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2 years ago

15

Roman used 10% off coupon to buy a toaster that was originally priced at $18.48. Is the final amount cheaper or more expensive t

han the original price?
Correct answer gets Brainliest! Have an amazing day!! :)

1 answer:

zhannawk [14.2K]2 years ago

3 0

Cheaper then the original amount

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A rectangle has an area of 19.38 cm2. When both the length and width of the rectangle are increased by 1.50 cm, the area of the

Lostsunrise [7]

Answer: $5.7\ cm$

Step-by-step explanation:

Given

Rectangle has an area of $19.38\ cm^2$

Suppose rectangle length and width are $l$ and $w$

If each side is increased by $1.50\ cm$

Area becomes $A_2=35.28\ cm^2$

We can write

$\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)$

Substitute the value of width from (ii) in equation (i)

$\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7$

Width corresponding to these lengths

$w=5.7,\ 3.4$

Therfore, we can write the length of the longer side is $5.7\ cm$

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Which of the following is the conjugate of 10 – 3i?

ipn [44]

we know that

The conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign

so

In this problem we have

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the conjugate is equal to--------> $10+3i$

therefore

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Find the slope of the line through the points (3,7) and (5,19)

Sedbober [7]

Answer:

<u>1</u><u>2</u>

2

Step-by-step explanation:

(3,7)(5,19)

(x,y)(x,y)

<u>y2</u><u>(</u><u>1</u><u>9</u><u>)</u><u>-</u><u> </u><u>y1</u><u>(</u><u>7</u><u>)</u>

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formula. <u>y2-y1</u>

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2 years ago

Express the ratio as a fraction in the simplest form:<br><br> 32 pennies to 300 pennies

jenyasd209 [6]

Answer:

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Step-by-step explanation:

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32:300

Fraction:

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Simplest form(divide the numerator and the denominator by 4)

Answer: 8/75

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