In hockey, Nick plays an average of 35 games per season. He finished the season with 47 goals. How many goals did he score per game?

Answer:

x=8

Step-by-step explanation:

distribute 7(4+x)

28+7x=84

84-28=56

56/7=8

7). 1/(√7-√11)

= 1×(√7+√11)/(√7-√11)(√7+√11)

= √7+√11 / (√7)² - (√11)²

= √7 + √11 / 7 - 11

= √7 + √11 / (-4)

EXPLAINATION:

to rationalize the denominator we multiply the numerator and the denominator by the denominator, but with the opposite sign.

For example - in the first question we multiplied 1 and √7 - √11 by √7 + √11 .

Answer:

Question 1. x>4

Question 2.  x<9

Answer:

1) Given

2) Isosceles triangle's 2 sides are equal. Vertex angle is M. So, ML = MN

3) Given

4) T divided LN into to equal parts.

5) Common

6) SSS

Answer:

Total surface area of this pyramid =665.6 in^2

Answer:

2 roses left over

Step-by-step explanation:

72/ 5 = 14.4

so we know for sure that we can put 14 roses on each vase  but no mor than 14 on each vase  Some will be  left left over

14x5 = 70

  72-70 = 2  (2 roses left over)

Answer: 2 / 15

Step-by-step explanation:

3 red / 10 total

4 white / 9 total

3/10 * 4/9 = 12/90 = 2/15

Answer: I think it is 39.25

Step-by-step explanation:

10/2=5

5^2=25

25*3.14=78.5

78.5/2=39.25

Answer:

C

Step-by-step explanation:

Answer:

D.) rational numbers are associative under subtraction

Step-by-step explanation:

rational numbers are closed under subtraction

↳ TRUE

zero is the identity for addition of rational numbers

↳ TRUE

subtraction is the inverse of the addition

↳ TRUE

rational numbers are associative under subtraction

↳ FALSE

Answer:

The angle between the two vectors is 84.813°.

Step-by-step explanation:

Statement is incomplete. Complete form is presented below:

Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors.

Let [tex]\vec u = \langle 6, -3, 1 \rangle[/tex] and [tex]\vec v = \langle 8,9,-11 \rangle[/tex], the angle between the two vectors is determined from definition of dot product:

[tex]\theta = \cos^{-1} \left(\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|} \right)[/tex] (1)

Where:

[tex]\vec u[/tex], [tex]\vec v[/tex] - Vectors.

[tex]\|\vec u\|[/tex], [tex]\|\vec v\|[/tex] - Norms of each vector.

Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.

If we know that [tex]\vec u = \langle 6,-3,1 \rangle[/tex] and [tex]\vec v = \langle 8, 9,-11 \rangle[/tex], then the angle between the two vectors is:

[tex]\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right][/tex]

[tex]\theta \approx 84.813^{\circ}[/tex]

The angle between the two vectors is 84.813°.

Answer:

C

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{285}{360}[/tex]

    = 2π × 18 × [tex]\frac{19}{24}[/tex]

    = 36π × [tex]\frac{19}{24}[/tex] ( cancel 36 and 24 by 12 )

    = 3π × [tex]\frac{19}{2}[/tex]

    = [tex]\frac{57\pi }{2}[/tex] → C

Answer:

x = total pencils = 400 pencils

Step-by-step explanation:

Let

x = total pencils

Pencils sold in the morning = 3/5x

Remaining pencil = x - 3/5x

= 5x-3x/5

= 2/5x

Pencils sold in the afternoon = 1/4 of the remainder

= 1/4 * 2/5x

= 2/20x

= 1/10x

Pencils sold in the afternoon = 1/10x

3/5x + 200 = 1/10x

3/5x - 1/10x = 200

(6x-x)/10 = 200

5/10x = 200

1/2x = 200

x = 200 ÷ 1/2

= 200 × 2/1

x = 400 pencils

x = total pencils = 400 pencils

Answer:

P(blue)=1/2 50 marbles are blue

Answer:

y = 2x - 3

Step-by-step explanation:

Since the line is going 2 down and 1 left. The slope is 2.

The line crosses the y-intercept at -3.

y = 2x - 3

Answer:

m = 2

Step-by-step explanation:

You have to use the slope formula and insert your points into the formula. Your formula should have turned into 0 - (-3)/1.5 - 0. If you simplfy your equation your get m(slope)=2.

Hope this helps! :D

-Luna

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

2x-x=-6-4

x=-10

Please mark me brainliest if it helped

2(x+3)=x-4

2x+6=x-4

-----------------

2x+6=x-4

2x+6=x-4-6

Subtract the numbers

2x=x-10

2x-x=x-10-x

Simplify

Combine like terms

Multiply by 1

Combine like terms

----->>> x= - 10

x equals -10

Answer:

f² - 11f - 12

Step-by-step explanation:

(f-12)(f+1) = f² + 1f - 12f - 12

Answer:

B. 100 pi units squared

Step-by-step explanation:

Find the surface area of a sphere with radius 5 using the formula SA=4pir²

Leave answer in terms of π = pi

From the question

The formula for the Surface Area if a square = 4 × pi × r²

r = 5

Hence,

Surface Area of a Sphere = 4 × pi × 5²

= 100 pi units squared

Option B is the correct option

Answer:

1/4

Step-by-step explanation:

Answer:

7/32

(btw thats the simplified version....look at the bottom for non-simplified if you didnt need it simplified)

Step-by-step explanation:

first count how many squares there are in total

its 8 by 8 so in total there are 64!

now there is the green triangle.....

count all the whole squares in it = 10

now count all the half squares (little triangles in it)= 8

Now if you put those little triangles together it would make one small unit square so it is 4 of all

10 + 4 = 14

So there is a Total of 14 unit squares in the green triangle

Fraction Time......

now lets take 14/64 and simplify it

that would be 7/32

We cant make it any more simplified now if you werent looking for the simplified version the your answser would be 14/64

Answer: 11y

Step-by-step explanation:

When you add 6y and 5y that equals 11y <3

Answer:

11Y goes in the highlighted section.

Step-by-step explanation:

Since the Xs was crossed out you don't have to worry about the X going tin the highlighted area.

Then add the Ys together.

I can't really explain anymore, but i hope this helps!!!!

Then your final answer would be y=6. :)

Answer:

It Would be 14 units.

Step-by-step explanation:

Have a Great Day.

:)

Will accept Brainliest

Answer:

Yes

Step-by-step explanation:

Yes. It could be a square if all sides are also the same measure.

A parallelogram will be a square when all four sides are of equal in length and all four angles are same.

Learn more:

https://brainly.com/question/16702162

Answer:

b

Step-by-step explanation:

Answer:

ok

Step-by-step explanation

part b

Answer:

11. 8/30

Step-by-step explanation:

add all the marbles

you get 30 marbles

then the probability of yellow being taken out is 8

Answer:

4

Step-by-step explanation:

the area of a square = length²

16 = length²

find the square root of both sides of the equation

length = 4

Answer:

27

Step-by-step explanation:

Multiply 90 by 0.3 and you have your answer

Answer:

B. 10, 2, -6, -14, ...

Step-by-step explanation:

substitute each sequence from the options into the function f(n) = -8n + 18

Answer:

B.

Step-by-step explanation:

find the first, second, and third term using the equation and check them with the options

f(1) = -8(1) + 18 = -8 + 18 = 10

f(2) = -8(2) + 18 = -16 + 18 = 2

f(3) = -8(3) + 18 = -24 + 18 = -6

which sequence has 10, 2, -6, ...? B.