Answer:
if jack uses 10 cups of sugar he will need to use 6 tsp of vanilla extract
Step-by-step explanation:
10 devided by 2 1/2= 4
and 1/2 multiplied by 4 is 6
Step-by-step explanation:
Let x be the Width, and x+4 be the Length of the rectangle ; =>
Area = x*(x+4) = 60 ; =>
x^2 +4x - 60 = 0 ; Now solve the Quadratic equation using factoring to find x;
<h2>MARK ME BRAINLIEST!!</h2>
Step-by-step explanation:
Simple interest formula

Compound interest formula

a.

Simple interest is $125
b
. 
Compound interest is $125
c. the result for both a and b are the same
d.

the simple interest is $375
e
. ![A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385](https://tex.z-dn.net/?f=A%20%3D%205000%20%281%20%2B%20%5Cfrac%7B0.025%7D%7B1%7D%29%5E%7B1%2A3%7D%5D%20%5C%5CA%3D5000%281.025%29%5E3%20%5C%5CA%3D5000%281.077%29%5C%5CA%3D%205385)
the compound interest is $385
f. the result compared, compound interest is $10 more than simple interest
g.

the simple interest is $600
h.
![A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869](https://tex.z-dn.net/?f=A%20%3D%205000%20%281%20%2B%20%5Cfrac%7B0.02%7D%7B1%7D%29%5E%7B1%2A6%7D%5D%20%5C%5CA%3D5000%281.12%29%5E6%20%5C%5CA%3D5000%281.9738%29%20%5C%5CA%3D%209869)
the compound interest is $4869
i. the result from g and h, h is over 8 times bigger than g.
j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h
<h3>
Answer: 35 inches</h3>
Each side of the pentagon is multiplied by 5/3 to get the length of each new side, so the perimeter is multiplied by 5/3 to get the new perimeter.
New perimeter = (scale factor)*(old perimeter)
New perimeter = (5/3)*(old perimeter)
New Perimeter = (5/3)*(21)
New Perimeter = (5/3)*(21/1)
New Perimeter = (5*21)/(3*1)
New Perimeter = 105/3
New Perimeter = 35 inches
Answer: 5/4
Step-by-step explanation:
if two number have the same denominator, then the number with the greatest numerator is the greatest.
Basically if the bottom number of two fractions are the same, the bigger top number is the bigger number.