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2 years ago

What is the value of the expression when b=4

Mathematics

1 answer:

shusha [124]2 years ago

5 0

It would be 2 since b=4

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Write in word form 7x10,000+5x10+4x1

Alex787 [66]

Seven times ten thousand plus five times ten plus four times 1

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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.

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2 years ago

BC = x + 14, AB = x + 10, AC = 22

irinina [24]

$ab = x + 10 \\ bc = x + 14 \\ ac = 22 \\ (x + 10) + (x + 14) = 22 \\ x + x + 10 + 14 = 22 \\ 2x + 24 = 22 \\ 2x = 22 - 24 \\ 2x = - 2 \\ x = \frac{ -2}{2} \\ x = - 1$

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2 years ago

What would you have to pay for a jacket that is listed at $99.95 if you live in Nunavut, where the only tax is 5% GST?

iragen [17]

Hey!

99.95 * 5% = 4.9975

99.95 + 4.9975 = 104.9475

The jacket would cost $104.94

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2 years ago

Can someone pls help

Luba_88 [7]

I believe the correct answer would be 5,1,3 :)

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2 years ago

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