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enyata [817]
3 years ago
7

1 hour job costs $90 A 3 hour job costs $210 What is the initial amount and hourly rate

Mathematics
1 answer:
LekaFEV [45]3 years ago
3 0

Step-by-step explanation:

i+h=90

i+3h=210

so 2h=210-90=120

h=60

and i=90-60=30

so initial amount is $30 and hourly rate is $60

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7. (07.05 LC) What is the value of x in the equation −x = 4 − 3x + 6? (5 points) 5 10 −5 −10
Lelechka [254]

Answer:

5

Step-by-step explanation:

-x = 4 - 3x + 6

3x-x = 4 + 6

2x = 10

x = 5

5 0
3 years ago
Read 2 more answers
A railroad track rises 30 feet for every 400 feet of track. What is the measure of the angle of elevation of the track?
gtnhenbr [62]

Answer:

Step-by-step explanation:

Rising 30 feet for every 400 feet of track is not a very large angle of elevation.  We set this up as a right triangle to use right triangle trig to solve for the missing angle.  The height is 30 and the hypotenuse is 400.  The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio.  Setting up the ratio using our info:

sin\theta=\frac{30}{400}

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

sin^{-1}(

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.

3 0
4 years ago
RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly
tatiyna

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

4 0
3 years ago
A machine in a deli cooks hot dogs by rotating them past a heat sourse .one rotation takes 0.75 minutes and it takes 9 minutes t
Virty [35]
I believe it would be 12 because 9 min divided by .75 a rotation gets 12 rotations 
3 0
3 years ago
Which of the following represents a positive number?​
Trava [24]

Answer: OPTION C

Step-by-step explanation:

A positive number must be greater than (>) 0, so lets check which fits this condition.

--------------------------------------------

A.

7.09+(-7.28)=-0.19   NEGATIVE

B.

-12+11.5=-0.5  NEGATIVE

C.

-4.8-(-6.1)=1.3   POSITIVE

D.

-21-(-18.5)=2.5   NEGATIVE

--------------------------------------------

C represents positive number

Hope this helps!! :)

Please let me know if you have any question

3 0
3 years ago
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