a pair of sunglasses is 30% off . what is the new selling price

Answer:

5 - [tex]\frac{40}{5}[/tex] = 5 - 8 = -3

Step-by-step explanation:

The first mistake made by the student is in Step A where the problem was not copied down correctly.

The scale used is 1 cm : 3m

The car use 6.67 liters of petrol to travel 160 miles of distance.

Given, the car use the same amount of petrol for each mile it travels.

A car use 55 liters of petrol to travel 495 miles.

we have to find the petrol used to travel 160 miles.

As, 55 liters = 495 miles

495 miles = 55 liters

1 mile = 55/495 liters

Now, 160 miles = 55/495×160 liters

160 miles = 6.67 liters

So, the car use 6.67 liters of petrol to travel 160 miles of distance.

Hence, the car use 6.67 liters of petrol to travel 160 miles of distance.

Learn more about Unitary Method here https://brainly.com/question/28627316

#SPJ4

8 ounce of brown rice and 9 ounce quinoa sold.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Brown rice: $2.00 per pound

Quinoa: $4.50 per pound

let the brown rice sold x ounces

and, let the Quinoa sold be y ounces

So, the equations are:

x + y= 17

2x+ 4.5y= 54

2( 17- y) + 4.5y= 54

34 - 2y + 4.5y= 54

2.5y= 20

y= 20/2.5

y= 8 ounce

and, x= 17-8= 9 ounce

Hence, 8 ounce of brown rice and 9 ounce quinoa sold.

Learn more about Equation here:

https://brainly.com/question/10413253

#SPJ1

The cost of each adult ticket for watching movie at the theatre equals to $12.

Given data:

Student ticket price = $7

Group of 4 students and 3 adults paid $64 in all for movie tickets.

The computation of each of the adult ticket cost is as follows:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Now:

The cost of 1 student ticket = $7

The cost of 4 student ticket = $7(4)

Then, we get the following equation:

7(4) + 3x = 64

18 + 3x = 64

3x = 64 - 18

3x = 36

x = 12

Read more about price

brainly.com/question/20068125

#SPJ1

Answer:

m = -5

Step-by-step explanation:

I'm not sure of the first part, but this is how to solve the second:

5m > -25

5m/5 > -25/5

m = -5

Answer:

24.4 km

Step-by-step explanation:

The Pythagorean theorem states that a^2 + b^2 = c^2, where c is the hypotenuse of the triangle, and a and b are the legs. Plugging in your values, we get:

20^2 + 14^2 = c^2

Simplify: 400 + 196 = c^2

Simplify again: 596 = c^2

Square root both sides to cancel out the exponent on the right: 24.4131=c

Round: 24.4

The perimeter of the figure is 32 cm

The figure represents the given parameters

On the figure, we have the lengths of the side lengths to be:

Lengths = 7 cm, 5 cm, 3 cm, 4 cm, 4 cm, 9 cm

To determine the perimeter of the shape, we simply add the side lengths

Mathematically, this can be represented as

Perimeter = Sum of side lengths

Substitute the known values in the above equation So, we have the following equation

Perimeter = 7 cm + 5 cm + 3 cm + 4 cm + 4 cm + 9 cm

Evaluate the sum

Perimeter = 32 cm

Hence, the perimeter is 32 cm

Read more about perimeter at

https://brainly.com/question/24571594

#SPJ1

Answer:

14.7

Step-by-step explanation:

Answer:

6[tex]\sqrt{6}[/tex]

or

≈14.7

Step-by-step explanation:

√6 x √6 x√6 can someone help​

√6 x √6 x√6 =

6[tex]\sqrt{6}[/tex]

or

≈14.7

Answer:333

Step-by-step explanation:

Since this is a scalene triangle, two sides will equal the same, meaning two angles will equal the same. So 70 has an equal on the other side, meaning 70+70=140, and x will equal the remainder, meaning x=40.

Hope that helps.

The correct value of the simplified expressions found using the laws of indices gives;

The laws of indices state rules that enable the simplification of the combination of expressions of numbers and variables that are given in index form or involve powers of other numbers or variables

1. [tex]3^{\frac{1}{4} } = \sqrt[4]{4}[/tex]

The radical sign is used for expressing fractional indices.

