Answer:
491 red apples
Step-by-step explanation:
1/6 are apples
then 5/6 are oranges
red apples = green apples + 291
there are 3455 oranges
total amount of fruits is :
3455 / (5/6) = (3455 x 6)/5 = 4146
4146 - 3455 = 691 apples ( total )
so red + green = 691
and red - green = 291
add the two equations
red + red + green - green = 691 + 291
2red = 982
red = 982 / 2 = 491 red apples
green = 691 - 491 = 200 green apples
so red is 291 more than green
then red = 491
What is the volume of this object?
Answer:
19
Step-by-step explanation:
(Assuming that each cube is 1 unit), the volume is 5 + 6 + 8 which equals 19
[tex]\underline{\boxed{\blue{\Large{\bf{Challenge}}}}}[/tex]
If 'P and 'Q' are two points whose coordinates are (at^2, 2at) and (a/t^2, 2a/t) respectively and S is the point(0, 0). Show that 1/SP + 1/SQ is independent of 't'.
Note:-
Plagarised/spam/short answers will be deleted on the spot.
Answer with all steps and proper explanation .
Step-by-step explanation:
Given point are: P(at², 2at)
Q(a/t², 2a/t)
S(0, 0)
Now, the distance between A(x₁y₁) and B(X₂, y₂)
then AB = √{(x₂ - x₁)² + (y₂ - y₁)²} units
(i) The distance between S and P:
(x₁, y₁) = (0, 0) ⇛x₁= 0, y₁ = 0
(x₂, y₂ ) = (at², 2at) ⇛x₂ = at², y₂ = 2at
SP = √{at² - 0)² + (2at - 0)²}
= √{(at²)² + (2at)²}
= √{a²t²*² + 4a²t²}
= √{a²t⁴ + 4a²t²}
= √{a²t²(t²+4)}
SP = at√(t² + 4)→→→Eqn(1)
(ii) The distance between S and Q :
(x₁, y₁) = (0, 0) ⇛x₁= 0, y₁ = 0
(x₂, y₂ ) = (a/t², 2a/t) ⇛x₂ = a/t², y₂ = 2a/t
SQ = √[{(a/t²) - 0} + {(2a/t) - 0}
= √{(a/t²)² + (2a/t)²}
= √{(a²/t²*²) + (4a²/t²)}
= √{(a²/t⁴) + (4a²/t²)}
= √{(a² + 4a²t²)/t⁴}
= √[{a²(1 + 4t²)}/t⁴]
SQ = (a/t²)√(1 + 4t²) →→→ Eqn(2)
Now,
(1/SP) + (1/SQ) = [1/{at√(t² + 4)}] + [1/{(a/t²)√(1 + 4t²)}]
= (1/at)[1/{√(t² + 4)}] + (t²/a)[1/{(√1 + 4t²)}]
= (1/a)[[1/{t√(t² + 4)}] + [t²/{√(1 + 4t²)}]]
(1/SP) + (1/SQ) = 1/a is not independent of 't'
If suppose S = (a, 0) then
SP = √{(at² - a)² + (2at - 0)²}
= √{a²(t² - 1)² + (2at)²}
= a√{(t² - 1)² + 4t²}
= a√{(t² + 1)²}
SP = a(t² + 1)
1/SP = 1/{a(t² + 1)} →→→Eqn(1)
And
SQ = √[{(a/t²) - a}² + {(2a/t) - 0}²]
= √[a²{(1/t²) - 1}² + a²(2/t)²]
= a√[{(1 - t²)²/t⁴} + (4/t²)]
= a√[{(1 - t²)² + 4t²}/t⁴]
( a/t²)√(1 + t²)²
SQ = (a/t²)(1 + t²)
1/SQ = 1/{(a/t²)(1 + t²)} = t²/{a(1 + t²)} →→→Eqn(2)
Therefore, (1/SP) + (1/SQ)
= 1/{a(t² + 1)} + t²/{a(1 + t²)}
= (1 + t²)/a(1 + t²)
= 1/a
1/a is independent of 't'.
. Quinn is building a table. The top is an isosceles trapezoid, with bases that are 1.5 meters and 2 meters, and a height of Imeter. What is the area of the table top?
In the rectangular pyramid below, l=30, w=20, and h=28. What is the length of s?
Answer:
A=lw+l(w
2)2+h2+w(l
2)2+h2=30·20+30·(20
2)2+282+20·(30
2)2+282≈2127.25933
Your answer is 2127.259
I think it will help you
If "s" represents the slant height in the rectangular pyramid with dimensions l = 30, w = 20, and h = 28, then the length of "s" is approximately 29.75 units.
