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3 years ago

An artist mixes paint to make new colors.

Mathematics

1 answer:

Tems11 [23]3 years ago

7 0

Answer:

The artist can make six batches of orange paint and it remains one cup of yellow paint

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of red paint for one batch of orange paint = 1/3 of a cup

Amount of yellow paint for one batch of orange paint= 1/3 of a cup

Amount of red paint available = 2 cups

Amount of yellow paint available = 3 cups

2. How many batches of orange paint can she make?

2 cups of red paint = 6/3 = 6 batches of orange paint

3 cups of yellow paint = 9/3 = 6 batches and it remains one cup of yellow paint

The artist can make six batches of orange paint and it remains one cup of yellow paint

Step-by-step explanation:

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abruzzese [7]

You're solving an equation approximating the number of farm.incidents in Wales and England between 1980-88.

F = 3500
3500 = 250x - 493000
3500 + 493000 = 250x
496500 = 250x
496500/250 = x
1986 = x

6 0

3 years ago

The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of s

Degger [83]

Let

y------> the amounts (in liters) of yellow paint

b-----> the amounts (in liters) of blue paint

we know that

$\frac{y}{b}=\frac{3}{5}$

$y=\frac{3}{5}b$

therefore

the answer is

$y=\frac{3}{5}b$

5 0

3 years ago

Read 2 more answers

Suppose y varies with x. When x is -2, y is 10. Write the equation that relates x and y

Blababa [14]

Answer:

-x : y/2

Step-by-step explanation:

8 0

3 years ago

Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always tur

daser333 [38]

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

$8=\underline{2}\times 2\times 2$

$22=\underline{2}\times 11$

Common is 2.

Therefore the LCM will be:

$2\times 2\times2\times 11 = \bold{88}$

So, the answer is 88 s.

5 0

3 years ago

5. Arrival problems usually follow a Poisson distribution, but in this case the time between arrivals of customers at a bank dur

Finger [1]

Answer:

0.5 or 50%

Step-by-step explanation:

For any given value of 'x' representing the time between arrivals of two customers. If 0 < x <120, then the cumulative distribution function is:

$\frac{x-0}{120-0}=\frac{x}{120}$

Therefore, the probability that the time between the arrivals of two customers will be more than 60 seconds is determined by:

$P(X>60) = 1 -\frac{60}{120}\\P(X>60) = 0.5$

The probability is 0.5 or 50%.

5 0

3 years ago