a number card numbered from 1 to 30 is drawn randomly.what is the probability of getting the card having the number which is the multiple of 5 or 6
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Explanation:
A = multiples of 5 between 1 and 30
A = {5,10,15,20,25,30}
B = multiples of 6 between 1 and 30
B = {6,12,18,24,30}
There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}
The probability we want is 10/30 = 1/3
can you please answer this question asap
x-1/3-x+3/4=-1
The value of x is [tex]\mathbf{8\dfrac{1}{3}}[/tex]
The objective of this question is to evaluate and determine the value of x. The fraction given in the question consists of algebraic expressions and, we need to solve it through following process;
∴
[tex]\mathbf{\dfrac{x-1}{3-x} + \dfrac{3}{4}=-1 }[/tex]
Collect like terms
[tex]\mathbf{(\dfrac{x-1}{3-x})=-1 -\dfrac{3}{4}}}[/tex]
[tex]\mathbf{(\dfrac{x-1}{3-x})=-(\dfrac{7}{4}})}[/tex]
-4(x - 1) = -7(3 -x)
-4x + 4 = -21 + 7x
4x -7x = -21 - 4
-3x = - 25
[tex]\mathbf{x= \dfrac{25}{3}}[/tex]
[tex]\mathbf{x= 8\dfrac{1}{3}}[/tex]
Learn more about evaluating fractions here:
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what is the answer to (x-2)^5 ?
Answer:
x² - 4x + 4
Step-by-step explanation:
(x -2)(x - 2)
x² - 2x - 2x + 4 Expand using FOIL.
x² - 4x + 4 Simplify.
How does a plastic fork, whale, hospital and chocolate bar relate with each other?
Answer:
They all include the letter A
Step-by-step explanation:
When Johan calculates how much interest he must pay, he calculates as follows: SEK 0.045-620,000 = SEK 6,975/4
a) What is the interest rate? How are you thinking?
b) Why does Johan divide by 4?
Answer:
its b
Step-by-step explanation:
show your solution 5x + 12 =42
Answer:
6
Step-by-step explanation:
5x+12=42
subtract 12
5x=30
divide by 5
x=6
Answer:
x = 6Step-by-step explanation:
5x + 12 = 42=> 5x = 42 - 12=> 5x = 30=> x = 6Conclusion:
Therefore, the answer is 'x = 6'.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Angeline wants to buy eggnog at the store. It costs 4.76 for three cartoons. What is the unit rate for one carton?
Answer:
See image
Step-by-step explanation:
Simple way: The cost of three items is given. Divide by 3 to find the cost of one item.
Next level: write a proportion by comparing like quantities (compare things that are the same in the same order)
Cost/numbers of items = Cost/number of items
We know all but one piece of information:
4.76/3 = x/1
Solve for x to find the price of one carton.
Write one way you can read the time. Like 3:55
first is 3:56
And is three fivety six
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Answer:
62%
Step-by-step explanation:
120-46=74
74/120 don't use
simplify 37/60
to percent; 62%
a large bottle of juice contains 500 milliliters of juice. a medium bottle contains 70% as much juice as the large bottle. how many milliliters of juice are in the medium bottle.(can you include a number line? thanks!)
Answer:
350 millilitres
Step-by-step explanation:
70/100×500=350
A triangle has sides with lengths of 7 kilometers, 14 kilometers, and 19 kilometers. Is it a right triangle?
Answer: No
Explanation: According to me, if you use the pythagorean formula which includes the formula of a right triangle. If you hold 7 and 14then the resulted length should have been 15. And if you place different positions like that, then none of the length comes the same so we can conclude that none of the sides have a right angle. However there is a possibility to have a right angle in a scalene triangle but it is unlikely here or most probably no.
K
The solution is k
K/6+5=17
The solution is k=
k=72
Explanation:
72/6=12
12+5=17
Answer:
k = 72
Step-by-step explanation:
This is a 2-step linear equation. It is solved in the usual way.
Step 1: add the opposite of the constant that is on the side with the variable
k/6 +5 -5 = 17 -5
k/6 = 12
Step 2: multiply by the reciprocal of the coefficient of the variable.
