Is 8/7 a rational number

Answer:

Step-by-step explanation:

5 - 2y = - 8

Subtract 5 from both sides

-2y = - 8 - 5

-2y = - 13  

Divide by - 2

-2y/-2 = - 13/-2

y = 6 1/2 or 6.5

Answer:

yes it is

Step-by-step explanation:

I hope that this is what you are looking for

Step-by-step explanation:

Let's take the following question as an example,

[tex]\frac{2}{3} x-\frac{1}{4} = \frac{1}{6}[/tex]

Start by adding 1/4 to both sides.

[tex]\frac{2}{3} x - \frac{1}{4} + \frac{1}{4} = \frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{2}{3}x = \frac{1}{6}+ \frac{1}{4}[/tex]

To add both 1/6 and 1/4 together we must have a common denomitor.

The common denominator for 1/6 and 1/4 is 12

[tex]\frac{2}{3}x = (\frac{1}{6}*\frac{2}{2} ) + (\frac{1}{4}*\frac{3}{3} )[/tex]

Multiple to get the common denomiators

[tex]\frac{2}{3}x = (\frac{2}{12}) + (\frac{3}{12} )[/tex]

Now we can add the fractions.

[tex]\frac{2}{3}x = \frac{5}{12}[/tex]

To get the x by itself we can either multiple by the reciprobcal of 2/3 or multiple by 3 and then divide by 2

[tex](\frac{3}{2} )* \frac{2}{3} x = (\frac{5}{12})(\frac{3}{2})[/tex]

The left side will become x as 3/2 and 2/3 cancel each other out

[tex]x = (\frac{5}{12}) (\frac{3}{2})[/tex]

Multiple the right side to get a value for x

[tex]x = \frac{15}{24}[/tex] or [tex]x = \frac{5}{8}[/tex]

If you notice we can simplfy the fraction to 5/8

Answer:

(A) $8,439.91

Step-by-step explanation:

Just took test

Answer:

there is no meme

Step-by-step explanation:

Answer:

40 percent

Step-by-step explanation:

4/10=40/100=40 percent

Answer:

Step-by-step explanation

[tex]a^{m} * a^{n} = a^{m+n}\\\\x^{3}*x^{4} = x^{3+4} = x^{7}[/tex]

In product of powers, if base is same, just add the powers

Answer:

P(x < 3) = 0.42319

Step-by-step explanation:

From the given information:

The mean density [tex]\lambda =[/tex] 3

Let x be the random variable that follows a Poisson distribution.

Therefore:

[tex]\mathtt{P(x) = \dfrac{e^{-\lambda} \lambda ^x}{x!}}[/tex]     for x =1, 2, 3...

However, the probability that a random quadrat contains less than 3 spatuletails can be computed as:

[tex]\mathtt{P(x <3 ) = \dfrac{e^{-3}3 ^0}{0!}+ \dfrac{e^{-3}3 ^1}{1!}+ \dfrac{e^{-3} 3 ^2}{2!} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{3 ^0}{0!}+ \dfrac{3 ^1}{1!}+ \dfrac{3 ^2}{2!} \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{1}{1}+ \dfrac{3 }{1}+ \dfrac{9}{2} \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} 1+3+ 4.5 \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix}8.5 \end {pmatrix} }[/tex]

P(x < 3) = 0.42319

Answer:

it a d) option i.e d) AAS test

Answer:

B.  3,157 in^2

Step-by-step explanation:

surface area of a pyramid shown = 3x lateral area + base area

given:

s1 = s2 = s3 = 42 in

L = 38 in

lateral area = ( 1/2 * 42 * 38 ) = 798 sq. in

base area = √3 * s^2

                          4

                 = √3 * 42^2

                             4

                 = 763.834 sq. in

therefore,

surface area of a pyramid shown = 3x 798 + 763.834 = 3,157 in^2

Answer:

= 3,157 in^2

Step-by-step explanation:

surface area  = 3x lateral area + base area

given:

side lengths area s1 = s2 = s3 = 42 in

slant height = 38 in

lateral area = ( 1/2 * 42 * 38 )

                   = 798 sq. in

base area = (√3 * s^2 ) / 4

                  = (√3 * 42^2 ) / 4

                 = 763.83 sq. in

surface area = 3x 798 + 763.834

                     = 3,157 in^2

Answer:

-150

Step-by-step explanation:

Answer:

[tex] \huge \: \orange { \boxed{x = \frac{c}{200} - 8 }}[/tex]

Step-by-step explanation:

[tex] \huge \: c = 200x + 1600 \\ \\ \huge \:c - 1600 = 200x \\ \\ \huge \:\frac{c - 1600}{200} = x \\ \\ \huge \: \frac{c}{200} - \frac{1600}{200} = x \\ \\ \huge \:\frac{c}{200} - 8 = x \\ \\ \huge \: \red{ \boxed{x = \frac{c}{200} - 8 }}[/tex]

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]3.8x-2(x-9)=4.4x+5[/tex]

Distribute the -2:

[tex]3.8x+(-2x+18)=4.4x+5[/tex]

Combine like terms on the left:

[tex]1.8x+18=4.4x+5[/tex]

Subtract 1.8x from both sides. The left cancels:

[tex]18=2.6x+5[/tex]

Subtract 5 from both sides. The right cancels:

[tex]13=2.6x[/tex]

Divide both sides by 2.6:

[tex]x=13/2.6[/tex]

Simplify (multiply both layers by 10 to get rid of the decimal):

[tex]x=130/26[/tex]

Reduce (divide both layers by 26):

[tex]x=5[/tex]

So, the value of x is 5.

