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4 years ago

Find the common difference of the arithmetic sequence. 6,9.4,12.8,16.2

1 answer:

8 0

A sequence is said to be arithmetic if every couple of adjacent elements differ by the same number. If this is the case, that constant number is called the common difference.

This sequence is arithmetic, because the difference between every element and the previous one is

$9.4 - 6 = 3.4$
$12.8 - 9.4 = 3.4$
$16.2 - 12.8 = 3.4$

So, the common differnece is 3.4, because every couple of adjacent terms differ by 3.4

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18/27=1/3 9/15<4/4 3/4<2/3 5/6>11/12 which is a true statement?

hram777 [196]

Answer:

The correct answer us 9/15<4/4

Can I please have a brainliest? I want to rank up :)

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3 years ago

Of the students at Milton Middle School, 88 are girls. If 40% of the students are girls, how many total students are there at Mi

Zolol [24]

Answer:

220

Step-by-step explanation:

To find these types of answers use a calculator my friend. 'Tis so easy, just do

*88/.4 = 220

*must divide to multiply and 44% = .44 =)

8 0

3 years ago

Match each term with the appropriate example

brilliants [131]

Answer:

1. Absolute value : d. | - 7| = 7

2. All real numbers : b. 3x = 3x

3. x = -5 : c. 5x = -25

4. No solution : a. |2x| = -10

5. Adding the opposite to both sides of the equation. : e. Canceling

Step-by-step explanation:

1. Absolute value : d. | - 7| = 7

The absolute value is considered the distance to 0... so if there's a negative sign in the value, the negative sign disappears.

2. All real numbers : b. 3x = 3x

If we divide both sides by 3, we have x = x, which will always be true.

3. x = -5 : c. 5x = -25

If we multiply each side by 5, we have 5(x) = 5(-5) thus 5x = -25

4. No solution : a. |2x| = -10

The result of an absolute value cannot be a negative number. So, that has no solution since there's no value of x that would make this true.

5. Adding the opposite to both sides of the equation. : e. Canceling

If you have for example (x = -5) and you add 5 on both sides, you cancel the value on the right side... (becomes x + 5 = 0).

8 0

3 years ago

Which of these has the same value when it is rounded to the nearest tenth and to the nearest hundredth

Nat2105 [25]

Answer:

Step-by-step explanation:

This is because rounded to the tenth is 1.5 and rounded to the hundredth is 1.50, meaning their values are the same

8 0

3 years ago

Read 2 more answers

Please solve these equations much appreciated

Reptile [31]

Answer:

Part c) $V=16,500\ m^3$

Part d) $V=93,312\pi\ mm^3$ or $V=292,999.68\ mm^3$

Step-by-step explanation:

Part c) Find the volume of the inverted rectangular pyramid

The volume of the rectangular pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the rectangular base

h is the height of pyramid

$B=(60)(15)=900\ m^2$

$h=55\ m$

substitute

$V=\frac{1}{3}(900)(55)$

$V=16,500\ m^3$

Part d) Find the maximum volume of tea in the tea cup

we know that

The volume of cylinder (tea cup) is equal to

$V=\pi r^{2}h$

we have

$r=36\ mm\\h=72\ mm$

substitute

$V=\pi (36)^{2}(72)$

$V=93,312\pi\ mm^3$ -----> exact value

<em>Find the approximate value</em>

assume

$\pi =3.14$

$V=93,312(3.14)=292,999.68\ mm^3$

7 0

3 years ago