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Ivahew [28]
3 years ago
6

a jeweler wants to mix gold costing $17 per gram with an alloy costing $7 per gram to make a ring weighing 30 grams and costing

$390. how much of each metal is needed
Mathematics
1 answer:
tatuchka [14]3 years ago
5 0

Answer:

15 grams of each

Step-by-step explanation:

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8% of a number is 20
Gnoma [55]
To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.

It should look like this: 8/100 (hint: per-cent means per-hundred).

Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.

Our proportional fractions are:
20/x = 8/100.

To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
20 x 100 (when simplified, we get 2000).

Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

This product equation should look like this:
8x.

Now that we've cross-multiplied, set our two products as an equation.

8x = 2000.

To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).

8x / 8 = x
2000 / 8 = 250.

x = 250

Your final answer is:

8% of 250 is 20.

I hope this helps!
3 0
3 years ago
Read 2 more answers
Q1: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.
marin [14]

Answer:

C. hyperbola; 9x^2-25y^2-250y-850=0

Step-by-step explanation:

The given conic has equation:

9x^2-25y^2=225

Divide through by 225.

\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}

\frac{x^2}{25}-\frac{y^2}{9}=1

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1

Multiply through by 225.

9(x-0)^2-25(y-5)^2=225

Expand

9x^2-25(y^2-10y+25)=225

9x^2-25y^2+250y-625=225

Rewrite in general form;

9x^2-25y^2+250y-625-225=0

9x^2-25y^2+250y-850=0

3 0
3 years ago
PLSSSS HELP AND ANSWER FAST I WILL GIVE BRAINLYEST
laila [671]

Answer:2/9

Step-by-step explanation:

Answer to apx

7 0
3 years ago
Plz help me like plzzzzz
Bingel [31]
Is there a picture of the ramp?
6 0
3 years ago
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Can someone PLEASE PLEASE HELP!!! I will mark brainliest!
Tcecarenko [31]
Its 2 i guess but im not sure
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3 years ago
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