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3 years ago

Use the three steps to solve the problem.

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

5 0

Answer:

Step-by-step explanation:

Let d be dimes

q represent quarters

d = q + 10

10d + 25q = 345 cents

Substitute for "d" and solve for "q";

10(q+10) + 25q = 345

35q + 100 = 345

35q = 245

q = 7

Since d = q+10, d = 17

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0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?

MakcuM [25]

Answer:

331776

Step-by-step explanation:

Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?

Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?

= 4? · 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288

Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912

We now find 3#

3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24

We now find 2#

2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 2# = 2?· 1? = 2 × 1 = 2

We now find 1#

1# = 1? · 1? = 1? · 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

And, 1# = 1? · 1? = 1 × 1 = 1

So, 4# · 3# · 2# · 1#? = 6912 · 24 · 2 · 1? = 331776

7 0

3 years ago

Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%. if c represents the cost

MissTica

Y = sallys grocerys
x = how much sally paid

y - (.05) = x

3 0

3 years ago

What is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?

never [62]

Answer:

5 2/5

Step-by-step explanation:

(2 1/4) / x = (1 1/2) / (3 3/5)

x = (2 1/4) * (3 3/5) / (1 1/2)

7 0

3 years ago

The equation of a circle whose center is (3,7) and whose radius is 6 is

Aleks [24]

The equation of any given circle is:
${(x - h)}^{2} + {(y - k)}^{2} = {r}^{2}$
where (h, k) is the center and r is the radius.

In the problem, we are given the center, and the radius. When we plug them in:
${(x - 3)}^{2} + {(y - 7)}^{2} = 36$
we got the formula of the circle.

4 0

3 years ago

X-4y=32 in slope intercept form

Alex777 [14]

Answer:

-4y = -x + 32

y = x/4 - 8

or y = (1/4)x - 8

Step-by-step explanation:

7 0

3 years ago