Core Algebra
Englis
Solving for an Unknown Using the Distributive Property
180(n-2)
The equation a = represents the angle measuresya, in a regular n-sided polygon. When the equation is
solved for n, n is equal to a fraction with a denominator of a - 180. What is the numerator of the fraction?

Answer:

$5.77

Step-by-step explanation:

Given expression:

1.8s + 0.65b

where,

s = the number of pounds of strawberries

b = the number of pounds bananas

If Grant bought 2.7 pounds of strawberries and 1.4 pounds of bananas

s = 2.7 pounds

b = 1.4 pounds

how much did he spend?

1.8s + 0.65b

= 1.8(2.7) + 0.65(1.4)

= 4.86 + 0.91

= $5.77

He spent $5.77 on both items

Answer:

5 3/4 inches

Step-by-step explanation:

Given that :

Long jump record held = 24 ft 9 1/4 in

Arthur's best long jump record = 24 ft 3 1/2 in

How much further must ARTHUR jump to brake the record :

Long jump record - Arthur's best jump

[24 ft 9 1/4 in] - [24 ft 3 1/2 in]

24 ft - 24 ft = 0

9 1/4 in - 3 1/2 in

37 / 4 in - 7 /2 in

L. C. M of 4 and 2 = 4

(37 - 14) / 4 inches

23 /4 inches

= 5 3/4 inch

Answer: 5 3/4 inches

Step-by-step explanation:

u subtract then complete.

Answer:

b. 1/6 yd

Step-by-step explanation:

When Betty used 1/2 OF the 1/3 yards she has she has to multiple those. It's easier to put it in a sentence in my opinion because then you can see the "of" in the sentence which means to multiply. Hope this helps!

Answer: 5(x + 3y)

Step-by-step explanation: this way, if you multiply it out from this form, you get the answer that you were trying to factor in the first place.

Answer: $1,140

Step-by-step explanation:

2000 x .03 = 60

60 x 24 months = $1,140

Answer:

The domain is (-∞ , -3) ∪ (-3, ∞) ⇒ D

Step-by-step explanation:

The domain of the rational fraction is the values of x which make the fraction defined. That means the domain does not contain the values of x which make the denominator equal to 0.

∵ g(x) = [tex]\frac{1}{x+3}[/tex]

∴ The denominator = x + 3

→ Equate the denominator by 0

∵ x + 3 = 0

→ Subtract 3 from both sides

∴ x + 3 - 3 = 0 - 3

∴ x = -3

→ That means the domain can not have -3 because it makes the denominator

   equal to 0

∴ The domain is all values of real numbers except x = -3

∴ The domain = {x : x ∈ R, x ≠ -3}

∴ The domain = (-∞ , -3) ∪ (-3, ∞)

Answer:

All Real Numbers

Step-by-step explanation:

Step 1:

6x + 2x - 4 = 4 ( 2x - 1 )         Equation

Step 2:

8x - 4 = 8x - 4          Combine Like Terms

Step 3:

8x = 8x         Add 4 on both sides

Answer:

All Real Numbers

Hope This Helps :)

A because every input has one output

Answer:

4.8 smaller pieces

Step-by-step explanation:

Total length of wood = 3.6 feet

Length of each piece = 0.75 feet

How many smaller pieces will they be able to make?

Number of smaller pieces of wood = Total length of wood / Length of each piece

= 3.6 feet / 0.75 feet

= 4.8 smaller pieces

Number of smaller pieces of wood = 4.8

Answer:A

Step-by-step explanation:

Answer:

17/25

Step-by-step explanation:

0.68 is read as "sixty-eight hundredths."

Write sixty-eight hundredths as a fraction: 68/100

Now we reduce 68/100.

68/100 = 34/50 = 17/25

Answer:

17 /25

Step-by-step explanation:

0.68

is the same as  

6

10

+

8

100

=

68

100

68

÷

4

100

÷

4

=

17

25

As 17 is a prime number we stop at this point. srry if this in not correct

Answer:

16.6

Step-by-step explanation:

Answer:

Line J

Step-by-step explanation:

It is sloping downwards. It starts in  the top left and end at the bottom right, so it it the only negative one

Answer:

Line J

Step-by-step explanation:

Its the only one descending downwards, while the other two are going up in a positive direction.

Hope this helps (:

Answer:

$8.46

Step-by-step explanation:

This is assuming that the sales tax is applied on the pre discounted item.

Answer:

It is A.

Step-by-step explanation:

It shows the steps that distribute everything properly

Answer: The answer would be the favorable out some (how many blues) over the total outcomes (all marbles added together)

So the answer would be 3/14 or 21%

Answer:

i only did the second one!

but i am still trying to solve the first.

Hope I am correct! please forgive me if this is wrong!

I did also the first one!

Answer:

300, 120, 80 and 32 respectively.

Step-by-step explanation:

To break it down for easy multiplication, write

38 as 30 + 8

14 as 10 + 4

Now let's multiply

(30 + 8)(10 + 4) = 300 + 120 + 80 + 32

So the areas of each part would be

300, 120, 80 and 32 respectively.

Answer:

(2, 5), (-5, 6) and (-1, 1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point A(x,y) is translated a units right and b units up, the new location is at A'(x + a, y + b).

From the image attached, the location of the vertices of the triangle is at (0,2), (-7, 3) and (-3, -2). If the triangle is under the translation (x, y) ⇒ (x + 2, y + 3), the new location of the vertices would be at (2, 5), (-5, 6) and (-1, 1)

Answer:

18.84

Step-by-step explanation:

The formula for circumference is 2(pi)r, I think. The radius is 3. 3 times 2 is 6. 6 times 3.14 is around 18, I think.

hope this helps

Answer:

A

Step-by-step explanation:

Answer:

terms 3

coefficients 2

constant is your 11

Step-by-step explanation:

Answer:

17 plus 44 is 61.

Step-by-step explanation:

I used a calculator. In order for ur brain to learn something new, its got to get rid of some stuff. am I right?

Answer:

-5

Step-by-step explanation:

20cm×15 cm =300

32

/100 = 0.32

9514 1404 393

Answer:

  1.5 cm

Step-by-step explanation:

All areas are in cm^2. For a width w, the border will have an area equal to the product of its centerline length and its width:

  border area = 2((20-w) +(15-w))·w = w(70 -4w)

This area is 32% of the total cover area, so is ...

  0.32(20)(15) = 96

Equating these expressions for the area gives ...

  96 = 70w -4w^2

  w^2 -17.5w = -24 . . . . . divide by -4

  w^2 -17.5w +8.75^2 = -24 +8.75^2 . . . . . complete the square

  (w -8.75)^2 = 52.5625 . . . . simplify

  w -8.75 = ±√52.5625 = ±7.25

A border width only makes sense if it is between 0 and 7.5 cm, so the appropriate value for w is ...

  w = 8.75 ± 7.25 . . . . . . . . . add 8.75

  w = 8.75 -7.25 = 1.50 . . . . . the solution w=16 makes no sense

The border width is 1.5 cm.

Answer:2b+9

Step-by-step explanation: