All categories

2 years ago

A banquet is planned for:50 people. The

Mathematics

1 answer:

Julli [10]2 years ago

5 0

Answer:

30 per person

Step-by-step explanation:

You might be interested in

Which ordered pair is the best estimate of the solution of the system 3x+y=4 x-3y=4?

vovangra [49]

$3x+y=4\ \ \ \ \ \ ..............equation(1)\\x-3y=4\ \ \ \ \ \ ..............equation(2)\\\\ Using~equation~(2), \\\\
x-3y=4\\x=4+3y\\\\Now,\ using\ the\ value\ of\ x\ in\ equation\ (1),\ we\ get,\\\\(4+3y)-3y=4\\\\4=4$

Since all the variables cancel out and the coefficient equal to eachother, this system of equation has <u>infinitely many solutions!</u>

6 0

3 years ago

Solve. 3(x-6)-2(2x+3)=14

coldgirl [10]

Answer:

x=-38

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)−2(2x+3)=14

(3)(x)+(3)(−6)+(−2)(2x)+(−2)(3)=14(Distribute)

3x+−18+−4x+−6=14

(3x+−4x)+(−18+−6)=14(Combine Like Terms)

−x+−24=14

−x−24=14

Step 2: Add 24 to both sides.

−x−24+24=14+24

−x=38

Step 3: Divide both sides by -1.

−x

−1

x=−38

5 0

3 years ago

Read 2 more answers

Find the unit vector in the direction of u = (-3,2).

DENIUS [597]

$\bf \textit{unit vector for }(a,b)\implies \left( \cfrac{a}{\sqrt{a^2+b^2}}~~,~~\cfrac{b}{\sqrt{a^2+b^2}} \right)\\\\
-------------------------------\\\\
(-3,2)\qquad \stackrel{unit~vector}{\implies }\qquad \left( \cfrac{-3}{\sqrt{(-3)^2+2^2}}~~,~~\cfrac{2}{\sqrt{(-3)^2+2^2}} \right)
\\\\\\
\left( -\cfrac{3}{\sqrt{13}}~~,~~ \cfrac{2}{\sqrt{13}}\right)\\\\
-------------------------------$

$\bf \textit{and now let's \underline{rationalize} the denominator for each}
\\\\\\
-\cfrac{3}{\sqrt{13}}\cdot \cfrac{\sqrt{13}}{\sqrt{13}}\implies -\cfrac{3\sqrt{13}}{13} \qquad \qquad \qquad \qquad \cfrac{2}{\sqrt{13}}\cdot \cfrac{\sqrt{13}}{\sqrt{13}}\implies \cfrac{2\sqrt{13}}{13}
\\\\\\
\textit{and written in \underline{ai+bj form}}\qquad -\cfrac{3\sqrt{13}}{13}i~~~~+~~~~\cfrac{2\sqrt{13}}{13}j$

7 0

3 years ago

A ferryboat makes four trips to an island each day The ferry can hold 88 people If the is full on each trip how many passengers

Doss [256]

The answer is 1/22 hope i could help all though i am pretty sure i am right p.s sorry it took so long

4 0

3 years ago

Read 2 more answers

In the western region about many more l200 models were sold than l100 models?

LenKa [72]

I think about 100 models

5 0

3 years ago