Answer:

5

Step-by-step explanation:

Step 1:

3.8x - 2 ( x - 9 ) = 4.4x + 5

Step 2:

3.8x - 2x + 18 = 4.4x + 5

Step 3:

1.8x + 18 = 4.4x + 5

Step 4:

18 = 2.6x + 5

Step 5:

13 = 2.6x

Answer:

5 = x

Hope This Helps :)

Answer:

Step-by-step explanation:

Y2-y1 , x2-x1

7-3=5

10-(-1=11

5/11 so y=5/11x is the answer

Answer:

Y= 1x+-3

Step-by-step explanation:

Answer:

I believe it's D

Step-by-step explanation:

Answer:

{2, 5, 11}

Step-by-step explanation:

First, 110 = 2 * 55

Next, 55 = 5 * 11

Thus, the prime factors of 110 are {2, 5, 11}

Answer:

x=6

Step-by-step explanation:

6 minus 2 is 4 and 4 divided by two is 2

1.40 x 21 passes = 29.40 for passes.

38.40 - 29.40 = 9.00

He spent $9.00 on the card

Answer:

1.45

Step-by-step explanation:

not sure but trying to help :)

Answer:

120=2*2*2*3*5

160=2*2*2*2*2*5

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

1.   120 = 12  * 10

= 2*2*3*2*5

= 2*2*2*3*5

2.  160 = 10 * 16

= 2*5*2*2*2*2

= 2*2*2*2*2*5

Answer:

21:126

6:36

1:6

Step-by-step explanation:

Answer: D. Lower interest rates to allow businesses to borrow more money

Step-by-step explanation:

just took the test

To address a falling GDP, a government may lower interest rates to allow businesses to borrow more money.​ The correct option is A.

Real GDP (short for real GDP) is a macroeconomic measure of the value of economic output adjusted for price changes. This adjustment transforms the money-value measure, nominal GDP, into an index for the quantity of total output.

It is computed using the prices of a given base year. To calculate Real GDP, you must first determine how much GDP has been changed by inflation since the base year and then divide that amount by the number of years.

A government may lower interest rates to allow businesses to borrow more money in order to address a falling GDP.

To know more about GDP follow

https://brainly.com/question/1383956

#SPJ5

Answer:

KM= KL+LM

5x+10=3x+4x

5x+10=7x

2x=10

x=5

now

kl=3x=3*5=15

Answer and Step-by-step explanation:

The volume of the resulting solid is shown below:-

The lines in for

y can be y = sqrt(x) using square root

and y = x ÷ 5

In this, the intersect is done when sqrt(x) = x ÷ 5  using square root

Now

x = x^2 ÷ 25

x = 0

or

x = 25

so outermost is x ÷ 5 innermost is sqrt(x)  using square root

Therefore A is

= integral of pi ( (x ÷ 5-5)^2 - (sqrt(x)-5)^2)  using square root

from 0 to 25

= 625 pi ÷ 6

Given :

∠m1 = ( 7x - 19 )° .

∠m2 = ( x + 5 )° .

To Find :

The value of x .

Solution :

Since , relation between angle ∠m1 and ∠m2 is not given .

Let , us assume that sum of ∠m1 and ∠m2 is 180° .

So ,

[tex](7x-19)+(x+5)=180^{\circ}\\\\8x-14=180\\\\8x=194\\\\x=24.25^{o}[/tex]

Angle ∠m2 = (24.25  + 5 )° = 29.25° .

Therefore , ∠m2 = 29.25° .

Hence , this is the required solution .

Answer:

Given :

∠m1 = ( 7x - 19 )° .

∠m2 = ( x + 5 )° .

To Find :

The value of x .

Solution :

Since , relation between angle ∠m1 and ∠m2 is not given .

Let , us assume that sum of ∠m1 and ∠m2 is 180° .

So ,

Angle ∠m2 = (24.25  + 5 )° = 29.25° .

Therefore , ∠m2 = 29.25° .

Hence , this is the required solution .

Step-by-step explanation:

Answer:

[tex](x - 3)^{2} = 17[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 6x = 8 \\ {x}^{2} - 6x + 9 = 8 + 9 \\ (x - 3)^{2} = 17[/tex]