Answer: the length of the base is 290ft
The width of the base is 175 ft
Step-by-step explanation:
The base of the building is rectangular in shape.
Let L represent the length of the base of the building.
Let W represent the width of the base of the building.
The length of the base measures 60 ft less than twice the width. This means that
L = 2W - 60 - - - - - - - - -1
The perimeter of a rectangle is expressed as 2(length + width).
The perimeter of this base is 930ft. It means that
2(L + W) = 930
L + W = 930/2 = 465- - - - - - 2
Substituting equation 1 into equation 2 , it becomes
2W - 60 + W = 465
3W = 465 + 60 = 525
W = 525/3 = 175
L = 465 - W = 465 - 175
L = 290
Answer:
Karl works 7 hours a week
Step-by-step explanation:
Step 1: Determine total amount that Sally earns
Total amount Sally earns=rate per hour×number of hours worked(h)
where;
Rate per hour=$7 per hour
Number of hours worked=h
Replacing;
Total amount Sally earns=(7×h)=7 h
Step 2: Determine total amount Karl earns
Total amount Karl earns=rate per hour×number of hours worked
where;
rate per hour=$5
number of hours worked=2 more than Sally=h+2
replacing;
Total amount Karl earns=5(h+2)
Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h
7 h=5(h+2)
7 h=5 h+10
7 h-5 h=10
2 h=10
h=10/2
h=5
Karl works (h+2) hours=(5+2)= 7 hours
Karl works 7 hours a week
Answer:
32
Step-by-step explanation:
There are 80 biscuits inside the tin.
Also, they said that those biscuits are in the ratio
Short bread : Choc - chip
2 : 3
Altogether there are 5 shares ( 2 + 3)
And now you can divide 80 by 5 to find how many biscuits contain per a share.
80 ÷ 5 = 16
In the question, they asked us to to find the number of short biscuits inside the tin.
Let us find that.
There are 2 shares for short bread biscuits.
So,
Number of short biscuits ⇒ 2 × 16
⇒ 32
Hope this helps you :-)
6x+3-(8x-5)
=
-2x(x-4)
=
2x+8
=
p = 2