The correct option is d. [tex]\sqrt[4]{4}[/tex]

2. The radical is in its simplest form when it cannot be further simplified, which gives the radical in its simplest form as option a. [tex]\sqrt{\dfrac{5}{6} }[/tex]

3. The index of a number is the number to which the variable or number is raised

The index of x³ in [tex]\sqrt{x^3}[/tex] is d. 3

4. The given expression has y raised to the power of [tex]\frac{1}{2}[/tex], which gives;

[tex]x\cdot y^\frac{1}{2} = x\cdot \sqrt{y}[/tex]

The correct option is a. [tex]x\cdot \sqrt{y}[/tex]

5. The common index of the expression within the parenthesis is [tex]\frac{1}{2}[/tex], which gives;

[tex](x^4\cdot y^2)^\frac{1}{2} = (x^{4\times \frac{1}{2} }\cdot y^{2 \times \frac{1}{2} })=x^2\cdot y[/tex]

The correct option is b. x²·y

6. The value of all numbers raised the power of zero is 1, therefore;

[tex](2^{1/3}\cdot 3^{1/4})^0\cdot (2^{1/5}\cdot 3)^0 = 1 \times 1=1[/tex]

The correct option is b. 1

7. The given expression can be simplified as follows;

[tex]\sqrt[5]{\dfrac{1}{243} } = \sqrt[5]{\dfrac{1}{3^5} } = \sqrt[5]{\left(\dfrac{1}{3} \right)^5} = \dfrac{1}{3}[/tex]

The correct option is therefore; a. 1/3

8. The given expression [tex]\sqrt{225\cdot x^4\cdot y^8} = \sqrt{15^2\cdot x^4\cdot y^8} = 15\cdot x^2\cdot y^4[/tex]

The correct option is [tex]15\cdot x^2\cdot y^4[/tex]

9. The given expression is [tex]\sqrt[3]{216\cdot x^9\cdot y^{15}}[/tex]

[tex]\sqrt[3]{216\cdot x^9\cdot y^{15}} = \sqrt[3]{6^3\cdot x^9\cdot y^{15}} = 6\cdot x^3\cdot y^5[/tex]

The correct option is e. [tex]6\cdot x^3\cdot y^5[/tex]

10. [tex]\sqrt{\dfrac{50}{162} } = \sqrt{\dfrac{25\times 2}{81\times 2} } = \sqrt{\dfrac{25}{81} } = \dfrac{5}{9}[/tex]

The correct option is c. [tex]\frac{5}{9}[/tex]

Learn more about the laws of indices here:

https://brainly.com/question/8959311

#SPJ1

The ladder Brian borrowed for painting should go 19.08 feet up the house if Brian sets the base 6 feet from the house

information given in the question

hypotenuse = 20-foot ladder

adjacent = 6 feet from the house

opposite =  how far up the house = ?

The problem is solved using the Pythagoras theorem is applicable to right angle triangle.  the formula of the theorem is

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

20² = 6² + x²

400 = 36 + x²

400 - 36 = x²

x² = 364

x = √364

x = 19.08

The ladder Brain borrowed will go 19 feet high

Learn more on leaning a ladder here:

https://brainly.com/question/29241066

#SPJ1

Answer:

  y = -1/3x +6

Step-by-step explanation:

You want the equation of the line through (3, 5) perpendicular to the line y = 3x +2.

The given equation is in slope-intercept form. This lets us identify its slope as 3.

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 3x +2 . . . . . . . line with slope 3 and y-intercept 2

The perpendicular line will have a slope that is the opposite reciprocal of this:

  m = -1/3 . . . . slope of the perpendicular line

The equation for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

The equation for a line with slope -1/3 through point (3, 5) is ...

  y -5 = -1/3(x -3)

Solving for y gives us ...

  y = -1/3x +1 +5 . . . . . eliminate parentheses, add 5

  y = -1/3x +6 . . . . . equation of the desired line

<95141404393>

Part a: Monthly percent rate = y/x

Part b:  APR = y/x × 12.

