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2 years ago

5

Tony is saving money to purchase a new TV that costs $276.99. He has $135 in his savings account already. If he earns $8.50 per

hour at his job, how many hours will Tony have to work to earn enough to buy a TV?
Answer choices: 8, 16, 17, 33

1 answer:

Natasha2012 [34]2 years ago

6 0

Answer:

I believe that Tony will have to work 16 or 17 hours to have enough money to buy the TV

Step-by-step explanation:

$276.99 - 135 = $141.99

$8.50 x 8 = $68

$8.50 x 16 = $136

$8.50 x 17 = $144.50

$8.50 x 33 = $280.50

$136 < $141.99 $144.50 > $141.99

$8.50 x 16 or $8.50 x 17

Check to see if the numbers are correct.

If they are you will have to make a choice.

I hope this helped. ☺

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How to find an equation for a line through two given points?

xz_007 [3.2K]

Answer:

The equation of the line is: $y = 0.6x + 0.6$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Two points:

We have these following two points in this exercise:

x = -6, y = -3, so (-6,-3)

x = 4, y = 3, so (4,3)

Finding the slope:

Given two points, the slope is given by the change in y divided by the change in x.

Change in y: 3 - (-3) = 3 + 3 = 6

Change in x: 4 - (-6) = 4 + 6 = 10

So

$m = \frac{6}{10} = 0.6$

Then

$y = 0.6x + b$

Finding b:

We replace one of the points in the equation to find b. I will use (4,3).

$y = 0.6x + b$

$3 = 0.6*4 + b$

$2.4 + b = 3$

$b = 0.6$

The equation of the line is: $y = 0.6x + 0.6$

4 0

2 years ago

Segment PH is graphed on the coordinate grid where P is (-31,8) and H is (29,-10). Point E is the midpoint of segment PH. If poi

maks197457 [2]

Answer:

The coordinates of point A are (-11 , 2)

Step-by-step explanation:

- The coordinates of point P are (-31 , 8)

- The coordinates of point H are (29 , -10)

- Point E is the mid-point of segment PH

- The coordinates of the the mid-point are:

→ $x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

∵ E is the mid-point of segment PH

∴ The x-coordinate of point E is $x=\frac{-31+29}{2}=-1$

∴ The x-coordinate of point E is -1

∴ The y-coordinate of point E is $y=\frac{8+-10}{2}=-1$

∴ The y-coordinate of point E is -1

∴ The coordinates of point E are (-1 , -1)

- Point A is graphed $\frac{2}{3}$ of the way along the segment from P to E

- That mean the distances from points P to A is 2 parts and from P to E

is 3 parts, then the distance from A to E is "3 - 2" = 1 part

- So point A divides the line segment PE at ratio 2 : 1 from P

- The coordinates of the division point are:

→ $x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and $y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

∵ Point A divides PE at ratio 2 : 1

∵ The coordinates of point P are (-31 , 8)

∵ The coordinates of point E are (-1 , -1)

∴ The x-coordinate of point A is $x=\frac{(-31)(1)+(-1)(2)}{2+1}= -11$

∴ The x-coordinate of point A is -11

∴ The y-coordinate of point A is $x=\frac{(8)(1)+(-1)(2)}{2+1}=2$

∴ The y-coordinate of point A is 2

∴ The coordinates of point A are (-11 , 2)

* The coordinates of point A are (-11 , 2)

3 0

3 years ago

In response to a gss question in 2006 about the number of hours spent per day watching television, the responses by the fifteen

NemiM [27]

Answer:

Standard error = 0.4

Step-by-step explanation:

Step 1

We find the Standard Deviation

The formula = √(x - mean)/n - 1

n = 15

Mean = 1.93 hours

= √(0- 1.93)² + (0-1.93)² +(0- 1.93)²+( 0- 1.93)²+ (1- 1.93)² + (1- 1.93)² +(1 - 1.93)² +(2 - 1.93)² + (2 - 1.93)² + (2 - 1.93)² + (2 - 1.93)² + ( 2 - 1.93)² +(4 - 1.93)² +(4 - 1.93)² + (5 - 1.93)²/15 - 1

= √(3.737777776 + 3.737777776 + 3.737777776 + 0.871111111 +0.871111111 + 0.871111111 + 0.004444444445+ 0.004444444445 + 0.004444444445 + 0.004444444445 + 0.004444444445 + 1.137777778 + 4.271111112 + 4.271111112 + 9.404444446)/15 - 1

= √2.352380952

= 1.533747356

Step 2

We find the standard error

The formula = Standard Deviation/√n

Standard deviation = 1.533747356

n = 15

= 1.533747356/√15

= 1.533747356 /3.87298334621

= 0.39601186447

Approximately = 0.4

Therefore, the standard error is 0.4

4 0

2 years ago

Whoever gets this right gets brainlyess answer and it's worth 10 points:)

swat32

They would be able to clean 7 cars in 56 mins

3 0

3 years ago

Read 2 more answers

Gallup conducted a survey from April 1 to 25, 2010, to determine the congressional vote preference of the American voters.15 The

Lisa [10]

Answer:

p ( x > 2746 ) = p ( z > - 1.4552 )

= 1 - 0.072806

= 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

Step-by-step explanation:

Given data:

51% of male voters preferred a Republican candidate

sample size = 5490

To win the vote one needs ≈ 2746 votes

In order to advice Gallup appropriately lets consider this as a binomial distribution

n = 5490

p = 0.51

q = 1 - 0.51 = 0.49

Hence $n_{p}$ > 5 while $n_{q}$ < 5

we will consider it as a normal distribution

From the question :

number of male voters who prefer republican candidate ( mean ) ( u )

= 0.51 * 5490 = 2799.9

std = $\sqrt{npq}$ = $\sqrt{5490 * 0.51 *0.49}$ = 37.0399 ---- ( 1 )

determine the Z-score = (x - u ) / std ---- ( 2 )

x = 2746 , u = 2799.9 , std = 37.0399

hence Z - score = - 1.4552

hence

p ( x > 2746 ) = p ( z > - 1.4552 )

= 1 - 0.072806

= 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

7 0

2 years ago