Beth tells her mom she got a great deal on a new dress. It only costs $54.57 including tax of 7%. Her mom asks about the original price. Beth says she only knows it was 40% off. What was the original price without tax?

Answer:

C=94.2m

Step-by-step explanation:

D=30m

R=30/2=15m

C=2(3.14)(R)

C=2(3.14)(15)

C=94.2m

Answer: 94.2

Step-by-step explanation:

Answer:

y=x+6

if im not mistaken

Step-by-step explanation:

use y=m×+b

so get ur two points (2,8) (5,11)

then divide them where they supposed to be the y-coordinates on the top and the x-coordinates on the bottom so like

8-11/2-5 and that equals 1

sense you have ur M well ur slope use y=m×+b

so its going to be (8=(1(2)+b) which equals 6 so ur b will be 6

Using distributive property, the solution to the given expression is: 50v - 40w + 20

The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

For example:

4(3 + 5)

According to the distributive property, you first have to multiply out the bracket to get:

4*3 + 4*5 = 12 + 20

= 32

Thus:

5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)

= 50v - 40w + 20

Read more about Distributive property at: https://brainly.com/question/4077386

#SPJ1

Answer:

B, C, E

Step-by-step explanation:

For a rectangle,

area = length × width

Let length = y.

Then the width is y - 5.

A = LW

750 = y(y - 5)

y(y - 5) = 750

y² - 5y - 750 = 0

All equations that can be put in the form above are correct.

A) y(y + 5) = 750

y² + 5y - 750 = 0

No

B) y² – 5y = 750

y² - 5y - 750 = 0

Yes

C) 750 – y(y – 5) = 0

750 - y² + 5y = 0

y²- 5y - 750 = 0

Yes

D) y(y – 5) + 750 = 0

y² - 5y + 750 = 0

No

E) (y + 25)(y – 30) = 0

y² + 25y - 30y - 750 = 0

y² - 5y - 750 = 0

Yes

The method that will not give the correct number of inches is that the total length of the plant in a week is 19/4 inches.

Length of the small plant = 2 1/2 = 5/2 inches

Rate of growth = 3/4 inches

Increase in length in 3 weeks will be:

= 3 × 3/4 = 4

Total length = 5/2 + 9/4

= 19/4 inches.

Learn more about plant on:

brainly.com/question/11511241

#SPJ1

The shaded area inside the pentagon is defined by the following five inequalities: y ≤ 1/2 x + 4  x ≤ -2  y ≥ 1 x ≥ 4  y ≥ 2x - 5  y ≤ -1/2 x

What is pentagon ?

A pentagon is a polygon with five sides and five angles. It is a two-dimensional geometric shape that is commonly studied in geometry

To find the other four inequalities that define the shaded area inside the pentagon, we need to analyze the graph of the inequality y ≤ 1/2 x + 4 and consider the constraints imposed by the five sides of the pentagon.

First, let's graph the inequality y ≤ 1/2 x + 4:

graph of y ≤ 1/2 x + 4

The shaded region below the line y = 1/2 x + 4 represents all the points (x, y) that satisfy the inequality.

Next, let's examine the constraints imposed by the five sides of the pentagon.

The leftmost side of the pentagon is a vertical line passing through x = -2. This means that x is less than or equal to -2 for all points on this side of the pentagon:

x ≤ -2

The bottom side of the pentagon is a horizontal line passing through y = 1. This means that y is greater than or equal to 1 for all points on this side of the pentagon:

y ≥ 1

The rightmost side of the pentagon is a vertical line passing through x = 4. This means that x is greater than or equal to 4 for all points on this side of the pentagon:

x ≥ 4

The top side of the pentagon is defined by the equation y = 2x - 5. This means that y is greater than or equal to 2x - 5 for all points on this side of the pentagon:

y ≥ 2x - 5

Now we need to find the last inequality. We know that the pentagon is bounded and the only side left is the slanted side from (0,0) to (-2,1). To find the inequality for this line, we can use the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line. From the coordinates of the two endpoints, we can determine that the slope of the line is:

m = (1 - 0) / (-2 - 0) = -1/2

Let's use the point (0, 0) as our reference point, so we have:

y - 0 = (-1/2)(x - 0)

