Answer:
Both sports = 15
Step-by-step explanation:
Remark
What an interesting question. At first I didn't think it was possible. Then I saw the word only. That made all the difference in the world.
Givens
Football only = 35
Volleyball only = 15
Ratio = 5/3
Equation
Let the number of students who play both = x
Volleyball / Football = (x + 15) /(x + 35) = 3/5
Solution
(x + 15) / (x + 35) = 3/5 Cross multiply
5*(x + 15) = 3(x + 35) Remove the brackets
5x + 75 = 3x + 105 Subtract 3x from both sides
3x 3x
2x + 75 = 105 Subtract 75 from both sides
- 75 -75
2x = 30 Divide by 2
2x/2 = 30/2
x = 15
15 people play both sports.
URGENT!!
Choose the steepest line.
y = -2x + 10
y = 5x - 20
y = 10x + 1
y = -12x - 3
Answer:
y=-12x-x
Step-by-step explanation:
y=mx + b
m=slope
m = -12
slope = rise / run -12/1
. If you subtract ½ from a number and multiply the result by ½, you get 1/8 what is the number?
pls answer in detail
Answer:
0.75
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Use x for the equation: (x - 1/2)*1/2 = 1/8
Just go backwards
1/8 is the result, and to get it, you multiply by 1/2, so instead of that, you divide 1/8 by 1/2 instead (Dividing a number by a fraction is the same as multiplying it by its reciprocal. The reciprocal of 1/2 is 2): (1/8)/(1/2) = 1/8 * 2 = 2/8 = 1/4, now since we subtracted 1/2, we add instead: 1/4 + 1/2 = 1/4 + 2/4 = 3/4
sara is painting her house. to paint the second floor, she needs to lean her 15 foot ladder against her house to reach a point that is 11 feet above the ground
A) What is the angle of elevation that Sara's ladder will form with the ground?
B) How far from the base of the house should Sarah place the base of her ladder?
For A)
arcsin(11/15)=angle of elevation
47.17=angle of elevation
For B)
tan(47.17)=11/x
11/tan(47.17)=x
10.2=x
Math III WSD CRC QT 1.25 CR
Which expression illustrates the associative property of addition?
O (3 + 19) – 12 = (3 + 12) – 19
3+ (19 - 12) = 3 + (19 + 12)
(3 + 19) - 12 = 3+ (19 - 12)
3+ (19-12) = 3 - (19 + 12)
Which expression illustrates the associative property to addition?
Answer:
5ff5yvy hh h
Step-by-step explanation:
ctvtvh j h h h j
distributive law to simplify 15x13 + 15x17
Answer:
420 is the answer
hope it helps
Step-by-step explanation:
plz mark me brainleast
PLEASE HELP WILL MARK BRAINLIEST
Answer:
[tex]slop = \frac{2 - 1}{2 - 0} = \frac{1}{2} \\ for \: point \: x = 0 \: y = 1 \\ y - 1 = \frac{1}{2} \times (x - 0) \\ y = \frac{1}{2} x + 1[/tex]
Help help pls pls help help
Multiply the top equation and the bottom by 7.
Answer:
The answer is D: Multiply the top equation by 3 and the bottom equation by 4
Step-by-step explanation:
when you do that, the coefficients for the x on the top and bottom equations both become 12, so you would have to subtract the 2 equations to get rid of x.
let A=(1,2,3,4,5)which of the following sets are equal to A?
1.=(4,1,2,3,5)
2.=(1,2,3,4,5,6)
3.(x:x is interger & xsquare ≤ 25)
4.(x:x is a positive integer and x ≤5)
5.(x:x is a whole number and ≤ 5)
Answer:
1. (4,1,2,3,5)
Step-by-step explanation:
Since all the members of set A are present in "1"
Adele, Dennis, and Marie are siblings. The sum of their ages is 29. Marie is the eldest, and Adele is the youngest. None of the siblings are older than 16 or younger than 6. No two are the same age. List all the combinations of ages they could be in the organized list below. What is the probability that Marie is 12 years of age?
Answer:
also, Marie = 1/2
pls help due in 10 mins
Answer:
Area = 97.4 cm²
Step-by-step explanation:
a = 15 cm
[tex]Area = \frac{ \sqrt 3}{4} a^2\\[/tex]
[tex]=\frac{\sqrt 3}{ 4 } \times 15^2\\\\=\frac{\sqrt 3}{ 4 } \times 225\\\\= 97.4 \ cm^2[/tex]
I dont get the qustion
Answer:
1/2
Step-by-step explanation:
There are two possible outcomes when flipping a coin
heads or tails
P( tails) = number of favorable outcomes / total outcomes
= 1/2
Answer:
p is tails and its saying you flip a fair coin, meaning you have a 50 50 chance which means you have a 50% chance of getting heads and same with tails.