To find the length of "s" in the rectangular pyramid, we first need to understand the terminology used to describe the different dimensions of a pyramid.
In a rectangular pyramid, "l" usually represents the length of the base, "w" represents the width of the base, and "h" represents the height of the pyramid (the perpendicular distance from the base to the apex or top vertex of the pyramid).
However, there is no standard notation for the length of the slant height (s) in a rectangular pyramid. In this context, the term "s" could represent either the slant height or some other unknown dimension of the pyramid.
If "s" represents the slant height of the pyramid, we can use the Pythagorean theorem to find its value. The slant height, "s," is the hypotenuse of a right triangle formed by one of the triangular faces of the pyramid and the height and half the width of the base.
Using the given dimensions:
l = 30 (length of the base)
w = 20 (width of the base)
h = 28 (height of the pyramid)
Let's find the value of "s" using the Pythagorean theorem:
[tex]s^2 = h^2 + (w/2)^2\\s^2 = 28^2 + (20/2)^2\\s^2 = 28^2 + 10^2\\s^2 = 784 + 100\\s^2 = 884\\[/tex]
Now, take the square root of both sides to find the value of "s":
s ≈ √884
s ≈ 29.75 (rounded to two decimal places)
So, if "s" represents the slant height in the rectangular pyramid with dimensions l = 30, w = 20, and h = 28, then the length of "s" is approximately 29.75 units.
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5/8 5/4 common denominator
Answer:
The common denominator of 5/8 and 5/4 is 8.
4×2 is 8 and 5/8 already has a denominator of 8
The common denominator of two fractions 5/8 and 5/4 is 8.
What is Number system?A number system is defined as a system of writing to express numbers.
To find a common denominator for 5/8 and 5/4, we need to find the least common multiple (LCM) of the denominators 8 and 4.
The multiples of 8 are: 8, 16, 24, 32, 40, 48, ...
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, ...
We can see that the least common multiple of 8 and 4 is 8, since 8 is the smallest number that appears in both lists.
To convert 5/8 to an equivalent fraction with denominator 8, we can multiply both the numerator and the denominator by 1, which is equivalent to multiplying by 8/8
Hence, the common denominator of two fractions 5/8 and 5/4 is 8.
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High-efficiency particulate air (HEPA) filters are designed to remove which sized particles from the environment? 0.1 microns or smaller a) b) 0.3 microns or larger O c) 0.1 microns or larger d) 0.3 microns or smaller
Answer:
(b) 0.3 microns or larger
Step-by-step explanation:
A particle of size 0.3 microns is judged to be the most penetrating particle size. So, a rating for the filtering of those particles will be a worst-case rating. For particles of any other size, the filter will perform better than for 0.3 micron particles. HEPA filters are rated based on their performance with particles ...
0.3 microns or larger
A thief steals an atm card and must randomly guess the correct five-digit pin code from a 8-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first try?
Answer:
The probability of a correct guess on the first try is 0.024%.
Since a thief steals an atm card and must randomly guess the correct four -digit pin code from a 8 -key keypad, and repetition of digits is allowed, to determine what is the probability of a correct guess on the first try the following calculation must be performed:
8 x 8 x 8 x 8 = X
8 ^ 4 = X
4096 = X
1/4096 = X
0.000244140625 = X
0.000244140625 x 100 = 0.024%
Therefore, the probability of a correct guess on the first try is 0.024%
Step-by-step explanation:
Tom had a homework assignment to graph only the coordinates that would lie in Quadrant Ill of the coordinate grid. Which point below could have been one of the points that Tom graphed?
A (-3,-7)
B (-2,5)
C (1.6)
D (5, -13)
Question #31
The required point that could have been one of the points that Tom graphed is (-3,-7) lies in Quadrant III. The correct answer would be an option (A).
What is the quadrant?A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.
A point that could have been one of the points that Tom graphed is (-3,-7). This is because it lies in Quadrant III of the coordinate grid. In Quadrant III, the x-coordinate is negative and the y-coordinate is negative.
Point A has a negative x-coordinate and a negative y-coordinate, so it satisfies the requirement of being in Quadrant III.
Hence, the correct answer would be option (A).
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Heather planted 4 times as many tulips as Sarah planted. If Heather planted 64 tulips, how many tulips (s) did Sarah plant?
