1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rasek [7]
3 years ago
11

Annie works as both a carpenter and a blacksmith. Last week she worked 12 hours as a carpenter and 20 hours as a blacksmith and

earned a total of $860. This week, she worked 6 hours as a carpenter and 26 hours as a blacksmith. Her pay this week was $830. How much does she get paid per hour for each job?
Mathematics
1 answer:
Minchanka [31]3 years ago
6 0

Answer:Let x = pay per hour as a carpenter and y = pay per hour as a blacksmith

Last week she worked 12 hours as a carpenter

earning 12x dollars

and 20 hours as a blacksmith

earning 20y dollars

and earned a total of $860

and those two things add up to 860.

Do the same with the other sentence, giving you a second equation.

Step-by-step explanation:

You might be interested in
The graph of a quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the function’s equ
Harrizon [31]
<h3>Answer: C) -1/2</h3>

==================================

Work Shown:

We will use the general vertex form y = a(x-h)^2+k

(h,k) is the vertex, and the 'a' value stretches or compresses the graph vertically

(h,k) = (-2,18) since the highest point is at (-2,18)

Use either root -8 or 4 to plug into the equation as well. I'll use -8

The root -8 means the point (-8,0) is an x intercept.

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

Plug the values mentioned into the equation below. Then solve for 'a'.

y = a(x-h)^2+k

y = a(x-(-2))^2+18 ... plug in (h,k) = (-2,18)

y = a(x+2)^2+18

0 = a(-8+2)^2+18 ... plug in (x,y) = (-8,0)

0 = a(-6)^2+18

0 = a*36+18

0 = 36a+18

36a+18 = 0

36a = -18 ... subtract 18 from both sides

a = -18/36 .... divide both sides by 36

a = (-1*18)/(2*18)

<h3>a = -1/2</h3>

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

Alternatively, you could use (x,y) = (4,0), instead of (x,y) = (-8,0), and you'll get the same 'a' value as well.  

7 0
3 years ago
Read 2 more answers
5(y–3.8)=4.7(y–4) help help
melomori [17]

Answer:

<h2>y = 2/3 or 0.667</h2>

Step-by-step explanation:

5(y–3.8)=4.7(y–4)

Expand the terms in the bracket

That's

5y - 19 = 4.7y - 18.8

Group like terms

5y - 4.7y = 19 - 18.8

0.3y = 0.2

Divide both sides by 0.3

We have the final answer as

<h3>y = 2/3 or 0.667</h3>

Hope this helps you

7 0
2 years ago
If tan theta = 10/13 and cos theta &gt; 0 then sin2theta is what ?
svetoff [14.1K]

sin2\alpha  = \frac{260}{269}

<u>Step-by-step explanation:</u>

We have , Tan\alpha  = \frac{Perpendicular}{Base} = \frac{10}{13},

We know that sin\alpha  = \frac{Perpendicular}{Hypotenuse} = \frac{Perpendicular}{\sqrt[2]{(Perpendicualr)^{2} + (Base)^{2})} }

Substituting values of P & B , sin\alpha  = \frac{10}{\sqrt{10^{2} + 13^{2}} }  = \frac{10}{\sqrt{269} }

Now , sin2\alpha  = 2sin\alpha cos\alpha  = 2sin\alpha \sqrt{1 - (sin\alpha)^{2} }

⇒sin2\alpha  = \frac{10}{\sqrt{269} } ×\sqrt{1 - (\frac{10}{\sqrt{269} })^{2} }×2

⇒ sin2\alpha  = \frac{20}{\sqrt{269} }( \sqrt{\frac{269 - 100}{269} }  )

⇒sin2\alpha  = \frac{20}{\sqrt{269} }( \sqrt{\frac{169 }{269} }  )

⇒sin2\alpha  = \frac{260}{\sqrt{269} }( \sqrt{\frac{1}{269} }  )

⇒sin2\alpha  = \frac{260}{269}

6 0
3 years ago
A geometric sequence has u4= -70 and u7=8.75<br> Find the second term of the sequence.
Kobotan [32]

Answer:

-122.5

Step-by-step explanation:

Difference = 7 - 4 = 3 terms; 8.75 - (-70) = 78.75

1 term → 78.75/3 = 26.25

therefore, u2 = - 70 - 2(26.25) = -122.5

Topic: Patterns + Common difference

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

5 0
2 years ago
jenny won the ping pong championship eight more times than gerardo. they have won a combined total of 32 championship
Lena [83]
X + x +8 = 32
2x + 8 = 32
2x = 24
x = 12
So gerardo has won 12 and jenny has won 20
3 0
3 years ago
Other questions:
  • What’s the answer to number 12.
    15·1 answer
  • Solve this equation using order and operations:
    10·1 answer
  • Please simplify and show the steps 2(x-5)+6x=
    8·1 answer
  • Show work for 14.28÷4.2
    13·1 answer
  • (-1024x + 27x -6)(1x +2x + 6)
    6·1 answer
  • What is the answer please
    7·1 answer
  • Find the slope (-2,1)and (1,2.5)
    5·1 answer
  • A group of friends is roping off a soccer field in a back yard. A particular full-size soccer field is a rectangle with a length
    14·1 answer
  • Kendra has a painting canvas that is 22 inches wide by 38 inches high. She painted a red rose, which covered 30% of the canvas.
    12·1 answer
  • Select the correct name in the table.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!