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3 years ago

10

. The sum of three consecutive numbers is greater than 40. The inequality that represents this is x + x + 1 + x + 2 > 40. Whi

ch values of x hold true for the inequality?

1 answer:

Mrrafil [7]3 years ago

4 0

The closest you can get is 12.4.

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Drag the tiles to the correct boxes to complete the pairs Match each inequality to the number line that represents its solution

Anna [14]

Answer:

x ≤ 7 => $- \frac{13x}{18}$ + $\frac{5}{9} \geq - \frac{9}{2}$

x ≤ 8 => - $\frac{x}{10}$ + $\frac{1}{5}$ ≥ - $\frac{33}{55}$

x ≤ -5 => - $\frac{50x}{3}$ - $\frac{11}{6}$ $\geq$ $\frac{163}{2}$

x ≤ -6 => $\frac{3x}{2}$ + 105 ≤ 96

Step-by-step explanation:

- $\frac{x}{10}$ + $\frac{1}{5}$ ≥ - $\frac{33}{55}$

$\frac{1}{5}$ + $\frac{33}{55}$ ≥ $\frac{x}{10}$ / *10

2 + 6 ≥ x

8 ≥ x

- $\frac{50x}{3}$ - $\frac{11}{6}$ $\geq$ $\frac{163}{2}$ / *6

- 100x - 11 ≥ 489

-500 ≥ 100x

-5 ≥ x

$\frac{3x}{2}$ + 105 ≤ 96

$\frac{3x}{2}$ ≤ 96 - 105 / * $\frac{2}{3}$

x ≤ -6

$- \frac{13x}{18}$ + $\frac{5}{9} \geq - \frac{9}{2}$ /*18

-13x + 10 ≥ - 81

-13x ≥ -91 /:-13

x ≥ 7

5 0

1 year ago

What is the answer and formula for 7f+5=68

gladu [14]

7f=68-5
7f=63
f=63/7
f=9

4 0

2 years ago

Space Shuttle Marion is observing the launch of a space

Vera_Pavlovna [14]

Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:

$\tan{16^\circ} = \frac{1}{x_1}$

$x_1 = \frac{1}{\tan{16^\circ}}$

$x_1 = 3.5$

Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:

$\tan{74^\circ} = \frac{1}{x_2}$

$x_2 = \frac{1}{\tan{74^\circ}}$

$x_2 = 0.3$

The distance is:

$d = x_1 - x_2 = 3.5 - 0.3 = 3.2$

The shuttle traveled 3.2 miles while Marion was watching.

More can be learned about the slope concept at brainly.com/question/18090623

3 0

2 years ago

A palindrome is a number that reads the same forward and backward. For example, 2442 and 111 are palindromes. If 5-digit palindr

Verdich [7]

Answer:

27

Step-by-step explanation:

Let the 5 digit palindrome formed from 1,2,3,4,5 be represented as XYZXY

Possible outcomes of X are 1,2,3 which give 3 possible outcomes

Possible outcomes of Y are 1,2,3 which also gives 3 possible outcomes

Possible outcomes of Z are 1,2,3 which will give 3 possible outcomes.

The total possible outcome = 3*3*3

= 27

6 0

2 years ago

In two or more complete sentences describe whether or not the given relation represents a function.

vichka [17]

To be a function each x-value (input) should have only one y-value (output). Here you can see when x=2 it has an output of either 5 or 1. Therefore, the relation is NOT a function.

4 0

2 years ago