Answer:
The number of women teachers attending the lecture is 1.
Step-by-step explanation:
Denote the variables as follows:
<em>M</em> = men
<em>W</em> = women
<em>T</em> = teacher
The data provided is:
n (M) = 23
n (W) = 29
n (T) = 4
n (M ∪ T) = 24
Compute the number of men teachers as follows:


Compute the number of women teachers as follows:



Thus, the number of women teachers attending the lecture is 1.
Answer:
the answer is 15x^8 y^3
Step-by-step explanation:
the area of a rectangle is length times width right? this means you have to multiply the values that represent the length and width. in this case those values would be 5x^6 y^2 and 3x^2 y
step 1. set up your problem
it should look like this:
(5x^6 y^2)(3x^2 y)
step 2. multiply the values with corresponding variables
first, x values
(5x^6)(3x^2)
5×3=15 and x^6 × x^2=x^8 when multiplying exponents you add the powers the numbers are raised to. in this case 6+2=8
you should end up with 15x^8
next, y values
y^2 + y
remember what i said about multiplying exponents? you just add the power the variables are raised to. in this case, 2 and 1. when their is no exponent we just add a 1. so, 2+1=3
you end up with y^3
lastly, combine
15x^8 + y^3 = 15x^8y^3
Answer:
-3/7 > b
Step-by-step explanation:
2/7> b+5/7
Subtract 5/7 from each side
2/7-5/7> b+5/7-5/7
-3/7 > b
22-7-7-7=1 this will show that you can subtract 7 three times from 22 and have a remainder of 1.
The question says they will run less than 36 miles, so this means they will run up to 35 miles.
They have run 22 so far, so t will be less than or equal to 35 - 22
T is less than or equal to 13.