Solve by using a proportion. Round answer to the nearest hundredth of necessary.
A map scale designates 0.75 inch = 50 miles. If the distance between two towns on the map is 2.75 inches, how many miles must you drive
to go from the first town to the second town?
Answer:
miles

Answer:

4x(7x5) = 4x(35)

To evaluate the expression, we must first perform the operations inside the parentheses. In this case, 7x5 = 35. Then we can multiply 4 with that result, which gives us 4x35 = 140. So the final value of the expression is 140.

Answer: 140

Step-by-step explanation:

4 x (7 x 5)

7 x 5 = 35

4 x 35

= 140

The term "solution set" refers to the collection of all possible solutions to an equation thus  {x|x≤4.5} holds it . The value is a solution because the equation holds true if both sides are equal.

Option B is correct.

The distinct items that make up a set are referred to as the set's members or elements. Set notation is a method for representing a set using a combination of symbols and numbers, and it can be used to define sets. "x | -5 x 4.5" is another way to show the solution set of the inequality -5 x 4.5 on a number line. Interval notation is the method by which all real numbers between two given values can be represented. The solution set can be read as "x such that -5 is less than x and x is less than or equal to 4.5" because "|" denotes "such that" and the vertical line denotes "and."

When the lines coincide and have the same y-intercept, the number of solutions to an equation system is infinite. If the slope and y-intercept of the two lines are the same, they are in fact on the same exact line.

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Answer:c

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don't know I'm just asking the question

Marvin should put at least $45 more cash in his wallet in order to have at least $60.

Let x be the amount of cash that Marvin needs to put in his wallet. We know that he wants to have at least $60, and he currently has $15, so we can write the inequality as:

x + 15 ≥ 60

To solve for x, we need to subtract 15 from both sides of the inequality:

x ≥ 60 - 15

x ≥ 45

Marvin should put at least $45 more cash in his wallet in order to have at least $60.

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Hi There!

Your Answer could be 8 don't trust me i might be wrong

The area of the triangle formed by connecting the three points is 6 square units. The result is obtained by using the determinant method.

The area of a triangle in coordinate geometry can be found by using the determinant formula.

[tex]Area \: of \: triangle = \frac{1}{2} \left[\begin{array}{ccc}x_{1}&y_{1}&1\\x_{2}&y_{2}&1\\x_{3}&y_{3}&1\end{array}\right][/tex]

The three points of a triangle are:

Using the determinant formula, the area of the triangle is

[tex]= \frac{1}{2} \left[\begin{array}{ccc}2&2&1\\4&2&1\\3&3&1\end{array}\right][/tex]

= ½ |2(2-(3)) - 4(2-(3)) + 3(2-2)|

= ½ |2(-6) - 4(-6) + 0|

= ½ |-12 + 24|

= ½ |12|

= 6 square units

Hence, the area of the triangle is 6 square units.

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The mean height of the members of the football club is 163.4 to rounded to 1 decimal place.

The mean height It is calculated by summing up all the data values and dividing by the total number of data points. The mean can also be represented by the point at which the frequency polygon would balance if it were a physical object.

The values with their corresponding frequencies are:

height: 120 × frequency: 8 = 960

height: 140 frequency: 11 = 1549

height: 160 frequency: 17 = 2720

height: 180 frequency: 18 = 3240

height: 200 frequency: 10 = 2000

sum frequency = 64

sum of all data values = 10460

mean height = 10460/64

mean height = 163.4375

Therefore, the mean height of the members of the football club is 163.4 to rounded to 1 decimal place.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Looking for improper or mixed fraction:}[/tex]

[tex]\mathsf{310\% \rightarrow \dfrac{310}{100} \rightarrow 3.1}[/tex]

[tex]\mathsf{\rightarrow 3.1 \times \dfrac{10}{10}}[/tex]

[tex]\mathsf{\rightarrow \dfrac{3.1}{1}\times\dfrac{10}{10}}[/tex]

[tex]\mathsf{\rightarrow \dfrac{3.1\times10}{1\times10}}[/tex]

[tex]\mathsf{\rightarrow \dfrac{31}{10}}[/tex]

[tex]\mathsf{\rightarrow 3 \dfrac{1}{10}}[/tex]

[tex]\huge\text{Therefore, your answers should be:}[/tex]

[tex]\huge\boxed{\mathsf{Fraction \rightarrow \dfrac{310}{100}\ \& \ Mixed\ Number \ \rightarrow 3\dfrac{1}{10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The minimum amount of framing Lorraine needs for the square painting is 31 inches.

