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melisa1 [442]
3 years ago
5

In the school choir, there are 30 children. The ratio of girls to boys is 4:1. How many boys are in the choir?​

Mathematics
1 answer:
Katarina [22]3 years ago
8 0

Answer:

6 boys

Step-by-step explanation:

For every four girls, there is one boy.

4 + 1 = 5

30 / 5 = 6

hope this helps + have a good day :)

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Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta
MrMuchimi

Answer:

The equation that best models this situation is :

b. \frac{x}{20}=\frac{x+400}{25}

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

<em>Let length of the trip of Train W be </em>= x miles

Speed of Train W can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x}{20}\ miles/h

<em>So, the length of the trip of Train Z will be</em> = (x+400) miles

Speed of Train Z can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x+400}{25}\ miles/h

Since the speeds are same, so the equation to find x can be given as:

⇒ \frac{x}{20}=\frac{x+400}{25}

Solving for x

Multiplying both sides by 100 to remove fractions.

⇒ 100\times \frac{x}{20}=100\times \frac{x+400}{25}

⇒ 5x=4(x+400)

Using distribution.

⇒ 5x=4x+1600

Subtracting both sides by 4x

⇒ 5x-4x=4x-4x+1600

⇒ x=1600

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 1600+400 = 2,000 miles

3 0
3 years ago
Please help me . Find x.
Paladinen [302]

Answer:

12) 5.96 ; 13)

Step-by-step explanation:

12). x and 5 are legs, so

opposite leg/adjacent leg = tangent 40°

5/x= tan40°,    5= x*tan40°, x= 5/tan40° ≈ 5.96

13). 15 is opposite leg

24 is hypotenuse

opposite leg/hypotenuse = sin(x)

sin(x) = 15/24

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3 years ago
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Mademuasel [1]

Answer: Comparison Postulate

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a > b

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a < b

So if you compare two numbers, then either the left value is larger, the left is smaller, or the the left is the same as the value on the right.

4 0
3 years ago
A. [1 3
Trava [24]

<em>D. [ 6 10 </em>

<em>-8 0]</em>


<em>would be the correct answer.</em>

7 0
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What is the value of x in number 23??
Sveta_85 [38]

Answer:

We can just work backwards to find the value of x.

If 3 * x = 23,

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Step-by-step explanation:

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