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max2010maxim [7]
3 years ago
8

What is the solution to the equation?

Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0
\frac{1}{3}x+\frac{1}{3}(2x-15)=3\frac{1}{2}\\\\
\frac{1}{3}x+\frac{1}{3}(2x-15)=\frac{7}{2}\ \ \ |Multiply\ by\ 6\\\\
2x+2(2x-15)=21\\\\
2x+4x-30=21\\\\
6x-30=21\ \ |Add\ 30\\\\
6x=51\ \ \ |Divide\ by\ 6\\\\
\boxed{x=\frac{51}{6}=8\frac{1}{2}}
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Find the area of the figure. Round to the nearest hundredth when necessary.
Delvig [45]

Answer:

215.20 ft^2

Step-by-step explanation:

The figure has 2 semi-circles.

First we find the area of each circle using the formula \pi r^{2} because that is the area formula for a circle.

The semi-circle to the left gives the diameter which is 22 feet. The radius would be half the diameter thus r=11 for semi-circle one.

Then we are to find the diameter of the second semi-circle. Given the entire length to be 30 feet, 30-22 leaves us with 8 feet as its diameter thus r=4.

Left: r=11

Right: r=4

Then, plugging both into the formula for area of a circle, we get

Left: 380.1327

Right: 50.26548

We must divide each by two because we are only looking for semi-circle which is exactly half the area of a full circle.

Then,

Left: 190.066

Right: 25.1327

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8 0
3 years ago
Find the original price of a pair of shoes if the sale price is $40 after a 60% discount
Arturiano [62]

Answer:

<em>Thus, the original price of the pair of shoes was $100.</em>

Step-by-step explanation:

<u>Percentages</u>

After a 60% discount, the sale price is now valued at 100-60=40% of its original price.

If the sale price is $40, then the original price is calculated as

$40 / 40 * 100 = $100

Thus, the original price of the pair of shoes was $100.

Verify applying 60% discount:

$100 - 60*$100/100 =  $40

3 0
3 years ago
P=300-20x what is x in terms of P?
aleksandr82 [10.1K]
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The number of batches she can make is = 5 batches

<h3>Calculation of total number of batches</h3>

The amount of dough used to make each batch = 12oz

The total amount of dough she has= 60oz

Therefore, the number of batches she can make from the total dough available = b

Using the equation:

(dough for one batch) × (number of batches) = (total amount of dough)

which is = 12× b = 60

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b= 5 batches

Learn more about batches here:

brainly.com/question/25770607

4 0
1 year ago
True or false
LuckyWell [14K]

Answer:

True

Step-by-step explanation:

Outliers still are apart of the data, so it will effect the overall measurement because it is different from the other data collected.

Hope that helps!

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