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Vlada [557]
3 years ago
15

The sum of a positive number and 22 is 455 times the reciprocal of the number find the number

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0

Answer:

13

Step-by-step explanation:

Let the number be x.

ATQ x+22=455/x. x^2+22x=455. x=-35 or 13. Since x is positive, x=13

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what is the equation of a line, in point-slope form, that passes through (5, -3) and has a slope of 2/3? please help me
Brums [2.3K]

y + 3 = \frac{2}{3} (x - 5)

the equation of a line in point- slope form is

y - b = m ( x - a )

where m is the slope and (a, b) a point on the line

here m =\frac{2}{3} and (a,b) = (5 , - 3 )

y + 3 = \frac{2}{3} (x - 5 ) ← in point-slope form


3 0
3 years ago
Instructions:select all the correct locations on the tables. andrew wants to purchase a new television with a screen length that
DaniilM [7]

The <em>correct answers</em> are:


5x²+70x+245 ≥ 1050; and

Yes.


Explanation:


Let x be the width of the tablet. Since the width of the TV is 7 inches more than the tablet, the width of the TV would be x+7.


The length of the TV is 5 times the width; this makes the length 5(x+7) = 5x+35.


The area of the TV would be given by

(x+7)(5x+35).


Since Andrew wants the area to be at least 1050, we set the expression greater than or equal to 1050:

(x+7)(5x+35) ≥ 1050


Multiplying this, we have:

x*5x+x*35+7*5x+7*35 ≥ 1050

5x²+35x+35x+245 ≥ 1050


Combining like terms,

5x²+70x+245 ≥ 1050


To see if 8 is a reasonable width for the tablet, we substitute 8 for x:

5(8²)+70(8)+245 ≥ 1050

5(64)+560+245 ≥ 1050

320+560+245 ≥ 1050

1125 ≥ 1050


Since this inequality is true, 8 is a reasonable width.

5 0
3 years ago
Rachael is 5 ft 6 in tall . She notices that her shadow is 4 ft long and the shadow of a nearby water tower is 100 ft long . Wha
Nimfa-mama [501]
5.5/4=x/100
4x=550
x=137.5

the water tower is 137 ft. 6 in. tall.
3 0
3 years ago
All of the following are rational numbers: .5, 7, V16<br> O True<br> O False
wel

Answer:

Your answer is: A) True

( I say true because 1) .5 2) 7 are rational) ( I dont know about v16, if that is what it is supposed to say, then I cant quite tell)

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Step-by-step explanation:

Hope this helped : )

4 0
3 years ago
Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area
Setler79 [48]

Answer:

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

3 0
3 years ago
Read 2 more answers
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