the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.
<h3>
How to find the product between two mixed numbers?</h3>
A mixed number is a number that is written as the addition of a whole number and an improper fraction.
Remember that the mixed number "negative two and one third" is written as:
-2 ¹/₃ = (-2 - 1/3)
Here we want to solve the product:
(-2 - 1/3)*(-5 - 15/100)
Notice that all the signs are negative, so the outcome will be positive:
(-2 - 1/3)*(-5 - 15/100) = 2*5 + (1/3)*5 + 2*(15/100) + (1/3)*(15/100)
= 10 + 5/3 + 30/100 + 5/100
= 10 + 5/3 + 3/10 + 1/20
= 10 + 3/3 + 2/3 + 6/20 + 1/20
= 11 + 2/3 + 7/20 = 11 + 40/60 + 21/60
= 11 + 61/60 = 11 + 60/60 + 1/60 = 12 + 1/60
Then the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.
If you want to learn more about mixed numbers, you can read:
brainly.com/question/1746829
#SPJ1
Answer:
A reflection across the x axis
Step-by-step explanation:
Parallelogram ABCD was reflected across the x axis to create parallelogram A'B'C'D'
The value of TY is 14
Given that CD is the perpendicular bisector of XY and ST and CY = 16
We need to find the value of TY
Here M is the midpoint of ST and D is the midpoint of XY
As shown in the diagram we can say that
CT = CS =12
We can also say that ST║XY
So , ∠CST = ∠CSY
∠CTS = ∠CYX
ΔSCT = ΔXCY
SX = CS - CX
= CY - CX
We can say that MT = SM = 5
DY = DX = 7
TY = SX = 4
CY = CX = 16
ST = SM + MT
ST= 5+5
∴ ST= 10
XY = XD +DY
XY = 7+7
∴ XY = 14
Hence the value of XY is 14
Learn more about Perpendicular bisector here brainly.com/question/11006922
#SPJ10
Answer:
1/3 kilometer in one minute
Step-by-step explanation:
8/24=1/3
Answer: y = -10
============================================================
Explanation:
There are two ways to solve this.
The first way is to divide both sides by -3 and then subtract 5 from both sides
-3(y+5) = 15
(-3(y+5))/(-3) = 15/(-3) ... divide both sides by -3
y+5 = -5
y+5-5 = -5-5 ... subtract 5 from both sides
y = -10
-----------------
Or we can distribute first, then add 15 to both sides, and finally divide both sides by -3
-3(y+5) = 15
-3(y)-3(5) = 15 ... distribute
-3y-15 = 15
-3y-15+15 = 15+15 ... add 15 to both sides
-3y = 30
-3y/(-3) = 30/(-3) ... divide both sides by -3
y = -10
Either way we get the same answer
-----------------
Let's check the answer
-3(y+5) = 15
-3(-10+5) = 15 ... replace y with -10
-3(-5) = 15
15 = 15
We get a true equation at the end after plugging in y = -10, so we have confirmed the answer