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2 years ago

Miguel bought a table on sale for $266. This price was 65% less than the original price.

Mathematics

2 answers:

Firdavs [7]2 years ago

8 0

p - 0.27p = $ 219

0.73p = $ 219

p = $ 219 / 0.73

p = $ 300. i don't know if this is fully right tho

Agata [3.3K]2 years ago

4 0

Answer: 409.23

Step-by-step explanation: Step 1: If 65% of a number is 266, then what is 100% of that number? Setup the equation.

266

65% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

65Y = 266 x 100

65Y = 26600

Y = 26600

100 = 409.23

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The volume of a rectangular prism (shown below) is 48x^3+56x^2+16x Answer the following questions:

pickupchik [31]

Answer:

(a)

$Length = 8x\\Width = 3x + 2\\Height = 2x + 1$

(b)

$P(2) = 640$

(c)

$Length= 16$

$Width = 8$

$Height =5$

(d)

$Volume = 640$

Step-by-step explanation:

Given

$P(x) = 48x^3 + 56x^2 + 16x$

Solving (a): The prism dimension

We have:

$P(x) = 48x^3 + 56x^2 + 16x$

Factor out 8x

$P(x) = 8x(6x^2 + 7x + 2)$

Expand 7x

$P(x) = 8x(6x^2 + 4x + 3x + 2)$

Factorize

$P(x) = 8x(2x(3x + 2) +1( 3x + 2))$

Factor out 3x + 2

$P(x) = 8x(3x + 2)(2x + 1)$

So, the dimensions are:

$Length = 8x\\Width = 3x + 2\\Height = 2x + 1$

Solving (b): The volume when $x = 2$

We have:

$P(x) = 48x^3 + 56x^2 + 16x$

$P(2) = 48 * 2^3 + 56 * 2^2 + 16 * 2$

$P(2) = 640$

Solving (c): The dimensions when $x = 2$

We have:

$Length = 8x\\Width = 3x + 2\\Height = 2x + 1$

Substitute 2 for x

$Length=8*2$

$Length= 16$

$Width = 3*2+2$

$Width = 8$

$Height = 2*2 + 1$

$Height =5$

So, we have:

$Length= 16$

$Width = 8$

$Height =5$

Solving (d), the volume in (c)

We have:

$Volume = Length * Width * Height$

$Volume = 16 * 8 * 5$

$Volume = 640$

8 0

2 years ago

Write 342 to 1 significant figure

Rufina [12.5K]

Answer:

300

Step-by-step explanation:

A significant figure is the most important (largest) number you can round it to.

As it wants 1 significant figure, you count 1 to the left and round the 4 down.

Hope this helps :)

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2 years ago

A ray is a defined term because

Simora [160]

Because it can be described using two undefined terms, point and line.

4 0

3 years ago

An expression is shown.

Vikki [24]

Answer:

Step-by-step explanation:

2+8+3_5x1

7 0

3 years ago

9 3/10 - 5 3/4 as a mixed number in simplest form

Artemon [7]

Answer:

3 1/20

Step-by-step explanation:

First, we will convert the mixed numbers into improper fractions...

9 3/10 (9*10=90+3=93) so the improper fraction is 93/10

5 3/4 (5*4=20+3=23) therefore the improper fraction is 23/4

We then want to make the denominator the same...

93/10 (*4) = 372/40

23/4 (*10) = 230/40

We then put it into the question...

372/40 - 230/40 = 142/40

Lastly, we now need to turn this into a mixed number...

142/40=3.55 so the answer is 3 2/40

3 2/40 in it's simplest form is 3 1/20

Hope this helps!

6 0

2 years ago

Read 2 more answers