When you look at this problem you have to think, how many teaspoons do you need for 1 cupcake so you would divide 3 by 15 and get .....
Answer:
340 degrees
Step-by-step explanation:
So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).
So the circumference of a circle = 2pi(r)
This means:
6 = 2pi(r)
Which means that
r = 6/2pi or r = 3/pi
Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:
Arc length is defined by: length = θr
Where θ is our angle value.
So lets plug in:
Multiply by pi to get:
Divide by 3 to get that:
θ = 17pi/9
So if we convert that from radians to degrees we get 340 degrees.
Answer: 28
Step-by-step explanation:
Let the number of balloons that she had last party be represented by x.
Since Mrs.Hines has 40 ballons for a party which was 12 more balloons than she had for her last party. The number of ballons had last party will be formed into an equation as:
x + 12 = 40
Collect like terms
x = 40 - 12
x = 28
She had 28 balloons last year
Answer:5 + /- sqrt35
Step-by-step explanation:
Rearranging, we get x^2 -10x -10=0
Applying the quadratic formula,
(10 +/- sqrt(10^2 -4*-10))/2
(10+/- 2sqrt35) /2 = 5 + /- sqrt35 as the two roots.
Answer:
<u>72 pounds of cat food will feed the cat for 192 days</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Amount of cat food the cat eats every day = 3/8 pound
2. For how many days 72 pounds of this cat food feed the cat ?
72 pounds = 576/8 pounds
Now we use this equivalent fraction to calculate the number of days, this way:
576/8 ÷ 3/8 = 576/8 * 8/3 (using the multiplicative inverse)
576/8 * 8/3 = 576/3 = 192
<u>72 pounds of cat food will feed the cat for 192 days</u>
