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Molodets [167]
3 years ago
9

One pattern believe fabric sells for $15 for every 2 yards, and another sells for 37.50 every 5 yards do these fabrics have the

same unit cost? Explain
Mathematics
1 answer:
Elenna [48]3 years ago
5 0
We need to find out how much is worth one yard in both fabrics, so we divide $15.00 by 2 and $37.50 by 5:

$15.00 ÷ 2 = $7.50 per yard
$37.50 ÷ 5 = $7.50 per yard

As both prices per yard are the same, the answer is: <span>Yes, these fabrics have the same unit cost.</span>

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47(x)
Ksenya-84 [330]

Answer:

How is the behavior of food coloring in the cool and heated water different? ... The food coloring in cool water remained at the bottom of the container. ... the food coloring was caused by the movement of heat through the water and the formation of convection currents. The warmer water is less dense, so it rises to the surface.

Step-by-step explanation:

3 0
2 years ago
Laura is baking a cake. The recipe says that she has to mix 64 grams of chocolate powder to the flour. Laura knows that 1 cup of
pickupchik [31]
The answer is <span>She went over by one over six of a cup
</span>
<span>1 cup of that particular chocolate powder has a mass of 128 grams: 1c = 128g

</span><span>64 grams of chocolate powder is x cups.
1c = 128g
x = 64g

1c : 128 g = x : 64g
x = </span>1c : 128 g * 64 g
x = 0.5 c
64 grams of chocolate powder is 0.5 cups = 1/2 cups

<span>She added two over three of a cup of chocolate powder: 2/3 cups

She need to add 1/2 cups: 1/2 = 3/6 cups
She added 2/3 cups: 2/3 = 4/6 cups

So she added 4/6 - 3/6 = 1/6 cups more.
</span>
5 0
3 years ago
12. The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each.
Debora [2.8K]

Answer:

The number of tickets they have sold in advance are summed up with the following equation and solution:

Equation: \frac{6842.50}{17.50} [the final answer should be in dollars]

Solution: The Opera sold 391 tickets in advance.

Step-by-step explanation:

First: Review some background information:

Let's see what the problem gives us to answer it. I'll bold out the important parts:

The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each. If they have collected $6842.50 already, then how many tickets have they sold in advance?

We know how much the tickets cost and how much money they have earned from selling tickets, we can find out how much tickets they have sold.

Second: Solve the problem:

We can solve this problem using many ways, but I'm just going to pick one. We will use proportions to answer this. Now thoughts might be going through your head like this: What is this guy saying? What in the world is proportions? Well hopefully you learn from this example (Please don't take offense if you <em>do</em> know how to do proportions).

First we set up two fractions. One ticket costs $17.50, so we will use it to set up our first fraction: \frac{1}{17.50}. We don't know how many tickets all together cost $6842.50 so we will use the variable: x. Now, we can set up our second fraction. x tickets costs $6842.50 so our second fraction will be: \frac{x}{6842.50}. Now we must use cross multiplication. We multiply the numerator of the first fraction times the denominator of the second fraction, and then we multiply the denominator o the first fraction times the numerator of the second fraction. That's what we would do usually. But now, since we have a variable, we must use cross multiplication to solve for this variable. So we multiply the the numerator of the first fraction times the denominator of the other fraction and then we divide that answer times the denominator of the first fraction (You don't have to set it up like this).So let's solve this question:

\frac{1}{17.50}  \frac{x}{6842.50}

1 x 17.50 = 17.50

6842.50 ÷ 17.50 = 391

So our equation is 6842.50 ÷ 17.50, and our solution is 391 tickets

Topic: Proportions

6 0
2 years ago
Please dont put any files or links. answer each equation please.
Lynna [10]

Answer:

23 thousandths. <em><u>=</u></em><em><u> </u></em> 23 ÷ 10^3

9+4 × (6÷3) <em><u>></u></em> (9+4×6) ÷ 3

5 tens + 2 hundredths. <em><u><</u></em> 50.20

810.6 ÷ 10. <em><u>=</u></em> 8.106 × 10

7 0
2 years ago
Solve for x. Round to the nearest tenth, if necessary. 1.8 &amp; x
Valentin [98]

Answer:

x ≈ 1.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = \frac{opposite}{hypotenuse} = \frac{RS}{RT} = \frac{x}{1.8} ( multiply both sides by 1.8 )

1.8 × sin50° = x , then

x ≈ 1.4 ( to the nearest tenth )

7 0
2 years ago
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