Henrik grew 3 times as many potatoes as Derek grew. Derek managed to grow 49 potatoes. Henrik already had 173 potatoes harvested from his other field. How many potatoes does Henrik have in all?

Answer:

the answer is option A.

Answer:

$21600

Step-by-step explanation:

Net income is calculated by deducting all company expenses from its total revenue. Net income is given by the formula:

Net income = Revenue - cost of goods sold - operating expenses - tax.

But Gross margin = gross profit = Revenue - cost of goods sold. Hence:

Net income = Gross margin - operating expenses - tax.

Substituting gives:

Net income = $50000 - $23000 - $5400

Net income = $21600

Answer:

A(3,-8)= x1y1

B(7,6)= x2y2

here,

midpoint = (x1+x2/2,y1+y2/2)

= (3+7/2) (-8+6/2)

= (10/2,-2/2)

= (5,-1)

Step-by-step explanation:

by using midpoint formula

Answer: 15(3+4)

Step-by-step explanation:

First, we want to find the GCF of these numbers

The greatest number they can both be divided by is 15

All of the possible factors are 1, 3, 5, 9, 15, and 15 is the highest

So 15 is the GCF

We then divide these numbers to get the equation

45/15=3

60/15=4

So the new equation would be (3+4)

We then add the GCF outside the parenthesis so you can distribute it in order to get the original numbers

So the distributive equation would be 15(3+4)

Answer 15(3+4)

Solve for

y

in the first equation.

Tap for more steps...

y

=

−

20

+

4

x

−

2

x

−

2

y

=

10

Replace all occurrences of

y

in

−

2

x

−

2

y

=

10

with

−

20

+

4

x

.

y

=

−

20

+

4

x

−

2

x

−

2

(

−

20

+

4

x

)

=

10

Simplify

−

2

x

−

2

(

−

20

+

4

x

)

.

Tap for more steps...

y

=

−

20

+

4

x

−

10

x

+

40

=

10

Solve for

x

in the second equation.

Tap for more steps...

y

=

−

20

+

4

x

x

=

3

Replace all occurrences of

x

in

y

=

−

20

+

4

x

with

3

.

y

=

−

20

+

4

(

3

)

x

=

3

Simplify

−

20

+

4

(

3

)

.

Tap for more steps...

y

=

−

8

x

=

3

The solution to the system of equations can be represented as a point.

(

3

,

−

8

)

The result can be shown in multiple forms.

Point Form:

(

3

,

−

8

)

Equation Form:

x

=

3

,

y

=

−

8

The solution of the given system of linear equations using substitution method is [tex]x = -1, y = 18[/tex].

The substitution method can be defined as a way to solve a linear system algebraically. The substitution method works by substituting one y-value with the other. To solve it easily, the method involves finding the value of the x-variable in terms of the y-variable. After that, we then end up substituting the value of x-variable in the second equation. This helps us to directly find the value of the y-variable. We can now put the value of y in any of the given equations to find x.

The given system of equations are:

[tex]y + 8x = 10[/tex]..... (1)

[tex]2y - 4x = 40[/tex]..... (2)

The given value of [tex]x = - 1[/tex]. Therefore, the given value of 'x' satisfies for both the equations given.

Now using substitution method, substituting the value of 'x' in the equation(1), we will get the value of 'y'.

Therefore:

[tex]y + 8(-1) = 10[/tex]

⇒ [tex]y = 10 + 8[/tex]

⇒ [tex]y = 18[/tex]

Again, we can verify the value of 'y' by substituting the value of 'x' in equation (2).

Therefore,

[tex]2y - 4(-1) = 40[/tex]

⇒ [tex]2y = 40 - 4[/tex]

⇒ [tex]y = \frac{36}{2}[/tex]

⇒ [tex]y = 18[/tex]

Hence,

The solution of the given system of linear equations using substitution method is [tex]x = -1, y = 18[/tex].

To learn more about substitution method here: https://brainly.com/question/14619835

#SPJ2

Answer:

D.

Step-by-step explanation:

The dot in the answer means multiply.

Answer:

Either [tex]\displaystyle \frac{-1522}{\sqrt{41}}[/tex] (approximately [tex]-238[/tex]) or [tex]\displaystyle \frac{1522}{\sqrt{41}}[/tex] (approximately [tex]238[/tex].)

Step-by-step explanation:

Let [tex]a[/tex] denote the first term of this geometric series, and let [tex]r[/tex] denote the common ratio of this geometric series.

