ou are setting up a part-time business with an initial investment of $21,000. The unit cost of the product is $11.60, and the selling price is $20.00. (a) Find equations for the total cost C (in dollars) and total revenue R (in dollars) for x units.

Answer:

y = -3x + 7

Step-by-step explanation:

If the line is parallel, it will have the same slope. So, this line will have a slope of -3.

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

4 = -3(1) + b

4 = -3 + b

7 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = -3x + 7

So, the equation is y = -3x + 7

Answer:

45

Step-by-step explanation:

If 7/8 are relatives, 1/8 are not relatives

360 / 8 = 45

Answer:

the ans of this question is 30cm².

Answer:

[tex]1. \: \: \: 2x = 5 \\ x = \frac{5}{2} \\ 2. \: \: \: \: \: \: y + 1.8 = 14.7 \\ y = 14.7 - 1.8 \\ y = 12.9 \\ 3. \: \: \: \: \: 6 = \frac{1}{2} z \\ z = 6 \times 2 \\ z = 12 \\ 4. \: \: \: \: \: 3\frac{1}{4} = \frac{1}{2} + w \\ w = \frac{1}{2} - 3 \frac{1}{4} \\ w = \frac{12 + 2}{4} \\ w = \frac{14}{4} = \frac{7}{2} \\ please \: mark \: brainliest[/tex]

Answer:

c. 0.6

Step-by-step explanation:

A student cannot receive an A or a B simultaneously, so [tex]P(A \cap B) = 0[/tex].

Grade of A equals .30 and the probability of receiving a grade of B equals .30.

This means that [tex]P(A) = P(B) = 0.3[/tex]

The probability that a randomly selected student from this class will receive either an A or a B equals:

This is:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.3 + 0.3 - 0 = 0.6[/tex]

So the probability is 0.6, and the correct answer is given by option c.

3.) If y varies directly as x and y = 24 when x = 6, find the variation constant and the equation of variation.

A. Express the statement “y varies directly as x”, as y = kx .

B. Solve for k by substituting the given values in the equation.

[tex]\sf\rightarrow{y = kx}[/tex]

[tex]\sf\rightarrow{24 = 6k}[/tex]

[tex]\sf\rightarrow{K = \frac{24}{6} }[/tex]

[tex]\sf\rightarrow{K={\color{magenta}{4}}}[/tex]

C. Form the equation of the variation by substituting 4 in the statement y = kx. Thus , y = 4 x.

[tex]{\large{—————————————————————}}[/tex]

#CarryOnMath⸙

Answer:

54

Step-by-step explanation:

Angle 2 and Angle 3 are vertical angles

Vertical angles are congruent ( equal to each other )

So if angle 2 = 54 then angle 3 also equals 54

Answer:

∠3 = 54°

Step-by-step explanation:

54° and ∠3 are vertical angles, which means they are equal .

54° = ∠3

Answer:

28 days

Step-by-step explanation:

4 x 7 x 30= 840 total working hours

5 x 6 x n = 840

= n = 840 ÷ 30

= n = 28 days

The task will take approximately 1 day to complete with 5 people working for 6 hours per day.

Total work done in the first scenario = 4 × 7 × 30

= 840 work hours

Total work done in the second scenario = (5 × 6 × D)

= 4 × 7 × 30

Solving for D:

30D = (4 × 7 × 30) / (5 × 6)

D = (4 × 7) / (5 × 6)

D = 28 / 30

D ≈ 0.9333

Rounding up to the nearest whole day, D = 1

Therefore, the task will take approximately 1 day to complete with 5 people working for 6 hours per day.

Learn more on time calculation here https://brainly.com/question/26046491

Answer:

10

solution

100-98 =2

96-94 = 2

92-90 = 2

8-6 = 2

4-2 =2

2+2+2+2+2=10✓

Step-by-step explanation:

5(x + 7) = 15

x+7=3

x=-4!!!!!!

Answer:

x = -4

Step-by-step explanation:

Solve for x

Divide each side by 5

subtract 7 from both side

Answer:

1/24

Step-by-step explanation:

13/6x = 52

1/6x = 52/13

1/6x = 4

1 = 4(6x)

1 = 24x

24x = 1

x = 1/24

Answer:

(last part)

25%

27.8%

290%

300%

67%

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

Given :

 [tex]y = 7x^2 - 10[/tex]

Replace x and y :

  [tex]x = 7y^2 - 10 \\[/tex]

Now solve for y :

[tex]x = 7y^2 - 10 \\\\x + 10 = 7y^2 - 1 0+ 10[/tex]                               [tex][ \ adding \ 10 \ on \ both \ sides \ ][/tex]

[tex]x + 10 = 7y^2\\\\\frac{x + 10 }{7 } = \frac{7y^2}{7}[/tex]                                              [tex][ \ dividing\ by \ 7 \ on \ both \ sides \ ][/tex]

[tex]\frac{x+ 10}{7} = y^2\\\\\pm \ \sqrt{\frac{x+ 10}{7}} = y[/tex]

I think the choose (2)

[tex]y = - + \sqrt{ \frac{x + 10}{7} } [/tex]

Answer:

10145

Step-by-step explanation:

5 times 950 equals 4750

and 6.5 times 830 equals 5395

add first and second value

4750 + 5395 equals 10145

there is no arguing

Answer:

10145 km

Step-by-step explanation:

Time x speed = Distance

5 x 950 = 4750

6.5 x 830 = 5395

add together = 10145

Answer:

1.84metres

Step-by-step explanation:

convert 76cm to metres

76/100=0.76m

convert 8cm to metres

8/100=0.08m

therefore we have,

1+0.76+0.08=1.84metres

Answer:

............Ans..............

Answer:

3/4 ft / second

Step-by-step explanation:

15 ft / 20 seconds

Divide the top and bottom by 5

3/4 ft / second

Answer:

[tex] \frac{3}{4} [/tex]ft/sec

Step-by-step explanation:

[tex] \frac{feet}{sec} = \frac{15}{20} [/tex]

[tex] \frac{15}{20} \frac{ \div 5}{ \div 5} = \frac{3}{4} [/tex]

49 dollars

Step-by-step explanation:

14 times 3 is 42 and 3.50 times 2 is 7, so 42 plus 7 is 49.

Total cost with 2 snacks = $35

Total cost with x  snacks = 28+3.50x

Given :

Carson is going to see a movie and is taking his 2 kids. Movie ticket costs $14 and snacks cost $3.50.

Explanation :

Carson buys 2 snacks . we need to find the total cost that Carson have to pay where he buy 2 snacks.

Total cost = cost of ticket (2 kids) + cost of 2 snacks

[tex]Total \; cost = 14(2) + 2(3.50)=35[/tex]

Total cost with 2 snacks = $35

Total cost with x snacks = cost of ticket (2 kids) + cost of x snacks

[tex]Total \; cost = 14(2) + 3.50(x)\\Total \; cost = 28+3.50x[/tex]

Total cost with x  snacks = 28+3.50x

Learn more :  brainly.com/question/17565961

Answer:

The slope is 7/4 and the y intercept is -10

Step-by-step explanation:

y=7/4x-10

This equation is written is slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 7/4 and the y intercept is -10

The side YZ=9 cm of the right angle

We have given that,

Triangle X Y Z is shown. Angle X Y Z is a right angle and angles Y Z X and Z X Y are 45 degrees. The length of side Y X is 9 centimeters.

The length of segment XY is 9 cm.

We have to determine the statements regarding triangle XYZ are correct.

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

The right angle with angles 45-45-90 has two side same.

Therefore the side YZ=9 cm bc of the right angle

To learn more about the right-angle triangle visit:

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Answer:

a. 74.86%

b. 50%

c. 50%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 49 pounds, and a standard deviation of 6 pounds.

This means that [tex]\mu = 49, \sigma = 6[/tex]

a. Find the percentage of dogs of this breed that weigh less than 53 pounds.

The proportion is the p-value of Z when X = 53. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{53 - 49}{6}[/tex]

[tex]Z = 0.67[/tex]

[tex]Z = 0.67[/tex] has a p-value of 0.7486.

0.7486*100% = 74.86%, which is percentage of dogs of this breed that weigh less than 53 pounds.

b. Find the percentage of dogs of this breed that weigh less than 49 pounds.

p-value of Z when X = 49, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49 - 49}{6}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5

0.5 = 50% of dogs of this breed that weigh less than 49 pounds.

c. Find the percentage of dogs of this breed that weigh more than 49 pounds.

1 subtracted by the p-value of Z when X = 49, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49 - 49}{6}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5.

1 - 0.5 = 0.5 = 50% of dogs of this breed that weigh more than 49 pounds.

Answer:

The current value of the stamp collection is of $2,191.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

A stamp collection is purchased for $1,000.

This means that [tex]P = 1000[/tex]

The rate of return on the stamp collection is 4% per year

This means that [tex]n = 1, r = 0.04[/tex]

So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 1000(1 + 0.04)^{t}[/tex]

[tex]A(t) = 1000(1.04)^{t}[/tex]

What is the current value of the stamp collection?

This is A(20). So

[tex]A(20) = 1000(1.04)^{20} = 2191[/tex]

The current value of the stamp collection is of $2,191.

Answer:

Step-by-step explanation:

y = 1000(1+0.04)^20

y = 1000(1.04)^20

Rounded to the nearest hundredth

y = 1000(2.19)

y = $2190

Answer:

Step-by-step explanation:

domain is x component so

domain = {-3 , -2 , -1 , 0 , 1 , 2 , 3 }

range is y component so

range = { -22 , -8 , 2 , 8 , 10 , 2 }

note : repeated element can be written only one time. For eg here in range 8 is 2 times but we can write only one time because it is the rule for lisying range and domain.

Answer:

12.94 units

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

✔️Distance between A(1, 1) and B(3, 5):

[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] A(1, 1) = (x_1, y_1) [/tex]

[tex] B(3, 5) = (x_2, y_2) [/tex]

[tex] AB = \sqrt{(3 - 1)^2 + (5 - 1)^2} [/tex]

[tex] AB = \sqrt{(2)^2 + (4)^2} [/tex]

[tex] AB = \sqrt{4 + 16} [/tex]

[tex] AB = \sqrt{20} [/tex]

AB = 4.47 units

✔️Distance between B(3, 5) and C(5, 1)

[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] B(3, 5) = (x_1, y_1) [/tex]

[tex] C(5, 1) = (x_2, y_2) [/tex]

[tex] BC = \sqrt{(5 - 3)^2 + (1 - 5)^2} [/tex]

[tex] BC = \sqrt{(2)^2 + (-4)^2} [/tex]

[tex] BC = \sqrt{4 + 16} [/tex]

[tex] BC = \sqrt{20} [/tex]

BC = 4.47 units

✔️Distance between A(1, 1) and C(5, 1):

AC = |1 - 5| = 4 units

✅Perimeter of ∆ABC = 4.47 + 4.47 + 4 = 12.94 units

Answer:

9-4+(5x3)

Step-by-step explanation:

9-4+15

24-4

20

Answer:

The new price is 48

Step-by-step explanation:

First find the markup

50% of 32

.5 * 32 = 16

Add the markup to the original price

16+32 = 48

The new price is 48

Answer:

$48

Step-by-step explanation:

32 * 0.50 = 16

32 + 16 = 48

Hope this is helpful

Answer:

a

Step-by-step explanation:

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