We can use the Pythagorean theorem to calculate the length of the side of the square given the length of its diagonal. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

We know that the diagonal of the square painting is 44 inches, and since the diagonal of a square bisects its angles, the square can be divided into two congruent right-angled triangles. Therefore, the length of one side of the square can be calculated using the Pythagorean theorem:

44 inches^2 = x^2 + x^2

x^2 = 11*11

x = 11 inches

Since the square painting has a side length of 11 inches, and the framing material is sold by the inch, Lorraine will need a minimum of 11 inches of framing on each side, for a total of 44 inches.

The possible values of x such that 33+x remains a positive integer in ascending order are 1,3,11 and 33.

An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.

Integer; ....-2, -1, 0, 1, 2, .....

Given the expression, 33+x

Now positive integers are whole numbers ( 1,2,3,...)

To 33/x be the whole number and x is also a positive integer.

33/1 = 33 (1,3 Positive integer)

33/3 = 11 (3,11 Positive integer)

33/11 = 3 (11,3 Positive integer)

33/33 = 1 (33,1 Positive integer)

Hence "The possible values of x such that 33+x remains a positive integer in ascending order are 1,3,11 and 33".

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Answer:

x=1, y=4

Step-by-step explanation:

5x+y=9

10x-7y=-18

(Multiply top equation by -2)

-10x-2y=-18

10x-7y=-18

(Add)

-9y=-36

(Divide -36 by -9)

y=4

(Substitute y(4) into the top equation)

5x+4=9

(Subtract 4)

5x=5

(Divide 5)

x=1

Answer: x=1 , y=4

Step-by-step explanation:

5x+y =9          y=9-5x

10x - 7y = -18

10x-7(9-5x)=-18                   y=9-5x

10x-63+35x=-18                  y=9-5(1)

45x-63=-18                          y=4

45x=-18+63

45x=45

x=1

Step-by-step explanation:

the surface area of a half-cylinder is, surprise, surprise, half of the surface area of a whole cylinder ...

the surface area of a cylinder is

A=2×pi×r×h + 2×pi×r²

r being the radius, h being the height of the cylinder.

the formula simply adds

the sidewall area (which is a rectangle of

circle circumference × height)

+

the top and base circle areas

half of this area calculation for a half-cylinder is

A/2 = pi×r×h + pi×r²

Dyscalculia is a learning disorder that affects a person’s ability to do the math.

A learning problem called dyscalculia diminishes a person's capacity for math. Similar to how dyslexia impairs reading-related brain regions, dyscalculia interferes with the knowledge and skills connected to math and numbers. Although dyscalculia often first manifests in childhood, it can even affect adults who are unaware of it.

The signs of this condition typically emerge in childhood, particularly as kids start to master the fundamentals of math. However, many adults who suffer from dyscalculia are unaware of it. When forced to do the math, people with dyscalculia frequently experience mental health problems like anxiety, depression, and other distressing emotions.

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A number that is less than 5 / 8 but is greater than 1 / 9 is A. 0. 5.

To find the number that is less than 5 / 8 but greater than 1 / 9, first convert both fractions to decimals.

5 / 8 in decimals is:

= 5 / 8

= 0. 625

1 / 9 in decimals is:

= 1 / 9

= 0. 111

The number from the given options that is less than 5/8 but greater than 1/9 is therefore 0. 5 as it is less than 5 / 8 but more than 1 / 9.

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The options for the question include:

the solution of the given problem of coordinates comes out to be  the coordinate P = (7, 0.4).

A coordinate system is a technique used in geometry to precisely locate points or other topological objects on a continuum, such as Euclidean space, using one or more numbers or coordinates. A point or item on an a double plane is located using a pair of integers known as coordinates. The x and y positions are two integers that describe a point's location on a 2D plane.

David want to find the coordinate are a useful tool for segmenting lines into smaller units.

