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2 years ago

SECTION 1-1 PRACTICE

Mathematics

1 answer:

Tasya [4]2 years ago

8 0

Answer:

Your straight-time pay is $195.

Step-by-step explanation:

a) Data and Calculations:

Employee Regular Hourly Rate х Hours Worked = Straight-Time Pay

Wright, S. $8.00 36

Reardon, E. 7.50 18

Levitt, R. 16.20 30

Maguire, M. 10.25 243

Reyes, A. 14.525 31.125

Vadola, G. 26.675 25.625

b) If you earn $6.50 per hour and work 30 hours this week, your straight-time pay is $195 ($6.50 * 30). The straight-time pay is determined by multiplying the number of hours worked in a period by the hourly rate.

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What is the slope of the line which passes through (4, 5) and (0, 1)?

Aloiza [94]

The answer would be B.

8 0

3 years ago

elect the correct answer from each drop-down menu. A system of linear equations is given by the tables. x y -5 10 -1 2 0 0 11 -2

sergeinik [125]

Answer:

First equation: y = -2x

Second equation: y = 3 - x

Solution: (1, -2)

Step-by-step explanation:

Assuming the ordered pairs of the tables are:

Table 1

(-5, 10) (-1, 2) (0, 0) (11, -22)

Table 2

(-8, -11) (-2, -5) (1, -2) (7, 4)

To create a linear equation, pick 2 ordered pairs. Calculate the slope by using the slope formula, then use the points-slope form of the linear equation to form the equation.

$\textsf{slope }m=\dfrac{\textsf{change in }y}{\textsf{change in }x}$

$\textsf{point-slope form : }y-y_1=m(x-x_1)$

Equation 1

$\textsf{slope }m=\dfrac{2-10}{-1+5}=-2$

$y-0=-2(x-0)\\\\\implies y=-2x$

Equation 2

$\textsf{slope }m=\dfrac{-5+11}{-2+8}=1$

$y+11=1(x+8)\\\\\implies y=x-3$

Solution to the System

Equate the equations and solve for x:

-2x = x - 3

⇒ 0 = 3x - 3

⇒ 3x = 3

⇒ x = 1

Substitute found value of x into one of the equations and solve for y:

y = 1 - 3 = -2

Therefore, the solution is (1, -2)

4 0

2 years ago

15. The average speed that a tsunami (a large tidal wave) travels is represented

irina [24]

Correct question :

The average speed that a tsunami (a large tidal wave) travels is represented

by the function $s = (200d)^1^/^2$ where s is the speed (in miles per hour) that the tsunami is traveling and d is the average depth (in feet) of the wave.

a. Find the inverse of the function.

b. Find the average depth of the tsunami when the recorded speed of the wave is 250 miles per hour.

Answer:

a) $d = \frac{s^2}{200}$

b) 312.5 ft

Step-by-step explanation:

Given:

Average speeds, $s = (200d)^1^/^2$

a) To find the inverse of the function.

$s = (200d)^1^/^2$

s² = 200d

200d = s²

$d = \frac{s^2}{200}$

Therefore, inverse of the function =

$d = \frac{s^2}{200}$

b) average depth when speed is 250 miles per hour.

Average depth = d

Therefore, let's use the formula :

$d = \frac{s^2}{200}$

$= \frac{250^2}{200}$

$= \frac{62500}{200}$

d = 312.5 feet

The average depth when speed is 250 miles per hour is 312.5 ft

3 0

3 years ago

Read 2 more answers

Show me how to make 33 in four different ways

tamaranim1 [39]

30+3
11*3
10*3+3
60-30+3

(sorry if these didn't help i'm a beginner and i'm in 7th grade)

7 0

3 years ago

How would you calculate the area and perimeter of 3yd 6yd 5yd 10yds

spayn [35]

Okay, start with the smaller square, you know the side length is 3 and that the width is 5, multiply this together:
3 * 5 = 15

That's the smaller left side of this shape, now the bigger side, divide the 10 yards at the bottom by 2 to properly represent the other side then multiply this by the 6 over there.
5 * 6 = 30

Conclusion for Area: After adding the results the answer should be 45.

The perimeter is solely adding all the sides together. You have a 10, two 5's, one 6, and two 3's. Add this together:

10 + 5 + 5 + 6 + 3 + 3 = 32

Conclusion for Perimeter: So the perimeter would be 32.

I hope this helps in someway, have a great rest of your day! ^ ^
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3 0

3 years ago