Which inequality is represented by this graph? -58 -57 -56 -55 -54 -53 -52 -51 -50

1. Five times a whole number x is subtracted from 62 The result is less than 40

grandymaker [24]

Answer:

Step-by-step explanation:

1. Symbolically, we get: 62 - 5x < 40

2. y - 7.3 < 3.4. Solve for y by adding 7.3 to both sides, obtaining:

y < 10.7 This is both the 'range' and the 'solution'

3a) 4b = 9b + 45, or -5b = 45, or b = -9

3b) 5a + 10 = 4a - 4

Combining like terms results in a = -14

6 0

3 years ago

Determine the perimeter of triangle AGN.

Harman [31]

Answer:

150

Step-by-step explanation:

The perimeter of a triangle is defined or given as the summation of all its 3 sides.

Mathematically,

The perimeter of a Triangle = Side A + Side B + Side C

In the above question, we are to find the perimeter of Triangle AGN.

In the diagram , we have an inscribed circle of RTE

Therefore these values are given in the question.

Side AR = 35

Side RG = 21

Side EN = 19

We have an inscribed Triangle in the question with its side touching the Triangle. This means we have lines that are tangent. Hence we have,

Side EG = Side RG = 21

Side TN = Side EN = 19

Side AT = Side AR = 35.

Therefore, The Perimeter of Triangle AGN = Side AT + Side AR + Side TN + Side EN + Side EG + Side RG

= 35 + 35 + 19 + 19 + 21 + 21

= 150

The perimeter of Triangle AGN is 150

3 0

4 years ago

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 10^{7} calculations per second?

crimeas [40]

Answer:

the comuter does 1 calculation in 1.5* $10^{-17}$ nanosec

Step-by-step explanation:

First step: we need to write all terms in nanosec, as we know:

1[nanosec]= $10^{-9}$ [sec]

The computer does 6.7* $10^{7}$ [ $\frac{calculation}{sec}$ ]

if we multiplicate for $\frac{sec}{nanosec*10^{*9}}$ , from the units convertion.

6.7* $10^{7}$ [ $\frac{calculation}{sec}$ * $\frac{sec}{nanosec*10^{*9}}$

6.7* $10^{16}$ [ $\frac{calculation}{nanosec}$ ]

Now doing a simple three rule we have this:

6.7 * $10^{16}$ calculation in ⇒ 1 nanosec

1 calculation in ⇒ $\frac{1 nanosec* 1calculation}{6.7*10^{16} calculation }$

So, we found: the comuter does 1 calculation in 1.5* $10^{-17}$ nanosec

8 0

3 years ago

Simplify the radical expression

never [62]

Sqrt(56x^2) = x*sqrt(56) = x*sqrt(4*14) = x* sqrt(4) * sqrt(14)

= 2x*sqrt(14) (answer)

3 0

3 years ago

I beg help me finish this HW

erastovalidia [21]

Answer: The mixed number 16 1/3

Some books write this as 16 & 1/3 to help separate out the whole part (16) and the fractional part (1/3) better.

On paper, you'd write it as $16 \frac{1}{3}$

===========================================================

Explanation:

The three angles mentioned (AOC, DOC, EOD) all combine to form a straight angle AOD = 180 degrees

So we can say,

(angle AOC) + (angle DOC) + (angle EOD) = angle AOD

(angle AOC) + (angle DOC) + (angle EOD) = 180

(7x-2) + (2x+8) + (27) = 180

7x-2 + 2x+8 + 27 = 180

(7x+2x) + (-2+8+27) = 180

9x+33 = 180

9x = 180-33 ... subtract 33 from both sides

9x = 147

x = 147/9 .... divide both sides by 9

x = 16.333333 .... use calculator here

The stuff to the left of the decimal (16) is the whole part

The decimal part 0.33333 where the 3's go on forever converts to 1/3

We can see this if we multiply 0.33333 with 9 getting 0.33333*9 = 2.99997

and that rounds to 3, so 3/9 = 1/3

In short, 16.333333 = 16 & 1/3

3 0

4 years ago