Robert went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $48, but the price with tax came to $50.40. Find the percent sales tax.

The total number of miles will Samantha have covered when Anthony catches her is 75 miles.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

The distance that Samantha covers before Anthony starts = Rate * Time

So, 12 * (1 + 1/4)hrs =12 * (1.25)  =  15 miles

And each hour the distance that he closes on Samantha =  15 - 12  =  3 miles

Thus, the time it will take to catch her =

Distance Samantha is ahead  /  Distance Anthony closes per hour  = 15/3 = 5 hours

Thus, the total number of miles will Samantha have covered when Anthony catches her is 15*5 = 75 miles.

To know more about word problems visit: brainly.com/question/29203255

#SPJ4

Samantha have covered the distance of 15 miles when Anthony catches her.

Here we have given that Samantha begins biking at 12 mph from the center of town towards the ocean at 12:00 noon.

Here we also know that later that day, at 1:15 pm, the person called Anthony begins biking along the same route as Samantha at 15 mph.

Here we have to note that the distance that Samantha covers before Anthony starts,

Then it can be written as,

=> Rate * Time

When we apply the values on it, then we get

=> 12 * (1 + 1/4) hours

When we simplify this one then we get

=> 12 * (1.25)  =  15 miles

To know more about distance here.

https://brainly.com/question/4199102

#SPJ4

The solution is Option D.

The inequality equation is x < -7

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

-6x > 42   be equation (1)

On simplifying the equation , we get

Divide by -1 on both sides of the equation , we get

6x < -42

Divide by 6 on both sides of the equation , we get

x < -42/6

On further simplification , we get

x < -7

So , the values of x are all integers which are less than -7 but not including -7

So , the values of x are = { -8 , -9 , -10 , ..... }

Therefore , the values of x are integers less than -7

Hence , the inequality equations is x < -7

To learn more about inequality equation click :

https://brainly.com/question/11897796

#SPJ1

The probability that Mark would hit the target with every shot when he fires 1 arrow is 0. 914 arrows.

The probability that Mark would hit the target with every shot when he fires 2 arrows is 1. 8 arrows

The probability that Mark would hit the target with every shot when he fires 3 arrows is 2. 7 arrows

To find the probability that Mark is able to hit the target, look at the probability from when 500 arrows were fired :

= 457 / 500

= 0. 914

= 91. 4 %

If Mark fires 1 arrow, the probability that he hits the target is 0. 914 arrows:

If Mark fires 2 arrows, the probability that he will hit the target is 1. 828 arrows:

= 0. 914 x 2

= 1. 828

If Mark fires 3 arrows, the probability that he will hit the target is 2. 7 arrows:

= 0. 914 x 3

= 2. 7 arrows

Find out more on probability at https://brainly.com/question/24172713

#SPJ1

The unit price at Snacks and Healthy are $5.25 and $5.4 respectively.

Generally speaking, a unit price can be defined as the price that is being charged by a seller for the sale of a single unit of product.

In order to determine the unit price, we would determine the unit rate for the cost per pound bag of mixed nut by using the following mathematical expression;

Unit price = Cost of a pound bag of mixed nuts/number of nuts

Substituting the given parameters into the unit price formula, we have the following;

Unit price for Snacks = 15.75/3

Unit price for Snacks = $5.25.

Unit price for Healthy = 13.50/2.5

Unit price for Healthy = $5.4.

Read more on unit price here: https://brainly.com/question/25381934

#SPJ1

Complete Question:

Snacks and more sells a 3-pound bag of mixed nuts for $15.75. Healthy snacking sells a 2.5-pound bag of mixed nuts for $13.50. What is the unit price at Snacks and Healthy?

Answer:

See picture

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

8 = 12k  Divide both sides by 12

k = 2/3

6 = 2/3 x  Multiply both sides by 3/2

x = 9

Answer:

65 Adults and 106 children

Step-by-step explanation

a= adults

c= children

2.5a+1.5(171-a) =321.5

a=65

now we have the number of adults we minus that by the amount of people (171) to give us for the number of children and we get 106.

Multiply the central angle by the radius squared, and divide by 2: Sector Area = r² × α / 2.

To the nearest 10 square feet, what is the area of the 130° part covered by the sprinkler?

To learn more about radius refers to:

https://brainly.com/question/27696929

#SPJ1

Answer:

m = 1/3

b = 1

Dashed

Below

Step-by-step explanation:

Answer:

the first answer is 18, the second is -16, the third answer is 26, and the last is 24

Step-by-step explanation:

The correct value of the expression is, 10.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 5/8 × 16

Now,

Simplify the expression as;

⇒ 5/8 × 16

⇒ 5 × 2

⇒ 10

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

Answer:

x=20

Step-by-step explanation:

6x-5+x+8+2x-3=180

6x+x+2x-5+8-3=180

9x=180

x=20

Answer:

x=20

Step-by-step explanation:

1. Add all like terms together.

(9x=180)

2. Then divide 9 to isolate the variable.

(x=20)

To solve an exponential equation, you need to find the values of the variables that make the equation true. Here are some steps you can follow:

Identify the base of the exponential function. This will usually be denoted by a letter such as "b" or "a".

Move all the terms that do not contain the exponential function to one side of the equation.

Isolate the exponential function on the other side of the equation.

Use the properties of exponential functions to simplify the equation. For example, you can use the fact that b^x * b^y = b^(x+y) when b is the same in both exponents.

Solve the equation by finding the values of the variables that make the equation true.

For example, consider the equation 3^x = 9. To solve this equation:

The base of the exponential function is 3.

Move the 9 to the right side of the equation: 3^x - 9 = 0

Isolate the exponential function on the left side: 3^x = 9

Use the property of exponential functions to simplify: 3^2 = 9

Solve for x: x = 2

The solution to the equation is x = 2.

To solve an exponential equation, you need to first identify what the base and the exponent are. The base is the number being multiplied by itself and the exponent is the number of times it is being multiplied.

Next, you will need to use the property of exponents that states that if the bases are the same, you can set the exponents equal to each other. For example, if you have the equation 3^x = 9, you can set the exponents equal to each other and solve for x by dividing both sides by 3. This gives you x = 2.

If you have an equation with different bases, you will need to use logarithms to solve it. Logarithms are the inverse of exponents, meaning that if you take the logarithm of an exponential equation, it will turn it into a linear equation that you can solve using algebra.

For example, if you have the equation 2^x = 8, you can take the logarithm of both sides to get x = (2^x) = (8). Since (2) = 0.301, and (8) = 0.903, you can solve for x by dividing both sides by (2) to get x = 3.

Overall, solving exponential equations requires a combination of understanding the properties of exponents and using logarithms to turn the equation into a form that you can solve using algebra.

All the possible values of each expression is given as an inequality as;

1 < a/b < 5

We are given the inequalities of the domain and range as;

2 < a < 5

1 < b < 2

Thus, we can say that the maximum value of a/b will be the division of  the maximum value of a by the minimum value of b to give;

(a/b)max = 5/1

(a/b)max = 5

Similarly, minimum value of a/b will be the division of  the minimum value of a divide by the maximum value of b to give;

(a/b)min = 2/2

(a/b)min = 1

Thus, all possible values would be expressed as;

1 < a/b < 5

Read more about linear inequalities at; https://brainly.com/question/25275758

#SPJ1

The set of vertices A(-1, 1), B(2, 2), C(5, 1), D(4,1) forms a parallelogram.

What is a parallelogram?

A parallelogram is a four-sided polygon with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other, and the opposite angles are also equal. In a parallelogram, opposite sides are also congruent, opposite angles are also congruent and consecutive angles are supplementary.

B. A(-1, 1), B(2, 2), C(5, 1), D(4,1) forms a parallelogram.

In a parallelogram, opposite sides are parallel and equal in length. In this case, AB is parallel to CD and has the same length, and AD is parallel to BC and also has the same length. This means that all the conditions for a parallelogram are met and therefore, the set of vertices A(-1, 1), B(2, 2), C(5, 1), D(4,1) forms a parallelogram.

Hence, The set of vertices A(-1, 1), B(2, 2), C(5, 1), D(4,1) forms a parallelogram.

To learn more about the parallelogram, visit:

https://brainly.com/question/970600

#SPJ1

Answer:

X = 3

Step-by-step explanation:

this is a vertical line passing through x = 3.

The approximate length of the radius, r is 4.51 cm. SO the option 1 is correct.

In the given question we have to find the approximate length of the radius, r.

As given, circle O has a circumference of approximately 28.3 cm.

The calculation of the circle's boundary is referred as the perimeter or circumference of the circle. Although the circumference of the circle determines the space it occupies.

The circumference of a circle is its length when it's actually opened and represented as a single direction. Units like cm or unit m are typically used to measure it.

As we know that the formula of circumference of circle = 2πr

As circumference of circle = 28.3 cm

So 2πr = 28.3 cm

Divide by 2π on both side, we get

r = 14.15/π

π = 3.14

So r = 14.15/3.14

r = 4.51 cm

To learn more about circumference of circle link is here

brainly.com/question/11213974

#SPJ4

The complete question is:

Circle O has a circumference of approximately 28.3 cm.

