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alexandr402 [8]
3 years ago
9

How many solutions for linear equation 3x + 5y = 25 can be found so that −20 < y < 10, and x is an integer?

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

50

Step-by-step explanation:

3x = 25 - 5y

-100 < 5y < 50

-50 < -5y < 100

-25 < 25 - 5y < 125

-8.333 < x < 41.667

41+8+1 = 50

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HELP PLEASEE!!! I just need help with the 2 boxes
Soloha48 [4]

Answer:

y= x - 300

y = -246 -- Her equivalent weight on earth

Step-by-step explanation:

Given

The attached table

Required

Fill in the gaps

(a) The equation

First, we calculate the slope (m)

m = \frac{y_2  - y_1}{x_2 - x_1}

From the table, we can say that:

(x_1,y_1) = (0,-300)

(x_2,y_2) = (300,0)

So, we have:

m = \frac{0  -(-300)}{300 - 0}

m = \frac{0 +300}{300}

m = \frac{300}{300}

m = 1

The equation is then calculated using:

y - y_1 = m(x - x_1)

This gives:

y - (-300) = 1(x - 0)

y +300 = 1(x)

y +300 = x

y= x - 300

(b) When x = 54

Substitute 54 for x in y= x - 300

y = 54 - 300

y = -246

3 0
3 years ago
What is the volume of a cube whose face has an area of 64cm^2?
MatroZZZ [7]

Answer:

512

Step-by-step explanation:

6 0
3 years ago
the dimension of an office confrence are 8ft by 16 ft. the confrence room blueprint diemension are 4 cm by 8cm, whatbis the scal
Juliette [100K]
1cm for every 2ft is your answer
5 0
3 years ago
Can someone help me with this ?
zhannawk [14.2K]

Answer:

50

Step-by-step explanation:

12x + 15 = 5x +  85   {Subtract 15 from both sides}

12x + 15 - 15 = 5x + 85 - 15  

          12x = 5x + 70        {Subtract 5x from both sides}

12x - 5x   = 70

         7x = 70         {Divide both sides by 7}

          x = 70/7

x = 10

∠U = 5x = 5*10 = 50

7 0
3 years ago
Which point lies on the graph of the equation 10y = 3x - 11?
GaryK [48]

Answer:

A. (2,-0.5)

Step-by-step explanation:

A pair of coordinates is always (x,y) so

If you insert the numbers into the equation you get

10(-0.5) = 3(2) - 11

-5 = 6 - 11

-5 = -5

Therefore (2,-0.5) is the point that likes on the graph

5 0
3 years ago
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