A parallelogram has an area of x^2 + 9x

Alfred has 10 more tokens than Clarissa. Clarissa has twice as many tokens as Benji. They have 85 tokens altogether. How many to

marysya [2.9K]

Answer:

Alfred has 40 tokens

Clarissa has 30 tokens

Benji has 15 tokens

Step-by-step explanation:

Let's give each person a variable:

A for Alfred

C for Clarissa

B for Benji

Now, we can take what the question is saying and convert them into equations:

Alfred has 10 more tokens than Clarissa can look like this:

A = C + 10

Since Alfred has 10 more coins than Clarissa we can take C and add 10 to find how many tokens Alfred has.

Clarissa has twice as many tokens as Benji looks like this:

C = 2B

Since Clarissa has twice as many tokens as Benji we can multiply B (how many tokens Benji has) by 2.

Lastly, they have 85 tokens all together:

A + B + C = 85

We have these 3 equations:

A = C + 10

C = 2B

A + B + C = 85

Now, we can substitute some variables:

A = (2B) + 10 Since C is equal to 2B we can substitute 2B in for C in the first equation.

We have found what A equals, we can plug that in to the last equation:

(2B) + 10 + B + C = 85

We can also substitute the second equation into the third equation:

(2B) + 10 + B + 2B = 85

Combine like terms:

5B + 10 = 85

Solve

5B = 75

B = 15

This means that Benji has 15 tokens. Now we can find how much the other children have:

C = 2(15) = 30

Clarissa has 30 tokens

A = 30 + 10

A = 40

Alfred has 40 tokens.

Answer:

Alfred has 40 tokens

Clarissa has 30 tokens

Benji has 15 tokens

Checking the Answer

A + B + C = 85

40 + 15 + 30 = 85

85 = 85

I hope this helps!!

- Kay :)

6 0

3 years ago

9. Write an equation of a parabola that opens to the right, has a vertex at the origin, and a focus at (7,0).

Nookie1986 [14]

Answer:

$x = \frac{1}{28} y^{2}$

Step-by-step explanation:

parabola equation with vertex (0 , 0) and focus length |f| = 7

4*f*(x - h) = (y - k)²

4*7*(x-0)=(y-0)²

28x = y²

$x = \frac{1}{28} y^{2}$

6 0

3 years ago

In an aquarium,2/5 of fish are surgeon. Of these ,3/4 are yellow tangs.what fraction of all fish in the aquarium are yellow tang

hoa [83]

8 are surgeon, 15 are yellow tangs

8 0

4 years ago

An accounting professor wants to know the average GPA of the students enrolled in her class. She looks up information on Blackbo

olya-2409 [2.1K]

Answer:

a) True

b) Parameter

Step-by-step explanation:

We are given the following in the question:

An accounting professor wants to know the average GPA of the students enrolled in her class.

Population:

It is defined as the collection of all variables of interest.
A sample of individuals of interest is drawn from a population.

For the given case

Individuals of interest:

Students enrolled in accounting class

Population of interest:

Students enrolled in accounting class

Characteristic of interest:

Average GPA of the students enrolled in her class.

a) The population is all students enrolled in the accounting class.

The given statement is true as it contains all the observation of all the individuals of interest.

b) The computed average GPA of all the students enrolled in the class is 3.29

Statistic is a descriptive measure that describes a sample where as a parameter is a measure that describes the population.

Since 3.29 is the average of all the students enrolled in her class that is the average GPA of population.

Thus, 3.29 is a parameter.

6 0

4 years ago

the perimeter of a standard-sized rectangular rug is 84 ft the length is 22 ft longer than the width find the dimensions

sergij07 [2.7K]

Answer:

The length would be 32 and the width would be 10

Step-by-step explanation:

For the purpose of this, we'll set the width as x. We can then define the length as x + 22 since we know it is 22 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.

P = 2l + 2w

84 = 2(x + 22) + 2(x)

84 = 2x + 44 + 2x

84 = 4x + 44

40 = 4x

10 = x

Now since we know that the width is 10ft, we can add 22ft to it to get the length, which would be 32ft.

8 0

3 years ago

A parallelogram has an area of x^2 + 9x - 36.