There are 15 students on the debate team. Four will attend the debate. How many groups of four can be selected from the 15 students?​

Answer:

A

Step-by-step explanation:

Using the square root property to solve this 64x² - 121 = 0, the value of x is - 11 / 8 and 11 / 8.

64x² - 121 = 0

add 121 to both sides of the equation

64x² - 121 + 121 = 0 + 121

64x²  = 121

divide each term by 64 and simplify

64x² / 64  = 121 / 64

x² = 121 / 64

Take the square root of both sides of the equation to eliminate the exponent on the left side

√x² = ±√ 121 / 64

Simplify the right side of the equation.

x = ± 11 / 8

Therefore,

x = 11 / 8, - 11 / 8

learn more on square root property here: https://brainly.com/question/3506989

Answer:

  3%

Step-by-step explanation:

The interest on the account is given by the simple interest formula:

  I = Prt

where I is the interest, P is the principal invested, r is the annual rate, and t is the number of years

  375 = 2500r(5) . . . . . . using the given values in the formula

  375/12500 = r = 0.03 . . . . . divide by the coefficient of r

Sonnie's account had a 3% interest rate.

Answer: 10 cars

Step-by-step explanation:

We know that:

A railroad car is 6 inches long and the railroad track is 5 feet long

Start by converting feet to inches. You can do that by multplying the amount of feet by 12.

5 feet x 12 = 60 inches

Now we can divide the length of the railroad track by the length of the railroad cars to see how many we can fit.

60 ÷ 6 = 10

Answer:

With this hypotenuse calculator you will quickly find this longest side of a right triangle. If you want to know what is the hypotenuse

Step-by-step explanation:With this hypotenuse calculator you will quickly find this longest side of a right triangle.

Answer:

m = ± [tex]\sqrt{n}[/tex]

Step-by-step explanation:

m² = n ( take square root of both sides )

m = ± [tex]\sqrt{n}[/tex]

Answer:

36

Step-by-step explanation:

Every next term is added by a multiple of 3

6 + 3 = 9

9 + ( 3 × 2 ) = 15

15 + ( 3 × 3 ) = 24

24 + ( 3 × 4 ) = 36

Answer:

36.

Step-by-step explanation:

The differenes in the terms are 3, 6, 9  so the next difference is 12.

24 + 12 = 36.

Answer:

amount of paint:

If divide into 6 jars:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Total jars = 6

Total cups of blue paint :

[tex]\qquad \tt \dashrightarrow \: \frac{1}{2} + (1 \times 3) + 1 \frac{1}{2} + 2[/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{1}{2} + 3 + \frac{3}{2} + 2[/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{1 + 6 + 3 + 4}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{14}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:7 \: cups[/tex]

So, teacher distributes all blue paint equally in each jar, then amount of paint in each jar is :

[tex]\qquad \tt \dashrightarrow \: \dfrac{7}{6} [/tex]

[tex]\qquad \tt \dashrightarrow \:1 \frac{1}{6} \: \: cups[/tex]

So, option B is correct

315 m²

area of rec + area of rec + area of rec +  area of triangle

⇒ length + width + length + width + length + width + 1/2 * base * height

⇒ 19 * 6 + 9 * 9 + 18 * 5 + 1/2 * 12 * 5

⇒ 90 + 30 + 81 + 114

⇒ 315 m²

Answer:

315 m²

Step-by-step explanation:

As this figure may seem complicated, we can split it into four separate figures.

Area

Answer:

There are 3 feet in one yard, so each foot is 1/3 of a yard/

To find the percentage of each foot, divide 1 by 3

One foot is 33 1/3 percent of a yard.

Twelve inches is 33.33 percent of a yard.

Percentage is defined as a number that can be expressed as a fraction of 100.

The statement is

Twelve inches is what percent of a yard

12 inches in terms of % yard

1 inch = 0.0277778 yard

12 inches = 0.333336 yard

In percentage = 33.33 % yard

To know more about Percentage

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Answer:

Each CD was $14.1.

Step-by-step explanation:

43.50 - 1.30 = 42.2

42.2/3 = 14.1

Answer:

3.

Step-by-step explanation:

You use a "centroid." There is a ratio. As provided, MW is 9. The ratio is 1:2, and CW is smaller. The answer is 3.

"The centroid is also known as the geometric center of the object. The centroid of a triangle is the point of intersection of all the three medians of a triangle. The medians are divided into a 2:1 ratio by the centroid." -cuemath .com > geometry > centroid-of-a-triangle

Answer:

280°

Step-by-step explanation:

There are 360° in a circle. you are given an arc that is 80°.

