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3 years ago

For what values of y:s the value of the fraction 4.5−2y/5 less than the value of the fraction 2−3y/10 ?

Mathematics

1 answer:

Andre45 [30]3 years ago

4 0

Answer:

7 < y

Step-by-step explanation:

The relation you're interested in is ...

(4.5 -2y)/5 < (2 -3y)/10

9 -4y < 2 -3y . . . . . . . . . multiply by 10

7 < y . . . . . . . . . . . . . . . . add 4y-2

The value of the first fraction will be less than that of the second fraction for values of y greater than 7.

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25y + 150x = 250<br><br> find the Variables

fomenos

Answer: Step-by-step explanation:

25y + 150x = 250 (÷25)

y+6x=10

y=10-6x

example x=1 y=4

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2 years ago

What is the surface area of the regular pyramid given below?

zheka24 [161]

I say C is the answer

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3 years ago

An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on

butalik [34]

Answer:

90 engines must be made to minimize the unit cost.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

$f(x) = ax^{2} + bx + c$

It's vertex is the point $(x_{v}, y_{v})$

In which

$x_{v} = -\frac{b}{2a}$

$y_{v} = -\frac{\Delta}{4a}$

Where

$\Delta = b^2-4ac$

If a>0, the minimum value of the function will happen for $x = x_v$

C(x)=x²-180x+20,482

This means that $a = 1, b = -180, c = 20482$

How many engines must be made to minimize the unit cost?

x value of the vertex. So

$x_{v} = -\frac{b}{2a} = -\frac{-180}{2(1)} = 90$

90 engines must be made to minimize the unit cost.

3 0

2 years ago

Mr.Willy uses the following recipe for crispy treats. She decides to make 1/3 of the recipe,2 cups melted butter,24oz marshmello

____ [38]

(1/3)2= 2/3 cups butter
(1/3)24= 8 oz marshmallows
(1/3)14= 4 2/3 cups rice crispy

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2 years ago

Solve the following equation:<br> a) 3x - 9 = 27/ 1 - 5x<br> b) 10x - 1/x = 3

mars1129 [50]

Answer:

A) x=9/2 B) x=-1/5, 1/2

Step-by-step explanation:

3x-9=27/1-5x

3x-9=27-5x

3x-(-5x)-9=27

3x+5x-9=27

8x-9=27

8x=27+9

8x=36

x=36/8

simplify

x=9/2

Answer: x=9/2

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

10x-1/x=3

(10x^2-1)/x=3

10x^2-1=3*x

10x^2-1=3x

10x^2-3x-1=0

factor out the trinomial,

find two numbers that when they multiply,

you get the third term, which is -1 in this case.

When you add those 2 numbers, you get the second term,

which is -3 in this case.

(5x+1)(2x-1)=0

apply the zero property from here,

set 5x+1=0 and 2x-1=0 and solve for x.

5x=0-1=-1, x=-1/5,

2x=0+1=1, 2x=1, x=1/2.

So x=-1/5, 1/2.

5 0

2 years ago