Answer:6
Step-by-step explanation:
We have three groups of cookies as follows:
24 oatmeal
36 vanilla bean
42 chocolate chip
If we breack down into factors we get
24 2 24 = 2³ * 3 36 2 36 = 2²*3³ 42 2 42 = 2*3*7
12 2 18 2 21 3
6 2 9 3 7 7
3 3 3 3 1
1 1
Fom where we can get that biggest common factor is 6
24 ÷ 6 = 4
36 ÷ 6 = 6
42 ÷ 6 = 7
Then Bakery will have 4 groups of oatmeal cookies, 6 of vanilla bean, and 7 chocolate chip
Answer:
The equivalent expression is 4x + 3
Answer:First we need to turn 1 5/7 into an improper fraction 7x1+5 = 12/7
12 / 7 x 5 / 6 = 60/42 ....reduced.....10/7
10/7 as a mixed number is 1 3/7
Step-by-step explanation:
1. If the line that we are searching for is perpendicular to the line y = -4x, this means that the gradient of our line and the gradient of the perpendicular line will multiply to give -1. Thus if we call the gradient of our line m, then:
m*(-4) = -1
-4m = -1
m = 1/4
2. Since we know that m = 1/4 and we have a point (2,6) on our line, we can use the formula y - y1 = m(x - x1) to find the equation of our line, where (x1, y1) is the coordinates of a point on the line. Thus:
y - y1 = m(x - x1)
y - 6 = (1/4)(x - 2)
y - 6 = (1/4)x - 2/4 (Expand (1/4)(x - 2))
y = (1/4)x - 1/2 + 6 (Simplify 2/4 and add 6 to each side)
y = (1/4)x + 11/2 (Evaluate -1/2 + 6)
Slope-intercept form is given by y = mx + c. As our equation is already in this form, there is nothing more to do. Thus, the answer is y = (1/4)x + 11/2
