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1 year ago

Write your answer as a fraction or as a whole or mixed number. 27pts

Mathematics

1 answer:

statuscvo [17]1 year ago

4 0

What we know:

Bird feeder capacity: --> 2 4/5 cups
Samantha's scoop capacity: --> 7/10 cups

Lets first convert the mixed partial fraction --> improper fraction

--> for easier calculation

After Conversion:

Bird feeder capacity: --> 14/5 cups
Samantha's scoop capacity: --> 7/10 cups

To find how many scoops of birdseed will Samantha put into the feeder we must:

--> divide the total capacity by the scoop's capacity

--> find the number of scoops:

Solve:

$Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4$

Thus the total number of scoops that Samantha will put into the bird feeder is 4

Answer: 4

Hope that helps!

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On a compass, due east is a 1/4 turn clockwise from due north. How many degrees are in a 1/4 turn?

vladimir2022 [97]

Answer:

$90^o$

Step-by-step explanation:

We have been given that on a compass, due east is a 1/4 turn clockwise from due north.

Since we know that a compass is in form of a circle and the measure of degrees in a circle is 360 degrees.

To find the number of degrees in a one-fourth turn, we will divide 360 by 4.

$\text{Number of degrees in a 1/4 turn of compass}=\frac{360^o}{4}$

$\text{Number of degrees in a 1/4 turn of compass}=90^o$

Therefore, there are 90 degrees in a 1/4 turn of compass.

4 0

3 years ago

Read 2 more answers

The varsity basketball team started selling T-shirts online in 1994. The number of T-shirts sold online, s, is modeled by the gr

-Dominant- [34]

(PART-A): s-intercept in this case represents the y-intercept of the graph, whereas the t-intercept in this case represents the x-intercept of the graph.

Always remember that y-intercept represents the value of y where the curve (or line) crosses the y-axis, and x-intercept represents the value of x where the curve (or line) crosses the x-axis.

In the graph attached with the question, at point (0,6) the curve crosses the y-axis. Therefore, the y-intercept (s-intercept) in this case is 6. It means that in year 2000 (t=0), 6 hundred shirts were sold.

However, there is no point on the graph where the curve crosses the x-axis, meaning there is no x-intercept (t-intercept). It means that there is not a single year when the number of shirts sold is 0.

(PART B): As you can see in the graph (attached with the question) that the f(t) is increasing (exponentially) with the increase in t. Therefore, we can safely say that as t increases without bound, the f(t) increases (also). In this context, it means that the sale of shirts increases as the years go by. Hence, the correct blank is "increases."

(PART C): The average rate of change is actually the slope. To find the slope, we can use the following formula:

slope = $\frac{y_2 - y_1}{x_2 - x_1}$ --- (X)

Given points: (5, 12.5) and (7, 22). Plug the values in equation (X),

slope = $\frac{22-12.5}{7-5} = 4.75$

Hence, the average rate of change for the function between t=5 and t=7 is 4.75 (answer).

(PART D): This part is bit tricky. Therefore, read the explanation carefully!

You can see in the graph that number of Shirts sold is in hundreds. It means that 1 unit (of y-axis in a graph) represents 100 shirts. Therefore, as in the question it is mentioned that there are 1000 T-shirts sold, it will become 10 units (since 10*100 = 1000). So, the function g(t) will become the following:

$g(t) = f(t) + 10$ --- (Y)

Why did I add f(t)? Because in the question, the word "and" is underlined. It means that g(t) represents not only 1000 T-shirts (10*100 = 1000) sold at the basketball games each year, but it also has the number of T-shirts sold ONLINE, which is f(t).

Now insert f(t) in (Y) and solve:

$g(t) = f(t) + 10\\g(t) = (1.5)^t + 5+ 10\\g(t) = (1.5)^t + 15$