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scZoUnD [109]
2 years ago
8

perform the indicated operation write the answer with the correct number of significant digits 895.136 m + 276.51 m

Mathematics
1 answer:
Serggg [28]2 years ago
6 0

Answer:

1171.65 m

Step-by-step explanation:

895.136m  \:  +  \: 276.51m \\  = 1171.646 \: m \\ following \: manipulation \: rules \\ in \: addition \: we \: take \: the \: least \: number \: of \: decimal \: places \\  = 1171.65 \: m \: (6 \: significant \: figures)

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Let f(x)=(18)3^x. find the equation of the line between the points (-2,f(-2)) and (1,f(1))
horsena [70]

\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\

\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}]

6 0
2 years ago
A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total rece
olganol [36]

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student    

6

 

Adult    

9

 

1

,

506

 

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was  

5

 less than three times the number of student tickets sold.

Let  

s

 be the number of student tickets.

Then  

3

s

−

5

 is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student  

s

   

6

   

6

s

 

Adult  

3

s

−

5

   

9

   

9

(

3

s

−

5

)

 

1

,

506

 

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

6

s

+

9

(

3

s

−

5

)

=

1506

 

Step 5. Solve the equation.

6

s

+

27

s

−

45

=

1506

33

s

−

45

=

1506

33

s

=

1551

s

=

47

students

 

Substitute to find the number of adults.

3

s

−

5

=

 number of adults

3

(

47

)

−

5

=

136

 adults

Step 6. Check. There were  

47

 student tickets at  

$6

 each and  

136

 adult tickets at  

$9

 each. Is the total value  

$1506

?

 We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

47

⋅

6

=

282

136

⋅

9

=

1224

_____

 

1506

✓

 

Step 7. Answer the question. They sold  

47

 student tickets and  

136

 adult tickets.

5 0
3 years ago
Ten runners are in a race. how many different ways can they finish in 1st, 2nd and 3rd place?
Aleksandr [31]
The order of selection matters, therefore we need to find permutations:
The number of ways is found from 10P3.
10P3=\frac{10!}{7!}=10\times9\times8=720\ ways
3 0
3 years ago
Sims waist is 30 inches. He wants to put on more weight and is hoping to gain enough weight to increase his waist size by 8%. Ho
11Alexandr11 [23.1K]

Sim wants to increase his waist size to 32.4 inches.

<h3>How many inches does Sim want his waist to be?</h3>

Sim wants the increase to be 8% of 30 inches.

The amount of increase Sim wants in his waist size exists

8% × 30 inches.

= 0.08 × 30 inches.

= 2.4 inches.

Adding the wanted increase to his present size would create Sim's waist size to be

30 in + 2.4 in = 32.4 inches.

Sim wants to increase his waist size to 32.4 inches.

Therefore, the correct answer is 32.4 inches.

To learn more about sizes refer to:

brainly.com/question/6285404

#SPJ9

8 0
1 year ago
What is X= degrees<br><br><br> look at the picture
Aleksandr [31]

Answer:

90

Step-by-step explanation:

6 0
3 years ago
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