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3 years ago

3. The ratio of boys to girls in the math class is 5:8. If there are 40 girls, how

Mathematics

1 answer:

Butoxors [25]3 years ago

8 0

Answer:25 boys

Step-by-step explanation: look at pic below to see how solved.

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1+1 im borrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrred

elena-s [515]

Answer:

hope it helps!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

7 0

2 years ago

Read 2 more answers

The square of a number plus three times the number is 70. find the numbers.

Harrizon [31]

Answer:

Step-by-step explanation:

The equation for that is

$x^2+3x=70$

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

$x^2+3x-70=0$

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:

$x^2+10x-7x-70=0$ and now we will factor by grouping:

$(x^2+10x)-(7x-70)=0$ and factor out what's common:

$x(x+10)-7(x+10)=0$

The factor (x + 10) is common, so we will now factor that out:

$(x+10)(x-7)=0$

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7

Those are the 2 numbers that will work.

$(-10)^2+3(-10)=70$ simplifies to

100 - 30 which does in fact equal 70. OR

$(7)^2+3(7)=70$ which simplifies to

49 + 21 which also equals 70.

So you're done!

3 0

3 years ago

1/3x² + x+5/3x² = 1/9 HAHAHAHA......

mr_godi [17]

Answer:

Now, 3x 2+x+5⩾0

This is because b² −4ac=1−4×5×3

=−59 (roots are imaginary)

3x²+x+5=(x−3)² =x²+9−6x and x−3⩾0

2x²+7x−4=0

2x²+8x−x−4=0

2x(x+4)−1(x+4)=0

(2x−1)(x+4)=0

x= 1/2 and−4 but x≥3

∴ No solution.

lol hehehe

7 0

3 years ago

Read 2 more answers

A cylindrical water bottle has a diameter of 5 in. and a height of 9 in. What is the capacity of the water bottle in cubic inche

VikaD [51]

The answer will be 388.6 because you will use the formula V=pi.r^2.h.
pi we know is 3.14 we also know that radius is half the diameter so half of 5 is 2.5 and the height is 9 so here is what we have so far. V=3.14x2.5^2x9.
2.5x2.5=13.75 13.75x3.14=43.175 43.175x9=388.575 and if we round that it will be 388.6 so your answer is 388.6

3 0

3 years ago

Slove for x: x+1/3=1/4

lana [24]

Hey!

To solve this problem, we must subtract one over three from both sides of the equation. This will give us x on its own.

Original Equation :
$x + \frac{1}{3} = \frac{1}{4}$

New Equation {Added Subtract $\frac{1}{3}$ to Both Sides} :
$x + \frac{1}{3} - \frac{1}{3} = \frac{1}{4} - \frac{1}{3}$

Solution {New Equation Solved} :
$x=- \frac{1}{12}$

So, this means that in the equation provided, $x=- \frac{1}{12}$ .

Hope this helps!

- Lindsey Frazier ♥

6 0

3 years ago