For the given question;

Average daily balance sheet of Suzanne's is  x dollars.

Finance charges = y

Part a: monthly percentage rate

Finance charge = Monthly percent rate × Average daily balance

Monthly percent rate = Finance charge/Average daily balance

Monthly percent rate = y/x

Part b: APR

Thus,

For 12 months.

APR = y/x × 12

Thus, the value of APR for the period of 12 months is APR = y/x × 12 .

To know more about the APR, here

https://brainly.com/question/341269

#SPJ13

The correct way to write 0.0000250 m in scientific notation is 2.5 · 10⁻⁵ m.

Scientific notation is a convenient way to write numbers that are very large or very small. A number written in scientific notation consists of a number greater than or equal to 1 but less than 10 multiplied by a power of 10. Here are some examples of numbers written in scientific notation:

Since you're given a number less than 1, move the decimal point to the right until you have a number between 1 and 10. Then, count the number of times you moved the decimal and write that as negative exponent over a base of 10. Finally, write out number multiplied by the power. You'll get 2.5 · 10⁻⁵ if you do those things correctly.

Learn more about scientific notation here: https://brainly.com/question/27862246

#SPJ4

Answer:

A. 2.50 Times. 10–5 m

Step-by-step explanation:

other one is wrong

The greatest product that PQ x RS can have: 96 * 87 = 8352

In this question, we have been given PQ and RS represents a 2-digit numbers. Different letter represent different digits, chosen from 6, 7, 8 and 9

We need to find the greatest product that PQ x RS can have.

Consider P = 9, Q = 6, R = 8 and S = 7

So the two digit numbers would be,

PQ = 96 and RS = 87

PQ x RS

= 96 * 87

= 8352

Therefore, the greatest product that PQ x RS can have: 96 * 87 = 8352

Learn more about product here:

https://brainly.com/question/11927706

#SPJ1

Answer:

C = 30pi inches

Step-by-step explanation:

The radius is 15 inches (said so in the question)

The diameter is 30 inches (The diameter is twice the radius)

The circumference is

C = pi•d

C = pi•30

C = 30pi

The circumference is 30pi inches.

The equation in slope intercept form is x =4 .

Given:

x = -5

x + 5 = 0

here slope m = ∞.

line equation passes through (4,-3) with m = ∞

-3 = 1/0(4) + c

4 + c = 0

c = -4.

y = (1/0)x - 4

x - 4 = 0

x = 4.

Therefore the equation in slope intercept form is x =4 .

Learn more about the slope intercept form here:

https://brainly.com/question/9682526

#SPJ1

1. Therefore, the sequence is geometric.

2. Therefore, the sequence is arithmetic.

3. Therefore, the sequence is neither arithmetic nor geometric.

4. Therefore, the sequence is geometric.

5. Therefore, the sequence is neither arithmetic nor geometric.

For the arithmetic, geometric, and harmonic sequences, a collection of sequences and series formulas is provided below. The sequence and series formulas presented here contain formulas for determining the sum of the n terms in a series as well as the nth term of the sequence.

A common difference exists between two succeeding terms in an arithmetic series. There is a typical ratio between succeeding terms in a geometric series.

1. Given sequence is 27, 9, 3, ...

As the difference between the number is large.

So, we will check for geometric sequence.

[tex]r = \frac{27}{9} = \frac{3}{3} = \frac{1}{3}[/tex]

Therefore, the sequence is geometric.

2. Given sequence is 4, 8, 12, ...

As we can see there is uniform difference of 4

Therefore, the sequence is arithmetic.

3. Given sequence is 50, 56, 60, ...

As the difference between the number is not uniform.

So, we will check for geometric sequence.

[tex]r = \frac{50}{56} \neq \frac{56}{60}[/tex]

There, the sequence is neither arithmetic nor geometric.

4. Given sequence is 36, 12, 4, ...

As the difference between the number is large.

So, we will check for geometric sequence.

