The price of a package of 4 pens is $8.00. The same pens are sold at $2.50 each. If Alex bought three packages of pens rather than buying 12 pens individually, the amount he saved on 12 pens is the percent of the amount he paid is

Answer:

Step-by-step explanation:

The 22 degree angle is opposite to the 10 m side of the right triangle.

We need to find the length x of the hypotenuse.

Use trigonometry:

Answer:

PLEASE HELP!!!!! 100 points!!!

The angle of elevation from an anchor to the top of a flag pole is 22 If the pole is

10 meters high, how long does the wire connecting the anchor to the pole must be?

(Round answer to the 1st decimal place.)

Answer:

10,9

Step-by-step explanation:

On the coordinate plane you see that the point A has to go 6 to the right and 3 up. So the ratio is: for every 2 side, there is one up. Point A does this 3 times to get to M so do three times. 6 to the right and 3 up and B is on 10,9.

Answer:

Only the primary color wavelengths are being absorbed by the ball.

Answer:Which statement is true when looking at a black ball?

Group of answer choices

Only the primary color wavelengths are being reflected by the ball.

All color wavelengths are being reflected by the ball.

All color wavelengths are being absorbed by the ball.

Only the primary color wavelengths are being absorbed by the ball.

Step-by-step explanation:

Answer: Bill's $0.1333333 per oz

Step-by-step explanation:

Answer:

There is a relationship between Deforestation and Global Climate Change.

Step-by-step explanation:

Deforestation is a cause of global climate change.

Answer:

suma is 229,997

Step-by-step explanation:

229,997

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Answer:

x=2

Step-by-step explanation:

6x+3+2x+1+4x=12x+4

5x+5x+3x+2=13x+2

12x+4=13x+2

4-2=13x-12x

2=x

Work Shown:

2 cm : 50 miles

3*(2 cm) : 3*(50 miles)

6 cm : 150 miles

Answer :

4x-ay=15

Step-by-step explanation:

Answer:

y = 5x + 2

Step-by-step explanation:

Given the equation 5x + 2

Plug in 0

y = 5(0) + 2

y = 2

(0,2)

Given the equation 5x + 2

Plug in 1

y = 5(1) + 2

y = 7

(1,7)

Answer:

15x^3-70x^2+65x+30

Step-by-step explanation:

1) 5(3x+1)= (15x+5)

2) (15x+5)(x-2)=15x^2-25x-10

3) (15x^2-25x-10)(x-3)=15x^3-70x^2+65x+30

Answer:

90 feet

1080 inches

Step-by-step explanation:

I hope it helps you!

Answer:

A

[tex]^{}[/tex]

Answer:

X = -2

Step-by-step explanation:

3x - 8/2 = x - 6

3x - 8 = x - 6 × 2

3x - 8 = x - 12

3x - x = -12 + 8

2x = -4

X = -4/2

X = -2

Hopes that it will help u...✌

Answer:

c) line VR is parallel to line ST

Answer:

Below in bold.

Step-by-step explanation:

b.

If we drop a perpendicular line from B to AC and mark the point D on AC, we have 2 right triangles, with AD = DC = 16 cm.

So tan O = BD/16 = 15/8

BD = (16*15)/8

= 2*15

= 30.

So the area of triangle ABC = 16*30

= 480 cm^2.

Answer:

Length = 150 yards

Width = 100 yards

Step-by-step explanation:

We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.

It will take the shape of a rectangle, with a dividing fence down the center.

Let W and L,  Width and Length of the larger enclosure.

See attachment.

W= Area of the larger enclosure.

The perimeter is 2W + 2L.

The dividing fence is 1W

We know that we only have 600 yards of fence, so:

2W + 2L + 1W = 600 yards

Area = W x L

---

3W + 2L  = 600    (yards)

2L  = 600 -3W

L = (600-3W)/2

L = 300 -(3/2)W

---

Use this expression in the Area calculation:

Area = W x L

Area = W x (300 -(3/2)W)

Area = 300W -(3/2)W^2)

To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.

Area' = 300 -2(3/2)W)

0 = 300 - 3W

3W = 300

W = 100 yards

Since 3W + 2L  = 600

L = (600 - 3W)/2

L = (600 - 3(100))/2

L = 150 yards

Area = 150*100 = 15,000 yards^2

Answer:

15

Step-by-step explanation:

Answer:

Answer: 855

Step-by-step explanation:

I take it you want the total number of fruit? You should state the question. I will assume I am correct.

So 25% of 60 baskets = 25/100 * 60 = 15 baskets.

Each basic contains 12 pieces of fruits                     12 * 15 = 180

And 75% of 60 baskets = 0.75 * 60 = 45 baskets.

Each contains 15 pieces                                            45 * 15 = 675

The total number of fruit in all is                                              855

Answer:

yes, this line will pass through the point of origin

Step-by-step explanation:

Answer:

Let y=ax^2+bx+c be the equation of the parabola. Set up equations.

Using (0,5). 5=a(0)2+b(0)+c

5

=

a

(

0

)

2

+

b

(

0

)

+

c

Using (2,15), 15=a(2)2+b(2)+5

15

=

a

(

2

)

2

+

b

(

2

)

+

5

4a+2b=10

2a+b=5

Using (4,9)

9=a(4)2+b(4)+5

9

=

a

(

4

)

2

+

b

(

4

)

+

5

16a+4b=4

4a+b=1

Subtract each side of (1) and (2) to eliminate b and solve for a: -2a=4

a=-2

Solve for b using (1): 2(-2)+b=5

-4+b=5

b=9

So, the equation is y=−2x2+9x+5

Step-by-step explanation:

Answer:

The chicken which is sold for 5 boxes for 25.50 is better priced.

Step-by-step explanation:

If you buy five boxes of the chicken from the place where it is 5.50 a box, buying five will be 27.50, which costs more than the place with the 25.50 price for five boxes.

Answer:

False

Step-by-step explanation:

use PEMDAS.

since there is no perenthesis you start with exponents.

10^5=100000

10^2=100

6*100,000+6*100

Next, you go to multipliation

600,000+600

Finally, you move on to addition

600,600

The factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

The polynomial function is given as:

[tex]P(x) = x^3 + 4x^2 - 9x - 36[/tex]

Factorize the given expression.

[tex]P(x) = x^2(x + 4) - 9(x +4)[/tex]

Factor out x + 4

[tex]P(x) = (x^2 - 9)(x +4)[/tex]

Express 9 as the square of 3

[tex]P(x) = (x^2 - 3^2)(x +4)[/tex]

Apply the difference of two squares

[tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

Hence, the factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

Read more about factorization at:

https://brainly.com/question/11434122

Answer:

32 degrees

a triangle is = to 180 degrees