The combinations of batches that Rebecca can use are the solutions of:
120 ≤ 15*x + 12*y ≤ 360
One example is x = 10 and y = 0.
<h3>What combination of batches of each could Rebecca make?</h3>
Let's define the variables:
- x = number of batches of cookies.
- y = number of batches of cupcakes.
We know that she makes batches of 15 cookies and batches of 12 cupcakes, then the total number of baked goods that she makes is:
15*x + 12*y
And we know that she wants to make at least 120 and no more than 360, then we can write the inequality:
120 ≤ 15*x + 12*y ≤ 360
So any pair of values of x and y that make the inequality true, is a combination of batches that Rebecca could use.
An example is x = 10 and y = 0.
120 ≤ 15*10 + 12*0 ≤ 360
120 ≤ 150 ≤ 360
If you want to learn more about inequalities:
brainly.com/question/24372553
#SPJ1
Answer:
4:1
Step-by-step explanation:
24:6 divide both sides by 6 and you get 4:1
When two triangles<span> are </span>congruent<span> they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there</span>
Do 12 × 4/9 and that should be the answer
Answer:
55 deg 30 Minutes = 55.5 degrees
sin = opp/hyp
sin(55.5) = altitude/10
Altitude = 10*sin(55.5)
Altitude = 10 * sin(55.5) = 8.241261886
Rounded to nearest 10th
Altitude = 8.2 cm
b. for base use Low of Cosines
Let C = base
Side A and B = length 10 Cm
c^2 = 2*a^2 -2a^2*cos(<C)
<C = 180 - 2*55.5 = 180 -111 = 69 degrees
c = sqrt ( 2a^2 - 2a^2*cos(<C)
c = sqrt ( 2*100- 200*cos(69))
c = sqrt (200 - 200*cos(69) ) = 11.32812474
Answer base
c = 11.3 cms
c.
Area = (1/2)*b * h
Area = (1/2)*(answer a * answer b)
Area = (1/2)* 11.32812474* 8.241261886 = 46.67902132
Area = 46.7 (rounded)
Area = ( 1/2) * a*b*sin(<C) = (1/2)*10*10*sin(69) =
Area = 50* sin(69) = 46.67902132
Area = 46.7 (rounded)
Step-by-step explanation: