4 years ago

You purchase 13 pumpkins for $80.50. Small pumpkins cost $3.50. Large pumpkins cost $7. How many of each did you buy?

Mathematics

1 answer:

svet-max [94.6K]4 years ago

7 0

You bought 3 small pumpkins and 10 large pumpkins

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How to show these 2 problems are inverses

nataly862011 [7]

$\bf \begin{cases}
f(x)=\sqrt[3]{7x-2}\\\\
g(x)=\cfrac{x^3+2}{7}
\end{cases}\\\\
-----------------------------\\\\
now
\\\\
f[\ g(x)\ ]\implies f\left[ \frac{x^3+2}{7} \right]\implies \sqrt[3]{7\left[ \frac{x^3+2}{7} \right]-2}\implies \sqrt[3]{x^3+2-2}
\\\\\\
\sqrt[3]{x^3}\implies x\\\\
-----------------------------\\\\
or
\\\\
g[\ f(x)\ ]\implies g\left[\sqrt[3]{7x-2}\right]\implies \cfrac{\left[\sqrt[3]{7x-2}\right]^3+2}{7}
\\\\\\
\cfrac{7x-2+2}{7}\implies \cfrac{7x}{7}\implies x$

thus f[ g(x) ] = x indeed, or g[ f(x) ] =x, thus they're indeed inverse of each other

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3 years ago

Find the area of the shape shown below.

sergey [27]

Answer:

Triangle ️ wdym if im doing it wrong

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3 years ago

Read 2 more answers

Maya and Mabel are inspecting an 80:1 scale floor plan of their new house. The dimensions of the living room on the scaled floor

AveGali [126]

Answer:

208 ⅓ ft²

Step-by-step explanation:

1⅞ = 15/8 inches ÷ 12

= 5/32 feet on map

Actual = 5/32 × 80

= 25/2 feet

2½ = 5/2 inches ÷ 12

= 5/24 feet on map

Actual = 5/24 × 80 = 50/3

Actual area:

25/2 × 50/3

= 625/3 ft²

= 208 ⅓ ft²

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3 years ago

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3 years ago

What is the value of 1/4m +n 8 - 6 = 12 *

yaroslaw [1]

Answer:

i dont know if you want me to solve for m

Step-by-step explanation:

Let's solve for m.

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3 years ago