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Mashutka [201]
3 years ago
11

2] The band has a ratio of boys to girls of 5 to 4. There are 171 students in the band.

Mathematics
1 answer:
dem82 [27]3 years ago
5 0

9514 1404 393

Answer:

  • There are 95 boys.
  • There are 76 girls.

Step-by-step explanation:

The fraction that is boys is 5/(5+4) = 5/9. That fraction of the total is ...

  boys = 5/9 × 171 = 95

Girls are the remainder:

  girls = 171 -95 = 76

There are 95 boys and 76 girls in the band.

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Sati [7]
Meters, yards are not in the metric system

3 0
3 years ago
Find the Exponential Regression using the table. Write the initial amount, common ratio, and equation for the table.
Triss [41]

Answer:

Initial temperature;

432.76

Common ratio;

-0.067

Equation;

y=432.76e^{-0.067x}

Step-by-step explanation:

In this scenario, the time in minutes represents the independent variable x while the temperature of the pizza represents the dependent variable y.

The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.

The Ms. Excel output is shown in the attachment below. To obtain the initial temperature we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.

6 0
3 years ago
Aunt Maggie’s car broke down on iterestate 10. Sams towing charges a $57 hoop up fee and $2.00 per mile towed. Reginas towing ch
lawyer [7]

Answer:

Both situations can be modeled using linear functions

The rate of change of the function that models Regina's towing charge is 2.5

The y-intercept of the functions that model both situations represents the hook up fee

Step-by-step explanation:

Let

x -----> the number of miles towed

y ----> the total charge in dollars

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

we have

Sam’s Towing

In this case the slope of the linear equation is equal to the unit rate

The unit rate is $2.00 per mile towed

so

The y-intercept is equal to the charge per fee

so

therefore

the linear equation is

Regina’s Towing

In this case the slope of the linear equation is equal to the unit rate

The unit rate is $2.50 per mile towed

so

The y-intercept is equal to the charge per fee

so

therefore

the linear equation is

Verify each statement

case 1) Both situations can be modeled using linear functions

The statement is true

See the explanation

case 2) The y-intercept of the function that models Sam's Towing charges is 2

The statement is False

The y-intercept of the function that models Sam's Towing charges is $57

case 3) The rate of change of the function that models Regina's towing charge is 2.5

The statement is true

See the explanation

case 4) The y-intercept of the functions that model both situations represents the hook up fee

The statement is true

See the explanation

case 5) The rate of change of the functions that model both situations represent the miles traveled per hour

The statement is False

The rate of change of the functions that model both situations represent dollars by mile towed

8 0
3 years ago
Round your answer to the nearest hundredth.
Dmitry_Shevchenko [17]

tan 35 = BC / 2

0.700 = bc/2

bc = 1.4

3 0
2 years ago
Read 2 more answers
Complete this activity. Mr. Home buys two quarts of ice cream, one carton of soda, and three sacks of cookies for a Sunday Schoo
makkiz [27]

Answer:

1300

Step-by-step explanation:

add 60x2+70+45x3

get 325

multaply times 4 because he gets this stuff then goes back and gets it 3 more times

get 1300

4 0
3 years ago
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