Answer:
Step-by-step explanation:
CONE:
height of cone = h = 12 cm
r =3.5 cm
[tex]Volume \ of \ cone =\dfrac{1}{3}\pi r^{2}h[/tex]
[tex]=\dfrac{1}{3}*\dfrac{22}{7}*3.5*3.5*12\\\\\\=22*0.5*3.5*4\\\\= 154 \ cm^{3}[/tex]
Cylinder:
h = 16 cm
r = 3.5 cm
[tex]Volume \ of \ cylinder = \pi r^{2}h\\[/tex]
[tex]= \dfrac{22}{7}*3.5*3.5*16\\\\\\= 22*0.5*3.5*16\\\\= 616 \ cm^{3}[/tex]
Total volume = 154 + 616
= 770 cm³
Find the volume of the composite shape. And round to the nearest tenth.
Answer:
2010
Step-by-step explanation:
volume of a cube= hxlxw
5x5x5=125
V=πr2h
π10^2x6=1884.9=1885
1885+125=2010
The Shah family basement floor is shaped like a tropezoidal. The basement has sides of 36 feet and 24 feet and two sides of 21 feet. They are going to carpet the basement. The carpeting will cost $35 per square yard. What is the area, in square feet, of the basement floor?
The area in square feet of the the basement floor that is trapezoidal is 603.6 feet square.
Area of a trapezium
area = 1 / 2 (a + b)h
where
a and b are the base of the trapeziumh = height of the trapezium.Therefore,
a = 24 ft
b = 36 ft
h² = 21² - 6²
h² = √405
h = 20.1246117975
h = 20.12 ft
Therefore,
area = 1 / 2 (24 + 36)20.12
area = 603.6 ft² = 67.066667 yard²
Therefore,
1 yard² = $35
67.1 yard² = ?
cost of carpeting = 35 × 67.1 = $2348.5
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Solve: 101x-99y=103
-99x+101y=-97
Answer:
[tex]x=2; y=1[/tex]
Step-by-step explanation:
Let's remember that if we replace one equation in a system with a linear combination of the equations (ie adding or subtracting them together, after multiplying them with some nice numbers) we are left with an equivalent system. So let's add and subtract them together, and use the new equations to work with.
[tex]I+II: 2x+2y=6\\I-II:200x-200y=200[/tex]
Better, now let's simplify the expression and let's use the new system
[tex]x+y=3\\x-y=1[/tex]
Done. At this point you can use whatever method you like to solve the system to get to the final solution. Adding and subtracting works great, and you get [tex]x=2, y=1[/tex] which, if you check by replacing in the original, is indeed a valid solution.
tickets originally worth p dollars were discounted by 28%. which expression represents the discounted price of the tickets?
Answer:
.72p
Step-by-step explanation:
1p equals the original price
100 percent of p
we are reducing it by 28 percent, which means only 72 percent of p will remain
72 percent or .72
.72p
At Garland School,
3/5 of the 490 students are boys.
At Bowood School, 5/7
of the 945 students are girls.
Which school has the greater number of girls and by how many?
You must show your working.
490 x 2/5 = 980/5 = 196 girls at Garland
945 x 5/7 = 4725/7 = 675 girls at Bowood
Bowood has more girls:
675-196 = 479 more
- Critique Reasoning Tanya recorded the ages
of 10 local babysitters: 20, 16, 18, 13, 14, 13,
12, 16, 22, 18. She says that the box plot below
shows the distribution of ages. What error did
she make?
Babysitters
HHHHHH
12
14
10
16
18
20
22
24
Age in Years
The error made by Tnaya in constructing the box plot is the first quartile and third quartile depicited is wrong.
What is a box plot?
A box plot is used to study the distribution and level of a set of data. The box plot consists of two lines known as whiskers and a box. The first whisker represents the minimum value and the last whisker represents the maximum value.
On the box, the first line to the left represents the first quartile. 25% of the score represents the lower quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the third quartile. 75% of the scores represents the third quartile.
For the data given, the:
Minimum value = 12 Maximum value = 22Median = 16 First quartile = 11/4 = 2.75 = 13 Third quartile = 3/4 x 11 = 8.25 = 23To learn more about median, please check: https://brainly.com/question/20434777
Mark rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 18.
