Write an equation in point-slope form of the line that passes through (-1,

Ruth is knitting hats to sell at a local fair. The booth costs her $63 and the materials for each hat cost $10. She plans on sel

aev [14]

Answer: Ruth have to make 7 hats to break even.

Step-by-step explanation:

Break even point is a point where Cost = Revenue.

Let x be the number of hats sold.

Given: Cost of booth = $63

Each hat cost = $10

Selling price for each cost = $19

As per given,

Total cost = Cost of booth+ (Cost of each hat)(Number of hats)

= 63+10x

Total selling price = 19x

For break even,

63+10x=19x

9x=63

x=7

Hence, Ruth have to make 7 hats to break even.

7 0

3 years ago

Two stores sell a certain product. Store A has 45% of the sales, 3% of which are of defective items, and store B has 55% of the

Mumz [18]

Answer:

$Probability = 0.0355$

Step-by-step explanation:

Given

Stot A:

$Sales = 45\%$

Defective = 3%

Store B

$Sales = 55\%$

Defective = 4%

Required

Determine the probability a product received is defective.

First, we calculate the probability that the defective product is from store A

$Probability = P(Sales) * P(Defective)$

$P_A = 45\% * 3\%$

Convert to decimals

$P_A= 0.45 * 0.03$

$P_A= 0.0135$

Next, we calculate the probability that the defective product is from store B

$P_B= 55\% * 4\%$

$P_B= 0.55 * 0.04$

$P_B= 0.022$

The product may come from either stores.

So, the probability of having a defective product is:

$Probability = P_A + P_B$

$Probability = 0.0135 + 0.022$

$Probability = 0.0355$

4 0

3 years ago

_____?? help ??______ and NO FILES OR LINKS

posledela

314 m is the correct answer.

3 0

3 years ago

Read 2 more answers

The Jonesboro Education Department decided to celebrate opening a new school by baking one of the biggest chocolate chip cookies

Aleks [24]

74.6786 m² is the answer.

Step-by-step explanation:

Step 1 :

we know that the diameter (D) of the cookie = 32 ft

Converting dimensions from feet (ft) to meter (m)

1 ft = 0.3048 m

32 ft = 32 × 0.3048

= 9.7536 m

Step 2 :

To find the surface area of the cookie we have the formula,

Area (A) = π . r²

Diameter (D) = 32 ft

∴ d = 2r

d/2 = r (radius)

32 ÷ 2 = r

r = 16 16 feet = 4.8768 m

π . r² = 3.14 × (4.8768)² = 3.14 × 23.783

= 74.6786 m²

7 0

4 years ago

Is the graph increasing, decreasing, or constant?

djyliett [7]

Answer:

It is increasing.

Step-by-step explanation:

Given the graph of a straight line, there are several ways to find its equation.

Method 1: This method works only if the y intercept is visible.

Find any two points, (x1, y1) and (x2, y2), on the line and substitute their coordinates into the following formula to get m:

Get b from inspection of the y intercept of the graph.

Substitute the numbers that you have obtained for m and b into the equation y = m x + b.

Method 2: This method works even if the y intercept is not visible.

As in method 1, find any two points, (x1, y1) and (x2, y2), on the line and substitute their coordinates into the following formula to get m:

Substitute the number that you obtained for m into the equation y = m x + b. Also, take one of the points, say (x1, y1), and substitute its coordinates into the equation. This gives:

y1 = m x1 + b

It may not look like it, but this equation has only one variable, b, and you can easily solve for it.

Substitute the numbers that you have obtained for m and b into the equation y = m x + b.

Method 3: This method has the advantage that it uses only algebra, not geometry, and can be applied to any type of function, not just the straight line:

Find two points, (x1, y1) and (x2, y2), that are on the line. Take the first point, (x1, y1), and substitute it into the straight line equation, y = m x + b. This gives:

y1 = m x1 + b

Similarly, take the second point, (x2, y2), and substitute it into the straight line equation, y = m x + b. This gives:

y2 = m x2 + b

Together, these two equations constitute a system of two equations in the two unknowns, m and b. We can solve them for m and b using the elimination method. To be specific, if we subtract the first equation from the second, then b is eliminated and we get the equation:

y2 − y1 = m x2 − m x1,

which, when solved for m, gives the same equation as in the other two methods, namely:

Find b by back-substitution. To be specific, substitute the number that you obtained for m into one equation of the system of equations, say into y1 = m x1 + b. It may not look like it, but this equation has only one variable, b, and you can easily solve for it

7 0

3 years ago

Write an equation in point-slope form of the line that passes through (-1, – 4) with slope -2.