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3 years ago

Help me with this problem please

Mathematics

1 answer:

Brums [2.3K]3 years ago

6 0

It makes more sense to start with parts (c) and (d), then answer parts (a) and (b).

(c) The plot is below.

(d) Mixtures that are the same color have the same ratio of blue to yellow. They fall on the same line.

(a) There are two (2) different shades of paint mixtures.

(b) Shades A and C are the bluest. Their ratio of blue to yellow is the highest. (The slope of the line connecting their dots to the origin is the steepest.)

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involving the election of officers on a committee. Assume that the committee consists of 14 members including Tasha. The same th

Yanka [14]

Answer:

There are 364 ways of filling the offices.

Step-by-step explanation:

In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

$C^{n} _{r}=\frac{n!}{(n-r)!r!}$

where n=14 (number of members)

r=3 number of offices

n!=n·(n-1)·(n-2)·...·3·2·1

$C^{14} _{3}=\frac{14!}{(14-3)!3!}=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{(11*10*9*8*7*6*5*4*3*2*1)*(3*2*1)}=\frac{14*13*12}{3*2*1} =364$

5 0

3 years ago

At the state fair 4 employees were paid $8.20 an hour to work at a corn-dog stand. They worked for 10 hours at regular pay and t

Katen [24]

Answer:

The four employees earned $ 452.80 in total

Step-by-step explanation:

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

Hour rate = $ 8.20

Overtime hour rate = $ 2.20 extra

Regular hours = 10

Overtime hours = 3

Number of employees = 4

2. How much money did they earn in total?

Let's find out the individual pay for an employee and then we'll calculate the pay for the 4 employees:

Individual pay = 10 * 8.20 + 3 * 10.40

Individual pay = $ 113.20

Total pay = Individual pay * 4

Total pay = 113.20 * 4

Total pay = $ 452.80

6 0

3 years ago

its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai

brilliants [131]

$T = \frac{-9}{2}x + 103$ is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

Solution:

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain

Given, when c = 6 thousand ft and $T = 76^{\circ}$ fahrenheit

This implies,

From (i)

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c ----- (ii)

Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain

Given, when c = 12 thousand ft and $T = 49^{\circ}$ fahrenheit

This implies,

From (i)

49 = c(12) + k

49 = 12c + k

Substitute (ii) in above equation

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

$c = \frac{-9}{2}$

Substituting the value of c in (ii) we get

$k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103$

Substituting the value of c and k in (i)

$T = \frac{-9}{2}x + 103$

Where "x" is in thousands of feet

Thus the required linear equation is found

5 0

3 years ago

Which of the following interpretations for the given expression is true

iris [78.8K]

I don't know it's so difficult

6 0

3 years ago

2x^6/20x^7 pls help me i have a test today and i don’t know how to solve it

Vedmedyk [2.9K]

Answer:

$\frac{1}{10x}$

Step-by-step explanation:

$\frac{2x^{6} }{20x^{7} } = \frac{x^{6} }{10x^{7} } \\\\=\frac{1}{10x}$

3 0

3 years ago