Answer:
1/3
Step-by-step explanation:
Factors of 18 are 1,2,3,6,9
Find the area of the figure
Answer:
88 cm²
Step-by-step explanation:
88 cm² is your answer
Find the area of the trapezoid
CAN SOMEONE PLS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST
Answer:
C. 9 miles/gallon
Step-by-step explanation:
Answer:
Maybe 10? I'm sure though
Step-by-step explanation:
Re write the quadratic function in standard form y=(x+5)(x-2)
Answer:
y = x^2 + 3x - 10
Step-by-step explanation:
x*x + 5*x + -2*x + 5*-2
= x^2 + 3x + -10
PLEASE RATE!! I hope this helps!!
Roberto’s science grade is calculated using a weighted average quizzes are worth 25% homework is worth 10% unit tests are worth 30% and labs are worth 35%. Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit test, and 94% on his labs. What is Roberto’s final science grade?
93.3%
93.9%
94.8%
95.3%
Answer:
the answer should be 93.9% let know if in wrong
Roberto's science grade as per weighted average is equals to 93.9%.
What is average?
" Average is defined as the ratio of total of all the given data to the total number of quantities in the data."
Formula used
Weighted average'W' = ( ∑[tex]w_{i} x_{i}[/tex] ) / ( ∑[tex]w_{i}[/tex] ) , where i = 1, 2,.... n
W= weighted average
n = number of terms to be averaged
w = weight applied to x values
x = data values to be averaged
According to the question,
Given,
Weight applied to quiz 'w₁' = 25%
Weight applied to homework 'w₂' = 10%
Weight applied to to unit tests 'w₃'= 30%
Weight applied to labs 'w₄' = 35%
Average on quiz Roberto earned 'x₁'= 94%
Average on homework Roberto earned 'x₂'= 94%
Average on unit test Roberto earned 'x₃'= 94%
Average on labs Roberto earned 'x₄' = 94%
Substitute the values in the formula we get,
Weighted average
= [ (25 × 94) +(10× 99) + (30 × 92) +(35 ×94)] / ( 25+10+30+35)
= (2350 +990 + 2760 + 3290) / 100
= 9390 / 100
=93.9%
Hence, Roberto's science grade as per weighted average is equals to 93.9%.
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Determine where the given function is concave up and where it is concave down.
q(x) = 8x3 + 2x + 8
Answer:
concave up
Step-by-step explanation:
there is no negatives in the equation (in front of x-value)
Which statements are true of continuous data?
It is used in pictographs.
It is used in line graphs.
It can be any value within a range.
It can only have certain values.
Answer:
It is used in line graphs.
It can be any value within a range.
Step-by-step explanation:
Line graphs use :
Track numerical data over time within any value range therefore it is considered continuous data.
A line graph is a way to display data (information) that changes over time using a series of points joined with a straight line.
The line along the bottom is called the horizontal or (x-axis). Use this line to show time, days, weeks, months , or years.
The line up the side is called the vertical or (y-axis) is the value being measured, it starts at 0 and number it in even increments ; separated by twos, fives, tens, or hundreds.
Jeremiah has a mailing cylinder for posters that measures 12 inches long and 8 inches in diameter. What approximate volume can it hold? Use 3.14 for pi. Do not round. SHOW YOUR WORK.
Answer:
The cylinder can hold 508.68 in³
Explanation:
The volume of a cylinder can be calculated using the following rule:
Volume of cylinder = πr²h cubic units
where r is the radius of the cylinder and h is its height
Now, we are given that:
height of cylinder = 18 in
diameter of cylinder = 6 in which means that the radius of the cylinder is 3 in
π is 3.14
Substitute with the givens in the above equation to get the volume of the cylinder as follows:
Volume of cylinder = πr²h
Volume of cylinder = 3.14 * (3)² * 18
Volume of cylinder = 508.68 in³
WHEN THE WHOLE IS THE SAME, HOW MANY 8THS DOES IT TAKE TO EQUAL 1\4. DRAW A MODEL TO SHOW YOUR ANSWER.
Answer: 4
Step-by-step explanation:
4 times 2 is 8 if you make 4 eighths you will get 1/4 a
- Kristen bought a container of spice for
her chili recipe. If a batch of the recipe
calls for 1 of the container of spice,
how many batches of chili can Kristen
make from that container?
Help!!!!!
Answer:
1 container per batch so 1 batch is 1 comtsiner
For this question, you must solve for x.
