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2 years ago

Simplify by combining like terms. − 5 p + 4 m − 2 p + m

Mathematics

2 answers:

IrinaK [193]2 years ago

7 0

Answer:

-7p +5m

Step-by-step explanation:

− 5 p + 4 m − 2 p + m

Combine like terms

-5p -2p +4m +m

-7p +5m

Ainat [17]2 years ago

6 0

Answer:

-7p+5m

Step-by-step explanation:

See image below:) :)

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How many different 7-digit number plates can be made if the first 2 digits are letters and the last 5 digits are numbers, for ex

saw5 [17]

Answer:

We can use seven letters and numbers.

I am assuming that any numeral in the range 0..9 or any letter from the English alphabet A..Z can appear in any position, with no blank spaces allowed and no restrictions on repetition. I am also assuming that plates with fewer than seven letters and numbers are not allowed.

So, for example A879BX8 is acceptable, so are 5555555 and ABCDEFG, but not A.123.ZX or…..7A, where the dot represents a space.

I am also assuming that you can only use upper case letters.

With these restrictions, there are 36 possibilities for each space and the total number of valid number plates would be 36^7 = 78,364,164,096, let's say about 78 billion.

It is estimated that there are about 1.3 billion cars, trucks and buses in the road today. This number plate system therefore allows more than enough unique license plates. I'd even hazard a guess that it might be more than enough for every road vehicle that has ever been built or ever will be.

In practice there would be other restrictions, for example only letters in some positions and only numbers in others. There'd still be plenty to go around.

Step-by-step explanation:

5 0

2 years ago

Hannah buys ice cream and onions at the store

Snezhnost [94]

Answer:

x=5.12

Step-by-step explanation:

35.16= 4.44+6x

30.72=6x

5.12=x

x=5.12

Hope this helps :)

3 0

3 years ago

Simplify fully please

neonofarm [45]

Answer:

8x² + 8

Step-by-step explanation:

Given

(x² + 3)² - (x² - 1)² ← expand both factors using FOIL

= $x^{4}$ + 6x² + 9 - ( $x^{4}$ - 2x² + 1) ← distribute by - 1

= $x^{4}$ + 6x² + 9 - $x^{4}$ + 2x² - 1 ← collect like terms

= 8x² + 8

8 0

3 years ago

Read 2 more answers

According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o

Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$