Ask question

Ask question

All categories

2 years ago

8

A bicycle helmet has a selling price of $50. The helmet is discounted 30% off the selling price. The sales tax rate is 6%. What

is the total cost of the helmet?

1 answer:

Andrei [34K]2 years ago

6 0

Convert 30% to a decimal by dividing by 100 = 0.30

Multiply by the cost of the helmet, $50
50 x 0.30 = $15, the amount of the discount.

50-15 = $35, the sale price of the helmet.

For the sales tax, again, convert to a decimal by dividing by 100 = 0.06

35 x 0.06 = 2.10, the amount of sales tax

$35 + $2.10 = $37.10, total cost with tax

You might be interested in

WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we

Aliun [14]

Answer: $48

Step-by-step explanation:

From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.

Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:

x + (6% of x) = $50.88

x + (6/100 × x) = $50.88

x + (0.06 × x) = $50.88

x + 0.06x = $50.88

1.06x = $50.88

When then divide by the coefficient of x

1.06x/1.06 = #50.88/1.06

x = $48

The price before the tax is $48

7 0

3 years ago

How many equal sections divide a directed line segment if it is to be partitiioned with a 7:10 ratio?

Sphinxa [80]

Im Not Sure But Im Thinking 7/10 Wrote As in A Fraction .

8 0

3 years ago

Find the smallest 4 digit number such that when divided by 35, 42 or 63 remainder is always 5

alex41 [277]

The smallest such number is 1055.

We want to find $x$ such that

$\begin{cases}x\equiv5\pmod{35}\\x\equiv5\pmod{42}\\x\equiv5\pmod{63}\end{cases}$

The moduli are not coprime, so we expand the system as follows in preparation for using the Chinese remainder theorem.

$x\equiv5\pmod{35}\implies\begin{cases}x\equiv5\equiv0\pmod5\\x\equiv5\pmod7\end{cases}$

$x\equiv5\pmod{42}\implies\begin{cases}x\equiv5\equiv1\pmod2\\x\equiv5\equiv2\pmod3\\x\equiv5\pmod7\end{cases}$

$x\equiv5\pmod{63}\implies\begin{cases}x\equiv5\equiv2\pmod 3\\x\equiv5\pmod7\end{cases}$

Taking everything together, we end up with the system

$\begin{cases}x\equiv1\pmod2\\x\equiv2\pmod3\\x\equiv0\pmod5\\x\equiv5\pmod7\end{cases}$

Now the moduli are coprime and we can apply the CRT.

We start with

$x=3\cdot5\cdot7+2\cdot5\cdot7+2\cdot3\cdot7+2\cdot3\cdot5$

Then taken modulo 2, 3, 5, and 7, all but the first, second, third, or last (respectively) terms will vanish.

Taken modulo 2, we end up with

$x\equiv3\cdot5\cdot7\equiv105\equiv1\pmod2$

which means the first term is fine and doesn't require adjustment.

Taken modulo 3, we have

$x\equiv2\cdot5\cdot7\equiv70\equiv1\pmod3$

We want a remainder of 2, so we just need to multiply the second term by 2.

Taken modulo 5, we have

$x\equiv2\cdot3\cdot7\equiv42\equiv2\pmod5$

We want a remainder of 0, so we can just multiply this term by 0.

Taken modulo 7, we have

$x\equiv2\cdot3\cdot5\equiv30\equiv2\pmod7$

We want a remainder of 5, so we multiply by the inverse of 2 modulo 7, then by 5. Since $2\cdot4\equiv8\equiv1\pmod7$ , the inverse of 2 is 4.

So, we have to adjust $x$ to

$x=3\cdot5\cdot7+2^2\cdot5\cdot7+0+2^3\cdot3\cdot5^2=845$

and from the CRT we find

$x\equiv845\pmod2\cdot3\cdot5\cdot7\implies x\equiv5\pmod{210}$

so that the general solution $x=210n+5$ for all integers $n$ .

We want a 4 digit solution, so we want

$210n+5\ge1000\implies210n\ge995\implies n\ge\dfrac{995}{210}\approx4.7\implies n=5$

which gives $x=210\cdot5+5=1055$ .

5 0

2 years ago

Which of the following is equivalent to the inequality shown below?

VARVARA [1.3K]

Answer:

$4x + 0.9 \geq 0.1$ is equivalent to the inequality $40x+9 \geq 1$

Step-by-step explanation:

Given inequality : $4x + 0.9 \geq 0.1$

We are supposed to find Which of the following is equivalent to the inequality

$4x + 0.9 \geq 0.1$

$\Rightarrow 4x+\frac{9}{10} \geq \frac{1}{10}$

Multiply both sides by 10

$\Rightarrow 4(10)x+\frac{9}{10}(10) \geq \frac{1}{10}(10)$

$\Rightarrow 40x+9 \geq 1$

$4x + 0.9 \geq 0.1$ is equivalent to the inequality $40x+9 \geq 1$

So, Option B is true

B) $40x+9 \geq 1$

7 0

3 years ago

45 miles per hour<br><br> ? miles per minute

hjlf

if its 45 miles per hour then, 0.75 mile/minute.

8 0

2 years ago

Read 2 more answers