Answer:
22
Step-by-step explanation:
3x = x+44(base angle of isosceles triangle are equal)
2x = 44
x = 22
As a waitress, Willow earns an average of 18% tips on all food sales. Last week she worked five days and sold an average of $381.00 in food each day. How much did Willow earn in tips last week? (4 points)
$68.58
$104.27
$342.90
$396.91
The Amount in tip was first computed which is $68.58 per day, in five days, Willow will earn $342.90 in tips
Percentage of NumbersGiven Data
Tip = 18%Amount earned each day = $381.00Let us find the amount of tip earned per day
Amount in tip = 18/100*381.00
Amount in tip = 0.18*381.00
Amount in tip = 68.58
Hence, for five days, her tip will be
= 68.58*5
= $342.90
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The results of a color spinner experiment are shown in the table. Consider the experimental probability of the spinner landing on green. If the experiment is repeated with 50 spins, what is the prediction for the number of spins that will land on green? Result Frequency Blue 7 Red 9 Green 6 Yellow 8
Answer: 10
Step-by-step explanation:
hope this helps
l need help with this pls
Answer:
50°
Step-by-step explanation:
In a parallelogram opposite angles have the same measure. Angle ABC has then the same measure of angle ADC, which is 38°+12°=50°
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Eli sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
314 visitors purchased no costume.
68 visitors purchased
exactly one costume.
17 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a fraction in simplest form.
Answer:
Submit Answer
attempt 2 out of
The probability that the next person will purchase exactly one costume is given by: 68/399
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
The total number of visitors to the website is 314 + 68 + 17 = 399.
Out of these 399 visitors, 68 purchased exactly one costume.
Therefore, the probability that the next person will purchase exactly one costume is given by:
68/399
This fraction cannot be simplified any further, so the final answer is:
68/399.
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A line passes through (-4, 7) and has a slope of 3/2
Write an equation in slope intercept form for this line
Answer:
please see the photo above
Find the mean of the data.
55,64,58,43,49,67
Answer:
56
Step-by-step explanation:
Step 1: Order the data
43,49,55,58,64,67
Step 2: Count all numbers and add them up
43+49+55+58+64+67=336 and we have 6 numbers in total so... 336 ÷ 6
Step 3: Divide!
336 ÷ 6 = 56
Hope this helps you!
A square is drawn below. What is value of x
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The opposite sides of a square are parallel, therefore the given angles are equal by ( Alternate interior Angle pair )
[tex]\qquad \sf \dashrightarrow \:4x + 5 = 2x + 25[/tex]
[tex]\qquad \sf \dashrightarrow \:4x - 2x = 25 - 5[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 20[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 10[/tex]
Hence, correct choice is B
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
For what values of x is x3+23x2+162x+360=0 a true statement?
Answer:
Step-by-step explanation:
x³+23x²+162x+360=0
x³+12x²+11x²+132x+30x+360=0
x²(x+12)+11x(x+12)+30(x+12)=0
(x+12)(x²+11x+30)=0
(x+12)[x²+6x+5x+30]=0
(x+12)[x(x+6)+5(x+6)]=0
(x+12)(x+6)(x+5)=0
x=-12,-6,-5
100 points! need done asap
An unfair spinner has sections labeled 1 2 or 3 that are all twice as large as each of the sections labeled 4 5 or 6 Develop a probability model to describe all possible outcomes of one spin of the spinner
Answer:
look at the pic and stay safe!! hope it helps
find x correct to 2 decimal places
Answer:
Step-by-step explanation:
The value of x in the triangle is 205.24 calculated by using tan function.
By using tan function we find the value of x.
Let us divide x to two parts which includes two right triangles.
We know than tan function is a ratio of opposite side and adjacent side.
tan 55 = 106/adj
adj= 106/1.428
adj=74.22
Now let us find the adjacent side length of larger triangle similarly.
tan 39 = 106/ adj
0.809 = 106/adj
adj=106/0.809
adj=131.025
So the value of x is 74.22+131.025
=205.245
Hence, the value of x in the triangle is 205.24.
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If 6/10 is multiplied by a fraction less than one what will be the product?
Answer:
If 6/10 is multiple by a fraction less then one the product would be 1/2
Step-by-step explanation:
6/10 is also equal to 0.6
If 0.6 is multipled by something less then one the product would not be able to be greater then 6/10
Resulting in 1/2 being the product.
Answer: All you gotta do is multiply 6x10 and then u get 60 so the product of of 6/10 is 60
Express 100,000 as a power of 10
Answer:
10^5
Step-by-step explanation:
10 multiplied by itself five times (10*10*10*10*10) is 100,000.