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3 years ago

100 POINTS!!!

Mathematics

1 answer:

Brums [2.3K]3 years ago

7 0

Answer: x = 4

Step-by-step explanation:

2(x+1)=10

Distributive properties

a*(b+c)=(a*b)+(a*c)

Using distributive properties

Then

2*(x+1)=(2*x)+(2*1)

2*(x+1)=2x+2

Now, commutative properties

a*b=b*a

Addition is cumulative

a+(-b)=(-b)+a

Therefore applying to 2x+2

2x+2+(-2)=2x+(-2)+2

Then, applying to the equation

2x+2+(-2)=10+(-2), +×-=-

2x+2 -2=10-2

2x=8

Using division properties

ax=b

If a is none zero

Then ax/a=b/a

Therefore x=b/a

Applying that to 2x=8

2x=8. Divide both side by 2 which is none zero

2x/2= 8/2

x=4

Option B

Subtraction Property of equality

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The city of Raleigh has 9,200 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe

sukhopar [10]

Answer:

A) The population of this survey is the registered voters in the city of Raleigh.

B) 9500

C) 200

D) 0.325

E) 3088

Step-by-step explanation:

A) The population of this survey is the registered voters in the city of Raleigh.

B) Population size can be defined as the total number of individuals in a population. Here the total number of individuals are the registered voters in the city. Therefore the size of the population is 9500.

c) Sample size is defined as the number of individual samples in a statistical test. Here the sample size is the 200 randomly selected registered voters. It is denoted as "n".

d) The sample statistic for the proportion of voters surveyed who said they'd vote for Brown would be:

p' = voters for brown / sample size

$p' = \frac{65}{200} = 0.325$

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.325

E) The expected number of voters for Brown based on the sample:

0.325 * 9500 = 3087.5

Approximately 3088

The expected number of voters for Brown based on the sample might be 3088 voters.

7 0

3 years ago

Ted is a long distance driver. It took him 30 min longer to drive 275km on the Trans-Canada highway west of Swift Current, Saska

IRISSAK [1]

Speed traveling west = x - 10 km /hr

275 / ( x-10) - 300 / x = 1/2

275 *2x - 300 (x-10)*2 = ( x-10) *x

550x - 600x +6000 = x^2 -10x

x^2 +40x - 6000 = 0

( x -60) ( x+100) = 0

x = 60

ANSWER East = 60 km/ hr West = 50 km /hr

CHECK

300 /60 = 5 hours

275 /50 = 5.5 hours

7 0

3 years ago

Joe has 37 coins consisting of nickels, dimes, and quarters. There are four more nickels than dimes and two more quarters than n

astraxan [27]

Answer:

Step-by-step explanation:

Let n, d, q represent the numbers of nickels, dimes, and quarters. The problem statement tells us ...

n +d +q = 37

n = d +4

q = n +2

___

Rearranging the second equation gives ...

d = n -4

Substituting that into the first, we get ...

n + (n -4) +q = 37

2n +q = 41 . . . . . . . add 4 and simplify

Rearranging the third original equation gives ...

n = q -2

Substituting into the equation we just made, we get ...

2(q -2) +q = 41

3q = 45 . . . . . . . . add 4 and simplify

q = 15 . . . . . . . . . divide by 3

Joe has 15 quarters.

_____

<em>Check</em>

The number of nickels is 2 fewer, so is 13. The number of dimes is 4 fewer than that, so is 9. The total number of coins is 15 + 13 + 9 = 37, as required.

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3 years ago

Which expression represent, 3 times the sum of 7 and m.

Marina CMI [18]

D would be the answer.Since you are adding the sum first hence the parentheses.

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