P's coordinate is P = (7, -0.4)

The criteria are as follows:

A = (8,0)

=> B = (3,-2) (3,-2)

m: n=1:4

Using P = mx2+nx1 my2+ny

m+n

m+n, line ratio is computed.

The result is:

P 1x3+4x8 /1x-2+4x0 = 1+4 / 7

=> P = 35, 2

=>P = (7, -0.4) (7, -0.4)

1+4

P therefore has the coordinate P = (7, 0.4).

Therefore , the solution of the given problem of coordinates comes out to be  the coordinate P = (7, 0.4).

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The dimensions of the rectangle are 8 inches as width and 13 inches as length.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

The equation is given as:

x² + 5x - 104.

x² + 13x - 8x - 104

x(x + 13) - 8 (x + 13).

x - 8 = 0

x = 0 + 8

Width = 8

Length = x + 5

= 8 + 5.

= 13

The width is 8 inches and length is 13 inches.

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Determine the solutions of the equation. What solution

makes sense for the situation?

A rectangle has a length that is 5 inches greater than its

width, and its area is 104 square inches. The equation (x

+5)x = 104 represents the situation, where x represents

the width of the rectangle.

(x + 5)x = 104

x2 + 5x - 104 = 0

What are the dimensions of the rectangle?

The three points that lie on a line y = -2/5x with a slope -2/5 will be:

(0, 0)

(5, -2)

(10, -4)

Given slope = m = -2/5. We suppose the line passes through the origin, so b = 0

substituting m = -2/5 and b = 0 in the slope-intercept form

y = -2/5x + 0

y = -2/5x

Thus, the equation of line with the slope m = -2/5 and passes through the origin (0, 0) will be:

y = -2/5x

As the equation of line passes through (0, 0), thus the point (0, 0) lies on the line.

Putting x = 0 in the equation y = -2/5x

y = -2/5 × (0)

y = 0

Thus, (0, 0) is the point which also passes through the line

Putting x = 5 in the equation y = -2/5x

y = -2/5 × 5

y = -2

Thus, (5, -2) is the point which also passes through the line.

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Answer:

Step-by-step explanation:

Hello! Here are the steps to solve 4x - 8 = 3x + 13

4x - 8 = 3x + 13
    + 8         + 8
____________

4x       = 3x + 21
-3x        -3x
____________
x = 21

There is one solution because there is only one possibility for x.  Let's check the answer.

4(21) - 8 = 3(21) + 13
84 - 8 = 63 + 13
76 = 76

x = 21, x does equal 21 and the answer that there is only one solution is correct.

No solutions would mean that after you solved the equation, you would get something like 9 = 7, 2 = 5, etc. which is not true.  No solutions would mean that you would receive a false equation.

Infinite solutions would mean that after you solved an equation, such as 2x = 2y, you would get x = y.  There are infinite solutions for this because you can substitute infinite numbers in for x and y.  1 = 1, 2 = 2, 3 = 3, 4 = 4, 5 = 5, etc.

Answer:

Step-by-step explanation:The exponent of a number shows how many times the number is multiplied by itself.

According to the rules of exponents,

We know that, am ÷ an = am − n

(5m ÷ 5−3) = 55

5m−(−3) = 55

5m + 3 = 55

The bases are the same on both the sides, so their exponents must be equal.

∴ m + 3 = 5

⇒ m = 5 − 3

⇒ m = 2

Country B is more efficient than Country A when it comes to producing cars and tanks.

Country A takes twice as long to produce a car (30 minutes) than Country B (12 minutes). However, Country A takes 20 minutes to produce a tank while Country B takes 10 minutes, cutting the amount of time in half.

We can measure the efficiency of each country by calculating the number of cars and tanks each country can produce in an hour. We can do this using the following formula:

Cars per hour = (60 minutes/minutes to produce car)

Tanks per hour = (60 minutes/minutes to produce tank)

For Country A, the number of cars produced in an hour is (60 minutes/30 minutes) = 2 cars per hour and the number of tanks produced in an hour is (60 minutes/20 minutes) = 3 tanks per hour.

