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Artyom0805 [142]
3 years ago
6

Help please Can you clear fractions in an equation by multiplying each side by a common denominator other than the LCD? Give an

example to explain your reasoning.
Mathematics
1 answer:
Katena32 [7]3 years ago
7 0
Yes   here is an example:_

x/4  +  5/6  =  2

The LCD of 4 and 6 is 12  but we can also multiply through by 24 to clear the fractions:-

x/4 * 24  +  5/6 * 24 = 2 + 24

6x  + 20 = 40

This will give us the same result  if we multiplied through by 12.


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Can you help me Decrease £38 by 4%
kykrilka [37]
£36.48.

1. Multiply 38 by 0.04 (4% in decimal) and you’ll get 1.52

2. Subtract 1.52 from 38 to get 36.48
3 0
3 years ago
1) A projectile is thrown upward so that its distance above the ground after t seconds is
leonid [27]

Answer:

After 22 seconds the projectile reach its maximum height of 4,840 units

Step-by-step explanation:

we have

h(t)=-10t^{2}+440t

This is a vertical parabola downward (because the leading coefficient is negative)

The vertex is a maximum

Find out the coordinates of the vertex

Convert the quadratic equation in vertex form

Factor -10

h(t)=-10(t^{2}-44t)

Complete the square

h(t)=-10(t^{2}-44t+22^2)+(10)(22^2)

h(t)=-10(t^{2}-44t+22^2)+4,840

Rewrite as perfect squares

h(t)=-10(t-22)^{2}+4,840

The vertex is the point (22,4,840)

therefore

After 22 seconds the projectile reach its maximum height of 4,840 units

4 0
3 years ago
Based on a study of population projections for 2000 to​ 2050, the projected population of a group of people​ (in millions) can b
Olegator [25]

Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

A(t) = 11.19(1.009)^t

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, t=0 and in 2014, t=14. Mathematically,

\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}

A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

The result of differentiating functions of the firm y=a^x (where a is a constant) is \dfrac{dy}{dx}=a^x\ln a. Let's use in this in finding the derivative of A(t).

A\prime(t) = \dfrac{A}{t}=11.19\cdot1.009^t\ln1.009

In the year 2014, t=14.

A\prime(14) =11.19\cdot1.009^14\ln1.009=0.114

6 0
3 years ago
Which shows a fractional and decimal equivalent of 9/20 ?
Oxana [17]

Answer:

45/100 = 0.45

Step-by-step explanation:

Divide 9 by 20.

9/20 = 0.45

Now write 36/100 as a decimal.

36/100 = 0.36

Write 45/100 as a decimal: 0.45

Answer: 45/100 = 0.45

4 0
3 years ago
Read 2 more answers
A man ears $15.50 per hour with time and a half for overtime and he worked 46 hours during a recent week. Find his gross pay for
irina [24]

Answer:

525267262525226

Step-by-step explanation:

594944+757548484-848484%

6 0
2 years ago
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