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2 years ago

14

Soo I haven't done ratios in a while.. Anyone get this?

2 answers:

Artyom0805 [142]2 years ago

6 0

Answer:

A) Yes

B) No

C) Yes

Step-by-step explanation:

A) The ratio of $\frac{1}{5}$ is 1:5. You can simplify ratios, so if you simplify 2:10, it would be 1:5.

B) You can't simplify $\frac{2}{5}$ to anything else and even if you do simplify 2:10, both forms won't match the answer.

C) You can simplify $\frac{4}{20}$ to $\frac{2}{10}$ , which then can be simplified to $\frac{1}{5}$ . So it is equivalent to 2:10.

Sauron [17]2 years ago

4 0

4/20 i think is the answerrr

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a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor

xenn [34]

Answer:

The required probability is $\dfrac{13}{50}$

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em> $\times$ <em> Probability of selecting a lemon bottle out of water bottles.</em>

<em></em>

<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em> $\times$ <em> Probability of selecting a lemon bottle out of tea bottles.</em>

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Probability of selecting a water bottle:

$\dfrac{30}{50} = \dfrac{3}{5}$

Probability of selecting a lemon flavored bottle from water bottle:

$\dfrac{8}{30}$

<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em> $\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}$ <em></em>

<em></em>

Probability of selecting a tea bottle:

$\dfrac{20}{50} = \dfrac{2}{5}$

Probability of selecting a lemon flavored bottle from tea bottle:

$\dfrac{5}{20} = \dfrac{1}{4}$

<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>

<em></em> $\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}$ <em></em>

<em></em>

<em>The required probability is:</em>

<em>P(A) + P(B):</em>

<em></em> $\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}$ <em></em>

8 0

3 years ago

What is the length of the hypotenuse of the triangle?<br> 7 ft<br> 4 ft

stepladder [879]

Answer:

√65 ft = 8.1 ft

Step-by-step explanation:

We solve using Pythagoras Theorem

c² = a² + b²

c = √a² + b²

Where c = Length of the Hypotenuse

a = 4ft , b = 7ft

Hence

c = √4² + 7²

c = √16 + 49

c = √(65)

c = 8.0622577483 ft

Approximately = 8.1 ft

Therefore, the length of the hypotenuse is √65 ft = 8.1 ft

5 0

2 years ago

The perimeter of the triangular park on the right is 16x-6. What is the missing length? The bottom side length is 5x+4 and the r

Romashka-Z-Leto [24]

Answer:

$(9x-5)\ units$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The perimeter of a triangle is the sum of the length of their three sides

so

$P=a+b+c$

where

a,b,c are the length sides of the triangle

In this problem we have

$P=(16x-6)\ units\\a=(2x-5)\ units\\b=(5x+4)\ units$

substitute and solve for the missing length

$(16x-6)=(2x-5)+(5x+4)+c\\c=(16x-6)-(2x-5)-(5x+4)\\c=(9x-5)\ units$

3 0

3 years ago

The 7th graders in the middle school are going on a field trip to the aquarium. They will spend 4 ¼ hours walking inside of the

Firlakuza [10]

Answer:

The answer is 5.

Step-by-step explanation:

17 / 4 + 3 / 4 =

(17 × 4) + (3 × 4)

4 × 4 = 80 / 16 =

80 ÷ 16

16 ÷ 16

= 5

Hope this helps!

6 0

3 years ago

2x - y = 6<br>4<br>x-y<br>13<br>anch

yanalaym [24]

Answer:

x=-7, y= -20

Step-by-step explanation:

2x - y =6

x - y = 13

when I subract (x-y =13 ) from (2x-y =6)

2x -y =6

-x +y=-13

______________

x = -7

substitute x=-7 in the second equation

-7 - y =13

-y = 13 +7

-Y = 20

Y=-20

x=-7, y= -20

8 0

3 years ago

Read 2 more answers