(k/6)(6) = (12)(6)
k = 72
help, please!! please have a small explanation
Answer:
18
Step-by-step explanation:
63/7 = 9
Reduction factor is 9
2x9 = 18
x = 18
Hope that helps
Answer:
x = 18
Step-by-step explanation:
63 divided by 7 equals 9, so 7 is 9 times smaller, meaning 2 must be too
2 times 9 is 18
x=18
can someone help me with this problem!
__ + (4) = -1
whats the missing number
( I swear I'm smart lol)
⦁ Determine the zeros of f(x) = (x + 1)^2(x – 3)(x – 4). Indicate the multiplicity of any factors that occur more than once.
Answer:
see explanation
Step-by-step explanation:
To find the zeros equate f(x) to zero , that is
(x + 1)²(x - 3)(x - 4) = 0
Equate each factor to zero and solve for x
x- 4 = 0 ⇒ x = 4
x - 3 = 0 ⇒ x = 3
(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then
x = - 1 with multiplicity 2
Solve the inequality 1/6(y-1)>3
[tex]\frac{1}{6} .(y-1)>3=>y-1>3.6=18=>y>18+1=19\\[/tex]
[tex]\frac{1}{6(y-1)} >3=>\frac{1}{6(y-1)} -3>0=>\frac{1-18(y-1)}{6(y-1)} >0\\=> \left \{ {{1-18(y-1)>0} \atop {6(y-1)>0}} \right. /or/\left \{ {{1-18(y-1)<0} \atop {6(y-1)<0}} \right. \\=>\left \{ {{19-18y>0} \atop {y-1>0}} \right. /or/\left \{ {{19-18y<0} \atop {y-1<0}} \right.\\ =>\left \{ {{y<19/18 } \atop {y>1}} \right. /or/\left \{ {{y>19/18} \atop {y<1}} \right.=>\frac{19}{18} >y>1[/tex]
P/s: I don't know exactly the question so i answer in 2 ways =))
ok done. Thank to me :>
(4-13i)-(3+6i) how do you solve this I’ve been stuck
Answer:
1-19i
Step-by-step explanation:
This is my question pls help!!!
Answer:
[tex]20 {e}^{9} {f}^{11} [/tex]
Show Work:
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times {e}^{0} [/tex]
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times 1[/tex]
[tex]5 {e}^{3} {f}^{3} \times 4 {f}^{8} {e}^{6} [/tex]
[tex]20 {e}^{9} {f}^{11} [/tex]
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times \times {f}^{8} \times {e}^{6} \times {e}^{0} \\ = 5 \times 4 \times {e}^{3 + 6 + 0} \times {f}^{3 + 8} \\ = 20 {e}^{9} {f}^{11} [/tex]
Answer:
[tex]20 {e}^{9} {f}^{11} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
London is deciding between two different movie streaming sites to subscribe to. Plan A costs $9 per month plus $1.50 per movie watched. Plan B costs $38 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if London watches xx per month, and let BB represent the monthly cost of Plan B if London watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if London plans on watching 26 movies each month
Answer:
Plan A is $3 cheaper can Plan B.
Step-by-step explanation:
first equation: 1.5t+9
second equation: .50t+38
Then substiute the 26 for x. So you get 48 for Plan A and 51 for Plan B. Then subtract so you can get 3, for Plan A is three dollars cheaper than Plan B.
Help required. Struggling sm with flowcharts, shapes, etc., and I have a test on them tomorrow
The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.
The required proofs are stated below:
Statement Reason
1. <SPR ≅ <PRQ Alternate angle property
2. PT ≅ TR Definition of a mid-point
3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex] Perpendicular bisector property
4. ST ≅ TQ Mid-point of a segment
5. PQ ≅ SR Opposite side congruent property
6. ΔPQs ≅ ΔQRS Side-Angle-side (SAS) property
7. <PQR ≅ <SPQ Right angle property
8. PQ ≅ QR Congruent consecutive side property
Therefore given that PQ ≅ QR, then the given quadrilateral is a square.
