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3 years ago

Find the common difference of the arithmetic sequence 3, -2, -7

Mathematics

1 answer:

svlad2 [7]3 years ago

4 0

Answer:

-5

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

-2 - 3 = -5

Check with the third term and the second term

-7 - (-2) = -7 +2 = -5

The common difference is -5

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500 students went on a picnic trip. 10 students travelled in each car. Find out how many cars were used for the picnic trip?

Galina-37 [17]

All you have to do is divide

500 divided by 10 equals 50

so 50 cars went on the picnic trip

7 0

3 years ago

Explain how to compare 0.7 and 5\8

alexandr402 [8]

You would first divide 5 by 8 to get 0.625.
Then you compare.
0.7 > 5/8 (0.625)

5 0

4 years ago

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A local bake shop sells cookies and cakes.On monday , sean bought 3 cookies and 5 cakes and spent $78.75 on tuesday , sean bough

Bond [772]

Answer:

The price of one cookie is $1.25 and the price of one cake is $15.

Step-by-step explanation:

Let $x be the price of one cookie and $y be the price of one cake.

1. On Monday, Sean bought 3 cookies and 5 cakes, then he spent $(3x+5y) and this is $78.75. Thus,

$3x+5y=78.75.$

2. On Tuesday, Sean bought 8 cookies and 2 cakes, then he spent $(8x+2y) and this is $40. Thus,

$8x+2y=40.$

3. Solve the system of two equations:

$\left\{\begin{array}{l}3x+5y=78.75\\8x+2y=40\end{array}\right.$

Multiply the first equation by 2 and the second equation by 5 and subtract them:

$2(3x+5y)-5(8x+2y)=2\cdot 78.75-5\cdot 40,\\ \\6x+10y-40x-10y=157.5-200,\\ \\-34x=-42.5,\\ \\x=\$1.25.$

Then

$8\cdot 1.25+2y=40,\\ \\2y=40-10,\\ \\y=\$15.$

8 0

3 years ago

By what factor must you multiply a number in order to triple its square root?

LiRa [457]

To solve the problem shown above you must apply the following proccedure:

1. Let's call:

x: a number.
f: the factor.

2. Then, you have:

√fx=3√x

3. You must clear the factor "f" to calculate its value, as below:

√fx=3√x
(√fx)²=(3√x)²
fx=9x
f=9x/x

4. Then, the factor is:

f=9

5. Therefore, b<span>y what factor must you multiply a number in order to triple its square root?
</span>
The answer is: 9

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4 years ago

The value of 8 in 382097

valentina_108 [34]

The value of 8 in 382097 is 80000.

6 0

3 years ago

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