Answer:
12 trades
Step-by-step explanation:
Let's call 'x' the number of trades they will do.
After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.
To find the number of trades when they will have the same amount of cards, we have that:
20 + x = 44 - x
2x = 24
x = 12 trades
The number of trades will Ian and Jason each have an equal number of cards is 12 trades
The calculation is as follows;
Let's us assume the x' be the number of trades they will do.
20 + x = 44 - x
2x = 24
x = 12 trades
Learn more: brainly.com/question/16911495
What is the following product?
Answer & Step-by-step explanation:
(5√2 - 4√3)(5√2 - 4√3)
We can rewrite this equation into a more simpler form.
(5√2 - 4√3)²
Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.
When you multiply a radical by itself, then the base number will be by itself as the product.
So......
(5)² = 25
(4)² = 16
(√2)² = 2
(√3)² = 3
So, now the equation looks like this..
(25 * 2) + (16 * 3)
Multiply the terms.
50 + 48
Add the numbers.
50 + 48 = 98
So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.
Find the perimeter of this semi-circle with radius, r = 25cm. Give your answer as an expression in terms of π .
perimeter of circle
2πr
perimeter of semi circle
2πr ÷ 2
=2π(25) ÷ 2
= 50π ÷ 2
= 25π
Ans = 25π
A ∩ B = ∅. P(B) = .9 P(A ∪ B) = .9. Find P(A).
Answer:
Given: P(A ∩ B) = 0, P(B) = 0.9, P(A ∪ B) = 0.9.
We have: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
=> 0.9 = P(A) + 0.9 - 0
=> P(A) = 0.9 - 0.9 = 0
Hope this helps!
:)
Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!!
Answer:
So since the ball is at x=0 at the end.
We plug in it.
h(x) = 16 if you simplify it
6x^3-x^2 +17 = 2x^2 + 47
Answer:
Solve the rational equation by combining expressions and isolating the variable x
.
x≈1.89393154
Step-by-step explanation:
please mark brainly
which expression is equivalent to __
Answer
[tex]\sqrt[6]{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{2} = \sqrt[6]{8}[/tex]
[tex]\sqrt[3]{2} = \sqrt[6]{4}[/tex]
expand and simplify the equation
Answer:
7x+12
Step-by-step explanation:
5(3x+2) - 2(4x-1)
Distribute
15x + 10 -8x+2
Combine like terms
7x +12
A college's lacrosse team will play 22 games next spring. Each game can result in one of 2 outcomes: a win or a loss. Find the total
possible number of outcomes for the season record.
Answer: 44 possible outcomes
Step-by-step explanation:
Multiply the number of games by the number of outcomes to find how many possibilities.
22 games * 2 outcomes = 44 possibilities
Interpreting the situation, it is found that there are 23 possible outcomes for the season record.
For each game, there are two possible outcomes.
Hence, if the team plays 1 game, there are two possible outcomes, 0 wins or 1 win.If the team plays 2 games, there are three possible outcomes, 0 wins, 1 win or 2 wins.The same is valid for 3 games, the team can win 0, 1, 2 or 3 games.Hence, for n games, there are n+1 outcomes.In this problem, there are 22 games, hence 23 possible outcomes.
A similar problem is given at https://brainly.com/question/18599661
Using Ratios to Solve Problems - Item 1457 Question 4 of 7 Evan's family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 300 miles in 6 6 hours. The second day, they drove 250 250 miles in 5 5 hours. The third day, they arrived at the park after driving for 3 3 hours. How many miles did they drive on the third day?
Answer:
150 miles
distance travelled on the third day = 150 miles
Step-by-step explanation:
Note: it was given that they drove the same speed throughout the trip. That means their speed is constant for all days;
For the first day
distance = 300 miles
time = 6 hours
Speed = distance/time
Speed = 300/6 = 50 mph
on the third day;
time = 3 hours
Speed = speed on first day = 50 mph
distance = speed × time
distance = 50 mph × 3 hours
distance = 150 miles
distance travelled on the third day = 150 miles
Determine the exact value of sin 0
Answer:
36.87°
Step-by-step explanation:
[tex] \sin \theta = \frac{3}{5} \\ \\ \sin \theta = 0.6 \\ \\ \theta = {sin}^{ - 1} (0.6) \\ \\ \theta = 36.869897646 \degree \\ \\ \theta = 36.87 \degree[/tex]
help!!! ill mark brainliest!
Answer:
90
Step-by-step explanation:
My brother got that same question and he did it with his class
I WILL MARK YOU BRAINLIEST!!!!! HELP PLZZ!!!!
