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SpyIntel [72]
3 years ago
15

Bags of almonds cost three dollars more than bags of pecans the owner of a bakery ordered five bags of almonds and three bags of

pecans the total cost of the order was $55 how much is a bag of almonds cost if a represent almonds which equation represents the situation
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
6 0

Answer:

Let bags of pecans cost = x

Make an equation :

Bags of almonds cost = x + 3 (they said almonds cost 3 dollars more)

Total number of bags ordered: (3 bags pecans) + (5 bags of almonds)

Cost for pecans = 3x

Cost for almonds = 5(x + 3) = 5x + 15

Price of pecans + price of almonds = total cost

Solve for x:

3x + 5(x + 3) = 55 (remove brackets)

3x + 5x + 15 = 55 (add like terms)

8x + 15 = 55

8x + 15 - 15 = 55 - 15 (get rid of the 15)

8x = 40

8x/8 = 40/8

x = 5

bags pecans cost is $5

bags of almonds is $5+$3 = $8

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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 7 grams and the amo
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If h(x) = (f o g)(x) and h(x) = ∛7x+1, find f(x) and g(x)
Mariana [72]
There's more than one way to combine them really
but an obvious one will be

\bf \begin{array}{llll}
h(x)&=&(f\circ g)(x)\\\\
&&\sqrt[3]{7x+1}\\\\
&&\sqrt[3]{g(x)}\leftarrow 
\begin{array}{llll}
f(x)=\sqrt[3]{x }\\\\
g(x)=7x+1
\end{array}
\end{array}\\\\
-----------------------------\\\\
(f\circ g)(x)\iff f[\quad g(x)\quad ]=\sqrt[3]{g(x)}\implies  f[\quad g(x)\quad ]=\sqrt[3]{7x+1}
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