Twice the sum of a number and 4.

The slope of the line c is - 92.

The points via which the line b passes are:

(-20, 4) and (-21, 96).

The slope of the line is given by:

m = (y₂ - y₁) / (x₂ - x₁)

Slope of the line b passing through these points are:

m = (96 - 4) / (- 21 + 20)

m = (92) / (-1)

m = - 92

Since, line b is parallel to line c,

Slope of line b = slope of line c

So, the slope of line c is also:

m' = - 92

Therefore, we get that, the slope of the line c is - 92.

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Answer:-

Step-by-step explanation:

-120 - 40- would be -160 because when negative you go up when subtracting.

(not sure if I'm right. take this answer at your own risk)

Step-by-step explanation:

Since the initial fee is fixed, we can assume it is a constant and the succeeding mile fee is the variable as it changes for every mile covered.

Let x = distance (mile)

let y = total charge (dollars)

Yellowcab company equation for cost calculation;  3.50 + 2.5x = y

laxicab company equation for cost calculation;  4.54+2.3x = z

the two companies charge the same amount when y = z

; 3.50 + 2.5x = 4.54+2.3x

x = 5.2 miles

COST CALCULATION

;3.50 + 2.5x = ?

if x = 5.2;

; 3.50 + 2.5(5.2) =$16.50

OR

; 4.54+2.3x = ?

; 4.54 + 2.3(5.2) = $16.50

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

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The ratio of a bag of flour to a bag of sugar is 3:1

A ratio can be defined as the relationship or comparison between two entity of the same unit.

Represent a bag of flour = x

a bag of sugar= y

6 bags of flour plus 6 bags of sugar is 50pounds

6x+6y= 50

8 bags of flour is also 50 pounds

8x= 50

Therefore a bag of flour is

x= 50/8

from 6x+6y= 50

6y= 2x

y= 2×50/48

y= 50/24

x:y=50/8:50/24

multiply the two ratios by 24

x:y= 150:50

x:y= 3:1

The ratio of flour to sugar is 3:1

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Answer:

Step-by-step explanation:

Number of hurricanes in year 2008 = 8

Number of hurricanes in year 2009 = 3

Decrease in number of hurricanes = 8 - 3 = 5

Percent of decrease in number of hurricanes = \(\frac{5}{8}\times 100\) = 62.5%

Number of hurricanes in year 2010 = 12

Number of hurricanes in year 2011 = 7

Decrease in number of hurricanes = 12 - 7 = 5

Percentage decrease in number of hurricanes = \(\frac{5}{12}\times 100\) = 41.7%

Decrease in numbers of hurricanes in year 2010 - 11 was same as in year 2010 - 11.

Percentage decrease in hurricanes were more in year 2008 - 09 than percentage decrease in year 2010 - 11.

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

➷ T\(\boxed{4}\) B\(\boxed{24}\)

✽ Ok, so B is the number of boys and T is the number of teachers.

➷ \(t \div ( B + 18) = \frac{2}{21}\)

\(\frac{B}{18} = \frac{4}{3}\)

✽ Then solve the second equation for B.

➷ \(B = 24\)

✽ Plug into the first equation to find T.

➷ \(T \div (24 + 18) = \frac{2}{21}\)

\(T = 4\)

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Answer:

The Slope= -13/3

y-intercept= (0,5/3)

Step-by-step explanation:

m= change in y/change in x

m= y2-y1/x2-x1

m=6-(-7)/ -1-(2)

m=-13/3

Answer:

C. 39 ft²

Step-by-step explanation:

Area of the outer rectangle which includes the white triangle

= length x width

= 5 x 9

= 45  ft²

Area of the white triangle

= 1/2 x base x height

= 1/2 x 4 x 3

= 6 ft²

Area of shaded region
= Area of rectangle - Area of triangle

= 45 - 6

= 39 ft²

The equation h(t) = -16t² + 24t is an illustration of a quadratic model

The equation that represents the path of the kick ball is given as

h(t) = -16t² + 24t

The fielder catches the ball at a height of 3 ft above the ground.

This means that:

h(t) = 3

So, we have:

-16t² + 24t = 3

Hence, the equation when the fielder catches the ball is -16t² + 24t = 3

In (a), we have:

-16t² + 24t = 3

Rewrite as:

-16t² + 24t - 3 = 0

Next, we determine the solutions of -16t² + 24t - 3 = 0 using a graphing technology

From the graph (see attachment), we have the following solutions

t = 0.14 and t = 1.36

Hence, the fielder will catch the ball after 0.14 seconds or 1.36 seconds

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Answer:

4 5/6 = n

Step-by-step explanation:

5 1/2 = n+ 2/3

Subtract 2/3 from each side

5 1/2 - 2/3 = n+ 2/3 -2/3

5 1/2 - 2/3 = n

Get a common denominator of 6

5 1/2 * 3/3 = 5 3/6

2/3 = 2/3 * 2/2 = 4/6

5 3/6 - 4/6 = n

We need to borrow 1 from the 5 in the form of 6/6

5 3/6 = 4 6/6+ 3/6 = 4 9/6

4 9/6 - 4/6 =n

4 5/6 = n

Answer:

B, E, AND F

Step-by-step explanation:

because they are the equilivient ones

Answer: A. 33

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

5x +10 = 90

5x =90-10

5x=80

5x/5=80/5

x=16

Answer:

x = 16

Step-by-step explanation:

m∠FGE is a right angle so therefore it is 90°

5x+10=90

5x=80

80/5=16

hope this helps!

