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3 years ago

Simplify the expression. 10 + 3(2v - 3)

Mathematics

1 answer:

Vikentia [17]3 years ago

7 0

Answer:

6v+1

Step-by-step explanation:

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After plotting the data where x represents the length of the side of a polygon, and f(x) represents the area of the polygon, Jac

Zigmanuir [339]

Answer:

See the attachment

Step-by-step explanation:

It is convenient to use a spreadsheet or graphing calculator for this.

3 0

3 years ago

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Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

4 0

3 years ago

Noah is buying a pair of jeans and using a coupon for 10% off. The total price is $56.70, which includes $2.70 in sales tax. Noa

Kay [80]

$56.70 take away the tax first which brings you to $54 then 54x.10% is 5.40 so take 5.40 away from $54 you then have $48.60 then you can add the tax back in +2.70 = $51.30

4 0

3 years ago

Maria Contrerras earned $53,000 in taxable income. She figured her tax from the single taxpayer table above.

Dennis_Churaev [7]

Answer:

Tax= $ 7,173.5

Step-by-step explanation:

Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to

$ 77,100.

Tax for $ 31,850 is $ 4,386

Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over

25 % of $ 11,150= $ 2,787.5

Total Tax= $ 4386 + $ 2787.5= $ 7,173.5

Step-by-step explanation:

yes

7 0

3 years ago

The time is 7:35am what is the time in the24 hour clock

elixir [45]

7:35am in the 24 hour clock would still be 7:35am but if its 7:35pm we'll add 12 to the 7 which would then be 19:35

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3 years ago

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