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professor190 [17]

3 years ago

11

A gold alloy contains 15 milligrams of gold for every 4 milligrams of copper. A jeweler uses 48 milligrams of copper to make the

alloy. How much gold does the jeweler use to make the alloy?
How many milligrams?

1 answer:

Rzqust [24]3 years ago

7 0

Answer:

180 milligrams of gold

Step-by-step explanation:

1.)48 / 4=12

2.)12*15=180

Hope this answers your question

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Aaron has a triathlon. Sunday he bikes 12 5/8 miles and swims 5 2/3 miles. Monday, he runs 6 3/8 miles. How many total miles Aar

Alla [95]

Let’s put these into one fraction each:

Biking:
= (12*5)/8 miles
= 60/8 miles
This can be reduced to,
= 15/2 miles

Swimming:
= (5*2)/3 miles
= 10/3 miles

Running:
= (6*3)/8 miles
= 18/8 miles
This can be reduced to,
= 9/4

Now we add all the distances up:
= (15/2) + (10/3) + (9/4)

Now we just can add the numerators and the denominators. We must find the lowest common factor (LCF) for our 3 denominators (2,3,4). Our LCF turns out to be 12. *Remember what we do to the denominator we must do to the numerator. So:
= (15/2) + (10/3) + (9/4)
= [(15*6)/12] + [(10*4)/12] + [(9*3)/12]
= (90/12) + (40/12) + (27/12)
= (157/12)
Therefore Aaron Ran 157/12 miles or 13.08 miles.

Hope this helps!

4 0

3 years ago

A quadrilateral has two consecutive angles that measure 90° each. Which of the following quadrilaterals could have this property

julia-pushkina [17]

The diagram of each shape are shown below

The shapes that have two consecutive angles of 90° is square and rectangle, so the correct option is option A

5 0

3 years ago

Question 1: Find LCM and HCF of 30 and 18 using a Venn diagram.

loris [4]

Step-by-step explanation:

you can draw a venn diagram in this way.

8 0

3 years ago

Cyris went out for breakfast and had pancakes for $5.95 and orange juice for $1.75. He would like to tip the waiter 20% of the t

Irina-Kira [14]

Answer:

$1.54

Step-by-step explanation:

8 0

3 years ago

What is the answer to this equation <br> 5/6x+4=422/105-4/5

Bad White [126]

<em><u>The answer to given equation is x = -0.9372</u></em>

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

$\frac{5}{6}x + 4 = \frac{422}{105} - \frac{4}{5}$

We have to find the answer to this equation

Let us solve the equation step by step

From given,

$\frac{5}{6}x + 4 = \frac{422}{105} - \frac{4}{5}$

Solve the right side of equation

Take L.C.M for 105 and 5

Prime factor of 5 = 5

Prime factor of 105 = 3 x 5 x 7

Multiply these factors together to find the LCM.

LCM = 3 x 5 x 7 = 105

Thus,

$\frac{5}{6}x + 4 = \frac{422 \times 1}{105 \times 1} - \frac{4 \times 21}{5 \times 21}\\\\\frac{5}{6}x + 4 = \frac{422-84}{105}\\\\\frac{5}{6}x + 4 = \frac{338}{105}\\\\\frac{5}{6}x + 4 =3.219\\\\\frac{5}{6}x = 3.219 - 4\\\\\frac{5}{6}x = -0.781\\\\5x = -4.686\\\\x = - 0.9372$

Thus the answer to given equation is x = -0.9372

4 0

3 years ago