Step-by-step explanation:
therefore, p is 0.5
have a great day!!
y(0.5 + 4)
PLEASE HELP!!
Answer: 8
Step-by-step explanation:
Answer:
4.5y
Step-by-step explanation:
0.5y + 4y
4.5y
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1,−1)
(1,1)
(1,0)
(0,1)
============================================================
Explanation:
Point H is at (-2,2) and J is at (4,-2)
Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.
The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.
The midpoint is at (1,0). That's why the answer is choice C.
--------------------------
This next section is optional.
Points I and K are located at (4,3) and (-2,-3) respectively
Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1
Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0
We end up with the same midpoint (1,0)
The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.
Answer:
C is the correct answer
Step-by-step explanation:
A square is inscribed in a circle. If the area of the square is 9 in^2, what is the ratio of the circumference of the circle to the area of the square?
Answer:
√2π / 4
Step-by-step explanation:
Line x line y find the measures of angle 4
Answer: The measure of angle 4 is 95 degrees.
Step-by-step explanation:
Knowing that the lines are parallel that means the alternate exterior angles are congruent. The alternate exterior angle of the angle marked with 95 degrees is angle 1. That means angle one is 95 degrees. Angle 1 and Angle 4 are vertical angles. All vertical angles are congruent so this mean angle 4 is also 95 degrees.
please help me answer this
Answer:
pie
Step-by-step explanation:
Someone please help me with this :/
5.Express the number 0.307 x 10-Bin
scientific notation,
A
3.07 x 10-9
B
3.07 x 10-6
3.07 x 10-1
3.07 x 10-8
Answer:
A
Step-by-step explanation:
Write the nunber in scientific notation which we need to add -1 to 10 power to made it 3.07.
The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle
Answer:
The height of the triangle is [tex]6[/tex] cm.
Step-by-step explanation:
----------------------------------------
The formula for solving the area of a triangle is [tex]A=\frac{1}{2}bh[/tex] where [tex]b[/tex] stands for base and [tex]h[/tex] stands for height.
Let's substitute 30 [tex]cm^2[/tex] for the area and 10 for the base.
[tex]30=\frac{1}{2} (10)h[/tex]
-------------------->>>>
Now, let's solve to find the height.
[tex]30=\frac{1}{2}(10)h[/tex]
Multiply [tex]\frac{1}{2}[/tex] times [tex]10[/tex]
[tex]30=5h[/tex]
Divide both sides by 5.
[tex]6=h[/tex]
-----------------------------------------
Hope this is helpful.
Answer:
6 cm
Step-by-step explanation:
thanks for the pts
✌️❤️✌️
A sample of 12 measurements has a mean of 16.5, and a sample of 15 measurements has a mean of 18.6. Find the mean of all 27 measurements
Answer: [tex]17.67[/tex]
Step-by-step explanation:
Given
Sample of 12 measurements has a mean of 16.5 and
a sample of 15 measurements has a mean of 18.6
Take [tex]\bar{x_1},n_1[/tex] be the mean and no of measurements
and [tex]\bar{x_2},n_2[/tex] be the mean and no of measurements in second case
[tex]\therefore \bar{x_1}=\dfrac{\sum a_1}{n_1}\\\\\Rightarrow \sum a_1=\bar{x_1}\times n_1\\\\\Rightarrow \sum a_1=198\quad \ldots(1)[/tex]
Similarly,
[tex]\therefore \bar{x_2}=\dfrac{\sum a_2}{n_2}\\\\\Rightarrow \sum a_2=\bar{x_2}\times n_2\\\\\Rightarrow \sum a_2=279\quad \ldots(2)[/tex]
Mean of 27 measurements
[tex]\Rightarrow \bar{x_3}=\dfrac{\sum a_1+\sum a_2}{n_1+n_2}\\\\\Rightarrow \bar{x_3}=\dfrac{198+279}{12+15}\\\\\Rightarrow \bar{x_3}=\dfrac{477}{27}\\\\\Rightarrow \bar{x_3}=17.67[/tex]
Put these numbers in order from greatest to least.
3/7,1/6,5/6, and 0.14
The Spanish club was selecting which carnival booths to sponsor at the fall
carnival from a list of twelve. How many different ways can they choose two
booths from a selection of twelve?
Answer:
66
[tex]\frac{12!}{2!\left(12-2\right)!} =66[/tex]
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
ABC is a triangle. AC = 9 cm, BC = 7 cm and angle BAC = 30°
Calculate the size of angle ABC.
9514 1404 393
Answer:
∠B = 40° or 140°
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, so there are two possible solutions.
