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3 years ago

Which is a simplified form of the expression 2(y + 1) + 2(y – 2)? A. 2y + 1 B. 4y – 2 C. 2y – 1 D. 4y – 3

Mathematics

2 answers:

ivanzaharov [21]3 years ago

6 0

Answer:

B) 4y-2

Step-by-step explanation:

2(y+1)+2(y-2)

2y+2+2y-4

2y+2y+2-4

4y+2-4

4y-2

NNADVOKAT [17]3 years ago

3 0

It’s B because when simplified it’s 2y+2+2y-4 then you add like terms and it becomes 4y-2 which is B

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What is the sum of the interior angles of the polygon shown below

DanielleElmas [232]

Answer:

720 degrees.

Step-by-step explanation:

The sum of the interior angles of a convex polygon with n sides is

180(n - 2) degrees.

In this case, n = 6 sides, so the angle sum is

180(6 - 2) = 180(4) = 720 degrees.

The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).

7 0

2 years ago

Latoya's annual salary is $26,000. A total of $7352.24 will be deducted for taxes and health insurance. She will receive her pay

Anna71 [15]

Step-by-step explanation:

Lets translate this word problem into math.

"Latoya's annual salary is $26,000" = We start with the number 26,000

"A total of $7352.24 will be deducted for taxes and health insurance" = It's the number we started with "deducted" (minus) 7352.24

"She will receive her paycheck monthly in 12 equal installments" = Our number will be divided by 12

"How much will she get paid with each paycheck?" = "Find answer pls thx"

To put it all together...

$\frac{26,000-7,352.24}{12}$

Now all we have to do is solve!

$\frac{26,000-7,352.24}{12}$

Subtract.

$\frac{18,647.76}{12}$

Divide.

$1,553.98$

Answer:

Latoya will get paid $1,553.98 with each paycheck.

7 0

2 years ago

Which equation gives the closest estimate of 692 – 343?

Oliga [24]

Answer:

350

Step-by-step explanation:

Nearest hundred: 300

Nearest whole number: 350

Hope this helped!

6 0

3 years ago

Keelah clothing store buys coats for $50 and then sells them for $80. What is the percent of markup on the price of the coat?

REY [17]

50*x=80 (x=percent in decimal form)

x=1.6 (divide both sides by 50)

Doubke check:

50*1.6=80

80=80

Convert 1.6 into a percent:

1.6 -> 160%

4 0

2 years ago

The population of Cuba is 1.3 million. The country's population is expected to grow at a rate of 4% each year.

Darya [45]

The population growth will be modeled using exponential growth:
f(x)=a(b)^t
where:
a=initial value
b=growth rate
thus plugging in the values we get:
f(x)=1.3(1.04)^t
thus the population after 10 years will be:
f(x)=1.3(1.04)^10
f(x)=1.9243
thus the population in 10 years will be:
1.9243 million

3 0

2 years ago