Let x be the number of pounds of candy that sells for $1.25 per lb that we need to mix, and let y be the number of pounds of candy that sells for $0.75 per lb. We can set up a system of equations to represent the problem:
x + y = 20 (we need a total of 20 pounds of candy in the mixture)
1.25x + 0.75y = 1.20(20) (the value of the mixture should be $1.20 per lb)
Simplifying the second equation, we get:
1.25x + 0.75y = 24
Multiplying the first equation by 0.75 and subtracting it from the second equation, we can eliminate y:
1.25x + 0.75y = 24
0.75x + 0.75y = 15
0.5x = 9
Dividing both sides by 0.5, we get:
x = 18
Therefore, we need 18 pounds of candy that sells for $1.25 per lb and 2 pounds of candy that sells for $0.75 per lb to make a 20-pound mixture that sells for $1.20 per lb.
Please help will give brainliest
Answer:
B) 28 inches.
Step-by-step explanation:
After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.
And we want to find the length of the shorter ribbon from the two remaining pieces.
We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:
\(\displaystyle \frac{1}{8}L=9\)
Where L represents the total length of the ribbon.
Solve for the total length:
\(\displaystyle L=72\text{ inches}\)
So, the original length of the ribbon was 72 inches.
Since we threw away 9 inches of it, we now only have 63 inches.
This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:
\((4x)+(5x)=63\)
Solve for x:
\(9x=63\Rightarrow x=7\)
Hence, the two remaining ribbons measure 28 inches and 35 inches.
Therefore, our answer is B.
A teacher surveys a sample of students from Lake Middle School. He asks the students where they’d like to go for a field trip. He records these results:
80 choose the aquarium.
60 choose the science center.
30 choose the planetarium.
40 choose the farm.
The teacher wants to figure out the relative frequency of a student choosing the aquarium. He will then estimate how many students out of all 1000 at the school are likely to choose the aquarium.
Answer the questions to solve the problem.
1. How many students did the teacher survey?
2. What is the relative frequency of a student choosing the aquarium? Give your answer as a decimal rounded to the nearest hundredth. Show your work.
3. Suppose the teacher surveys one student at random. Based on the survey results, what is the estimated probability that the student chooses the aquarium?
4) Write and solve a proportion that the teacher can use to estimate how many students in the whole school would choose the aquarium. Show your work.
I need one example of an interger with answers
Answer:
The numbers 1; 2; 3; 4 etc. are called the natural numbers. The natural numbers, 0 and the negative whole numbers together are called the integers. But to go from 45 from 20 you have to subtract 5
Use the best-fit line below to predict the value of y when x = 7
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
Find the perimeter of this shape.
Answer:
draw a line that makes a triangle and rectangle.
hypotenuse= 30
3k-4k-5k triangle
18-24-30
so the short part of triangle is 18 cm
10+10+18+24+30 equals 92
sorry for language I am not familiar with English
the perimeter of this shape is
24+10+10+30+\(\sqrt{30^{2} -24^{2} }\) = 92 cm
Can someone pls help me with this first right answer gets brainlist
help! i dont this math problem please due soon!
Answer:
12x12 12x6 H = 46cm
Step-by-step explanation:
took quiz
Answer:
46 cm
Step-by-step explanation:
I learned this formula in math last year
Bob will spend at most $31 on gifts. So far, he has spent $18. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Bob will spend.
Write your answer as an inequality solved for c.
solve it asap.........
Answer:
it is D
Step-by-step explanation:
i am not sure if this is right
Answer:
Option D, The center of the data is shown by it's median and mode. The median is 3 and the mode is 2 and 3
Step-by-step explanation:
The data set is: 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 6
Calculating the median would result in 3
Calculating the mode would result in 2 and 3
Hope this helps!
Part A Can you map shape I onto shape II by a sequence of transformations? If so, give a sequence of transformations that maps shape I onto shape II.
Part B
Complete the sequence of transformations you found in part A, but in a different order. Does this also map shape I onto shape II? What does this mean?
