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3 years ago

11

Li buys supplies so he can make and sell key chains. He begins to make a profit only after he sells 4 key chains. What point on

the graph makes the most sense in this situation?

1 answer:

lora16 [44]3 years ago

7 0

Answer:

Point A makes most sense

Step-by-step explanation:

We are given four points on the graph:

where x is the number of keychains sold and y is the profit.

A (3, -0.5)

B (3.5, 0.25)

C (2, 0.5)

D (4.5, -3)

According to the condition given that he makes profit only after he sells 4 key chains; only point A makes most sense.

Point A(3, - 0.5) shows that 3 keychains are sold, but there is a loss of 0.5

B (3.5, 0.25) shows that keychains sold are less than 4 but he is getting profit of 0.25 which is not possible according to given condition

Point C(2, 0 .5) is again wrong. Keychains sold are less than 4 but he is makina a profit which goes against the condition.

Point D(4.5, -3) is wrong because the keychains sold are more than 4 but still he is not making a profit which is shown in negative.

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Jai bought a helmet and a pair of skates.

Inga [223]

Answer:

Profit % on skates = 8.7 %

Step-by-step explanation:

<em><u>Step 1 : Find cost price of skates</u></em>

Cost price of helmet = £45

Let cost price of skate be = x

Selling price = £224

Cost price = (x + 45)

Total profit % = 40%

$Profit \% = \frac{Selling \ price - cost \ price }{Cost \ price} \times 100$

$\frac{40}{100} = \frac{224 - (x + 45)}{(x + 45)}\\\\40(x+ 45) = 100(224 - (x +45))\\\\40(x + 45) = 22400 - 100(x + 45)\\\\40(x +45) + 100(x+ 45) = 22400\\\\140(x + 25) = 22400\\\\x + 45 = \frac{22400}{140}\\\\x = 160 - 45 = \£ \ 115$

Total cost price = 45 + 115 = £160

<em><u>Step 2 : Selling price of Helmet</u></em>

Cost price of Helmet = £45

Let selling price of helmet be = y

Profit % of helmet = 120 %

$Profit \% = \frac{selling \ price - cost \ price}{cost \ price}$

$\frac{120}{100} = \frac{y -45}{45}\\\\\frac{120 \times 45}{100} = y -45\\\\54 = y - 45\\\\99 = y$

<em><u>Step 3 : Selling price of skates</u></em>

Total selling = selling price of helmet + selling price of skates

224 = 99 + selling price of skates

224 - 99 = selling price of skates

125 = selling price of skates

<em><u>Step 4 : Profit percentage on skates</u></em>

Cost price of skate = £ 115

Selling price of skate = £ 125

$Profit \% \ on \ skates = \frac{selling\ price- cost \ price }{cost \ price} \times 100$

$= \frac{125-115}{115} \times 100\\\\=\frac{10}{115} \times 100\\\\= 8.7 \%$

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3 years ago

Megan earned $48 working 5 hours Friday afternoon. She has plans to work 3 more hours Saturday morning. Consider this proportion

mestny [16]

Idk maybe read it again to understan better i just want to have 20 characters to complete this answer k bye

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3 years ago

Read 2 more answers

The width of a box in the shape of a rectangular prism is 4 inches more than the height h . The length is the difference of 9 in

Doss [256]

Answer:

$(a)$ $V = -H^3+ 5H^2 + 36H$

$(b)$ $Length = 5in; Width = 9in; Height = 5in$ or $Length = 3in; Width = 10in; Height = 6in$

Step-by-step explanation:

Let:

$W=Width; L = Length; H = Height$

Given

$W = 4 + H$

$L = 9 - H$

Solving (a): The polynomial for the volume in terms of height

Volume (V) is calculated using:

$V = L * W * H$

$V = (9 - H) * (4 + H) * H$

Expand

$V = (9 - H) * (4H + H^2)$

Open brackets

$V = 36H + 9H^2 - 4H^2 - H^3$

$V = 36H + 5H^2 - H^3$

Rewrite as:

$V = -H^3+ 5H^2 + 36H$

Solving (b): The dimensions when Volume = 180

Substitute 180 for V in: $V = -H^3+ 5H^2 + 36H$

$180 = -H^3+ 5H^2 + 36H$

Rewrite as:

$H^3 - 5H^2 - 36H + 180 = 0$

Factorize:

$H^2(H - 5) - 36(H - 5) = 0$

$(H^2 - 36)(H - 5) = 0$

Express $H^2 - 36$ as difference of two squares

$(H - 6)(H + 6)(H - 5) =0$

This gives:

$H - 6 =0==> H = 6$

$H + 6 =0==> H = -6$

$H - 5 =0==> H = 5$

Since the height can not be negative, then H = 5 or H = 6

Recall that:

$W = 4 + H$

$L = 9 - H$

When H = 5

$W = 4 + 5 = 9$

$L = 9 - 5 = 4$

When H = 6

$W = 4 + 6 = 10$

$L = 9 - 6 = 3$

Hence, the dimensions of the box are:

$Length = 5in; Width = 9in; Height = 5in$

or

$Length = 3in; Width = 10in; Height = 6in$

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Mellow Mushroom charges $10 for a pizza, plus $2 per topping. DaVinci's Pizzaria charges $15 for a pizza, plus $1 per extra topp

musickatia [10]

Answer: 5 added to mellow mushroom and 5 added to Davinci’s

Step-by-step explanation:

10+2+2+2+2+2=20

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Answer:

2/7 , 7/13 ,5/9,10/11

Step-by-step explanation:

5/9 , 7/13 , 2/7, and 10/11

5/9 = 0.555

7/13≅ 0.54

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ascending order means from least to greatest:

2/7 , 7/13 ,5/9,10/11

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