Step-by-step explanation:
x+y=0
x=-y
or, y=-x
3x-2y=10
Priya bought a football for £3.50.
She received £1.50 change.
How much money did she give the shop assistant?
£10.00
£4.00
£5.00
Which one £10.00, £4.00 or £5.00?
Answer:
$5.00
Step-by-step explanation:
$3.50+$1.50=$5.00
Làm giúp em câu 3+4 trắc nghiệm và bài 2+3 ạ
Which are corresponding pairs
Answer:
pandn
Step-by-step explanation:
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cosec^2θ-1/cosec^2θ=cos^2θ
cosec(2t)=1/sin(2t) ==> 1/(2×cos(t)×sin(t))
cos(2t)= 1-2sin²t
or 2cos²t-1
or cos²t - sin²t
after we knew this informations we have to write it in the question
1/2×sint×cost-1/1/2×sint×cost=cos2t
-2×sint×cost+1/2sint×cost/1/2sint×cost=cos2t
the 2sint×cost will gone
-2×sint×cost+1=cos2t
lets take cos2t =1-2sin²t
-2×sint×cost+1=1-2sin²t
-2sint×cost=-2sin²t
cost=sint
that means the t is equal to 45 because sin45 and cos45 equal to √2/2
hopefully i didn't waste your time by reading and not understanding my English is not that good sorry
Answer:
see explanation
Step-by-step explanation:
Using the identities
cosec x = [tex]\frac{1}{sinx}[/tex] , 1 - sin²θ = 1
Consider the left side
[tex]\frac{cosec^20-1}{cosec^20}[/tex]
= [tex]\frac{\frac{1}{sin^20}-\frac{sin^20}{sin^20} }{\frac{1}{sin^20} }[/tex]
= ( [tex]\frac{1}{sin^20}-\frac{sin^20}{sin^20}[/tex] ) × [tex]\frac{sin^20}{1}[/tex] ← distribute parenthesis by sin²θ
= 1 - sin²θ
= cos²θ
= right side, thus proven
Find a recursive rule for the nth term of the sequence.
-8, 3, 14, 25, ...
Answer:
Step-by-step explanation:
a1=-8
a2=3
D=11
n=-8+11(n-1)
(x-4)°=1
giải hộ em với ạ
Answer: 5
Step-by-step explanation:
⇒ (x - 4) = 1
⇒ x = 1 + 4
⇒ x = 5
Therefore value of x = 5
Answered by Gauthmath must click thanks and mark brainliest
What is the constant of proportionality y/x?
Answer:
0.5
Step-by-step explanation:
k = y/x
k = 0.5/1
k = 0.5
hi pls help. thank you sm:) have a good night/day!
Answer:
Step-by-step explanation:
a.)
[tex]14*2^x[/tex]
b.)
[tex]14*2^7=1792[/tex]
A bag contains five white balls and four black balls. Your goal is to draw two black balls. You draw two balls at random. What is the probability that they are both black
Answer:
0.1667 = 16.67% probability that they are both black.
Step-by-step explanation:
The balls are drawn without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
5 + 4 = 9 balls, which means that [tex]N = 9[/tex]
4 are black, which means that [tex]k = 4[/tex]
2 are chosen, which means that [tex]n = 2[/tex]
What is the probability that they are both black?
This is P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,9,2,4) = \frac{C_{4,2}*C_{5,0}}{C_{9,2}} = 0.1667[/tex]
0.1667 = 16.67% probability that they are both black.
Helpp mee please i need help i am stuck
Which statements are true? Check all that apply.
-2.5 = -2 1/2
-1.5 > -0.5
-0.5 < 0
-2.5 < -2
- 1/2 > 1.5
-3x(3x+5)(3x-4) help pls
Answer:
-3x(3x+5)(3x-4)
= -(9x²+15x)(3x-4)
= -27x³-9x²+60x
Answered by GAUTHMATH
Divide Rs.45000 among 2 students Mina and Rita in the ratio of marks they got 40 and 50 respectively
Let
Money share of Mina=40xMoney shae of Rita=50xATQ
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 40x+50x=45000[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 90x=45000[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow x=\dfrac{45000}{90}[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow x=500[/tex]
Now
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Rita=50x=50(500)=25000[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Mina=40x=40(500)=20000[/tex]
The Large square represents one whole.