Simplifying, we get:

y = -1/2 x

This means that y is less than or equal to -1/2 x for all points on this side of the pentagon:

y ≤ -1/2 x

Therefore, the shaded area inside the pentagon is defined by the following five inequalities: y ≤ 1/2 x + 4  x ≤ -2  y ≥ 1 x ≥ 4  y ≥ 2x - 5  y ≤ -1/2 x

To learn more about Pentagon from given link.

https://brainly.com/question/17054992

#SPJ1

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

for more search question distance

https://brainly.com/question/30395212

#SPJ8

the function is given, and it's value is where the object is ("how far to the right").

so as long as it rises (going more right), this will be apply.

in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.

for the first 1.25 seconds the object goes to the left, and after that always to the right.

since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.

x(t) = 2t² – 5t – 18

x'(t) = 4t -5

x'(t) = 0

0 = 4t -5

5 = 4t

1.25 = t

plugging it into the second derivative

x''(t) = 4

x''(1.25) = 4

it's positive, so at t=1.25 there is a low point

(of course the second derivative is constant anyways.)

the object is traveling toward the right

the object is traveling toward the rightfor t > 1.25

The object is moving to the right, for t > 1.25, the object is moving in a rightward direction.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

An object travels along the x-axis so that its position after t seconds is given by:

x(t) = 2t² – 5t – 18

x'(t) = 4t - 5

x'(t) = 0

4t -5 = 0

t = 5/4 = 1.25 seconds

x''(t) = 4

x''(1.25) = 4

x''(1.25) > 0

At t = 1.25 the object travels at a low point.

Thus, the object is moving to the right, for t > 1.25, the object is moving in a rightward direction.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ2

For f(x)= 3x required values of the function are f(-3)=-9, f(0)=0, f(3)=9

What is the value of a function?

A function gives exactly one output to each input .  f(2) means that we should find the value of our function when x equals 2. f(x) is the value of the function

Given function is f(x)= 3x

Then f(-3) = 3(-3) =-9

f(0) = 3(0) =0

f(3) = 3(3) =9

Therefore, values of the function at x = -3,0,3 are -9,0,9 respectively

Also, learn more about function here:

https://brainly.com/question/12431044

#SPJ1

Answer:

360 naira hope its help

Step-by-step explanation:

brainliest me

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

For more such questions on quadrilaterals

https://brainly.com/question/27991573

#SPJ8

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

Learn more about annual interest here : brainly.com/question/15728540

#SPJ1

The roots of the given quadratic equation are 5 and -4

Quadratics are the polynomial equation which has the highest degree of 2. Also, called quadratic equations.

Given is an equation 3x²-13x-10 = 0, we need to solve by using completing the square method,

The given equation is =

3x²-13x-10 = 0

3(x²-13x/3-10/3) = 0

3(x²-2x·13x/6-10/3) = 0

Adding and subtracting (13/6)²

3(x²-2x·13x/6+(13/6)²-(13/6)²-10/3) = 0

3[(x-13/6)²-169/36-10/3] = 0

3[(x-13/6)²-289/36] = 0

(x-13/6)²-289/36 = 0

(x-13/6)² = 289/36

Taking roots,

x-13/6 = ±17/6

x = 17/6+13/6

x = 5

Or,

x = -17/6+13/6

x = -4

Hence, the roots of the given quadratic equation are 5 and -4

Learn more about quadratic equation, click;

https://brainly.com/question/30098550

#SPJ9

Answer: 162°

Step-by-step explanation:

To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.

First, a percent divided by 100 becomes a decimal.

       45% / 100 = 0.45

Next, "of" means multiplication in mathematics.

       0.45 * 360 = 162

The central angle will be 162°.

The answer for the given expression is =1/128[35-56cos2x+28cos4x-8cos6x+cos8x]

What is trignomatric functions?

All trigonometric identities are built upon the foundation of the six trigonometric ratios. Some of their names are sine, cosine, tangent, cosecant, secant, and cotangent. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios.

What is multiple angles?

If angle A is taken as a given, then many angles are 2A, 3A, 4A, etc. The many angle formulas employ the double and triple angles formulas. Sine, cosine, and tangent are the often utilised trigonometric functions for the multiple angle formula.

Answer is attached as a image must check:

To know more about tangent visit:

https://brainly.com/question/14022348

#SPJ1

We can rewrite sin⁸x in terms of first powers of the cosines of multiple angles as:

sin⁸x = 1/128 (35 - 4cos²x + 40cos⁴x - 64cos⁶x + cos⁸x)

Trigonometric functions raised to powers can be rewritten using double-angle, half-angle, and Pythagorean identities in power lowering formulas. Equations can be made simpler using them, and trigonometric expressions can be precisely determined.

We can use the power-reducing formulas to rewrite sin⁸x in terms of cosines of multiple angles as follows:

sin²x = 1 - cos²x   (first power-reducing formula)

sin⁴x = (sin²x)² = (1 - cos²x)²

      = 1 - 2cos²x + cos⁴x   (second power-reducing formula)

sin⁶x = (sin⁴x)(sin²x)

      = (1 - 2cos²x + cos⁴x)(1 - cos²x)

      = 1 - 3cos²x + 3cos⁴x - cos⁶x   (third power-reducing formula)

sin⁸x = (sin⁶x)(sin²x)

      = (1 - 3cos²x + 3cos⁴x - cos⁶x)(1 - cos²x)

      = 1 - 4cos²x + 6cos⁴x - 4cos⁶x + cos⁸x

Now we can substitute the expression for sin⁸x into the given expression and simplify it:

1/128 (35 - 56 cos2x + 28 cos4x - 8 cos6x + cos8x)

= 1/128 (35 - 56(2cos²x-1) + 28(4cos⁴x-3cos²x) - 8(8cos⁶x-8cos⁴x+cos²x) + cos⁸x)

= 1/128 (35 - 112cos²x + 56 + 112cos⁴x - 84cos²x - 64cos⁶x + 64cos⁴x - 8cos²x + cos⁸x)

= 1/128 (35 - 4cos²x + 40cos⁴x - 64cos⁶x + cos⁸x)

Therefore, we can rewrite sin⁸x in terms of first powers of the cosines of multiple angles as:

sin⁸x = 1 - 4cos²x + 6cos⁴x - 4cos⁶x + cos⁸x

     = 1/128 (35 - 4cos²x + 40cos⁴x - 64cos⁶x + cos⁸x)

Learn more about power reducing formulas on:

https://brainly.com/question/29586028

#SPJ1

Answer:

6 !

3 !

log 2 ( 16 )

log 13 ( 28 )

Answer:

25

Step-by-step explanation:

Distribute -5 through the parentheses

10n-10n+25

Subtract

10n-10n=0

Leaving you with 25 as your answer

Answer:

in general, the value of a car decreases with age what would ne the correlation between the age and values of all cars -1, 0.7, 1, -0.7​

The volume of the given sphere is 45 cubic units

Now replce r by 2r so that:-

So the volume of the sphere twice the radius of first sphere is 360 cubic units.

Hence the correct option is (B).

Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500

Answer:

b or c i think

Step-by-step explanation:

not for sure just a guess

ANSWER

p = -10

EXPLANATION

The formula for the slope of a line that passes through points (x1, y1) and (x2, y2) is:

In this problem we know the slope, one point and the x-coordinate of the other point. We have to find its y-coordinate:

Solving for p:

Answer:

\(Length = \frac{64}{3}m\)

\(Width= \frac{32}{3}m\)

Step-by-step explanation:

Given

\(Perimeter = 64m\)

\(Length = 2 * Width\)

Required

Determine the length and the width

Since the alley is rectangular, the perimeter is as follows;

\(Perimeter = 2 (Length * Width)\)

Substitute 64m for Perimeter

\(64m = 2(Length + Width)\)

Substitute 2 * Width for Length

\(64m = 2(Width+ 2 * Width)\)

\(64m = 2(Width+ 2 Width)\)

\(64m = 2(3 Width)\)

\(64m = 6Width\)

Divide both sides by 6

\(Width= \frac{64m}{6}\)

\(Width= \frac{32}{3}m\)

Recall that

\(Length = 2 * Width\)

\(Length = 2 * \frac{32}{3}m\)

\(Length = \frac{64}{3}m\)

Answer:

A, B, D, E

Step-by-step explanation:

Those are the answers i just got them right

Your welcome

In the expression 5 ∙ 5 ∙ 5 ∙ 5,  5 is the base and the exponent is 4 and the value of the power is 625.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

We have the expression:

5 ∙ 5 ∙ 5 ∙ 5

= 5 x 5 x 5 x 5

= (5)⁴

Here, in this expression,

5 is the base and the exponent is 4.

