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3 years ago

Simplify please. Picture is attached

Mathematics

1 answer:

dem82 [27]3 years ago

3 0

$\dfrac{2 \sqrt{3} }{3 \sqrt{5} } = \dfrac{ \sqrt{4} \times \sqrt{3} }{ \sqrt{9} \times \sqrt{5} } = \dfrac{ \sqrt{4} }{ \sqrt{15} } = \dfrac{2 \sqrt{15} }{15}$

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f varies jointly as g, h, and j. One set of values is f=18, g=4, h=3, and j=5. Find f when g=5, h=12, and j=3.

IrinaK [193]

Answer:

$\boxed{60}$

Step-by-step explanation:

f ∝ ghj

Convert the proportion to an equality

f = kghj

Calculate the value of k

18 = k × 4 × 3 × 5

18 = 60k

k = ⅓

Rewrite the equation with the value of k

f = ⅓gkj

Find the new value of f

f =⅓ × 5 × 12 × 3 = $\boxed{60}$

6 0

3 years ago

Select all that apply.

BlackZzzverrR [31]

Answer:

A. Divide by 100

C. Move the decimal point two places to the left

Step-by-step explanation:

To write a percent as a decimal, divide by 100 or move the decimal point two places to the left.

5 0

4 years ago

Stackable polystyrene cups have a height h1=12.5 cm. Two stacked cups have a height of h2=14 cm. Three stacked cups have a heigh

RUDIKE [14]

Answer:

Approximately 59 stacked cups.

Step-by-step explanation:

Given,

Height of a cup = 12.5 cm,

Two stacked cups = 14 cm,

Three stacked cups = 15.5 cm,

........, so on,....

Thus, there is an AP that represents the given situation,

12.5, 14, 15.5,....

First term is, a = 12.5,

Common difference, d = 1.5 cm,

Thus, the height of x cups is,

$h(x) = a+(x-1)d = 12.5 + (x-1)1.5 = 1.5x + 11$

According to the question,

h(x) = 200

⇒ 1.5x + 11 = 200

⇒ 1.5x = 189

⇒ x = 59.3333333333 ≈ 59,

Hence, approximately 59 stacked cups will need.

3 0

4 years ago

Read 2 more answers

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his

andrew11 [14]

Answer:

2b < 56

n = b - 2

b = n + 2

n < 27

b < 28

No, because the difference between Brittany and Nate's age is 2years

Step-by-step explanation:

A.)

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death

Let Brittany's age = b

Twice Brittany's age = 2 × b = 2b

Lincoln's age = 56

2b < 56

B.)

Nate's age = n

Nate is 2 years younger than brittany who is aged 'b'

n = b - 2

C.) b = n + 2

D.)

If 2b < 56 and b = n + 2

2(n + 2) < 56

2n + 2 < 56

2n < 56 - 2

2n < 54 ; n < 27

2b < 56

b < 56/2

b < 28

No, because the difference between Brittany and Nate's age is 2years

4 0

3 years ago

12<br> please solve and explain how!! i’ll mark brainliest!

Ronch [10]

Answer:

10 + 2 is 12?

Step-by-step explanation:

5 0

4 years ago