what is the ratio of 7 :21 in their simplest form
divide both sides by 7
>>>>>> 1 : 3
Lin has a die with 6 sides, each labeled 1, 2, 3, 4, 5, and 6. What is the probability that she will roll a 3? *
Answer:
Probability of rolling number 3 = [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Lin has a die with 6 sides.
Each side of the die is labeled with 1, 2, 3, 4, 5 and 6.
Since, probability of rolling any number = [tex]\frac{\text{Favorable event}}{\text{Total number of events}}[/tex]
Therefore, probability of rolling number 3 = [tex]\frac{\text{Favorable event}}{\text{Total number of events}}[/tex]
Favorable event of getting 3 in single roll = 1
Total events that can happen in one roll = 6
Therefore, probability of rolling number 3 = [tex]\frac{1}{6}[/tex]
Un padre cede al mayor de sus hijos la quinta parte de su capital, al segundo la cuarta parte del mismo y al tercero le da el resto, que son 33,000 euros. ¿Cuál era su capital? ¿Cuánto le correspondió a cada hijo?
Answer:
El padre tenía un capital de 60,000 euros.
El hijo mayor recibe 12,000 euros.
El hijo segundo recibe 15,000 euros.
El hijo tercero recibe 33,000 euros.
Step-by-step explanation:
Sea [tex]x[/tex] el capital total del padre y [tex]a,b,c[/tex] son las asignaciones a los hijos mayor, segundo y tercero. A continuación, construimos las ecuaciones matemáticas a partir de lo descrito en el enunciado:
Hijo mayor
[tex]a = \frac{1}{5}\cdot x[/tex] (1)
Hijo segundo
[tex]b = \frac{1}{4}\cdot x[/tex] (2)
Hijo tercero
[tex]c = \left(1-\frac{1}{5}-\frac{1}{4}\right)\cdot x = 33000[/tex] (3)
De (3) tenemos que el capital del padre es:
[tex]x = \frac{33000}{1-\frac{1}{5}-\frac{1}{4} }[/tex]
[tex]x = 60000[/tex]
El padre tenía un capital de 60,000 euros.
Por (1) y (2) determinamos los capitales del hijo mayor y el hijo segundo:
[tex]a = \frac{1}{5}\cdot x[/tex]
[tex]x = 12000[/tex]
El hijo mayor recibe 12,000 euros.
[tex]b = \frac{1}{4}\cdot x[/tex]
[tex]b = 15000[/tex]
El hijo segundo recibe 15,000 euros.
What is the arc length if θ = 6 pi over 5 and the radius is 2 cm? (1 point)
Samuel earns $50.75 each week by working at a part-time job. He works the same amount of time each day for 5 weeks. What is the total amount of money Samuel earns during the 5-week period?
Answer:
$253.75
Step-by-step explanation:
He earns $50.75/week. Do 50.75 x 5 = $253.75
7)
A rectangular container is 40 cm by 30 cm by 25 cm. It is filled with
3
water up to 5
of its height. Half of the water is then poured out. How
much water is left in the container? Give your answer in litres.
Answer: 9 L
Step-by-step explanation:
Given
The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]
It is filled with [tex]\frac{3}{5}[/tex] of the height
Water present in the container
[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]
Also, [tex]1\ L=1000\ cm^3[/tex]
[tex]\therefore 18,000\ cm^3=18\ L[/tex]
Now, half of the water is poured out
So, half is left
[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]
Thus, 9 L of water is left in the container
For this parallelogram (a) choose the best name and then (b) find the value of x and y.
Answer:
rectangle
7x + 4 = 36/2
7x + 4 = 18
7x = 14
x = 2
there is no y
The angle of elevation to a building in the distance is 22°. You know that the building is approximately 450ft tall. Estimate the distance to the base of the building
Answer:
1114 ft
Step-by-step explanation:
tan 22°=450/d
==>d=450/tan 22°=1113.7890... ≈1114 (ft)
PLEASE HELP (12 YEAR OLD MATH)
Answer:
1.5 I think?
Step-by-step explanation:
it was counting by 6 but then skipped to 26 so I assume it is 1.5
Please answer correctly
QRN= 65º
hope this helps!!
A rectangle with area
126
square inches has a length that is four less than two times the width. Find the length and the width of the rectangle.
Answer:
Step-by-step explanation
width is 9. length is 14
ACELLUS HELP ASAP
a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Enter
At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown: x + 2y = 3.25
Which of the following could be the second equation in his system of equations?
3x + 4y = 7.25
4x + 3y = 7.25
3x - 4y = 7.25
(3 + 4)x = 7.25
Answer:
p + 2c = 3.25 Start with these two equations
3p + 4c = 7.25
p = -2c + 3.25 Solve for one variable
3(-2c +3.25) + 4c = 7.25 Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1
p + 2(1) = 3.25 Substitute
p + 2 = 3.25
p = 1.25
A bag of chips costs $1
A pickle costs $1.25
Step-by-step explanation:
pls mark me brainless
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answer:
it's a parallelogram.
Step-by-step explanation:
reason Since the vertically opposite angles are equal definitely the sides must be parallel to each other there by making it a parallelogram
helppppppppppppppppppppppp
Answer:
b.........................
Answer:
D.
