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Ronch [10]
3 years ago
8

The ratio of male students to female students is 4 to 5. if there is a total of 6192 students, find the number of male syudents

to the number of female students
Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0
5+7=12 is the number of elements.
16,200/12=1350 value of each element.
5+1350=6,750 males.
7*1,350=9,450 females.
Proofs:
6,750+9,450=16,200
5/7=6,750/9,450
5*9,450=7*6,750
<span>47,250=47,250</span>
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Write the point-slope form of the line that passes through (6, 1) and is parallel to a line with a slope of -3. Include all of y
denpristay [2]

Answer:

(y - 1) = -3(x - 6)

Step-by-step explanation:

The equation of a line in point-slope form is

(y-y_{1}) = m (x-x_{1})

where y1 and x1 are 2 known points, and m is the slope of the line. So simply just fill in the blanks.

y is a variable so it is left alone (since there is no subscript).

y1 we are told is 1.

m we are told is -3 (the slope)

x is a variable so it is left alone (since there is no subscript).

x1 we are told is 6.

3 0
3 years ago
For the following problem state the objective function and the constraints. DO NOT solve:
Mama L [17]

Answer:

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit P can be expressed as:

P=3S+5H

The restriction for cloth can be written as:

S+2H\leq500

The restriction for metal can be written as:

2S+3H\leq600

The restriction for wood can be written as:

4S+7H\leq800

The condition for S and H to be positive is:

S, H \geq0

Step-by-step explanation:

We have an objective function that, in this case, we want ot maximize.

This function is the Profit (P).

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit can be expressed as:

P=3S+5H

We have 3 restrictions, plus the condition that both S and H are positive.

The restriction for cloth can be written as:

S+2H\leq500

The restriction for metal can be written as:

2S+3H\leq600

The restriction for wood can be written as:

4S+7H\leq800

The condition for S and H to be positive is:

S, H \geq0

5 0
3 years ago
16
svlad2 [7]

Answer:

|x - 4| ≤ 0.3

Step-by-step explanation:

The actual width = 4

Maximum variation, x = 0.3

Hence, the lowest width position based on actual width and possible variation is :

4 - 0.3 ≤ x ≤ 4 + 0.3

3.7 ≤ x ≤ 4.3

7 0
3 years ago
Find the slope for the pair of points (1,1)(4,-4)
wolverine [178]
(1, 1) and (4, -4)

Slope formula is : m = (y₂-y₁) / (x₂-x₁)

In this case :

x₁ = 1 ; x₂ = 4 ; y₁ = 1 ; y₂ = -4

Now that you know what variable counts as what, we simply just need to plug everything in.

m = (-4 - 1) / (4 - 1)

Simplify.

m = -5/3

Therefore, your slope is -5/3

~Hope I helped~ :)
6 0
3 years ago
What is b + 3 (b - 2) = 2
Lunna [17]

Answer:

b=2

Step-by-step explanation:

b+3b - 6 =2

4b=8

b=2

Have a good day

4 0
3 years ago
Read 2 more answers
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