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2 years ago

An item is regularly priced at $97. Lucy bought it at a discount of 55% off the regular price.

Mathematics

1 answer:

Anastasy [175]2 years ago

5 0

43.65 and saved 53.35

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35/8 + 10/3 = simplest form

Nimfa-mama [501]

Answer:

185/24

Step-by-step explanation:

Convert both to fractions with the same denominator first.

35/8= 105/24

10/3= 80/24

105/24+80/24

= 185/24

6 0

3 years ago

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A hose fills an empty fish tank with 24 gallons of water in 8 minutes. At that same rate, how many minutes will it take the hose

kolezko [41]

Answer:

$\frac{8}{24} = \frac{x}{60}$

24x = 8*60

24x = 480

x = 20

Step-by-step explanation:

3 0

3 years ago

Please help me it’s a formative grade

sergejj [24]

Answer:

Step-by-step explanation: 800/x=100/17

(800/x)*x=(100/17)*x - we multiply both sides of the equation by x

800=5.88235294118*x - we divide both sides of the equation by (5.88235294118) to get x

800/5.88235294118=x

136=x

x=136

83% of 800=664

5 0

3 years ago

How would the sum of cubes formula be used to factor x3y3 + 343? Explain the process. Do not write the factorization.

Svetllana [295]

Answer:

Given : Expression - $x^3y^3+343$

To find : How would the sum of cubes formula be used to factor given expression? Explain the process. Do not write the factorization.

Solution :

The formula of sum of cubes is,

$a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)$

First we convert the given expression in $a^3+b^3$

$x^3y^3+343$

Apply exponent rule : $a^mb^m=(ab)^m$

$x^3y^3=(xy)^3$

Rewrite $343=7^3$

Therefore, $x^3y^3+343$ could be written as $=\left(xy\right)^3+7^3$

On comparison with the formula,

a=xy , b=7

$\left(xy\right)^3+7^3=(xy+7)(xy^2-xy(7)+7^2)$

$\left(xy\right)^3+7^3=(xy+7)((xy)^2-7xy+49)$

5 0

3 years ago

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Find two positive numbers whose difference is 17 and whose product is 1410

Dafna11 [192]

Answer:

30 and 47

their difference is 17 and when multiplied equal 1410

4 0

3 years ago