Answer:
the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively
Step-by-step explanation:
The computation of the cost of one cherry pie and the lemon meringue pie is shown below:
Let us assume the cherry pie be x
And, the lemon meringue pie be y
So according to the question
x + 5y = $69
5x + 7y = $129
Now multiply by 5 in the equation 1
5x + 25y = $345
5x + 7y = $129
18y = $216
y = $12
And, x would be
x + 5($12) = $69
x = $9
Hence, the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively
Answer:
To get maximum area, the dimensions will be;
l = 200 and b = 100
Step-by-step explanation:
Given the data in the question;
No fencing is needed on this side as the farmer wants to fence 3 sides of a rectangular field with 400 m fencing.
now, let the two vertical length sides be x meter and the horizontal length be 400 - 2x
as shown in the image below;
so,
Area of rectangle = (400 - 2x) × x = 400x - 2x²
now, to maximize area 'A', we will make A' = 0
⇒ 400 - 2(2x) = 0
400 = 4x
x = 400/4 = 100
so
⇒ (400 - 2x) = 400 - 2(100) = 400 - 200 = 200
∴ Maximum area = ( 400 - 2x) × x
= 200 × 100
= 20000 m²
∴ To get maximum area, the dimensions will be;
l = 200 and b = 100
The solution to the given equation –2|u| = –68 is u = 34, -34.
<h3>What is the solution to the equation?</h3>
Given the equation in the question;
–2|u| = –68
To find u, divide both sides by -2
–2|u| = –68
(–2|u|)/2 = (–68)/-2
|u| = 34
Remove the absolute value term, this create ± on the right side of the equation. ( |x| = ±x )
u = ±34
Hence,
u = 34, -34
Therefore the solution to the given equation –2|u| = –68 is u = 34, -34.
Learn more about absolute values here: brainly.com/question/1301718
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4000x.03=120
4000-120=3880
3880+500=4380
The final altitude of the hot air balloon is 4,380 feet.
Answer:
15km/cm
Step-by-step explanation:
All you do is divide 45 by three to determine your scale
