X+10=110-4x
-x from both sides
10=110-5x
subtract 110 from both sides
-100=-5x
divide both sides by -5
x= 20
Answer:
813,000
Step-by-step explanation:
eight hundred thirteen thousand = 813,000
Answer:
New mean length of these 17 people=11.62
Step-by-step explanation:
<em>Step 1: Determine the total length of children's fingers</em>
L=l×n
where;
L=total length (cm)
l=mean length (cm)
n=number of children
replacing;
L=6.7×6=40.2 cm
The total children's fingers length=40.2 cm
<em>Step 2: Determine the total length of adults fingers</em>
total length of adults fingers=mean length of adults fingers×number of adults
where;
mean length of adults=14.3
number of adults=11
replacing;
total length of adults fingers=(14.3×11)=157.3 cm
<em>Step 3: Determine the new mean length</em>
new mean length=total length of adults and children fingers/number of adults and children
where;
total length of adults and children fingers=157.3+40.2=197.5 cm
number of adults and children=11+6=17
replacing;
new mean length=197.5/17=11.62
Answer:
62.5
Step-by-step explanation:
speed = distance / time taken
= 125/2
=62.5miles per hour
Answer:
59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.
Step-by-step explanation:
Step 1
Express the angle of inclination as follows;
Tan∅=H/R
where;
∅=angle of inclination
H=vertical rise
R=distance of run
Step 2
Determine the angle inclination when;
H=3 feet
R=2 feet
replacing;
Tan∅=(3/2)=1.5
∅=Tan^(-1)(1.5)
∅=56.31°
Determine the angle inclination when;
H=5 feet
R=3 feet
replacing;
Tan∅=(5/3)=1.67
∅=Tan^(-1)(1.67)
∅=59.03°
59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.
