there are 32 students at a pizza party. each students ate 1/4 pizza how many whole pizzas did the students eat altogether?

Answer:

[tex]NP = 24.18[/tex]

Step-by-step explanation:

Given

[tex]NK = 7x - 1[/tex]

[tex]NM = 10x - 13[/tex]

[tex]KM = 24[/tex]

See attachment

Required

Length of NP

First, calculate the value of x

[tex]NK = NM[/tex]

So:

[tex]7x -1 = 10x - 13[/tex]

Collect like terms

[tex]10x - 7x = 13 - 1[/tex]

[tex]3x =12[/tex]

Solve for x

[tex]x = 4[/tex]

To solve for NP, we consider right triangle [tex]\triangle NKP[/tex]

Where

[tex]NK = 7x - 1[/tex]

[tex]NK = 7 * 4 - 1[/tex]

[tex]NK = 27[/tex]

[tex]KP =\frac{1}{2}KM[/tex]

[tex]KP =\frac{1}{2} * 24[/tex]

[tex]KP =12\\[/tex]

Using Pythagoras theorem, we have:

[tex]NK^2 = KP^2 + NP^2[/tex]

[tex]27^2 = 12^2 + NP^2[/tex]

[tex]729 = 144 + NP^2[/tex]

Collect like terms

[tex]NP^2 = 729 - 144[/tex]

[tex]NP^2 = 585[/tex]

Take square roots

[tex]NP = \sqrt{585[/tex]

[tex]NP = 24.18[/tex]

Answer:

D) -3n - 2

Step-by-step explanation:

Hope this helps

Answer: 6,9000

Step-by-step explanation:

Answer:

the answer is acute equilateral

Answer:

12 + 5X = Y

Step-by-step explanation:

Given that a video store charges $ 5 per game rental plus $ 12 to rent the game system, to write an expression for renting the game system and a number of games the following logical reasoning must be performed:

5 = variable not fixed, depends on the number of games

12 = fixed variable

X = number of games

Y = total value

12 + 5X = Y

Thus, if 5 video games were rented, the equation would operate as follows:

12 + 5x5 = Y

12 + 25 = Y

37 = Y

that is right correct answer

Answer:

Hello! answer: 4/5

Step-by-step explanation:

20 ÷ 5 = 4 25 ÷ 5 = 5 that is 4/5 therefore 4/5 is the answer because we cannot reduce any further HOPE THAT HELPS!

Answer:

         [tex]\frac{20}{25} =\frac{4}{5}[/tex]

Answer:

968

Step-by-step explanation:

just substitute r for 8 and solve!

(-4r) (-30) - (-8) when r = 8

-4(8)×(-30)+8

-32 × -30 +8

960 + 8

968

Answer:

Step-by-step explanation:

A

Answer:

54.5

Step-by-step explanation:

To find the median, first we have to put the numbers in ascending/increasing order.

43, 60, 50, 36, 58, 50, 73, 59, 69, 51 is your set

36, 43, 50, 50, 51, 58, 59, 60, 69, 73 is your set in order.

The median is the middle number of the data set. Your set has an even number of entries, so we have to average the 2 middle numbers, which are 51 and 58.

36, 43, 50, 50,     51, 58,         59, 60, 69, 73

51 + 58 = 109

109/2 = 54.5

Answer:

here,radius =2 in

now use formula pie (r)^2 where pie is 3.14

=pie *(r)^2

=3.14*(2in.)^2

=3.14*4in.^2

12.56in.^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

38 and 21

Step-by-step explanation:

add 12+12+15 =38

add 6+6=12

take away 15-12=3

and then add 18+3=21

Answer:m

Step-by-step explanation:

Answer:

5/8 Jar

Step-by-step explanation:

I took the test...

Answer:

7 percent or 11

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

A quadratic equation has two roots . If we wanna check it from the graph , then , the number of points on which it cuts x axis .

Answer:

principal=1600

rate=5%

amount=1920

time=x

interest=p*t*r/100

=1600*x*5/100

=8000x/100

80x

amount=principal +interest

1920=1600+80x

1920-1600=80x

320/80=x

4=x

therefore after 5 years 1600 amount to 1920 at the rate of 5%

Step-by-step explanation:

I'm still doing the rest but number 1 is D

Answer:

x = 11

Step-by-step explanation:

[tex]x-3y=-7[/tex]

[tex]5x=-2y+67[/tex]

=> [tex]x=\frac{1}{5}(-2y+67)[/tex]

=> [tex]x=-\frac{2}{5}y+\frac{67}{5}[/tex]

=> [tex]-\frac{2}{5}y+\frac{67}{5}-3y=-7[/tex]

=> [tex]-\frac{17}{5}y+\frac{67}{5} =-7[/tex]

=> [tex]\frac{-17}{5}y=-\frac{102}{5}[/tex]

=> y = 6

=> [tex]x=-\frac{2}{5} .6+\frac{67}{5}[/tex]

=> x = 11

Answer:

60

Step-by-step explanation:

3x=3 multiplied by 2 which is 3x3=9

so, 9+(7x= 7x7=49) 49+3=61 rounded to 60

Answer:

(3,6)

Step-by-step explanation:

Using the midpoint segment formula

M(X, Y) = [(ax1+bx2/2, ay1+by2/2)]

Given (-2 -6) and (4,6) divided in the ratio 1:5

X = 1(-2) + 5(4)/1+5

X = -2+20/6

X = 18/6

X = 3

Similarly

Y = 1(-6)+ 5(6)/1+5

Y = -6+30/6

Y = 24/6

Y = 4

Hence the required coordinate of C is (3,6)

Answer:

54

Step-by-step explanation:

First solve for brackets then multiplication or division then addition or subtraction

Answer: 52.

Step-by-step explanation: I don't know if you know about PEMDAS, but it basically stands for (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). So first, we would do Parenthesis. In the parenthesis, we have 3 + 4 - 1. Addition and Subtraction are the same, since they are inverse operations. We would start from left to right, so the addition goes first. 3 + 4 = 7. Now we are left with 7 - 1. 7 - 1 = 6. The equation so far is: 16/4 + 54 - 6. Next, we will do division. 16 ÷ 4 = 4. The equation so far is: 4 + 54 - 6. Now, we have to add 4 + 54 since we are doing it from left and right. 54 + 4 = 58. We are left with 58 - 6. 58 - 6 = 52. So your final answer is 52. Hope this helps!! :) **I tried my best**

Line EB is a diameter which splits the circle in the middle so the arc of EB would be half the circle. The arc goes through B and continues to C making the arc longer than half the circle.

An arc that is longer than half a circle would be a major arc.

The answer is: Major Arc