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Rom4ik [11]
3 years ago
14

The ratio of boys to girls in a class is 2:3 if there are 18 girls in the class how many boys are there

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Answer:

  12 boys

Step-by-step explanation:

Multiply the ratio numbers by 6 and you have

  boys : girls = 2 : 3 = 12 : 18

There are 12 boys in the class.

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Let F⃗ =2(x+y)i⃗ +8sin(y)j⃗ .
Alik [6]

Answer:

-42

Step-by-step explanation:

The objective is to find the line integral of F around the perimeter of the rectangle with corners (4,0), (4,3), (−3,3), (−3,0), traversed in that order.

We will use <em>the Green's Theorem </em>to evaluate this integral. The rectangle is presented below.

We have that

           F(x,y) = 2(x+y)i + 8j \sin y = \langle 2(x+y), 8\sin y \rangle

Therefore,

                  P(x,y) = 2(x+y) \quad \wedge \quad Q(x,y) = 8\sin y

Let's calculate the needed partial derivatives.

                              P_y = \frac{\partial P}{\partial y} (x,y) = (2(x+y))'_y = 2\\Q_x =\frac{\partial Q}{\partial x} (x,y) = (8\sin y)'_x = 0

Thus,

                                    Q_x -P_y = 0 -2 = - 2

Now, by the Green's theorem, we have

\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA = \int \limits_{-3}^{4} \int \limits_{0}^{3} (-2)\,dy\, dx \\ \\\phantom{\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA}= \int \limits_{-3}^{4} (-2y) \Big|_{0}^{3} \; dx\\ \phantom{\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA}= \int \limits_{-3}^{4} (-6)\; dx = -6x  \Big|_{-3}^{4} = -42

4 0
3 years ago
A shoe store uses a 38% markup to price their items. The store buys the
Lorico [155]

Answer:

They will Markup the price by $19.76.

Step-by-step explanation:

Markup percent = 38%

Wholesale Price = $52

Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.

so

Markup price = 38% of 52

                      = 38/100 × 52

                       = 0.38 × 52

                       = $19.76

Therefore, they will Markup the price by $19.76.

8 0
2 years ago
A student concludes that the solution to the equation ( 2×+1+3=0 is×=4
Slav-nsk [51]

Answer:

x = -2

Step-by-step explanation:

2x + 1 + 3 = 0

2x + 4 = 0

x = -2

4 0
2 years ago
What is the value for ƒ(x) = 42x - 100 when x = 2 ?
Anton [14]
F(2)=42(2)-100
f(2)= -16
f(2)/-16= -8
3 0
3 years ago
Dave says:
Nuetrik [128]

There are 2 symmetry lines of a rectangle which are from its length and breadth. These two lines cut the rectangle in two similar halves which are mirror images of each other. If a rectangle is folded along its line of symmetry, it superimposes perfectly.

8 0
3 years ago
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