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3 years ago

So, for context my teacher said it's C but I don't understand how the slope is negative.

Mathematics

1 answer:

Lelechka [254]3 years ago

6 0

the answer is:

A. slope: 9, y-intercept: -6

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) Tara earns twice as much per hour as Kayte.

Cerrena [4.2K]

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

Tara's hourly wage is x.

Kayte's hourly wage is y.

Austin's hourly wage is z.

Tara earns twice as much per hour as Kayte.

This means that $x = 2y$

Kayte earns $3 more per hour than Austin.

This means that $y = z + 3$

As a group, they earn $41 per hour.

This means that $x + y + z = 41$

What is Austin's hourly wage?

This is z.

$x + y + z = 41$

$y = z + 3$ and $x = 2y$ , so $x = 2(z + 3) = 2z + 6$

$x + y + z = 41$

$2z + 6 + z + 3 + z = 41$

$4z + 9 = 41$

$4z = 32$

$z = \frac{32}{4}$

$z = 8$

Austin's hourly wage is $8.

5 0

3 years ago

Read 2 more answers

Jack is a farmer and he wants to know the average weight of all the potatoes in a sack. He randomly selects 10 potatoes and weig

Maurinko [17]

Jack should remove the maximum and minimum weight potatoes from the average weight of the potatoes to compensate for the extremes. Therefore, we are left with a data set of:
8, 9, 11, 7, 7, 8, 9, 7; so n = 8
The sum of these is 66
The average weight of each potato is:
66/8
= 8 ounces

7 0

3 years ago

WILL GIVE BRAINLIEST write an equation for the nth term of the arithmetic sequence and find the 30th term 28, 25, 22, 19, ... (s

Fudgin [204]

Answer:

$a_n = 31 - 3n\\\\a_{30}= 59$

Step-by-step explanation:

Given Arithmetic sequence is:

28, 25, 22, 19, ...

a = 28, d = 25 - 28 = - 3,

nth term of an Arithmetic sequence is given as:

$a_n = a + (n - 1) d\\$

Plugging a = 28 & d = - 3 in the above equation, we find:

$a_n = 28 + (n - 1) (-3)\\\\a_n = 28 - 3n +3\\\\\huge\purple {\boxed {a_n = 31 - 3n}} \\(This \:is \:the \:required \:equation) \\\\Plug \: n = 30, \: we \: find:\\\\a_{30}= 31 - 3 \times 30\\\\a_{30}= 31 - 90\\\\\huge\orange {\boxed {a_{30}= 59}} \\\\$

7 0

3 years ago

I am a 3-digit odd number that has a 3 in the hundreds place, is divisible by 7, but is not divisible by 5, and has no ones or s

qaws [65]

One of the numbers is 399.
It is an odd number that has neither a 1 or a seven, is not divisible by 5 and has a three in the hundreds place.

Another number is 329 which meets all of the requirements. 7 goes into it 47 times

The last number is 343. Seven goes into it 49 times.

Hope this Helps!

3 0

3 years ago

Find the GCF of 30, 60, and 78.

Sloan [31]

The greatest common factor is six.

6 0

3 years ago

Read 2 more answers

So, for context my teacher said it's C but I don't understand how the slope is negative.​

So, for context my teacher said it's C but I don't understand how the slope is negative.