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Svetradugi [14.3K]
2 years ago
8

The basketball game at the high school started at 7:30 P.M. and ended at

Mathematics
1 answer:
jekas [21]2 years ago
5 0

Answer:

3 hours 8 minutes

Step-by-step explanation:

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The elevator in the Empire State Building can pass 80 floors in 45 seconds. How many floors can it pass in 9 seconds?
castortr0y [4]
\bf \begin{array}{ccll}
floors&seconds\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
80&45\\
f&9
\end{array}\implies \cfrac{80}{f}=\cfrac{45}{9}\implies \cfrac{80\cdot 9}{45}=f
7 0
3 years ago
What is the factored form of the expression 9x2 + 6x + 1?
DanielleElmas [232]

Answer:

(3x + 1)²

Step-by-step explanation:

Given

9x² + 6x + 1 ← is a perfect square of the form

(ax + b)² = a²x² + 2abx +  b²

Compare like terms to find a and b

a²x² = 9x² ⇒ a² = 9 ⇒ a = \sqrt{9} = 3

b² = 1 ⇒ b = \sqrt{1} = 1

and 2ab = 2 × 3 × 1 = 6

Thus

9x² + 6x + 1 = (3x + 1)²

4 0
3 years ago
Henry is up for retirement after 35 long years at his pharmacy. Before retiring, he would like to know how much he would receive
satela [25.4K]

To find how much Henry can expect to receive from Social Security on a monthly basis, we first need to find how much he cant expect to receive from social security per year.

We know form our problem that Henry averaged an annual salary of $45,620, so to find how much can Henry expect to receive from Social Security per year, we just need to find the 42% of $45,620.

To find the 42% of $45,620, we are going to convert 42% to a decimal by dividing it by 100%, and then we are going to multiply the resulting decimal by $45,620:

\frac{42}{100} =0.42

Social security annual payment = (0.42)($45,620) = $19,160.40

Since there are 12 month in a year, we just need to divided the social security annual payment by 12 to find how much he can expect to receive each month.

Social security monthly payment = \frac{19,160.40}{12} = $1.596.70

We can conclude that Henry can expect to receive $1.596.70 monthly from Social Security.

3 0
2 years ago
Read 2 more answers
The histogram shows the number of yards gained on first downs. How many times did the team gain at least 6 yards on first downs?
BabaBlast [244]

Answer:

8 times

Step-by-step explanation:

Given

The attached histogram

Required

The number of times the team gain at least 6 yards

From the question, the entry that fall in the category of at least 6 yards are:

6\ to\ 8, 9\ to\ 11 and 12\ to\ 14

Their frequencies are:

5, 2 and 1 respectively

So, the number of times is:

Times = 5 + 2 + 1

Times =8

4 0
2 years ago
Read 2 more answers
((4-x)/5)+((x+2)/3)=6 Please Help Soon
Vlada [557]

Answer:  x = 34

Step-by-step explanation:

⁴ ⁻ˣ/₅ + ˣ + 2/₃ = 6

Now resolve into fraction and convert to a linear equation

4 - x /₅ + x + 2/₃ = 6

3( 4 -x ) + 5( x + 2 )/15 = 6

3( 4 - x ) + 5( x + 2 )    = 6 x 15

12 - 3x + 5x + 10         = 90

        2x + 22              = 90

                             2x  = 90 - 22

                             2x  = 68

                                x = 34

4 0
2 years ago
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