22 people
333 chocolate bars
to find:the amount of chocolate each person get.
solution:[tex] \frac{333}{22} [/tex]
[tex] = 15.1363636364[/tex]
[tex] = 15.14[/tex]
[tex] = \frac{15.14}{1} [/tex]
[tex] \frac{15.14}{1} \times \frac{100}{100} [/tex]
[tex] = \frac{1514}{100} [/tex]
[tex] \frac{1514 \div 2}{100 \div 2} [/tex]
[tex] = \frac{757}{50} [/tex]
[tex] = 15 \frac{7}{50} [/tex]
Answer:
[tex]15\frac{7}{50}[/tex]
Step-by-step explanation:
Given that:
22 people share 333 chocolate bars equally. Each chocolate bar is the same size.
To Find:
About how much chocolate does each person get?
Solve:
Since, it given us that 22 people share 333 chocolate bars equally and how much chocolate does each person gets. Therefore we have to divide the chocolate bars by the number of people.
[tex]22\overline{|\smallspace333}\:\:\:\:\:\:[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace5.13636\:\:\:\:\:\:\:\:\:\:\:\\ 22\overline{|\smallspace333.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace1\emptyspace1\emptyspace3\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace3\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\underline{\emptyspace2\emptyspace2}\\80\\\underline{\emptyspace6\emptyspace6}\\140\\\underline{\emptyspace13\emptyspace2}\\8[/tex]
Rounding to nearest tenth: 15.14
Now put 15.14 over 1
[tex]\frac{15.14}{1}[/tex]
Multiply both by 100
[tex]\frac{15.14}{1}\times\frac{100}{100}[/tex]
[tex]=\frac{1514}{100}[/tex]
[tex]=\frac{1514\div2}{100\div2}[/tex]
[tex]=\frac{757}{50}[/tex]
Turning into mixed number:
[tex]15\frac{7}{50}[/tex]
Thus, each person get about [tex]15\frac{7}{50}[/tex] chocolate
Kavinsky
Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below:
Which information is not provided in the histogram?
The total number of students who collected bottles
The number of students who collected 6 or more bottles
The number of students who collected exactly 4 bottles
The total number of students who collected 12 or more bottles
Answer:
c
Step-by-step explanation:
As, there is no as such information regarding to number of students who collected exactly 4 bottles in histogram.
What is the width of 200 feet and 27 feet
Answer:
Length: 7 11/27 ft.
Step-by-step explanation:
200/27 = 7 11/27
both triangles are isosceles triangles with two equal angles of 55 degree . all corresponding sides are congruent
true
false
Answer:
false
Step-by-step explanation:
there is not enough information in order to apply theorems such as:
SSS
SAS
AAS
among others
A football team loses 5 yards on each of 3 consecutive plays. What signed number represents the team's total loss of yards on the 3 plays?
Answer:
change below :)
Step-by-step explanation:
You would start out at in the middle of a number line (horizontal). After the first play, you would move to the left on the line 5 spots (to simulate 5 yards lost) and then make a dot to show your new position. You would do the same thing for the next two plays, moving 5 spots to the left each play and creating a new starting point each time. The total spots moved after the 3 plays is 15 spots to the left.
Which of these numbers is in the solution set of 9x = 63? A. 9 B. 7 C. 8 D. 6
Answer:
B: 7
Step-by-step explanation:
9x = 63
9/63 = 7
The number that is in the solution set of [tex]9x=63[/tex] is [tex]7[/tex]
Find the slope of the line
Answer:
m = 1.5
Step-by-step explanation:
Find two points
(-2,-1) and (0,2)
now use slope formula
[tex]\frac{y_{1} -y_{2} }{x_{1}-x_{2}}[/tex]
2-(-1)/0-(-2)
3/2 = 1.5
slope is 1.5
Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6
Answer:
inequality form: x [tex]\leq[/tex] -2 or x > 3
interval notation form: (-∞,-2] ∪ (3,∞)
Step-by-step explanation:
I attached a picture that shows all the work. You begin by isolating then solving for x on both sides. Then form a solution using the information found out about x. For example, you can combine the found inequalities for x to solve that x must be GREATER than 3 while being LESS than -2. Using that you can form an line and make a line. Remember, when writing in interval notation form you always begin from the left to the right (in reference) to the number line.
