Answer:
(32×15)/(17 -9)
Step-by-step explanation:
The term "quotient" refers to the result of division. The term "product" refers to the result of multiplication. The term "difference" refers to the result of subtraction.
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Here, we want the quotient of a product and a difference. This means the product will be divided by the difference. The product is the product of 32 and 15, so its value is (32×15). The difference is the difference of 17 and 9, so its value is (17 -9).
Then the desired numerical expression is ...
[tex]\boxed{\dfrac{32\times15}{17-9}}[/tex]
______
Additional comment
The result of evaluating this expression is ...
(32×15)/(17 -9) = 480/8 = 60
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For quotients and differences, the order of the operands matters. Our convention is that "the quotient of A and B" means "A/B", and "the difference of A and B" means "A-B".
In general English usage (not specific to a formal math problem), the term "difference" often is used to mean "the positive difference." That is, the wording "the difference between 3 and 4" would generally refer to the value 1 (not -1).
The Oriental Pearl Tower in Shanghai, China, is a 468-meter high tower with 11 spheres along the tower. Two spheres are larger than the rest and house meeting areas, an observation deck, and a revolving restaurant. The lower of the two larger spheres has a radius of 25 meters, and the higher sphere has a radius of 22.5 meters. What is the approximate total volume of the two largest spheres on the Oriental Pearl Tower?
The approximate total volume of the two largest spheres on the Oriental Pearl Tower 113105.45 m³.
How to find the volume of a sphereThe volume of the sphere is calculated as follows:
volume = 4 / 3 πr³
where
r = radiusThe lower two larger spheres in the tower has a radius of 25 meters and 22.5 meters. Therefore, the total volume of the two largest sphere is as follows:
volume of lower sphere = 4 / 3 × 3.14 × 25³
volume of lower sphere = 196250 / 3
volume of lower sphere = 65416.6666667
volume of lower sphere = 65416.7 m³
volume of higher sphere = 4 / 3 × 3.14 × 22.5³
volume of higher sphere = 143066.25 / 3
volume of higher sphere = 47688.75
volume of higher sphere = 47688.8 m³
The approximate total volume = 65416.7 + 47688.8 = 113105.45 m³
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Joe spins a spinner with a 1, 2, 3, and 4. He also flips a coin with heads and tails. what is the probability of Joe spinning a 1 and landing on heads?
Answer:
The probability of Joe spinning a 1 is a 1 out of 4 chance and the probability of him flipping heads is a 50/50 chance
Step-by-step explanation:
The spinner only has 4 numbers therefore getting any number out of those four would be a 1/4th probability. As for the coin, the coin only has 2 sides so there is a 50% chance it lands on heads or a 50% chance it lands on tails.
Pls help me 20 points
Step-by-step explanation:
a volume is created (calculated) by multiplying 3 dimensions (e.g. length, width and height).
am area is created by multiplying 2 dimensions (e.g. length and width).
but a scale factor applies only to any length in the model (but then separately for every dimension of the model).
so, when we multiply 2 dimensions, we have to multiply the scale factor with every dimension (2 times) in there too.
and for 3 dimensions 3 times.
so,
1.
the scale factor 1/100 or 0.01 says that every side of the model cube is 1/100 the side length of the real cube.
and so, while the volume of the real cube is
side × side × side = 3,401,244 ft³,
the volume of the model cube is
side × 1/100 × side × 1/100 × side × 1/100 =
= side × side × side × (1/100)³ =
= real volume × 1/1,000,000 =
= 3,401,244 / 1,000,000 = 3.401244 ft³
2.
the scale factor is 3/4.
that means that it applies to length as well as to width of the floor.
so, the area of the first floor is
length × width = 1,260 ft²
and the area of the second floor is then
length × 3/4 × width × 3/4 =
= length × width × (3/4)² =
= area first floor × 9/16 = 1,260 × 9/16 = 708.75 ft²
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Answer:
x = 148⁰
Step-by-step explanation:
180⁰-32⁰= 148⁰
so 32⁰ angle is parallell to c angle so that means x equals to 148⁰
p and x are parallels
On average five birds hit the Washington Monument and are killed each week. Joe, an
official, has requested that Congress allocate funds for equipment to scare birds away
from the monument. A congressional subcommittee has replied that funds cannot be
allocated unless the probability of more than three birds being killed in any week
exceeds 70%. Will funds be allocated?
Answer:
Yes
Step-by-step explanation:
An average of five birds hit the monument each week and in order to receive the funds, more than three birds have to be killed in a week
Give the numbers 12 and 4. Find out how much is the sum and difference of these numbers.
