At a pizzeria, the ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday. The pizzeria made a to
2 answers:
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 correct answer is option B.
Step-by-step explanation:
The ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday.
Let the pizza's topped with meat be 4x
Let the pizza's topped with vegetable be 3x
Total pizzeria made a Saturday = 84
4x + 3x = 84
7x = 84
x =
Pizza's topped with meat = 4x = 4 × 12 = 48
Pizza's topped with vegetable = 3x = 3 × 12 = 36
12 pizzas were topped with vegetables.
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Answer:
Largest possible length is <em>21 inches</em>.
Step-by-step explanation:
Given:
Total material available = 60 inches
Length to be 3 more than twice of width.
To find:
Largest possible length = ?
Solution:
As it is rectangular shaped frame.
Let length = inches and
Width = inches
As per given condition:
..... (1)
Total frame available = 60 inches.
i.e. it will be the perimeter of the rectangle.
Formula for perimeter of rectangle is given as:
Putting the given values and conditions as per equation (1):
Putting in equation (1):
So, the answer is:
Largest possible length is <em>21 inches</em>.
Answer:
50.24 yards
Step-by-step explanation:
We will use the pythagorean theorem to find hypotenuse of each of the 4 triangles.
Pythagorean Theorem is
For Spinach area, two of the legs are 8 and 6. Solving for hypotenuse:
For watermelon area, two of the legs are 12 and 8. Solving for hypotenuse:
in red peppers area, the hypotenuse is already given as 15. But we need to find one leg since that will be the leg of the triangle in tomatoes area. Hypotenuse is 15 and one leg is 12, so the other leg is:
So, in tomatoes area, we have one leg 9 and another leg 6. Solving for hypotenuse:
Adding all the four hypotenuses, we get the length of the walkway:
Length of Walkway = yards
Answer:
Critical value: T = 1.337
The 80% confidence interval for the mean repair cost for the stereos is between $45.991 and $86.689
Step-by-step explanation:
We have the standard deviation for the sample. So we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 17 - 1 = 16
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.337, which is the critical value
The margin of error is:
M = T*s = 1.337*15.22 = 20.349
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 66.34 - 20.349 = $45.991
The upper end of the interval is the sample mean added to M. So it is 66.34 + 20.349 = $86.689
The 80% confidence interval for the mean repair cost for the stereos is between $45.991 and $86.689