES of POINT A: are (-2, -7) and (-2, 9).
I hope this helps!
Need help with transversals
Answers
Answer: Alternate exterior angles
Step-by-step explanation:
what does y=?????????????
Answers
Answer:
y is used as a variable.
Step-by-step explanation:
We use y to create an equation.
It doesn’t have a definite value.
Hope my answer helps you ✌️
Mark BRAINLIEST
Answer:
Y
usually it's used when your referring to equations that you graph, like using a variable with x
y is probably the first variable you'll come across
Y-AXIS
- a VERTICAL number line
VERTICAL DEFINITION (if you don't know what it means) - at right angles to a horizontal plane; in a direction, or having an alignment, such that the top is directly above the bottom.
Can someone help me asap I will make you the brainliest
Answers
Add all of them together, you get 40 then divide by 8 because there are heights listed then the mean height is 5
Answer is 5
Dascha is making a decorative table to sell at a fair. The cost of her materials is $80. If the table sells for $150, what is the percent of markup?
Answers
Answer:
Step-by-step explanation:
120
.80 x 150 = 120
Explanation
So to solve for the percent of markup you have to minus the price of the product your selling to the cost of the materials then divide by the cost of the materials and multiply by 100 then you get your answer
150-80=70
70/80=0.875
0.875 • 100 = 87.5%
Suppose you double each of the dimensions of a rectangular prism. how will the total surface area of the new rectangular prism compare to the total surface area of the original rectangular prism? explain how you decided upon your answer.
(hint: give yourself an example)
Answers
Answer:
Step-by-step explanation:
total surface area-(lh+wh+lw)
don't forget to put it in square units!
HOPE THIS HELPS!
Now if you were to double the dimensions, the new length would be 4, width would be 6, and the height would be 8. You would also do 2( W•L + H•L + H•W) which in this case is 2( 6•4 + 8•4 + 8•6) which is 208. Therefore, the surface area is 4 times greater.
I HOPE THIS ANSWERED YOUR QUESTION IM SO SORRY IF IT DIDN’T MAKE SENSE
suppose you double each of the dimensions of a rectangular prism. how will the total surface area of the new rectangular prism compare to the total surface area of the original rectangular prism? explain how you decided upon your answer.
(hint: give yourself an example)
Answers
Answer: Doubling the dimensions makes the surface area 4 times the original surface area.
pls help meeeee i dont know what to do
Answers
Answer:
24
Step-by-step explanation:
6 x 4 = 24
i cant explain how i got it but i did
for me i cant explain how in words but i have to show you
Answer:
Step-by-step explanation:
30 units squared
If you count the inside units it will become 30.
please answer quickk! Full understandable answer
Answers
Answer:
Step-by-step explanation: 17 spins and 3 are blue so 3/17 is the probability written as a fraction in it's simplest form
HELPPP PLEASE!! math
Answers
Answer: 4 years
Step-by-step explanation:
3.1% of 500 hundred is 15.50 and its takes about 4 years.
Pls help, am offering 100 points
Answers
3/16
2 1/4 = 36/16
Answer:
The answer is:
12 sheets per stack
3/16
2 1/4 = 36/16
Step-by-step explanation:
If you have any questions ask me please! :)
I really need help with this one.
Answers
Answer:
1/2x + 1/3
Step-by-step explanation:
1/4x + 3/4x - 1/2x + 1 - 2/3
= 1/4x + 3/4x - 2/4x + 3/3 - 2/3
= 2/4x + 1/3
= 1/2x + 1/3
to add or subtract fractions, you have to convert them so they all have the same least common denominator
The ratio relationship of water to cement in a concrete mixture is shown on the graph below.
Which of the following ratio tables corresponds to the ratio relationship demonstrated on the graph?
Cement
( x)
Water
( y)
0 0
2 1
3 3
10 4
Cement
( x)
Water
( y)
0 0
2 5
4 10
6 15
Cement
( x)
Water
( y)
0 0
3 1
6 2
9 3
Cement
( x)
Water
( y)
0 0
5 2
10 4
15 6
Answers
Answer:C
Step-by-step explanation:
Money is put into two accounts. Account A earns 3.5% interest annually, and account B ears 2.6% interest annually. Assuming $20,000 is split evenly among the accounts and interest is not compounded, how much interest would be earned in total after 6 years?
Answers
Answer:
The total interest earned in both accounts after 6 years would be $2,100 + $1,560 = $3,660.
