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Rama09 [41]
3 years ago
7

barons "A salad bar has 7 ingredients, excluding the dressing. How many different salads are possible where two salads are diffe

rent if they don't include identical ingredients?"
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer: 128

Step-by-step explanation:

Given : Total ingredients =7

When we select any one of ingredient for salad, then total choices for each ingredient = 2 (Yes or No)

So for all 7 ingredients there will be 2\times2\times2\times2\times2\times2\times2=2^7=128 choices [By fundamental principle of counting]

Hence, there are 128 different salads are possible where two salads are different if they don't include identical ingredients

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pyramid A has a volume of 60mm and pyramid B has a volume of 937.5mm what is the ratio of the heights
dexar [7]

Answer:I think 0.4

Step-by-step explanation: Hope this helps

3 0
2 years ago
Milan deposited 4000 into an account with 5.4% interest, compounded monthly. Assuming that no withdrawals are made, how much wil
GREYUIT [131]

Answer:

<em>Milan will have $4701.73 in his account</em>

Step-by-step explanation:

<u>Final Value in Compound Interest</u>

The compound interest computes each interest earned in a period including the interest earned in the previous periods.

If an initial value or principal P is deposited into an account with an interest rate i, during n periods, the final value FV will be

FV=P(1+i)^n

If the interest is compounded monthly we must convert to the monthly equivalent:

\displaystyle i=\frac{5.4}{12\times 100}=0.0045

The period of investment must be expressed in months, thus

n=3\cdot 12=36

Now we find the final value

FV=4000(1+0.0045)^36=4701.73

Milan will have $4701.73 in his account

5 0
3 years ago
The seating capacity of a basketball stadium is 5,782. The seats are arranged in 24 sections of the same size. Any seats that ar
erica [24]

Divide capacity by sections:

5782 / 24 = 240.9167

The number of seats in each section is needs to be a whole number so there are 240 seats per section:

240 seats per section x 24 sections = 5,760 seats.

Priority seats is capacity - total section seats:

5782 - 5760 = 22

There are 22 priority seats

7 0
3 years ago
6(2x+1)+5=13-2 +4x+8x
nexus9112 [7]
This Equation is true because both sides are equal
5 0
3 years ago
What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) -4 = 0 as a quadratic equation?
laiz [17]

The substitution that should be used to rewrite the equation is u = x+5, the correct option is A.

<h3>What is a Quadratic Equation?</h3>

The polynomials of the 2nd degree are called Quadratic Equations.

It has a general form as ax² +bx+c=0

To rewrite the expression as a quadratic equation  

6(x+5)² + 5(x+5)-4 = 0

=6(x+5)(x+5)+5(x+5)-4

=6(x² + 5x + 5x + 25)+5(x+5)-4

=6(x²+10x+25) + 5(x+5) - 4 = 0

=6x² + 60x + 5x + 150 + 25 - 4 = 0

=6x² + 65x + 171 = 0

This is the quadratic equation of the form ax² +bx+c=0

but if directly it has to be written in this ax² +bx+c=0 form , it can be written by substituting u = (x + 5)

6(x+5)² + 5(x+5)-4 = 0

6u²+5u-4 = 0

Therefore, the substitution that should be used to rewrite the equation is u = x+5, the correct option is A.

To know more about Quadratic equations

brainly.com/question/2263981

#SPJ1

4 0
2 years ago
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