Answer:
The zeros of the function are the numbers when put in the function will make it equal to zero
let y = 0
2x² +5x +2 = 0
(x + 2)(2x + 1) = 0
x = 2 , x = -1/2
The answer is option c.
Step-by-step explanation:
x = 2,x = -1/2
=)))))))))
PLEASE HELP!!!!!! PLEASE
Answer:
C
Step-by-step explanation:
A<B<D do not make sense
Which exspression is equivalent to :
Answer:
C
Step-by-step explanation:
The smallest angle of rotational symmetry for a regular polygon is 30°. How many sides does the regular polygon have?
A line passes through (−1, 7) and (2, 10) what is the equation of the line?
Answer:
−x+y=8
there you go!
Hope it helps!
Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.
Complete Question:
Jenny is going to tile her kitchen floor of area 30 m^2. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.
Answer:
Extra amount needed by Jenny to buy the tiles = £8
Step-by-step explanation:
Floor area = 30.0 m^2
Area covered by a pack of tiles = 2.0 m^2
Number of packs needed = 30/2
Number of packs needed = 15
Price of a pack of tiles = £9.60
Discount = 25%
Jenny will pay 75% of the marked price
Amount Jenny will pay for a pack of tiles = 75% of 9.60 = 0.75*9.60
Amount Jenny will pay for a pack of tiles = £7.20
Amount Jenny will pay for 15 packs of tiles = 7.20 x 15
Amount Jenny will pay for 15 packs of tiles = £108
The amount of money Jenny currently has = £100
Extra amount needed by Jenny to buy the tiles = £108 - £100
Extra amount needed by Jenny to buy the tiles = £8
PLEASE HELP !!!!!! PLEASE
Answer: D. (I, II, and III)
Step-by-step explanation:
having a ticket doesn't necessarily mean you will win the lottery, but you must have a ticket to win
not all numbers divisible by 3 are divisible by 6, but all numbers divisible by 6 are also by 3 (since 3 goes into 6 twice)
if a quadrilateral is a square, it is also a rhombus
Answer:
It is D.
Step-by-step explanation:
If you win the lottery, then you will need a ticket. But, if you have a ticket, it doesn't mean that you'll win the lottery.
If a number is divisible by 3. it is not necessarily divisible by 6. For example, 9 ÷ 3 = 3, but 9 ÷ 6 will not equal a whole number.
All squares are rhombuses, but not all rhombuses are squares (they need to have all interior right angles).
If (x - 1)/x = 20, then x =
O a. -21
O b.-19
c. -1/19
O d.-1/21
Answer:
-1/19 = x
Step-by-step explanation:
(x - 1)/x = 20
Multiply each side by x
(x - 1)/x *x = 20*x
x-1 = 20x
Subtract x from each side
x-1-x = 20x-x
-1 = 19x
Divide each side by 19
-1/19 = x
write 10 examples of cube that you see in your daily life
Answer:
Step-by-step explanation:
1. Ice Cubes
2. Dice
3. Sugar Cubes
5. Old Iron Lockers
6. Gift Box
7. Cube Building Blocks
Solve for x in the diagram below.
120°
3x
0
2=
Answer:
x=40
Step-by-step explanation:
The 2 angles are opposite each other. Therefore, they are vertical angles. This means the 2 angles are equal. So, we can set them equal to each other.
120=3x
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
120/3=3x/3
120/3=x
40=x
x is equal to 40.
Answer:
40
Step-by-step explanation:
i had this a while ago
Use the table to find the experimental probability of spinning a number less than 2. Write your answer as a fraction.
Spinning a Spinner
Number spun Times spun
1 7
2 10
3 8
4 8
5 8
6 9
Answer:
The experimental probability of spinning a number less than 2
P( x<2) = 0.14
Step-by-step explanation:
Given data table
x 7 10 8 8 8 9 = total 50
P(X=x) [tex]\frac{7}{50} = 0.14[/tex] [tex]\frac{10}{50} = 0.2[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{9}{50} = 0.18[/tex]
Sum of the probabilities is equal ∑x P(x=x)
= 0.14 +0.2 +0.16 +0.16+0.16 +0.18
=1
Given data table
spinning
a spinner 1 2 3 4 5 6
x 7 10 8 8 8 9
P(X=x) 0.14 0.2 0.16 0.16 0.16 0.18
The experimental probability of spinning a number less than 2
P( x<2) = P( x=0) +P(x=1)
= 0 + 0.14
The experimental probability of spinning a number less than 2
P( x<2) = 0.14
a solid consists of cylinder surmounted by a right circular cone. The height of the cone is 2h. If the volume of the solid is 3 times the volume of the cone then what is the height of the cylinder. Plsss help fast
Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
Si en 1950 el 30% de la población global, alrededor de 700 millones de personas habitaban
en zonas urbanas. Calcule mediante procedimiento matemático la población total y la
población rural para la misma época.
