Write an expression for each statement: A truck has a total of a pounds of fruit which were packed in n boxes. How many pounds of fruit are in each box?

1 and -1 are the only rational numbers which are their own reciprocal.[tex] \: [/tex]

The area of the triangle bounded by the lines y=x y=-x and y=6 is 36 units.

The formula for finding area could be represented in the form of determinants as given below.

[tex]A = \frac{1}{2} \left[\begin{array}{ccc}x1&y1&1\\x2&y2&1\\x3&y3&1\end{array}\right][/tex]

First, we need to find the coordinates of the point of intersection of these lines.

y = x

y = -x

Adding the two equations,

2y = 0

y = 0

x = 0

coordinate: (0, 0)

y = x

y = 6

Subtracting the two equations,

0 = x - 6

x = 6

coordinate: (6, 6)

y = -x

y = 6

Subtracting the two equations,

- x - 6 = 0

x = -6

coordinate: (-6, 6)

Calculating area of triangle bounded by the given line:

Area of triangle =

[tex]\frac{1}{2}\left[\begin{array}{ccc}0&0&1\\6&6&1\\-6&6&1\end{array}\right][/tex]  =  [tex]\frac{1}{2} (36 + 36) = \frac{72}{2} = 36[/tex]

Learn more about area of triangle here

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Answer:

e t

Step-by-step explanation:

Answer:

5/64

Step-by-step explanation:

5/8 : 8 = 5/8 * 1/8 = 5/64

Answer:

12 4/5

Step-by-step explanation:

simplified

Answer:

Each jar contains 150 g.

Step-by-step explanation:

Florencia prepared a kilo 3/4 kg of dulce de leche and wants to divide it into equal portions in 5 jars How many kg of Dulce will she put in each jar How many grams are equivalent?

Amount prepared = 3/4 kg

Total number of jars = 5

The amount in each jar is given by

[tex]\frac{3}{4}\times \frac{1}{5}\\\\=\frac{3}{20} kg\\\\= \frac{3}{20}\times1000g = 150 g[/tex]

Answer:

the answer would have to be B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tangent line is:

Perpendicular line to this has a slope of -3 and passes through  point (1, 2).

Its equation is:

Using the second line passing through the center, find the coordinates of the center:

Solve the system by elimination:

Then

The center is (0, 5) and radius is the distance from center to point (1, 2):

The equation of circle:

Answer:

h = 36

Step-by-step explanation:

13 = h - 23 (subtract)

13 + 23 = h (move to the other side)

36 = h (add)

Answer:

B

Step-by-step explanation:

When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function

With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it

Thus;

f(x) = x^2 would be;

g(x) = (x-4)^2

Corresponding to a shift to the right of upto 4 units on the x axis

Answer:

g(x)= (x-4)^2

Step-by-step explanation:

Plato/Edmentum

the answer is in the picture

Answer:

9, 10, 11, 12

Step-by-step explanation:

Let the consecutive numbers be:

x, x+1, x+2, x+3

Greatest of the numbers will be: x + 3

x+x+1+x+2+x+3 = 3(x+3) + 2

4x + 6 = 3(x+4) + 2

4x + 6 = 3x + 12 + 2

4x + 6 = 3x + 14

Collect like terms

4x - 3x = 14 - 6

x = 8

x +1 = 8+ 1 = 9

x + 2 = 8 + 2 = 10

x + 3 = 8 + 3 = 11

x + 4 = 8 + 4 = 12

Answer:

b,b.a

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

First, find x

set your formula up as 3x+5=6x-10, since AB and DC are the same length.

This means x = 5

Now substitute 5 for x in the line DA

4x-5

4 * 5 - 5 = 15

Answer:

20 foot.....................

Answer:

70.686 [tex]m^{2}[/tex]

Step-by-step explanation:

A=2πrh (area of cylinder without top or bottom)

A = 2[tex]\pi[/tex](2.5)(9)

A = 141.372

divide by two for half of pipe.

A = 70.686

Answer:

The answer is D.

Step-by-step explanation:

Answer:

Collect like terms 5 p 2 − p 2

Step-by-step explanation:

#CarryOnLearning

Answer:

Yes by AAA

Step-by-step explanation:

Angle A is the same for both triangles. Angle D is congruent to Angle A since BC and DE are parallel lines and same with angle E. So by AAA the triangles are similar

Answer:

15 x 150 = 2250

2250 + 1000 = 3250

you make $3250,00

Answer:

3

Step-by-step explanation:

Area = 1/4 * √(5(5+2√5)) * a^2

Area ≈387.11

because each bag only covers 150 we need 3 bags

Answer:

area = 387 ft^2

3 bags

Step-by-step explanation:

See the picture below.

The pentagon is made up of 5 congruent triangles. One triangle is shown on the bottom right figure.

The left figure shows half of the triangle. We need to find h, the height of the triangle.

For a regular pentagon, the measure of each interior angle is

(n - 2)180/5 = 108

Half of the angle is 54 deg.

tan A = opp/adj

tan 54 = h/7.5

h = 7.5 * tan 54

h = 10.32 ft

Area of half triangle = bh/2 = 7.5 ft * 10.32 ft/2 = 38.7 ft^2

The pentagon is made up of 5 larger triangles or 10 half triangles.

Area of pentagon = 10 * 38.7 ft^2

Area of pentagon = 387 ft^2

1 bag is good for 150 ft^2.

387 ft^2/150 ft^2 = 2.6

She needs 2.6 bags, so she must buy 3 bags.

Answer: 3 bags

Answer:

There is no way to know to know because we don't have a way to see where 0,7 is on the graph

Answer:

120 miles

Step-by-step explanation:

30 miles per hour * 4 hours

120 miles

Answer:

She travels 120 miles in 4 hours.

Step-by-step explanation:

She travels 120 miles in 4 hours

Answer:

S = 3741

Step-by-step explanation:

Here, we want to calculate the sum of the first 86 numbers (starting from 1)

Mathematically, we can use the formula;

Sn = n/2[ a + L]

Where n is the number of terms (86 here)

a is the first term which is 1 and L is the last term which is 86

So, we have the sum as;

Sn = 86/2(1 + 86) = 43 * 87 = 3741

Answer:

-24

Step-by-step explanation:

First substitute

(6x8)/-2

Then solve

48/-2=-24

-24

Answer:

[tex]-24[/tex]

Step-by-step explanation:

The value of y is given as 8

The value of z is given as -2

The expression given is [tex]\frac{6y}{z}[/tex]

Substitute the value of y as 8 & z as -2 in the brackets:

[tex]=\frac{6(8)}{-2}[/tex]

[tex]=\frac{48}{-2}[/tex]

[tex]=-24[/tex]

hope this helps....

0.6(180) is the same as asking the question - What is 60% of 180?

To find that answer, we can multiply 0.6 by 180. We use the decimal 0.6 because that is the decimal form of 60%.

0.6 x 180 = 108

Another way we can find this answer is to find 1/10 of 180 and multiply this answer by 6 because 60/100 is the same thing as 6/10.

1/10 of 180 = 18

18 x 6 = 108

Hope this helps!

x + y= 9 and x - y= 3

rearrange the second equation:

x - y= 3

x = 3 + y

x -3 = y

substitute y with "x-3" in the first equation and solve

x + y= 9

x + (x-3)= 9

2x -3 = 9

2x = 12

x = 6

you could also start with the first equation and substitute y in the second.

graphically speaking, it's the intersection point of to lines, at least the six-part of the point.