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Travka [436]
3 years ago
8

You have to complete at least 10 physics problems and math problems within 2 hours before you playing video games. It will take

you 20 minutes to complete a physics problem and 10 minutes to complete a math problem. Write a system of inequalities to express this situation. What is the most possible number of physics problems you can complete and still meet the requirements?
Mathematics
1 answer:
Ghella [55]3 years ago
5 0

Answer:2

Step-by-step explanation:

Given

Physics problem requires 20 min

Math problem require 10 min

suppose x question of Physics and y questions of Math are done

so according to the question

x+y\geq 10\ldots 1

Time require for x Physics problem =20 x

Time require for y Math problem =10 y

so,

20 x+10 y\leq 120\ldots 2

On solving (1) and (2)

we get x=2 and y=8

Maximum no of Physics question which can be solved is 2

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Fine the equation, in standard form, of the line passing through the points (3,-4) and (5,1)
Talja [164]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (3, -4) and (5, 1). Substitute:

m=\dfrac{1-(-4)}{5-3}=\dfrac{5}{2}\\\\y-(-4)=\dfrac{5}{2}(x-3)

The standard form: Ax+By=C

y+4=\dfrac{5}{2}(x-3)           <em>multiply both sides by 2</em>

2y+8=5(x+3)           <em>use distributive property</em>

2y+8=5x+15            <em>subtract 2y from both sides</em>

8=5x-2y+15          <em>subtract 15 from both sides</em>

-7=5x-2y

<h3>Answer: 5x - 2y = -7</h3>
5 0
4 years ago
Given the equation 4x − 26 = 2x − 4, which order of operations completely solves for x?
scoray [572]
4x - 26 = 2x - 4....subtract 2x from both sides
4x - 2x - 26 = -4...add 26 to both sides
4x - 2x = -4 + 26...combine terms
2x = 22...divide both sides by 2
x = 22/2 = 11

OR
4x - 26 = 2x - 4.....subtract 4x from both sides
-26 = 2x - 4x - 4....add 4 to both sides
-26 + 4 = 2x - 4x...combine terms
-22 = -2x....divide both sides by -2
-22/-2 = x
11 = x
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3 years ago
√4/4
Lady_Fox [76]

Answer:

D. \frac{4}{16}^{1/2}

Step-by-step explanation:

\frac{\sqrt{4} }{4} = 0.5

and

\frac{4}{16}^{1/2}=0.5

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3 years ago
10 divided (-5)x-2x-8
liraira [26]

Answer: -4x -8

See picture below for step by step

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3 years ago
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