3.74 - 1.53 = ?
Answer:
2.21
Step-by-step explanation:
Can someone help me out
Answer:
28.3
Step-by-step explanation:
A = [tex]\pi r^{2}[/tex]
Plug in:
A = [tex]\pi 3^{2}[/tex]
A = [tex]9 \pi[/tex]
A = 9 × 3.14 = 28.26 = 28.3
The answer is 28.3
Hope this helped.
What is the length of AC
Answer:
x=9 ⇒AC=24
Step-by-step explanation:
vì DE//B C⇒ΔABC Tương ung ti tỉ lệ vớiv ΔADE
⇒DB/AB=EC/AC
⇒AC=(EC.AB)/DB
⇒AC=24
a teacher bought sweets for her 40 students . if she gave each student 3 sweets , she would have 5 sweets left . How many sweets did she buy?
Answer:
125 sweets
Step-by-step explanation:
Let the total # of sweets the teacher bought be the variable, x.
We can set up this equation to find the # of sweets she bought:
40 · 3 + 5 = x
Because she gave 3 sweets each to her 40 students, we have to multiply these two numbers to get the # of sweets the teacher gave out.
120 + 5 = x
Then, since there's 5 extra sweets left, we can add it to the # of sweets the teacher gave out to get the total amount of sweets she bought.
125 = x
x = 125
125 sweets
Answer:
Total sweets = 125
Step-by-step explanation:
Number of sweets given to each student = 3
Number of sweets given to 40 students = 40*3 = 120
Number of sweets left with the teacher = 5
Total sweets = 120 + 5 = 125
Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation.
Answer:
2x-4(x+7)=2
Step-by-step explanation:
Peter's age:x.... twice age:2x
Phil's age:x+7...4times age:4(x+7)
Difference if ages is 2
Hence; 2x-4(x+7)=2
Answer:
Answer
4.9/5
38
loitzl9006
Ambitious
54 answers
6.5K people helped
Answer:
x=25
Step-by-step explanation:
we know that "x" is Peter's age
assume that "y" is Phil's age
In the sentence "Phil's age is 7 years more than 1/5 times than Peter's age" are two things: "Phil's age": y and "1/5 times Peter's age": 1/5 x
create equation with these two things
y = 1/5 x
including "7 years more"
many people make a lot of errors with it, they dont know: y+7 = 1/5 x or y=1/5 x + 7 ?
in order to avoid mistakes
read the sentence and point, which: y or 1/5 x is greater and smaller
"Phil's age is 7 years more than ..."
so y is greater, and 1/5 x smaller
y = 1/5 x
greater = smaller
we must add 7 to smaller number to make an equality
greater = smaller + 7
y = 1/5 x + 7
Second sentence:
"4 times Phil's age is 2 years less than twice Peter's age."
