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alisha [4.7K]
4 years ago
7

Which of the following ordered pairs is a solution of the given system of

Mathematics
1 answer:
katrin [286]4 years ago
7 0
This is how you do it doing substitution method...

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Ramiro was on a two day road trip.on the first day he drove at an average speed of 40 mph.on the second day he drove at an avera
ratelena [41]

Considering the relationship between velocity, distance and time, it is found that the total distance traveled was of 380 miles.

<h3>What is the relationship between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, that is:

v = d/t.

For the first day, we have that:

v = 40, t = t + 2, d = d + 20, hence:

40 = (d + 20)/(t + 2)

For the second day, we have that:

v = 60

60 = d/t

d = 60t

Then, replacing in the first equation:

40 = (60t + 20)(t + 2)

60t + 20 = 40t + 80

20t = 60

t = 3.

Then the distances are given by:

  • First day: d = 60t + 20 = 60 x 3 + 20 = 200 miles.
  • Second day: d = 60t = 60 x 3 = 180 miles.
  • Total: 200 miles + 180 miles = 380 miles.

More can be learned about the relationship between velocity, distance and time at brainly.com/question/28143163

#SPJ1

3 0
2 years ago
Classify the number 8, by indicating in which set or sets it belongs.
Shtirlitz [24]
Whole number, integer, real number, natural number.
3 0
3 years ago
A Rectangular‘s perimeter and it’s area have the same numerical value. The width of the rectangle is 3 units. What is the length
stiks02 [169]

Answer:We found that the 6 by 3 rectangle works, because 6+3+6+3=18 and 6x3=18, so this has equal area and perimeter. ... But if both the length and the width are odd, then the area will be odd, meaning that it is impossible for the perimeter to be the same as the area.

Step-by-step explanation:

4 0
3 years ago
If f(x) is a linear function, f(- 3) = - 3 , and f(5) = 4 , find an equation for f(x)
uysha [10]

f(x)=mx+b

f(-3)=-3 meaning that (-3,-3)

f(5)=4 meaning that (5,4)

(1 ) Find slope.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{4+3}{5+3}\\m=\frac{7}{8}

The slope is 7/8

(2) Substitute any ordered pairs in the equation.

I'll use (5,4)

f(x) = \frac{7}{8}x+b\\4=\frac{7}{8}(5)+b\\4=\frac{35}{8}+b\\32=35+8b\\32-35=8b\\-3=8b\\-\frac{3}{8}=b\\b=-\frac{3}{8}

Therefore the equation for f(x) is f(x)=\frac{7}{8}x-\frac{3}{8}

8 0
3 years ago
The current balance of Finn’s checking account is $437.80. FInd the new balance after
tekilochka [14]
437.80 - 39.56 = 398.24
4 0
3 years ago
Read 2 more answers
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