Sally bought 5.33 pounds of cheese at the deli. Dan bought 3.29 pounds of
cheese. How much more cheese did Sally buy than Dan? Do not include units
in your answer.
Answer:
2.04
Step-by-step explanation:
[tex]5.33-3.29=2.04[/tex]
Answer:
2.04
Step-by-step explanation:
5.33-3.29=2.045.33−3.29=2.04
Find the area of each triangle
Answer:
Step-by-step explanation:
There are 3 triangles in the picture: the one on the left, the one on the right, and the overall triangle. We must first find the areas of the two smaller triangles before finding the area of the whole thing.
To find the area of a triangle, you must multiply the two legs of the triangle by each other and then divide that number by 2. For the left triangle, this would be [tex](4*4)/2=8[/tex], meaning it has an area of 8 square meters. For the right triangle, this would be [tex](4*3)/2=6[/tex], meaning the triangle on the right has an area of 6 square meters.
There are multiple ways to find the area of the big triangle, since the hypotenuse of the left triangle has been rounded. One way to find the area of the big triangle,is to add the areas of the two smaller triangles: [tex]8+6=14[/tex] square meters. For a more exact answer, we would solve [tex](5.7*5)/2=14.25[/tex]sqaure meters using the legs of the big triangle.
Hope this helps! :)
(this is probability)
Answer:
Step-by-step explanation:
P(less than 6) = 2/5
There are 5 spaces total. Of these, only 2 spaces are less than 6, namely the pizza slices labeled "4" and "5".
That's how we get to 2/5
A triangle has sides with lengths of 15 meters, 36 meters, and 39 meters. Is it a right triangle?
15. Higher Order Thinking Nancy made a
table runner that has an area of 80 square
inches. The length and width of the table
runner are whole numbers. The length is
5 times greater than the width. What are
the dimensions of the table runner?
0
What are the dimensions of the table runner
The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
The area of the table runner = 80 square inches
Let's assume the length of the rectangle is L and the width is W
Then L = 5×W ...(1)
L×W = 80 ...(2)
Put the value of L in the equation (2)
5W(W) = 80
5W² = 80
W² = 16
W = ±4
Width cannot be negative.
W = 4 inches putting this value in the equation (1)
L = 5(4) = 20 inches
Thus, the length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.
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PLS HELP ME I HAVE NO IDEA WHAT THESE ARE. If you can find all the answers and give me the words you would be a life saver
Answer:
SO EVERYONE WOULD SHOUT LOOK AT THE S CAR GO
Step-by-step explanation:
The brackets just mean to multiplye.g. 3(2)(5) is the same as 3 × 2 × 5When you get the answer, find in in the boxes below and write the letter of that equationI will not go through each question separately because it would take too long, but will give you the wordsI need help with conversation rates. So it says
Approximately 30,300 citizens of a country died in an automobile accidents in 2015. Express this toll in deaths per day.
Answer:
144 deaths
Step-by-step explanation:
So, assuming it's not a leap year 30,300 must be divided by the number of days in the year to get the daily amount.
30,300/365 = 114.339....
since 3 is not greater than 5, the 144 does not round up but stays the same.
(Since you cannot have a fraction of a death)
114 is your answer
hope this helps :)
2.
A standard piece of paper is estimated to be 0. 00005 meter thick. If the thickness, in meters,
of a standard piece of paper is rewritten as 5 x 10*, what is the value of x?
