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3 years ago

Use expressions for odd integers to confirm the conjecture that the product for two odd integers is an odd integer.

1 answer:

5 0

2n + 1 et 2n + 3 are two odd integers with n integer
(2n+1)(2n+3) = 4n² + 8n + 3 =2(4n² + 4n) + 3
2(4n² + 4n) is an even integer so 2(4n² + 4n) + 3 is an odd number
because the sum of an even number and an odd number is an odd number.

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n a jar of coins, the ratio of nickels to dimes is 5:7. If the jar contains 350 dimes, how many nickels are there?

irina1246 [14]

Answer:

250 nickles

Step-by-step explanation:

Nickles and dimes are coins with different currency values. One nickel(N) is equal to 5 cents while one dime(D) is equal to 10 cents. The ratio of nickel:dime is 5:7, to put into the equation it will be:

N/D= 5/7

7N=5D ---> 1st equation

There are 350 dimes, the equation will be:

D=350 ----> 2nd equation

We can find out the number of nickels by substitute the 2nd equation into the first. The calculation will be

7N=5D

N= 5D/7

N=5(350)/7

N= 250

4 0

4 years ago

A pizza chain wants to send codes for $2 off a large pizza to the subscribers of its e-mail list. Each coupon code will have thr

kati45 [8]

Answer:

438,012 ways.

Step-by-step explanation:

We have been given that each coupon code will have three letters followed by two digits. The letters M, N, and O and the digits 1, 3, 5, and 7 will not be used. So, there are 23 letters and 6 digits that will be used.

Since the letters and digits can be repeated, so we will use fundamental principal of counting.

For first place, we can use 23 letters, for 2nd and 3rd place we can use 23 letters.

We can use 6 digits for 1st digit place and 6 digit for 2nd digit place as repetition is allowed.

So we can choose coupon code is following ways:

$23\cdot 23\cdot 23\cdot 6\cdot 6=438012$

Therefore, we can choose coupon codes in 438,012 ways.

3 0

3 years ago

Factor 15x3 – 5x2 + 6x – 2 by grouping

Tanzania [10]

5x2(3x-1)+2(3x-1)factoring furhter gives(5x2+2)(3x-1)

8 0

3 years ago

A math teacher keeps her wall-sized graph paper in a box shaped like a triangular prism. The triangular face of the prism has a

yaroslaw [1]

(24 × 17 × 130\2)

24 × 17 = 408 x 130 = 53,040 / 2 = 26,520
So the volume of this box is

C= 26,520 cm^3

6 0

2 years ago

The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the United States from birth to

Mariana [72]

Answer:

The answer to your question is The cost to raise a child from birth to 17 years in a household is $194119.

Step-by-step explanation:

Equation

y = 1.55x + 110,419

Annual income = $54,000

To solve this problem just substitute the annual income and simplify to find the cost.

y = 1.55(54,000) + 110419

Simplify

y = 83700 + 110419

Result

y = $194119

3 0

3 years ago