A 2 lb bag of sunflower seeds cost $1.29. Find the unit price. If needed
round the unit price to the nearest cent.

Answer:

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Step-by-step explanation:

C = (0, 7)

Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]

[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]

[tex] AC= \sqrt{0 +36 }[/tex]

[tex] AC= \sqrt{36 }[/tex]

[tex] AC= 6\: units[/tex]

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]

[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]

[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]

[tex] CB =\frac{6}{2.24} [/tex]

[tex] CB =2.68\: units [/tex]

By Pythagoras Theorem:

[tex] AB=\sqrt{AC^2 - CB^2} [/tex]

[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]

[tex] AB=\sqrt{36 - 7.18} [/tex]

[tex] AB=\sqrt{28.82} [/tex]

[tex] AB=5.36842621\: units [/tex]

[tex] AB\approx 5.37\: units [/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]

[tex] A(\triangle ABC) = 7.1958[/tex]

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Hope it be correct.

Answer:

(8x² + 10x -4) pages

Step-by-step explanation:

2x² + 5x – 3 + 5x – 3 + 6x²+ 2

2x² +6x² +5x +5x -3-3+2

8x² + 10x -4

Answer:A

Step-by-step explanation:

Edge 2020

Step-by-step explanation:

748 ≠ 712 so 534 + 214 only = 748 not 712

Answer:

4 m/s

Step-by-step explanation:

Answer:

-9x-8/4

Step-by-step explanation:

Answer:

M: (-7, -3)

A: (0, -3)

T: (0, -8)

Step-by-step explanation:

each of the points are associated with a letter. you can find the points by looking at the points it matches up with in the formatting of (x,y)

for example, for M, you can see that the dot on the x axis seems to be hovering below -7, on the y axis, it seems to be hovering next to -3. therefore, its (-7,-3)

Answer:

46 degrees for both b and c

Step-by-step explanation:

the vertical angles postulate means that the opposite angle must be the same, so 134*2=268

since all angles must be 360, subtract 268, which is 92

using the vertical angles again, b and c are the same, and the sum must be 92

92 divided by 2 is 46

Answer:

1. his account will be 120

2. 6 weeks

3. Yes, Lala will get 120 in 4 weeks while Andra will get 100

If you wanted to know Andra equation will be y=20x+20

Step-by-step explanation:

Hope this helped

Answer:

x=9

y=3

Step-by-step explanation:

since all three sides of an equlateral triangle are equal:

3x+y=30   then y=30-3x

4x-2y=30

4x-2(30-3x)=30

4x-60+6x=30

10x=90

x=9

3x+y=4x-2y

x=3y

y=3

Answer:   Slope = -32

Explanation:

The given equation is in y = mx+b form

m = -32 is the slope

b = -9/38 is the y intercept

Answer:

slope: -32

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.

Slope:  − 32

y-intercept:  ( 0 , − 9/ 38 )

9514 1404 393

Answer:

  86.6 inches

Step-by-step explanation:

The side length of an equilateral triangle is 2/√3 times the altitude. So, the perimeter is ...

  P = 3s = 3(25)(2/√3) = 50√3 ≈ 86.6 . . . . inches

Answer: I think that it is  62

Step-by-step explanation:

77 minus 15= 62

tell me if its right.

hope this helps

Answer:

some examples x could equal:

x = -19

x = -20

x = -50

x = -100

so on

Step-by-step explanation:

remember negative x negative = positive

so any negative value beneath -18 will satisfy this because it will turn positive when multiplied by that outer minus sign.

hope this helped

Answer:

3/5

Step-by-step explanation:

0.6 = 6/10 = 3/5

Answer:

2s+3b=154

s=2b

solving: s= 44, b= 22

Step-by-step explanation:

s=number of sundaes sold

b=number of banana splits sold

2s+3b=154

s=2b

to solve:

substitute s=2b into the first equation

2(2b)+3b=154

4b+3b=154

7b=154

divide both sides by 7

7b/7=154/7

b=22

s=44

Answer:

74 pesos

Step-by-step explanation:

Let us assume the one peso coins be x

so, number of five peso would be x + 4

And, the total coins is 22

Now the equation is

x + x + 4 = 22

2x + 4 = 22

2x = 22 - 4

2x = 18

x = 9

Five peso coins is 9 + 4 = 13

Now

= 9(1) + 13(5)

= 9 + 65

= 74 pesos

Answer:

radius=7.5, diameter=13

Step-by-step explanation:

diameter is the length across a circle through the middle, and it is given in the picture. radius is half of the diameter

Answer:

Can I please help you? i need you to translate this to english for my effort

Step-by-step explanation:

Answer:

easy third one also plz give heart

Step-by-step explanation:

i just know

Answer:

The value of f(2) is -9.

Step-by-step explanation:

You look for the x axis and count 2, then go down until you reach the line.

Plz mark me as Brainliest plz

Answer:

Step-by-step explanation:

[tex]\frac{146}{\pi}\\ \\ \text{Pi is irrational and cannot be expressed as a ratio of two integers.}\\ \\ \frac{146}{\pi}\approx 46.47[/tex]

Complete Question

On a map, 90 miles is represented by 3 inches. A measure of 1/2 inch on the map would represent miles.

Answer:

15 miles

Step-by-step explanation:

From the above question,

3 inches = 90 miles

1/2 inch = x miles

Cross Multiply

3 inches × x miles = 90 miles × 1/2 inch

x miles = 90 miles × 1/2 inch/3 inches

x miles = 15 miles

Therefore, a measure of 1/2 inch on the map would represent 15 miles

Answer:

the coordinates are (3,3)

Step-by-step explanation:

hope I helped!!