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Which sentence elaborates Akhenaton’s changes to Egyptian religion?
Answer:
sentences 3,4, and 5 elaborate on the changes but since only 4 is a possible answer it must be sentence 4.
Answer: Akhenaton dedicated that only the sun god Aten would be worshiped in Egypt.
Step-by-step explanation:
In the equation 2x + 3y = 19, what is the constant?
Answer:
19
Step-by-step explanation:
The numerical value not being used as a multiplier of a variable is referred to as the constant. In this equation, the constant is 19.
_____
Additional comment
In different contexts, all of the numerical values, 2, 3, 19, can be referred to as both coefficients and constants. We can say that x has a constant coefficient of 2. We can say the coefficients in this equation are 2, 3, 19. Use the terminology defined in your curriculum materials.
A Taxi Service charges $1.00 for the first 1/10 mile then $0.10 for each additional 1/10 mile after that.
Fill in the table with the missing information then determine if this relationship between distance traveled and price of the trip is a proportional relationship.
distance traveled (mi) price(dollars)
9/10
2
3 1/10
10
Thnanks!
9 / 10 = Total Price: 1.90
2 = Total Price: 3.00
3 1 / 10 = Total Price: 4.10
10 = Total Price: 11.00
could someone explain this to me?
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Explanation:
Let's focus on the root x = 2i. Square both sides to get rid of the imaginary component and then get everything to one side.
x = 2i
x^2 = (2i)^2
x^2 = 4i^2
x^2 = -4
x^2+4 = 0
You should find that the root x = -2i leads to x^2+4 = 0 as well.
So the equation x^2+4 = 0 produces the complex roots x = 2i and x = -2i. This tells us that x^2+4 is a factor of the answer. The other factor is x-5 due to the real number root x = 5.
We'll multiply those two factors mentioned:
(x-5)(x^2+4)
w(x^2+4) ..... let w = x-5
wx^2 + 4w
x^2(w) + 4(w)
x^2(x-5) + 4(x-5) .... plug in w = x-5
x^3 - 5x^2 + 4x - 20
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The last step is to triple each term so that we go from the leading term of x^3 to 3x^3. This will give us a lead coefficient of 3.
So we go from this
x^3 - 5x^2 + 4x - 20
to this
3x^3 - 15x^2 + 12x - 60
after tripling everything. This expression has the same roots as the previous one. Scaling the function only stretches it vertically, but the roots aren't changed.
The cost was 1,784 . they also had to pay 7.25% sales tax. What was the total amount paid
Answer:
1913.34
Step-by-step explanation:
1784x0.0725=129.34
129.24+1784.00=1913.34
[tex]\sf 8x+12-8x+15+15x-22-x[/tex]
Let's get it done !
[tex]8x + 12 - 8x + 15 + 15x - 22 - x[/tex][tex]8x - 8x + 15x - x + 12+ 15 - 22[/tex][tex]14x + 5[/tex]Answered by : " Unknown "
please help asap!!! due tonight!!
Answer:
It might be -10:9 or 9: -10 Hope this helps :)
Helppp it’s geometry I just have no clue how to do this so if your good at geometry plz take a look
Answer:
≈ 98.7
Step-by-step explanation:
What you want to use is Pythagorean Theorem
96 squared + 23 squared = c squared
≈ 98.7
Eric leaves his house on his bike. He rides at a constant speed until he reaches a lemonade stand, where he parks his bike and takes a rest. Then he turns around and bikes home as fast as he can.
Answer: What's even the question? It's not asking anything to solve
Step-by-step explanation:
Simplify the difference. (7w2 – 7w – 8) – (5w2 + 2w – 3)
Answer:
2w2-5w-11 just subtract the second set of numbers from the first but it has to be like terms such as anything that is squared would only be applicable to another term with that is squared. a term is any group of number separated by a plus or a minus but it is not a term if it is separated by a multiplication symbol or a division symbol
Answer:
2w^2 - 9w - 5
Step-by-step explanation:
I got it right in Grandpoint.