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trapecia [35]
3 years ago
6

More than 370 students went on a field trip. Ten buses were filled and 8 more students traveled in a car. Let s represent the nu

mber of students in each bus.
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
8 0
Whoever does paper homework, This is what you do: Get your homework out. Example: Math or something Find a word problem and google the exact problem with no lower case at the beginning When you google that problem, You will most likely find PDFs. Look through the PDFs. One pdf may have only your problem's answer or one pdf may have answers for the whole page! or even a lesson
You might be interested in
This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex
noname [10]

L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)

L_x=10+10\lambda x=0\implies1+\lambda x=0

L_y=10+10\lambda y=0\implies1+\lambda y=0

L_z=2+4\lambda z=0\implies1+2\lambda z=0

L_\lambda=5x^2+5y^2+2z^2-42=0

\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z

5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1

z^2=1\implies z=\pm1\implies x=y=\pm2

There are two critical points, at which we have

f\left(2,2,1\right)=42\text{ (a maximum value)}

f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}

3 0
3 years ago
A coupon subtracts 5.16 from the price p of a shirt. you pay 15.48 for the shirt after using the coupon. write and solve an eqau
DochEvi [55]
15.48 + 5.16 = p because you have to do the reverse. to find "p" you have to add the amount you subtracted.
7 0
3 years ago
14K gold hoop earrings are on sale for 50 cents off. They normally sell for $75.00 a pair. How much did Elizabeth save on 2 pair
KonstantinChe [14]

Answer: $1

Step-by-step explanation:

3 0
3 years ago
Complete the steps to simplify^5√4 x √2 . Rewrite using rational exponents.
ozzi

The answer is 2^(9/10). I did it assuming with the ^5 you mean the 5th root of 4

7 0
3 years ago
Read 2 more answers
What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)?
attashe74 [19]
D(7,3) \\
E(8,1) \\
F(4,-1)

The lengths of the sides of the triangle:
\overline{DE}=\sqrt{(8-7)^2+(1-3)^2}=\sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt{5} \\ \\
\overline{DF}=\sqrt{(4-7)^2+(-1-3)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5 \\ \\
\overline{EF}=\sqrt{(4-8)^2+(-1-1)^2}=\sqrt{(-4)^2+(-2)^2}=\sqrt{16+4}=\sqrt{20}= \\
=\sqrt{4 \times 5}=2\sqrt{5}

No sides are equal to each other, so it's a scalene triangle.

Check if the sides satisfy the Pythagorean theorem:
(\sqrt{5})^2 + (2\sqrt{5})^2=5^2 \\
5+20=25 \\
25=25 \\
true
They do, so it's a right triangle.

The triangle is a right scalene triangle.
7 0
3 years ago
Read 2 more answers
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