Answer:
381 different types of pizza (assuming you can choose from 1 to 7 ingredients)
Step-by-step explanation:
We are going to assume that you can order your pizza with 1 to 7 ingredients.
- If you want to choose 1 ingredient out of 7 you have 7 ways to do so.
- If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so
- If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so
- If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so
- If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so
- If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so
- If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so
So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127 ways of selecting ingredients.
But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.
Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.
Therefore, there are 381 different types of pizza.
Answer:
Option A
Step-by-step explanation:
Suppose ∠I = 30° in ΔHIF,
∴ ∠F = 60°
Now consider the ΔGFH,
∠G = 90° and ∠F = 60°
∴ ∠GHF = 30°
Also in ΔGHI,
∠G = 90° and ∠I = 30°
∴∠GHI = 60°
∴ ΔGFH ≈ ΔGIH ≈ ΔHIF
Answer:
We conclude that the expression of the price p of a coat reduced by a 5% discount will be: 0.95 p
Step-by-step explanation:
Let 'p' be the original price
Discount = 5% = 0.05
The discount amount can be calculated by multiplying the original price by 5% or 0.05
Discount Amount = 5% × p
= 0.05 × p
= 0.05 p
Given that the price p of a coat reduced by a 5% discount.
Thus, the price after 5% discount can be calculated by subtracting the discount amount i.e. 0.05 p from the original price p.
Thus,
The expression of the price p after 5% discount = p - 0.05 p
= 0.95 p
Therefore, we conclude that the expression of the price p of a coat reduced by a 5% discount will be: 0.95 p
The smallest x coordinate means that we're looking for the leftmost point.
Visually, we can tell that it's point B.
To prove it, we know the x coordinate for B is 1. 1 is less than all other x coordinates (2, 5, and 6)
Final answer: B
Cost of one pretzel is $2.5 and cost of one ice cream is $4.5
Step-by-step explanation:
Let,
Cost of pretzel = x
Cost of ice cream = y
According to given statement;
the cost of a pretzel is $2 less than the cost of some ice cream.
x = y - 2 Eqn 1
five ice creams cost the same as nine pretzels.
9x = 5y Eqn 2
Putting value of x from Eqn 1 in Eqn 2
Dividing both sides by 4
Putting y=4.5 in Eqn 1
Cost of one pretzel is $2.5 and cost of one ice cream is $4.5
Keywords: linear equation, substitution method
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