Step-by-step explanation:
let, the tulips be 'x'
According to the question,
heather=4x
& sarah=x
but heather planted 64 so,
4x=64
or, x=64/4
x=16
hence, sarah planted 16 tulips
Heather planted 4x Sarah's tulips. On the off chance that Heather has 64 tulips, Sarah has 16 tulips (64/4 = 16).
How to determine how many tulips (s) Sarah planted using algebraLet's utilize algebra to illuminate this issue. Let s speak to the number of tulips Sarah planted.
Concurring to the data given, Heather planted 4 times as numerous tulips as Sarah, so we will compose this as:
Heather's tulips = 4 * Sarah's tulips
64 = 4s
Presently, ready to fathom for s:
s = 64 / 4
s = 16
Sarah planted 16 tulips.
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Make x the subject of each formula.
Answer:
see explanation
Step-by-step explanation:
look at the photo
i need help please its due today
Given the equation, what is the center and radius of the circle?
(x-7) ^2 + (Y-4) ^2= 64 ^2
We are given the equation of circle (x - 7)² + (y - 3)² = 64² , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;
So, consider the equation of circle ;
[tex]{:\implies \quad \sf (x-7)^{2}+(y-4)^{2}=(64)^{2}}[/tex]
On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows
Centre = (7, 4)Radius = 64 unitsTom and Blair live the same
distance from their school.
Marcia lives 2 blocks from the
school, but 7 blocks from Blair.
She lives 1 block closer to the
school than she does to Tom.
They all live on the same street
as the school. How far apart do
Tom and Blair live?
Answer:
Step-by-step explanation:
We can think of this problem like a triangle that Tom, Blair, and Marcia live in.
This triangle is a right triangle.
the opposite is 3, the hypotenuse is 7, and the adjacent side is unknown.
Solving for the adjacent side will give us the distance that Tom and Blair live from each other
a^2 +b^2 = c^2
3^2 + b^2= 7^2
Now we solve for B
7^2 =49
3^3=9
9+b^2=49
Now we subtract
49-9=40
9+40=49
The square root of 40 is 6.3246
Now we check our work
3^2 +6.32^2=7^2
9+ 40 =49
The answer is, tom and Blair live approximately 6.3246 blocks from each other
Hope this helps!
-8 - (-2) = X
X = ?
WHAT IS X ?
The base of a triangle exceeds the height by 7 feet. If the area is 114 square feet, find the length of the base and the height of
the triangle
Answer:
Height of the triangle = 12 feet
Base of the triangle = 19 feet
Step-by-step explanation:
Let the height of the triangle be x feet
-> Base of the triangle = (x + 7) feet
[tex]A(\triangle)= 114\: ft^2[/tex]
[tex]\because A(\triangle)=\frac{1}{2}(base)(height) [/tex]
[tex]\implies 114=\frac{1}{2}(x+7)(x) [/tex]
[tex]\implies 114\times 2= x^2+7x[/tex]
[tex]\implies 228= x^2+7x[/tex]
[tex]\implies x^2+7x-228=0[/tex]
[tex]\implies x^2+19x-12x-228=0[/tex]
[tex]\implies x(x+19)-12(x+19)=0[/tex]
[tex]\implies (x+19)(x-12)=0[/tex]
[tex]\implies (x+19)=0,\:\:(x-12)=0[/tex]
[tex]\implies x =-19,\:\:x=12[/tex]
x represents the height of the triangle.
-> x can not take negative value.
[tex]\implies x\neq -19[/tex]
[tex]\implies x = 12[/tex]
[tex]\implies x +7= 12+7=19[/tex]
Thus,
Height of the triangle = 12 feet
Base of the triangle = 19 feet
Scott is 5 years old. His Aunt Mary
is 4 times as old. In how many
years will Scott be half as old as
his aunt will be at that time?
Right now, Scott is 5.
His Aunt Mary is 4*5 = 20
We can solve this algebraically if your teacher requires to.
In x years, Scott will be half as old as his Aunt right now (which is 20).
5+x= 20/2
5+x=10
x=5
In 5 years Scott will be half as old as his aunt was.
Joshua deposits $310 every month into an account earning an annual interest rate of 7.8% compounded monthly. How much would he have in the account after 6 years, to the nearest dollar? Use the following formula to determine your answer.
A game costs $1.00 to play. In the game, the player picks a card at random from a standard deck of cards. If the card is a face card, the player receives $7.00 if the card is not a face card, the player receives nothing.
What is the expected value for the player?
