In a tennis club the ratio number of junior members : number of senior members is
7 : 10. There are 18 more senior members than junior members. Find the total amount of club members.

Answer: Annie needs 13 quarts of coffee

Step-by-step explanation:

Answer:

cylinder radius and height

cone radius height

sphere raduis

Answer:

1) The vertices of the hyperbola are (-8, -15), (-8, 3)

2) The foci of the hyperbola are (11, -7) or (1, -7)

Step-by-step explanation:

1) The vertices of a hyperbola given in the form [tex]\dfrac{\left (y - k\right)^2}{a^2} -\dfrac{\left (x - h\right)^2}{b^2} = 1[/tex] is (h, k ± a)

Therefore, for the given hyperbola with the following equation;

[tex]\dfrac{\left (y + 6\right)^2}{81} -\dfrac{\left (x + 8\right)^2}{49} = 1[/tex], we have;

[tex]\dfrac{\left (y + 6\right)^2}{9^2} -\dfrac{\left (x + 8\right)^2}{7^2} = 1[/tex]

Therefore the vertices are;

(-8, -6 ± 9) = (-8, -15), (-8, 3)

2) The equation of the given hyperbola is presented as follows;

[tex]\dfrac{\left (x - 6\right)^2}{16} -\dfrac{\left (y + 7\right)^2}{9} = 1[/tex]

The given hyperbola is of the form;

[tex]\dfrac{\left (x - h\right)^2}{a^2} -\dfrac{\left (y - k\right)^2}{b^2} = 1[/tex]

We get;

[tex]\dfrac{\left (x - 6\right)^2}{4^2} -\dfrac{\left (y + 7\right)^2}{3^2} = 1[/tex]

The foci is then (h ± c, k)

Therefore, by comparison, the foci of the given hyperbola is (6 ± c, -7)

Where c² = a² + b²

∴ c² = 4² + 3² = 25

c = √25 = 5

∴ The foci; (6 ± 5, -7) = (11, -7) or (1, -7).

Answer:

8 sodas/cooler

Step-by-step explanation:

4 · 6 = 24

24/3 = 8

Answer:

Median is used to describe the center of the data of heights of 50 basketball players.

Step-by-step explanation:

The median divides the data into two equal parts.

It can be used to describe the center of the data.

The mean gives the average where most data lies.

The advantages of median are

1)it is located even when the values are not capable of quantitative measurements.

2) It is not affected by extreme values > It can be computed even when a frequency distribution  involves open end classes like those of income and prices.

3) In a highly skewed distribution median is appropriate average to use.

The disadvantages of the mean are

1) it is greatly affected by extreme values.

2) It sometimes gives fallacious conclusions.

3) In a highly skewed distribution mean is  not an appropriate average to use.

4) It cannot be computed even when a frequency distribution  involves open end classes like those of income and prices.

Answer:

The quadratic formula is:

-b +/- √b² - 4(a)(c)

           2a

Pretend the underline is a division line.

The square root symbol (√) counts for everything after it, not just b² btw.

Step-by-step explanation:

I know this video is cheesy, but the song helped me memorize it so I didn't have to look it up every time.

https://youtu.be/VOXYMRcWbF8

Step-by-step explanation:

Quadratic Formula :-

[tex]\sf{ x = \dfrac{ - b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]

Which works according to :-

[tex]\rm{ax^2 + bx + c}[/tex]

In case you do not know, this is also called Sridhar Acharya's formula.

Hope it helps :)

Answer:

n = -15

Step-by-step explanation:

Represent the number by n.

Then 2(n + 6) = n - 3

Performing the indicated multiplication, we get:

2n + 12 = n - 3

Combining like terms, we get n = -15

Answer:

7/22

Step-by-step explanation:

Area = 400/200 × 400/200 ×1/4 × 7/22 = 7/22

Step-by-step explanation:

Total distance covered in 200 rotation = 440 m

Distance covered in 1 rotation

= 440 / 200

= 2.2 m

Distance covered in 1 rotation = Circumference of circle so

circumference = 2πr

2.2 = 2 * 22/7 * r

2.2 = 6.28 r

r = 2.2 / 6.28

r = 0.35 m

Now Area of the wheel

= πr²

= 22 /7 * 0.35 * 0.35

= 0.385 m²

Hope it will help :)❤

Answer:

a) IJ is median

b) I is midpoint of HE, therefore, HI = IE

Substitute values and solve for x:

