Ask question

Ask question

All categories

3 years ago

15

Ralph goes out to lunch and receives a bill listing a subtotal of $14.65 and tax of $1.47.Ralph leaves a 20% tip on the total am

ount. Is the tips greater or lesser than the amount charged?

1 answer:

Darina [25.2K]3 years ago

5 0

The tip is greater than the amount charged

You might be interested in

A truck drove at an average rate of 45 miles per hour on the highway and 20 miles per hour once it entered the city. If it took

SIZIF [17.4K]

45 * 1.6 + 20 * 1.4 = 100
72 + 28 = 100
100 = 100

7 0

4 years ago

Read 2 more answers

Which contract costs more per month? An 18 month cable contract for $2070 or a 12 month contract at $1776? Which is the better d

Dafna1 [17]

Answer:

Contract A is cheaper because $115 per month is less than $148 per month

Step-by-step explanation:

To find the unit price we divide the total cost given by the total months given for each contract to find out the cost per month.

$2070/18 months = $115 per month

$1776/12 months = $148 per month

Contract A is cheaper because $115 per month is less than $148 per month

7 0

3 years ago

Find the equation of the straight line with the gradient -2/3 and passing through the point(1,1)

adell [148]

Answer:

y = -2/3 x + 5/3

Step-by-step explanation:

y = mx + b

y = -2/3 x + b

1 = -2/3 × 1 + b

3/3 + 2/3 = b

b = 5/3

y = -2/3 x + 5/3

4 0

2 years ago

What is 3 divided by 1.02

Mamont248 [21]

2.9411764706
but if they're telling you to round, then round (:

6 0

3 years ago

Read 2 more answers

Let H be the set of all polynomials having degree at most 4 and rational coefficients. Determine whether H is a vector space. If

Verizon [17]

Answer:

Yes. It is a vector space over the field of rational numbers $\mathbb{Q}$

Step-by-step explanation:

An element $p$ of the set $H$ has the form

$p(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}$

where $a_{0},a_{1},a_{2},a_{3},a_{4}$ are rational coefficients.

The operations of addition and scalar multiplication are defined as follows:

$p(x)+q(x)=(a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+x_{4}x^4)+(b_{0}+b_{1}x+b_{2}x^{2}+b_{3}x^{3}+b_{4}x^{4})=(a_{0}+b_{0})+(a_{1}+b_{1})x+(a_{2}+b_{2})x^{2}+(a_{3}+b_{3})x^{3}+(a_{4}+b_{4})x^{4}$

$\lambda p(x)=\lambda (a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4})=\lambda a_{0}+\lambda a_{1}x+\lambda a_{2}x^{2}+\lambda a_{3}x^{3}+\lambda a_{4}x^{4}$

The properties that $H$ , together the operations of vector addition and scalar multiplication, must satisfy are:

Conmutativity
Associativity of addition and scalar multiplication
Additive Identity
Additive inverse
Multiplicative Identity
Distributive properties.

This is not difficult with the definitions given. The most important part is to show that $H$ has a additive identity, which is the zero polynomial, that is closed under vector addition and scalar multiplication. This last properties comes from the fact that $\mathbb{Q}$ is a field, then it is closed under sum and multiplication.

7 0

3 years ago