Answer:
The sum is 16 and the difference is 8 unless subtraction 12 from 4 and it would be -8.
Step-by-step explanation:
12 + 4 = 16
12- 4 = 8
4 - 12 = -8
Triangle ABC has vertices A (-4,4), B(0, 3), and C(1,-1). Find the vertices of triangle A'B'C' after a
reflection across the x-axis.
Reflection is flipping. The x axis is the horizontal line. If you flip a shape over the x axis, it will still stay in the same area for the horizontal points, it's the vertical points that will change, but only their signs will because a reflection isn't moving a shapes location completely. Think of it like Flipping the page of a book. If you drew a triangle on your book page and flipped the page, it would still be in the same area just the opposite side/direction. Just make the y axis (second number in brackets) points the opposite sign to solve
-4,-4 0,-3. 1,1
Barry has two cubes of different sizes. The first cube has a volume of 1 cubic unit. The second cube has sides one-third as long as the first cube does. What is the volume of the second cube?
Answer:
1/27 units cubed or 0.037037... units cubed
Step-by-step explanation:
Volume of a cube = s*s*s : Where s is a side length.
The volume of the first cube is 1 cubed, which means that each side length is 1. (s=1)
The volume of the second cube in relation to the first cube can be found by multiplying each side length by 1/3.
Volume of second cube= (1/3s)(1/3s)(1/3)s
Volume of second cube= (1/3)(1/3)(1/3)
Volume of second cube= 1/27
Eight striped ties and 6 polka dot ties are on a
rack in a dark closet. What is the probability
of drawing out one polka dot tie? Write your
answer as a decimal rounded to two decimal
places.
Answer: 6 out of 14 or 3 out of 7
Step-by-step explanation: just add up all the ties and put polka dot ties out of the total and
Question 2 of 10
Classify the following triangle. Check all that apply.
9
11.4
I A. Right
B. Obtuse
C. Isosceles
DD. Acute
O E. Scalene
OF Equilateral
SUBMIT
Hello, it seems your questions didn't upload correctly. Are you able to resend it?
Complete the table below.
ਪੁ = 22 y = 21
0
0
1
1
1
1
2
Answer:
20.1168
Step-by-step explanation:
Step-by-step explanation:
Match the angle measures with its equivalent.
Answer:
From top to bottom:
11π/12
-18 degrees
210 degrees
-5π/3
Step-by-step explanation:
Equation to change from radians to degrees:
(Radian number) x (180/π)
The trick is to remember that you want to cancel out the π when converting to degrees
Equation to change from Degrees to radians:
(degree number) x (π/180)
Bring in the π when converting to radians
So for the top one, you want to multiply 165 by π/180 to get
11π/12
Then the second one is -π/10 by 180/π to get
-18 degrees
and so forth
Answer:
Step-by-step explanation:
let be π=180 degrees.
165 degrees have to be 11π/12.
-π/10 will be -18 degrees.
7π/6 will be 210 degrees.
-300 degrees will be -5π/3
Which number is a common multiple of 2 and 3?
A) 8
B) 16
C) 28
D) 36
Answer:
D
Step-by-step explanation:
36 can be divided by both 2 & 3
Answer:
The answer is D.
Step-by-step explanation:
2x18=36
3x12=36
What is the center and radius of the circle?
(x-3)2 + y² = 4
Answer:
center = (3, 0)
radius = 2
Step-by-step explanation:
Standard equation of a circle: [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]
(where (h, k) is the center of the circle and r is the radius)
Given equation:
[tex]\sf (x-3)^2+y^2=4[/tex]
Rewrite in standard form:
[tex]\sf \implies (x-3)^2+(y-0)^2=2^2[/tex]
Therefore
center = (3, 0)radius = 2can someone please help me
Answer:
x = 49
Step-by-step explanation:
corner point b = 41
d = right angle ( 90 )
90 + 41 = 131
180- 131 = 49
x = 49
p.s
im not sure if d is a right angle if it is not please inform me.
what is the area of the parallelogram?
The area of a parallelogram is the product of:
--> length of the base and the height
length: 7ftheight: 5ftThus the area = 7 * 5 = 35 square feet
Hope that helps!
Need help with his geometry question. Find the value of x
[tex] \frac{12}{16} = \frac{x}{13} [/tex]
[tex]16x = 12 \times 13[/tex]
[tex]x = \frac{12 \times 13}{16} [/tex]
[tex]x = \frac{156}{16} = 9.75[/tex]
3
Andre sold 43 magazines at his mom's work, 32 at his dad's work, 18 around his
neighborhood, and 3 at home. What is the mean of the magazines he sold?
