Answer:
a. 3⁄10 + 6⁄10 = 9/10
b. 1⁄3 + 1⁄4 + 1⁄6 = 3/4
c. 5⁄6 – 3⁄6 = 1/3
d. 2⁄3 – 6⁄10 = 1/15
e. 4⁄10 × 3⁄7 = 6/35
f. 1⁄6 × 6⁄15 = 1/15
g. 1⁄8 ÷ 4⁄9 = 9/32
h. 1⁄5 ÷ 3⁄4 = 4/15
Step-by-step explanation:
a. 3⁄10 + 6⁄10
= 3*1 + 6*1 / 10
= 3+6/10
= 9/10
b. 1⁄3 + 1⁄4 + 1⁄6
since denominators are different we take LCM of 3,4,6 which is 12
= 1*4 + 1*3 + 1*2 / 12
= 4+3+2/12
= 9 ÷ 3 / 12 ÷ 3
= 3 / 4
c. 5⁄6 – 3⁄6
= 5 - 3 / 6
= 2 ÷ 2 / 6 ÷ 2 = 1/3
d. 2⁄3 – 6⁄10
LCM of 3 and 10 is 30
= 2 * 10 - 6 * 3 / 30
= 20 - 18 / 30
= 2 ÷ 2 / 30 ÷ 2 = 1/15
e. 4⁄10 × 3⁄7
= 12 ÷ 2 / 70 ÷ 2 = 6/35
f. 1⁄6 × 6⁄15
= 6 ÷ 6/90 ÷ 6 = 1/15
g. 1⁄8 ÷ 4⁄9
= 1/ 8 * 9/4
=9/32
h. 1⁄5 ÷ 3⁄4
=1/5 * 4/3
= 4/15
Answer:
A. a reflection over the x-axis and then a reflection over the y-axis
and
B. a reflection over the y-axis and then a reflection over the x-axis
Step-by-step explanation:
Answer:
Question 1.
Question 2.
Explanation:
<u>Question 1. Boxed lunch.</u>
<em>The line of the random number table</em> shows these numbers:
There are <em>five different</em> types of <em>fruit</em>: <em>apple, banana, grapes, orange, and peach.</em>
Since there are 10 digits (0 - 9), in order for the random digits represent the event of picking some type of fruits, two different digits are assigned to each type of fruit.
It is stated that the digits <em>2</em> and <u>3</u> are assignated for <em>banana</em>.
Then, to use the random numbers to estimate <em>the probability that a boxed lunch will have a banana</em>, you must count the number of times a 2 or a 3 appears in the <em>line of the random number table</em>. That is why I bolded them.
There are in total 14 digits that are 2 or 3.
How many random numbers were generated: 50.
Hence, the probability is 14/50 = 7/25 = 0.28
<u>Question 2. Spinner</u>
The expected <em>number of times the spinner lands on green</em>, if you spin the spinner <em>90 times</em>, is equal to the probability times the number of times the spinner is spined.
-2x + 6y= 18 is in standard form, use y=mx+b to solve that.
Answer: -9.1
Explanation
-3x +12.4=39.7
First minus 12.4 from both sides
-3x +12.4=39.7
-12.4 -12.4
-3x=27.3
Now devid both sides by -3
X= -9.1