Traditions Clothing Store is having a sale. Shirts that were regularly priced at $20 are on sale for $17. What is the percentage of decrease in the price of the shirts?

Answers

Answer 1

Answer: $\begin{array}{ccc}\$20&-&100\%\n\n\$17&-&p\%\end{array}\n\n\ncross\ multiply\n\n20p=17\cdot100\ \ \ /:20\n\np=(1700)/(20)\n\np=85\ (\%)\n\n100\%-85\%=15\%\leftarrow Answer$

Answer 2

Answer: original price of shirts = $ 20
new price of shirts = $17
decrease in price = $20 - $17 = $ 3
% decrease = 3/20 x 100 = 15%

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Can someone help me please

I need help with this question can you explain it step by step so I can know how to do the math

Answers

Answer:

Step-by-step explanation:

$7x^2 - 4x - 4 = 0$

The quadratic formula is x = (-b± $√(b^2 - 4ac)$ )/2a when $ax^2+bx+c=0$ .

Use direct substitution.

x = (-(-4)± $√((-4)^2-4(7)(-4))$ )/2(7)

simplify

x = (4± $√(16+112)$ )/14

x = (4± $√(128)$ )/14

factor greatest perfect square out of $√(128)$

x = (4± $√(64)*√(2)$ )/14

simplify

x = (4± $8*√(2)$ )/14

greatest common factor

x = (2(2)± $4(2)*√(2)$ )/7(2)

x = (2)(2± $4*√(2)$ )/7(2)

x = (2± $4*√(2)$ )/7

Possible solutions for quadratic equation

$x_(1)$ = $(2+4*√(2))/(7)$

$x_(2)$ = $(2-4*√(2))/(7)$

What are the approximate solutions of 2x2 + 9x = 8 to the nearest hundredth?a. x ≈ 1.22 and x ≈ 3.28
b. x ≈ −0.76 and x ≈ 5.26
c. x ≈ −1.22 and x ≈ −3.28
d. x ≈ −5.26 and x ≈ 0.76

Answers

Answer:

The roots of the equations are x ≈ -5.26 and x ≈ 0.76 .

Option (d) is correct.

Step-by-step explanation:

Formula for the roots is given by .

$x = \frac{-b \pm \sqrt{b^(2) -4ac}}{2a}$

As the equation in the form

$2x^(2) + 9x - 8 = 0$

As the equation in the form ax² + bx + c = 0

a = 2, b= 9 , c = -8

Put in the formula

$x = \frac{-9 \pm \sqrt{9^(2) -4* 2* -8}}{2* 2}$

$x = (-9 \pm √(81 + 64))/(4)$

$x = (-9 \pm √(145))/(4)$

$√(145) = 12.04$

Thus First roots be

$x = (-9 - 12.04)/(4)$

$x = (-21.04)/(4)$

x ≈ -5.26

The second root be

$x = (-9 + 12.04)/(4)$

$x = (3.04)/(4)$

x ≈ 0.76

Therefore the roots of the equations are x ≈ -5.26 and x ≈ 0.76 .

Option (d) is correct.

Answer:

the anwser is d, hope this helps

The problem is three n squared minus 17 n plus 24

Answers

3n^2 - 17n + 24 is the expression.

Ou can use here is 3n2-17n+24. Hope this helps

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?

Answers

The answer is:
a = c ÷ 2
b = P - a - c

The perimeter is the sum of all sides of a polygon. The perimeter of the triangle is:
P = a + b + c
where
P - perimeter of the triangle,
a, b, c - sides of the triangle.

It is given:
P = 14.5 cm
c = 6.2 cm

If, the longest side (c) is twice that of the shortest side (a), then
c = 2a
Therefore, the equation that can be used to find the length of the shortest side is a = c ÷ 2.

⇒ a = c ÷ 2 = 6.2 cm ÷ 2
⇒ a = 3.1 cm

By knowing two sides (c and a) and perimeter (P), we can calculate the length of the third side (b).
If P = a + b + c, then the equation that can be used to find the length of the side b is b = P - a - c.

⇒ b = P - a - c = 14.5 cm - 6.2 cm - 3.1 cm
⇒ b = 5.2 cm

Final answer:

The equation to find the side lengths of the triangle is x + 2x + (14.5 - x - 2x) = 14.5, using x to represent the shortest side.

Explanation:

The subject of this question is a scalene triangle. A scalene triangle is a triangle in which all sides have different lengths. In this specific triangle, we are given the perimeter (which is 14.5 cm), and we know that the longest side is twice the length of the shortest side. The longest side's length is given as 6.2 cm.

Let's denote the shortest side as x. If the longest side is twice that length, we can express it as 2x. Now, the remaining side can be found by subtracting x and 2x from the total perimeter: 14.5 - x - 2x. So our equation becomes x + 2x + (14.5 - x - 2x) = 14.5.

Learn more about Finding side lengths of a scalene triangle here:

brainly.com/question/32864054

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Ramon earns $1,715 each month and pays $53.40 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Percent of earnings spent on electricity each month is 3.1 %

Solution:

Given that Ramon earns $1,715 each month and pays $53.40 on electricity

To find: Percent of earnings spent on electricity each month

From given information,

Ramon's monthly salary = $ 1715

Electricity Rent = $ 53.40

Finding percentage of earnings spent on electricity:

Percent of earnings spent on electricity = $\frac{\text{ electricity rent}}{\text{ monthly salary}} * 100$

Substituting the values we get,

$\rightarrow (53.40)/(1715) * 100\n\n\rightarrow 0.031137 * 100 = 3.113 \approx 3.1$

Thus Percent of earnings spent on electricity each month is 3.1 %

The graphs of f(x) and g(x) are shown below:graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 5, 0

If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?

g(x) = (x + 5^)2

g(x) = (x − 5)^2

g(x) = (x − 9)^2

g(x) = (x + 9)^2

Answers

Answer:

The equation for g(x) is:

g(x)=(x+5)^2

Step-by-step explanation:

We are given the information about the graph of the function f(x) and g(x) as:

graph of function f of x open upward and has its vertex at (-7,0).

Graph of function g of x opens upward and has its vertex at (-5,0).

If f(x) = (x + 7)^2; which is a parabola with vertex at (-7,0).

Also as g(x) is formed by the translation of the function f(x) so it will also be a quadratic function such that it's vertex is (-5,0).

so, the equation of g(x) will be:

g(x)=(x+5)^2.

Hence, the translation is a shift of the function f(x) 2 units to the right.

The right answer for the question that is being asked and shown above is that: "g(x) = (x − 5)^2" If f(x) = (x + 7)^2, the expression that is g(x) based on the translation is that g(x) = (x − 5)^2

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