A race car driver won a 700 mile race with a speed of 192.9 miles per hour. Find the drivers time

Applying system of equations, the cost of each is: $2.25 per chair and $8.5 per table.

Using a system of equations we can find the cost of rent for each chair and table.

Let, x = chair

y = table.

Therefore, we will have the following system that represents the situation:

2x + 3y = 30 --> eqn. 1

4x + 8y = 77 --> eqn. 2

Multiply eqn. 1 by 4 and eqn. 2 by 2:

8x + 12y = 120 --> eqn. 1

8x + 16y = 154 --> eqn. 2

Subtract equation 2 from 1:

-4y = -34

y = 8.5 [the table cost $8.5 per one]

Substitute y = 8.5 into equation 1:

2x + 3(8.5) = 30

2x = 30 - 25.5

2x = 4.5

x = 4.5/2

x = 2.25 [each chair cost $2.25]

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Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

a) To find f(-2), first determine which part of the piecewise function the x-value of -2 falls into.

b) f(5) can be computed -1.5

c) In f(x) = -7/2, x = -3.

We have,

A type of function that is defined by multiple sub-functions, each of which is applied to a specific interval or domain of the main function. It is made up of individual pieces, each of which is defined by an equation with a specific domain.

a) To find f(-2), first determine which part of the piecewise function the x-value of -2 falls into. Since -2 is greater than -6 and less than 0, the first part of the piecewise function applies. Thus, f(-2) can be computed as follows:

f(-2) = 1/2(-2) - 2

= -3

b) To find f(5), first determine which part of the piecewise function the x-value of 5 falls into. Since 5 is greater than 0 and less than or equal to 8, the second part of the piecewise function applies. Thus, f(5) can be computed as follows:

f(5) = 1/2(5) - 4

= -1.5

c) To find x when f(x) = -7/2, first determine which part of the piecewise function applies. Since -7/2 is less than 0, the first part of the piecewise function applies. Thus, x can be computed as follows:

-7/2 = 1/2x - 2

x = -4+7

= -3

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complete question:

attached

The value of x in the pentagon JKLMN is 7.2.

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The pentagons ABCDE and JKLMN are similar.

when two figures have the same shape but their sizes are different, then such figures are called similar figures.

We need to find the value of x.

1/1.8=4/x

Apply cross multiplication

x=4×1.8

x=7.2

Hence, the value of x in the pentagon JKLMN is 7.2.

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The possible amounts Susan will spend on candy is $25 and above.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this situation, since Susan will buy more than 6 pounds of candy, the same expression will be illustrated by x.

x > ($4 × 6)

x > $24

In this case, she'll have to spend $25 or more.

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Work Shown:

ST + TU = SU .... segment addition postulate

(4x-4) + (4x-10) = 5x+1

8x-14 = 5x+1

8x-5x = 1+14

3x = 15

x = 15/3

x = 5

Then use this x value to determine the segment lengths.

As a check: ST+TU = 16+10 = 26 which matches with SU = 26. This confirms ST+TU = SU is the case and it confirms the final answer.

Answer:

46.8 cm²

Step-by-step explanation:

The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).

The area of the rectangle is \((6)(10)=60\) cm².

Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.

Answer:

sorry don't know the answer.........

Answer:

a. 40

Step-by-step explanation:

The major arc along the perimeter of the circle between Stanley and Frank is 60 degrees.

If there are 18 friends sitting equally spaced in a circle, then the measure of the central angle between any two consecutive friends is

= 360°/18

= 20°.

Since there are three people between Stanley and Frank, we can count 3 consecutive central angles between Stanley and Frank.

Thus, the measure of the major arc along the perimeter of the circle between Stanley and Frank is:

20° + 20° + 20° = 60°

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Answer:

The answer is 280. Here u go :)

Step-by-step explanation:

Many people are getting the number of friends mixed up, me included. The number for this problem is 18

1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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325 meters in 25 seconds ​

To find out the unit rate divide the total meters by the total seconds

so

325/25=13 m/sec

therefore

the answer is

Answer:

Length: 11

Width: 5

Step-by-step explanation:

Let W = width

Let L = length

Length is 4 less than 3 times the width  ==>  L = 3*W - 4  

Let P = Perimeter = 2*W + 2*L

Perimeter is 22 more than twice the width  ==>  P = 2*W + 22

Setting the 2 expressions for the perimeter equal to each other gives  

2*W + 2*L = 2*W + 22

2*L = 22

L = 11  

So 11 = 3*W - 4

3*W = 15

W = 5

The length is 11 and the width is 5  

Check:  3*W - 4 = 11 = Length

           Perimeter = 32 = 22 more than 2*5 = 10

Answer:

Everything bro

Step-by-step explanation:

9514 1404 393

Answer:

  F ∪ H = [2, ∞)

  F ∩ H = (6, ∞)

Step-by-step explanation:

Graphs of the two sets are shown in the attachment. Set F is shown in red; set H is shown in blue. The solid dot means the point is included in the set, equivalent to a square bracket in interval notation. The open dot means the point is not included in the set, equivalent to a round bracket (parenthesis) in interval notation.

F ∪ H

The union of two sets is the set that contains elements that are members of either set. Here, set F includes all of the elements of set H, so the union of the to sets is simply set F.

  F∪H = F = [2, ∞)

__

F ∩ H

The intersection of two sets is the set of elements that are common to both sets. Here, every element of set H is also an element of set F, but not vice versa. So, the intersection of the sets is equivalent to set H.

  F∩H = H = (6, ∞)

Answer:

x = sqrroot(5)

Step-by-step explanation:

The radical form of x²=5 is x= ±√5.

The √ symbol that is used to denote square root or nth roots.

An expression with a square root is referred to as a radical expression. Radicand: A value or phrase included within the radical symbol.

Radical notation is the usage of a root in an expression, such as the square or cube root.

For example,  radical form is ∛3 = √27.

Given:

x²=5

Now, we have to write it in the radical form.

So, we can write

x= ±√5

Hence, the radical form of x²=5 is x= ±√5.

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The terms mean median, mode, and range describe properties of statistical distributions.

The statistical distributions' characteristics are described by the terms mean, median, mode, and range. The set of all potential values for terms that indicate predetermined events is known as a distribution in statistics. A term's value stated as a variable is referred to as a random variable.

The two main categories of statistical distributions are as follows. There are discrete random variables in the first category. This indicates that each phrase has a distinct, precise numerical value. A continuous random variable is present in the distribution of the second major kind. An unlimited number of possible values can be represented by a continuous random variable. A term is said to have a probability density function when any value can be assigned to it within an uninterrupted interval or span.

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On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

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Answer:

Here are the angles in each quadrant with a common reference angle of 165°:

First quadrant: angle is 15° (subtract 165° from 180°)

Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)

Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)

Fourth quadrant: angle is 195° (subtract 165° from 360°)

Answer:

99.5

Step-by-step explanation:

Radius = Diameter/2

199/9

=99.5metres

Answer:

87

Step-by-step explanation:

If Shelby and Aisha baked a total of 116 dog treats to sell, and Shelby baked 3 times as many dog treats that Aisha, then we need to figure out what 3/4 of 116 dog treats is.

116 ÷ 4 = 29

29 × 3 = 87

Shelby baked 87 dog treats.

Answer:

2.03

Step-by-step explanation:

In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy  the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).

Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.

From the question, p = number of pounds Juan will buy.

candy=costs $8 per pound

$20/$4 = 5 pounds

p>5

at least 5 pounds

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What sequence of transformation are we applying

Answer:

450

Step-by-step explanation:

9×50=450

have a good day

Answer:

n + 45

Step-by-step explanation:

The question is asking to write an algebraic expression for the sum of a number and 45. We know we are adding a number to 45. So we use addition. But, we don't which number we are adding to 45. So we just use a variable. I used "n", but use whatever letter you want ( x, y, z, etc). I recomend using the same variable that your intrcuctor uses.

Hope this helps.

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

y= -2x+4 or -2x+4

Step-by-step explanation:

Subtract 4x and move it to the other side.

our new equation is 2y=-4x+8

then divide 2 by everything.

This leaves y alone on the left side.

So y= -4x divided by 2 +8

-4 divided by 2 is -2.

8 divided by 2 is 4.

Answer:

the image is sideways

Step-by-step explanation:

Answer:

well buddy see you thinking to hard its right there just relax and look closely

Step-by-step explanation: