Answer:
0.6 kg x .4 kg /.75 = 0.32 kg
Five friends take a maths test
Adam, Brandon, Chen together together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks
What are their individual scores
Answer:
Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.
Step-by-step explanation:
Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be performed:
Adam + Brandon + Chen = 200
Damion + Erica = 150
Brandon + Chen + Damion = 215
Adam + Erica = 135
Chen + Damion + Erica = 224
Adam + Brandon = 126
Adam + Brandon = 126 + Chen = 200
Chen = 200 - 126
Chen = 74
Damion and Erica scored more than Chen
Chen + Damion + Erica = 224
74 + Damion + Erica = 224
Damion + Erica = 150
Damion = 75
Erica = 75
Brandon + Chen + Damion = 215
Brandon + 74 + 75 = 215
Brandon = 215 - 74 - 75
Brandon = 66
Adam = 350 - 75 - 75 - 74 - 66
Adam = 60
Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.
When
3(x)
= 4 is solved for x in terms of w and kits solution is which of the following?
In a basketball game, Ellen scores 20 more points than Kevin, and Kevin scores three times as many points as Bob. If 48 points were scored in total by these three players, how many points did Kevin score?
What is the volume of a sphere with a diameter of 32,5 m, rounded to the
nearest tenth of a cubic meter?
Answer:
V≈17974.16
Step-by-step explanation:
Using the formulas
V=4
3πr3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·32.53≈17974.16422
In this activity, you will analyze a data set and answer some questions about the data. Warren works as a salesman at a used-car dealership. He maintains a log to track the number of vehicles he sells each day. Warren is paid a commission for each car he sells. He needs to know how many cars he sold last month so he can calculate his commission. The table shows the data he has recorded in the log book for the month.
please help
Answer: the answer is 17..hope this helps yall :D
Step-by-step explanation:
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
Answer:
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.
So 292 - 240 = 52 read below or at eight grade level, and that [tex]n = 292, \pi = \frac{52}{292} = 0.178[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207[/tex]
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Which set of numbers could represent the lengths of the sides of a right triangle?
O 8, 9, 10
O 15, 18, 21
O 7, 24, 25
09. 11. 14
Answer:
7 24 25
because , according to Pythagorean triplet....
Which of the following pairs of triangles can be proven congruent through SSS?
A)
B)
C)
D)
Rectangle ABCD is shown on the grid. What is the area of rectangle ABCD in square units? 6 O 3V17 square units B (3, 3) O 6/17 square units O 17 square units O 34 square units 6-5-4-3-2-11 3 4 5 6 X -3 C (1.-5)
Answer: b is correct
Step-by-step explanation: i did this
The area of rectangle ABCD is 34 square unit.
What is Distance Formula?In a cartesian plane there are two coordinates as P(a, b) and Q(c, d) then the distance between these points are
PQ = √(c- a)² + (d- b)²
We have Coordinates of rectangle
A(-1, 4), B(3, 3), C(1, -5) and D(-3, -4)
Using Distance Formula
AB = √ (3-4)² + (3+1)²
AB = √1 + 16
AB = √17 unit
Now, CB = √(-5-3)² + (1-3)²
CB= √ 64 + 4
CB = √68
CB = 2√17 unit
So, the area of Rectangle ABCD is
= l w
= √17 x 2√17
= 2 x 17
= 34 square unit
Learn more about Distance Formula here:
https://brainly.com/question/25841655
#SPJ7
if sides of a triangle have lengths 8 ft and 12 ft.
Answer:
[tex]20 > c > 4[/tex]
Step-by-step explanation:
Given
[tex]Sides =8\ and\ 12[/tex]
Required
The third side
To do this, we make use of the triangle inequality theorem which implies that:
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
Where
[tex]a,b,c\to sides[/tex]
So, we have:
[tex]8 + 12 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]12 + c > 8[/tex]
Solve all inequalities
[tex]8 + 12 > c[/tex]
[tex]20 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]c > 4[/tex]
[tex]12 + c > 8[/tex]
[tex]c > -4[/tex]
Ignore negative inequalities.
So, we have:
[tex]20 > c[/tex] and [tex]c > 4[/tex]
Combine
[tex]20 > c > 4[/tex]
The above implies that the third length is between 5 and 19 (inclusive)
Find the midpoint M of CD
C = (-2,-10) D = (-6,0)
M = ([?],[ ]
Answer:
[tex] M = (-4, -5) [/tex]
Step-by-step explanation:
Given:
C = (-2, -10) and D = (-6, 0)
Required:
Midpoint M of segment CD.
Solution:
[tex] M = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Where,
[tex] (-2, -10) = (x_1, y_1) [/tex]
[tex] (-6, 0) = (x_2, y_2) [/tex]
Plug in the values into the equation
[tex] M = (\frac{-2 + (-6)}{2}, \frac{-10 + 0}{2}) [/tex]
[tex] M = (\frac{-8}{2}, \frac{-10}{2}) [/tex]
[tex] M = (-4, -5) [/tex]
How do you solve this problem ?
Answer: 2y124√y12
How to: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Have a great day and stay safe !
9514 1404 393
Answer:
[tex]2\cdot y^{\frac{5}{8}}[/tex]
Step-by-step explanation:
The applicable rules of exponents are ...
[tex](a^b)^c=a^{bc}\\\\(ab)^c=a^c\cdot b^c\\\\\sqrt[n]{x^m}=x^{\frac{m}{n}}[/tex]
__
So, the given expression can be rewritten to ...
[tex](4\sqrt[4]{y^5})^{\frac{1}{2}}=(4^{\frac{1}{2}})(y^{\frac{5}{4}})^{\frac{1}{2}}= 2\cdot y^{\frac{5}{4}\cdot\frac{1}{2}}=\boxed{2\cdot y^{\frac{5}{8}}}[/tex]
_____
k = 2; n = 5/8
4. Thirty students from the Netherlands set up a record of 1,500,000 dominoes. Of these, 1,138,101 were toppled by one push. Which is a more reasonable estimate for how many dominoes remained standing after that push: 350,000 or 400,000?
Answer:
361,899
hope this helps
Answer:
350,000
Step-by-step explanation:
1,500,000 - 1,138, 101 = 361,899
361,899 - 350,000 = 11,899
400,000 - 361,899 = 38,101
11,899 is less than 38,101
So, 350,000 is the answer.
Please help!
If the angles of a triangle are represented by 3x + 9, 4x-3, and 8x -6, then the triangle is: 1) acute, right, or obtuse (choose one) 2) Equalateral, scalene, or isosceles (choose one)
Step-by-step explanation:
3x+9+4x-3+8x-6=180
15x=180
x=12
angle 1= 3x+9=36+9=45°
angle 2=4x-3=48-3=45°
angle 3=8x-6=96-6=90°
1) it's right triangle
2) it's isosceles triangle
The Williams family purchased 15 cheeseburgers for 75$ how did one cheeseburger cost?
Answer:
O.5 cents each
Step-by-step explanation
You have to multiply 75 by 0.15
Can someone please help me with this question please (sorry for bad photo quality)
Answer:
a) (-1/2,3/2)
Step-by-step explanation:
-3x = x + 2
4x + 2 = 0
4x = -2
x = -1/2
y = -3(-1/2) = 3/2
The table describes the types of job openings available in a company.
What is the probability that experience is needed for a randomly selected job
opening, given that it is for part-time work?
Write the probability as a percent. Round to the nearest tenth if needed.
Part-time
Full-tme
6
2
Experience needed
No experience needed
8
9
Answer:
stop being lazy and do youre own work lol
Step-by-step explanation:
what is the y intercept of 2(x-2)^2+3
Answer:
y intercept is 11 or (0,11)
Step-by-step explanation:
[tex]y = 2 {(x - 2)}^{2} + 3 \\ y = 2 {(0 - 2)}^{2} + 3 \\ y = 2(4) + 3 \\ y = 8 + 3 \\ y = 11[/tex]
Pls help! I need to show my work!
Answer:
Step-by-step explanation:
68 frefq4gtrhrsahhrhshrr
Can I get help with this question
i need help pls!
this test is about angles, and i am having trouble with it.
Answer:
supplementary angle
Step-by-step explanation:
angles 6 and 8 are same side exterior angles
please help. no links. need answers for all questions :))
Answer:
1. The surface area of the cube is 324 square units
The volume of the cube 360 unit cube
2. The surface area of the cylinder is approximately 169.65 square units
The volume of the cylinder is approximately 169.65 unit cube
3. The surface area of a square pyramid is 360 square units
The volume of the square pyramid is 400 unit cube
4. The surface area of a cone is approximately 452.39 square units
The volume of the cone is approximately 50.27 unit cube
5. The surface area of the triangular prism is 240 square units
The volume of the triangular prism is 180 unit cube
6. The surface area of the sphere is approximately 804.25 square units
The volume of the sphere is approximately 2.144.66
7. The surface area of the composite figure is approximately 653.46 square units
The volume of the composite figure is approximately 1,474.45 unit cube
Step-by-step explanation:
1. The surface area of the figure, SA = 2 × (w·h + l·w + h·l)
Where;
w = The width of the figure = 6
l = The length of the figure = 12
h = The height of the figure = 5
We get;
SA = 2 × (6 × 5 + 12 × 6 + 5 × 12) = 324
The surface area of the figure, SA = 324
The volume of the figure, V = l × w × h
∴ V = 12 × 6 × 5 = 360
The volume of the figure, V = 360
2. The surface area of a cylinder, SA = 2·π·r² + 2·π·r·h
The radius of the given cylinder, r = 3
The height of the given cylinder, h = 6
∴ SA = 2×π×3² + 2×π×3×6 ≈ 169.65
The surface area of the cylinder, SA ≈ 169.65
The volume of a cylinder, V = π·r²·h
∴ V = π×3²×6 ≈ 169.65
The volume of the cylinder, V ≈ 169.65
3. The surface area of a square pyramid, SA = b² + 4·(1/2)·b·√((b/2)² + h²)
Therefore, for the given square pyramid, we have;
SA = 10² + 4×(1/2)×10×√((10/2)² + 12²) = 360
The surface area of a square pyramid, SA = 360
The volume of a square pyramid, V = (1/3) × Area of Base × Height
Therefore, or the given pyramid we have;
V = (1/3) × 10² × 12 = 400
The volume of the square pyramid, V = 400
4. The surface area of a cone, SA = π·r·(r + l)
Where;
The radius of the cone = r
The slant height of the cone, l = 10
The height of the cone, h = 6
∴ The radius of the cone, r = √(10² - 6²) = 8
∴ SA = π×8×(8 + 10) ≈ 452.39
The surface area of a cone, SA ≈ 452.39
The volume of the cone, V = (1/3) × π·r·h
∴ V = (1/3) × π × 8 × 6 ≈ 50.27
The volume of the cone, V ≈ 50.27
5. The surface area of the triangular prism, SA = 2 × (1/2)× b·h + b·w + h·w + w·l
Where;
b = The base length of the triangular surfaces = 5
h = The height of the triangular surfaces = 12
w = The width of the triangular prism = 6
l = The slant length of the prism = 13
Therefore;
SA = 2 × (1/2)× 5 × 12 + 5 × 6 + 12 × 6 + 6 × 13 = 240
The surface area of the triangular prism, SA = 240
The volume of a triangular prism, V = (1/2)·b·h·w
V = (1/2) × 5 × 12 × 6 = 180
The volume of the triangular prism, V = 180
6. The surface of a sphere, SA = 4·π·r²
Where;
r = The radius of the sphere = 8
∴ SA = 4 × π × 8² ≈ 804.25
The surface area of the sphere, SA ≈ 804.25
The volume of a sphere, V = (4/3)·π·r³
∴ V ≈ (4/3)×π×8³ ≈ 2,144.66
The volume of the given sphere, V ≈ 2.144.66
7. The figure is a composite figure made up of a cone and an hemispher
The surface area of the cone shaped part of the figure, SA = π·r·l
Where;
r = The radius of the cone = 8
l = The slant height of the cone = 10
∴ SA₁ = π × 8 × 10 ≈ 251.34
The surface area of the cone shaped part of the figure, SA₁ ≈ 251.34
The volume of the cone, V₁ = (1/3)·π·r²·h
Where;
h = The height of the cone = √(10² - 8²) = 6
∴ V₁ = (1/3) × π × 8² × 6 ≈ 402.12
The volume of the cone, V₁ ≈ 402.12
The surface area of the hemisphere, SA₂ = 2·π·r²
∴ SA₂ = 2 × π × 8² ≈ 402.12
The surface area of the hemisphere, SA₂ ≈ 402.12
The volume of a hemisphere, V₂ = (2/3)·π·r³
∴ V₂ = (2/3) × π × 8³ ≈ 1072.33
The volume of a hemisphere, V₂ ≈ 1,072.33
The surface area of the composite figure, SA = SA₁ + SA₂
∴ SA = 251.34 + 402.12 = 653.46
The surface area of the composite figure, SA ≈ 653.46
The volume of the composite figure, V = V₁ + V₂
∴ V = 402.12 + 1,072.33 = 1,474.45
The volume of the composite figure, V ≈ 1,474.45.
“Find two positive numbers such that the sum to 108, and the product of the first with the square of the second is maximum”
Answer:
36 and 72
Step-by-step explanation:
Which fraction is the largest
Answer:1/5
Step-by-step explanation:
Answer:
no.D 2/3 is the answer I hope this will help you
Help!!!!!!!!! Help help help help
The Sine Function
A sine curve is periodic. What does this mean?
a. the curve goes through one cycle and starts over
b. there is no pattern
c. the amplitude stays the same
d. one period equals 180 degrees
Please select the best answer from choices provided
Answer:
A. The curve goes through one cycle and starts over
Step-by-step explanation:
I calculated it logically
Rachel has just completed a study of precipitation in three different locations over the course of a year. The data she wishes to present in graph form is shown in the table below, with precipitation listed in inches. Boston Phoenix Minneapolis January 3.27 0.45 1.04 February 3.44 0.48 .76 March 3.10 0.71 1.12 April 3.89 0.31 2.10 May 3.75 0.17 3.15 June 3.12 0.09 5.11 July 2.98 0.11 5.78 August 3.07 0.33 4.65 September 3.15 0.52 3.61 October 3.55 0.40 3.22 November 3.42 0.42 2.34 December 3.44 0.29 1.84 Rachel wants her graph to emphasize the relation of each city’s precipitation to each other city’s at each point in time. What kind of graph would be appropriate? a. bar graph b. line graph c. pictograph d. histogram
Answer:
option 2 line graph
Step-by-step explanation:
100% on EDGE
Answer:
b
Step-by-step explanation:
Plz help me well mark brainliest if correct....???.
Answer:
C.18
Step-by-step explanation:
In the chart it shows that 18 boys like to read science fiction. Hope this helps :)
Using no other digits except 2 and 5 write down, if possible, a three-digit multiple of 3 but not of 6
Answer:
225
Step-by-step explanation:
225/3 = 75
225/6 = 37.5 (since this is not a whole number it's not a multiple of 6)
Final answer = 225
Hope this helps!
Please answer this question needed ASAP !
Answer: None of them. It should be 150 degrees.
See the explanation below for more details
==========================================================
Explanation:
To convert from radians to degrees, we multiply by the factor (180/pi)
The formula we can use is
y = (180/pi)*x
where x is the angle in radians, and y is the angle in degrees
Plug in x = (5/6)pi and evaluate
y = (180/pi)*x
y = (180/pi)*(5/6)*pi
y = (180/pi)*(5pi/6)
y = (180*5pi)/(pi*6)
y = (180*5)/(6)
y = (6*30*5)/(6)
y = (30*5)/(1)
y = 150
So the angle (5/6)pi radians, aka 5pi/6 radians, is equivalent to 150 degrees. Unfortunately this answer choice isn't listed. You'll have to let your teacher know there's a typo somewhere.