To find the arc JKI, subtract 80 from 360.

360 - 80 = 280°

[tex]\tan 60^{\circ}~\text{equals y coordinate divided by x coordinate, where }(x,y) = \left(\dfrac 12, \dfrac{\sqrt 3}2 \right)[/tex]

[tex]\tan 60^{\circ}\\\\= \dfrac yx \\\\\\=\dfrac{\sin 60^\circ}{\cos 60^\circ}\\\\\\=\dfrac{\tfrac{\sqrt 3}2}{\tfrac 12}\\\\\\=\dfrac{\sqrt 3}2 \times 2\\\\\\=\sqrt 3[/tex]

This rule is enough

Now

Here A=60°

Answer:

I disagree a basketball player is not dependent on the on one event that Is an event does not affect another

I could help you with math

Answer:

5/18

Step-by-step explanation:

Here,

total numbering balls n(S) = 18

total number of winning balls n(B) = 5

Therefore,

Probability or winning chances P(B)=

n(B)/n(S)

= 5/18

the answer is 118 degrees

Answer:

Angle D = 118°

Step-by-step explanation:

Check out the attached photo.

Answer:

£442

Step-by-step explanation:

see vid on how to calculate cm² of a box here

Answer:

17cm²

Step-by-step explanation:

area of box =l×w

10cm×10cm=100cm²

0.17×100cm²=17cm²

c , Natural selection is the process where species evolved over time through trying to adapt their environment.

Answer:

[tex]\huge{\boxed{\bf\:1.79 * p}[/tex]

Step-by-step explanation:

Given,

If pounds of peaches = p, then,

Cost of p pounds of peaches

= Cost of 1 pound × p pounds of peaches (p)

= 1.79 × p

[tex]\rule{150pt}{2pt}[/tex]

Answer:

B and C

Step-by-step explanation:

The point where (-2,5) is located is also a intersection between the line B and C.

Therefore, the resulting expression for the price Genevieve will pay

will be:  p - 100 - 3/20p

-lukelaws

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

Step-by-step explanation:

please mark brainliest if you can thx <3

Answer:

5000(0.98)^x, with x being the amount of years

Answer:

Step-by-step explanation:

If you use de morgan's laws to write out [tex]-(PvQ)[/tex], it returns -P ^ -Q

And if ^ means 'and', it is showing that (P and Q) and (-P and -Q) which isn't possible since there can't be something that is both true and false. Therefore, it is a contradiction since something can not be true a nd false at the same time.

Answer:

18

Step-by-step explanation:

We can rewrite the question into mathematical forms, such as:

[tex]\frac{3}{1} =\frac{x}{6}[/tex]

solve for x:

[tex]\frac{3}{1} =\frac{x}{6} \\\\3*6=\frac{x}{6}*6\\\\18=x[/tex]

Answer:

y = 2 v2, 2 square root 2

Step-by-step explanation:

since it's a right triangle with a 45°, that means the other angle is also 45°

which makes both sides the same

Pythagoras

4^2 = y^2 + y^2

16 = 2 y^2

16/2 = y^2

8 = y ^2

v8 = y

2 v2 = y

note: (v = square root)

Answer:

[tex]2\sqrt{2[/tex]

Step-by-step explanation:

The ratios of a 45 - 45 - 90 triangle is [tex]1:1:\sqrt{2}[/tex]

To get 4 for the hypotenuse, you need to mulitpy [tex]\sqrt{2}[/tex] by [tex]\sqrt{8}[/tex].

[tex]\sqrt{2}[/tex] x [tex]\sqrt{8}[/tex] = [tex]\sqrt{16}[/tex]

Simplify.

[tex]\sqrt{16} = 4[/tex]

If you simplify the [tex]\sqrt{8}[/tex], it equals [tex]2\sqrt{2}[/tex].

Since the ratio is [tex]1:1:\sqrt{2}[/tex]

The sides will be [tex]2\sqrt{2}:2\sqrt{2}:4[/tex]

Answer:

y = 40

Step-by-step explanation:

y = k/x²

Let a = the x-value corresponding to y = 10

For x = a, y = 10

10 = k/a²

k = 10a²

The function is:

y = 10a²/x²

Now we halve the x-value a:

Let x = a/2.

y = 10a²/x²

y = 10a²/(a/2)²

y = 10a²/(a²/4)

y = 40