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3 years ago

An artist is making a mosaic using glass

Mathematics

1 answer:

Bond [772]3 years ago

4 0

Answer:

200

Step-by-step explanation:

Let x and 2x be the number of red tiles and blue tiles respectively.

x + 2x = 600

3x = 600

=> x = 200

No. of red tiles = 200

No. of blue tiles = 2(200) = 400

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A scientist has 100 milligrams of a radioactive element. The amount of radioactive element remaining after t days can be determi

grandymaker [24]

The mass of the first shipment at time t is
$m_{1}=100( \frac{1}{2} )^{ \frac{t}{10}}$

The mass of the second shipment at time t is
$m_{2}=100( \frac{1}{2} )^{ \frac{t-3}{10} }$

At time t, the ratio of m₁ to m₂ is
$\frac{m_{1}}{m_{2}} = \frac{100}{100}. \frac{(1/2)^{t/10}}{(1/2)^{(t-3)/10}} \\ = \frac{(1/2)^{t/10}}{(1/2)^{t/10}}. \frac{1}{(1/2)^{-3/10}} \\ = (1/2)^{3/10} \\ = 0.8123$

Therefore as a percentage,
$\frac{m_{1}}{m_{2}} =100*0.8123 = 81.23 \%$

Answer: B. 81.2%

4 0

3 years ago

A circle containing the point (6, 1) has its center at (3, 5). Complete the description of the changes in the circumference and

Romashka-Z-Leto [24]

Step-by-step explanation:

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8 0

2 years ago

Bobby has already ran 1 mile on his own, and he expects to run 1 mile during each track practice. How many track practices would

german

Answer:

In order to have ran 33 miles, Bobby would have to attend 32 track practices.

Step-by-step explanation:

Solving this problem entails of uncovering the amount of track practices Bobby must attend in order to have ran 33 miles. Start by reading the problem carefully to break down the information provided.

You can see that Bobby has already ran one mile on his own. This is important to remember for later. The problem also states that he expects to run one mile at every track practice.

Setting up an equation will help us solve. Here is how we could set up the equation:

(amount of miles already ran = 1) + (number of track practices = x) = (total miles to run = 33)

1 + x = 33

The equation is now in place. You can solve this, or isolate 'x', by using the subtraction property of equality. This means we will subtract one from both sides of the equation, thus isolating the variable.

1 + x = 33

1 - 1 + x = 33 - 1

x = 32

The variable is the only term left on the left side of the equation. This means Bobby must attend track practice 32 times in order to have ran 33 miles.

8 0

3 years ago

Help. IM SO LOST ON THIS! ;(

castortr0y [4]

Answer:

1. 4 $\frac{2}{3}$

Step-by-step explanation:

For question 1, you need to know the ratio between the recipe and the amount in question.

So if in the recipe, it says it uses 3/4 cup of diced ham, and the question uses 1 cup of diced ham, you can divide 1 by 3/4 to get 4/3. This is how many times bigger the amount used in the question than the recipe.

Then it asks for how many cups of potatoes, to do this, you look at the recipe and how many potatoes it uses: 3.5 cups

To solve it then, you just do 3.5 x 4/3 to get 4 $\frac{2}{3}$ cups of potatoes

There's your answer.

3 0

3 years ago

Solve each inequality. Graph the solution on a number line.

svetoff [14.1K]

Answer:

n>2 2/3

Draw a filled dot at a little more than 2 1/2 and continue the line to the right.

Step-by-step explanation:

Subtract 1/3 from both sides to get

2 2/3

Flip the inequality

n> 2 2/3

I hope this helps!

4 0

3 years ago