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3 years ago

Translate The quotient of a number b and 7 is less than 23.

Mathematics

1 answer:

pentagon [3]3 years ago

3 0

Answer:

Step-by-step explanation:

b/7<23

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Find the complete solution of the system 5x+3y+11z=37 3y+z=12 5x+9y+13z=61

valkas [14]

Answer:

$y = \displaystyle\frac{12-z}{3}\\\\x = -2z + 5$

Step-by-step explanation:

We are given a system of equation:

$5x+3y+11z=37\\3y+z=12\\5x+9y+13z=61$

To find a solution to the given system, we follow the given steps.

1. Subtracting second equation from first and third equation, we get:

$5x+3y+11z-3y-z=37-12\\5x+10z = 25\\5x+9y+13z-3(3y+z) = 61 - 36\\5x + 10z = 25$

2. After eliminating z to obtain two equations in two variable, we observe that the two equations obtained were same.

So we have three equations that will all graph in the same plane.

Thus, there are infinite number of solution to the given system of equation.

We can write the values of x and y in the form of z:

$y = \displaystyle\frac{12-z}{3}\\\\5x + 12 - z + 11z = 37\\5x = -10z + 25\\x = -2z + 5$

3 0

3 years ago

Find the slope (2,4),(-2,-1)

tangare [24]

Answer:

4/5

Step-by-step explanation:

x2-x1/y2-y1

-2-2=-4

-1-4=-5

-4/-5

Simplify

4/5

The slope is 4/5

8 0

4 years ago

Factor completely 3x 2 + 2xy - y 2

sergij07 [2.7K]

Answer:

Final answer is $(3x-y)(x+y)$ .

Step-by-step explanation:

Given expression is $3x^2+2xy-y^2$ .

Now we need to factor the given expression $3x^2+2xy-y^2$ completely. Let's use factor by grouping method.

$3x^2+2xy-y^2$

$=3x^2+3xy-xy-y^2$

$=3x(x+y)-y(x+y)$

$=(3x-y)(x+y)$

Hence final answer is $(3x-y)(x+y)$ .

5 0

3 years ago

Read 2 more answers

Kevin is solving this problem. 737 × 205 What are the partial products Kevin will need to solve the problem? A. 3,685 and 147,40

Andrew [12]

the answer is A

700 x 5 = 3500

30 x 5 = 150

7 x 5 = 35

3500 + 150 +35 = 3685

700 x 200 = 140,000

30 x 200 = 6000

7 x 200 = 1400

140000 + 6000 + 1400 = 147400

6 0

3 years ago

I need to know the table of the graph

Alex17521 [72]

Can you please post the graph so I can help

7 0

4 years ago