Answer:
The dot product of (7,5) and (-5,4) is -15
Step-by-step explanation:
Given
(7,5) and (-5,4)
Required
Determine the dot product
Dot product is calculated using the following formula;

Let a = (7,5) and b = (-5,4);
The above formula becomes



Hence, the dot product of (7,5) and (-5,4) is -15
Answer: £20.
Step-by-step explanation:
Let the old price = £x
Percent increase. = 10%
Increment. = 10% of £x
= 10x/100
Now new price = £22
To determine the old price we have
x + 10x/100. = 22
We now multiply everything by 100 to make it a linear expression
100x + 10x = 2200
110x = 2200, therefore
x. = 2200/110
= £20
Therefore, the price before the increase. = £20.
Answer:
<u>24 pieces</u> of fruits are use to make 2 fruit salads.
Step-by-step explanation:
Given:
Ken uses 6 apples and 2 bananas to make a fruit salad. He put twice as many oranges as bananas in the salad.
Now, to find the number of pieces of fruit Ken will use to make 2 fruit salads.
So, pieces of fruits use to make a salad are:
Apples = 6.
Bananas = 2.
Oranges = twice of bananas = 2×2=4.
So, total pieces of fruits to make a salad = 
Now, total pieces of fruits to make 2 fruit salads:



Therefore, 24 pieces of fruits are use to make 2 fruit salads.