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uranmaximum [27]
3 years ago
10

Cecile packages snack mix at a health food store.

Mathematics
2 answers:
Sedaia [141]3 years ago
5 0
Answer:
her supply has 18 pounds

Explanation:
Assume that the number of pounds in her supply is x.
We are given that:
She uses 1/3 x in salted mix and 2/9 x in unsalted mix.
This means that:
Total amount used = 1/3 x + 2/9 x = 5/9 x of her supply

Now, we are also given that:
She used 10 pounds of her supply.
This means that:
5/9 x = 10
5x = 9*10 = 90
x = 18 pounds

Hope this helps :)
BigorU [14]3 years ago
5 0

Answer:

The answer is 18 pounds

Step-by-step explanation:

1/3=6/18 and 2/9=4/18 add these 2 fractions together to get 10/18 therefore she used 10 pounds but had 18 pounds of sunflower seed supply in total. Have a good day:)

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The sum of two numbers is 79. Three
Semmy [17]

Answer:

<u>The two numbers are 23 and 56</u>

Step-by-step explanation:

Let's say the two numbers are A and B.

We are told:

1)  A+B=79

2) 3A+5B=283

Let's take the first expression and solve for A:

A+B=79

A=79-B

Now use this value of A in the second expression:

3A+5B=283

3(79-B)+5B=283

237-3B+5B=283

2B = 46

B = 23

Since B=23, we know from 1) that

A+B=79

A+23=79

A = 56

<u>CHECK:</u>

Does A+B=79?  

        56+23 = 79?  <u>YES</u>

Does 3A+5B=283?

3(56)+5(23)=283

168  + 115 = 283?  <u>YES</u>

7 0
2 years ago
Read 2 more answers
A machine makes 18 parts per hour if the machine work for 24 hourss how many parts will it have made
sweet-ann [11.9K]

Answer:

432 parts

Step-by-step explanation:

24 x 18 = 432

3 0
2 years ago
Evaluate tan ( cos^-1 ( 1/8 ) ) , giving your answer as an exact value (no decimals)
vekshin1

\bf cos^{-1}\left( \cfrac{1}{8} \right)=\theta \qquad \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{8}}\impliedby \textit{let's find the \underline{opposite}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{8^2-1^1}=b\implies \pm\sqrt{63}=b ~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{\pm\sqrt{63}}}{\stackrel{adjacent}{1}} \\\\\\ ~\hspace{34em}


\bf \stackrel{\textit{keeping in mind that}}{tan\left(cos^{-1}\left( \frac{1}{8} \right) \right)}\implies tan(\theta )

5 0
3 years ago
Given that f(x)=x^2+3x-28f(x)=x
spayn [35]

9514 1404 393

Answer:

  x^2 +4x -21

Step-by-step explanation:

Substitute the given expressions and simplify.

  f(x) + g(x)

  = (x^2 +3x -28) +(x +7)

  = x^2 +(3+1)x +(-28 +7)

  = x^2 +4x -21

6 0
3 years ago
Piece-wise defined function<br><br> been having trouble :,)
LekaFEV [45]

Answer:

c.y is the correct answer

Step-by-step explanation:

because its defined in x from the left ×<=1

3 0
3 years ago
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