An item costs $4 before tax and $4.32 after sales tax. What is the sales tax rate?

Write the standard form of the equation of a line if the point on the line nearest to the origin is at (6, 8).

Alchen [17]

Answer:

$\large\boxed{y=\dfrac{4}{3}x}$

Step-by-step explanation:

The line passes through the origin has an equation y = mx

m - slope

The formula of a slope of a line passes through the origin

and a point (x, y):

$m=\dfrac{y}{x}$

We have the point (6, 8). Substitute:

$m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}$

Finally:

$y=\dfrac{4}{3}x$

4 0

2 years ago

The pool at "splash around" is open for 14 weeks during the summer. you can swim for $6 a session, or you can buy a membership f

Ratling [72]

Let

x--------> the number of sessions

y-------> the total payment

we know that

without membership:

$y=6x$ --------> equation $1$

with membership:

$y=100+4x$ --------> equation $2$

using a graph tool------> resolve the system of equations

see the attached figure

the solution is the point $(50,300)$

that means

For $x=50\ sessions$

the cost is $\$300$ in both forms

so

to justify buying the membership

$x > 50\ sessions$

therefore

<u>the answer is</u>

$x > 50\ sessions$

3 0

3 years ago

Read 2 more answers

NEEED HELPPPP TRYING NOT TO FAIL MATHH !!

Oliga [24]

The answer is C hope it helped

3 0

1 year ago

Please help on number 3 part 1 and part 2 pretty please thanks

Goryan [66]

For the first part you need to find 85% of 16,000. its 13,600. you get this by multiplying .85 by 16,000.

for part two, i don't know how to show the work, but 816 is 96% of 850.

sorry about that, but i hope it helps

7 0

3 years ago

The rules for license plates in Idaho are 3 letters followed by 4 numbers (example ABC 1234), where the first letter can only be

shusha [124]

Answer:

Option: d is the correct answer.

d. 5 x 26 x 26 x 10 x 10 x 10 x 10 – Allow for more first letters to be used.

Step-by-step explanation:

It is given that:

The rules for license plates in Idaho are 3 letters followed by 4 numbers (example ABC 1234), where the first letter can only be the letters I, D, A, H, or O.

The number of different ways it could be done is:

as for the first place we have just 5 choices. ( as just 5 letters I, D, A, H, or O are to be used )

for the second place we have 26 choices. ( All the 26 alphabets could be used )

and same is for the third place we have 26 choices.

Now for the fourth,fifth,sixth and seventh places we have 10 choices.

Hence, the number of ways it could be done is:

5×26×26×10×10×10.

Also the number of ways the number of license plates can be increased is by not taking any restriction for the first place.

i.e. Allow for more first letters to be used.

Hence, the answer is:

Option: d

d. 5 x 26 x 26 x 10 x 10 x 10 x 10 – Allow for more first letters to be used.

6 0

3 years ago

Read 2 more answers

An item costs $4 before tax and $4.32 after sales tax. What is the sales tax rate?​

An item costs $4 before tax and $4.32 after sales tax. What is the sales tax rate?