3 years ago

Express the ratio 2 to 3 and 8 to 9 in lowest terms

1 answer:

8 0

$\dfrac{2}{3}:\dfrac{8}{9}=\left(9\cdot\dfrac{2}{3}\right):\left(9\cdot\dfrac{8}{9}\right)=(3\cdot2):(1\cdot8)\\\\=6:8=\dfrac{6}{2}:\dfrac{8}{2}=3:4\\\\Answer:\ \boxed{\dfrac{2}{3}:\dfrac{8}{9}=3:4}$

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Y is directly proportional to the square of x.

RUDIKE [14]

Answer:

The value of y is 847 for x=11

Step-by-step explanation:

It is given that y is directly proportional to the square of x

This can be written mathematically as:

$y \propto x^2$

Removing the proportionality symbol introduces a proportionality constant in the equation which is denoted by k

$y = kx^2$

Given that "When x is 5, y is 175"

$175 = k (5)^2\\175 = k*25\\k = \frac{175}{25}\\k = 7$

Putting the value of k

$y = 7x^2$

Now putting x = 11

$y = 7(11)^2\\y = 7 * 121\\y = 847$

Hence,

The value of y is 847 for x=11

5 0

3 years ago

Solve the right triangle. Round decimal answers to the nearest tenth.<br> MK= 8<br> 40°

NeTakaya

All of it is 8 because sides are all equal

5 0

2 years ago

If 5\9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?

Blizzard [7]

Answer:

It would take 3.6 mins.

Step-by-step explanation:

In order to find this, we simply divide the amount of time by the amount of the tank that is filled.

2 ÷ 5/9 = 3.6

7 0

2 years ago

1. To go bowling, it costs $2.00 to rent shoes and $3.50 per game. The function t(x) = 3.5x + 2 is used to find the total cost,

borishaifa [10]

Answer:

a. $5.5 b. $19.5

Step-by-step explanation:

t(x)=3.5x+2

x = amount of games

a. t(1)=3.5(1)+2

t(1)=3.5+2

t(1)=5.5

b. t(5)=3.5(5)+2

t(5)=17.5+2

t(5)=19.5

4 0

3 years ago

Pleqse help me do this thank you

SpyIntel [72]

Answer:

84 grams; 5 ounces

Step-by-step explanation:

1oz = 28g

3*1oz = 3*28g

3 oz = 84g

140g = 5*28g = 5*1oz

140g = 5oz

5 0

3 years ago