From the law of sines, ...
B = arcsin(b/a·sin(A)) = arcsin(9/7·sin(30°)) = arcsin(9/14)
Possible values for angle B are ...
B = arcsin(9/14) ≈ 40.0°
B = 180° -arcsin(9/14) ≈ 140.0°
What is the value of the expression?
8 1/2-2+4 3/4
On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15) what is the distance from the school to the theater
Answer:The distance from the school to the theater = 18 units
Step-by-step explanation:
Distance between (a,b) and (c,d) = [tex]\sqrt{(d-b)^2+(c-a)^2}[/tex] units.
Given: On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15).
So, distance between (-6, 3) and(-6, -15) = [tex]\sqrt{(-6-(-6))^2+(-15-3)^2}[/tex]
[tex]=\sqrt{0^2+(-18)^2}\\\\=\sqrt{18^2}\\\\=18\ units[/tex]
Hence, the distance from the school to the theater = 18 units
can someone please help for brainlest
Answer:
The area will be 2 times the old area.
Step-by-step explanation:
When you double something, that means you multiply it by 2, therefor it will be 2 times the old area.
Answer:
option 3
Step-by-step explanation:
Length = 5 m, Base = 3 m
Area = Length x Base
= 5 x 3
= 15 m²
Base is double = 2 x 3 = 6 m
Length remains same = 5m
New Area = Length x Base
= 5 x 6
= 30 m²
The new Area is increase by 2 times the old Area .
Juan is 5 and his mom is 35. In how many years will Juan's mom be 3 times Juan's age?
Answer:
10 yrs
Step-by-step explanation:
Juan is 5 yrs now, mom is 35.
add 10 yrs to both the ages
juan is 15 and mom is 45
15 x 3=45
Can You help me with this problem I’m stuck
Answer:
Last option,
i.e - 30 miles/1houris correct (☑️)
what is the perimeter of semicircle with radius of 3cm
Answer:
198/7
Step-by-step explanation:
perimeter of semi circle= (pi) x r + d
= 22/7 x 3 + 6
= 198 cm
Answer:
15.42 cm
Step-by-step explanation:
perimeter of semicircle = πr + 2r
=3.14*3 + 2*3
=9.42 + 6
=15.42
You throw a stone with a force of 55.1 N. It accelerates at 41.6 m/s2.
Find the mass of the stone in kg. Round your answer to 1 decimal place.
Answer:
Mass = 1.3 Kilograms.
Step-by-step explanation:
Given the following data;
Force = 55.1 N
Acceleration = 41.6 m/s²
To find the mass of the stone in kg;
Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.
Mathematically, it is given by the formula;
Force = mass * acceleration
Substituting into the formula, we have;
55.1 = mass * 41.6
[tex] Mass = \frac {55.1}{41.6} [/tex]
Mass = 1.3 Kilograms
Select the correct answer from the drop-down menu. A vertical pole is supported by two ropes staked to the ground on opposite sides of the pole. One rope is 8 meters long, and the other is 7 meters. The distance between the stakes is 6 meters, and the height of the pole is meters.
Answer:
6.78 m
Step-by-step explanation:
Since the set up forms a triangle with length of ropes two sides of the triangle a = 8 m and b = 7 m respectively, the distance between them which is c = 6 m forms the third side of the triangle.
To find the height of the pole, we need to find the angle between any of the ropes and the ground. So, choosing the 8 m long rope side and using the cosine rule,
b² = a² + c² - 2accosФ where Ф is the angle opposite the 7 m long side which is also the angle between the 8 m long side and the ground.
So, making, Ф subject of the formula, we have
b² - (a² + c²) = 2accosФ
cosФ = [b² - (a² + c²)]/2ac
Ф = cos⁻¹{[b² - (a² + c²)]/2ac}
substituting the values of the variables into the equation, we have
Ф = cos⁻¹{[b² - (a² + c²)]/2ac}
Ф = cos⁻¹{[7² - (8² + 6²)]/2(8)(6)}
Ф = cos⁻¹{[49 - (64 + 36)]/96}
Ф = cos⁻¹{[49 - 100]/96}
Ф = cos⁻¹{-51/96}
Ф = cos⁻¹{-0.53125}
Ф = 122.09°
Since the height of the pole, h is a perpendicular bisector to the base of the triangle, and the 8 m long side form a triangle with it and the ground and the 8 m long side being the hypotenuse side of this triangle, we have that
sinФ = h/a where a = 8 m and Ф = 122.09° = the angle between the 8 m long side and the ground.
h = asinФ
substituting the values of the variables into the equation, we have
h = asinФ
h = (8 m)sin122.09°
h = 8 m × 0.8472
h = 6.78 m
