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Hunter-Best [27]

2 years ago

14

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 9 boys and

6 girls are competing, how many different ways could the six medals possibly be given out?

1 answer:

Lady_Fox [76]2 years ago

4 0

Answer:

d

Step-by-step explanation:

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Twelve mangoes are to be shared in the ratio of 2:3:1.How many mangoes will each person get

Leya [2.2K]

4:6:2
this is because 2+3+1 is 6 and you divide that by 12 which is 2 and you times 2 to every ratio

5 0

2 years ago

Brenda mails a package to a grandson that weighs 210 grams. About how many ounces is the package? Use 1 ounce = 28.4 grams.

Lilit [14]

210 grams into ounces
210 / x = 28.4 / 1
cross multiply
210 = 28.4 x
divide both sides by 28.4
The answer is <span>7.39 ounces
That can be rounded to 7.4 ounces

The package is 210 grams or 7.4 ounces.

Hope this helps :)</span>

3 0

3 years ago

Solve the system by using the combination method<br> 4x+9y=7 <br> 4x-9y=9

harkovskaia [24]

The two original functions are 4x+9y=7 and 4x-9y=9
To use the combination method, add all the values of the two equations together to cancel out one of the variables
4x+4x+9y-9y=7+9
8x=16
8x/8=16/8
x=2
4(2)+9y=7
8+9y=7
8-8+9y=7-8
9y=-1
y=- $\frac{1}{9}$

7 0

3 years ago

Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}$

Now you can rewrite it as:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}$

Next, multiply:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}$

Next, divide:

$(\frac{f}{g})(x)=(x+2)^2$

And lastly, simplify:

A good tip: $(x+y)^2=x^2+2xy+y^2$

$(\frac{f}{g})(x)=x^2+4x+4$

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

7 0

3 years ago

Meghan has a beginning balance of $750 in her checking account. She writes a check for $150 and has a debit transaction of $135.

tatuchka [14]

Her new balance is her new balance would be 435
heres my math
750-150-135=435

8 0

2 years ago

Read 2 more answers