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3 years ago

What are the first three common multiples of 8 and 12

Mathematics

1 answer:

Nata [24]3 years ago

7 0

Answer:

24, 48, 72

Step-by-step explanation:

Common Multiples of 8: 8,16,24,32,40,48,56,64,72,80….

Common Multiples of 12: 12,24,36,48,60,72,………..

Hence the First 3 Least common multiple of 8 and 12= 24, 48, 72

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What is the volume of the square pyramid with base edges 4 m and height 3 m

olya-2409 [2.1K]

16 m³

Step-by-step explanation:

Step 1:

Here we are going to find the volume of square pyramid.

Volume of square pyramid = $(1/3)$ × $(Base)^{2}$ × $(Height)$

Here base = 4 m

Height = 3 m

Step 2:

Volume = (1/3) × (4 × 4) × 3

= 16 m³

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3 years ago

Annie is the height shown.

Phoenix [80]

Answer:

Annie's height= 49 cm

Her brother's height= b+ 49

Let the sum be represented as x

x- 49 = b

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2 years ago

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irina [24]

Answer:

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Step-by-step explanation:

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3 years ago

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for e

bekas [8.4K]

Answer:

The water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

Step-by-step explanation:

Given:

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

Now, to find the quantity of water and syrup she need to use.

As given in question ratio so:

Strawberry syrup = 2 1/4 = 9/4.

Water = 3/4.

Total cups of strawberry drink = 15 3/4 = 63/4.

Let the strawberry syrup be $\frac{9}{4} x$ .

And let the water be $\frac{3}{4} x$ .

According to question:

$\frac{9x}{4} + \frac{3x}{4}=\frac{63}{4}$ .

On adding the fractions:

⇒ $\frac{9x+3x}{4} =\frac{63}{4}$

⇒ $\frac{12x}{4} =\frac{63}{4}$

Multiplying both sides by 4 we get:

⇒ $12x=63$

Dividing both sides by 12 we get:

⇒ $x=\frac{63}{12}$

Dividing numerator and denominator by 3 on R.H.S we get:

⇒ $x=\frac{21}{4}$

Now, putting the value of $x$ on ratios:

Strawberry syrup = $\frac{9}{4}\times x=\frac{9}{4}\times\frac{21}{4}$

= $\frac{189}{16}$

= $11\frac{13}{16}\ cups$

Water = $\frac{3}{4}\times x =\frac{3}{4} \times\frac{21}{4}$

= $\frac{63}{8}$

= $7\frac{7}{8} \ cups.$

Therefore, the water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

4 0

3 years ago

Given the recursive formula: a1=3 An=2(an-1+1) Find a2 a3 a4

fenix001 [56]

Answer:

$a_2 = 8$

$a_3 = 18$

$a_4 = 38$

Step-by-step explanation:

We are given the following recursive formula:

$a_n = 2(a_{n-1}+1)$

And consider $a_1 = 3$

$a_2 = 2(a_1 + 1) = 2(3 + 1) = 8$

$a_3 = 2(a_2 + 1) = 2(8 + 1) = 18$

$a_4 = 2(a_3 + 1) = 2(18 + 1) = 38$

6 0

3 years ago