his week, Michael collected $468 for delivering newspapers. He had 40 repeat customers and 18 new ones. As an incentive, he charged the new subscribers $3 less than the repeat customers. If x represents the amount Michael collects from each repeat customer, which equation models this problem? What is the fee Michael charges each new subscriber?

Answer:

x=4

Step-by-step explanation:

Let's solve the equation:

3x+12=4x+8

12=4x-3x+8

12=x+8

12-8=x

4=x

x=4

The way i got this answer was by solving the equation using the following steps. Since you're solving for one side and have two different equations, put an equal sign in between the two equations to get the equation set up above. Then you need to have the x variable on one side, instead of both sides, so you take 3x and subtract it from both sides, leaving x on one side, because 4x-3x is equal to 1x, or just x. Then we need to have what is not attached to a variable on the other side to make it easier to solve, so you would need to subtract 8 from both sides to get rid of the 8 on the side with the variable, because if you subtract 12 from both sides, it will just make it more confusing to solve, and then 12-8 is equal to 4, so you get x is equal to 4.

Answer:

.725 or if its a whole with a decial 7.25 or 72.5

Step-by-step explanation:

Answer:

0.28

Step-by-step explanation:

i just took the assignment

i hope it helps :3

Answer:

y - 12 = -3 (x - 6)

y = -3x +6

6 minutes

The delivery times decreased by 3 minutes each day

Step-by-step explanation:

Point Slope:

Let's pick a point first (6,12)

The Slope of the line is -3

y - y1 = m (x - x1)

y - 12 = -3 (x - 6)

Slope-intercept:

The y-intercept is not shown on the graph but we can turn the point slope form of the equation to slope-intercept

y - 12 = -3x + 18

y = -3x +6

y-intercept:

y = mx + b

y = -3x + 6

m = 6

6 minutes

Slope:

we already know the slope is 3

The delivery times decreased by 3 minutes each day

Answer:

Step-by-step explanation:

50 sum i think

Answer:

Step-by-step explanation:

See a solution process below:

Explanation:

Step 1) Solve the second equation for

x

:

2

x

−

2

y

=

18

2

x

−

2

y

+

2

y

=

18

+

2

y

2

x

−

0

=

18

+

2

y

2

x

=

18

+

2

y

2

x

2

=

18

+

2

y

2

2

x

2

=

18

2

+

2

y

2

x

=

9

+

y

Step 2) Substitute

(

9

+

y

)

for

x

in the first equation and solve for

y

:

4

x

+

3

y

=

−

13

becomes:

4

(

9

+

y

)

+

3

y

=

−

13

(

4

×

9

)

+

(

4

×

y

)

+

3

y

=

−

13

36

+

4

y

+

3

y

=

−

13

36

+

(

4

+

3

)

y

=

−

13

36

+

7

y

=

−

13

−

36

+

36

+

7

y

=

−

36

−

13

0

+

7

y

=

−

49

7

y

=

−

49

7

y

7

=

−

49

7

7

y

7

=

−

7

y

=

−

7

Step 3) Substitute

−

7

for

y

in the solution to the second equation at the end of Step 1 and calculate

x

:

x

=

9

+

y

becomes:

x

=

9

−

7

x

=

2

The solution is:

x

=

2

and

y

=

−

7

or

(

2

,

−

7

)

The solution is:

x

=

2

and  

y

=

−

7

 or

(

2

,

−

7

)

Answer:

see explanation

Step-by-step explanation:

The angle at the circumference b , is half the angle subtended at the centre by the arc XZ, that is

b = 0.5 × 72 = 36

OZ and OX are congruent ( both radii of the circle )

Thus Δ OXZ is isosceles with base angles congruent, thus

a = [tex]\frac{180-72}{2}[/tex] = [tex]\frac{108}{2}[/tex] = 54

∠ XZY = 90° ( angle in a semicircle is right )

Answer:

2 1/4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer: i guess 3

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

x = - [tex]\frac{3}{28}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{2}{3}[/tex] x + [tex]\frac{3}{7}[/tex] = [tex]\frac{1}{2}[/tex]

Multiply through by 42 ( the LCM of 3, 7 and 2 ) to clear the fractions

- 28x + 18 = 21 ( subtract 18 from both sides )

- 28x = 3 ( divide both sides by - 28 )

x = - [tex]\frac{3}{28}[/tex]

Answer:

Step-by-step explanation:

The estemit will be 0

Answer:

28

Step-by-step explanation:

Answer: 28

Step-by-step explanation:Use the values of a b and c for the discrimiant

Answer:

36 for $8.00

Step-by-step explanation:

Given:

Principal = $3500

Rate of simple interest = 3.65% = 0.0365

Time = 4 year

To find:

The amount.

Solution:

The formula for simple interest is

[tex]I=P\times r\times t[/tex]

where, P is principle, r is rate of interest and t is time in years.

Substituting P=3500, r=0.0365 and t=4, we get

[tex]I=3500\times 0.0365\times 4[/tex]

[tex]I=511[/tex]

Now,

[tex]Amount=P+I[/tex]

[tex]Amount=3500+511[/tex]

[tex]Amount=4011[/tex]

Therefore, the amount after 4 years in pahola's account is $4011.

