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3 years ago

7

5a. A salad bar has five kinds of salad. In how many different ways can you choose two different salads from five?

1 answer:

Charra [1.4K]3 years ago

6 0

Answer:

a) 10 salads

b) 5 Choose 2 and 5 Choose 3 result in the same amount

Step-by-step explanation:

a) ₅C₂ = 5! / (5-2)! 2!

= 5! / 3! 2!

= (5 × 4) / 2

= 10 salads

b) ₅C₃ = 5! / (5-3)! 3!

= 5! / 2! 3!

= (5 × 4) / 2

= 10

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-2x-9y=-25 -4x-9y=-23 system with elimination

REY [17]

Multiply the first equation by -2. It turns into 4x+18y=50 and the other one stays -4x-9y=-23. Then you "eliminate" the equations by "adding" them. Set it up like this:
4x+18y=50
+
-4x-9y=-23
4x-4x= 0. 18y-9y= 9y and 50-23= 27
SO: 9y= 27 and y= 3
And then you plug that in to one equation: 4x +18(3)= 50. 4x= 50-(18*3)
4x= -4, so x=-1.
Plug it back in to check!
Hope this helps. Happy solving! :)

4 0

2 years ago

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Need answer ASAP !!!!

kondor19780726 [428]

Answer:

y = -1/4x^2 - x + 3

Step-by-step explanation:

(-6,0)

(-4,3)

(2,0)

36a - 6b + c = 0

16a -4b + c = 3

4a + 2b + c = 0

c = -4a - 2b

36a - 6b - 4a -2b = 0

16a - 4b -4a - 2b = 3

32a -8b = 0

12a - 6b = 3

4a - b = 0

4a - 2b = 1

b = -1

4a + 1 = 0

4a = -1

a = -1/4

c = 1 + 2 = 3

y = -1/4x^2 - x + 3

4 0

3 years ago

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OM , ON and OP are the angle bisectors of ∠AOB, ∠BOC, and ∠COD respectively. ∠AOD and ∠BOE are straight angles.

Orlov [11]

Find m∠BOC, if m∠MOP = 110°.

Answer:

m∠BOC= 40 degrees

Step-by-step explanation:

A diagram has been drawn and attached below.

OM bisects AOB into angles x and x respectively
ON bisects ∠BOC into angles y and y respectively
OP bisects ∠COD into angles z and z respectively.

Since ∠AOD is a straight line

x+x+y+y+z+z=180 degrees

$2x+2y+2z=180^\circ$

We are given that:

m∠MOP = 110°.

From the diagram

∠MOP=x+2y+z

Therefore:

x+2y+z=110°.

Solving simultaneously by subtraction

$2x+2y+2z=180^\circ$

x+2y+z=110°.

We obtain:

x+z=70°

Since we are required to find ∠BOC

∠BOC=2y

Therefore from x+2y+z=110° (since x+z=70°)

70+2y=110

2y=110-70

2y=40

Therefore:

m∠BOC= 40 degrees

3 0

3 years ago

There are a total of 91 students in a drama club and yearbook club. The drama club has 19 more students than the yearbook club.

jasenka [17]

91+ 19
Answer: 110
This is what the answer is :)

7 0

3 years ago

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Answer the question above with the choices below.

worty [1.4K]

Answer:

${(x - 8)}^{2} + {(y - 10)}^{2} = 81$

${(x + 7)}^{2} + {(y - 8)}^{2} = 9$

${(x - 8)}^{2} + {(y - 10)}^{2} = 9$

${(x + 8)}^{2} + {(y + 9)}^{2} = 9$

Step-by-step explanation:

use circle equation and plug in the centers and radis.

4 0

3 years ago

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