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2 years ago

Tera buys 10 pencils for $1.99. About how much $ does each pencil cost?

Mathematics

2 answers:

True [87]2 years ago

8 0

Answer:

19 cents or 0.199

Step-by-step explanation:

Hope it helped!

Ivenika [448]2 years ago

8 0

Answer:

19 cents

Step-by-step explanation:

divide total cost by amount of items

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The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length.

emmasim [6.3K]

Step-by-step explanation:

1) The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length....

= Solution ,

Length ( L ) = ?

breadth ( b ) = 10xy cm

area ( a ) = ( 30x² + 20xy )

Now ,

area ( a ) = l × b

or, ( 30x²y + 20xy ) = L × 10xy cm

$or,\frac{30 {xy + 20xy}^{2} }{10xy} = l \\$

$or, \: l = 3 {x}^{2 - 1} + 2cm$

$\boxed{\sf{l = (3x+2)cm}}$

2) Subtract the quotient when 20x⁴y² is divided by 5x³y from the product of 2x and 3y.

= Solution,

$= \frac{20 {x}^{4} {y}^{2} }{5 {x}^{3} y} \\$

$= 4xy$

The product of 3x and 4y = 6xy

= 6x - 4xy

$= \boxed{\sf {2xy}}$

hope it helped !!!!

7 0

1 year ago

For a birthday party you need to cut two submarine sandwiches into smaller pieces of equal length for your friends.one sandwich

vovangra [49]

Answer:

4 inches

Step-by-step explanation:

Let us assume that there are few numbers of friends.

Therefore, 28 inches of one sandwich has to be divided into equal few pieces and another 36 inches of the sandwich has to be divided into equal few pieces.

We have to calculate the greatest possible length of the pieces.

Therefore, the greatest length of each piece will be a common factor of 28 and 36.

Now, we have 28 =2×2×7 and 36 =2×2×3×3. Hence, the greatest possible factor is 2×2 = 4.

Therefore, greatest possible length of each piece of the sandwich is 4 inches. (Answer)

5 0

2 years ago

Solve square root of x + square root of x+2 = 2

andrew-mc [135]

The value of x is $\frac{1}{4}$

Step-by-step explanation:

Given:

$\sqrt{x} + \sqrt{x + 2} = 2$

Rearranging the radical on left side,

$\sqrt{x + 2} = 2 - \sqrt{x}$

Power on both sides,

$(\sqrt{x + 2})^{2} = (2 - \sqrt{x})^{2}$

Simplifying the left,

$x + 2 = (2 - \sqrt{x} )^{2}$

For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),

$= > x + 2 = {2}^{2} - (2 \times 2 \sqrt{x}) + ( \sqrt{x})^{2}$

Now calculating its powers,

$= > x + 2 = 4 - 4\sqrt{x} + x$

Now sending -4√x to the LHS (left side), its sign becomes plus (+),

$= > 4 \sqrt{x} = 4 + x - x - 2$

Now the +x and -x will be cancelled,

$= > 4 \sqrt{x} = 4 - 2$

$= > 4 \sqrt{x} = 2$

Bringing 4 to the right side, it becomes the denominator,

$= > \sqrt{x} = \frac{2}{4}$

$= > \sqrt{x} = \frac{1}{4}$

Now powering both sides,

$= > ( \sqrt{x})^{2} = ( \frac{1}{2})^{2}$

$= > x = \frac{1}{4}$

4 0

2 years ago

What is 5 units away from (-1, -2)

podryga [215]

Answer:

Step-by-step explanation:

There's a whole family of points.

(x + 1)^2 + (y + 2)^2= 25

The above is an equation that represents a circle.

Three points are marked below 2 of which are easily seen to be 5 units away from the center (-1,-2)

3 0

3 years ago

Which of the following is NOT a solution to the inequality graphed below?

malfutka [58]

B is not a solution to the graph

3 0

3 years ago

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