Answer:
30
Step-by-step explanation:
Since the question says that it took her 45 minutes per hour, you can use that to find the distance of the route she took.
45 miles: 60 minutes
15 miles: 20 minutes ----------------cross multiply (20x45 and then divide by 60)
Therefore, if she is going to use the same route in reverse, the distance would be 15 miles.
Use the formula for speed:
speed= distance/time
= 15/0.5 ---------- 0.5 hours is the same as 30 minutes
= 30
Answer:
See the attachment for a plot
Step-by-step explanation:
I find it convenient to plot lines using their x- and y-intercepts, when those are integers. To find the intercepts, we can divide the equation by the constant on the right:
x/10 +y/5 = 1
This is "intercept form". The denominator in each term is the corresponding intercept:
the x-intercept is 10, point (10, 0)
the y-intercept is 5, point (0, 5)
We can choose another value of y to find a third solution. Let y=2. Then we have ...
-x -2(2) = -10 . . . . . put 2 for y in the original equation
-x = -6 . . . . . . . . . . add 4
x = 6 . . . . . . . . . . . . multiply by -1
A third point is (6, 2)
Step-by-step explanation:
(3x + 2y =19)(3)
-9x + 8y =-29
9x + 6y = 57 <em><u>NOTE</u></em><em><u>:</u></em> we cross here 9x in first
-9x + 8y = -29 we cross here - 9x in second
Since 9x and - 9x are opposite
___________
6y +8y = 57 - 29
14y = 28
Y=28/14
Y=2
Replace y in second equation of this system:
-9x + 8y = - 29
-9x +8(2)= - 29
-9x + 16 = - 29
-9x = -29 - 16
-9x = - 45
X= -45/-9
X=5
Hope this helps..
I graphed it by starting with the coordinate of (-6,7).
Answer:
3.5kg
Step-by-step explanation:
Let original weight of grapes in box be X and weight of grapes in basket be Y.
From the first sentence
X = 2Y (weight in box = 2 times weight in basket) --- (1)
If you add 2kg of grapes to basket, the weight of grapes in basket = Y + 2
From the second statement
Y + 2 = X + 0.5
Subtracting Y from the LHS gives 2 = X - Y + 0.5
Subtracting 0.5 from both sides gives 2-0.5 = X - Y or X - Y = 1.5 --- (2)
Substituting for X from the first equation in (2) we get
2Y - Y = 1.5 or Y = 1.5kg
But this is the original weight of the grapes in the basket. Since we have added 2 kg of grapes to the original weight, we get the weight of grapes in basket now as 1.5 + 2.0 = 3.5kg
