Which system of equations is equivalent to the following system?
4x + y = 4
2x + 7y = 28

Answer:

1.

8x + 6y = 28

9x + 3y = 39

Set to equal y.

8x + 6y = 28

6y = -8x + 28

y = -8/6x + 28/6

y = -4/3x + 14/3

9x + 3y = 39

3y = -9x + 39

y = -9/3x + 39/3

y = -3x + 13

Set equal to each other.

-4/3x + 14/3 = -3x + 13

Combine like terms.

5/3x = 25/3

Multiply by 3/5

x = 5

Plug x in.

y = -3(5) + 13

y = -15 + 13

y = -2

(5, -2)

2.

-2x - 9y = -3

-7x - 9y= -33

Set equal to y.

-2x - 9y = -3

-9y = 2x - 3

y = -2/9x + 3/9

y = -2/9x + 1/3

-7x - 9y= -33

-9y = 7x - 33

y = -7/9x + 33/9

y = -7/9x + 11/3

Set equal to each other

-2/9x + 1/3 = -2/9x + 1/3

0 = 0

infinitely many solutions

Answer:

$225.

Step-by-step explanation:

Let the  price before taxes be x dollars. Then we have the equation:

x + 7% of x = 240.75

x + 0.07x = 240.75

1.07x = 240.75

x = 240.75/1.07

= $225.

Answer:

1. |40 – 4x| < 4

2. 9 < x < 11

Step-by-step explanation:

We'll begin by calculating the area of each figure. This can be obtained as follow:

For triangle:

Area = ½ × base × height

Base = 8

Height = 6

Area =?

Area = ½ × 8 × 6

Area = 4 × 6

Area = 24

For Rectangle:

Area = length × breadth

Length = x – 4

Breadth = 4

Area =?

Area = (x – 4) × 4

Area = 4x – 16

Summary:

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

1. Writing an absolute value for the inequality.

From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:

Aₜ – Aᵣ < 4

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

24 – (4x – 16) < 4

Simplify

24 – (4x – 16) < 4

Clear bracket

24 – 4x + 16 < 4

24 + 16 – 4x < 4

40 – 4x < 4

Thus, we can write the absolute value for the above inequality as:

|40 – 4x| < 4

2. Determination of the solution of the inequality.

This is illustrated below:

|40 – 4x| < 4

Thus the above equation can be written as

– 4 < 40 – 4x < 4

Subtract 40 from both side

– 4 – 40 < 40 – 4x – 40 < 4 –40

– 44 < – 4x < – 36

Divide through by –4

– 44/–4 < x < – 36/–4

11 > x > 9

Note: the inequality sign changed because we divided by a negative number

Thus, 11 > x > 9 becomes 9 < x < 11

Therefore, the solution to the inequality is 9 < x < 11

Step-by-step explanation:

Let the number be x.

Half of a number is x/2 and a third of the number is x/3

ATQ,

[tex]x+\dfrac{x}{2}+\dfrac{x}{3}=275\\\\\dfrac{6x+3x+2x}{6}=275\\\\\dfrac{11x}{6}=275\\\\x=\dfrac{275\times 6}{11}\\\\x=150[/tex]

Frist no is 150

Second no is 150/2 = 75

Third no is 50

Answer:

A) Spin or turn

Step-by-step explanation:

Answer:   2.5t + 350 = 3t + 225

t = 250 btw

Answer:

b

Step-by-step explanation:

b

Answer:

Step-by-step explanation: 60÷8=7.5x5=37. 5

60÷5=12x2=24

24+37.5=61.5

It was exactly 61 minutesand 50 seconds

Answer:

60÷8=7.5x5=37. 560÷5=12x2=2424+37.5=61.5It was exactly 61 minutes and 50 seconds

Step-by-step explanation:

Answer:

Ughhhhhhhhh harder daddy

Step-by-step explanation:

First you let him put the penis in the hole

Answer:

The probability of an impossible event is 0. The probability of a possible event is 1.

Step-by-step explanation:

I don't know if this is correct but I do hope this helps either way.

