Answer: 21 cups of shredded carrots.
Step-by-step explanation:
For every 9 cups of shredded carrots they use, they use 6 cups of sugar.
To use one cup of sugar therefore, the number of cups of shredded carrot is:
= 9/6
= 1.5 cups of shredded carrot
For every 1.5 cups of shredded carrot, a cup of sugar is used.
If they were to use 14 cups of sugar, they would therefore use:
= 14 * 1.5 cups of carrot
= 21 cups of shredded carrot
Answer:
66 mph or 88 mph (I'm a little stuck)
Step-by-step explanation:
Here's how I got this answer:
Conner has to travel 42 miles to get to work.
He left at 7:13 and needs to get to work before 9:30.
If he's going 11 mph for 22 miles, a little less than 2 hours have passed.
If we round up to 2 hours, he has about 15 minutes to get to work.
I multiplied by 22 (the amount of miles he still has left to go) by 2 and got 44. I then realized that would take about 30 minutes (too much time). I did the same thing again but instead I multiplied by 3 and got 66. This is where I got confused. I still can't decide whether the answer is 66 mph, or 88 mph.
(I got the 88 by multiplying 22 by 4.)
(Also, I typed about the same thing in the comments but then typed it out here, too. I would wait for someone else to answer the question or you could choose between the two of my answers and hope for the best haha. You could also email you teacher or someone that could help you!)
Answer:
5x + 4y = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x - 5y = 20 ( subtract 4x from both sides )
- 5y = - 4x + 20 ( divide all terms by - 5 )
y = 
x - 4 ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 
, thus
y = - x + c ← is the partial equation
To find c substitute (- 4, 3) into the partial equation
3 = 5 + c ⇒ c = 3 - 5 = - 2
y = - x - 2 ← in slope- intercept form
Multiply through by 4
4y = - 5x - 8 ( add 5x to both sides )
5x + 4y = - 8 ← equation in standard form
Answer:
the answer of the matrix is =b the second one
