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Masja [62]
3 years ago
9

Let n be the middle number of three consecutive even integers. Write an expression for the sum of these integers.

Mathematics
1 answer:
Alisiya [41]3 years ago
6 0
N - 1 = 1st number
n = middle number
n + 1 = 3rd number

(n - 1) + n + (n + 1) = 3n <== ur expression
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Find the value of x for which ABCD must be a parallelogram.
Inessa [10]
Hey there!

You can tell that the two angles are congruent because of the arc. So make the two angles each other.
3x-17=25-3x. Add 3x to each side. You get 6x-17=25. Add 17 to each side to get 6x=42. Divide each side by 6. You get x=7. So the value of x would be 7.

I hope this helps!
3 0
3 years ago
Please help!<br> And explain the answers too!
RideAnS [48]
1) He worked 4 hours leaving 6 more hours for him.
rate for A alone 6 baker
rate for A & B together 4
1/a+1/b=1/x
1/6+1/b=1/4
1/b=1/4-1/6
1/b=6/24-4/24
1/b=2/24
1/b=1/12
b=12
rate for wife alone 12 hours for the remaining 6 hours
check
1/6+1/12=1/4
12/72+6/72=1/4
18/72=1/4
ok
codewa
But we want to know how long it would have taken her for the whole job not just part of it
he works twice as fast as she does so the job that takes him 10 hours alone would take her 20 hours alone.

2) jessica and cynthia work in a pet shop.
it takes jessica 6 hours to groom all the pets but cynthia needs 8 hours to groom them.
if jessica starts to groom 1 hour before cynthia joins, how long will it take them to finish?
:
let t = time it takes them to finish (C's working time)
then
t+1 = J's working time
let 1 = completed job (all pets groomed)
:
A shared work equation, each does a fraction of the job, the two fractions add up to 1
%28%28t%2B1%29%29%2F6 + t%2F8 = 1
Multiply by the least common multiple of 6 and 8, 24. cancel the denominators
4(t+1) + 3t = 24
4t + 4 + 3t = 24
4t + 3t = 24 - 4
7t = 20
t = 20/7
t = 26%2F7 hrs, which is: 2 + 6%2F7*60 = 2 hrs 51.43 min to finish the job

3) math club takes 40 minutes
science takes 50 minutes.
rate * time = quantity
quantity = 1 set up of the tables.
rate for math club is 1/40 of all the tables in 1 minute.
rate for science club is 1/50 of all the tables in 1 minute.
math club works for 10 minutes.
rate * time = quantity
1/40 * 10 = 10/40 = 1/4 of the tables are already set up by the math club.
there are 3/4 of the tables that still need to be set up.
rate * time = quantity
the rates of the math club and the science club are additive.
(1/40 + 1/50) * time = 3/4 of the tables that still need to be set up.
common denominator is 200.
(5/200 + 4/200) * time = 3/4.
9/200 * time = 3/4
time = 3/4 * 200/9 = 600 / 36 = 16 and 2/3 minutes.
total time required is 10 + 16 + 2/3 minutes = 26 + 2/3 minutes.
how to check.
10 minutes is used to do 1/4 of the tables.
16 + 2/3 minutes is used to do the remaining 3/4 of the tables.
combined rate of math and science club is 9/200 of the tables in 1 minute.
math club rate of 1/40 * 10 = 10/40 = 1/4 of the tables.
combine rate of 9/200 * (16 + 2/3) = 9/200 * 50/3 = 450/600 = 9/12 = 3/4 of the tables.
1/4 + 3/4 = 1 = all of the tables.

6 0
2 years ago
Jessica and Nancy are members of different video game libraries. Jessica pays a membership fee of $40, and she pays $5 for every
DaniilM [7]
36 because I did this on my test before
5 0
3 years ago
Write a linear function f with the values f(0)=−3 and f(7)=11 <br> A function is f(x)=
Rudik [331]

Answer:

f(x) = 2x - 3

Step-by-step explanation:

x    y

0  -3

7   11

when x = 0, y = -3.  When x increases by 7, y increases by 14, or when x increases by 1, y increases by 2.

4 0
2 years ago
The ratio of Tom's studying time on a weekday to his studying
lesantik [10]

Answer:

6 hrs

Step-by-step explanation:

4:5

2.4 : 3.2

2.4+3.2=6 hrs

6 0
3 years ago
Read 2 more answers
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