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2 years ago

Solve the equation and check the solution4.4x-4=3.4x

Mathematics

1 answer:

PolarNik [594]2 years ago

4 0

$4.4x-4=3.4x$

Substract '-3.4x' at LHS nad the RHS of the above expression.

$\begin{gathered} 4.4x-4-3.4x=3.4x-3.4x \\ 4.4x-3.4x-4=0 \\ x-4=0 \end{gathered}$

Add '4' on both LHS and RHs of the above expression.

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What is 0.44 written as a fraction in simplest form

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Answer:

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Step-by-step explanation:

Can be written as 44/100

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3 years ago

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4 years ago

MS. Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kitts so

puteri [66]

x - 3y = 6 and x + y = 110 represents the system of equations used to find x, the number of CDs she sold last week, and y, the number of CDs she sold this week

number of CDs Kitts sold last week "x" is 84 and number of CDs she sold this week "y" is 26

<h3>Solution:</h3>

Let "x" be the number of CDs Kitts sold last week

Let "y" be the number of CDs she sold this week

Given that Last week she sold 6 more than 3 times the number of CDs that she sold this week

Number of CDs Kitts sold last week = 6 + 3(number of CDs that she sold this week)

x = 6 + 3y ----- eqn 1

x - 3y = 6 ------- eqn 2

Given that Ms. Kitts sold a total of 110 CDs over the 2 weeks

Number of CDs Kitts sold last week + number of CDs she sold this week = 110

x + y = 110 ----- eqn 3

Thus eqn 2 and eqn 3 represents the system of equations used to find x, the number of CDs she sold last week, and y, the number of CDs she sold this week

Let us solve the above equations to find values of "x" and "y"

Substitute eqn 1 in eqn 3

6 + 3y + y = 110

6 + 4y = 110

4y = 104

From eqn 3,

x + 26 = 110

x = 110 - 26 = 84

Thus number of CDs Kitts sold last week = x = 84

Number of CDs she sold this week = y = 26

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3 years ago

What two numbers' sum=-4 and product=-2

n200080 [17]

Let a and b be the two numbers. Then

a + b = -4

a b = -2

Solve the second equation for b :

b = -2/a

Substitute this into the first equation:

a - 2/a = -4

Multiply both sides by a :

a² - 2 = -4a

Move 4a to the left side:

a² + 4a - 2 = 0

Use the quadratic formula to solve for a :

a = (-4 ± √(4² - 4(-2))) / 2

a = -2 ± √6

If a = -2 + √6, then

-2 + √6 + b = -4

b = -2 - √6

In the other case, we end up with the same numbers, but a and b are swapped.

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