Answer:
x = -5
Step-by-step explanation:
[tex]0.00005 = 5 \times {10}^{ - 5} \\ \\ \implies \: x = - 5[/tex]
The width of a golden rectangle is 15 feet. Find the perimeter of the rectangle to the nearest foot.
39 feet
64 feet
79 feet
72 feet
96 feet
Answer:
79 ft
Step-by-step explanation:
Golden rectangle side ratios 1 : (1+sqrt5 )/2
(approx 1: 1.618)
15 + 15 + 2*15*1.618 = ~79 ft
BUT perhaps the 15 is the 1.618 side
15/1.618 + 15/1.618 + 15 + 15 ~ 49 feet
. The fourth grade class is donating 100 clothing items to charity. 63 hundredths of the items are sweaters and 0.20 of the items are jeans. What part of the clothing items are neither sweaters nor jeans? Write the number as a fraction with a fraction with a denominator of 100.
Answer: 17/100
Step-by-step explanation:
63/100 is sweaters and 20/100 is jeans and when you add them together you get 83/100. 100/100-83/100=17/100
Find (x+4) (x²+x-2). Write your answer in standard form.
The product is
Answer:
x³ + 5x² + 2x - 8
Step-by-step explanation:
1) Distribute
(x + 4) (x² + x - 2)
x(x² + x - 2) + 4 ( x² + x - 2)
2) Distribute
x(x² + x - 2) + 4 (x² + x - 2)
x³ + x² - 2x + 4 (x² + x - 2)
3) Distribute
x³ + x² - 2x + 4 (x² + x - 2)
x³ + x² - 2x + 4x² + 4x - 8
4) Combine like terms
x³ + x² - 2x + 4x² + 4x - 8
x³ + 5x² - 2x + 4x - 8
5) Combine like terms
x³ + 5x² - 2x + 4x - 8
x³ + 5x² + 2x - 8
Joe is measuring the widths of doors he bought to install in an apartment complex. He
measured 72 doors and found a mean width of 36.1 inches with a standard deviation of
0.3 inches. To test if the doors differ significantly from the standard industry width of 36
inches, he computes a z-statistic.
-M
Z=
on
What is the value of Joe's z-test statistic?
Thank you
The value of z test statistics is 2.83.
What is z score?Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.
You can plot a z-score on a normal distribution curve. The range of Z-scores ranges from -3 standard deviations (which would be on the far left of the normal distribution curve) to +3 standard deviations (which would fall to the far right of the normal distribution curve). You must be aware of the mean and population standard deviation in order to use a z-score.
Given mean = x = 36.1 inches
standard deviation = σ = 0.3
sample size = n = 72
and μ = 36.1
here z = (x - μ)/(σ/[tex]n^{1/2}[/tex])
z = (36.1 - 36 )(0.3/[tex]72^{1/2}[/tex])
z = 0.1/0.0354
z = 2.8248
z = 2.83
Hence the value of z test is 2.83.
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Write 28 as a product of its prime factors.
Write the factors from smallest to biggest.
Answer:
2^2 × 7
hope this helps
Step-by-step explanation:
:))
You deposit $10,000 in a bank for college. The bank will give you 2.4% interest continuously. How much is in your account after 7 years? ( round to the nearest cent (2 decimal places) )
Answer:
$12089.26
Step-by-step explanation:
10,000
1.024 (100% of 10,000 + 2.4%)
1.024 * 10,000 = 10240 (1 year)
1.024 * 10240 = 10485.76 (2 years)
1.024 * 10737.42 = 10995.12 (3 years)
1.024 * 10995.12 = 11259 (4 years)
1.024 * 11259 = 11529.22 (5 years)
1.024 * 11529.22 = 11805.92 (6 years)
1.024 * 11805.92 = 12089.26 (7 years)
Given, in triangle abc, a = 32, b = 21 and angle between a and b is 40 degrees. Find the value of third side c. Options :
A 15
B 17.91
C 20.87
D 21.91
The law of cosine helps us to know the third side of a triangle. The value of third side c is 20.87.
