Ask question

Ask question

All categories

3 years ago

6

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

1 answer:

Zigmanuir [339]3 years ago

7 0

Answer:

The answer is 20 pounds.

Step-by-step explanation:

Let p represent the number of pounds.

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.

To know the number of pounds it will take for UPS and FedEx to cost the same, we will equal both the equations.

=>

=>

=> p = 20

Hence, it will take 20 pounds to make both equal.

You might be interested in

Bethany is baking cookies for her school's bake sale. She plans to bake more than 185 cookies, in batchs or 12 cookies. so far,

Aleks [24]

Answer:

48+12b≥185

Step-by-step explanation:

Inequality: 48+12b≥185

Why? she has already backed 48 cookies so you just need to find how many more she needs to bake. (she doesn't need 185 cookies anymore since she's already baked 48)

You don' t need to solve the question,

But here is how you do...

12b≥137

b≥11.42 (roughly)

5 0

3 years ago

A youth soccer field is a rectangle 110 yards long and 60 yards wide. A professional soccer field is a rectangular 110 yards lon

Ksivusya [100]

Answer:

2200 Square Yards

Step-by-step explanation:

Dimension of the Youth Soccer Field = 110 yards long and 60 yards wide.

Therefore Area of the Youth Soccer Field = 110 X 60 =6600 Square Yards

Dimension of the professional soccer field =110 yards long and 80 yards wide.

Area of the professional soccer field = 110 X 80 =8800 Square Yards

The difference in their Area = 8800-6600=2200 Square Yards

Therefore, the professional soccer field has an area of 2200 Square Yards more than the youth soccer field.

4 0

3 years ago

What is the converse of the statement if p,then q

WINSTONCH [101]

Answer:

If q, then p

Step-by-step explanation:

The given conditional statement is "If p, then q"

We want to find the converse of this conditional statement.

The converse is formed by switching the hypothesis (p) and the conclusion (q).

Therefore the converse of the given conditional is "If q, then p"

4 0

3 years ago

For the cost function c equals 0.1 q squared plus 2.1 q plus 8, how fast does c change with respect to q when q equals 11? Det

Soloha48 [4]

Answer:

Rate of change of c with respect to q is 4.3

Percentage rate of change c with respect to q is 9.95%

Step-by-step explanation:

Cost function is given as, $c=0.1\:q^{2}+2.1\:q+8$

Given that c changes with respect to q that is, $\dfrac{dc}{dq}$ . So differentiating given function,

$\dfrac{dc}{dq}=\dfrac{d}{dq}\left (0.1\:q^{2}+2.1\:q+8 \right)$

Applying sum rule of derivative,

$\dfrac{dc}{dq}=\dfrac{d}{dq}\left(0.1\:q^{2}\right)+\dfrac{d}{dq}\left(2.1\:q\right)+\dfrac{d}{dq}\left(8\right)$

Applying power rule and constant rule of derivative,

$\dfrac{dc}{dt}=0.1\left(2\:q^{2-1}\right)+2.1\left(1\right)+0$

$\dfrac{dc}{dt}=0.1\left(2\:q\right)+2.1$

$\dfrac{dc}{dt}=0.2\left(q\right)+2.1$

Substituting the value of $q=11$ ,

$\dfrac{dc}{dt}=0.2\left(11\right)+21.$

$\dfrac{dc}{dt}=2.2+2.1$

$\dfrac{dc}{dt}=4.3$

Rate of change of c with respect to q is 4.3

Formula for percentage rate of change is given as,

$Percentage\:rate\:of\:change=\dfrac{Q'\left(x\right)}{Q\left(x\right)}\times 100$

Rewriting in terms of cost C,

$Percentage\:rate\:of\:change=\dfrac{C'\left(q\right)}{C\left(q\right)}\times 100$

Calculating value of $C\left(q \right)$

$C\left(q\right)=0.1\:q^{2}+2.1\:q+8$

Substituting the value of $q=11$ ,

$C\left(q\right)=0.1\left(11\right)^{2}+2.1\left(11\right)+8$

$C\left(q\right)=0.1\left(121\right)+23.1+8$

$C\left(q\right)=12.1+23.1+8$

$C\left(q\right)=43.2$

Now using the formula for percentage,

$Percentage\:rate\:of\:change=\dfrac{4.3}{43.2}\times 100$

$Percentage\:rate\:of\:change=0.0995\times 100$

$Percentage\:rate\:of\:change=9.95%$

Percentage rate of change of c with respect to q is 9.95%

7 0

3 years ago

Math help please??????!!!!!!!!!

natali 33 [55]

$2 \times (8 \times 1 + 1 \times 1 + 1 \times 1) = 20$

The total surface area is 20

7 0

3 years ago

Read 2 more answers