Answer: -3
Step-by-step explanation:
There are
18 girls and
22 boys in a class,one
of them has a letter. The probability that
the
owner
of the letter is a boy is
Daniel cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 45 inches. How long is each side of the original square cake?
Answer:
15 inches
Step-by-step explanation:
As the square cake was cut in two equal pieces, we have that one side of the rectangle is the double of the other side, so we have that:
2*Length + 2*Width = 45
Length = 2*Width
So using the value of length in the first equation, we have:
4*Width + 2*Width = 45
6*Width = 45
Width = 7.5
Length = 2*Width = 15
So each side of the original cake is equal to the length of the rectangle pieces, that is, 15 inches.
Find the first four terms in the sequence an=15+6n.
A. 18, 12, 6, 0
B. 20, 26, 32, 38
C. 21, 27, 33, 39
D. 20, 14, 8, 2
The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
From the question, the equation to calculate the nth term is given which is
an=15+6n.
Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.
For the first term, a1
n = 1,
From the given equation, an=15+6n
∴ a1 = 15 + 6(1)
a1 = 15 + 6
a1 = 21
∴The first term is 21
For the second term, a2
n = 2,
From the given equation, an=15+6n
∴ a2 = 15 + 6(2)
a2 = 15 + 12
a2 = 27
∴The second term is 27
For the third term, a3
n = 3,
From the given equation, an=15+6n
∴ a3 = 15 + 6(3)
a3 = 15 + 18
a3 = 33
∴The third term is 33
For the fourth term, a4
n = 4,
From the given equation, an=15+6n
∴ a4 = 15 + 6(4)
a4 = 15 + 24
a4 = 39
∴The fourth term is 39
Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
Learn more on sequence here: https://brainly.com/question/24195209
Un laboratorio comercializa perfume en frascos que tienen una capacidad de 3/20 de litros ¿ cuantos litros de perfume se han de fabricar para llenar 1.000 frascos?
Answer:
Se debe fabricar 150 litros para llenar 1.000 frascos
Step-by-step explanation:
Segun los datos en el ejercicio un laboratorio comercializa perfume en frascos que tienen una capacidad de 3/20 de litros.
Para saber cuantos litros de perfume se han de fabricar para llenar 1.000 frascos hay que multiplicar la capacidad de los frascos por el número de frascos con el siguiente calculo:
litros de perfume se han de fabricar para llenar 1.000 frascos=(1,000/20) x 3
litros de perfume=50 x3
litros de perfume=150
Se debe fabricar 150 litros para llenar 1.000 frascos
Compare finding the slope using a table and graph
Help pleaseee: A rectangular prism is shown below with edges of 1, 6, and 4 units. If a diagonal runs from point A to point B, how many units long is diagonal AB ?
Answer:
the answer is [tex]\sqrt{53}[/tex]
Step-by-step explanation:
Answer:
Second option
Step-by-step explanation:
Diagonal² = 6² + 4²
Diagonal² = 52
AB² = diagonal² + 1²
AB² = 52 + 1
AB² = 53
AB = sqrt(53)
The equation of line a is y=-1/4x+3 if line b runs perpendicular theough (2,6) what would be the equation of line b ?
Answer:
The formula of this perpendicular line is y = 4x - 2
Step-by-step explanation:
In y = -1/4x+3 the gradient is -1/4.
If two lines are perpendicular, then their gradients will multiply together to give -1.
Use this to find the gradient a of the perpendicular line.
-1/4 * a = -1
a = -1 * -4 so the gradient a of the perpendicular line = 4.
Substitute (2,6) in y = 4x + b, to find the value of b.
y = 4x + b
(2,6)
6 = (4*2) + b
b = 6 - (8)
b = -2
So now we have our equation.
