The numbers are 3 and 7
Step-by-step explanation:
Let the first number be x and the second number be y
Then according to given statement
One number added to three times another number is 24
x+3y=24 Eqn 1
Five times the first number added to three times to other number is 36
5x+3y=36 Eqn 2
Subtracting Equation 1 from equation 2
Dividing both sides by 4
Putting x=3 in equation 1
Dividing both sides by 3
Hence,
The numbers are 3 and 7
Keywords: Linear equations, Variables
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Answer:
68 mph
Step-by-step explanation:
Mph=miles ÷ time
Mph=204 ÷ 3
Wheel A will travel a distance of approximately 9 in more than wheel B in one rotation.
<u>Explanation:</u>
Given:
Diameter of wheel A, d₁ = 25.4 in
Radius of wheel A, r₁ = 12.7 in
Diameter of wheel B = 22.5 in
Radius of Wheel B, d₂ = 11.25 in
Distance travelled by A = ?
In one rotation, the distance travelled by a wheel is equal to its circumference.
Circumference of a wheel = 2πr
Circumference of wheel A = 2πr₁
= 2 X 3.14 X 12.7 in
= 80 in
Circumference of wheel B = 2πr₂
= 2 X 3.14 X 11.25 in
= 71 in
Therefore, wheel A will travel a distance of approximately 9 (80 - 71 in) in more than wheel B in one rotation.
The common endpoint of two or more rays or line segments. Vertex<span> typically means a corner or a point where lines meet. For example a square has four corners, each is called a </span>vertex. The plural form ofvertex<span> is </span>vertices<span>.</span>
Answer:
Sa / Va = time traveled by bus a
Sb / Vb + 3/4 = time traveled by van b
Sa / Va = Sb / Vb + 3/4 times traveled are the same
= (220 - Sa) / Vb + 3/4
Sa ( 1 / Va + 1 / Vb) = 220 / 80 + 3/4
Sa (140 / 4800) = 3.5
Sa = 120 km
Check: 120 km / 60 km/hr = 2 hr = Ta
Sb = 1.25 * 80 = 100 km traveling for 1.25 hrs
