Answer: 35
Step-by-step explanation:
Given : At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special.
The number of choices for sandwiches = 5
The number of choices for salad = 4
The number of choices for soup = 3
Now, the number of possible lunch special combinations can be ordered will be :-
Hence, the number of possible lunch special combinations can be ordered will be 35.
Answer: 
Step-by-step explanation: Given expression 
.
The first factor 
has a degree of : 2 because power of a is 2.
The second factor 
has a degree of : 3 because power of a is 3.
The third factor 
has a degree of : 2 because highest power of a is 2.
Let us multiply them now:
First we would multiply 
.
According to product rule of exponents, we would add the powers of a.
Therefore,
Now, we need to distribute 
over
Therefore,
=
Highest power of resulting polynomial is 7.
Therefore, The product has a degree of 7.
Answer: 84 people
Step-by-step explanation:
From the question, 240 people are going to a charity event and 3/5 of the guests have ordered chicken for their meals. This means (3/5 × 240) = 144 people ordered chicken. Since 144 people have ordered, the number of remain people left will be:
= 240 - 144
= 96 people.
Out of the remaining guests which is 96, 12.5% have ordered gluten free meals. This means (12.5% × 96) = 12 ordered gluten free meals.
The people who haven't ordered their meals yet will be:
= 96 - 12
= 84 people.
Answer:
slope 3/5
Step-by-step explanation:
3x − 5y − 6 = 0
To find the slope, we want to solve for y
(y = mx+b slope intercept form of the equation(
Add 5y to each side
3x − 5y+5y − 6 = 0+5y
3x-6 = 5y
Divide by 5
3/5x -6/5 = 5y/5
3/5 x -6/5 = y
The slope is 3/5 and the y intercept is -6/5
(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.
Answer: D. 41 cm
There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,
a^2+b^2 = (b+1)^2
a^2 + b^2 = b^2 + 2b +1
a^2=2b+1
So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.
b = (a^2 - 1)/2
a=3, b=(3^2-1)/2=4, c=b+1=5
a=5, b=(5^2-1)/2 =12, c = 13
a=7, b=24, c=25
a=9, b=40, c=41
a=11, b=60, c=61
a=13, b=84, c=85
It's good to be able to recognize Pythagorean Triples when we see them.
Otherwise we'd have to work the calculator:
√(9² + 40²) = √1681 = 41
