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3 years ago

What is the percent decrease for a gallon of gas going from $3.49 to $3.24? Round to the nearest whole percent

Mathematics

1 answer:

madreJ [45]3 years ago

7 0

Answer:

7.72% decrease

Step-by-step explanation:

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What number should you subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducin

nata0808 [166]

Let $x$ be the number that you should subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38.
 $\frac{52367-x}{47633+x} = \frac{17}{38}$
$38(52367-x)=17(47633+x)$
$1989946-38x=809761+17x$
$1180185=55x$
$x= \frac{1180185}{55}$
$x= \frac{236037}{11}$

We can conclude that the number you should subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38 is: $\frac{236037}{11}$

4 0

3 years ago

Please help!! Solve the system using an augmented matrix. Show all work

marishachu [46]

Answer:

The solution of the system is: $x=2, y=5$

Step-by-step explanation:

The given system of equations is.......

$-x-3y=-17\\ \\ 2x-6y=-26$

So, the augmented matrix will be: $\left[\begin{array}{cccc}-1&-3&|&-17\\2&-6&|&-26\\\end{array}\right]$

Now, we will transform the augmented matrix to the reduced row echelon form using row operations.

Row operation 1 : Multiply the 1st row by -1. So..........

$\left[\begin{array}{cccc}1&3&|&17\\2&-6&|&-26\\\end{array}\right]$

Row operation 2: Add -2 times the 1st row to the 2nd row. So.......

$\left[\begin{array}{cccc}1&3&|&17\\0&-12&|&-60\\\end{array}\right]$

Row operation 3: Multiply the 2nd row by $-\frac{1}{12}$ . So.......

$\left[\begin{array}{cccc}1&3&|&17\\0&1&|&5\\\end{array}\right]$

Row operation 4: Add -3 times the 2nd row to the 1st row. So........

$\left[\begin{array}{cccc}1&0&|&2\\0&1&|&5\\\end{array}\right]$

Now, from this reduced row echelon form of the augmented matrix, we can get that $x=2$ and $y=5$

So, the solution of the system is: $x=2, y=5$

8 0

3 years ago

Please help I beg you you will get marked branliest asap

Bad White [126]

Answer:

its D I think........ not 100% sure

4 0

3 years ago

Simplify this expression???

olya-2409 [2.1K]

Answer:

(D)

Step-by-step explanation:

Given data:

$(7^{-8} )^{-4}$

Applying rule :

$(a^{m} )^{n} =a^{mn}$

Therefore,

$7^{(-8)(-4)} =7^{32}$

Answer will be $7^{32}$

Option (D) is correct

4 0

3 years ago

A square tile has a width of 1 foot. How many tiles will fit end-to-end along a 4-foot wall?

lozanna [386]

Answer: 4 tiles

Explanation: if the square has a width of one foot then the length is also one foot since all sides are equal. Therefore 4 squares can fit along a 4 foot wall

3 0

4 years ago

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