Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using simultaneous equations to solve this problem.
Let's first establish the two equations we will be using to solve the problem.
Let number no. 1 = x
Let number no. 2 = y
Equation No. 1 -
x = y + 3
Equation No. 2 -
x + y = 27
To begin with, we will substitute the value of ( x ) from the first equation into the second equation to solve for ( y ).
Equation No. 2 -
x + y = 27
( y + 3 ) + y = 27
y + y = 27 - 3
2y = 24
y = 24 / 2
y = 12
Next we will substitute the value of ( y ) from the first equation into the first equation to solve for ( x ).
x = y + 3
x = ( 12 ) + 3
x = 15
FINAL ANSWER:
Therefore, the two numbers are 15 and 12.
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Answer:
diameter=18 in
radius=9 in
area=254.47 in
circumference=56.55 in
Step-by-step explanation:
<u>Key</u>
C=Circumference
D=Diameter
R=Radius
A=Area
π=pi=3.14159265359
<u>Formulas</u>
2r=d
d/2=r
πr^2=a
(2πr)=c
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Answer:
x represents the trip distance.
x = 300 miles
Rate of bus = 50 mph
Rate of train = 75 mph
Step-by-step explanation:
Let the trip distance be x miles.
Answer:
65.56°
Step-by-step explanation:
= We solve the above question using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = 220 feet = Height of the building
Adjacent = 100 feet = Length of the shadow
Hence,
tan θ = 220/100
tan θ = 2.2
= arctan(2.2)
= 65.55604522°
Approximately = 65.56°
Carol ate 2/5 of the cake, leaving 3/5 of the cake for others ( ! ) Note that 2/5 = 10/25, and that 3/5 = 15/25.
dima at 3/5 of this 3/5, or 9/25 of the cake.
Subtract 9/25 from 10/25: The difference is 1/25.
Carol ate a share that was 1/25 larger than Dima's share.