Answer:

Yes, The expressions 8a² - 4b + 7a² and 5(3a² - 2b) + 6b are equivalent

Step-by-step explanation:

To answer the question you must simplify each expression, then compare them to find if they are equivalent or not  

∵ The 1st expression = 8a² - 4b + 7a²  

→ Add the like terms

∴ The 1st expression = (8a² + 7a²) - 4b

∴ The 1st expression = 15a² - 4b

∵ The 2nd expression = 5(3a² - 2b) + 6b

→ Multiply the bracket by 5

∴ The 2nd expression = 5(3a²) - 5(2b) + 6b

∴ The 2nd expression = 15a² - 10b + 6b

→ Add the like terms

∵ The 2nd expression = 15a² + (-10b + 6b)

∴ The 2nd expression = 15a² + -4b

→ Remember (+)(-) = (-)

∴ The 2nd expression = 15a² - 4b

∵ The 1st expression = The 2nd expression

∴ The two expressions are equivalent

∴ The expressions 8a² - 4b + 7a² and 5(3a² - 2b) + 6b are equivalent

Answer:

499500

Step-by-step explanation:

Hope this helps. :)

Answer:

Calculate Grass Seed Quantity

From the table above, Sun & Shade Mix requires 6 lbs. of seed per thousand sq. ft. for a new planting.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given : For each sandwich:

Quantity of meat used = 4 ounces

Quantity of cheese used = 3 ounces

The combined ounces of meat and cheese are used on each sandwich =

Quantity of meat used + Quantity of cheese used

= 4 ounces + 3 ounces

= 7 ounces

Hence, The combined ounces of meat and cheese are used on each sandwich =  7 ounces

Answer:

Step-by-step explanation:

[tex]\dfrac45-\dfrac13\cdot\dfrac45=\dfrac{4\cdot3}{5\cdot3}-\dfrac4{15}=\dfrac{12}{15}-\dfrac4{15}=\dfrac8{15}[/tex]

Answer:

the picture is blocked but i say b

Step-by-step explanation:

Answer:

The philosophy of life would include things like how you decide what is “good” and “bad”, what “success” means, what your “purpose” in life is (including if you don't think there is a purpose), whether there is a God, how we should treat each other, etc

Step-by-step explanation:

Answer:

Net Area = 168

Step-by-step explanation:

See attachment for complete question

I'll make reference to the attachment, when needed.

The shapes that make up the net are labelled 1 to 5.

So, to calculate the surface area of the net, we simply calculate the surface area of each label.

Label 1: Rectangle

Area = Length * Width

Area = 10 * 5

Area = 50

Label 2: Rectangle

Area = Length * Width

Area = 8 * 5

Area = 40

Label 3: Rectangle

Area = Length * Width

Area = 6 * 5

Area = 30

Label 4: Triangle

Area = ½Base * Height

Base = 6 and Height = 8

So:

Area = ½ * 6 * 8

Area = 24

Label 5: Triangle

Area = ½Base * Height

Base = 6 and Height = 8

So:

Area = ½ * 6 * 8

Area = 24

So, the net area is the summation of the calculated areas of label 1 to 5

Net Area = 50 + 40 + 30 + 24 + 24

Net Area = 168

Your answer is:

y = 85

Hope this helped! -Perplxxd

Answer:

hi whats up

Step-by-step explanation:

Answer:

$4000

Step-by-step explanation:

$600 = .15x where x is the total monthly budget

x = $600/.15

x = $4000

This question is incomplete

Complete Question

Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon. How much ribbon does Leah have left?

A.) -12 meters

B.) -5 meters

C.) 5 meters

D.) 12 meters

Answer:

C.) 5 meters

Step-by-step explanation:

From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon.

Step 1

3 4/9 meters + 6 5/9 meters

Least Common Denominator = 9

(3+ 6) + [ 4/9 + 5/9)

9 + [4 + 5/9]

9 + [9/9]

9 + 1

= 10 meters

This means, the total number of ribbons cut is 10 meters

The amount of ribbon Leah has left =

Initial length of ribbon - Amount of ribbon cut

= 15 meters - 10 meters

= 5 meters

Hence, Leah has 5 meters long of ribbon left

Answer:

the answer is 5 meters left

Step-by-step explanation:

Answer:

3

x

6

+

x

5

−

x

4

−

6

x

3

+

x

2

+

3

x

−

1

Step-by-step explanation:

simp

Answer: =3x^6 + x^5 − x^4 − 6x^3 + x^2 + 3x − 1

Step-by-step explanation:

Answer:

C Multiply/divide both sides by the same non-zero constant

Step-by-step explanation:

Given

[tex]A:\ 3(x + 2) = 18[/tex]

[tex]B:\ x + 2 = 6[/tex]

Required

How to get B from A

It can be seen that B is a factor of A.

And to get B from A, all you need to do is divide both sides of A by 3.

i.e.

[tex]\frac{3(x+2)}{3} = \frac{18}{3}[/tex]

[tex]x+2 = 6[/tex]

Hence, from the list of given options.

Option C answers the question because 3 is a non zero constant and both sides of the equation were divided by 3

Answer:

16/23

Step-by-step explanation:

well,

24 x 4 = 96

23 x 6 = 138

96/138 = 16/23

24×2/23×6

48/138

=0.3380