A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
-9x-8y= 41
-9x-2y=71

Answer:

105

Step-by-step explanation:

Answer:

105 for 3 hours

Step-by-step explanation:

First we have to find that how much he is charged for 1 hour.

140 : 4 = 35 per hour

Then we have to find how much he is charged for 3 hours by multiplying with 3.

3 x 35 = 105 per 3 hours

Answer:

£105

Step-by-step explanation:

let y represent the unknown amount

£150 = 4 hrs

y = 3 hrs

we then cross multiply

£150 x 3 hrs = y x 4 hrs

450= 4y

divide both sides by 4

450/4 = 4y/4

105 = y

Answer:

41 years approx

Step-by-step explanation:

Given data

P=  £3000

R=3%

Simple Interest= £3720

Time=???

We know that from the simple interest expression

SI= PRT/100

substitute

3720= 3000*3*T/100

Make T subject of the formula

T= 3720*100/3000*3

T= 372000/9000

T= 41.33

Hence the number of years is 41 years approx

Answer:

20

Step-by-step explanation:

23 would be the answer but its rounding to the nearest whole

Answer:

13% did not participate in citys recycling program not sure about the first part

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 28 degrees

Step-by-step explanation:

Since angle KJL = LJM then that means angle 7x=3x+16

First we need to solve for x

7x=3x+16

4x=16

x=4

now we can input it into either equation to solve for the angle KJL

7(4)= 28 so the angle is 28 degrees

Step-by-step explanation:

[tex] \frac{ \sin(38) }{15} = \frac{ \sin(68) }{x} \\ x = \frac{15 \sin(68) }{ \sin(38) } = 22.58 = 22.6[/tex]

Answer:

reflection

Step-by-step explanation:

Im just learned this so if I'm wrong, i'm sorry >.<

Answer: rotation

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length is (x-1), not (2-1).

area = (x-1)(x+3) = 12 ft²

x²+2x-3 = 12

x²+2x-15 = 0

(x+5)(x-3) = 0

x = -5, 3

-5 is an extraneous solution, so x=3.

Length = x-1 = 2 feet

Width = x+3 = 6 feet

Answer:

9+(2/x)

Step-by-step explanation:

Answer:

216 is the surface area

Step-by-step explanation:

48+48+48+48+12+12

Answer:

8/13

Step-by-step explanation:

4=4/1

4/1*2/13=8/13 can't be more simplified.

Please mark brainliest I need it

Answer:  6:5 ; 18:15 ; 36:30

Step-by-step explanation:

6/5 = x/15

5x = 6(15)            use cross multiply

5x = 90

x = 18

6/5 = 36/x

6x = 5(36)            use cross multiply

6x = 180

x = 30

Answer:

Answer below

Step-by-step explanation:

For every 6 taxis, there are 5 busses

if there are 15 busses, thats 3 sets of 5

6x3 is 18. so for every 15 busses, there are 18 taxis

If there are 36 taxis, thats 6 sets of 6

since there are 5 busses for every 5 taxis

5x6 is 40

for every 30 busses, there are 36 taxis

Given:

The given equation is

[tex]2x^3-3x^2+18x-27=0[/tex]

To find:

All the real solutions.

Solution:

We have,

[tex]2x^3-3x^2+18x-27=0[/tex]

It can be written as

[tex]x^2(2x-3)+9(2x-3)=0[/tex]

[tex](2x-3)(x^2+9)=0[/tex]

Using zero product property, we get

[tex](2x-3)=0[/tex] and [tex](x^2+9)=0[/tex]

[tex]2x=3[/tex] and [tex]x^2=-9[/tex]

[tex]x=\dfrac{3}{2}[/tex] and [tex]x=\pm\sqrt{-9}[/tex]

We know that [tex]x=\pm\sqrt{-9}[/tex] is an imaginary number because there is a negative sign under the square root.

Therefore, [tex]x=\dfrac{3}{2}[/tex] is the only real solution of the given equation.

Answer:

83

Step-by-step explanation:

Total averages from the known classes

85+92+95+95=367

367+83=450

Divide 450 by the number of classes she has(5)

=90

Answer:

X = 15

Step-by-step explanation:

Let's solve your equation step-by-step.

−18+x=−x+12

Step 1: Simplify both sides of the equation.

x−18=−x+12

Step 2: Add x to both sides.

x−18+x=−x+12+x

2x−18=12

Step 3: Add 18 to both sides.

2x−18+18=12+18

2x=30

Step 4: Divide both sides by 2.

2x/2 30/2 = 15

Answer:

What percent of 9 is 18 = 200% and for the second part it is B.

Step-by-step explanation:

I just know that is the answer.

Answer:

a) 10%

b) 80%

c) 20%

Step-by-step explanation:

I hope that is useful for you :)

Answer:

hi

Step-by-step explanation:

hi

Answer:

Step-by-step explanation:

Because,

Given two triangles are similar.

Ratio of their sides...

24/8 = 4

Therefore,

Side YX is corresponding to side NM.

Therefore, 12/YX = 4

YX = 4cm.

Answer:

el termómetro sería de 4 grados Celsius negativos

Step-by-step explanation:

¡Espero que esto ayude!

Answer:

Original coordinates of F is (2,1)

Step-by-step explanation:

when DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), coordinates of point F' will be

( 2 x 1/2, 1 x 1/2 ) = ( 1, 1/2 )

Answer:

Step-by-step explanation:

5x5 = 10  

Answer:

35

Step-by-step explanation:

Answer:

2x+y=3

-2x -2x

y=-2x+3 would be your slope intercept form (y=mx+b)

Answer:

how can I be of help

can't see anything actually

Answer:

72

Step-by-step explanation:

80x.90= 72

Answer:

72 is your answer

Step-by-step explanation:

Opposite angles are equal.

Opposite sides are equal and parallel.

Diagonals bisect each other.

Sum of any two adjacent angles is 180°