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slega [8]
3 years ago
8

One number is four times another number. The sum of their reciprocals is 1/4 . What are the numbers?

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer:

x=2, y=8

Step-by-step explanation:

Set up the equations:

4x=y

1/4x+1/y=1/4

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

1/y+1/y=1/4

2/y=1/4

cross product

y*1=2*4

y=8

4x=8

x=8/4=2

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The Talbot family got 2 pizzas and 4 drinks for $32. The Martinez family got 3 pizzas and 8 drinks for $52. How much does each p
Brrunno [24]

Answer:

Each pizza costs $12.

Each drink costs $2.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the cost of each pizza.

y is the cost of each drinks.

The Talbot family got 2 pizzas and 4 drinks for $32.

This means that 2x + 4y = 32

The Martinez family got 3 pizzas and 8 drinks for $52.

This means that 3x + 8y = 52

Using the addition method, multiplying the first equation by -2.

-4x - 8y = -64

3x + 8y = 52

-4x + 3x - 8y + 8y = -64 + 52

-x = -12

x = 12

Each pizza costs $12.

2x + 4y = 32

2x + 4y = 32

4y = 32 - 2x

4y = 32 - 2*12

4y = 8

y = 2

Each drink costs $2.

5 0
3 years ago
Find the slope and the y-intercept of the graph of y+1=4/3x.
riadik2000 [5.3K]

Answer:

Slope = 4/3x; y-intercept = -1

Step-by-step explanation:

y + 1 = 4/3x

You have to write this equation in slope-intercept form (solve for y) if you want to find the slope and y-intercept

y + 1 = 4/3x

Subtract one from both sides

y + 1 - 1 = 4/3x - 1

y = 4/3x - 1

Now that we have the equation, you can now find the slope and y-intercept

y = mx + b; m is the slope and b is the y-intercept

So for y = 4/3x - 1, the slope is 4/3x and the y-intercept is -1

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Ede4ka [16]
Answer:

The volume is 252 inches.

Step-by-step explanation:

Volume is length x width x height so
18 x 1 x 14 is 252
8 0
3 years ago
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Round each number to the nearest thousand and add 29,847+31,866+49,230
lbvjy [14]

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