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alina1380 [7]
2 years ago
14

A fast-food restaurant offers 7 different burgers, 5 different side orders, 8 different flavor drinks, and 8 different flavors o

f ice cream. in how many ways can a combo containing 3 burgers, 2 different sides, 3 different flavor drinks, and 2 ice cream flavors be made?
Mathematics
1 answer:
givi [52]2 years ago
8 0
548800.
Use the fundamental counting principle and combinations formula to find the total possibilities. use combinations to find the combos then multiply each set of possibilities together.

7 nCr 3 = 35 hamburgers combo possibilities.
5 nCr 2 = 10 sides combo possibilities
8 nCr 3 = 56 drinks combo possibilities
8 nCr 2 = 28 ice cream combo possibilities

Multiply each possibility together to get total possibilities.
35*10*56*28 = 548800

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In ΔDEF, the measure of ∠F=90°, the measure of ∠D=66°, and EF = 32 feet. Find the length of FD to the nearest tenth of a foot.
Butoxors [25]

Answer:

14.2 ft

Step-by-step explanation:

tan 66° = 32/ FD

FD = 32 / tan 66° = 32 / 2.246 = 14.2

7 0
3 years ago
Hit 96 must play 3minutes of commercials for every 30 minutes of music played how many minutes of commercials must be played for
Vinil7 [7]

Answer:

21

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
When lines are parallel...
Otrada [13]

Answer:

1) Congruent

2) Supplementary

3) Congruent

4) Congruent

Step-by-step explanation:

1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.

3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.

3 0
2 years ago
What are the zero(s) of the function f(x)=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E%7B2%7D-36x%20%7D%7Bx-9%7D" id="TexFo
Contact [7]

Answer:

D

Step-by-step explanation:

The function will be zero when the numerator is equal to 0. So, set the numerator equal to 0 and solve:

0 = 4 {x}^{2}  - 36x

I will use the quadratic formula:

\frac{ 36  +  \sqrt{ {36}^{2}  - 4(4)(0)} }{2(4)}  \\  \frac{  36 + 36}{8}  = 9

Therefore, x = 9 is a 0. Let's check with subtracted root now:

\frac{ 36   -    \sqrt{ {36}^{2}  - 4(4)(0)} }{2(4)}  \\  \frac{ 36  -  36}{8}  =  0

It appears 0 is also a root.

Therefore, the answer is D.

7 0
3 years ago
Solve the equation and check your answer. 0.95 t plus 0.05 left parenthesis 100 minus t right parenthesis equals 0.49 left paren
Triss [41]
<h2>Answer:</h2>

The value of t is:

                     t=48.8889

<h2>Step-by-step explanation:</h2>

We are asked to solve the linear equation in terms of variable t.

The equation is given by:

0.95t+0.05(100-t)=0.49(100)

Firstly we will solve the parentheses term in the left and right hand side of the equality as follows:

0.95t+0.05\times 100-0.05t=49

Now we combine the like terms on the left side of equality by:

0.95t-0.05t+5=49\\\\i.e.\\\\0.90t+5=49

Now we subtract both side of the equation by 5 to get:

0.90t=44

Now on dividing both side of the equation by 0.90 we get:

t=\dfrac{44}{0.90}\\\\i.e.\\\\t=48.8889

Hence, the value of t is:   48.8889

7 0
3 years ago
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