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Katarina [22]
2 years ago
10

I'm completely lost

Mathematics
1 answer:
Vladimir [108]2 years ago
4 0
Let x be the number of racing bikes, and let y be the number of mountain bikes.
1) 140x + 110y = 26150
2) 180x + 120y = 31800
Solve for one of the variables and plug that in to the other equation:
From equation 1: 140x = 26150 - 110y
x = (26150-110y)/140
Plug this into equation 2:
180((26150-110y)/140) = 31800
Solve for y, and find that y = 85 (the number of mountain bikes).
Plug that y into either equation to find x:
140x + 110(85) = 26150
x = 120 (the number of racing bikes).
So the answer is: 120 racing bikes and 85 mountain bikes.
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Given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]
Jobisdone [24]

The value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

<h3>What is the value of f[-4] and g°f[-2]?</h3>

Given the function;

  • f(x) = \frac{3x-2}{x+1}
  • g(x)=x+5
  • f[ -4 ] = ?
  • g°f[ -2 ] = ?

For f[ -4 ], we substitute -4 for every variable x in the function.

f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}

For g°f[-2]

g°f[-2] is expressed as g(f(-2))

g(\frac{3x-2}{x+1}) =  (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) =  \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) =  13

Therefore, the value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

Learn more about composite functions here: brainly.com/question/20379727

#SPJ1

6 0
1 year ago
Andrea was watching her brother in the ocean and noticed that the waves were coming into the beach at a frequency of 0.367347 Hz
anygoal [31]

Answer:

<u>18 waves</u> hit the beach in 49 s.

Step-by-step explanation:

Given:

The frequency of the waves that were coming into the beach is 0.367347 Hz.

Now, to find the number of waves that hit the beach in 49 s.

Let the number of waves be n.

The frequency of waves (f) = 0.367347 Hz.

The time it takes to hit the beach (t) = 49 s.

Now, we put formula to get the number of waves:

f=\frac{n}{t} \\\\0.367347=\frac{n}{49} \\\\Multiplying\ both\ sides\ by\ 49\ we\ get:\\\\18.000003=n\\\\n=18.000003.

<u><em>The number of waves = 18.</em></u>

Therefore, 18 waves hit the beach in 49 s.

8 0
3 years ago
Use the data set below to answer questions 7 to 9
Mariana [72]
Range: 16 (20 - 4)

Median: 9 (average 8 and 10)

Mean: 9.5 (average all the numbers)
8 0
3 years ago
The distance from Rodney's house to the park is 100 meters. If he walks to the park and back to his house, how far will he have
konstantin123 [22]

Answer:

c. 20,000cm

Step-by-step explanation:

from is house to the park is 100m

from the park back to his house is another 100m

100m+100m=200m

1m = 100cm

200m = xcm

cross multiply

xcm = 200×100

xcm= 20,000cm

3 0
3 years ago
Use the image to match the arc/angle measure.
IrinaK [193]

Answer:

The following measurements are:

m\angle{STR}=23^\circ (Option #4)

m{QT}=142^\circ (Option #7)

mST=134^\circ (Option #5)

mRQ=38^\circ (Option #2)

Step-by-step explanation:

To begin, we can find the measure of \angle{STR} by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

Since the intercepted arc (RS) is 46 degrees, we have:

46=2\theta\\23=\theta

Next, we can find the measure of arc QT using the same theorem. So,

QT=2(71)\\QT=142

Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of 180^\circ. Since the arc ST is part of the arc RST, and we know RS is 46^\circ, we can set up and solve this equation:

RST = RS + ST\\180 = 46 + ST\\134 = ST

We can use the same idea to find RQ. We know that RQT is 180^\circ and QT is 142^\circ, so:

RQT = RQ + QT\\180 = RQ + 142\\38 = RQ

7 0
2 years ago
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