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3 years ago

5

A display of pens has 8 hooks. Each hook can hold 3 packages of pens and there are 3 pens in each package. If the display is com

pletely full how many pens does it hold

2 answers:

yanalaym [24]3 years ago

4 0

Answer:

Step-by-step explanation: 8 hooks 3 packages 3 pens in package so 3x8 = 24, and then 24x3 so 72 in all

Pavel [41]3 years ago

3 0

(8×3)×3=78
it will hold 78 pens.

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Find the midpoint M of the line segment joining the points A = (-5, 7) and B = (-1, -5).

11111nata11111 [884]

Answer:

M = (-3,1)

Step-by-step explanation:

We need to find the midpoint M of the line segment joining the points

A = (-5,7) and B = (-1, -5)

The mid point of the line segment joining the points (x₁,y₁) and (x₂,y₂) is given by :

$M=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\\\\M=(\dfrac{-5+(-1)}{2},\dfrac{7+(-5)}{2})\\\\M=(-3,1)$

Hence, the required point is (-3,1).

6 0

3 years ago

Given a rectangle with an area of 20 square units, if the width is x units and the length is x + 1 units, what is the difference

ollegr [7]

Answer: 1unit.

Step-by-step explanation:

Area of the rectangle

A = length × width

Since the area = 20 and the width is x and the length is x + 1.

We now substitute for the values in the above formula and solve for x

20 = x × x + 1

20 = x( x + 1 ), we now open

20 = x² + x , then re arrange.

x² + x - 20 = 0, this is a quadratic equation.we solve for x using quadratic means

Here, I am going to solve using factorization by grouping

x² + x - 20 = 0

x² + 5x - 4x - 20 = 0

x( x + 5 ) - 4( x + 5 ) = 0

( x + 5 )( x - 4 ). = 0

Therefore, the solution for x will be

x = -5 or 4, but x can not be -5 ( negative), so x = 4.

Now the difference between width and the length can easily be calculated from the above,

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Now difference will be

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5 0

4 years ago

A star is a swirling mass of dense gases powered by thermonuclear reactions. The great solar furnace transforms 7 million tons o

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Answer:

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Step-by-step explanation:

The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.

365 days refer to the total number of days per year
86,400 seconds refer to the number of seconds per day

Let's solve.

365 x 86,400 = 31,536,000 or 3.1536 x $10^{7}$

<em>Therefore, one year has 3.1536 x </em> $10^{7}$ <em> seconds.</em>

Next, you have to know the number of seconds in 10 billion years.

(3.1536 x $10^{7}$ ) x (1.0 x $10^{10}$ ) = 3.1536 x $10^{17}$

The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.

(3.1536 x $10^{17}$ ) x 7,000,000 = 2.20752 x $10^{24}$

6 0

3 years ago

Someone please help me in this please.

yan [13]

Answer:

for the number 13

Step-by-step explanation:

$x = \sqrt{9 { }^ {2} + 6 { }^{2} }$

by Pythagoras theorem

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3 years ago

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Nastasia [14]

it equals 12 i believe

8 0

3 years ago

Read 2 more answers