Question 2 Part A
If you reflect any shape across the x-axis and then rotate it 90° clockwise about the origin, do you get the same result as if you reflect it across the y-axis and then rotate it 90° counterclockwise about the origin? What does this mean?
Part B
If you reflect any shape across the x-axis and then rotate it 180° about the origin, do you get the same result that you would if you reflect it across the y-axis and then rotate it 180° about the origin? What does that mean?
Part C
If you reflect any shape across the x-axis and then across the y-axis, do you get the same result that you would if you rotated it 180° about the origin? What does that mean?
Part C is the answer
mark me brainliest pls
What is the value of (3.1)2 ?
A) 6.2
B) 9.61
C) 0.961
D) 9.1
Answer:
A
Step-by-step explanation:
(3.1)2 is the same thing as 3.1x2. So all you have to do is double 3.1 which is 6.2.
The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.
StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1
StartFraction a Over 2 h EndFraction minus b 2 equals b 1. – b2 = b1
StartFraction 2 a minus b 2 Over h EndFraction equals b. = b1
StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h
StartFraction a Over 2 left-parenthesis b 1 plus b 1 right-parenthesis EndFraction equals h.= h
Answer:
It is A and d
Step-by-step explanation:
The equivalent equations are \(2a = (b_1 + b_2) \times h\) and \(\frac{2a}{h} = b_1 + b_2\)
What are equivalent equations?Equivalent equations are equations that have equal values
The equation is given as:
\(a = \frac{1}{2} (b_1 + b_2) \times h\)
Multiply both sides by 2
\(2a = (b_1 + b_2) \times h\)
Divide both sides by h
\(\frac{2a}{h} = (b_1 + b_2)\)
Remove the bracket
\(\frac{2a}{h} = b_1 + b_2\)
Hence, the equivalent equations are \(2a = (b_1 + b_2) \times h\) and \(\frac{2a}{h} = b_1 + b_2\)
Read more about equivalent equations at:
https://brainly.com/question/2972832
PLEASE HELP IVE BEEN TAKING THIS MATH TEST FOR 5 HOURS
A 154-lb person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/hr. Write a function rule to represent the total calories burned over time by that person. Explain how the information in the problem relates to the function.
whats the answer for this question
You are drawing a map of your school and want to make sure all the measurements are accurate. You decide to use a scale of 1 cm = 3 feet. In your drawing, the main hallway ends up being 20 cm long.
The drawing is a little too big so you decide to change the scale to 1 cm = 4 feet.
Keeping the length in feet the same, how many centimeters long should the main hallway be in your new drawing?
Answer:
5
Step-by-step explanation:
ID.K if I am right, tell me
Hi my lovely people!
Today's question is math!
There are 2 screenshots below of my work!
(P.S its due today so yeah i will give brainlist too!)
Answer:
Part 1:
A - (4,9)
B - (6,3)
C - (1,3)
D - (8,7)
E - (8,9)
To know where to put the dots on the graph, use the coordinates you've just been given:
Example: (4,8)
Move to the 4 on the x-axis (the line on the bottom going horizontal)
Then, move up 8 units (up to the 8 on the y-axis)
Place the point at that spot.
Part 2:
A - (1,2)
B - (2,4)
C - (3,6)
D - (4,8)
Derek decorates 10 cookies in 5 minutes. We know he took 5 minutes to decorate 10 cookies because in the table, the x-axis is told to us that it represents the time it takes. Since the x coordinate is 5 in the point (5,10) and the y coordinate is 10, we can safely say that it took Derek 5 minutes to decorate 10 cookies.
Chromosomes line up at the metaphase plate, under tension from the mitotic spindle. The two sister chromatids of each chromosome are captured by microtubules from opposite spindle poles. In metaphase, the spindle has captured all the chromosomes and lined them up at the middle of the cell, ready to divide.
Answer:
In metaphase, the spindle has captured all the chromosomes and lined them up at the middle of the cell, ready to divide.
