In a class of c children there are 16 boys what fraction of the class are boys

Solve for b.

Mnenie [13.5K]

3a+2b=c subtract 3a on both sides
2b=3a+c divide 2 on both sides
b=(3a - c)/2

5 0

3 years ago

Help me pleaseeeee!!!!

OLga [1]

Answer:

$2xyzx^{2} \sqrt[ 0]{xyz}$

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of know factors

8 0

3 years ago

Help me with this problem please right away

svlad2 [7]

Answer:

$6\frac{1}{2} = A$

Step-by-step explanation:

The first step is to use the Distance Formula to figure out the lengths of the two legs:

$\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D$

R(1, 1) and P(−1, −2) ↷

$\sqrt{[1 + 1]^{2} + [2 + 1]^{2}} = \sqrt{2^{2} + 3^{2}} = \sqrt{4 + 9} = \sqrt{13}\\ \\ \sqrt{13} = RP$

Q(2, −4) and P(−1, −2) ↷

$\sqrt{[1 + 2]^{2} + [2 - 4]^{2}} = \sqrt{[-2]^{2} + 3^{2}} = \sqrt{4 + 9} = \sqrt{13} \\ \\ \sqrt{13} = QP$

* So, by my calculations, we have an isosceles right triangle, and according to the 45°-45°-90° triangle theorem, we automatically know that the hypotenuse, RQ, is $\sqrt{26}$ :

30°-60°-90° triangle theorem

2x, x, x√3

↑ ↑ ↑

h leg leg

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45°-45°-90° triangle theorem

x√2, x, x

↑ ↑ ↑

h legs

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So now, we have to find the area of the triangle by taking half of either height or base, then multiplying that by the height or base, but since this is an isosceles right triangle, it does not matter:

$[\frac{h}{2}][b] = A \: \:OR\: \: [\frac{b}{2}][h] = A \: \:OR \: \: \frac{hb}{2} = A$

$[\frac{\sqrt{13}}{2}][\sqrt{13}] = \frac{13}{2} = 6\frac{1}{2} \\ \\ 6\frac{1}{2} = A$

I am joyous to assist you anytime.

8 0

3 years ago

The equation Y = mx+b is the slope-intercept form of the equation of a line. What is the equation solved for b?

kvv77 [185]

To isolate b on one side of the equation, all you have to do is subtract mx from both sides, so the answer is
y-mx =b

7 0

3 years ago

Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)?

kramer

Answer:

y = 1/12 (x − 5)²

Step-by-step explanation:

We can solve this graphically without doing calculations.

The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.

The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.

So the answer is A. y = 1/12 (x−5)².

But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:

y = 1/(4p) (x − h)² + k

where (h, k) is the vertex and p is the distance from the vertex to the focus.

The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:

p = (3 − (-3)) / 2

p = 3

k, the y component of the vertex, is the average:

k = (3 + (-3)) / 2

k = 0

And h, the x component of the vertex, is the same as the focus:

h = 5

So:

y = 1/(4×3) (x − 5)² + 0

y = 1/12 (x − 5)²

3 0

3 years ago

In a class of c children there are 16 boys what fraction of the class are boys​

In a class of c children there are 16 boys what fraction of the class are boys