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3 years ago

Write the word sentence as an inequality. Then solve the inequality. Three less than a number x is more than 15.

Mathematics

1 answer:

Kitty [74]3 years ago

6 0

Answer:

x - 3 > 15 ;

x > 18

Step-by-step explanation:

Given a number, x

3 less than x ; x - 3

3 less than x is more than 15

The inequality expression becomes ;

x - 3 > 15

We can solve for X ;

x - 3 > 15

Add 3 to both sides ;

x - 3 + 3 > 15 + 3

x > 18

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Is the statement true or false? 4-2(3+7 =4 - 2 • 3 + 2 • 7

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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! Which equation matches the graph?

tatyana61 [14]

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Step-by-step explanation:

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3 0

3 years ago

Find the twenty-fifth term of an arithmetic sequence if the first term is-1 and the common difference is 5. Write the first thre

denis-greek [22]

Answer:

1). $T_{25}=119$

2). $T_{1}=-23$

$T_{2}=-23+2=-21$

$T_{3}=-23+4=-19$

Step-by-step explanation:

First term of an arithmetic sequence is (-1) and common difference is 5.

Then we have to find twenty fifth term of this arithmetic sequence.

Since explicit formula of an arithmetic sequence is represented by

$T_{n}=a+(n-1)d$

Where $T_{n}$ represents nth term of the sequence.

a = first term

n = number of term

and d = common difference

Now we will find 25th term of this sequence.

$T_{25}=(-1)+(25-1)5$

= (-1) + 120

= 119

Similarly in second part of this question we have to find first three terms of an arithmetic sequence in which

$T_{21}=17$ and

$T_{50}=75$

Now from the explicit formula

17 = a + (21 - 1)d

17 = a + 20d --------(1)

75 = a + (50 - 1)d

75 = a + 49d --------(2)

Now we subtract equation 1 from 2

75 - 17 = 49d - 20d

29d = 58

d = $\frac{58}{29}=2$

By putting d = 2 in equation 1

17 = a + 20×2

17 = a + 40

a = 17 - 40

a = -23

Therefore, first three terms of this sequence will be

$T_{1}=-23$

$T_{2}=-23+2=-21$

$T_{3}=-23+4=-19$

8 0

4 years ago