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IgorLugansk [536]
2 years ago
6

. Is the sequence arithmetic? 15, 14.5, 14, 13.5, 13,… If so, give the common difference.

Mathematics
1 answer:
pychu [463]2 years ago
5 0
The answer to this question is -.5. We can determine the common difference by just subtracting the first number to the second number 14 - 14.5 is equal to -.5, 14.5 - 15 is equal to -.5 and so on. 
This sequence is arithmetic and the common difference is -.5
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X2−10x+29=5
Irina18 [472]

Answer:

(x-6)(x-4) = 0

Step-by-step explanation:

Subtract 5 from both sides to make the equation equal to 0. You will get the equation x2-10x+24=0. Now think of two numbers that multiply to get 24 but add to get -10. These numbers are -6 and -4. The factors of x2 are x and x which multiply to get x2.  Now put two linear factors into parathesis to get (x-6)(x-4) = 0.

7 0
3 years ago
A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If
jekas [21]

We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

V=\frac{4}{3}\pi r^3, where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \frac{15}{2}=7.5 cm.

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot 421.875\text{ cm}^3

\text{Volume of one candle}=1766.25\text{ cm}^3

Now we will divide 70,650 cubic cm of wax by volume of one candle.

\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}

\text{Number of candles}=\frac{70,650}{1766.25}

\text{Number of candles}=40

Therefore, 40 candles can be made from 70,650 cubic cm of wax.

8 0
3 years ago
4.029 with number names
Zinaida [17]

Answer:

Four and twenty nine thousandths

Step-by-step explanation:

5 0
3 years ago
Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase.
photoshop1234 [79]

Answer: Every 12th bag has both a T-shirt and socks.

Step-by-step explanation:

Given: T shirt: Every fourth bag

Socks: Every third bag

Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12

It implies every 12th bag has both a T-shirt and socks.

Hence,  Every twelfth bag has both a T-shirt and socks.

8 0
3 years ago
Miss Howe has 3/5 of a chocolate candy bar she eats 3/4 of it later as a snack what fraction of the whole candy bar did she cons
Alla [95]

Answer:

9/20

Step-by-step explanation:

First you'd do 3/5 x 3/4 because the denominators aren't the same. When you multiply them you get 9/20. That's your answer! If your not satisfied look it up on Google lol.

6 0
3 years ago
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