A student solves the equation StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction using the steps
1 answer:
using the multiplication property of equality to multiply both sides of the equation by 10
Step-by-step explanation:
Given equation is:
One method to solve this equation is cross-multiplication which the student has used.
One of the alternate method can be multiplying both sides by the LCM of numerators of fractions on both sides
So multiplying both sides by 10 (multiplication property of equality)
The alternate method of LCM produces the same answer so the correct answer is:
using the multiplication property of equality to multiply both sides of the equation by 10
Keywords: Linear equations, variables
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Answer:
monthly payment = $56.445
Step-by-step explanation:
given data
loan = $5000
interest rate r = 5.3 % = 0.053
time t = 2 year = 24 months
solution
we will use here amount of the monthly payments formula that is
monthly payment = principal × ................1
put here value and we get
monthly payment = 5000 ×
monthly payment = $56.445
Answer:
150 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - This is the pond in a shape of a prism, it is completely full of
water. Colin uses a pump to empty the pond. The level goes
down by 20 cm in the first 30 min.
To find - Work put how many minutes Colin has to wait for the pond
to completely empty.
Proof -
Given that,
Height of prism = 1 m
Also,
Base of the prism is trapezium and
Sides of the trapezium are 0.6 m and 1.4 m
Height of trapezium is 2 m
We know that,
Area of trapezium = × (sum of sides)× height
= × (0.6 + 1.4)× 2
= × (2)× 2
= 2 m²
⇒Area of trapezium = 2 m²
Now,
Volume of prism = Area of trapezium × height of prism
= 2 m² × 1 m
= 2 m³
⇒Volume of prism = 2 m³
Now,
Given that the level goes down by 20 cm in the first 30 min
We know
100 cm = 1 m
⇒1 cm = = 0.01 m
⇒20 cm = 20×0.01 m = 0.2 m
⇒The level goes down by 0.2 m in the first 30 min.
Also,
we know that height of water = height of prism = 1 m
So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m
Also,
Volume of Remaining water = Area of trapezium × height
= 2 m² × 0.8 m
= 1.6 m³
⇒Volume of Remaining water = 1.6 m³
Now,
Volume of emptied water = Total Volume - Volume of Remaining water
= 2 m³ - 1.6 m³
= 0.4 m³
⇒Volume of emptied water = 0.4 m³
Now,
0.4 m³ water will be empty in 30 minutes
⇒ 1 m³ water will be empty in = 75 minutes
⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes
∴ we get
The remaining water is empty in 120 minutes
So,
Total pond is empty in 120 + 30 minutes
⇒Total pond is empty in 150 minutes
