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11Alexandr11 [23.1K]
3 years ago
7

A party store sells large plates in packs of 12 and small plates in packs of eight. In order to have an equal number of both, wh

at is the least amount of large plaate packs that would have to be purchased?
Mathematics
1 answer:
maria [59]3 years ago
3 0

Answer:

The least amount of large plate packs that would have to be purchased is 24.

Step-by-step explanation:

To do this we have to find first multiplication of 8 that is equally divided by 12.

A person can buy large packs of plates in multiple of 12 only.

A person can buy {1,2,3,4,5,6,7,8,...}packs of plates and will purchase

{12,24,36 ,48,60,72,84,96,...}large plates.

A person can buy small packs of plates in multiple of 8 only.

A person can buy {1,2,3,4,5,6,7,8,9,10,11,12...}packs of plates and will purchase..

{8,16,24,32,40,48,56,64,72,80,88,96,...}small plates

Now we have to keep in mind that one has to purchase equal amount of plates..

A person can buy {24,48,72,96} plates and hence least amount of large plate packs that would have to be purchased is 24....

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What is the multiplicative rate of change for the exponential function graphed to the left?
schepotkina [342]

Answer:

The multiplicative rate of change is 3

Step-by-step explanation:

The given graph passes through the points:

(-2,\frac{2}{9}),(-1,\frac{2}{3}),(0,2),(1,6),(2,18),(3,54)

The multiplicative rate of change is the factor that multiplies each y-value to give the subsequent y-values.

We can find that factor by dividing a y-value by the previous y-value of any two consecutive y-value.

The multiplicative rate of change is \frac{6}{2}=3 or \frac{18}{6}=3 or \frac{54}{18}=3  or \frac{2}{\frac{2}{3} } =3.

7 0
4 years ago
1 tank of propane holds 5 gallons and will last 12 hours. how many gallons of propane is needed for 240 hours.
MAVERICK [17]

5 gallons        x gallons

------------- = ----------------

12 hours       240 hours


using cross products

5 * 240 = 12 * x

1200 = 12 x

divide each side by 12

1200/12 = 12x/12

100 =x

You will need 100 gallons

8 0
4 years ago
Read 2 more answers
School A has 480 students and 16 classrooms. School B has 192 students and 12 classrooms.
boyakko [2]

Answer:96

Step-by-step explanation:

A; 480/16 = 30 students per classroom

B: 192/12 =16 students per classroom

we need x such that \frac{480-x}{16} = \frac{192+x}{12}

which means

(480-x )* 12 should be equal to (192+x) * 16

5,760 - 12x = 3,072+16x

5,760 - 3,072 = 12x + 16x

2,688 = 28x

x = 96

3 0
3 years ago
Please help! I will mark as brainliest. <3
mafiozo [28]
In interval notation it should be [6, ∞)
5 0
3 years ago
Find the area of the shaded region
nexus9112 [7]

Answer:

40

Step-by-step explanation:

area of shaded region = area of whole figure - area of non shaded region

area of whole figure: The whole figure is a rectangle

The area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 10ft and the given length is 8ft

Hence area of whole figure = 10 * 8 = 80ft²

Area of non shaded region: the non shaded region also creates a rectangle

Like stated previously the area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 5ft and the given length is 8ft

Hence, area of non shaded region = 5 * 8 = 40ft²

Finally we can find the area of the shaded region.

We can easily do this my subtracting the area of the nonshaded region from the area of the whole figure

If we have identified that the area of the whole figure is 80 and the area of the non shaded region is 40

Then, area of shaded region = 80 - 40 = 40ft²

6 0
3 years ago
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