Put the event number at the bottom where it say event
Answer:
that is 6 and 5/ 12 cups of flour are required
Step-by-step explanation:
total number of cups required to make a loaf of bread
= 3 + ¾
making their denominators equal and that to 4
= 12/ 4 + 3/ 4
adding numerators
= (12 + 3)/ 4
= 15/ 4
total cups of flour required to make pretzels
= 2 + ⅔
making their denominators equal and that to 3
= 6/ 3 + 2/ 3
adding nunerators
= (6 + 2)/ 3
= 8/ 3
Total cups required:-
= 15/ 4 + 8/ 3
taking lcm of denominators to make the fractions equivalent
= {(15 × 3) + (8 × 4)}/ 12
= {45 + 32}/ 12
= 77/ 12

<em>that is 6 and 5/ 12 cups of flour are required</em>.
Answer:
Ryan's new employer has offered him a few insurance plans as part of his employee benefits package.
Step-by-step explanation:
Ryan is working as deputy manager in a company. He currently has salary and there are no additional benefits. He is currently having only health insurance. When he joins the new company he gets few insurance plans as part of employee benefit packages. This is additional benefits which attracts a candidate to join a company and it keeps the employees motivated.
Answer:
-1
Step-by-step explanation:
This all comes down to the substitution. I am assuming that (4x2) is meant to be 4x^2 so I will solve as that.
4(-2)^2 = 4(4) = 16
4(-2) = - 8
-2(3)^2 = -2(9) = -18
3(3) = 9
16-8-18+9= -1
Mike has 78 feet of fencing available for his garden, this is the perimeter (P) of the rectangle:
Perimeter: P=78 feet
The formula of Perimeter is:
P=2(W+L), where W is the width and L is the length, then:
P=78→2(W+L)=78
Dividing both sides of the equation by 2:
2(W+L)/2=78/2
W+L=39
If the shape is of a golden rectangle, we know:
L=1.6W
Replacing this above:
W+1.6W=39
Adding similar terms:
2.6W=39
Solving for W
2.6W/2.6=39/2.6
W=15 feet
L=1.6W=1.6(15)→L=24 feet
Answer: T<span>he dimensions of the garden are: Width=15 feet and Length=24 feet. </span>