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Troyanec [42]
2 years ago
14

Victoria has a two pound package of flower she uses 2/5 of the flour to make a pizza. She then used 3/10 of the remaining flour

to make bread. find the weight of the package of flower that she has left
Mathematics
1 answer:
Annette [7]2 years ago
4 0
You want to find out how much flour she used first. In order to do that, you want to convert all your givens, into the same denominator so you can add them together.

For 2/5, multiply the top and the bottom by 2.
2/5 = 4/10 she uses for pizza.

3/10 already has the same denominator, so we can add them together.

4/10 for pizza + 3/10 for bread = 7/10 already used.

1- 7/10 = 3/10 left
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Olenka [21]
The opposite angles of a parallelogram are congruent, so you have to set the values of each angle equal to each other and solve for x.

(10x-19)° = (7x+23)°
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Then, substitute the value of x back into the equations.
(10x-19)°
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8 0
2 years ago
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 <em>y-intercept (s-intercept) in this case is 6</em>. 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 <em>no x-intercept (t-intercept)</em>. It means that there is <em>not</em> 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 <em>f(t)</em> is increasing (exponentially) with the increase in <em>t. </em>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 <em>hundreds. </em>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 "<em>and</em>" 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

Hence, g(t) is (1.5)^t + 15

8 0
3 years ago
Read 2 more answers
Find all real square roots of −81 .
Lilit [14]
There are no real roots for a negative number, so -81 has no real roots, if the number is 81 however, then the tow roots are 9
3 0
3 years ago
What inverse operation should be used to isolate the variable in the equation p − 20 = 50?
shutvik [7]

addition since inverse means opposite

3 0
3 years ago
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Find two consecutive even integers such that twice the smaller is 16 more than the larger
drek231 [11]
<u>Define x:</u>
Let one of the numbers be x.
The other number is x + 2

<u>Construct equation:</u>
<span>twice the smaller is 16 more than the larger
</span>⇒2x = x + 2 - 16

<u>Solve x:</u>
2x = x + 2 - 16
x = -14

<u>Find the two numbers:</u>
Smaller number = x = -14
Larger number = x + 2 = -12

Answer: The two numbers are -14 and -12
6 0
2 years ago
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