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2 years ago

Completely factor 1-100x^2

Mathematics

1 answer:

stiv31 [10]2 years ago

4 0

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a 2 − b2 = ( a + b ) (a − b ) where a= 1 and b = 10 x . ( 1 + 10 x ( 1 − 10 x )

Step-by-step explanation:

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There are 15 copies of a popular cd left to be sold in the store this is between 1% and 1.5% of the original number of copies of

Triss [41]

Answer: The original number of CDs is between 1000 and 1500.

Step-by-step explanation:

Since we have given that

Number of copies of a popular CD left to be sold in the store = 15

According to question, this is between 15 and 1.5% of the original number of copies of the CD in the store.

Let the original number of copies of the CD in the store be 'x'.

Now, 15 is equal to 1% of the original number of copies of the CD, it becomes

$1\%\ of\ x=15\\\\\frac{1}{100}\times x=15\\\\x=15\times 100\\\\x=1500$

Or if 15 is equal to 1.5% of the original number of copies of the CD, it becomes

$1.5\%\ of\ x=15\\\\\frac{1.5}{100}\times x=15\\\\\frac{15}{1000}x=15\\\\x=\frac{15\times 1000}{15}\\\\x=1000$

Hence, the original number of CDs is between 1000 and 1500.

3 0

3 years ago

At a certain time of the day, a tree 15 m tall casts a shadow of 12 m, while a second tree casts a shadow of 20 m. How tall is t

Anna35 [415]

We can write a proportion: 15 m is to 12 m as some other height $h$ is to 20 m

So we get
$\frac{15}{12}=\frac{h}{20}$
$\rightarrow 15*20=12h$
$\rightarrow 12h=300$
$\rightarrow h=25$

So the second tree is 25 m tall.

7 0

3 years ago

24) Evaluate the expression with its given values. x4+3y;x=12,y=2

Minchanka [31]

$\large\text{Hey there!}$

$\mathsf{\dfrac{x}{4} + 3y}\\\\\mathsf{= \dfrac{12}{4} + 3(2)}\\\\\mathsf{= 3 + 3(2)}\\\\\mathsf{= 3 + 6}\\\\\mathsf{= 9}\\\\\large\text{Therefore, your answer: \huge\boxed{\mathsf{9}}}\huge\checkmark$

$\large\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

8 0

2 years ago

Read 2 more answers

Today, the mailman sorted 57 letters during his first hour of work, 69 letters during his second hour, 81 letters during his thi

mars1129 [50]

The answer is 93

If we sorted out the number of each hours, the sequence will look like this

57 _ 69 _ 81 _ x _ 105

(in which x is the fourth hour of work)

We can see from the sequence that each hours, the mailman add additional 12 letters.
(69 - 57 = 12)
(81 - 69 = 12) . . . . proof

So, the amount of letters on the fourth hour would be:
81 letters + 12 letters = 93 Letters

5 0

3 years ago

A lake has a small patch of lily pads and every day the patch grows to double its size. It takes 32 days for the patch to cover

S_A_V [24]

Answer:

It took 31 days for the patch to cover half the lake

Step-by-step explanation:

The patch grows to double its size everyday

the patch completely covers the lake in 32 days

Since the patch doubles itself everyday, this means that the previous day before the 32nd day, the lake was just half covered.

Therefore, the the patch covered half the lake on the 31st day, i.e it took 31 days for the patch to cover half the lake

6 0

3 years ago

Completely factor 1-100x^2​

Completely factor 1-100x^2