Write the equation of the line that is parallel to the line y=3x+7 and passes through the

when the wimen sells 90 oranges Rs160 with dicount of 20%,how many oranges she sell by Rs112 with profit of 20%

Fynjy0 [20]

She sold 42 oranges with profit 20%

Step-by-step explanation:

The woman sells 90 oranges by RS.160

This price with discount of 20%

We need to find how many oranges she sell by Rs.112 with profit of 20%

Selling price = cost price - discount ⇒ discount case
Selling price = cost price + profit ⇒ profit case

Assume that cost price of an orange is x

∵ She sells 90 oranges with Rs.160

- Find the selling price of 1 orange by dividing 160 by 90

∴ The selling price of an orange = $\frac{160}{90}=\frac{16}{9}$

∵ She sold them with discount 20%

∵ The cost price of an orange is x

- Find the 20% of x

∵ Discount = 20% × x = $\frac{20}{100}$ × x = 0.2x

- To find the selling price subtract 0.2x from x

∴ The selling price = x - 0.2x

∴ The selling price of an orange = 0.8x

- Equate 0.8x by $\frac{16}{9}$ to find x

∵ 0.8x = $\frac{16}{9}$

- Divide both sides by 0.8

∴ x = $\frac{20}{9}$

Assume that the number of oranges is y

∵ She sell y oranges for Rs.112 with profit 20%

∵ The cost price of an orange is $\frac{20}{9}$

- Find 20% of $\frac{20}{9}$

∵ Profit = 20% × $\frac{20}{9}$ = $\frac{20}{100}.\frac{20}{9}=\frac{4}{9}$

- Add $\frac{4}{9}$ to cost price to find the selling price

∴ The selling price of an orange = $\frac{20}{9}$ + $\frac{4}{9}$

∴ The selling price of an orange = $\frac{24}{9}$

- To find y divide 112 by selling price of an orange

∵ y = 112 ÷ $\frac{24}{9}$

∴ y = 42

She sold 42 oranges with profit 20%

Learn more:

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4 0

3 years ago

For each part, give a relation that satisfies the condition. a. Reflexive and symmetric but not transitive b. Reflexive and tran

Vesnalui [34]

Answer:

For the set X = {a, b, c}, the following three relations satisfy the required conditions in (a), (b) and (c) respectively.

(a) R = {(a,a), (b,b), (c, c), (a, b), (b, a), (b, c), (c, b)} is reflexive and symmetric but not transitive .

(b) R = {(a, a), (b, b), (c, c), (a, b)} is reflexive and transitive but not symmetric .

(c) R = {(a,a), (a, b), (b, a)} is symmetric and transitive but not reflexive .

Step-by-step explanation:

Before, we go on to check these relations for the desired properties, let us define what it means for a relation to be reflexive, symmetric or transitive.

Given a relation R on a set X,

R is said to be reflexive if for every $a \in X, (a,a) \in R$ .

R is said to be symmetric if for every $(a, b) \in R, (b, a) \in R$ .

R is said to be transitive if $(a, b) \in R$ and $(b, c) \in R$ , then $(a, c) \in R$ .

(a) Let R = {(a,a), (b,b), (c, c), (a, b), (b, a), (b, c), (c, b)}.

Reflexive: $(a, a), (b, b), (c, c) \in R$

Therefore, R is reflexive.

Symmetric: $(a, b) \in R \implies (b, a) \in R$

Therefore R is symmetric.

Transitive: $(a, b) \in R \ and \ (b, c) \in R$ but but (a,c) is not in R.

Therefore, R is not transitive.

Therefore, R is reflexive and symmetric but not transitive .

(b) R = {(a, a), (b, b), (c, c), (a, b)}

Reflexive: $(a, a), (b, b) \ and \ (c, c) \in R$

Therefore, R is reflexive.

Symmetric: $(a, b) \in R \ but \ (b, a) \not \in R$

Therefore R is not symmetric.

Transitive: $(a, a), (a, b) \in R$ and $(a, b) \in R$ .

Therefore, R is transitive.

Therefore, R is reflexive and transitive but not symmetric .

(c) R = {(a,a), (a, b), (b, a)}

Reflexive: $(a, a) \in R$ but (b, b) and (c, c) are not in R

R must contain all ordered pairs of the form (x, x) for all x in R to be considered reflexive.

Therefore, R is not reflexive.

Symmetric: $(a, b) \in R$ and $(b, a) \in R$

Therefore R is symmetric.

Transitive: $(a, a), (a, b) \in R$ and $(a, b) \in R$ .

Therefore, R is transitive.

Therefore, R is symmetric and transitive but not reflexive .

4 0

3 years ago

The area of a rectangular wall of a barn is 54 feet. It’s length is 12 feet longer than twice it’s width. Find the length and wi

matrenka [14]

Answer:the width is 3 feet

Step-by-step explanation:

6 0

2 years ago

A pizza delivery driver receives a bonus if she delivers a pizza to a customer in 30 minutes, plus or minus seven minutes. Write

Snezhnost [94]

Answer:

Please, see the attached file.

Step-by-step explanation:

Please, see the attached graph.

Thanks.

4 0

3 years ago

PLSSS HELP What is the formula for the following arithmetic sequence? -2, 3, 8, 13, ... an = -2n + 3 an = -2n + 7 an = 5n + 3 an

san4es73 [151]

Answer:

an = 5n -7

Step-by-step explanation:

Try the offered formulas with n= 1 and see which gives you the first term of the sequence.

an = -2n +3

-2(1) +3 = 1 . . . . not -2

an = -2n +7

-2(1) +7 = 5 . . . . not -2

an = 5n +3

5(1) +3 = 8 . . . . not -2

an = 5n -7

5(1) -7 = -2 . . . . this is the formula you want

_____

If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.

7 0

3 years ago