Step-by-step explanation:
given
as equation 1, and
as equation 2.
Now, multiply equation 2 by 2.
now let's this equation be equation 3.
We now use equation 1 + equation 3 to eliminate y and find x.
Now substitute x = 7 into equation 2.
Answer:
3 girls and 4 boys
Step-by-step explanation:
Writing the number of girls in the family as g and the number of boys in the family as b,
we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as
b = 2(g-1)
Next,
we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as
b-1 = g
Therefore, we have
b = 2(g-1)
b-1 = g
Plugging b-1 = g into the first equation, we get
b = 2 (g-1)
2(g-1) = 2((b-1) - 1) = b
= 2(b-1-1)
= 2(b-2)
= 2b-4
b = 2b-4
subtract 2b from both sides to make it so that only b values and their coefficients are on one side
-b = -4
multiply both sides by -1 to solve for b
b=4
Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.
Answer: 264 cm^2
Step-by-step explanation:
22*6.5+22*5.5=22*12=264
<span>They should produce 100 Explorers and 275 Grande Expeditions.
To maximize revenue, we want to use all 375 frames. Since the more expensive bike take longer to make, we also want to use all 450 hours so we can make as many of the more expensive bikes as possible with the 375 frame. This helps us create a 2 variable system that can be solved.
Let x=Explorers and y=Grande Expeditions
x+y=375
2x+3y=450</span>
Answer:
5 secs
Step-by-step explanation:
The height of the object is given as:
The moment when the object hits the ground, the height of the object will be 0 m.
Hence:
Solving this for t:
Divide through by 16 and move all parameters to the left hand side:
Since time cannot be negative, time, t = 5 secs.
The object will hit the ground after 5 secs.