[tex]r = \frac{36}{12} = \frac{12}{4} = 3[/tex]

Therefore, the sequence is geometric.

5. Given sequence is 4, 24, ...

The number of terms is very less and hence we can't decide.

There, the sequence is neither arithmetic nor geometric.

To know more about sequence and series, visit

https://brainly.com/question/49441819

#SPJ1

Please find attached the completed table of the percentage changes on the amounts drawn with MS Word.

The percentage change on an amount is found by finding ratio of the change in the amount to the original amount then multiplying the obtained ratio by 100.

The percentage change formula is presented as follows;

Where;

Making each of the variables the subject, indicates;

The new amount, [tex]x_2 = \dfrac{\%C \times x_1}{100} + x_1[/tex]

[tex]\%C \times x_1+100\cdot x_1 = 100\cdot x_2[/tex]

[tex]x_1\cdot (\%C+100) = 100\cdot x_2[/tex]

The original amount, [tex]x_1 = \dfrac{100\cdot x_2}{(\%C+100)}[/tex]

The percentage change, [tex]\%C = \dfrac{c}{x_1} \times 100[/tex]

The original amount, [tex]x_1 = \dfrac{c}{\%C} \times 100[/tex]

Using the above formulas, the completed table is created with MS Excel and is presented as follows;

Original amount  Change  Percent Change   New Amount

68 [tex]{}[/tex]                        15            22.1                        83

590 [tex]{}[/tex]                    -40          -6.8                         550

115 [tex]{}[/tex]                       20           17.4                         135

120[tex]{}[/tex]                      -33           -27.5                       87

125[tex]{}[/tex]                     -39           -31.2                        86

163   [tex]{}[/tex]                   47             28.8                       210

274[tex]{}[/tex]                     145.22       17.4                        419.22

70 [tex]{}[/tex]                      -15.4         -27.5                       54.6

1400[tex]{}[/tex]                  -1050         22.1                        350

1250[tex]{}[/tex]                  -25            -2.0                         1225

0.24[tex]{}[/tex]                    0.3            125.0                      0.54

Learn more about the percentage change of an amount here:

https://brainly.com/question/12865932

#SPJ1

The rate per minute at which Karama can paint banisters is 0.02.

In the given question,

Karama can paint a staircase banister in 50 minutes.

We have to find the rate per minute at which Karama can paint banisters.

Since we have to find the rate per unit. Rate per unit means how much Karama can paint in one minute.

To find the rate per unit we divide 1 by 50.

As we know that Karama can paint one staircase banister in 50 minute.

So we can write it as

50 minute = 1 staircase banister paint

Now in 1 minute.

1 minute = 1/50 staircase banister paint

Simplifying

1 minute = 0.02 staircase banister paint

Hence, the rate per minute at which Karama can paint banisters is 0.02.

To learn more about rate per unit link is here

brainly.com/question/17116587

#SPJ1

The statement ""what goes up must come down. the ball went up. it will come down." can be reached through a deductive reasoning.

The mental process of forming deductive deductions is known as deductive reasoning. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if the premises cannot be true while the conclusion is false.

The primary distinction between inductive and deductive thinking is that inductive reasoning seeks to develop a hypothesis, whereas deductive reasoning seeks to test an existing theory. Inductive thinking proceeds from individual observations to broad generalizations, whereas deductive reasoning proceeds in the other direction.

In conclusion, the correct option based on the information is a deductive reasoning.

Learn more about deductive reasoning on:

https://brainly.com/question/7284582

#SPJ1

The linear factors of the given cubic polynomial are (x-1)(x+4)(x+5).

The linear factors of a polynomial are the first-degree equations that are the building blocks of more complex and higher-order polynomials.

Given a cubic polynomial, x³+8x²+11x-20

x³+8x²+11x-20 = (x-1)(x²+9x+20)

= (x-1)(x²+4x+5x+20)

= (x-1){x(x+4)+5(x+4)}

= (x-1)(x+4)(x+5)

Hence, The linear factors of the given cubic polynomial are (x-1)(x+4)(x+5).