Answer:
zonas urbanas => 30 % de la poblacion => 700 millones
poblacion total => 100 % de la poblacion => x => 2333.3 millones
poblacion rural => 70% de la poblacion => x - 700 => 1633.33 millones
[tex]x = \frac{700 \times100}{30} =2333.3[/tex]
[tex]x-700=2333.3-700=1633.33\\[/tex]
(1) a) 5270 cl= ? dal
b) 5,3 kl= ? hl
c) 58000 ml= ? dal
d) 0,39 dal = ? l
e) 7,8 dal = ? dl
f) 57,2ml= ? cl
(2)
a) 3,7 l= ? cm3
b)29,6 dm3 = ? cl
c)8,1 l = ? cm3
d) 5 l= ? m3
e) 5,2 cl = ? mm3
f) 375 ml = ? cm3
g) 1300cm3 = ? dl
h) 8,6 ml = ? mm3
i) 51,8 × 10 la puterea a 11 a litri= ? Km3
Answer:
Check below
Step-by-step explanation:
1) These metric volume units can be easily converted by dividing or multiplying by 10 and its multiple. Like this: each step up on the ladder multiply by 10. Each step down divide by 10
[tex]a)5270 \:cl=527\:dl\\b)kl=5.3 \times 10=530 hl\\c)58000ml=5.8 dal =(\frac{58000}{10000})\\d)0.39 dal=3.9 l\\e)7.8 dal=780 dl\\f)57.2 ml=5.72 cl[/tex].
2) When it comes to area, the "ladder scheme" remains valid but now we'll multiply or divide by
[tex]10^3[/tex]
Bear in mind these useful relations:
[tex]1litre =\frac{1}{10^3}m^{3}[/tex]
[tex]1 cm^{3} =1 ml[/tex]
[tex]a) 3.7 l=3700 cm^{3}\\b)29.6 dm^{3}\\29.6 dm^{3} \rightarrow 29.6\times10^{3} cm^3=29.6\times10^{3} ml = 29.6\times10^{2} cl \:or\:2960 cl\\c)8.1l=8100 cm^{3}\\d)5l=\frac{5}{10^{-3}} m^{3}\\e)5.2 cl=52ml=52 cm^{3}=52\times10^{3}=52000 \:mm^{3}\\f)375 ml=375 cm^{3}\\g) 1300 cm^{3}=1300 ml=13 dl\\h) 8.6 ml= 8.6 cm^{3}\times\: 10^{3}=8600 mm^{3}\\i) 51.8\times 10^{11} l \rightarrow 51.8\times 10^{-11}km^{3}[/tex]
HELP ASAP
15 POINTS
If the plane intersects the cylinder vertically along an edge of the cylinder, the cross section is
A. Circle
B. Line
C. Rectangle
D. Oval
Answer:
Option C.
Step-by-step explanation:
Cross section: In three-dimensional space, the non-empty intersection of a solid body and a plane is known as cross section.
A cylinder has two circular plane surface called edges (top and bottom) and curved surface.
If the plane intersects the cylinder vertically along an edge of the cylinder, then the plane is perpendicular to both edges and we get two pairs of opposite sides which are equal.
It means, the cross section of plane and cylinder is a rectangle.
Therefore, the correct option is C.
Help me with this question please and thank you
Answer:
B, C, E
Step-by-step explanation:
The solution of the inequality is x ≤ -7
The graph would have a closed circle because it's less than or equal to
-7 is a part of the solution because it's less than or equal to -7
Answer:
Step-by-step explanation:
Subtract 22 from both sides to get [tex]x\leq -7[/tex]. So the 2nd one is correct
The sign is less than or equal to, so the graph does indeed have a closed circle. So the 3rd one is also correct
The answer is x is less than or EQUAL to -7, so -7 is included in the asnwer. So the 5th one is also correct
One more question that is very similar to the last problem. I am confused on how to solve the powers in both the numerator and the denominator. Do you think you could help me?
[tex]answer \\ = \frac{4}{25} \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
The length of a rectangle is 6 cm less than twice its width, and the area is 108cm2. Write an equation to solve for the dimensions.
Answer:
see below
Step-by-step explanation:
Let's call the width w. The length would then be 2w - 6. Since the area of a rectangle = length * width the answer is 208 = (2w - 6) * w.
Solve y = 7x + 8 if the domain is {-4, -2, 0, 2}.
Answer:
y= -29 if domain is -4
y=-6 is domain is -2
y=8 if domain is 0
y=22 if domain is 2
Step-by-step explanation: