Answer:
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: 
Given points: (3, -7), (7, 2)
(3, -7) = (x1, y1)
(7, 2) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
Simplify:
2 - (-7) = 2 + 7 = 9
7 - 3 = 4
The slope is .
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:
The y-intercept is 
.
Now that we know the slope and the y-intercept, we can write the equation:
Flour : sugar = (1/3) : (1/5) = 5 : 3 . . . . . . . . multiply the first ratio by 15 to eliminate fractions
The total of ratio units in the last representation is 5+3=8, so for a recipe of 16 cups, each ratio unit will stand for 16/8 = 2 cups.
Multiplying the ratio by 2 cups, we find Amanda will need
... 10 cups flour : 6 cups sugar
for her recipe.
Answer: 3.84
Step-by-step explanation:
If you time 6 by 0.8 you get 4.8 then you times 4.8 by 0.8 you get 3.84
Hope this helps :)
Answer:
The length of the four pieces of protective strip is 96 feet
Step-by-step explanation:
Let the w be the width of the rectangular house and L is length. Since L = w + 16, its perimeter P = 2(w + L)
= 2(w + w + 16)
= 2(2w + 16)
Since the perimeter of the house P = 136 feet,
136 = 2(2w + 16)
dividing through by 2, we have
136/2 = (2w + 16)
68 = (2w + 16)
collecting like terms, we have
68 - 16 = 2w
52 = 2w
dividing through by 2, we have
w = 52/2
w = 26 feet.
Now, since the side walk is 3 foot wide all around, the width of the house plus sidewalk = w + 3 and the length of the house plus sidewalk = L + 3 = w + 16 + 3 = w + 19.
So, the perimeter of the house plus sidewalk which is the perimeter of the four pieces of protective strip is P' = 2(w + 3 + w + 19)
= 2(w + 22)
= 2(26 + 22)
= 2(48)
= 96 feet
So, the length of the four pieces of protective strip is 96 feet.
ANSWER:
A
EXPLAIN:
Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be
273/6=45.5 g
1 ball=45.5 g
2 balls =2*45.5=91 g
3 balls =3*45.5=136.5 g
4 balls=4*45.5=182 g
5 balls =5*45.5=227.5 g
6 balls =6*45.5=273 g