What is the approximate length of the radius, r?

a. 4.5 cm

b. 9.0 cm

c. 14.2 cm

d. 28.3 cm

The approximate length of the radius, r, is 4.5 cm.

The formula for calculating the radius, r, of a circle is r = C/2π, where C is the circumference of the circle. In order to calculate the approximate length of the radius, we must first calculate the circumference.

Let's assume that the circumference of the circle is 28.3 cm. To calculate the circumference, we can use the formula C = 2πr. We know the circumference and want to solve for the radius, so we can rearrange the formula to solve for r: r = C/2π.

Plugging in our values, we can calculate the approximate length of the radius: r = 28.3 cm/2π = 4.5 cm. Therefore, the approximate length of the radius, r, is 4.5 cm.

Learn more about length of the radius here:

https://brainly.com/question/16142828

#SPJ4

The 40th term of the sequence is 35 if the nth term is given as -5 + n.

Given,

nth term, aₙ = - 5 + n or n - 5

For 40th term n = 40

or 40th term = a₄₀ = 40 - 5

a₄₀ = 35

Therefore, the 40th term of the sequence is 35, if the nth term is given as -5 + n.

To learn more about the nth term:

https://brainly.com/question/1582366

The equation of the line will be 8x+10y=0

The equation of a line when two points are given is

y-y₁=m(x-x₁)

where,m=(y₂-y₁)/(x₂-x₁)

Here, m=(4--4)/(-5-5)

            =8/-10

Now,

 y-(-4)  = (8/-10)(x-5)

-10y-40=8x-40

8x+10y=0

The equation is 8x+10y=0

To know more about equation of a line, refer this link

https://brainly.com/question/11429041?referrer=searchResults

Answer:

Step-by-step explanation:

52496 + 44929 + 35824 = 133,249 people

The principal money that will be deposited to accumulate 100,000 is 1 000 000 at 1% simple interest for 10 years

The principal is calculated using the simple interest formula

The formula is stated as

Simple interest = Principal *  time *  rate / 100

In the problem the give data include

principal = ?

rate= 1%

time = 10 years

plugging in the values

Simple interest = Principal *  time *  rate / 100

100 000 =  P * 10 * 1 / 100

10 000 000 =  P * 10

P = 1000 000

The principal is 1 000 000

Learn more on simple interest at:

https://brainly.com/question/29785550

#SPJ1

The linear function is a = -16d + 84

You do not have enough money to buy the​ sweatshirt.

The general form of a linear function is y = mx + b

where m is the rate of spending and b is the starting money

Given that: you go on a 4​-day vacation and bring ​$84 for spending money. You spend ​$16 each of the first 3 days.

m = -16 (negative because spending means decrement), b = 84, y = a (amount of​ money left) and x = d (days).

Thus, the linear function will be:

a = -16d + 84

On the last day, d = 4. Thus, the amount left will be:

a = -16d + 84

a = -16(4) +84

a = -64 + 84

a = $20

The amount left is $20 (which is less than $38). Therefore, you do not have enough money to buy the​ sweatshirt.

Learn more about linear function on:

https://brainly.com/question/4025726

#SPJ1

The approximate difference in the lengths of the two segments is given as follows:

3.2 units.

The coordinates of the points have the following format:

[tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex]

Hence the distance is given as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of a segment is given by the distance between it's two endpoints.

Hence the length of segment LF is given as follows:

[tex]D_{LF} = \sqrt{(3 - (-2))^2+(1 - 3)^2}[/tex]

[tex]D_{LF} = \sqrt{29}[/tex]

[tex]D_{LF} = 5.4[/tex]

The length of segment JR is given as follows:

[tex]D_{JR} = \sqrt{(-3 - (-1))^2+(2 - 1)^2}[/tex]

[tex]D_{JR} = \sqrt{5}[/tex]

[tex]D_{JR} = 2.2[/tex]

Hence the distance is of:

5.4 - 2.2 = 3.2 units.

More can be learned about the distance between two points at https://brainly.com/question/7243416

#SPJ1

There are 719 integers between 1 and 1000 that are not divisible by 3, 5, or 7.