The expanded form,

(5)⁴

= 625.

Therefore, the value of the power is 625.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ2

The Compound Interest would be $1104.895

What is Compound Interest ?

The interest charged on a loan or deposit is known as compound interest. It is the idea that we use the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest. The main distinction between compound and simple interest is this. If we examine our bank statements, we will typically see that our account is credited with interest on a yearly basis. Even though the principal remains the same, the interest changes annually. We can observe that interest rises over time. As a result, we can infer that the interest the bank charges is compound interest, or CI, rather than simple interest.

Number of quarters in 5years =5×4=20

Quarterly rate of compound interest

r=24=0.5%

Initial amount

P=$1000

hence the total amount after 5years

=  P(1+r/100)n

=1000(1+0.5/100)^20

=1000(1.005)^20

=$1104.895

Hence, The Interest will be $1104.895

To learn more about Compound interest click on the link

https://brainly.com/question/24924853

#SPJ10

Complete Question

Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)

calculate for each

(a) z = 2.30

(b) z = -1.7

Answer:

a

\(p-value = 0.021448\)

b

\(p-value = 0.08913\)

Step-by-step explanation:

From the question we are told that

   The population mean is \(\mu = 30 \ psi\)

   The null hypothesis \(H_o : \mu = 30\)

    The alternative hypothesis is  \(H_a : \mu \ne 30\)

Considering question a  

 Here  the test statistics is (a) z = 2.30  

 From the z table  the probability of  (Z >  2.30)  is  

      \(P(Z > 2.30 ) = 0.010724\)

Generally the p-value is mathematically represented as

      \(p-value = 2 * P(Z > 2.30 )\)

=>   \(p-value = 2 * 0.010724\)

=>   \(p-value = 0.021448\)

Considering question b

 Here  the test statistics is (a) z = -1.7

 From the z table  the probability of  (Z <  -1.7)  is  

      \(P(Z < -1.7 ) = 0.044565\)

Generally the p-value is mathematically represented as

      \(p-value = 2 * P(Z < -1.70 )\)

=>   \(p-value = 2 * 0.044565\)

=>   \(p-value = 0.08913\)

The expression simplifies to |2x| = -2x, when x<0 by definition of absolute value

If x<0, then the expression |2x| simplifies to -2x.

The absolute value of a number is the distance of the number from zero on the number line.

Since x is negative in this case, 2x will be negative as well.

Taking the absolute value of -2x will give us the opposite of -2x, which is 2x.

However, since we know that x<0, this means that -2x will always be a positive number.

Hence, the expression simplifies to |2x| = -2x, when x<0.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ1

Complete question

Simplify the expression |2x|  when x is less than 0, x<0

Answer:

268

Step-by-step explanation:

hope this helps if not im sorry

The lateral surface area of a rectangular prism is 2(l + w)h sq units.

A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces).

The lateral surface area of a rectangular prism is given by

Where l, w, and h are the length, width, and height, respectively. To find the lateral surface area, we need the values of l, w, and h.

Without these values, it is not possible to determine the lateral surface area of the rectangular prism.

Therefore, the lateral surface area of a rectangular prism is 2(l + w)h sq units.

For more such questions on LSA of rectangular prism

https://brainly.com/question/16154580

#SPJ4

The calculated area of the kite is 56 square units

From the question, we have the following parameters that can be used in our computation:

The figure

The figure is a kite

And the area of the kite can be calculated as

Area = pq/2

Where p and q are the diagonals

using the above as a guide, we have the following:

p = 9 + 5 = 14

q = 4 + 4 = 8

So, we have

Area = 14 * 8/2

Evaluate

Area = 56

Hence, the area of the kite is 56 square units

Read more about area at

https://brainly.com/question/24487155

#SPJ1

Answer:

5/6 divided by 1/12 = 10.

Hope this helped!

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

(5/6)÷(1/12) = 10