The first five terms of this series would be:

First equation:

[tex]a\, r^4 - a = 150[/tex].

Second equation:

[tex]a\, r^3 - a\, r = 48[/tex].

Rewrite and simplify the first equation.

[tex]\begin{aligned}& a\, r^4 - a \\ &= a\, \left(r^4 - 1\right)\\ &= a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) \end{aligned}[/tex].

Therefore, the first equation becomes:

[tex]a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) = 150[/tex]..

Similarly, rewrite and simplify the second equation:

[tex]\begin{aligned}&a\, r^3 - a\, r\\ &= a\, \left( r^3 - r\right) \\ &= a\, r\, \left(r^2 - 1\right) \end{aligned}[/tex].

Therefore, the second equation becomes:

[tex]a\, r\, \left(r^2 - 1\right) = 48[/tex].

Take the quotient between these two equations:

[tex]\begin{aligned}\frac{a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right)}{a\cdot r\, \left(r^2 - 1\right)} = \frac{150}{48}\end{aligned}[/tex].

Simplify and solve for [tex]r[/tex]:

[tex]\displaystyle \frac{r^2+ 1}{r} = \frac{25}{8}[/tex].

[tex]8\, r^2 - 25\, r + 8 = 0[/tex].

Either [tex]\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}[/tex] or [tex]\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}[/tex].

Assume that [tex]\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}[/tex]. Substitute back to either of the two original equations to show that [tex]\displaystyle a = -\frac{497\, \sqrt{41}}{41} - 75[/tex].

Calculate the sum of the first five terms:

[tex]\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= -\frac{1522\sqrt{41}}{41} \approx -238\end{aligned}[/tex].

Similarly, assume that [tex]\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}[/tex]. Substitute back to either of the two original equations to show that [tex]\displaystyle a = \frac{497\, \sqrt{41}}{41} - 75[/tex].

Calculate the sum of the first five terms:

[tex]\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= \frac{1522\sqrt{41}}{41} \approx 238\end{aligned}[/tex].

Answer:

(1,3) (2,6) (3,9) (4,12)

Step-by-step explanation:

Meanwhile the x value increases by 1, the y value increases by 3.

Answer:

Part A: 24

Part B: 256

Step-by-step explanation:

Part A

Without Repetition means that once you use a number out of the given four, it can't be used again.

Answer: 4*3*2* 1 = 24

Part B

Part B allows repetition. That means that the numbers can be used as many as 4 times.

Answer: 4*4*4*4 = 256

Answer:

(a) Describe a property of squares that is also a property of rectangles.

(b) Describe a property of squares that is NOT necessarily a property of all rectangles.

(c) Describe a property of rhombi that is also a property of squares.

(d) Describe a property of rhombi that is NOT necessarily a property of all parallelograms.

(e) Describe a property that applies to ALL parallelograms.

Answer:

x = 27

Step-by-step explanation:

[tex]x - 21 = 6[/tex]

Add 21 to both sides.

[tex]x = 6 + 21[/tex]

[tex]x = 27[/tex]

Answer:

the answer is:

(12) + (18) = 30

Answer:

Step-by-step explanation:

There are several ambiguities in your question upon which I feel disinclined to speculate. It cries out for an explanatory diagram:

For example (i.e. including but not only!):  

1. What is the essential distinction between a plane and a regular pyramid?

2. Does each of the two solids have all of its own edges equal, independently of the other solid? Or are the corresponding edges of the two solids equal? Or are all edges of both solids equal?

Answer:

chetta es polla airemeris di quana premeria

Step-by-step explanation:

Answer:

Month 1:

Calculate Balance (by adding interest to existing balance): 678.34*(1 + 0.217/12) = 690.606648333333 = 690.61

Make payment: 690.61 - 235 = 455.61

Old Balance: 690.61

New Balance: 455.61

--------------------------------------------------------------

Month 2:

Calculate Balance (by adding interest to existing balance): 455.61*(1 + 0.217/12) = 463.8489475 = 463.85

Make payment: 463.85 - 235 = 228.85

Old Balance: 463.85

New Balance: 228.85

--------------------------------------------------------------

Month 3:

Calculate Balance (by adding interest to existing balance): 228.85*(1 + 0.217/12) = 232.988370833333 = 232.99

