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3 years ago

A dress is offered at £105 in a 30% sale. How much does it normally cost?

Mathematics

2 answers:

tangare [24]3 years ago

4 0

the answer of the question is $36

Alina [70]3 years ago

4 0

Answer:

£150

Step-by-step explanation:

£105 is the already reduced price. and it is reduced by 30%.

that means that price is 100-30 = 70% of the original price

so, how to get the 100% out of the 70% ?

well, in the same way we do it also in the other direction.

basically, figure out 1%, and then go for how many % we need.

so, we need to divide 105 by 70 (to get 1%) and then multiply the result by 100 (to get 100% out of the 1%).

price = 105/70 × 100 = 105 × 100 / 70 = 105 × 10 / 7 =

= 15 × 10 = £150

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How can i determine the unit rate from a graph?

artcher [175]

Unit rate (rise over run) can be determined from a graph by the amount a straight line goes up and across on a graph. The number the line rises on the graph (each point on the axes it crosses) goes over the the amount it goes across on the graph in fractional form.

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3 years ago

The owner of Limp Pines Resort wanted to know the average age of its clients. A random sample of 25 tourists is taken. It shows

erma4kov [3.2K]

Answer:

C. ± 2.326 years.

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.01 = 0.99$ , so $z = 2.326/tex]Now, find the width of the interval[tex]W = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this question:

$\sigma = 5, n = 25$

$W = z*\frac{\sigma}{\sqrt{n}}$

$W = 2.326*\frac{5}{\sqrt{25}}$

The correct answer is:

C. ± 2.326 years.

7 0

3 years ago

Solve for x<br> And show work

klemol [59]

Answer:

x = -8

Step-by-step explanation:

1. Because the line the angles x + 96 and 100 + x are on is straight, it's a straight angle that results in 180°.

2. Given the above information, that means x + 96 + 100 + x = 180.

3. (Solving for equation above)

Step 1: Simplify both sides of the equation.

$(x+x) + (96+100)=180$
$2x + 196 = 180$

Step 2: Subtract 196 from both sides.

$2x + 196 - 196 = 180 - 196$
$2x = -16$

Step 3: Divide both sides by 2.

$\frac{2x}{2} = \frac{-16}{2}$
$x = -8$

Step 4: Check if solution is correct.

$-8 + 96 + 100 - 8 = 180$
$88 + 100 - 8 = 180$
$188-8=180$
$180=180$

Therefore, x = -8.

6 0

2 years ago

Read 2 more answers

A salesperson sells $2100 in merchandise and earns a commission of $273, What is the commission rate?

larisa86 [58]

if we take 2100 to be the 100%, what is 273 off of it in percentage?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 2100 & 100\\ 273& x \end{array} \implies \cfrac{2100}{273}=\cfrac{100}{x}\implies \cfrac{100}{13}=\cfrac{100}{x} \\\\\\ 100x=1300\implies x=\cfrac{1300}{100}\implies x=13$

3 0

2 years ago

PLEASE HELPPPPP

dsp73

Answer:

see explanation

Step-by-step explanation:

the equation of parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier.

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute any other point on the graph into the equation.

using (0, 7 )

7 = a(0 - 3)² + 1 ( subtract 1 from both sides )

6 = a(- 3)² = 9a ( divide both sides by 9 )

$\frac{6}{9}$ = $\frac{2}{3}$ = a

y = $\frac{2}{3}$ (x - 3)² + 1 ← in vertex form

------------------------------------------------------

the equation of a parabola in factored form is

y = a(x - a)(x - b)

where a, b are the zeros and a is a multiplier

here zeros are - 1 and 3 , the factors are

(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)

y = a(x + 1)(x - 3)

to find a substitute any other point that lies on the graph into the equation.

using (0, - 3 )

- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

1 = a

y = (x + 1)(x - 3) ← in factored form

3 0

2 years ago