1. 1000/3 = 333.333 (333 integers divisible by 3)

2. 1000/5 = 200 (200 integers divisible by 5)

3. 1000/7 = 142.857 (142 integers divisible by 7)

4. 1000 - (333 + 200 + 142) = 325

5. 1000 - 325 = 675

6. 675 + 333 + 200 + 142 = 1350

7. 1350 - 1000 = 350

8. 350/3 = 116.667 (116 integers divisible by 3 and 5)

9. 350 - 116 = 234

10. 234/7 = 33.429 (33 integers divisible by 7 and 5)

11. 234 - 33 = 201

12. 201/5 = 40.2 (40 integers divisible by 5 and 7)

13. 201 - 40 = 161

14. 161/3 = 53.667 (53 integers divisible by 3 and 7)

15. 161 - 53 = 108

16. 108/7 = 15.429 (15 integers divisible by 3 and 5 and 7)

17. 108 - 15 = 93

18. 1000 - (333 + 200 + 142 + 116 + 33 + 40 + 53 + 15) = 719

19. 719 number's between 1 to 1000 are not divisible by 3 or by 5 or by 7

Learn more about integer here

https://brainly.com/question/15276410

#SPJ4

Using the provided equation of the ellipse as [tex]\frac {x^2}{49} + \frac {y^2}{64} = 1[/tex]  and comparing with the general form, The answer is (0,+- 3.87)

An ellipse is a geometric shape that is defined as the set of all points such that the sum of the distances from two fixed points (called the foci) is constant. It is a closed curve that is similar to a circle, but with a different shape. An ellipse can be defined by its semi-major and semi-minor axes, and its center. It is often used in mathematics and physics to describe the orbits of planets, moons, and other celestial bodies. The semi-major axis is the distance from the center of the ellipse to the longest point on the ellipse, and the semi-minor axis is the distance from the center of the ellipse to the shortest point on the ellipse.

The standard equation of an ellipse can be written as:

(x - h)^2/a^2 + (y - k)^2/b^2 = 1

where (h, k) is the center of the ellipse, and a and b are the semi-major and semi-minor axes, respectively. The semi-major axis is the distance from the center of the ellipse to the longest point on the ellipse, and the semi-minor axis is the distance from the center of the ellipse to the shortest point on the ellipse. The foci (plural of focus) of an ellipse are two points located inside the ellipse that are used to define its shape.

equation provided,

[tex]\frac {x^2}{49} + \frac {y^2}{64} = 1[/tex]

[tex]64x^2+49y^2-3136 = 0[/tex] is the general form.

foci = (0,+- 3.87)

To learn more about ellipse visit:

https://brainly.com/question/14281133

#SPJ1

Answer:

foci (0 +- sqrt 15)

Step-by-step explanation:

This standard form is given. We are given [tex]a^{2}[/tex] = 64 and [tex]b^{2}[/tex] = 49. We need to figure out [tex]c^{2} =a^{2} -b^{2}[/tex]. Substitute 64 for a, and 49 for b.

[tex]c^{2} =64-49[/tex]

[tex]c^{2} =15[/tex]

Take the square root of both sides to get [tex]\sqrt{c^{2} } =\sqrt{15}[/tex].

[tex]c=\sqrt{15}[/tex]

This is a horizontal ellipse, so the x-values will be 0 for each focal point.

The foci are (0, ±[tex]\sqrt{15}[/tex])

c. Seismic waves are refracted and reflected at two distinct boundaries within the Earth.

d. The mantle contains sixty-seven percent of the Earth's mass and eighty percent of its volume

e. A Dan/ish scientist studying earthquake waves generated in inner core discovered that coming  P' waves directly through the Earth speed up at a depth of 5140 kilometers.

f. The mantle is composed of iron, calcium, sodium, potassium aluminum, silicon and oxygen compounds.

g. Sir Isaac Newton's explanation of force of gravity helped him determine that the rocks inside the Earth were denser than the rocks on the surface of the Earth.

h. Scientists found that the travel time of earthquake waves differ greatly from predicted travel times if the Earth were of homogenous composition.

i. The mantle lies between the crust and the core and is divided into three regions.

j. When the Earth was forming the dense materials sank into the core and the lighter materials rose toward the surface

Material suddenly moving within the Earth, such as when an earthquake causes a fault to slip, produces seismic waves.

Landslides, volcanic eruptions, explosions, and so on are instances of movement of materials which results to seismic waves

Learn more about seismic waves at:

https://brainly.com/question/8553835

#SPJ1

Answer:

Step-by-step explanation:

something

In 7th-grade math, you can use  methods like using a protractor, angle addition, and subtraction, angle bisectors,complementary and supplementary angles, properties of parallel lines, and using triangles to find angles:

Learn more about How to find angles in 7th-grade math here: https://brainly.com/question/23660857

#SPJ4

Answer:

$109.23

Step-by-step explanation:

Discount = 128.5 × 15/100

Discount = 128.5 x 0.15

You save = $19.28

Final Price = Original Price - Discount

Final Price = 128.5 - 19.275

Final Price = $109.23