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Veseljchak [2.6K]
3 years ago
8

A technician charges $25 per hour plus $50

Mathematics
1 answer:
stepladder [879]3 years ago
4 0
The equation for that would be, if h is how many hours the technician charges:

25h + 50 = amount technician earns
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Which statement is true
liberstina [14]
B is true
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8 0
3 years ago
Jill has a collection of bugs. Her collection contains butterflies and tarantulas. She has 47 bugs and counts 320 total legs. (N
prisoha [69]

Answer:

The solution to this system of equations is:

  • B = 28
  • T = 19

Step-by-step explanation:

We are given that Jill has 47 bugs and counts a total 320 legs.

We can concur that by adding the total number of butterflies and the total number of tarantulas, we will get 47 bugs.

\text{tarantulas + butterflies} = 47

We are also told that T is tarantulas and B is butterflies.

T + B = 47

Then, we also know that butterflies have 6 legs and tarantulas have 8 legs. So, for every tarantula, we get a multiple of 8 and for butterflies, we get a multiple of 6. This gives us a new equation:

6B + 8T = 320

Now, we can set up a system of equation.

\displaystyle \left \{ {{B + T = 47} \atop {6B + 8T = 320}} \right.

Using the first equation, we can solve for B.

\displaystyle B + T = 47\\\\B + T - T = 47 - T\\\\B = 47 - T

Then, we can substitute this value of B into the second equation and solve for T.

\displaystyle 6(47-T)+8T=320\\\\282 - 6T + 8T = 320\\\\282 + 2T = 320\\\\2T + 282 = 320\\\\2T + 282 - 282 = 320 -282\\\\2T = 38\\\\\frac{2T}{2}=\frac{38}{2}\\\\T = 19

Finally, we can substitute this value of T into the first equation to solve for B.

B + 19 = 47\\\\B + 19 - 19 = 47 - 19\\\\B = 28

Therefore, the solution to this system of equations is:

  • B = 28
  • T = 19
7 0
3 years ago
What is the quotient of Three-fourths and StartFraction 5 Over 6 EndFraction?
Thepotemich [5.8K]

Answer:

9/10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
3(x-4)=5x-20 solve for x
yKpoI14uk [10]
3(x-4)=5x-20\\
3x-12=5x-20\\
2x=8\\
x=4
6 0
3 years ago
Read 2 more answers
The Tama, Japan, monorail carries 92,700 riders
Damm [24]

Answer:

The monorail runs 18 hours runs every day.

Step-by-step explanation:

You know that the total number of riders the monorail carry each day is 92700 and the number of riders the monorail carry per hour is 5150.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

A direct proportionality relationship is established between two quantities if:

  • The greater the quantity in one quantity, the greater the quantity in the other quantity, in the same proportion.
  • The less quantity in the magnitude corresponds to the less quantity in the other magnitude, in the same proportion.

If the relationship between the magnitudes is direct the direct rule of three must be applied and to solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

Being

x=\frac{c*b}{a}

In this case the rule of three can be applied in the following way: if the monorail carries 5,150 passengers in 1 hour, the monorail will transport 92,700 passengers in how many hours?

amount of hours=\frac{92,700 passengers*1hour}{5,150 passengers}

amount of hours= 18 hours

So <u><em>the monorail runs 18 hours runs every day.</em></u>

8 0
4 years ago
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