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klio [65]
3 years ago
15

When Henry surveyed 45 seventh-grade students at random in the school cafeteria, he found that 3 out of 15 liked reggae music. U

sing proportional reasoning, about how many of the 180 seventh-grade students in his school like reggae?
Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0
3                       x
---------= --------- ---------
15                 180

15x=540
-----   ------= 36 students. 
15       15

Steps: Cross multiply to get 15x and 540. Divide both numbers by 15, then you found what x equals, which is the answer. 
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Write an equation for the statement. Then, solve the equation:
Diano4ka-milaya [45]

Answer:

V = 125.6 in³

Step-by-step explanation:

let V be volume, h the height and r the radius, then the equation relating the quantities is

V = khr² ← k is the constant of variation

To find k use the condition V = 402.12, h = 8, r = 4

402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )

3.14 = k [ note 3.14 is π )

V = 3.14hr² ← equation of variation [ V = πr²h ]

Given r = 2 and h = 10, then

V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6

4 0
2 years ago
Solve for d.<br> 2d + 4 = 10 + 5d
sveta [45]

Answer:

d = -2

Step-by-step explanation:

2d - 5d = -3d

10 - 4 = 6

-3d = 6  

d = -2

Kono Dio Da!!!

5 0
3 years ago
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choose the equation below that represents the line passing through the point (1,-4) with a slope of 1/2
Archy [21]
Well, we can use the form y = mx + b, where m equals the slope and x and y are the coordinate values:
-4 = 1/2(1) + b
b = 9/2
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y = 1/2x + 9/2
6 0
2 years ago
What is the solution to the system of equations shown in the graph?
ozzi
The correct answer is (-2,1)
7 0
3 years ago
What is the LCD of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B12%7D" id="TexFormula1" title="\frac{5}{12}" alt="\frac{5}
grigory [225]

again, let's take a peek to our denominators.

12 = 2*2*3

16 = 2*2*2*2


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\bf \stackrel{once}{2\cdot 2}\cdot 3\cdot 2\cdot 2\implies \boxed{48}

7 0
2 years ago
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