Answer:
5091 Km/hr and 505 km/hr
Step-by-step explanation:
Speed = Distance / Time
Let the speed of first automobile be 'x' and that of the second be 'y'
Since speed of one is 10 times greater than the other. therefore;
⇒ x = 10 y
also let time for faster automobile be 'T' and time for slower auto mobile be 't'
Since first arrive one hour earlier than second, therefore;
⇒ t = T + 1
⇒ For first automobile; 
; substituting for 'x' and 'T'. Therefore;
⇒ 
⇒ For Second automobile; 
⇒ 
⇒ 
⇒ 5600 + 
= 560
⇒ 5600 - 560 = -
⇒ t = 1.11 hr
also ; T = 1.11 - 1 = 0.11 hr
Speed of 1st auto = 560/0.11 = 5091 km /hr
Speed of 2nd auto = 560/1.11 = 505 km/hr
(1) The expected number of copies sold is 75
(2) The expected wage is $720
Explanation:
From the graph, we can see that x represents the number of copiers sold.
y represents the wages.
The equation of the graph is 
(1) Given that an employee earn $570.
We need to determine the number of copiers sold.
Let us substitute 
in the equation , we get,
Thus, the number of copiers sold is 75
(2) Given that if an employee sells 100 copiers, we need to determine the expected wage.
Let us substitute 
in the equation , we get,
Thus, the expected wage is $720
-------------------------------------------------------------------------------------------------------------
Answer: 
-------------------------------------------------------------------------------------------------------------
Given: 
Find: 
Solution: We need to first solve for y in the equation that was provided so we can determine the slope. Then we plug in the values into the point-slope form, distribute, simplify, and solve for y to get our final equation.
<u>Subtract 7x from both sides</u>
<u>Divide both sides by 4</u>
<u>Plug in the values</u>
<u>Simplify and distribute</u>
<u>Subtract 3 from both sides</u>
Therefore, the final equation in slope-intercept form that follows the information that was provided is y = -1.75x - 11.75
Answer:
0.88
Step-by-step explanation:
Given:
A spinner is divided into 4 sections using the colours: red, orange, yellow, and green. After 50 trials, the spinner landed on red 10 times, on orange 16 times, on yellow 6 times, and on green 18 times.
To find: probability of the spinner not landing on yellow
Solution:
Probability is the chance of occurrence of some event.
Total number of outcomes = 50
Number of favourable outcomes = 50 - 6 = 44
Probability of the spinner not landing on yellow = Number of favourable outcomes / Total number of outcomes = 
Answer:
a. - 1 3/4
b. 6
Step-by-step explanation:
For each, plug in the given number to the corresponding variable:
a. When x = -2. Plug in -2 for x in the given expression:
2^(-2) - 2
Simplify. Note that when a negative sign is located in the power sign, you would do the normal power, and then put the number over 1.
2^(-2) = 1/(2 x 2) = 1/4
Simplify:
1/4 - 2 = - 1 3/4
- 1 3/4, or -7/4 is your answer.
b. When x = 3. Plug in 3 for x in the given expression:
2^(3) - 2
Simplify. First solve the power, then subtract:
2^3 = 2 * 2 * 2 = 4 * 2 = 8
8 - 2 = 6
6 is your answer.
~