The expected value for the player by participating in the game of the deck of cards is $0.50.
What is the expected value?The expected value is the payoff that is expected less the cost of the game.
Expected value = total benefits of the game - cost
(fraction of face cards x payoff of picking a face card) + 0 - $1
(12/52 x 7) - $1 = $0.50
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Three and one fifth of 1 1/2 is what number?
Answer:
10 6/25
Step-by-step explanation:
"three and one fifth" symbolically is 3 1/5 or 3.2 or 16/5.
Then "three and one fifth" of 1 1/2 is:
3.2*3.2 = 10.24 or 10 24/100 or 10 6/25 or 256/25
If the volume of a cuboid is 120 cm' and it has a length of 10cm, a height of 4cm, the width of the cuboid is ?
cm,
Answer:
3cm
Step-by-step explanation:
V = L * W * H
V = 10 * W * 4
10 * 4 = 40
120 / 40 = 3
W = 3
I'd like for someone to help me on this Thank you <3
Answer: Range: 24, interquartile range: 8
Step-by-step explanation:
i really need help with this question i received a wrong answer i don't have as many points to spend this time if you want 50 points you can go to my previous question to answer there if you want
Answer:
Step-by-step explanation:
let the eq. be
y=a(x-2)(x-4)+b
x=0,y=-2
-2=a(0-2)(0-4)+b
-2=8a+b
when x=6,y=-2
-2=a(6-2)(6-4)+b
-2=8a+b
when x=8,y=-6
-6=a(8-2)(8-4)+b
-6=24a+b
16a=-4
a=-1/4
-2=-2+b
b=0
y=-1/4(x-2)(x-4)
y=-1/4(x^2-6x+8)
y=-1/4x^2+3/2x -2
when x=1
y=-1/4(1-2)(1-4)
y=-3/4
what is the definition of an average?
-------------------------------------------------------------------------------------------------------------
Answer:
Average: a calculated "central" value of a set of numbers
-------------------------------------------------------------------------------------------------------------
How to find it in the average:
Add all of the numbers given, then divide by the number of digits.
-------------------------------------------------------------------------------------------------------------
Example:
Question 1. ) Find the average of the digits.
10, 12, 7, 9, 14, 8, 5, 19
Step 1. Add all of the numbers - 70
Step 2. Count how many different numbers there are - 8
Step 3. Take your first answer and your second and divide them
Step 4. 70 ÷ 8 = 8.75 So 8.75 would be the average
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$5000 principal earning 4% compounded annually, 4 years
Answer: $7401.22
Step-by-step explanation: it’s right just trust me
I need help understanding number 11 and 12 please
Answer:
4
Step-by-step explanation:
Find the least common multiple of those two denominators, which would be 2 and 4.
Then do LCM of 2 and 4 and that should be 4.
P1 = (1,5). P2 = (x,2) .p1p2=5
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use distance formula :
[tex]\qquad \sf \dashrightarrow \: \sqrt{(x - 1) {}^{2} + (2 - 5) {}^{2} } = 5[/tex]
[tex]\qquad \sf \dashrightarrow \: {(x - 1) {}^{2} + ( - 3) {}^{2} } = 5 {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) {}^{2} + 9 = 25[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) {}^{2} = 16[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) = 16[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) = \pm4[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 5 \: \: or \: \: - 3[/tex]
What is the measure of m? n 20 m 5 m.
m = 5 V Give your answer in simplest form. Enter
Answer:
m = 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
To find the measure of m we use the following Euclidian theorem:
m^2 = 5*(5+20)
m^2 = 125 find the root for both sides
m = 5[tex]\sqrt{5}[/tex]
Please help me find the code for this puzzle l. I included all you will need.
Answer:
Code: AHAN
Step-by-step explanation:
Domain: 0 to 8.
Range: 0 to 18.
0 is A.
H is 8.
N is 18.
Which is the correct graph of y=2/x^2-4 ?
Area compound shapes
Step-by-step explanation:
the area is the sum of the top square of 9×9 and the bottom parallelogram.
we know the length of the parallelogram is still also the square side length : 9ft.
but we don't need to bother about the lengths of the inclined sides, as the area of a parallelogram is
baseline × height
and the height we can see on the right hand side, as the height of the total shape is 14ft. given that the square side length is 9ft, that leaves us with 14-9 = 5ft as the height of the parallelogram.
so, the area of the square is
9×9 = 81 ft²
the area of the parallelogram is
9×5 = 45 ft²
the total area is then
81 + 45 = 126 ft²