What is the Law of Cosine?The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,
[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]
where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
Given, in ΔABC, a = 32, b = 21 and the angle between a and b is 40°, therefore, the value of ∠C=40°.
Now, the value of the third side of the triangle using the cosine law can be written,
[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}\\\\c=\sqrt{32^{2}+21^{2}-2(32 \times 21)\cdot \cos 40^o}\\\\c=\sqrt{1,024+441-1,029.5637}\\\\c=20.867 \approx 20.87[/tex]
Hence, the value of third side c is 20.87.
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Your dad invested $30 for you in 1946 in a fund and you have not withdrawn any money since. If the fund has averaged a return of 7% over the last 70 years, what is the current value of that investment?
Answer:
50,000 years 90 months 17 days and 82 mins ok ok cool.
Step-by-step explanation:
ExplanatiOn
For the first part of the obstacle course, Helena needs to sprint as fast as she can to Checkpoint A, which is 5 units north of her starting point.
Which mapping statement correctly describes how she gets from the starting point (0,0) to Checkpoint A?
(x,y)↦(x,y+5)
(x,y)↦(x+5,y)
(x,y)↦(x−5,y+5)
(x,y)↦(x+5,y+5)
Answer:
If the four number sentences at the bottom are the choices for your answer the correct one would be choice A or 1.
I hope this is what you meant if not I'll try to take my answer down and try to answer it again correctly!
The direction of the north is taken as positive on the x-axis that is (x + 5, y). Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
For the first part of the obstacle course.
Helena needs to sprint as fast as she can to Checkpoint A, which is 5 units north of her starting point.
Then the coordinate point will be
Let the direction of the north is taken as positive on the x-axis. Then we have
(x, y) → (x + 5, y)
Thus, the correct option is B.
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pls help i really need it
Answer:
D
Step-by-step explanation:
Since a fraction is a division problem, you can do every answer and compare them until you get them in order, which D is the most reliable.
Select the true equations from 2 lb =32 oz , 4oz = 64 lb , 3lb 4 oz = 52 oz , 0.5 lb = 12 oz , 3 T = 600 lb , 0.5 T = 1000 lb
Identify the type of function represented by f(x)= 3(1.5)*.
A. Quadratic
B. Exponential decay
C. Linear
D. Exponential growth
By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)
How to determine the nature of the function
In this question we must determine the kind of function according to its characteristics based on definitions of typical functions, which are represented below:
Quadratic
y = a · x² + b · x + c
This function is reduced into a linear function when a = 0.
Exponential
[tex]y = a \cdot b^{c\cdot t}[/tex]
Where:
c > 0 - Exponential growth.c < 0 - Exponential decay.By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)
Remark
The statement is poorly formatted. The correct statement is presented below:
Identify the type of function represented by f(x) = 3 · 1.5ˣ:
A. Quadratic
B. Exponential decay
C. Linear
D. Exponential growth
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Need help with this I’d really appreciate it
1. What type of insurance do you think you will first purchase (or have purchased)? Why?
Answer:
Car insurance
Step-by-step explanation:
Because most people will start driving at the age of 15 and have a license by the age of 16. In order to drive a car, you will need car insurance.
Hope this helps!
7+8+21+33+?=an average of 17
A mean is an arithmetic average of a set of observations. The value of the unknown number is 16.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Let the unknown number be represented by x.
As per the formula of averages, we can write,
Mean = (Sum of observations)/Number of observations
(7 + 8 + 21 + 33 + x)/5 = 17
(69 + x) / 5 = 17
Multiply both the sides of the equation by 5,
(69 + x)/5 × 5 = 17 × 5
69 + x = 85
Subtract 69 from both the sides of the equation,
69 + x - 69 = 85 - 69
x = 16
Hence, the value of the unknown number is 16.
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