You purchase 5 pounds of apples and 2 pounds of oranges for $9. Your friends purchases 5 pounds of apples and 6 pounds of oranges for $17. What is the price per pound for each fruit?

Answer:

The equation in the standard form of the line through the given points is;

y = 3x - 17

Step-by-step explanation:

We start by getting the slope of the line;

m = (y2-y1)/(x2-x1)

m = (7-10)/(8-9) = -3/-1 = 3

The stands equation form is;

y = mx + b

m is slope, b is the y-intercept

so we have

y = 3x + b

To get b, we substitute the coordinates of any of the points

10 = 3(9) + b

10 = 27 + b

b = 10-27

b = -17

So the equation is;

y = 3x - 17

Answer:

C

Step-by-step explanation:

I haven't done this math in years but from what I remember this should be the correct answer.

B. is the correct option to choose.

An inequality is comparing of non-equal terms or expressions.

According to the given question we have to solve the given inequality and represent it in form of a number line with appropriate symbols.

Given,

-2(3x - 1) < 8.

- 6x + 2 < 8.

- 6x < 8 - 2.

- 6x < 6.

- x < 6/6.

- x < 1.

x > -1.         ( Think of moving the terms to the other side to make x positive )

This will be represented in a number line with open circle staring from -1 to positive infinity.

learn more about inequality here :

https://brainly.com/question/20383699

#SPJ2

Answer:

the missing numbers be 60 and 6 respectively

Step-by-step explanation:

The computation of the missing numbers are shown below:

Let us assume the missing numbers be x

a/

, [tex]\frac{1}{2} \times 30 = \frac{1}{4} \times x\\\\15 = \frac{1}{4} \times x\\\\x = 60[/tex]

b.

[tex]\frac{1}{3} \times 12 = \frac{2}{3} \times x\\\\4 = \frac{2}{3} \times x\\\\x = 6[/tex]

Hence, the missing numbers be 60 and 6 respectively

11.4

Step-by-step explanation:

Answer:

8.3y + 10

Step-by-step explanation:

Answer I don't know the answer but i can help you find it out, so basically your going to times 3.14 by the numbers in the circle

Step-by-step explanation:

Step-by-step explanation:

In order to find each one, you use the formula A=pi R², meaning you put the radius to the power of two(multiply it by itself) and then multiply that by pi. ex: 7.4×7.4= 54.76,

next 54.76×3.14=171.9, which is your answer. If it gives you the diameter of the circle, divide that by two to get the radius, and follow the steps from before. Ex: 2.24÷2=1.12, next 1.12×1.12=1.2544, next 1.2544×3.14=3.9, the answer.

answer)

Answer:

x = ± 4i

Step-by-step explanation:

x^2 + 19 = 3

Subtract 19 from each side

x^2 +19-19 = 3-19

x^2 = -16

Take the square root of each side

sqrt(x^2) = sqrt(-16)

x = sqrt(-1*16)

x =sqrt(-1) * sqrt(16)

We know that the square root of -1 is the imaginary number i

x = ± 4i

Answer:

i.e. mass of 1 mole of glucose, C6H12O6 = (6 × 12.01 + 12 × 1.01 + 6 × 16.00) g = 180.18 g (using atomic weight data to 2 decimals) 1 mole of carbon atoms weighs 12.01 g and there are 6 moles of C atoms in 1 mole of glucose, so the mass of carbon in 1 mole of glucose = 6 × 12.01 g = 72.06 g.

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

Answer:

70 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

18+12+9

Answer:

756 cm^2

Step-by-step explanation:

9 x 12 = 108 triangles

9 x 18 = 162 back side

9^2 + 12^2 = c^2

9^2 + 12^2 = 225

9^2 + 12^2 = 15^2

length of the hypotenuse is 15 so

15 x 18 = 270 slanted top

18 x 12 = 216 bottom

216 + 270 + 162 + 108 = 756 cm^2

Answer:

29/36pi radians

240 degrees

Step-by-step explanation:

pi  = 180

145/180pi = 29/36pi radians

4/3*180 = 240 degrees

Answer:

See solutions below

Explanation

We are to find the equation of circle A and B

The equation of a circle is expressed as;

(x-a)^2 + (y-b)^2 = r^2

(a, b) is the centre and r is the radius

For Circle A that has center of (6, 7), and a radius of 4

Substitute;

(x-6)^2 + (y-7)^2 = 4^2

(x-6)^2+(y-7)^2 = 16

Hence the equation of circle A is (x-6)^2+(y-7)^2 = 16

For circle B:

If circle B has a center of (2, 4), and a radius of 16

The equation is expressed as;

(x-2)^2+(x-4)^2 = 16^2

(x-2)^2+(x-4)^2 = 256

Hence the required equation is (x-2)^2+(x-4)^2 = 256

Answer:

Its is 1,3,4

Step-by-step explanation:

Mark me brainliest please <3

Answer:

2 inches per hour

Step-by-step explanation:

2 1/2 hours is equivalent to 150 minutes.

Set up a proportion; let x equal inches of rain

[tex]\frac{5}{150}[/tex]=[tex]\frac{x}{60}[/tex]

Cross multiply -> 150x=300

Divide both sides by 150 to get -> x=2

Answer:

a) 10%

b) 80%

c) 20%

Step-by-step explanation:

I hope that is useful for you :)

Answer:

The answer is 3.

Step-by-step planation:

All you have to do is find the 2 points and it looks like this:

(-2,-3) , (0,3)

3- -3 /0- -2   = 6/2 = 3

Answer:

D.  sin 18°

Step-by-step explanation:

sin 18 because 18 + 72 = 90

Answer:

the answer is this had shades is the 72.

Answer:

See answers below

Step-by-step explanation:

Equation of a line in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line

Given the line y = x

The slope of the line is 1.

The slope of the line perpendicular is M = -1

Given the point (2,2)

x0 = 2 and y 0 = 2

Substitute

Recall y-y0 = m(x-x0)

y - 2 = -1(x-2) (Point slope form)

Express in slope intercept form;

y - 2 = -1(x-2)

Make y the subject of the formula;

y -2 = -x + 2

y = -x + 2 + 2

y = -x + 4 (slope intercept form)

The general form of linear equation is expressed as the slope intercept form which is y = -x+4

let y = f(x)

f(x) = -x+4

f(x) = 4-x (Linear equation)

Answer:

432 inches.

Step-by-step explanation:

The formula for finding the area of a triangle is;

[tex]\frac{b*h}{2}[/tex]

Using this, we can find the area of each individual piece.

[tex]\frac{6*6}{2} =18[/tex]

Now that we have this, we simply multiply 18 by 24, which gives us 432.