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Ivenika [448]
3 years ago
10

In order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint, 2 cups of green paint, and 1/2 gal

lon of white paint. How much of each color is needed to make 100 cups of this shade of green
Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer:

Step-by-step explanation:

In order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint. Converting 1.5 quarts to cup,

1 quart = 4 cups

1.5 quarts = 1.5 × 4 = 6 cups

She also used 1/2 gallon of white paint. Converting 0.5 gallons to cup,

0.0625 gallons = 1 cup

0.5 gallons = 0.5/0.0625 = 8 cups

This means that the ratio of cups of blue paint to green paint to white paint is 6: 2 :8

Total ratio = 6 +2 + 8 = 16

To make 100 cups of this shade of green,

Cups of blue paint needed = 6/16 × 100 = 37.5 cups

Cups of green paint needed = 2/16 × 100 = 12.5 cups

Cups of white paint needed = 8/16 × 100 = 50 cups

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At t=0, a rock is dropped from rest from the top of a building 256 ft high. With what velocity will it strike the ground? What i
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Answer:

128 ft / second.

Step-by-step explanation:

It's acceleration is due to gravity and is 32 ft s^-2.

To find the velocity when it hits the ground we use the equation of motion

v^2 = u^2 + 2gs    where  u = initial velocity, g = acceleration , s = distance.

v^2 = 0^2 + 2 * 32 * 256

v^2 = 16384

v =  128 ft s^-1.

4 0
3 years ago
at a particular high school, 42% of the students participate in sports and 25% of the students participate in drama. if 53% of t
baherus [9]

The probability that a student participates in both sports and drama is 0.14.

<h3>What is the formula for P(AUB), where A and B are any two events?</h3>

If A and B are any two events, then the probability of the joint event (A\cup B) is given by the following formula: P(A\cup B)=P(A)+P(B)-P(A\cap B)

Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.

Suppose S denotes that "a student participates in sports" and D denotes that "a student participates in drama".
So, we have P(S)=\frac{42}{100}=0.42, P(D)=\frac{25}{100}=0.25, P(S\cup D)=\frac{53}{100}=0.53.

We want to find the probability that a student participates in both sports and drama i.e., we want to find P(S\cap D).

By the above formula, we obtain:

P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\Longrightarrow P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\Longrightarrow P(S\cap D)=0.42+0.25-0.53\\\therefore P(S\cap D)=0.14=\frac{14}{100}

Therefore, the probability that a student participates in both sports and drama is 0.14.

To learn more about probability, refer: brainly.com/question/24756209

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6 0
2 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
which property is illustrated by the equation below (r+s)+t=r+(s+t). A)Associative B)Commutative C)Distributive D)Identity
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4 0
3 years ago
1. Curtis was curious about the average height of the different types of plants in his flower and vegetable gardens, so he measu
Nadusha1986 [10]

Answer:

Step-by-step explanation:

hey i got the answer straight from my teach but ony a and c if you have the answer to b let me know  :  ( A) To determine the mean absolute deviation, first calculate the mean. Find the sum of the values: 8 plus 6 plus 9 plus 6 plus 14 plus 9 plus 5 plus 7 equals 64. Then divide the sum by the number of values: 64 divided by 8 equals 8. The mean is 8.

Next, find the distance of each value from the mean :

|8-8|=0 |6-8|=2 |9-8|=1 |6-8|=2 |14-8|=6 |9-8|=1 |5-8|=3 |7-8|=1

0 plus 2 plus 1 plus 2 plus 6 plus 1 plus 3 plus 1 equals 16. Then divide the sum of absolute deviations by the number of data values: 16 divided by 8 equals 2. The MAD of the data is 2.

 

C.  Since the MAD for the vegetable plant data is so much higher than the MAD for the flower data, this indicates that the heights of the vegetable plants vary more than the heights of the flowers    ALSO do you go to k12

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