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3 years ago

Can someone help me out?

Mathematics

1 answer:

olasank [31]3 years ago

8 0

Answer:

Slope is positive.

Every additional hat produced results in a cost increase of $0.60

Before producing any hats the cost is about $100

Step-by-step explanation:

Calculate the slope or rate of change using two data points from the table.

$m = \frac{111-105}{20-10} =\frac{6}{10}$

This means that the cost rises by $6 for every 10 hats or 0.60 per 1 hat. The slope is positive and increasing.

This also means that for 0 hats the cost is 105-6 = 99 or about $100.

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Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3

Nat2105 [25]

Question:

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

Answer:

The actual length of Hector room is 14 foot

Solution:

Given that, On the floor plan, his bedroom is 3 inches wide and $3\frac{1}{2}$ inches long

The scale of floor plan is given as:

$\frac{1}{4} \text{ inch} = 1 \text{ foot }$

Therefore,

$1 \text{ inch } = 4 \text{ foot}$

To find: Actual length of floor

From given question,

$length = 3\frac{1}{2} \text{ inches}$

Converting the mixed fraction to improper fraction,

$length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }$

Since, 1 inch = 4 foot

$\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }$

Thus actual length of Hector room is 14 foot

6 0

3 years ago

Correlation coefficients fall in a scale from -1.0 to 1.0 and show how ________ the points are on the scatter plot around a ____

Shkiper50 [21]

Did they give multiple Choice

7 0

3 years ago

Which of the following statements is true?

Inessa05 [86]

Answer: the number -5 is a real number

Real numbers are both negative and positive numbers. -5 is a negative number. Since real numbers include negative numbers, -5 is the answer.

Hope this helps!

7 0

3 years ago

How many solutions does the equation |x + 6| − 4 = c have if c = 5? If c = −10? Complete the explanation

mixer [17]

Answer:

<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>

Step-by-step explanation:

We know

$|a|\geq0$

for any real value of a.

|a| = b > 0 - two solutions: a = b or a = -b

|a| = 0 - one solution: a = 0

|a| = b < 0 - no solution

|x + 6| - 4 = c

for c = 5:

|x + 6| - 4 = 5 add 4 to both sides

|x + 6| = 9 > 0 TWO SOLUTIONS

for c = -10

|x + 6| - 4 = -10 add 4 to both sides

|x + 6| = -6 < 0 NO SOLUTIONS

Calculate the solutions for c = 5:

|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9 subtract 6 from both sides

x = 3 or x = -15

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3 years ago

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Maru [420]

Answer:

minus 7a plus 11

Step-by-step explanation:

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3 years ago