Answer:
Mr. Mosey needs 9/2 cups of cocoa to make a 32 serving cake.
Step-by-step explanation:
For an 8 serving cake Mr. Mosey needs 3/4 cups of cocoa plus 3/8 cups of cocoa because he wants it to taste better. Then, for an 8 serving cake he needs:
Cocoa (8 serving cake)=3/4+3/8= 9/8 cups
But, he needs to make a cake that serves 4 times as many people, then he need a 32 serving cake (8*4=32). What we do is to multiply the above formula times 4:
Cocoa (32 serving cake)= 4(3/4+3/8)= 36/8 cups= 9/2 cups
He needs 9/2 cups of cocoa to make a 32 serving cake.
Answer:
10/24 x 25/8 = 250/192
In simplest form, it is 125/96
Step-by-step explanation:
Please make me brainliest. :D
Answer:
468.4 meters
Step-by-step explanation:
Find the width of the rectangle.
The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.
A=length*width
8,400=140*width
60= width
Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a circle, the perimeter of the two semicircles is equal to the circumference of one circle.
The circumference of a circle is equal to pid, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.
So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.
≈188.4
(2 times 140)+ 188.4
So, the perimeter of the track is 468.4 meters.
Answer:
y = 40x
Step-by-step explanation:
Given - Alex walks from her home to the bus stop at a rate of 40 steps per minute.
To find - Write a rule they gives her from home in steps as a function of time after she leaves her home.
Proof -
The function will be a linear function.
The linear function is in the format of y(x) = mx + c
Let x be the total minutes
y be the total steps
So, the rule becomes
y(x) = 40x + 0
⇒y = 40x
As she walks 40 steps in 1 minutes
So, rate of change will be 40 and constant term will be 0.
Answer:
15
Step-by-step explanation: