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2 years ago

Of the bundles delivered daily to the store, 1/3

Mathematics

1 answer:

Triss [41]2 years ago

3 0

Answer:

x=9

Step-by-step explanation:

Let total bundle=x

Morning edition of the daily sun=1/3x

=x/3

Afternoon edition of the daily sun=2

That leaves 2x/3 - 2, of which

x/3 - 1 are regional

1 is local

1 from another state

Sum everything

x = x/3 + 2 + x/3 - 1 + 1 + 1

x=2x/3 +3

x-2x/3=3

3x-2x/3=3

x/3=3

Cross product

x=3×3

x = 9

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Angela is getting a pedicure at a spa that also offers massages where customers pay by the minute. If Angela only gets a pedicur

saveliy_v [14]

This is an expression if she only gets pedicure
y = 35

If she wants to get massage, multiply the cost for a minute with the number of minutes.
Find cost per minute first
cost = 50/20
cost = 2.5

So the expression would be
y = 35 + 2.5x
y = 2.5x + 35

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2 years ago

Suppose there are 500 units of energy available at the base of a pyramid of energy. How many units of that energy will the first

Ede4ka [16]

Answer:

With every other lever 10% of the energy with be transferred. In this case: Primary Producers (500) 1) First- level consumer. (50) 2) Second-level consumer. (5) 3) Third- level consumer. (0.5) Remember the formula is:(Primary Producer) __units X 10%= __500 units X 10%= 50

50 units of energy will be the first level consumers stored.

5 units of energy will be the second level consumers stored.

Step-by-step explanation:

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2 years ago

Drainage tubing comes in large rolls. At your hardware store, you cut tubing to the lengths the customers want. You also provide

MrRa [10]

Answer: $\frac{1}{36}\pi L$

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

$V=\pi r^2h$

Where "r" is the radius and "h" is the height.

Make the conversion from inches to feet. Since $1\ ft=12\ in$ ,you get:

$(2\ in)(\frac{1\ ft}{12\ in})=\frac{1}{6}\ ft$

So in this case you can identify that:

$r=\frac{1}{6}\\\\h=L$

Then, substituting them into the formula and simplifying you get:

$V=\pi(\frac{1}{6})^2L\\\\V=\frac{1}{36}\pi L$

Therefore, the expression for the volume of L feet of drainage tubing, in cubic feet is:

$\frac{1}{36}\pi L$

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2 years ago

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The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

pogonyaev

Answer: The quadrilateral HIJK is a parallelogram.

Explanation:

It is given that the coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

The parallelogram diagonal theorem states that the quadrilateral is a parallelogram if both diagonal bisects each other.

If HIJK is a quadrilateral, then HJ and IK are the diagonals of HIJK.

First we find the midpoint of HJ.

$\text{Midpoint of HJ}=(\frac{0+4}{2}, \frac{5-1}{2})$

$\text{Midpoint of HJ}=(2,2)$

Now, find the midpoint of IK.

$\text{Midpoint of IK}=(\frac{3+1}{2}, \frac{3+1}{2})$

$\text{Midpoint of IK}=(2,2)$

The midpoint of both diagonal are same. It means the diagonals of HIJK bisects each other.

By parallelogram diagonal theorem, we can say that the quadrilateral HIJK is a parallelogram.

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2 years ago

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x^2+1/2x+1/16=4/9 Factor the perfect-square trinomial on the left side of the equation. (x + )² = 4/9

Nezavi [6.7K]

The missing number is the square-root of the constant term on the left-hand-side, which equals sqrt(1/16)=1/sqrt(16)=1/4.
Check:
(x+1/4)^2=x^2+2*(1/4)x+(1/4)^2=x^2+x/2+1/16. ok

Answer: x= 1/4

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2 years ago

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