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DerKrebs [107]
2 years ago
6

For a work banquet, Jack can spend no more than $200 on dessert. Fruit pies cost $9 each and cakes cost $20 each. Write the line

ar inequality that models the situation
Graph the inequality.​
Mathematics
1 answer:
harina [27]2 years ago
3 0

Answer:

he could do 20 pies and 1 cake P+C=200$

Step-by-step explanation:

P=pie

P=20

C=cake

C=1

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X = 6

Y = 6

Step-by-step explanation:

y = x = 6

we won’t pay attention to the first equation because this equation says that:   “y = x” and “x = 6”

so, if x = 6, so will be y

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14/7 = 2

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Triangles similar to the same triangle are ______ to each other.
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Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
emmainna [20.7K]

Answer:

Expressions C and D correctly determine the markup price.

Step-by-step explanation:

A markup in mathematics is when an object's price is raised by a certain percentage. Therefore, because we are told that the telescope is originally $400 and is marked up by 32%, we can actually mathematically evaluate this.

When you markup a price, you multiply the original price by 1+x, where x is the percentage at which the object is marked up. However, x needs to be in decimal form for it to work out.

\frac{32}{100} = \small\boxed{0.32}

Therefore, with this new decimal, we can add 1 to it.

1 + 0.32=\small\boxed{1.32}

Finally, we multiply this result by the original price.

1.32 \times 400=\small\boxed{528}

Therefore, we can already confirm that Expression C is one way to find the markup price.

  • We can eliminate expression A because it did not use the formula 1+x. It only uses the decimal form of the percentage.
  • We can eliminate expression B because the division to convert from the percentage form to the decimal form is flawed (the expression divided by 10 instead of 100) and also forgot to add 1 to the determined value.

Now, we can test the math for expressions D and E to see if either of these will equal $528.

Expression D is basically saying to add 32% of 400 to the original price. This would work out because we marked up the original price by 32%. Therefore, we can confirm that Expression D is also an expression that can be used to determine the markup price.

400 + 400(0.32)\\400(0.32) = 128\\400 + 128 = \small\boxed{528}

Finally, we also need to check expression E. This expression is saying to add the already marked up price to 400. This would not be correct.

400 \times 400(1.32)\\400(1.32) = 528\\400 \times 528 = \small\boxed{\$ 211,200}

Therefore, it has been determined that Expression C & Expression D are both equations that will find a markup price.

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