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? What is the cost? Write and solve an equation to show your work.

Answers

Answer 1

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where [tex]p[/tex] is pounds and [tex]t[/tex] is total cost:

UPS: [tex]t=7+0.20p[/tex]

FedEx: [tex]t=5+0.30p[/tex]

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

[tex]7+0.20p=5+0.30p[/tex]

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is  [tex]0.20x[/tex]. That would turn the equation into:

[tex]7=5+0.10p[/tex]

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

[tex]2=0.10p[/tex]

Now, you must divide both sides by [tex]0.10[/tex].

[tex]\frac{2}{0.10}=\frac{0.10p}{0.10}[/tex]

That would give us:

[tex]20=p[/tex]

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

[tex]t=5+0.30(20)[/tex]

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: [tex]t=11[/tex].

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.


Related Questions

-4<-2(3x+9)+5<1 Please help

Answers

Answer: if ur looking for interval notation its (-7/3,-3/2) ; if ur solving for x then its -7/3<x<-3/2

Step-by-step explanation:

1/2n+3=6 solve for n​

Answers

Answer:

i think this is your ans

mark as brainliest

plezzz.....

Answer:

If you meant (1/2)*n+3=6, n=6. If you meant 1/(2*n)+3=6, n=1/3.

P.s.

Please give me brainliest for my next rank

A phone call cost 7 for 2 minutes ___ per minute

Answers

Answer:

3.5

Step-by-step explanation:

7÷2 hope this helps

Given that MQL =180° and XQR = 180°, which equation could be used to solve problems involving the relationships
between XQL and MQR?

A.(146-4b)=(122-1b)
B. (146-4b)+(122-1b)=180
C(146-4b)-(122-1b)=180
D.(122-1b)-180=(146-4b)

Answers

Answer:

Option A is the right answer.

146-4b = 122-1b

Reason: vertical angles

Answer:

a

Step-by-step explanation:

I need to write this in standard form

Answers

Answer:

10f+7g-9

Step-by-step explanation:

(10f-6+5g)-(-2g+3)

(10f-6+5g)+(2g-3)

(10f)+(5g+2g)+(-6-3)

10f+7g-9

the relationship between NP and PQ if point P is midpoint of NQ

Answers

Answer:

NP=PQ

Step-by-step explanation:

p is MIDpoint of NQ so basically distance of N to P is equal to distance of P to Q

The relationship between NP and PQ if point P is the midpoint of NQ is:

- NP + PQ = NQ

- 1/2 x NQ = NP = PQ  

Given,

P is the midpoint of NQ.

We need to find the relationship between NP and PQ if point P is the midpoint of NQ

What does it mean to have a midpoint?

The midpoint between two points in a line always divides the line into two equal parts.

The sum of the divided parts is always equal to the original line.

Half of the original line is equal to each part.

Example:

A_____B_____C

B is the midpoint.

We have,

AC = AB + BC

1/2 x AC = AB = BC

We have,

P is the midpoint of NQ

Now,

N______P______Q

Since P is the midpoint we can say that,

NP + PQ = NQ

And,

1/2 x NQ = NP = PQ  

Thus the relationship between NP and PQ if point P is the midpoint of NQ is:

- NP + PQ = NQ

- 1/2 x NQ = NP = PQ  

Learn more about the midpoint of a line here:

https://brainly.com/question/28224145

#SPJ2

Simplify the expression

Answers

Answer: 7c + 2

Step-by-step explanation:

Combine like terms hope this helps

the question is in the screenshot

Answers

Answer:

The difference in cost per mile is $0.94.

Step-by-step explanation:

Uber

7x = 20.37

x = $2.91 per mile

Lyft

4y = 15.4

y = $3.85 per mile

3.85 - 2.91 = 0.94

Hello.

To find the difference in cost per mile, divide the cost by the amount of miles, then subtract the two answers.

20.37 / 7 = 2.91 (cost per mile {cpm} for Uber)

15.40 / 4 = 3.85 (cost per mile {cpm} for Lyft)

3.85 - 2.91 = 0.94

The difference in cost per mile is $0.94

What is the value of x in the equation x+12 over 4 =6

Answers

Answer:

x=12

Step-by-step explanation:

first remove the four by multiplying it and then cancel out the 12 as well to get 12 as an answer. double check by replacing x with 12 and see if it equals 6.

Slope (4,5)
Y-intercept b=172

What is the equation?

Answers

Answer:

y= 4/5 + 172

Step-by-step explanation:

this equation is in slope intercept form which is y= mx +b

PLEASE HELP I CANT FIGURE THIS OUT!!

Answers

Answer:

C

Step-by-step explanation:

I worked it out and it's right. plz give me brainliest owo

Answer:

C) 6^6

Step-by-step explanation:

When we divide same base numbers with different exponents, the answer will be the base raised to the power of the difference of those exponents:

The rule is: x^a/x^b=x^(a-b)

In this case: 6^9/6^3=6^(9-3)=6^6=46656

Therefore, C is the correct answer

Please help me n with this question

Answers

Answer:

yes

Step-by-step explanation:

Pls help Question is below.

Answers

i got 2.7 by dividing 12.15 by 4.5 but im not 100% sure if thats it

Harry's dog weighs 10 3/8 pounds. What is the weight of Harry's dog written as a decimal?

Answers

Answer:

10.375

Step-by-step explanation:

You can tell that 10 is going to be before the decimal because it's already a whole number, so all you have to do is figure out what 3/8 is as a decimal! In case you didn't know, to change a fraction to a decimal, you divide the numerator (the top number) by the denominator (the bottom number). In this case, you need to divide 3, the numerator, by 8, the denominator. 3/8 = 0.375.

So, put the 10 in front of the decimal point and you're done...the answer would be 10.375!

Have great day :3

PLEASE HELP ILL GIVE 37 POINTS!!!!!!! Instructions: Complete each question by choosing or typing in the best answer.



1)

What is the sum of 14 and the opposite of 12?

A) -26

B) -2

C) 2

D) 26

2) Determine the distance between -7 and 7.

A) -14 units

B) 0 units

C) 7 units

D) 14 units

3)
A football player caught the ball and made a gain of 8 yards on the first play. On the next play the team lost 12 yards. How many yards do they need to gain on the next play to get back to their original position?

A) 4
B) 6

C) 8

D) 12

5)
On Monday morning the temperature was 38°F, but by the afternoon the temperature had risen 22°F. On Tuesday morning the temperature had dropped 27°F since Monday afternoon, but then rose 10°F by the noon. How many degrees above or below 38°F is the temperature on Tuesday at noon?

A) 5°F below

B) 5°F above

C) 12°F below

D) 12°F above

Answers

Answer:

1 - C)2 - D)3 - A)5 - B)

Step-by-step explanation:

1) =========================

14 + (-12) = 14 - 12 = 2Option C)

2) =========================

7 - (-7) = 7 + 7 = 14Option D)

3) =========================

8 + (-12) = 8 - 12 = - 4- 4 + 4 = 0Option A)

5) =========================

22 - 27 + 10 = 5Option B)

Answer:

1.) C

2.) C

3.) A

5.) B

Step by-step explanation:

1.) because 14 is positive and the opposite of 12 is -12. So 14+-12=2!

2.) to get to 7 from -7 you would have to take 7 units to get there.

3.)Given that a football player caught the ball and made a gain of 8 yards on the first play. On the next play the team lost 12 yards.we are to find the number of yards needed to gain on the next play to get back to their original position.Let, x be the number of yards that the team had originally.On the next play, the team lost 12 yards, let 'k' be the number of yards  needed to gain on the next play to get back to their original position.Thus, the number of yards needed to gain on the next play to get back to their original position is 4.

5.) We have been given that on Monday morning the temperature was 38°F, but by the afternoon the temperature had risen 22°F. We are also told that on Tuesday morning the temperature had dropped 27°F since Monday afternoon.Since the temperature rose  by the Tuesday noon, so temperature by Tuesday noon will be 10 degrees greater than temperature by Tuesday morning.To find the number of degrees temperature is above or below 38°F on Tuesday at noon we will subtract 38°F from the temperature on Tuesday at noon. Since the difference between temperature is positive, therefore, the temperature on Tuesday at noon was 5 above .

Hoped this helped!

x/7+x-2/14=1/7
Please answer x as a fraction!

Answers

Answer:

x = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{7}[/tex] + x - [tex]\frac{2}{14}[/tex] = [tex]\frac{1}{7}[/tex]

Multiply through by 14 to clear the fractions

2x + 14x - 2 = 2 ( add 2 to both sides )

16x = 4 ( divide both sides by 16 )

x = [tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]

The hu family goes out for lunch, and the price of the meal is $57. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?

The total cost of the meal is $

Answers

Answer:

$69.54

Step-by-step explanation:

$57 x  .07 =3.99

($57 x .15)= 8.55

8.55+3.99 +57=$69.54

Find the Slope!!Giving brainliest!!

Answers

Answer:

3/2

Step-by-step explanation:

Find (x+y)^2 when (x-y)=5 and xy=24
Formula:
(a+b)^2 -(a-b)^2 =4ab
(7)

Answers

Answer:

(x + y)² = 121

Step-by-step explanation:

Using the identity

(x + y)² - (x - y)² = 4xy , then

(x + y)² - 5² = 4(24) , that is

(x + y)² - 25 = 96 ( add 25 to both sides )

(x + y)² = 121

The answer is 121 there u go

2. Jacob deposited $6,000 into an account that offers 4.5% interest compounded annually.
He makes no additional deposits or withdrawals.
Which amount is closest to the interest Jacob will have earned at the end of 10 years?
A $9,317.82
B $270.00
C $3,317.82
D $2,700.00

Answers

Answer: a

Step-by-step explanation:

the area of an equilateral triangle with Side 2 cm is​

Answers

Answer:

Here side(a) = 2 cm. = (√3/4) (2)². = (√3/4) x (2) x (2). = (√3). = √3 cm².

Step-by-step explanation:

Answer:

A = √3 cm²

Step-by-step explanation:

Hi there !

use formula for area of equilateral triangle

[tex]A=\frac{s^{2} \sqrt{3}}{4}[/tex]

s = side

A = (2cm)²√3/4

= 4√3cm²/4

= √3 cm²

Good luck !

(9,3) and (-4,-7) whats the slope

Answers

Answer:

10/13

Step-by-step explanation:

-7-(3)

----------

-4-(9)

The answer is 10/14.....................

Write an equation for a line that is parallel to y = -4x + 2 and passes through the point (-2, 5).

Answers

Answer:

y = -4x - 3

Step-by-step explanation:

y = -4x + 2

Substitue Y and X and turn 2 into b(or y intercept)

5 = -4(-2) + b

Solve for b

5 = 8 + b: subtract 8 from both sides

-3 = b

substitute for 2 with same slope(to keep parrallel)

y = -4x - 3

Enter an expression that represents the following statement, and then solve the expression. 4 less than the product of 7 and -14. The expression is The value of the expression is.....​

Answers

Answer:

(7*-14)-4

Step-by-step explanation:

Answer:

7(-14) - 4 = x

-98-4=x

-102=x

Use the function f(x) = 4x – 3 to determine g(x) if
g(x) = f(x) + 5

Answers

Answer:

g(x) = 4x + 2

Step-by-step explanation:

g(x) = f(x) + 5 = 4x - 3 + 5 = 4x + 2

Help me with them all

Answers

Answer:

Angles 1, 3, 5, 7, 9, 11 are going to be 100 degrees

Angles 4, 2, 8, 6, 12, 10 are going to be 80 degrees.

Step-by-step explanation:

We know when there are 2 parallel lines we have vertical angles.

In a video game, you earn 7 points for each apple you find. You earn 10 points for each orange you find. find the equation that represents the number of apples (x) and oranges (y) you must find to earn 400 points.

Answers

Answer:

[tex]7x + 10y = 400[/tex]

Find the coordinates of H if X(-8, 4) is the midpoint of GH and G(2, -9).

Answers

Step-by-step explanation:

Hey there!

The given midpoint is; X(-8,4) and G(2,-9).

To find: H

Now; You need to use formula for midpoint.

[tex]midpoint(x) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Put all values.

[tex]( - 8,4) = (\frac{ 2 + x}{2} , \frac{ - 9 + y}{2} )[/tex]

As they are equal, their corresponding elements are equal.

[tex] - 8 = \frac{2 + x}{2} [/tex]

[tex] - 16 - 2 = x[/tex]

x = -18

[tex]4 = \frac{ - 9 + y}{2} [/tex]

[tex]4 \times 2 = - 9 + y[/tex]

[tex]8 + 9 = y[/tex]

[tex]y = 17[/tex]

Therefore, y = 17.

Therefore, H =( -18,17).

Hope it helps....

Answer:

(-18, 17)

Step-by-step explanation:

Given Line segment GH with midpoint X(-8, 4) and G(2, -9)To findCoordinates of H(x, y)Solution

Using midpoint formula

(2 + x)/2 = -8 ⇒ x + 2 = -16 ⇒ x = -18(-9 + y)/2 = 4 ⇒ y - 9 = 8 ⇒ y = 17

So the coordinates of H are

(-18, 17)

Anyone have an idea?

Answers

Answer:

yes I have an idea jnhvhbvcf

Answer:  option C.)   an 1.2 (n-1) -5  Sorry, no subscript for "a sub n"

Step-by-step explanation:

Substitute the values of n 1,2,3,4 and see if the output is the corresponding number in the sequence.

n = 1      2     3      4

   -5   -3.8  -2.6  -1.4

an=  1.2 (n-1) -5    the n-1 needs to be a number multiplied  by 1.2 produces a number added to -5 results in the number in the sequence.

a1=1.2(1-1) -5   a= 1.2(0) -5  a= -5

a2 1.2 (2-1) -5   a= 1.2(1) -5  a= -1.2 -5  a= -3.8

a3 1.2 (3-1) -5   a= 1.2(2) -5  a= -2.4 -5  a= -2.6

a4 1.2 (4-1) -5   a= 1.2(3) -5  a= -3.6 -5  a= -1.4

A screwdriver is dropped from the top of an elevator shaft. Exactly 6.0 seconds later, the sound of the screwdriver hitting bottom is heard. How deep is the shaft? Hint: The distance that a dropped object falls in t seconds is represented by the formula s = 16t2. The speed of sound is 1100 ft/sec. The shaft is approximately (Round to the nearest tenth.) | feet deep.

Answers

Answer:

Step-by-step explanation:

Using the equation of motion

S = ut+1/2gt²

S is the height of fall

g is the acceleration due to gravity = 9.81m/s²

u is the initial velocity = 0m/s

t is the time = 6s

Substitute in the formula;

S = 0+1/2(9.81)×6²

S = 4.905×36

S = 176.58m

The shaft is 176.58m deep

Given the expression for distance

S = 16t²

Velocity V = dS/dt

V = 32t

Given v = 1100

1100 = 32t

t = 1100/32

t = 34.375secs

Substitute t = 34.375 into S = 16t²

S = 16(34.375)²

S = 18,906.25ft

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