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lukranit [14]
3 years ago
9

There are 75 students in classes A and B altogether. There are 61 students in classes A and C altogether. The ratio of the numbe

r of students in Class B to Class C is 5:3. How many students are there in Class A?
Mathematics
2 answers:
morpeh [17]3 years ago
6 0

Answer:

A = 40

Step-by-step explanation:

A+B = 75

A+C = 61

Subtract

A+B = 75

-A-C = -61

----------------------

B-C = 14

B:C

5:3

for every 5B there are 3C

Replace B with 5/3 C

5/3C-C = 14

2/3C = 14

C = 21

A+C = 61

A +21 = 61

A = 40

Bezzdna [24]3 years ago
3 0

Answer:

40

Step-by-step explanation:

A +  B=75

A + C = 61

B = 5/3 *C

A+C * 5/3 = 75 then we got the answer

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Use the distance formula, show that the points (4,0), (2,1), and (-1,-5) form the vertices of a right triangle
mario62 [17]

Step-by-step explanation:

The distance formula between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the points.

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If a ≤ b < c are the sides of the right triangle, then

a² + b² = c²

\sqrt5

used (\sqrt{a})^2=a for a ≥ 0.

AB^2+BC^2=AC^2 therefore ΔABC is a right triangle.

6 0
3 years ago
A. <br> 0.643<br><br> B. <br> 0.933<br><br> C. <br> 0.600<br><br> D. <br> 0.321
PolarNik [594]

Answer:

0.321 (Answer D)

Step-by-step explanation:

Note that the event "A and Y" happens 9 times.  That's 9 times out of (6+9+8+5) outcomes, or 28 outcomes.

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4 0
3 years ago
Which two equations would be most appropriately solved by using the zero product property? Select each correct answer.
LekaFEV [45]
The zero product property tells us that if the product of two or more factors is zero, then each one of these factors CAN be zero.

For more context let's look at the first equation in the problem that we can apply this to: (x-3)(x+4)=0

Through zero property we know that the factor (x-3) can be equal to zero as well as (x+4). This is because, even if only one of them is zero, the product will immediately be zero.

The zero product property is best applied to factorable quadratic equations in this case.

Another factorable equation would be 2x^{2}+6x=0 since we can factor out 2x and end up with 2x(x+3)=0. Now we'll end up with two factors, 2x and (x+3), which we can apply the zero product property to.

The rest of the options are not factorable thus the zero product property won't apply to them.
3 0
3 years ago
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What is the value of 6x+7y−56x+7y−5 when x = 2 and y = 3?
Bingel [31]
You need to Solve 62+73-562+73-5 which should get you -359
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HELP PLZ When x = -2, which of the following points is on the graphed line y = -4x + 3?
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6 0
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