Answer:

a) IJ is median

IJ = 1/2(HG + EF)

IJ = 1/2(8 + 12) = 10 cm

b) I is midpoint of HE, therefore, HI = IE

Substitute values and solve for x:

10 = x - 4

x = 10 + 4

x = 14 cm

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Answer:

y = -5x - 19

Step-by-step explanation:

y = -5x + b

-4 = -5(-3) + b

-4 = 15 + b

-19 = b

Answer:

about 236.715 ft²

Step-by-step explanation:

area of a circle = πr²

so π7.5² = 176.7145868

area of a rectangle is b × h

so 15 × 4 = 60

60 +  176.7145868 = 236.7145868 ft² ≈ 236.715 ft² (for the nearest thousandths)

Answer:

c 10

Step-by-step explanation:

2units each and there are five spaces , this 10

Answer:

Step-by-step explanation:

Answer:

Links are never trusted sir

Step-by-step explanation:

copy and paste (●'◡'●)

Answer:

V = 183.16666666667 m3

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/geometry-solids/cone.php

This calculator might help with other problems you have like this one and no this isn't a scam

Step-by-step explanation:

[tex]y2- y1 \x2 - x1[/tex]

Step-by-step explanation:

if you do 14 divided by 7 gives you 2 am I right

Answer:

33 miles

Step-by-step explanation:

5.5÷4= 1.375 gal per round

1.375×24= 33 miles

It will take approximately 1.8 seconds for the phone to hit the ground.

A mathematical statement which includes two sides, namely, left and right hand side consisting of numbers or variables, which are connected by an "equal to" sign is called an equation.

Given in the question that,

Equation representing the situation of the height of the phone in t seconds, is,

h = -16t² + 50

where h is the height in feet and t is the time in seconds.

The phone hits the ground means that the height is 0 there.

Substituting h = 0,

-16t² + 50 = 0

-16t² = -50

t² = 50 / 16

t² = 3.125

t = 1.767 ≈ 1.8 seconds

Hence the time taken is 1.8 seconds to the nearest tenth.

To learn more about Equations, click here :

https://brainly.com/question/29538993

#SPJ2

Answer:

B) 70.92

Step-by-step explanation:

a = 12

b = 15

C = 52°

[tex] area = \dfrac{ab \sin C}{2} [/tex]

[tex]area = \dfrac{12(15) \sin 52^\circ}{2}[/tex]

[tex] area = 70.92 [/tex]

Answer:

c

Step-by-step explanation:

because 15 x 12 is 180 so multiply by .5 and you get 90 and 88.80 is the closest thing to 90

Answer:

purple

Step-by-step explanation:

systems of equations involves lines that cross

Answer:

Step-by-step explanation:

28 students all give $128

so,

[tex]\sqrt[28]{128}[/tex]= v  v=6

Each student gave 6 dollars. This is true due to the fact that

[tex]\sqrt[28]{128}[/tex]=6

28X6=128

Answer:

The answer is 119.7 hope this helped! Also please mark me as brainliest.

Answer is 15 miles

This is because:

1 inch- 5 miles

3 inches- 15 miles

3x5=15 miles

Hope this helps!

Answer:

2,9 should be your answer

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Step-by-step explanation:

Given:

The length of the rectangle = [tex]y^2+3y+7[/tex]

Width of the rectangle = [tex]y-3[/tex]

To find:

How much longer is the length?

Solution:

We need to find the difference between length and width of the rectangle.

[tex]Difference=Length-Width[/tex]

[tex]Difference=y^2+3y+7-(y-3)[/tex]

[tex]Difference=y^2+3y+7-y+3[/tex]

[tex]Difference=y^2+(3y-y)+(7+3)[/tex]

[tex]Difference=y^2+2y+10[/tex]

Therefore, the length of the rectangle is [tex]y^2+2y+10[/tex] much longer than the width.

Answer:

50m

Step-by-step explanation:

let the width be x

length=3x

3x+3x+x+x=400

8x=400

x=400÷8

x=50