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sdas [7]
3 years ago
5

He access code for a​ car's security system consists of four digits. the first digit cannot be 8 and the last digit must be even

. how many different codes are​ available? the number of different codes available is nothing .
Mathematics
1 answer:
Naya [18.7K]3 years ago
7 0

There are 10 total numbers ( 0, 1, 2,3, 4, 5, 6, 7, 8, 9)

The first number cannot be an 8, so it can be 9 different numbers.

The second number can be any of 10 numbers.

The third number can also be any of 10 numbers.

The fourth number can only be even so it can be 0, 2 , 4, 6, 8, so any of 5 numbers.

To find the total combinations, multiply the available choices by each other:

9 x 10 x 10 x 5 = 4,500 different combinations.

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If you could please help, what is the missing answer?<br><br> Thank you to anyone who helps out!
ICE Princess25 [194]

Answer:

48

Step-by-step explanation:

let s be the snowman, g be the girl, and t be the christmas tree

2s+g=24

2t+2ts=132

3t+2g=26

subtract 2 times the first equation from the third one to get

3t-4s=-22

from the second equation we can deduce

2t(1+s)=132

t(1+s)=66

t=66/(1+s)

Substitute:

3(66)/(1+s)-4s=-22

3(66)/(1+s)=4s-22

3(66)=(4s-22)(1+s)

3(66)=-18s+4s^2-22

4s^2-18s-220=0

using the quadratic formula, we get s = 10, s = -5.5.

2(10)+g=24

g=4

2t(1+10)=132

2t=12

t=6

So 2s+t*g= 20+6*4=48

you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r

8 0
2 years ago
Please answer this multiple choice question for 27 points and brainliest!!
storchak [24]

Answer:

A

Step-by-step explanation:

The equation will be in the form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (2.5, 0) ← 2 points on the line

m = \frac{0-5}{2.5-0} = - 2

The line crosses the y- axis at (0, 5) ⇒ c = 5

y = - 2x + 5 or

y = 5 - 2x → A

5 0
3 years ago
My number is a multiple of 2 &amp; 7 my number is less than 100 but greater than 50 my number is the product of three prime numb
forsale [732]
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8 0
3 years ago
Find the area of the circle. Diameter = 12 mi<br><br> answer choice:<br> 36π mi<br> 144π mi
elena-s [515]

Answer:

36π mi

Step-by-step explanation:

Area of a circle = πr²

Diameter = 12 mi. Therefore, radius=12/2 = 6 mi

πr²

π x (6)²

π x 36

Hence, the answer is 36π mi

3 0
2 years ago
Read 2 more answers
Maggie's brother is three years younger than twice her age. The sum of their ages is 24 how old is maggie?
Vanyuwa [196]

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3x-3=24, we would add 3 to both sides (-3 and 24). 24 + 3 equals 27, we now have to divide -3x and 27 on both sides, which equals <u>9. (x=9)</u>



6 0
3 years ago
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