Answer:
The required number is 7.
Dividing by this gives the perfect square 676.
Step-by-step explanation:
Finding the prime factors:
2) 4732
2) 2366
7) 1183
13)169
13
So 4372
= 2^2 * 7 * 13^2
= 4 *169 * 7
= 676 * 7
Now 676 is a perfect square so the answer is 7.
= 1283 * 4.
Answer is 1283.
If you divide $6.00 by 120, you come up with 5 cents per mile. So the slope of the line (m) would be 0.05, or 1/20.
We also know that it costs $40.00 at 100 miles, so when x=100, y=40. If you multiply 100 by 0.05 you get 5, which means the rate goes up $5.00 for every 100 miles. So if you take your original y=40 ($40.00 for 100 miles) and subtract 5, that means y=35 for 0 miles, and that gives you your zero-intercept (b).
So your equation would be y = 1/20x + 35
Now, if x = 300 miles, then
y= 1/20*300 + 35
y = 15 + 35
y = 50, therefore it would cost $50.00 to drive the rental car 300 miles.
Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
x + 2y = - 6 → (1)
3x + y = 2 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the term in y
- 6x - 2y = - 4 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 10 ( divide both sides by - 5 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
2 + 2y = - 6 ( subtract 2 from both sides )
2y = - 8 ( divide both sides by 2 )
y = - 4
Solution is (2, - 4 )
In this question, every cups will be filled with 4 ounces yogurt. That mean, the lowest possible of the cups weight would be 4 ounces. After that the customer can the topping without exceeding 6 ounces of total weight. Since it total weight, that means from the 6 ounces there should be 4 ounces of yogurt. Then the maximum weight is 6 ounces
Minimum weight is 4 ounces and maximum weight is 6 ounces, so the answer would be 4,5,6 or any number between 4-6
Answer:
The biggest difference is between fruit juice and lemonade ($0.6).
Step-by-step explanation:
Giving the following information:
items:
fruit juice. $0.89
iced tea. $1.29
lemonade. $1.49
pretzel. $2.50
popcorn. $1.25
First, popcorn and pretzel are not beverages.
<u>Now, we need to find the differences in prices between each beverage and determine the greatest:</u>
Fruit juice to ice tea= 0.89 - $0.4
Fruit juice to lemonade= 0.89 - 1.49= $0.6
Ice tea to lemonade= 1.29 - 1.49= $0.2
The biggest difference is between fruit juice and lemonade ($0.6).