Answer:

27cm

Step-by-step explanation:

\(s + s + s = p \\3x + x + x = 45 \\ 5x = 45 \\ \frac{5x}{5} = \frac{45}{5} \\ x = 9\)

That's the length of one of its legs

The length of the base = 3x

= 3 x 9

= 45cm

Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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Answer:

40%

Step-by-step explanation:

First, we must find out how many perfect squares are between 1 and 10.

1, 2, 4, 9,

Now, we put that quantity over 10.

4              2

--      =      --

10            5

Given the points R, S, T, Q on a circle O, m (arc) RS + m (arc) ST + m (arc) TQ = m (arc) RQ

A circle is an object in which all distances are equal from the centre.  The distance from the center of the circle to any point on the circumference is the radius of the circle

The given points are  R, S, T, Q on Circle O -

This implies that m (arc) RS + m (arc) ST = m (arc) RT , m (arc) RT + m (arc) TQ = m (arc) RQ - Arc

Also, m (arc) RS + m (arc) ST + m (arc) TQ = m (arc) RQ

In conclusion each of the arc are equal because they measure the same

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After answering the provided question, we can conclude that the average (arithmetic mean) of 2x and 2y is 48.

The mean of a dataset is the sum of all values divided by the total number of values; this is also known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the total number of values in the dataset by the sum of those values yields this result. Calculations can be performed using both raw data and data that has been combined into frequency tables. The average of a number is referred to as its average. It is simple to calculate: Divide the total number of digits by the number of digits. the total divided by the count.

The average (arithmetic mean) of 2x and 2y is 48.

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Answer:

16a

Step-by-step explanation:

14a+2=14+2+a=16a.

Answer:

9/25

Step-by-step explanation:

36/100 = 9/25

The probability that a randomly selected teacher makes less than $46,800 per year is 0.0808

According to the question,

If X is random variable follows normal distribution

The average teacher's salary in Connecticut = $57,337

The standard deviation = $7500

We have to find the probability that a random selected teachers makes less than $46,800 = P( X < 46,800 )

subtracting by $57337  and dividing by $7500

=>  P( X- 57337 / 7500 < 46,800-57337 / 7500)

=> P( z < -10537 / 7500)

=> P(z < -1.404)

Using z- probability distribution table ,

=> 0.0808

If we take 85 sample of teachers,

Then the probability that the sample mean is less than $56,200 = P(x < 56200)

subtracting by $57337  and dividing by $7500

=> P(x-57337 / 7500 < 56200 - 57337 / 7500)

=> P( z < -0.1516)

Using z- probability distribution table ,

=> 0.4404

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Answer:

$100.00

Step-by-step explanation:

5 and above ex: 150 =200 140=100 under 5 keep the first letter then turn the other numbers into 0's 5 and above make the first number go up one then turn the rest of the numbers in to 0's

Answer:

30 dollars

Step-by-step explanation:

if the mom and son have 30 and 36, the highest value you can get from both would be 30

Answer:

The greatest donation they can make is 30 dollars

Step-by-step explanation:

Money Word Problem

Let us analyze the given problem.

What is asked?

The greatest donation that Anthony and Jennifer can make.

What are the given?

Anthony's money - 30 dollars

Jennifer's money - 36 dollars

Finding the greatest donation that they can make, means finding their greatest common factor. Then, find out how many of their common factor they can get from their money.

How to find the greatest common factor?

There are three steps to find the GCF of two numbers:

1. Find all the factors of each number.

2. Find the common factors.

3. Choose the greatest factor or number.

Solution:

30 = 1, 3, 5, 6, 10, 30

36 = 1, 2, 3, 4, 6, 9, 12, 36

The greatest common factor is 6.

Now we need to know how many sixes we can get from their money.

30 = 6+6+6+6+6

36 = 6+6+6+6+6+6

Therefore, we can get 5 sixes from their money.

5 × 6 = 30

Final Answer:

The greatest donation that they can make is 30 dollars.

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Answer:

49

Step-by-step explanation:

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

I solved C first using:

30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)

-

I solved A by looking across from C.

Angles on opposite sides should mirror each other but A includes 38* + C

Just by doing 112 + 38 you get 150.

-

I solved D by looking at 30*, alternative interior angles are the same so D is 30*.

-

I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.

Interior angles of a triangle should all add up to 180,

112 + 30 + B = 180

From this I got that B was 38.

Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.

I suggest reviewing this angles sheet if you're ever stuck in the future.

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

An equilibrium phase diagram can be used to determine phase transitions, phase presence, and phase compositions at different conditions.

An equilibrium phase diagram can be used to determine the below mentioned parameters:

A) It can determine where phase transitions will occur. Phase transitions refer to changes in the state or phase of a substance, such as solid to liquid (melting) or liquid to gas (vaporization). The phase diagram provides information about the conditions at which these transitions take place, such as temperature and pressure.

B) It can determine what phases will be present for each condition of chemistry and temperature. The phase diagram shows the different phases or states of a substance (such as solid, liquid, or gas) under different combinations of temperature and pressure. It provides a visual representation of the stability regions for each phase, indicating which phase(s) will be present at a given temperature and pressure.

C) It can determine the chemistry and amount of each phase present at any condition. The phase diagram gives information about the composition (chemistry) and proportions (amount) of different phases present under specific conditions. It helps identify the coexistence regions of multiple phases and provides insight into the equilibrium compositions of each phase at various temperature and pressure conditions.

In summary, an equilibrium phase diagram is a valuable tool in understanding the behavior of substances and can provide information about phase transitions, phase stability, and the chemistry and amounts of phases present at different conditions.

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