Answer:
The mean is 24 ( I think)
Step-by-step explanation:
SO in all, there were 96 magazines sold. So if there are just those 4 categories divide the 96 by 4. 96 divided by 4 = 24.
The mean of magazines he sold is 24
3⋅2t
a. Evaluate the expression when t is 1.
b. Evaluate the expression when t is 4.
pls hurry its due in 5 mins
Answer:
Step-by-step explanation:
a) substitute t = 1 in the expression
3 - 2t = 3- 2*1
= 3 - 2
= 1
b) substitute t = 4 in the expression
3 - 2t = 3 - 2*4
= 3 - 8
= (-5)
Find the scale factor and ratio of perimeters for a pair of similar octagons with areas 9 ft^2 and 16 ft ^2 .
Answer:
3/4 ratio
Step-by-step explanation:
This is the answer
x y what is the y intercept of this table, please explain.
1 8
2 6
3 4
4 2
Step-by-step explanation:
The y-intercept of the function is: b=10
Step-by-step explanation:
Given the table
x y
1 8
2 6
3 4
4 2
Taking any two points to find the slope
(1, 8)
(2, 6)
The slope between (1, 8) and (2, 6) is:
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept.
Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).
8 = -2(1) + b
8 = -2 + b
b = 8+2
b = 10
Thus, the y-intercept of the function is: b=10
What is x in "5x + (x+12)+(2x+4)"
Answer:
[tex]\rightarrow \boxed{\sf{8x+16}}[/tex]
Step-by-step explanation:
You have to isolate the term of x from one side of the equation.
Distributive property:
A(B+C)=AB+AC
5x+(x+12)+(2x+4)
5x+(x+12)+(2x+4)=5x+x+12+2x+4
5x+x+12+2x+4
Group and combined like terms.
5x+x+2x+12+4
Add the numbers from left to right.
12+4=16
Rewrite the problem down.
5x+x+2x+16
Then, you solve.
5x+x=6x
6x+2x=8x
8x+16
As a result, the final answer is 8x+16.
I hope this helps you! Let me know if my answer is wrong or not.
NO LINKS!!
Part 2: Figure A is a dilated image of Figure B. Find the scale factor. #3 and 4
Answer:
Step-by-step explanation:
Take one side length
B=16unitsA=12unitsScale factor (A to B)
[tex]\\ \rm\rightarrowtail \dfrac{16}{12)=\dfrac{4}{3}[/tex]
Scale factor (B to A)=1/4/3=3/4
#4
B=4unitsA=8unitsScale factor (A to B)
4/8=1/2Scale factor (B to A)
2Find the measure of ∠b.
Answer:
B. 38°
Step-by-step explanation:
The angles of a triangle add up to 180.
So, 62 + 80 + b will add up to 180.
First, we add 62 =80, which gives us 142.
The we subtract 142 from 180, which gives us 38.
How does finding a pattern for a rule change if you subtract instead of add?
Answer:
When you subtract, the numbers decrease however when you add the numbers increase.
Step-by-step explanation: Theres the answer but is it multiple choice? if so than you can give me the choices and ill tell you the answer. But i hope this helped and if u need anything u can ask!
Question 1 The diagram below shows the straight line joining points A and B. YA A(-1,6) 0 х B (3,-2) Find the equation of the line AB. Give the equation in its simplest form.
Answer:
y+2x=4
Step-by-step explanation:
use the formula of equation of line
The equation of line is y= 4 - 2x.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given co- ordinates:
A(-1,6) and B (3,-2)
slope = [tex](y_2 - y_1) / (x_2 - x_1)[/tex]
slope = ( -2 - 6)/ ( 3 -(-1))
slope = (-8) / (4)
slope = -2
Now, the equation of line
([tex]y-y_1) = m (x - x_1)[/tex]
(y- 6) = (-2)(x - (-1))
y-6 = (-2)(x + 1)
y-6 = -2x -2
y= 4 - 2x
Hence, the equation of line is y= 4 - 2x.
Learn more about slope here:
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the formula P=F/A,where P=pressure,F=force,andA=area,is used to caculate pressure.solve this formula for F
[tex]P= \dfrac FA \implies F = PA[/tex]
Add. Simplify the answer and write the answer as a mixed number if appropriate 3/8+2/3
10ft,10ft,4ft what is the area
Answer:
400 ft sq
Step-by-step explanation:
Area = Length x Width x Height
10 x 10 x 4
100 x 4
400
Have a great day!!
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show all working convert the following improper fractions to mixed numbers in it's lowest terms. 96/7?
Answer:
13 5/7
Step-by-step explanation:
7 can fit into 96 13 times, So 96-(7x13) is 5. 5/7 is remaining.