Step-by-step explanation:
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
In my town, gas prices are always listed to the thousandths place. Since the smallest coin we have is the penny, we have to round them to the hundredths place. If the price of gas is $9.475, what will the price be when we round it to the hundredths place?
Answer:
$9.48
Step-by-step explanation:
Find the area of the following parallelograms
Answer:
Area of parallelogram: 1/2×h×sum of base lengths
Property of parallelogram: 2 parallel sides
Area = 1/2×4×(9+9)
= 36 cm^2
what's the difference between a function and not a function
I hope it helps......:))
Solve the puzzle from the clues. Show your work.Clue
1: We are two whole numbers less than or equal to 12.
Clue 2: Our least common multiple is 36.
Clue 3: Our greatest common factor is 1.What two whole numbers are we?
Answer:
Step-by-step explanation:
From clue one we know the numbers can be these because they add up to 12.
0 and 12 0+12=12
1 and 11 1+11=12
2 and 10 2+10=12
3 and 9 3+9=12
4 and 8 4+8=12
5 and 7 5+7=12
or 6 and 6 6+6=12
From clue two, we know the least common multiple is 36 so:
LCM of 0 and 12 -> NOT 36
LCM of 1 and 11 -> 11
LCM of 2 and 10 -> 10
LCM of 3 and 9 -> 9
LCM of 4 and 8 -> 8
LCM of 5 and 7 -> 35
LCM of 6 and 6 -> 6
none have a least common multiple of 36.
Please show clue 3 and make sure clue 2 is correct before I can finish.
The number with GCF 1 can be (2 and 3), (3, 4) and (4, 9)
what is Least Common Multiple?The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.
Given:
1: We are two whole numbers less than or equal to 12.
Numbers are: 1, 2, 3, 4, 5,, 6, 7, 8, 9, 10, 11, 12
Clue 2: Our least common multiple is 36.
Number which have multiple 36 are: 2, 3, 4, 6, 9 , 12
Clue 3: Our greatest common factor is 1.
so, the number with GCF 1 can be (2 and 3), (3, 4) and (4, 9)
Learn more about LCM here:
https://brainly.com/question/20739723
#SPJ5
Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following table shows the number of seconds the machine was turned on and the amount of hot chocolate that filled up the cup.
PLEASE HELP ASAP!! WILL MARK BRAINLIEST!! Time (seconds) 4 8 12 16 20 24
Hot Chocolate Amount (fluid ounces) 5 7.5 9 11 13 16
Which representation is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time?
Answer: Option D is the correct answer.
Step-by-step explanation:
I took the practice exam and got it right.
Answer:
Option D is the correct answer.
Step-by-step explanation:
please help me i will give brainliest to first person to anwser.
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
Which table represents the statement “Di runs at a rate of 4 meters per second”?
A 2-column table with 3 rows. Column 1 is labeled seconds with entries 1, 2, 3. Column 2 is labeled meters with entries 4, 8, 12.
A 2-column table with 3 rows. Column 1 is labeled seconds with entries 1, 2, 3. Column 2 is labeled meters with entries 2, 4, 6.
A 2-column table with 3 rows. Column 1 is labeled seconds with entries 1, 2, 3. Column 2 is labeled meters with entries 8, 16, 32.
A 2-column table with 3 rows. Column 1 is labeled seconds with entries 1, 2, 3. Column 2 is labeled meters with entries 5, 10, 15.
Answer:
c
i am doing on edg
Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.
Can anyone help out with this?
Answer:
Step-by-step explanation:
What is this plot/table/graph? And how do I read it?
Step-by-step explanation:
A we measure across the x-axis. First so it is two and then we measure on the y-axis. Up three so
This data set shows the daily number of visitors who used the yoga center at the park. The numbers in blue show the numbers for weekends. Daily Number of Visitors 13 15 12 18 9 18 20 15 22 26 24 12 29 12 18 8 16 17 21 19 38 24 37 27 32 34 28 31 15 Select the correct answer. For how many days were the numbers of visitors recorded? A. 27 B. 28 C. 29 D. 30 E. 31