Which number is not divisible by either of the numbers 3 and 5?

A particular state's license plates have 7 characters. Each character can be a capital letter, or a digit except for 0. How many

Ede4ka [16]

Answer:

N = 35 × 34^6

N = 54,068,154,560

Step-by-step explanation:

Given;

The license plate have 7 characters.

Each character can be a capital letter, or a digit except for 0.

There are 26 capital letters

And there are 9 digits excluding 0

The total number of possible entries in each character is;

26+9 = 35

The number of license plates in which no two adjacent characters are the same are;

For no two adjacent characters of the license plate not to be the same that is no two characters that follow each other can be the same, the number of possible entries in the adjacent characters apart from the first character would be reduced by one.

N = 35 × 34 ×34×34×34×34×34

N = 35 × 34^6

N = 54,068,154,560

Therefore, there are 54,068,154,560 possible license plates

8 0

3 years ago

090909091 as a fraction

const2013 [10]

0/9 would be the fraction

8 0

3 years ago

Michele was making tuna salad for a party. The recipe for 10 servings called for 8 oz of mayonnaise. A total of 240 people were

Anna007 [38]

1. Divide 240 by 10 = 24

2. Multiply 24 • 8 = 192

Michele will need 192 oz. of mayonnaise.

7 0

3 years ago

Read 2 more answers

Kinda want to cry right now.. Someone PLEASE help me.. I know there is someone out there smart enough.... 25 points and Brainlie

Svetlanka [38]

Answer:

a) Infinite solutions

b) No solutions

Step-by-step explanation:

First, know the following:

If the graphs intersect, there's only one solution.

If the graphs are parallel, there are no solutions.

If the graphs are the exact same line, there are infinite solutions.

For a):

Change the first equation into a linear one.

2x+3y=6

3y=-2x+6

$y=-\frac{2}{3} x+2$

Change the second equation into a linear one.

4x+6y=12
6y=-4x+12
$y=-\frac{2}{3} x+2$

Boom. You have two equations which are equal. As stated above, graphs on the exact same line have infinite solutions.

For b)

They are already in linear form so hurray.

$y=\frac{1}{5} x+2\\y=\frac{1}{5} x+10\\$

These lines are parallel since they have the SAME slope but a different y-intercept. As stated above, parallel lines have no solutions.

5 0

3 years ago

Look at the image please helppp

balu736 [363]

Answer:

Option A. one rectangle and two triangles

Option E. one triangle and one trapezoid

Step-by-step explanation:

step 1

we know that

The area of the polygon can be decomposed into one rectangle and two triangles

see the attached figure N 1

therefore

Te area of the composite figure is equal to the area of one rectangle plus the area of two triangles

so

$A=(8)(4)+2[\frac{1}{2}((8)(4)]=32+32=64\ yd^2$

step 2

we know that

The area of the polygon can be decomposed into one triangle and one trapezoid

see the attached figure N 2

therefore

Te area of the composite figure is equal to the area of one triangle plus the area of one trapezoid

so

$A=\frac{1}{2}(8)(4)+\frac{1}{2}((4+8)(8)=16+48=64\ yd^2$

7 0

3 years ago