For more references on linear factors, click;

https://brainly.com/question/2510777

#SPJ1

The vertex form of the function g(x)= 2[tex]x^2[/tex]+16x+6 is g(x)= 2[tex](x+4)^2[/tex]-26.

What is vertex form of the function?

   The function's maximum or lowest possible output is represented by the vertex of the quadratic function's graph. When viewing a graph, the vertex is the highest or lowest point on the parabola. Utilizing the vertex formula is the simplest technique to discover the vertex. It is simple to locate the vertex of the parabola using the vertex form of a quadratic equation. Y=a(xh)2+k is the definition of the generic vertex form, where h is the x-coordinate and k is the y-coordinate of the vertex.

Here the given function is ,

=> g(x) = 2[tex]x^2[/tex]+16x+6

=> g(x) = 2([tex]x^2+[/tex]8x+3)

=> g(x) = 2([tex]x^2+[/tex]8x+16-16+3)

=>g(x) = 2 [[tex](x+4)^2[/tex]-13]

=> g(x)=  2[tex](x+4)^2[/tex]-26

Therefore vertex form of the function is g(x)= 2[tex](x+4)^2[/tex]-26 and vertex is (-4,-26).

To learn more about vertex form refer the below link

https://brainly.com/question/24803092

#SPJ1

Answer:

g(x)=2(x+4)^2-26

Has a minimum value of -26

Step-by-step explanation:

i got it right!

Si X es la cantidad total de alimento en la heladera, (1/10)*X es la cantidad de manzanas, entoces vemos que la fraccion es 1/10.

Digamos que la variable X representa la cantidad total de comida en la heladera.

Sabemos que un tercio del total de los alimentos son solidos, entonces la cantidad de alimentos solidos es:

(1/3)*X

Luego 1/2 de estos son verduras, entonces la cantidad de verduras que tenemos es:

(1/2)*(1/3)*X

Finalmente, 3/5 de las verduras son manzanas, entonces la cantidad de manzanas es:

(3/5)*(1/2)*(1/3)*x = (1/10)*x

Asi hemos encontrado la fraccion.

Aprende más sobre fracciones:

https://brainly.com/question/11562149

#SPJ1

The model which model the dimensions of the bed has been attached.

Perimeter of the bed = 2(length + width)

= 2(6 + 4)

= 2(10)

= 20 feet

Area of the bed = Length × width

= 6 feet × 4 feet

= 24 square feet

Total perimeter = 14 + 10 + 10 + 6

= 40 feet

Therefore, the items listed can not all be underneath your bed because the total perimeter of the items is greater than the perimeter of your bed.

Read more on perimeter of a rectangle:

https://brainly.com/question/24571594

#SPJ1

Answer:

y=2/3x

Or

X=3/2y

Step-by-step explanation:

3y=2x

/3. /3

y=2/3x

3y=2x

/2. /2

3/2y=x

Hopes this helps please mark brainliest

Answer:

x=3/2y

y=2/3x

Step-by-step explanation:

for x - first screen shot

for y - second screen shot

Hope that helps!

The weight of the U.S. flag in pounds is 2,998.44 pounds.

The dimension of the U.S. flag is in feet. The dimensions have to be converted to yards.

1 foot = 1/3 yards

225 / 3 = 75 yards

505 / 3=  168.33 yards

The next step is to determine the area of the U.S. flag.

Area = length x width

75 x 168.33 = 12,625 yards²

Weight of the U.S. flag in ounces = 12,625 yards² x 3.8 = 47,975 ounces

1 ounce = 1/16 pounds

Weight of the U.S. flag in pounds = 47,975 / 16 = 2,998.44 pounds

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

#SPJ1

The type of bias that can be present in stratified sampling is that the students cannot be selected to accurately reflect the population.

Samples may be classified according to the five options as follows:

In this problem, an equal amount of students from each class was surveyed, hence a stratified sample was used.

The type of bias present in stratified sampling is that the students cannot be selected to accurately reflect the population.

The problem asks for which type of bias is present in this sample.

More can be learned about bias and sampling at https://brainly.com/question/13298621

#SPJ1