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3 years ago

What is the LCM of 24 and 90?

Mathematics

2 answers:

madam [21]3 years ago

3 0

24,48,72,96,120,144,168,192,216,240,264...360

90,180,270,360

LCM of 24 and 90 is 360

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hope it helps

Blizzard [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Find the prime factorization of each number

24=2*2*2*3, 90=2*3*3*5

The LCM will be the product of highest occurring primes, in this case

2*2*2*3*3*5=360

So the LCM is 360

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Easy!!!

aksik [14]

Step-by-step explanation:

f(g(10))

This is called a composite function. It's when you plug one function into another.

First, find g(10):

g(x) = √(x-9)

g(10) = √(10-9)

g(10) = √1

g(10) = 1

Then plug that into f(x):

f(x) = -9x - 9

f(g(10)) = -9 g(10) - 9

f(g(10)) = -9 (1) - 9

f(g(10)) = -9 - 9

f(g(10)) = -18

7 0

3 years ago

A store is selling a mixture of apple granola and blueberry granola for $6.99 per pound. Blueberry granola costs $8.99 per pound

Alik [6]

Answer:the number of pounds of blueberry granola that she should put in the mixture is 10 pounds.

the number of pounds of apple granola that she should put in the mixture is 20 pounds

Step-by-step explanation:

Let x represent the number of pounds of blueberry granola that she should put in the mixture.

Let y represent the number of pounds of apple granola that she should put in the mixture.

She wants to make a 30 pounds mixture. This means that

x + y = 30

A store is selling a mixture of apple granola and blueberry granola for $6.99 per pound. This means that the cost of the 30 pound mixture would be

30 × 6.99 = $209.7

Blueberry granola costs $8.99 per pound and apple granola costs $5.99. This means that

8.99x + 5.99y = 209.7 - - - - - - - - - -1

Substituting x = 30 - y into equation 1, it becomes

8.99(30 - y) + 5.99y = 209.7

269.7 - 8.99y + 5.99y = 209.7

- 8.99y + 5.99y = 209.7 - 269.7

- 3y = - 60

y = - 60/ -3

y = 20

Substituting y = 20 into x = 30 - y, it becomes

x = 30 - 20 = 10 pounds

7 0

3 years ago

A satellite flies 55584 miles in 7.72 hours. How many miles has it flown in 23.19 hours?

dedylja [7]

Answer:

Miles flown in 23.19 hours = 166968 miles

Step-by-step explanation:

Given that:

A satellite flies 55584 miles in 7.72 hours

We will find the unit rate first,

Unit rate = $\frac{55584}{7.72}$

Unit rate = 7200 miles per hour

Miles flown in 23.19 hours,

Miles flown = 7200 * 23.19

Miles flown = 166968 miles

Hence,

Miles flown in 23.19 hours = 166968 miles

5 0

3 years ago

A circus tent is cylindrical upto a height of 3.3 m and conical above it if the diameter of the base is 100m and slant height of

Rina8888 [55]

Total cost of canvas required in making the tent is rupees 79128

Solution:

Given:

Height of the cylindrical tent = h = 3.3 m

Diameter of it's base = d = 100m

$radius = \frac{diameter}{2} = \frac{100}{2} = 50$

r = 50 m

Curved surface area of cylinder:

$C.S.A = 2 \pi rh$

$C.S.A = 2 \times 3.14 \times 50 \times 3.3 = 1036.2$

Thus Curved surface area of cylinder = 1036.2 square meter

Curved surface area of cone:

$C.S.A = \pi rl$

$C.S.A = 3.14 \times 50 \times 56.4 = 8854.8$

Thus Curved surface area of cone = 8854.8 square meter

Total curved area of tent:

⇒ curved area of cone + curved area of cylinder

$\rightarrow 8854.8 + 1036.2=9891$

Thus total curved area of tent = 9891 square meter

find total cost of canvas required in making the tent:

The cost of canvas is 8 rupees per square meter

$\rightarrow \text{total cost } = 9891 \times 8 = 79128$

Thus total cost of canvas required in making the tent is rupees 79128

7 0

3 years ago

Which statement correctly describes the relationship between an acute and obtuse angle? An acute angle has the same measure as a

SSSSS [86.1K]

An acute angle has a smaller measure than an obtuse angle

8 0

3 years ago

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What is the LCM of 24 and 90?​

What is the LCM of 24 and 90?