The formula of this perpendicular line is y = 4x - 2
9 x minus 10 = 3 x + 2
Answer:
x=2
Step-by-step explanation:
9 x - 10 = 3 x + 2
Subtract 3x from each side
9 x -3x- 10 = 3 x-3x + 2
6x -10 =2
Add 10 to each side
6x-10+10=2+10
6x = 12
Divide each side by 6
6x/6 = 12/6
x = 2
Answer:
x = 2
Step-by-step explanation:
9x - 10 = 3x + 2
9x - 3x = 2 + 10
6x = 12
x = 12/6
x = 2
hope it helps!
A bag contains 27 red marbles, 6 white marbles, and 3 gray marbles. You randomly pick out a marble, record its color, and put it back in the bag. You repeat this process 144 times. How many white or gray marbles do you expect to get?
If you randomly pick out a marble and replace it 144 times, you can expect white or gray marbles to be chosen.
Answer: 15 Gray or white Marbels!
Step-by-step explanation:
Calculate the volume of the solid
Answer:
48cm³
Step-by-step explanation:
Volume of a Triangular Prism Formula
Is used To Find the 3-D space/ volume occupied by a triangular prism.
V=1/4h√((c+a−b)(a+b−c))× √((a+b+c)(b+c−a))
side length a = 4
side length b = 5
side length c = 3
prism height h = 8
V=1/4h√((c+a−b)(a+b−c))× √((a+b+c)(b+c−a))
V=1/4(8)√((3+4−5)(4+5−3))× √((4+5+c3)(5+3−4))
V= 48cm³
please answer this. 20 points
Answer:
figure ii
Step-by-step explanation:
counterclockwise is this way >>>
thus making figure 2 the version of circle A spun counterclockwise
Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 2.
8. θ = -25°
9. θ = -390°
Answer:
8. -385°, 335°
9. -30°, 330°
Step-by-step explanation:
8. θ = -25°
-25-360 = -385°
-25+360 = 335°
9. θ = -390°
-390+360 = -30°
-30+360 = 330°
Rhonda used unit cubes to make a rectangular prism. What is the volume of the prism? Prism with length as 7 unit cubes, height as 3 unit cubes and width as 2 unit cubes. A. 14 cubic units B. 21 cubic units C. 42 cubic units D. 63 cubic units
Answer:
42 cubic units
Step-by-step explanation:
A rectangle prism formula is V = l x h x w.
The length is 7
The height is 3
The width is 2
Then multiply 7, 3, and 2 together (7 x 3 x 2) = 42
The volume of the Rhonda rectangular prism will be 42 cubic units thus option (C) is correct.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of the rectangular prism is given as,
V = length × height × width
Put length as 7 unit cubes, height as 3 unit cubes, and width as 2 unit cubes.
V = 7 x 3 x 2 = 42 units³.
Hence "The Rhonda rectangular prism will have a volume of 42 cubic units".
To learn more about volume,
https://brainly.com/question/1578538
#SPJ5
Which is a better buy on apples
5lbs. for $5.25 OR 10lbs. for $10.25
Answer:
10lbs. for $10.25
Step-by-step explanation:
Solve algebraically
x-4y=-10
x+y=5
Answer:
if x+y=5, then x=5-y
so x-4y=-10
5-y-4y=-10
5-5y=-10
-5y=-15
y=3
x=5-y
x=5-3
x=2
x=2; y=3
How many tangents that are common to both circles can be drawn?
A.1
B.2
C.3
D.4
Answer:
D. 4
Step-by-step explanation:
If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.
I hope this helped and have a good rest of your day!
Antonio has a CD-player that holds six CDs. He puts six different CDs in the player and the CD player randomly plays a song from any of the CDs. What is the probability that the CD player will play the first song from the first CD and the first song from the sixth CD? Write your answer as a fraction.
Answer:
I'm not sure if this is correct, but I would say 2/6. You could further simplify that to 1/3
Step-by-step explanation:
There are 6 CDs, and it is asking the probability that it will play the first song from the first CD, and the first song from the first song from the 6th CD. That is where we get our 2.
Sorry if that was a bad explanation, I have trouble with explaining stuff.
