Solve this system of equations. Show or explain your work.

3x+4y=35

y=-1/2x+8

Answer:

2/5

Step-by-step explanation:

There is an 8/20 chance that the next person will receive a window seat. You simplify that probability to get your answer. 8/20 becomes 2/5. So the answer is 2/5.

Step-by-step explanation:

20−5y+2x

20-5(-2)+2(5)

20+10+10=40

Answer:

20 − ( 5 ) ( −2 ) + ( 2 ) ( 5 )

= 20 − ( −10 ) + ( 2 ) ( 5 )

= 30 + ( 2 ) ( 5 )

= 30 + 10

= 40

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Answer:

-8/5 = -1.6

-5/8 = -0.625

-1/2 = --0.5

Step-by-step explanation:

The number that is less then -0.625 is -8/5 which is -1.6

Answer:

1. d.9

2.

3.

Step-by-step explanation:

that is the only one I know sorry

this is my answer but you need to check with your teacher

Answer:

Angle:

Find x

Angle

Find y

Angle:

Find n:

Angle addition postulate

Angle

Find x:

Angle

Find n:

Answer:

20.0 units

Step-by-step explanation:

[tex]\boxed{distance = \sqrt{ {(y1 - y2)}^{2} + {(x1 - x2)}^{2} }}[/tex]

Distance between (5, 9) and (-7, -7)

[tex] = \sqrt{( - 7 - 9)^{2} + ( - 7 - 5)^{2} } [/tex]

[tex] = \sqrt{( - 16)^{2} + ( - 12)^{2} } [/tex]

[tex] = \sqrt{256 + 144} [/tex]

[tex] = \sqrt{400} [/tex]

= 20 units

Answer: False, Step-by-step explanation: Genuine mechanical benefit and ideal mechanical benefit are not equivalent. Valid. Work yield can never be more prominent than work input.

Answer:

The price of the sweater was reduced by 40%.

Answer:

x = 15[tex]\sqrt{3}[/tex]

Step-by-step explanation:

tan60 = x / 15 = [tex]\sqrt{3}[/tex] so x = 15[tex]\sqrt{3}[/tex]

Answer:

8.7 feets

Step-by-step explanation:

As obtained frommthe diagram attached :

Base, b of triangle = 6 feets

Height of triangle, h = 12 feets

Volume of a Triangular Prism is obtained using the relation :

Base Area * Width

Base area of prism :

0.5 * base * height

0.5 * 6 * 12 = 36ft²

Width, w of the ramp =x

Volume, V = 313.2 ft³

V = base area * width

313.2 = 36 * x

313.2 = 36x

x = 313.2 / 36

x = 8.7 feets

Answer:

x=3

Step-by-step explanation:

Answer:

3 or -3

Step-by-step explanation:

|x| - 8 = -5

|x| = 3

The absolute value of x = 3, -3

Answer:

Total=600+70(x)

The average cost of the phone is C(x) = (600 + 70x)/x.

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

Given that,

The fixed price of the cellphone is $600.

And, the monthly plan is $70.

Now, the cost of the phone increases with the number of months and the average cost is the total cost divided by the number of months.

As per the question the average cost can be written as,

C(x) = (600 + 70x)/x

Where x is the number of months.

Hence, the average cost of the given phone can be written in terms of the function of month as C(x) = (600 + 70x)/x.

To know more about average click on,

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Answer: 14



Step-by-step explanation: To get this answer you would first of all 6 more means we're adding.

Quotient means division. What we're dividing is an unknown quantity -- x -- and 3.

The final total says 14. That gives us the following:

6 + x/3 = 14

Answer:

10 15 75

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

4(x-3)=40

x-3=40/4

x-3=10

x=10+3

x=13

HOPE THIS HELPS YOU

Answer:

2x>14  

2x÷2>14÷2

X>14÷2

X>7  or X€(7,∞)

Step-by-step explanation:

step 1- divide both sides of the by 2

step 2- any expression divided by itself is 1

Answer:

17

Step-by-step explanation:

a²+b²=c²

(15x15)+(8x8) = c²

225+64 = c²

√c = 17

Answer:

[tex] \sqrt{193} [/tex]

Step-by-step explanation:

Given,

Height of the triangle = 7

Base of the triangle = 12

Hypotenuse of the triangle = x

Therefore, According to Pythagoras Theorem,

[tex] {(hypotenuse)}^{2} = {(base)}^{2} + {(height)}^{2} [/tex]

[tex] {x}^{2} = {12}^{2} + {7}^{2} [/tex]

[tex] = > {x}^{2} = 144 + 49[/tex]

[tex] = > {x}^{2} = 193[/tex]

[tex] = > x = \sqrt{193} (ans)[/tex]

Answer:

The equations which have only one solution is: 5x²+20x+20=0,

Step-by-step explanation:

Answer:

5x^2 + 20x + 20 = 0

12+ 6x +9= 0​

Step-by-step explanation:

5x^2 + 20x + 20 = 0  /5             12 + 6x + 9 = 0        

x^2 + 4x + 4 = 0                          6x = -9-12

(x+2)^2=0                                    6x = -21

x + 2 = 0                                      x = -21/6

x=-2                                             x = -3.5

Answer:

Step-by-step explanation:

not sur

e

Answer: 307 ÷ 24 = 209 ÷ 32 = 456

Step-by-step explanation:

Answer:

Step-by-step explanation:

base = 784 sq in²  28 in tall pyramid

each side of the square base = √784   also equals 28

using the Pythagorean theorem the length of each side of the pyramid from the base to the point is

(side/2)² + height² =( length of the pyramid face)²

(28/2)² + 28²  = 196 + 784  = 980 =  (face length)²

face length = √980    =  31.3

area of the pyramid = 4 sides × area of each face + the area of the base

    =   4×[(1/2)(base)(face length)] + side²

    =   4(1/2)(28)(31.3) + 784

    =   2537 sq in²     Not in the solution set

Answer:

1,215 i think please be right

Answer:

25%

Step-by-step explanation:

Paso 1

Calcula la cantidad del contenedor que no estaba ocupado.

Esto se calcula como

Tamaño del recipiente: cantidad de líquido en el recipiente

= 120 lt - 90lt

= 30 litros

Paso 2

El porcentaje de la capacidad del tanque que está desocupado se calcula como:

= Capacidad del tanque que estaba desocupado / Capacidad del tanque × 100

= 30lt / 120lt × 100

= 25%

Answer:  ONLY 15, and 24 there are not more 2 digit triply numbers i have checked all the 2 digits numbers ranging from 10 to 99

Yes there are only 2 triply numbers! Isnt it shocking! I have tried for 2 digit triply numbers from 10 to 99! Yes i did that! Lets go through a basic idea first the product of its digits mean that you mulitply whatever number your checking for a triply number. Example: your checking 15 for a triply number so 1 x 5 = 5 ( you multiply the digits in the 2 digit number to find the product of its digit)! What does 3 times the product of its digits then? hmmmmm. we know that 15's product of its digit is 5 so we mulitiply 5 x 3 because it says three times the product of its digits.

Step-by-step explanation:

15 = 1 x 5 = 5 (we do 1 x 5 because we need to find the product of its digits and to do that we multiply the digits together in the 2 digit number).

5 x 3 = 15 (we multiplied 15 x 3 because it says 3 times the product of its digits. we know the product is 5 and 3 times is multiply by 3 so we do 5 x 3 which equals to 15).

So 15 is a triply number because in the second step when we multiplied 5 x 3 we got 15; and we were checking if 15 was a triply number; because we got 15 as the answer in the second step it is a triply number).

24 = 2 x 4 = 8

8 x 3 = 24  

so we got 24 as the answer again in the second step which means that 24 is a triply number.

In short, you multiply the digits in the number then whatever you get as the answer you multiply it by 3. if you get the digits from te number that you multiplied then you know that number is a triply number. from the number 10 to 99 there are ONLY 2 NUMBERS. I saw people only give 2 numbers online and i was like why does no one give all the triply but in reality there are only 2 triply numbers which are 2 digits. You can check for yourself if you dont believe me using the method above. Thank you! I hope it helped if it helped please give me a thumbs up!

We will find that the "triply" numbers are:

-15, 15, -24, 24.

We know that these aer two-digit numbers, so we can write them as:

a*10 + b

Where a and b are single-digit numbers.

A "triply" number is equal to 3 times the product of its digits, then we must have:

a*10 + b = 3*(a*b)

Moving all to one side, we have:

10a + b + 3ab = 0

So a "triply" number must meet the above criteria.

Now, the values that can take b are all the single-digit values {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

So now we need to evaluate b and find the possible vales of a.

if b = 0, then:

10*a + 0 - 3*a*0 = 0

10*a = 0

Then a = 0, but this will not give a 2-digit number.

if b = 1 then:

10*a + 1 - 3*a*1 = 0

10*a - 3a = -1

7*a = -1

a = -1/7

This is not a single-digit number.

if b = 2

10*a + 2 - 3*2*a = 0

4*a = -2

a = -2/4

This is not a single-digit number.

if b = 3

10*a + 3 - 3*3*a = 0

a = -3

a should be positive.

if b = 4 we have:

10a + 4 - 12a = 0

-2a = -4

a = -4/-2 = 2

So this gives the number 24.

if b = 5 we have

10a + 5 - 15a = 0

-5a = -5

a = -5/-5 = 1

So this gives the number 15

if b = 6

10a + 6 - 18a = 0

-8a = -6

a = -6/-8

This is not a single-digit.

if b = 7

10a + 7 -21a = 0

-11a = -7

a = -7/-11

At this point we can see that for larger values of a, we will not get more tripply numbers.

So the only "triply" numbers are: 15 and 24 (and their opposites, -15 and -24).

If you want to learn more about evaluating equations, you can read:

https://brainly.com/question/4344214

Step-by-step explanation:

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Answer: 1 inch = 9 yards

Step-by-step explanation:

From the question, we are informed that Rita drew a scale drawing of a picnic area near the river and that the picnic area, which is 135 yards long in real life, is 15 inches long in the drawing.

From the above, we can see that for every 1 inch, there are (135/15) = 9 yards. Therefore, the scale used Is:

1 inch = 9 yards