Answer:

A

Step-by-step explanation:

the only bracket that gives you x=-4 is the first one, the other one is only if the value is above -4

filling in the top one you get [tex]\sqrt[3]{5-4}[/tex] which equals 1

Answer:

Pretty sure its Chris

Step-by-step explanation:

I've done this work and the only one with the answer is him.

Answer:

12 minutes.

Step-by-step explanation:

Answer:

angle B and angle f

Step-by-step explanation:

im not all that smart but goodluck

Answer:

A:120

Step-by-step explanation:

Well it's not B or C or D so the logical conclusion is that it must be A.

Answer:

its 4

Step-by-step explanation:

Answer:

C/ x and y

A/-2 and 3/4

B/ 3/7

Step-by-step explanation:

i got it right

The variables are x and y, the coefficients are -2 and 3/4, and the constant is 3/7 in the given algebraic expression 3x/4 − 2y + 3/7.

Algebraic expressions are mathematical statements that comprise at least two variables or integers.

Arithmetic operations can also be described via subtracting, dividing, and multiplying built-in functions.

We have been the given algebraic expression as :

⇒ 3x/4 − 2y + 3/7

Here variables are x and y

The coefficients are -2 and 3/4

The constant is 3/7

Therefore, the variables are x and y, the coefficients are -2 and 3/4, and the constant is 3/7 in the given algebraic expression 3x/4 − 2y + 3/7.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

Answer:

1. x=7

2. x=6

3. x=6

4. x=4

5.x=70 degrees

6. x=75 degrees

Step-by-step explanation:

My answers may not be correct.

Answer:

We really need help someone please help us

Step-by-step explanation:

Answer:

29.2 divided by 4.9 = 6.0

Step-by-step explanation:

29.2 divided by 4.9 = 5.95918367

5.95918367 → 6.0

Key:

→ = rounded to the nearest tenth

Answer:

29 ÷ 5 the estimated quotient is 5 4/5

Step-by-step explanation:

I took the test (;

Answer:

goobaaaaa

Step-by-step explanation:

Answer:

7.59604031⋅10 to the power 126

Step-by-step explanation:

Answer:

i cant see the picture

Step-by-step explanation:

Answer: y=4x+6

Step-by-step explanation: you replace the variables in the equation with the variables in the point given to find b.

Answer:

[tex]y = 4x+6[/tex]

Step-by-step explanation:

Equation of a line

The equation of a line can be written in the form:

[tex]y = mx+b[/tex]

Where m is the slope of the line and b is the y-intercept. We are given the value of m=4, thus the equation becomes:

[tex]y = 4x+b[/tex]

To find the value of b, we use the point (0,6):

[tex]6=4*0+b[/tex]

Solving:

[tex]b=6[/tex]

Thus, the equation in slope-intercept form of the required line is

[tex]\boxed{y = 4x+6}[/tex]

Answer:

8

Step-by-step explanation:

Because you can count the squares on the side or you can just do the square root of 64.

Answer:

D. Ryan found the Least Common Multiple

Answer :

D - Ryan found the least common multiple.

Answer:

D: 0.50x+15

Step-by-step explanation:

batteries used(each)- x, so you add the x in front of 0.50 representing multiplication between the #

you are doing total cost so you are doing addition (obvously) then its a plain $15 for the toy itself therefore,

y=0.50x+15               (hope this made sense)

Answer:

The angular velocity is 8.38 radians per minute

Step-by-step explanation:

From the question,

It takes 45 seconds to complete a full revolution,

That is, 1rev/45secs

First, we will convert this to revolutions per minute (rev/min)

1rev/45secs = [tex]\frac{1 revolutions}{45 seconds} \times \frac{60seconds}{1minute}[/tex]

= 4/3 rev/min

Now, we will convert this to radians per minute (rad/min)

1 revolutions = 2π rad

4/3 rev/min = [tex]\frac{\frac{4}{3} rev}{min} \times \frac{2\pi rad}{1 rev}[/tex]

= 8.38 rad/min

Hence, the angular velocity is 8.38 radians per minute

Answer:

180

Step-by-step explanation:

Answer:

g(6) = 31

Step-by-step explanation:

If g(x) = x^2 - 5, that means to solve for g(6) you just have to replace the x in the equation with 6.

g(6) = 6^2 - 5

g(6) = 36 - 5

g(6) = 31