Let me know if this is correct or not-
Answer:
one over six.
Step-by-step explanation:
If the player only play a CD one time.
Then let one decided by six.
Therefore the answer as a fraction is one over six.
2 rectangular prisms. One prism has a length of 6 meters, width of 5 meters, and height of 5 meters. The other prism has a length of 4 meters, width of 5 meters, and height of 7 meters.
What is the volume of the figure?
116 m3
190 m3
290 m3
390 m3
Answer:
the answer is 290 m3 i hope you guys have a good day today <3
Answer:
C
Step-by-step explanation:
edge
There are 128 competitors in a tennis tournament. If Milo places in the 85th percentile, how many people
placed above him in the final rankings?
A)109
B)21
C)103
D)19
Please help me now plz I promise I will mark you brainliest
Answer:
C. Outside the circle
I hope this helps
Lisa has played in 6 soccer matches. Her brother Josh has played in 18 soccer
matches. Lisa says Josh has played in 12 times as many matches as she has
Use the drop-down menus to explain why Lisa's statement is not correct
Answer:
Josh has played 12 MORE matches then her. Not 12 TIMES as many matches. The correct answer would be he haas played 12 more matches then her or 3 times as many matches as her.
Step-by-step explanation:
someone help please
Answer:
C
Step-by-step explanation:
If you look at the graph, you notice there is no data to determine the slope, but there (0,b) represents the y-intercept. So my guess is, they give you a clue what the slope is already, but if you notice the y-intercept lowers the linear line a few notches because (0,18) is lower than the (0,30). That is what I would choose as the answer
Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labelled 1 through 4?
The answer is D.
For a toss of heads you can have a roll of 1, 2, 3 or 4.
and for a toss of tails you could have a roll of 1, 2, 3, or 4
The arc length
shown below is 15 feet.
State the equation that relates arc length to central angle.
Find the angle
in radians.
Convert your answer from Part II to degrees and write it to the nearest hundredth of a degree.
Answer:
s = rθ2.5 radians143.24°Step-by-step explanation:
The applicable formula is ...
s = rθ
where s is the arc length, r is the circle's radius, and θ is the central angle in radians.
Filling in the given values, we find ...
15 = 6θ
θ = 15/6 = 2.5 . . . radians
Pi (π) radians is 180°, so the angle in degrees is ...
2.5(180°/π) ≈ 143.24°
FP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is (5 x 3 ) + 10
Answer:
25
Step-by-step explanation:
5 x3 is 15 and then add 10. im sure u know that but yea
Hello i need help i only have 20 minutes help mee
Answer:
The first one
Step-by-step explanation:
Do you really want an explanation :v
Answer:
Can’t really see the end of the question but if it is 3/w it is most likely
c
Step-by-step explanation:
How do I convert 1.00 into a fraction?
Answer:
[tex]\frac{10}{10}[/tex] (10/10)
Step-by-step explanation:
to convert 1.00 into a fraction you have to write 1.00 as numerator and put 1 as the denominator.
then, you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
1.00 = 1.00/1 = 10/10
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Answer: I am confused in so many ways...
Which expression is equivalent to 2.2 - 2.5?
A 2.5 - 2.2
B 2.2 + 2.5
C 2.2+(-2.5)
D 2.2 - (-2.5)
Answer:
C
Step-by-step explanation:
2.2-2.5
Since a + and a - make a minus if we have 2.2+(-2.5) we would get 2.2-2.5. So C is the anwser.
A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round answers to nearest tenth. The diameter for the semicircles is 10
Answer:
39.275
Step-by-step explanation:
the diameter of the semicircle is 10
A semicircle is half a circle, and a quarter circle is 1/4 of a circle.
Perimeter of a semicircle is ¶d/2
= 3.142 x 10/2 = 3.142 x 5 = 15.71
For 2 semicircles that will be 15.71 x 2 = 31.42
For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855
Total perimeter = 31.42 + 7.855 = 39.275