Make payment: 232.99 - 232.99 = 0

Old Balance: 232.99

New Balance: 0

--------------------------------------------------------------

Payments Made: 235, 235, 232.99

Number of Payments Made: 3

Total Cost: 235 + 235 + 232.99 = 702.99

Total Cost: $702.99

Total Interest: 702.99 - 678.34 = 24.65

Answer:

A. -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-9p - 17 = 10

Step 2: Solve for p

Answer:

D. 113

Step-by-step explanation:

They are the same angles

Answer:

Step-by-step explanation:

From the question we are told that

Altitude of Height 1.4miles

4miles west

a) From the question

[tex]f(x)=ax3+bx2+cx+d[/tex] on interval (-4,0)

The descent can be expressed in [tex]\triangle _x =-4,0[/tex]

therefore  initial points is (-4 , 1.4).

final co-ordinate is given by (0,0) as its landing

Mathematically solving in above  cubic equation

 [tex]0 = 0 + 0 + 0 + d \\[/tex]

[tex]d = 0[/tex]

[tex]1.4 = -64a + 16b -4c + d[/tex]

[tex]1 = -45.7a + 11.4b-2.9c+d[/tex]

Generally in this case Slope of tangent at point of descent is zero.assuming flight was initially straight before descent

     [tex]f'(x) = 3ax^2 + 2bx+c[/tex]

    [tex]f'(-4) = 48a -8b + c = 0[/tex]

    [tex]f'(0) = c = 0[/tex]

Mathematically solving above equations we have

[tex]a = \frac{1}{40} \ and \ b = \frac{3}{20}[/tex]

Therefore having found a and b the Cubic equation is given as

[tex]f(x) = \frac{1}{40}x^3 + \frac{3}{20}x^2[/tex]

b)descent at its greatest rate

[tex]f(x)=\frac{1.4}{40} x^3 + \frac{129}{20} x^2[/tex]

[tex]f(x)=\frac{1.4}{40} x^3 + \frac{129}{20} x^2[/tex]

Answer:

In multiplication the answer is called PRODUCT and in division the answer is called quotient.

Step-by-step explanation:

I hope that helps and you get a good grade :)

The answer to a multiplication problem is called a Product.                                                    The answer to a division problem is called the quotient.

Answer:

Therefore the smallest parameters is  (6,6) and a dimension of 24 inches

Step-by-step explanation:

From the question we are told that

area of dimension is  [tex]A=36[/tex]

Generally the perimeter of  rectangle is given as

      [tex]x,y=36[/tex]

Given by

      [tex](x,y)=2x+2y[/tex]

Mathematical solving for perimeter of rectangle

    [tex]x=\frac{36}{y}[/tex]

    [tex]f(y)= 2\frac{36}{2} +2y\\f(y)= \frac{72}{y} +2y[/tex]

Generally in finding minimum perimeter

     [tex]f'(y)=\frac{-72}{y^2} +2=0\\[/tex]

     [tex]y=6[/tex]

[tex]f(6,6)=2(6)+2(6) \\f(6,6)=24 inches[/tex]

Therefore the smallest parameters is  (6,6) and a dimension of 24 inches

Answer:

[tex] \dfrac{1}{5^8} = \dfrac{1}{390625} [/tex]

Step-by-step explanation:

[tex](5^{-2})^4 = 5^{-2 \times 4} = 5^{-8} = \dfrac{1}{5^8} = \dfrac{1}{390625}[/tex]

Pretend this is the answer in da comments

Answer:

Books due to this week=1260

Step-by-step explanation:

F-books checked out=12500*(2/5)=5000

nonF-books checked out=19000*(2/5)=7600

Total checked books=5000+7600=12600

Books due to this week = (1/10)*12600=1260

Answer:

A

Step-by-step explanation:

Answer:

[tex]No\ Solutions[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\-x+2y=7\\x-2y=7\\By\ simply\ adding\ the\ system\ of\ equations,\\(-x+x)+(2y-2y)=(7+7)\\0+0=14\\Hence,\\0=14\\As\ the\ equation\ above\ doesnt\ make\ sense\ as\ 0\ doesn't\ equal\ to\ 14,\\There\ are\ no\ solutions\ that\ satisfy\ the\ equation.[/tex]

Answer:

-10

Step-by-step explanation:

4x+py=5

Is also 2x+(p/2)y=5/2

And the other is 2x-5y+6=0

As the lines are parallel

2/2=(p/2)/(-5)

p= -10