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m_a_m_a [10]
3 years ago
14

Select the number of solutions for each system of two linear equations.

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

work is shown and pictured

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What property is this?<br><br> (3x+2)+16=3x+(2+16)
Jlenok [28]

Answer:

It is Associative property :))

Step-by-step explanation:

5 0
2 years ago
You want to build a wheelchair ramp leading up to your house. Your front door is 2 feet higher than the driveway and you would l
Alenkasestr [34]

Answer: (a) The angle the ramp forms with the driveway, s° = 4.004° (3 d.p)

(b) The driveway has to be, s = 28.57 ft

(c) The ramp will be 28.64 ft long

Step-by-step explanation:

First key thing to know is that the %grade of a ramp = rise/ramp run

%grade of a ramp = 7% = 0.07

(Kindly find attached a diagram to assist with understanding).

Also note that, <em>the ramp run is not the same as the ramp length</em>

(a) the angle, θ, is the angle of slope between the driveway and the ramp,

tan θ = 0.07,

θ = tan⁻¹ 0.07 = 4.004° (3 d.p)

(b) the length of the driveway (s) is the same as the length of the ramp run, so, %grade of a ramp = rise/ramp run

0.07 = 2/s

s = 2/0.07 = 28.57 ft (2 d.p)

(c) the length of the ramp can be found by using Pythagoras' theorem,

L = ramp length =\sqrt{rise^{2} + ramprun^{2} }

L = \sqrt{2^{2} +28.571^{2} }

L = \sqrt{820.3041}

L = 28.64 ft (2 d.p)

4 0
3 years ago
Heather, Eric, and Chang sent a total of 116 text messages over their cell phones during the weekend. Chang sent 3 times as many
notka56 [123]

Answer:

Step-by-step explanation:

Declaration

Let Heather's number of messages = x

Let Eric's number of messages = x + 9

Let Chang's number of messages = 3(x +9)

Equation

x + x + 9 + 3(x + 9) = 116    

Solution

x + x + 9 + 3(x + 9) = 116                             Remove the brackets

x + x + 9 + 3x + 27 = 116                             Combine like terms

x + x + 3x + 9 + 27 = 116

5x + 36 = 116                                               Subtract 36 from both sides

5x + 36 - 36 = 116 - 36                                Combine

5x = 80                                                       Divide both sides by 5

5x/5 = 80/5

x = 16

Answer

Heather = 16

Eric = 16 + 9 = 25

Chang = 3*25 = 75

5 0
2 years ago
On average, the moon is 384,400 kilometers from the Earth. How is this distance written in
KiRa [710]

Answer:

C

Step-by-step explanation:

hope this helps with the work

5 0
3 years ago
Read 2 more answers
Which table contains only corresponding x - values and y - values where the value of y is 3 more than the quotient of x and 2?
melisa1 [442]

Fr like whats the answer choice

6 0
2 years ago
Read 2 more answers
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