For Country B, the number of cars produced in an hour is (60 minutes/12 minutes) = 5 cars per hour and the number of tanks produced in an hour is (60 minutes/10 minutes) = 6 tanks per hour.

Therefore, Country B is more efficient than Country A when it comes to producing cars and tanks.

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confounding variables; the medical study did not control for other factors that could have caused the lower blood pressure in pet owners.

A confounding variable is an extraneous factor that can influence the results of a study. In this case, the medical study reported that people who owned pets had lower blood pressure than those who did not own pets. This led some doctors to believe that pet ownership had positive health benefits. However, further analysis of the data revealed that the pet owners in the study also exercised more and smoked less than those who did not own pets. This means that the pet ownership was not necessarily responsible for the lower blood pressure, but rather these other factors could have contributed to the results. Thus, the study lacked control for these confounding variables, which could have invalidated the results.

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The possible minutes Ali will run today can be represented by the inequality x ≥ 66.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given that,

Minutes taken to complete one lap = 6 minutes

Also, he will run at least 11 laps today.

This means that Ali will run laps greater than or equal to 11 laps.

Let x be the number of minutes taken by Ali today.

x ≥ 6 × 11

x ≥ 66

Hence Ali runs 11 laps in at least 66 minutes.

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The complete question is as follows :

Ali runs each lap in 6 minutes. He will run at least 11 laps today. What are the possible numbers of minutes he will run today?

The y-intercept for function f(x) has the same value as the x-intercept of f-inverse.

What is a function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and co-domain or range. A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

There are several types of functions in math. Some important types are:

Injective function or One to one function: When there is mapping for a range for each domain between two sets.

Surjective functions or Onto function: When there is more than one element mapped from domain to range.

Polynomial function: The function which consists of polynomials.

Inverse Functions: The function which can invert another function.

As

we can see from figure that y-intercept for f(x)=3

and x-intercept for f inverse = 3

Hence,

         The y-intercept for function f(x) has the same value as the x-intercept of f-inverse

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Answer:

x-intercept

domain of f

Step-by-step explanation:

i just did it

Answer:

Step-by-step explanation:

78,500 x 0.02 = 1,570--year 1 raise

(78,500 + 1,570) x 0.02 = 1,601.4--year 2 raise

(78,500 + 1,570+ 1,601.4) x 0.02 = 1,633.428--year 3 raise

(78,500 + 1,570+ 1,601.4+1,633.428) x 0.02 = 1666.1--year 4 raise

(78,500 + 1,570+ 1,601.4+1,633.428+1666.1) x 0.02 = 1699.42--year 5 raise

just keep doing this till you get to year 10 and then add up the total of money gained to the initial salary

The area of the octagon is 0.875 units square.

Two unit squares share the same center. The overlapping region of the two squares is an octagon with perimeter 3.5.

Area of a triangle:

We need to know how to calculate the area of a triangle, in order to solve this question. The area of a triangle with base b and height h is [tex]\frac{hb}{2}[/tex]. An octagon is a 2D figure with 8 sides.

Let A, B, C, D, E, F, G, and H be eight consecutive vertices of the octagon. Let 0 be the common center of the square units.

Draw the segments OA, OB, OC, OD, OE, OF, OG and OH, connecting the vertices with the common center O of the squares.

The segments divide the octagon into 8 concurrent triangles.

In these triangles, AB, BC, CD, DE,EF, FG, GH, and HA are the bases; the height is 12 of a unit in all the triangles.

Thus, the area of the octagon=[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{2}[/tex]×(AB+BC+CD+DE+EF+FG+GH+HA)

        =[tex]\frac{1}{4}[/tex]×(Perimeter of the hexagon)=14×3.5=3.54=0.875

Therefore, the area of the octagon is 0.875 units square.

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Answer: 43

Step-by-step explanation:

Multiply 8.6 and 10 then subtract 7 then you do 4.3 times 10 then you subtract then subtract the values you get

Answer:

[tex]\displaystyle \frac{1}{10}(x+9)[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{1}{10}x+\frac{9}{10}=\frac{1}{10}(x+9)[/tex] because [tex]\displaystyle \frac{1}{10}(x+9)=\frac{1}{10}(x)+\frac{1}{10}(9)[/tex] by the Distributive Property