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agasfer [191]
4 years ago
15

UPS charges 7$ for the first pound, and $0.20 for each additional pound.FedEx charges 5$ for the first pound and $0.30 for each

additional pound.How many pounds,p,will it take for UPS and FedEx to cost the same
Mathematics
1 answer:
In-s [12.5K]4 years ago
3 0

It will take 21 pounds for UPS and FedEx to cost the same

Step-by-step explanation:

There are two options

1. UPS charges 7$ for the first pound, and $0.20 for each

   additional pound

2. FedEx charges 5$ for the first pound and $0.30 for each

    additional pound

We need to find for how many pounds "p" it will take for UPS and

FedEx to cost the same

∵ P is the number of pounds

∴ The number of pounds after the first pound = p - 1

In UPS

∵ The cost of the first pound is $7

∵ The cost of each additional pound is $0.2

∴ The cost in UPS = 7 + 0.2(p - 1)

- Simplify it

∴ The cost in UPS = 7 + 0.2(p) + 0.2(-1)

∴ The cost in UPS = 7 + 0.2p - 0.2

∴ The cost in UPS = 0.2p + 6.8 ⇒ (1)

In FedEX

∵ The cost of the first pound is $5

∵ The cost of each additional pound is $0.3

∴ The cost in FedEX = 5 + 0.3(p - 1)

- Simplify it

∴ The cost in FedEX = 5 + 0.3(p) + 0.3(-1)

∴ The cost in FedEX = 5 + 0.3p - 0.3

∴ The cost in FedEX = 0.3p + 4.7 ⇒ (2)

Equate (1) and (2) ⇒ the costs of the two options

∵ 0.2p + 6.8 = 0.3p + 4.7

- Subtract 0.2p from both sides

∴ 6.8 = 0.1p + 4.7

- Subtract 4.7 from both sides

∴ 2.1 = 0.1p

- Divide both sides by 0.1

∴ p = 21 pounds

It will take 21 pounds for UPS and FedEx to cost the same

Learn more:

You can learn more about the word problems in brainly.com/question/13101704

#LearnwithBrainly

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Molodets [167]

Answer:

Step-by-step explanation:

For X=-2,

Y= 3x-1

Y= 3(-2) -1

Y= -6-1. = -7.

For X= 1

Y= 3(1)-1

Y= 3-1= 2

For X= 0

Y= 3(0)-1

Y= 0-1 = -1

For X= 1

Y= 3(1)-1

Y= 3-1= 2

6 0
3 years ago
Tyler orders a meal that costs $15.
olganol [36]
The answer is 69 dollars and the titian would be 69 dollas
6 0
3 years ago
EXPENSES: Camille has no more than $50.00 to spend each week for lunch and bus fare. Lunch costs $3.00 each day, and bus fare is
Afina-wow [57]

Answer:

Inequality: 3.00 L + 1.75B \leq 50

She can afford to buy the lunch and bus rides

Step-by-step explanation:

Given

Maximum\ Amount = \$50.00

Lunch = \$3.00 daily

Bus\ Fare = \$1.75 daily

Solving (a) The inequality

Let bus ride be represented with B and Lunch be represented with L

If 1 bus ride costs $1.75, then

B bus ride would cost $1.75 * B

If 1 lunch costs $3.00, then

L lunch would cost $3.00 * L

Total Spending is then the sum of the above expression i.e.

$3.00 * L + $1.75 * B

The question says Camille can not spend more than $50.00.

This is represented by less than or equal to.

So, the expression is:

3.00 * L + 1.75 * B \leq 50

3.00 L + 1.75B \leq 50

Solving (b): Can she afford 7 lunch and 14 bus ride?

To do this, we simply substitute 7 for L and 14 for B

3.00 * 7 + 1.75 * 14 \leq 50

21 + 24.5 \leq 50

45.5 \leq 50

The above inequality is true.

<em>Hence, she can afford to buy the lunch and bus rides</em>

8 0
3 years ago
If the triangle were reflected across the x-axis, then translated four units to the left,
Tems11 [23]

When the triangle is reflected across the x-axis, then point B would be (6, -6), but when it's also translated four units to the left, it will be (2, -6).

When you reflect something across an axis, then a point you recall will have the x or y value have the opposite sign (i.e. 6 would become -6 across the x-axis and vice versa).

When you translate something across the graph, you are adding to the x value when shifting to the right, subtracting from the x value when shifting to the left, adding to the y value when shifting upward, and subtracting from the y value when shifting downward.

∴, B = (2, -6).

3 0
3 years ago
There are four movies showing at the theater, 2/5 of the people bought tickets for the comedy, 1/4 bought tickets for the horror
RUDIKE [14]

Given:

Number of people bought tickets for comedy = \frac{2}{5}

Number of people bought tickets for horror = \frac{1}{4}

Number of people bought tickets for kids movie = \frac{3}{10}

To find the number of people who bought tickets for the action movie.

Let us take,

Total number of tickets = 1

Now,

Total number of tickets for comedy, horror and kids movie are = (\frac{2}{5} +\frac{1}{4} +\frac{3}{10} )

So,

(\frac{2}{5} +\frac{1}{4} +\frac{3}{10} )

LCM of 5,4,10 = 20

= \frac{8+5+6}{20}

= \frac{19}{20}

Rest are action movie's tickets.

Therefore,

Number of action movie tickets = 1-\frac{19}{20}

= \frac{20-19}{20}

= \frac{1}{20}

Hence,

The number of people who bought the tickets for action movie is \frac{1}{20}.

7 0
4 years ago
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