There are two answers to this question
the first possible answer is 5, 6, and 7 and the second possible answer is -4, -3, and -2
Step-by-step explanation:
let the three numbers be (x-1), x, and (x+1)
the product of the smallest and largest number is 17 more than 3 times the middle number, or
(x-1)(x+1) = 3x+17, or
x^2-1 = 3+17, or
x^2-3x-18 = 0
(x-6)(x+3) = 0
So x = 6 or -3
Then just subtract one and add one to get the other integers. the three numbers are 5, 6, and 7 or -4, -3, and -2
Answer:
approx. 9.06 for one pound
Step-by-step explanation:
You need 16 tablespoons for 1 cup and 8 tablespoons for a half cup. Therefore you need to have 24 tablespoons of butter to make cake.
First, let's find out the number of minutes Emily has to get to school. From 8:25 to 8:50, there are 25 minutes.
Next, let's find out the number of minutes before Emily looks at her watch. From 8:25 to 8:28.50, there are 3.5 minutes.
Now let's calculate Emily's speed in miles per minute. To do so, divide the distance traveled by the time it took:

miles/minute
Now let's calculate how far Emily can travel in 25 minutes going this speed. To do so, we multiply her speed by the time traveled:

miles
5.357 miles is greater than 3.42 miles, so yes, Emily will make it to school on time.
Answer:
-2x² + 90x + 500
Step-by-step explanation:
Use FOIL method
Area of rectangle = length * width
= (50 - x)(2x + 10)
= 50*(2x) + 50*10 + (-x)*2x + (-x)*10
= 100x + 500 - 2x² - 10x
= -2x² + 10<u>0x - 10x </u>+ 500 {Combine like terms}
= -2x² + 90x + 500