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Fynjy0 [20]
2 years ago
13

The number of girls in a class varies directly with the number of boys in the class. If a class contains seven boys and 21 girls

, how many girls are in a class with 11 boys?
Mathematics
1 answer:
sleet_krkn [62]2 years ago
6 0

Answer:

17

Step-by-step explanation:

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Each day, a factory produces a total of 280 containers of ice cream. The flavors are vanilla, chocolate, and strawberry. Each da
GalinKa [24]

Answer:

The correct equation in terms of s is: 4s=260

  • The number of strawberry ice cream produced per day, s=65.
  • The number of chocolate ice cream produced per day ,c=130.
  • The number of vanilla ice cream produced per day ,v=85.

Step-by-step explanation:

Let the number of containers of strawberry ice cream produced per day=s

Let the number of containers of vanilla ice cream produced per day=v

Let the number of containers of chocolate ice cream produced per day=c

Total Number of Ice Cream Containers=280

  • s+v+c=280

Given:

The factory produces twice as much chocolate ice cream as strawberry ice cream. This is written as:

  • c=2s

The factory produces 20 more containers of vanilla ice cream than strawberry ice cream. This is written as:

  • v=s+20

Therefore substituting c=2s and v=s+20 into the first equation: s+v+c=280

s+s+20+2s=280

4s=280-20

4s=260

Divide both sides by 4

s=65

The number of strawberry ice cream produced per day is 65.

The number of chocolate ice cream produced per day =2s=2(65)=130.

The number of vanilla ice cream produced per day =s+20=65+20=85.

3 0
3 years ago
A pair of shorts are £15 in a 40%. What was the non-sale price
lana66690 [7]

Answer:

£10.71

Step-by-step explanation:

Given the original price including discount od shorts = £15

Percent discount = 40%

Original price = x

Using the expression to calculate x

x + (40%of x) = 15

x +0.4x = 15

1.4x = 15

x = 15/1.4

x = £10.71

Hence the non sale price is £10.71

4 0
3 years ago
The lifetime of a certain type of TV tube has a normal distribution with a mean of 61 and a standard deviation of 6 months. What
Ad libitum [116K]

Answer:

P(57

P(-0.67

P(-0.67

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the lifetime for a TV of a population, and for this case we know the distribution for X is given by:

X \sim N(61,6)  

Where \mu=61 and \sigma=6

We are interested on this probability

P(57

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(57

And we can find this probability like this:

P(-0.67

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-0.67

6 0
3 years ago
HELPPPPPPP PLSSSSSS I NEED THIS QUICK
Charra [1.4K]

Answer:

75%

Step-by-step explanation:

try this answer

5 0
2 years ago
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Patrick pays $10 per month for recycling. He expects the cost to increase 90¢ every 3 years. What is the slope that represents h
Leokris [45]
If the cost increases $0.90 every three years , then the cost increases $0.30 per year. the slope will be 0.3/1 or just 0.3
3 0
3 years ago
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