Answer:
8.25 m
Step-by-step explanation:
the scale is 2.75
Hope this helps UwU
Answer:
A town with 600 people need 10 firefighters
A town with 1500 people will need 1500 x 10/600 = 1500/60
= 25 firefighters
Hope this helps!
Answer:
$986.70, $89.70
Step-by-step explanation:
New salary = Original salary + increase = $23/hr + 0.10($23/hr) =
$23/hr + $2.30/hr = $25.30
At $23/hr, Jasmine would earn ($23/hr)(39 hrs), or $897 for a 39-hr week.
At $25.30/hr, she would earn ($25.30/hr)(39 hrs), or $986.70.
This latter amount constitutes an increase of ($986.78 - $897), or $89.70.
Step-by-step explanation:
The sum of two positive numbers is four and three times the smaller number is one more than the larger. What are the two numbers?
Explanation:
To find such a word problem, we can first note that
1.25
+
2.75
=
4
, which makes a nice easy number to refer to verbally.
In addition, note that
3
⋅
1.25
=
3.75
=
2.75
+
1
, which allows us to formulate the second part of the system.
So we can pose a question like:
The sum of two positive numbers is four and three times the smaller number is one more than the larger. What are the two numbers?
How would you solve it?
Let
x
,
y
represent the smaller and larger numbers respectively.
Then from the question:
{
x
+
y
=
4
3
x
=
y
+
1
Subtracting
y
from both sides of the second equation gives us:
3
x
−
y
=
1
Adding this to the first equation gives us:
4
x
=
5
Then dividing both sides by
4
gives us:
x
=
5
4
=
1.25
Subtracting
x
from both sides of the first equation, we have:
y
=
4
−
x
=
4
−
1.25
=
2.75
