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3 years ago

at the beginning of April a colony of ants has a population of 5000 the colony decreases by 1/5 during April

Mathematics

1 answer:

bagirrra123 [75]3 years ago

5 0

Answer:

4000 ants are left

1000 are lost

Step-by-step explanation:

1/5 of 5000 is 1000

5000 - 1000 = 4000

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Associative property <br><br> Commutative property <br><br> Distributive property

inysia [295]

Answer:

Distributive Property

Step-by-step explanation:

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2 years ago

If y = 7x − 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

BaLLatris [955]

Answer:

Correct option is C). {(0, −5), (2, 9), (−3, −26)}

Step-by-step explanation:

Given function is f(x)=7x-5.

Here, Options are given ordered pair

Let, x=0

f(x)=7x-5

f(0)=7(0)-5

f(0)=(-5)

The ordered pair is (0,-5)

Let, x=2

f(x)=7x-5

f(2)=7(2)-5

f(2)=9

The ordered pair is (2,9)

Let, x=(-3)

f(x)=7x-5

f(-3)=7(-3)-5

f(-3)=(-26)

The ordered pair is (-3,-26)

Thus, Correct option is C). {(0, −5), (2, 9), (−3, −26)}

8 0

3 years ago

The object on the right is made from a square-based pyramid joined to a cuboid.

spayn [35]

Answer:

Density of steel = 80.73 gm/ $cm^3$

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

$V_{Cuboid} = l \times w \times h$

$V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3$

Density of Wood , $D_{Cuboid}$ = 0.68g/ $cm^3$

We know that formula of Density is:

$Density = \dfrac{Weight}{Volume}$

$D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}$

Putting the values:

$W_{Cuboid} = 324 \times 0.68 = 220.32\ gm$

Total weight = $W_{Cuboid} + W_{Pyramid}$

970 = 220.32 $+ W_{Pyramid}$

$W_{Pyramid}$ = 749.68 gm

Volume of pyramid is given as:

$V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}$

Base is a square with side 6 cm

$V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3$

Density of Steel/Pyramid:

$D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3$

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3 years ago

Jordan Michael runs a basketball camp. A group of randomly selected camp participants were asked to give their shirt size. The t

mihalych1998 [28]

Answer: 77

Step-by-step explanation:

6 0

2 years ago

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Which relationships describe angles 1 and 2?

NikAS [45]

Supplementary angles.

This is because supplementary angles are two angles that add up to 180 degrees, and these two angles would add up to 180 degrees.

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1 year ago