Farmer Janet can plant 9 feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour. what is each persons unit rate of feet of carrots per hour

Answer: 62.5

Step-by-step explanation:

if you multiply 1.25 x 50 = 62.5

(in the problem you may have been given a chart if not look below for the problem also i’m sorry if it doesn’t make sense lol)

[6 above 1 under 50] - [1.75 under 1.25]

[using 1.25 x 50 you get your answer 62.5)

Step-by-step explanation:

Given the line y-1 = 1(x+2), in order to know the line that is perpendicular to the given line, we will first find the slope of the known line.

The standard form of equation of a line is expressed as y = mx+c

m is the slope

c is the intercept

Rewrite the equation given

y-1 = 1(x+2)

y-1 = x+2

y = x+2+1

y = x+3

Comparing to the standard form, the slope m = 1.

For two lines to be perpendicular, the product of their slope must be -1 i.e mM = -1

Substitute

1(M) = -1

M = -1

For us to know the line that is perpendicular to the given line, its slope must be -1.

Since none of the equation has a slope of -1, hence none of the lines are perpendicular to the line y - 1= 1(x+2).

Answer:

Exact Form:

1 /216

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

x+7+7=4x+2 simplify

Answer:

2x - 10=65-x

2x+x=65+10

3x=75

x=75/3

x=25 (1.)

2x - 10

2*25-10

50-10

40 (2.)

Answer:

The answer will be listed below!

Step-by-step explanation:

To graph the equation y=3/2x+2, you must know what 3/2x is and what 2 is. 2 would be your y-intercept as the 3/2x would be your slope. As you can see, look for 2 on the y axis and place a dot there. Now, take your slope and use rise/run which means up three and to the right 2. After you finish, draw a line through it and you have graphed it!

The graph of the given equation is a straight line [attached in solution]

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given is an equation, y = 3x/2+2

We need to plot its graph,

Finding the coordinates,

y = 3x/2+2

Put x = 0

y = 2

(2, 0)

Put x = -4

y = -3(4)/2+2

y = -6+2

y = -4

(-4, -4)

Plot the coordinates on a graph, and then join them, the obtained line will the graph of the given equation.

Hence, the graph of the given equation is a straight line.

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The linear equation plotted in the graph is y=4x-1

The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line

Given here: The graph of a line that passes through the point (0,-1)

We know the slope intercept form of a line is given by

y=mx+c

Thus if the line passes through this point then

-1=m×0+c

c=-1

Again we can clearly observe that one of the points that lie on the line is (-1,3)

3=-m-1

m=4

∴ The required equation is y=4x-1

Hence, The linear equation plotted in the graph is y=4x-1

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Answer:

430,000

Step-by-step explanation:

Answer: 430,000

Step-by-step explanation: hope this helps

Answer:

Step-by-step explanation:

Hope it helped you

Answer:

1. [A] More than 205

2. [B] less than 10

3. [B] less than 0.2

Step-by-step explanation:

1. The value of 25 · (8.5) is:

a. More than 205

b. Less than 205

Solve:

25 · (8.5) = 212.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2. The value of (9.93) · (0.984) is:

a. More than 10

b. Less than 10

(9.93) · (0.984) = 9.77112

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3. The value of (0.24) · (0.67) is:

a. More than 0.2

b. Less than 0.2

(0.24) · (0.67) = 0.1608

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~lenvy~

Answer: IDKDIKDIDKIKDI

Step-by-step explanation:

Answer:

15.7% decrease

Step-by-step explanation:

Answer:

28/5

Step-by-step explanation:

[tex]f(x) = 5x - 3 = 25 [/tex]

[tex]5x = 25 + 3[/tex]

[tex]5x = 28[/tex]

[tex]x = \frac{28}{5} [/tex]

I think this is the answer

h(x) = -x-1

Then just substitute x =6

Then,

h(6) = (- 6-1)

Answer:

A

Step-by-step explanation:

Answer:

Each steak is 72/6 = 12 oz

Step-by-step explanation:

Unit rate = total ounces /  total steaks:

72 ounces / 6 steaks = 12 ounces per steak

Unit rate = 12 ounces per steak.

Answer:

is -6x to the 33'd power tims 3 - 1.       3−2x33(3)−1

Step-by-step explanation:

Answer:

I dont really understand what you mean

x is 25 tho and each section is 60 degrees

Answer:

x = 3

Step-by-step explanation:

 (3 • (5x - 15)) -  15 • (x - 3)  = 0  

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  5x - 15  =   5 • (x - 3)  

Equation at the end of step

3

:

 15 • (x - 3) -  15 • (x - 3)  = 0  

STEP

4

:

Pulling out like terms

4.1      Pull out     15  

Pulling out like terms :

4.2      Pull out     x-3  

After pulling out, we are left with :

     15 • x-3 • ( 1  *  1 +( (-1)  *  (-1) ))

Equation at the end of step

4

:

 30 • (x - 3)  = 0  

STEP

5

:

Equations which are never true

5.1      Solve :    30   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2      Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3

One solution was found :

x = 3

The required value of a for which the solution of the inequality is all real numbers is a > 4.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

a(x + 3) < 5x + 15 - x

or, a(x + 3) < 4x + 15

Now let us solve for x first,

⇒ ax + 3a  < 4x + 15

Subtract 3a from both sides we get,

ax < 4x + 15 - 3a

Subtract 4x from both sides we get,

ax - 4x < 15 - 3a

or, (a - 4)x < 15 - 3a

Dividing both the side by (a - 4) we get,

x < (15 - 3a) / (a - 4)

Now for solutions to be real numbers,

a - 4 > 0

subtracting 4 both the side we get,

⇒ a > 4

this is the required value of a for which the solution of the inequality is all real numbers

Thus, the required value of a for which the solution of the inequality is all real numbers is a > 4.

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Answer:

3/4 divided by 1/3 would equal 2 1/4 or 2.25.

1).  Add 27 to each side of the equation.

2). Add 72 to each side of the equation.

3). Divide each side of the equation by 12.

Step-by-step explanation:

For 32:

The factors are as shown:

32 = 2*2*2*2*2

32 = 2²*2³

32 = 2²⁺³

32 = 2⁵ (Base of 2 and power of 5)

For 81:

factors

81 = 3*3*3*3

81 = 3²*3²

81 = 3²⁺²

81 = 3⁴ (Base of 3 and power of 4)

For 100:

factors

100 = 10*10

100 = 10² (Base of 10 and power of 2)

Answer:

i thank it is 25 seconds.  

Step-by-step explanation:

Answer:

f = (100 - 2h) / 5

Step-by-step explanation:

Given:

5f + 2h = 100

Solve the equation for f.

5f + 2h = 100

Subtract 2h from both sides

5f + 2h - 2h = 100 - 2h

5f = 100 - 2h

Divide both sides by 5

5f / 5 = (100 - 2h) / 5

f = (100 - 2h) / 5

If f = 1 full box

h = 1/2 box

h = 1/2 of f

h = 1/2f

Substitute h = 1/2f into

f = (100 - 2h) / 5

f = {100 - 2(1/2f)} / 5

f = (100 - 2/2f) / 5

5f = 100 - f

5f + f = 100

6f = 100

f = 100 / 6

= 16.67

f = 16.67

The required value of f is 16.67.

Given that ;

Kiran sells full box of fruit cost for each box = f = $5

And Kiran sells half box of fruit cost for each = h = $2

According to the question ;

For full box cost  + for half box cost = Total cost of his band trip

5f + 2h = 100

Solve the equation following equation for f .

5f + 2h = 100

Subtract 2h from both sides

5f + 2h - 2h = 100 - 2h

5f = 100 - 2h

Divide both sides by 5

[tex]\frac{5f}{5} = \frac{100}{5} - \frac{2h}{5}[/tex]

f = 20-2h

For full box f = 1 full box

For half box h = 1 half box

It means h = [tex]\frac{1}{2}[/tex] of f

h = [tex]\frac{1}{2}f[/tex]

Substitute the value of h  

[tex]f = \frac{(100-2h)}{5} \\f = \frac{100-2(\frac{1}{2f} )}{5}[/tex]  

[tex]f = \frac{100-f}{5}[/tex]

5f = 100 - f

5f + f = 100

6f = 100

[tex]f = \frac{100}{6}[/tex]

f = 16.67

The required value of f is 16.67.

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Step-by-step explanation:

The area of little Tommy's backyard rectangular sandbox can be represented by the given trinomial.

A = (x²-6x+8) ft²

We know that the area of a rectangle is given by :

A = L × B

[tex]LB=(x^2-6x+8) \\\\=x^2-(-4x-2x)+8\\\\=x^2+4x+2x+8\\\\=x(x+4)+2(x+4)\\\\=(x+2)(x+4)[/tex]

The length of the rectangle can be either (x+2) or (x+4).

Answer:

16.5 you have to add the divde

Answer:

Step-by-step explanation:

Given function is,

f(x) = 5x - 3

Where f(x) represents the output values and 'x' is the variable representing the input values.

For x = -2,

f(-2) = 5(-2) - 3

     = -13

For x = -1,

f(-1) = 5(-1) - 3

     = -8

For x = 0,

f(0) = 5(0) - 3

     = -3

For x = 1,

f(1) = 5(1) - 3

    = 2

For x = 2,

f(2) = 5(2) - 3

     = 7

For x = 3,

f(3) = 5(3) - 3

     = 12

Table for the input-output values will be,

x          -2           -1           0           1             2          3

f(x)      -13          -8         -3           2            7          12

Since the values of f(x) has a common difference of [-13 - (-8) = -5] negative five, given function will be a linear function.

Answer:

x=8

Step-by-step explanation:

8 times 8 equals 64

Answer:

what does the m stand for

Step-by-step explanation: