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2 years ago

The ratio of boys to girls in a summer camp is 2 to 3. how many boys and girls are there if the camp has 350 students?

Mathematics

1 answer:

borishaifa [10]2 years ago

6 0

2 times 25 equals 50. 3 times 100 is 300. 50+300=350

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I ready scientific notation help

Airida [17]

The required value is $2\times10^9$

Step-by-step explanation:

Weight of ants = $4\times10^{-3}$

Weight of elephant= $8\times10^6$

We need to find, the total weight of about how many ants equals to the weight of an oversized elephant.

The equation given is:

$4\times10^{-3} \times a = 8\times10^6$

We need to find a:

Solving:

$4\times10^{-3} \times a = 8\times10^6\\a=\frac{8\times10^6}{4\times10^{-3}}\\if \,\,10^a/10^-b \,\,then\,\, 10^{a+b}\\a=2\times10^{6+3} \\a=2\times10^9$

So, the required value is $2\times10^9$

Keywords: Scientific Notation

Learn more about Scientific Notation at:

#learnwithBrainly

4 0

2 years ago

Find the minimum and maximum values of the function subject to the given constraint. (if an answer does not exist, enter dne.) f

nata0808 [166]

Via Lagrange multipliers:

$L(x,y,\lambd)=x^2y+x+y+\lambda(xy-5)$
$L_x=2xy+1+\lambda y=0$
$L_y=x^2+1+\lambda x=0$
$L_\lambda=xy-5=0$

$\underbrace{10}_{2xy}+1+\lambda y=0\implies \lambda=-\dfrac{11}y$
$xy=5\implies y=\dfrac5x\implies\lambda=-\dfrac{11}5x$

$\impliesx^2+1+\left(-\dfrac{11}5x\right)x=0\implies x^2=\dfrac56\implies x=\pm\sqrt{\dfrac56}$
$xy=5\implies y=\pm\sqrt{30}$

At these points, we get local minima of $f\left(\pm\sqrt{\dfrac56},\pm\sqrt{30}\right)=\pm2\sqrt{30}$ .

- - -

Another way to do this is to make $f(x,y)$ a function independent of $y$ , which is made possible by the constraint.

$xy=5\implies y=\dfrac5x$
$\implies f(x,y)=f\left(x,\dfrac5x\right)=F(x)=6x+\dfrac5x$
$\implies F'(x)=6-\dfrac5{x^2}=0\implies x=\pm\sqrt{\dfrac56}$

and so on.

8 0

3 years ago

If 7 apples cost 28 dollars how much does 1 apple cost

daser333 [38]

28 divided by 7 = 4
So that means 1 Apple costs 4 dollars

5 0

3 years ago

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olivia necesita dividir un carrete de liston que mide 75 metros en 4 partes iguales cuanto debe medir cada liston

kykrilka [37]

<span>La respuesta es 18.75</span>

8 0

3 years ago

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The ratio of red cars to blue cars in a parking lot was 7:2. If there were 35 red cars, how many blue cars were there?

Nuetrik [128]

Answer:

The answer is 10 red cars.

Step-by-step explanation:

to get 35 red cars you would need to multiply the 7 red cars by 5, so u would do the same with the blue cars. The 2 blue cars multiplied by 5 would be 10 blue cars.

5 0

3 years ago

Read 2 more answers