Two things: "4 times Phil's age": 4y and "twice Peter's age": 2x
4y = 2x
read the sentence once again
"4 times Phil's age is 2 years less than (...)" , so 4y - smaller, 2x - greater
4y = 2x
smaller = greater
including "2 years less" we add 2 to a smaller number
smaller + 2 = greater
4y + 2 = 2x
Substitute y=1/5 x + 7 to the equation 4y+2 = 2x
Step-by-step explanation:
plss help me with this :(
Answer:
(k) cos(θ)·√(1 + cot²θ) = √(cosec²θ - 1)
From trigonometric identities, we have;
1 + cot²θ = cosec²θ
On the Left Hand Side of the equation, we get;
cos(θ)·√(1 + cot²θ) = cos(θ) × cosec(θ) = cot(θ)
On the Right Hand Side of the equation, we have;
√(cosec²(θ) - 1) = √(1 + cot²(θ) - 1) = √(cot²(θ)) = cot(θ)
∴ √(cosec²θ - 1) = cot(θ)
By transitive property of equality, therefore;
cos(θ)·√(1 + cot²θ) = √(cosec²θ - 1)
(l) sin⁶A + cos⁶A = 1 - 3·sin²A·cos²A
sin⁶A + cos⁶A = (sin²A)³ + (cos²A)³
(sin²A)³ + (cos²A)³ = ((sin²A) + (cos²A))³ - 3·((sin²A)·(cos²A))·((sin²A) + (cos²A))
∴ (sin²A)³ + (cos²A)³ = (1)³ - 3·((sin²A)·(cos²A))·(1) = 1 - 3·((sin²A)·(cos²A))
sin⁶A + cos⁶A = (sin²A)³ + (cos²A)³ = 1 - 3·((sin²A)·(cos²A))
sin⁶A + cos⁶A = 1 - 3·((sin²A)·(cos²A))
(m) (sinA - cosecA)² + (cosA - secA)² = cot²A + tan²A - 1
(sinA - cosecA)² = sin²A - 2×sinA×cosecA + cosec²A = sin²A - 2 + cosec²A
(cosA - secA)² = cos²A - 2×cosA×secA + sec²A = cos²A - 2 + sec²A
∴ (sinA - cosecA)² + (cosA - secA)² = sin²A - 2 + cosec²A + cos²A - 2 + sec²A
Where;
sin²A - 2 + cosec²A + cos²A - 2 + sec²A = sin²A + cos²A - 2 - 2 + cosec²A + sec²A
sin²A + cos²A - 2 - 2 + cosec²A + sec²A = 1 - 4 + cosec²A + sec²A
1 - 4 + cosec²A + sec²A = cosec²A + sec²A - 3
Where;
cosec²A = cot²A + 1
sec²A = tan²A + 1
∴ cosec²A + sec²A - 3 = cot²A + 1 + tan²A + 1 - 3 = cot²A + tan²A - 1 = The Right Hand Side of the equation
∴ (sinA - cosecA)² + (cosA - secA)² = cot²A + tan²A - 1
(n) [tex]\sqrt{1 - 2\cdot siaA\cdot cosA}[/tex] = sinA - cosA
Squaring the Right Hand Side of the equation, we get;
(sinA - cosA)² = sin²A -2·sinA·cosA + cos²A = sin²A + cos²A -2·sinA·cosA
sin²A + cos²A -2·sinA·cosA = 1 - 2·sinA·cosA
∴ (sinA - cosA)² = 1 - 2·sinA·cosA
Taking the square root of both sides gives;
√((sinA - cosA)²) = [tex]\sqrt{1 - 2\cdot siaA\cdot cosA}[/tex]
∴ sinA - cosA = [tex]\sqrt{1 - 2\cdot siaA\cdot cosA}[/tex]
By symmetric property of equality, we have;
[tex]\sqrt{1 - 2\cdot siaA\cdot cosA}[/tex] = sinA - cosA
Step-by-step explanation:
A fruit stand has to decide what to charge for their produce. They decide to charge \$5.30$5.30dollar sign, 5, point, 30 for 111 apple and 111 orange. They also plan to charge \$14$14dollar sign, 14 for 222 apples and 222 oranges. We put this information into a system of linear equations. Can we find a unique price for an apple and an orange?
Answer:
a + b = 5.30
a + b = 7
No
Step-by-step explanation:
Expressing the information as system of linear equation :
Let apples = a, oranges = b
If $5.30 is charged for one apple and one orange, then we have ;
a + b = 5.30 - - - (1)
If $14 is charged for 2 apples and 2 oranges, then we have ;
2a + 2b = 14 - - - - (2)
a + b = 7
Since both equations gives varying combined cost for equal amount of the fruit, then a unique cost cannot be obtained for each fruit from the systems of equation using simultaneous equation process.
From (1)
a = 5.30 - b
Put a = 5.30 - b in (2)
2(5.30 - b) + 2b = 14
10.6 - 2b + 2b = 14
10.6 = 14 - - - - - (variables cancels out).
Answer:No the System has no solution
Step-by-step explanation:
What is the image of the point (5,-8) after a rotation of 180∘ counterclockwise about the origin?
