Answer:
The softball team needs to raise more money per person.
Step-by-step explanation:
To calculate what you need in each team you have to divide the money you need by the number of players in each team, because each one contributes an equal amount.
The softball team needs to raise $ 318.12 between the twelve girls on the team:
318.12 / 12 = 26.51
$ 26.51 each girl needs to contribute
The hockey team needs to raise $ 391.92 between the 24 boys on the team
391.92 / 24 = 16.33
$ 16.33 each boy needs to contribute
Therefore, the softball team needs to raise more money per person.
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
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The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?
A. (x - 2)2 + (y + 4)2 = 34
B. (x - 2)2 + (y + 4)2 = 136
C. (x + 2)2 + (-4)2 = 34
D. (x + 2)2 + (-4)2 = 136
Answer:
A
Step-by-step explanation:
if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0
[tex]x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}[/tex]
center is (2,-4)
r=√(2²+(-4)²-(-14))
=√(4+16+14)
=√(34)
eq. of circle is (x-2)²+(y+4)²=34
or
(x²-4x)+(y²+8y)=14
(x²-4x+4)+(y²+8y+16)=14+4+16
(x-2)²+(y+4)²=34
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
Please help me now plz I promise I will mark you brainliest
Answer:
C. Outside the circle
I hope this helps
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
A sphere-shaped beach ball is 16 inches in diameter. How many cubic inches of air will the ball hold when it is fully inflated? Use 3.14 for π. Round your answer to the nearest tenth.
a.682.7 cubic inches
b.2,143.6 cubic inches
c.5,461.3 cubic inches
d.17,148.6 cubic inches
15 POINTS. AND I WILL MARK BRAINLIEST!!!!
what is the angle of rotation symmetry for a shape that has rotational symmetry of order 5?
Answer: 72 degrees
Step-by-step explanation:
Compare finding the slope using a table and graph
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
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".
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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!
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.
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:
Which rule best describes the following pattern?
8, 4, 10, 6, 12, 8, 14, ...
Answer: It decreases by four then go up by six or increase by 6.
Step-by-step explanation:
It shows the alternating increased by 2
It decreases by four then go up by six or increases by 6.
We have given the pattern is
8, 4, 10, 6, 12, 8, 14, ....
We can see that
the first number is 8 and the second is 4
8>4
from 8 to 4 it is decreasing and the 4 to 10 it is increasing and again after 10 it is decreasing a.
What is the meaning of increasing?Increasing means there is a second number is greater than the first number third number is greater than the second number and so on.
There is two pattern
8,10,12,14....
Increasing by 2
4,6,8.....
Increasing by 2
Therefore it shows the alternating increased by 2.
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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)
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:
Use Pythagorean Theorem to find the missing side length. Round to the nearest tenth.
Answer:
15.1
Step-by-step explanation:
The Pythagorean theorem is
a^2 +b^2 = c^2
23^2 + b^2 = 27.5^2
529 +b^2 =756.25
Subtract 529 from each side
529-529+b^2 =756.25-529
b^2 =227.25
Take the square root of each side
b =sqrt(227.25)
b =15.07481343
To the nearest tenth
b = 15.1
Answer:
15.1
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
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
If the sides of a triangle are in the ratio 5 is to 4 is to 3 and its area is 54 CM square find perimeter
Answer:
Perimeter = 36 cm
Step-by-step explanation:
Ratio of sides = 5:4:3
Sides are:
a = 5x ; b= 4x ; c = 3x
Semi perimeter S = (a + b+ c )/2 = (5x + 4x +3x)/2 = 12x /2 = 6x
S - a = 6x - 5x = x
S - b = 6x - 4x = 2x
S - c = 6x - 3x = 3x
[tex]Area=\sqrt{S*(S-a)*(S-b)*(S-c)}\\\\\sqrt{6x*x*2x*3x}=54\\\\\sqrt{36x^{4}}=54\\\\6x^{2}=54\\\\x^{2}=\frac{54}{6}\\\\x^{2}=9\\\\x=\sqrt{9}\\\\ x=3\\[/tex]
sides of triangle:
a = 5x = 5*3 = 15 cm
b = 4x = 4*3 = 12 cm
c = 3x = 3*3 = 9 cm
Perimeter = 15 + 12 + 9 = 36 cm
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
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.
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°
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
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.
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°
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
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:
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
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!