Step-by-step explanation:
After 6 years, the total interest earned on account A would be:
Interest = Principal x Rate x Time
Interest = $10,000 x 0.035 x 6
Interest = $2,100
The total interest earned on account B would be:
Interest = Principal x Rate x Time
Interest = $10,000 x 0.026 x 6
Interest = $1,560
Therefore, the total interest earned in both accounts after 6 years would be $2,100 + $1,560 = $3,660.
Please answer. BRAINLIEST!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
h=m+12
Step-by-step explanation:
Answer:
H=M+12
Explanation: H is the dependent variable, M is the independent variable, and 12 is what we started off with.
A bag contains 3 marbles: a blue marble, an orange marble, and a white marble. A marble is chosen twice with replacement. Find the sample space.
Answers
Answer:
3
Step-by-step explanation:
The sample space for this experiment is:
{(blue, blue), (blue, orange), (blue, white), (orange, blue), (orange, orange), (orange, white), (white, blue), (white, orange), (white, white)}
Therefore, there are 9 possible outcomes in the sample space.
HELP!!! PLEASE
An element in Group 2 of the periodic table likely has which characteristics?
Question 2 options:
A.) shiny solid, conducts heat and electricity, easily bends
B.) shiny solid, does not conduct heat but does conduct electricity, crumbles easily
C.) dull solid, does not conduct heat or electricity, does not bond with other atoms
D.) gas, does not conduct heat or electricity, easily bonds with other atoms
Answers
Answer:is c
Step-by-step explanation:Group 2: The Alkaline Earth Metals – beryllium (Be), magnesium (Mg), calcium (Ca), strontium (Sr), barium (Ba), and radium (Ra) are shiny, slivery-white, somewhat reactive metals. Beryllium, strontium, and barium are rare, and radium is unstable and highly radioactive.
Fala has 1
dog and 3
cats.
The weights of her pets are shown in the table.
Which equation shows how to find the mean weight of the cat
Answers
please help, this is due tomorrow.
Answers
B
C
C
A
C Is the answer to your question
What is the mean of this data set? A set of data showing the lengths of pencils in inches. The data includes the following values: 2, 4, 5, 6, 3, 6, 3, 5, 2, 5, 4, 4. three and one over two 4 four and one over twelve 5
Answers
Answer:
4.0833333333333
Step-by-step explanation:
add it all up then divide it by how much number there is
2 + 4 + 5 + 6 + 3 + 6 + 3 + 5 + 2 + 5 + 4 + 4 = 49
There are 12 values in the data set, so we divide the sum by 12:
49 / 12 = 4 and 1/12
Therefore, the mean of the data set is 4 and 1/12 inches.
Issey's current location is the Lincoln Memorial. She uses her smartphone to look up walking directions to the Jefferson Memorial. She walks 1/2 mile every 1/8 hour. If the distance between the 2 memorials is 1 1/5 miles, it will take Issey how many minutes to walk from the Lincoln Memorial to the Jefferson Memorial.
a. 18 minutes
b. 24 minutes
c. 36 minutes
d. 72 minutes
Answers
To find out how long it will take Issey to walk from the Lincoln Memorial to the Jefferson Memorial, we need to divide the total distance by the distance she covers in one hour, and then convert the result to minutes.
First, let's convert Issey's walking speed to miles per hour:
1/2 mile every 1/8 hour = 4 miles per hour
Now we can calculate the time it will take Issey to walk the 1 1/5 miles:
Time = Distance ÷ Speed
Time = 1 1/5 miles ÷ 4 miles per hour
Time = 0.3 hours
Finally, let's convert this to minutes:
0.3 hours x 60 minutes per hour = 18 minutes
Therefore, it will take Issey 18 minutes to walk from the Lincoln Memorial to the Jefferson Memorial.
It will take Issey 288 minutes to walk from the Lincoln Memorial to the Jefferson Memorial.
Explanation:To find out how long it will take Issey to walk from the Lincoln Memorial to the Jefferson Memorial, we can divide the total distance by the walking speed. Issey walks 1/2 mile every 1/8 hour, which is equivalent to 4/8 miles per hour or 1/4 miles per hour. The distance between the two memorials is 1 1/5 miles, which is the same as 6/5 miles. To find the time it takes, we divide the distance by the speed: (6/5) / (1/4) = 24/5 = 4.8 hours. To convert this to minutes, we multiply by 60: 4.8 * 60 = 288 minutes.
Learn more about Walking Time here:https://brainly.com/question/32891875
#SPJ2