(5,-8) after a 180 degree counterclockwise rotation about the origin is (-5,8)
Một lớp có 40 học sinh gồm học sinh giỏi, học sinh khá , và học sinh trung bình , số hs trung bình chiếm 1/4 cả lớp , số hs khá bằng 60% số học sinh còn lại a) tính số học sinh mỗi loại B) tổng số hs khá và giỏi chiếm bao nhiêu phần trăm trong lớp
Answer:
Đổi 60% = 3/5
a) Số học sinh trung bình là: 40 * 1/4 = 10 (hsinh)
Tổng số hsk và hsg là: 40 - 10 = 30 (hsinh)
Số học sinh khá bằng 60% số học sinh còn lại nên số hsk là:
30 * 60% = 18 (hsinh)
Số học sinh giỏi là: 30 - 18 = 12 (hsinh)
b) Tổng số hs khá và giỏi chiếm số phần trăm trong lớp là:
30 : 40 * 100 = 75%
which is greaterr 0.5 or 0.14
Answer:
To determine which number is greater, 0.5 or 0.14, you must determine which of the two has a higher ratio with respect to a whole number. Thus, since 0.5 is equal to 1/2 and 0.14 is equal to 7/50, 0.5 is the greater number.
What is the total surface area of a cuboid with length 16cm, width 8cm and height 6cm?
Answer:
Step-by-step explanation:
The dimensions as a pair, appear twice for each combination.
SA = 2* 16 * 8 + 2 * 16 * 6 + 2*8* 6
That's because when you look at the figure, there are 2 places each face is positioned.
SA = 256 + 192 + 96
SA = 544
q+(-7) when q=7 PLS HELP ME
Answer:
0
Step-by-step explanation:
Replace q with 7 .
[tex]7 + ( - 7) = 0[/tex]
[tex] \sf \: q + ( - 7) \\ \sf \: q = 7 \\ \\ \sf \: q + ( - 7) \\ \sf= 7 + ( - 7) \\ \sf= 7 - 7 \\ \sf= \boxed{\bf \: 0}[/tex]
Hope it helps.
RainbowSalt2222
Instructions: Given the following coordinates complete the glide reflection
transformation.
A(-9,-2)
B(-9,-5)
C(-5,-4)
Transformation: Reflection over the y-axis and a translation of shifting up 5 units
Answer:
A(9,3)
B(9,0)
C(5,1)
Step-by-step explanation:
I need help on this A box contains 3 red, 4 green, and 3 yellow balls. If a ball is drawn at random, find the probability that the ball is red.
Answer:
3/10
Step-by-step explanation:
3 red, 4 green, and 3 yellow balls = 10 balls
P(red) = number of red balls / total balls
= 3/10
Choose a scenario that could be represented by 5/8.
A.an eight-foot ribbon is cut into five equal pieces.
B.an eight-hour bus trip is divided into five equal parts.
C. Five friends share eight cookies equally.
D. five pounds of oats are divided equally among eight horses.
Answer:
D. Five pounds of oats are divided equally among eight horses.
Step-by-step explanation:
A scenario representing 5/8 has to involve a quantity of 5 being divided by 8.
The situation with the oats and horses represents 5/8, because the 5 pounds of oats are being equally divided among the 8 horses.
The other answer choices are incorrect because they are dividing 8 by 5 instead, which is 8/5 instead of 5/8.
So, the correct answer is D. Five pounds of oats are divided equally among eight horses.
anyone know number 11 please
Step-by-step explanation:
1. 22/60
2. LCM..of 3,9 is 9
So, 3+2/9 ( made the denominators equal)
5/9 Answer
Answer:
which of these fraction is not equivalent to 2/5 is 22/60
b) work out 1/2 + 2/9 = 5/9
Which functions have a removeable discontinuity? Check all that apply.
Answer:
It already shows the answers.
Step-by-step explanation:
I'm pretty sure you already submitted. The ones with check marks are correct and the ones with x marks are incorrect.
what is value of y if 2x+3y=4
Answer:
y=(4-2x)/3
Step-by-step explanation:
3y= 4-2x
y= (4-2x)/3
