Answer:
Option B is correct
36 pizzas were topped with vegetables
Step-by-step explanation:
Let x be the number.
As per the statement:
At a pizzeria, the ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday.
The ratio of pizza topped with meat to pizzas topped with vegetables = 4 : 3
then;
the number of pizza topped with meat = 4x
and
the number pizza topped with vegetables = 3x
It is also given that the pizzeria made a total of 84 pizzas that day.
Substitute the given values we get;
Combine like terms;
Divide both sides by 7 we get;
12 = x
The pizza were topped with vegetables = 3x = 3(12) = 36
therefore, 36 pizzas were topped with vegetables
Answer:
The dimensions that minimize the surface are:
Wide: 1.65 yd
Long: 3.30 yd
Height: 2.20 yd
Step-by-step explanation:
We have a rectangular base, that its twice as long as it is wide.
It must hold 12 yd^3 of debris.
We have to minimize the surface area, subjet to the restriction of volume (12 yd^3).
The surface is equal to:
The volume restriction is:
If we replace h in the surface equation, we have:
To optimize, we derive and equal to zero:
![dS/dw=36(-1)w^{-2} + 8w=0\\\\36w^{-2}=8w\\\\w^3=36/8=4.5\\\\w=\sqrt[3]{4.5} =1.65](https://tex.z-dn.net/?f=dS%2Fdw%3D36%28-1%29w%5E%7B-2%7D%20%2B%208w%3D0%5C%5C%5C%5C36w%5E%7B-2%7D%3D8w%5C%5C%5C%5Cw%5E3%3D36%2F8%3D4.5%5C%5C%5C%5Cw%3D%5Csqrt%5B3%5D%7B4.5%7D%20%3D1.65)
Then, the height h is:
The dimensions that minimize the surface are:
Wide: 1.65 yd
Long: 3.30 yd
Height: 2.20 yd
Answer:
1519 pens
Step-by-step explanation:
add 9,645 to 18,836 and then subtract that number from 30,000
Answer:
y=4.8710 is the missing value
Step-by-step explanation:
The first step in approaching this question is determining the exponential equation that models the set of data. This can easily be done in Ms.Excel application. We first enter the data into any two adjacent columns of an excel workbook. The next step is to highlight the data, click on the insert tab and select the x,y scatter-plot feature. This creates a scatter-plot for the data.
The next step is to click the Add chart element feature and insert an exponential trend line to the scatter plot ensuring the display equation on chart is checked.
The exponential regression equation for the data set is given as;
To find the missing y value, we simply substitute x with 2 in the regression equation obtained;
Interior angles are 180, so 180-70= 110.
Your answer is B.
