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bija089 [108]
2 years ago
13

Factor completely, show work. x² - 49

Mathematics
1 answer:
Elan Coil [88]2 years ago
4 0

You want to pull out the square roots of each term since they are both perfect squares.

Factor using the difference of squares formula: a2-b2=(a+b)(a-b)

This formula allows the middle term to cancel out.

=x2 - 49

=(x + 7)(x - 7)

ANSWER: (x + 7)(x - 7)

Hope this helps! :)

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Probability involving choosing from objects that are not distinct
Sliva [168]

Step-by-step explanation:

No. of possible selections= 5+4+3= 12

Probability of selecting drama= 3÷12

= 1÷4

PLEASE MARK BRAINLIEST.

7 0
2 years ago
Lily sells loose tea for $0. 71 per gram. If one gram is equivalent to 0. 035273 ounces, how much does it cost to buy 0. 45 poun
Dominik [7]

Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.

<h3>What is Units conversion?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,

Pounds to Ounces

\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces

Grams to Ounces

\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces =  7.20 \times 28.35 = 204.12\ grams

Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,

\rm Total\ cost= 204.12 \times \$0.71 = \$144.93

Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.

Learn more about Units conversion:

brainly.com/question/4736731

3 0
2 years ago
the population of a town grows at the rate of 3 percent each year in 2010, the town had a population of 250000. what is the popu
Ulleksa [173]

Answer:

335,979 people (in Year 2020)

Step-by-step explanation:

Initial Population (Year 2010) = 250,000

Rate of Growth = 3% = 3/100 = 0.03

We want the population of the town in Year 2020 (at this rate). That is 10 years from now.

The formula for compound growth is:

F=P(1+r)^t

Where

F is the future value (in year 2020)

P is the present value (250,000)

r is the rate of increase per year (0.03)

t is the time in years (t = 10)

Lets substitute and find the value:

F=P(1+r)^t\\F=250,000(1+0.03)^{10}\\F=250,000(1.03)^{10}\\F=335979.09

Rounded, that would be:

335,979 people (in Year 2020)

4 0
3 years ago
Ill give brainliest <br> Triangle Sum Theorem CLASSWORK
zepelin [54]

Step-by-step explanation:

Sum of angles in a triangle = 180°.

Question 3:

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=> 14x° + 152° = 180°

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=> x = 2.

Question 4:

We have 70° + 55° + (4x + 3)° = 180°.

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7 0
2 years ago
Read 2 more answers
0.346 rounded to the nearest hundredth
Gekata [30.6K]

0.35 is rounded to the nearest hundredth           3would be in the tenth place 4is in the hundredth  place  6is in the thousandths place hope this helps
6 0
2 years ago
Read 2 more answers
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