Step-by-step explanation:
bahahahhaa
Hey karlieeeeeeeeeeeeee XD
Susan collected 89 stickers for 28 weeks. How many stickers did she collect in total round off your answer to the nearest hundred answer for free
Answer:
2500 ( nearest hundred)
Step-by-step explanation:
Given that :
Number of stickers collected per week = 89
Number of weeks for which stickers were being collected = 28
To obtain the total number of stickers collected, we take the product of the number of weeks for which the stickers were beug vcilled and the number of stickers collected per week
The number of stickers collected :
89 * 28 = 2492
2492 = 2500 ( nearest hundred)
answer for brainlest and 10 points
Answer:
Rational
Step-by-step explanation:
This can be reduced to a ratio of 1/2. Numbers that can be expressed as ratios are rational.
Each morning papa notes the birds feeding on his birdfeeder. So far this month he has seen 59 blue jays, 68 black crows, 12 red robins and 1 cardinal
what is the probability of a blue jaybeing the next bird papa sees?
A. 0.421
B 0.59
C. 0.059
D. 0.042
what is the volume of a cylinder with a length of 6 inches and a width of 5 inches?
b) Thousandth means one part from_______
equal parts
Answer:
One thousand
Step-by-step explanation:
Answer: one thousand
Step-by-step explanation:
A thousandth is one of a thousand equal parts of something. ... a dust particle weighing only a thousandth of a gram.
if an interior angle measures 120 degrees what is the measure of the adjacent exterior angle
Answer:
60
Step-by-step explanation:
180 - 120 = 60
when dealing with interior and exterior angles, the highest is 180 degrees
What is the mean of the following data set: 100, 121, 105, 113, 108
Answer:
Mean = 109.4
Step-by-step explanation:
Mean = (Sum of all values)/(Number of values)
Mean = (100 + 121 + 105 + 113 + 108)/(5)
Mean = (547)/5
Mean = 109.4
Answer:
109
Step-by-step explanation:
Mean is just finding the average of the data set.
100+121+105+113+108=547, first add up all the numbers
547/5=109.4, then divide that sum by the amount of numbers in the set
Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves. If his ship hasn't already been hit, Captain Ishaan has probability \dfrac{2}{5} 5 2 start fraction, 2, divided by, 5, end fraction of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss. If his ship hasn't already been hit, dread pirate Michael has probability \dfrac{3}{8} 8 3 start fraction, 3, divided by, 8, end fraction of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss. If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?
Answer:
2/5*0=0
Step-by-step explanation:
i did it on khan
I’ll give the Brainliest to who answers these questions with reasonable explanations.
1. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and put back, and then another marble is drawn. What is the probability that a blue marble was drawn followed by a yellow marble?
2. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and not put back, and then another marble is drawn. What is the probability that a blue marble was drawn followed by a yellow marble?
Thank you.
Answer:
1. 0.0469 (4.d.p)
2. 0.05
Step-by-step explanation:
1. First we'll find the probability of drawing a blue marble.
P = (No. favourable events)/(Total events)
In this case it's:
P = (No. blue marbles)/(Total Marbles)
Therefore P(Blue) = 4/16 = 0.25
Now we find the probability of drawing a yellow marble:
The total number will be the same because the blue marble will have been put back.
P(Yellow) = 3/16 = 0.1875
Now, since we are calculating the probability of both happening we multiply together the two individual probabilities to get the combined probability of both:
0.25 x 0.1875 = 0.0469 (4.d.p)
2. The probability of drawing a blue marble is still the same so we can keep that: P(Blue) = 0.25
But this time, the marble is not replaced. This means that the total number of marbles has changed when drawing the yellow marble:
P(Yellow) = 3/15 = 0.2
Now we multiply them together again to find the combined probability of both happening:
0.25 x 0.2 = 0.05
Hope this helped!
Line n intersects lines 1 and m, forming the angles
shown in the diagram below.
(6x + 42)
18x - 12)
Which value of x would prove ! || m?
1) 2.5
2) 4.5
3) 6.25
4) 8.75
the staff has a meeting every morning.how long do they spend on meetings in a fortnight?
Answer:
isn't a fortnight 14?
Step-by-step explanation:
plz help im lazy plzzzzzzzzzzz
Answer:
-5-7×4=-5-28=-33
........
Answer: -33
Step-by-step explanation:
1. -5 - 7(4)
2. -5 - 28
3. -33
WILL GIVE BRAINLIEST!!
Hazeline Allen's mortgage loan amount is $87.750. She financed her house
for 30 years with monthly payments of $725. At the end of 30 years, what
will be the total amount Hazeline will pay for the house? *
a $116,115
b $152,725
c $173,250
d $261,000
Answer:
Letter C
Step-by-step explanation:
trust me its right!
Write an expression that represents the volume of a cube with side length 2x^3. (For any cube with side length s, v = s^3 = s.s.s^.)
A. 6x^6
B.6x^9
C. 8x^9
D.8x^6
Answer:
C. 8x^9
Step-by-step explanation:
(2x³)³=8x^9
lots of point n brainliest SO help rq
Bruce invested a certain amount of money for five years at a rate of 2.25%. At the end of that time, he had earned $675 in interest. How much money was invested? (See Example 3 from your notes.)
a
$6000
b
$6675
c
$6750
d
$5645
Answer:
A. $6000Step-by-step explanation:
Let the invested amount is x.
Then the interest amount is:
x*5*2.25/100 = 6750.1125x = 675x = 675 / 0.1125x = 6000Correct choice is A
