Which of the following is the correct mathematical expression
for:

The sum of x and 5

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Yes


Related Questions

help meeeeeee pleaseee !!!!

Answers

The function that represents the cost function is c(x) = 75 + 0.25x

What is the Cost Function

To find the cost function c(x), we have to write a linear equation or linear function to represent this.

Initial charge = 75charge per copy = 0.25x = number of copies

The cost function can be expressed as a function of the number of copies made which can be represented as

[tex]c(x) = 75 + 0.25x[/tex]

The cost of printing x number of pages is c(x) = 75 + 0.25x

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Create an image of rectangle ABCD that is
translated 6 units to the right and 3 units up
by plotting the corresponding vertices.
Plot the vertex that corresponds to A.

Answers

The image of the rectangle ABCD translated 6 units to the right and 3 units up is shown below .

In the question ,

a rectangle is given

the vertex of the rectangle ABCD is given as

A(-10,-6) , B(-10,-2) , C(-6,-2) , D(-6,-6) .

On applying the translation 6 units to right and 3 units up ,

the rule is (x,y)→(x+6,y+3)

by applying the rule for the translation

we get image as

A'(-4,-3) ,B'(-4,+1) , C'(0,1) , D'(0,-3)

The image is plotted below .

Therefore , The image of the rectangle ABCD translated 6 units to the right and 3 units up is shown below .

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A restaurant serves sandwiches using slices of bread in the shape of a right triangle. If the legs of the
triangle are each 6 inches, how long is the hypotenuse in inches? Round your answer to the nearest inch.
6 inches
8 inches
10 inches
12 inches

Answers

Answer: 8 inches

Step-by-step explanation:

1) Set up the equation

If you know both sides of the triangle are 6 inches you can set a Pythagorean equation. C is the hypotenuse

[tex]6^2+6^2=c^2\\36+36=c^2\\72=c^2\\\sqrt{72} = \sqrt{c^2} \\8.485 = c[/tex]

2) Rounding

After you found 8.485, the tenth place is less the 5, so it will round down to 8 inches.

The answer is 8 inches

3/4 times x equals 3.45 solve for x

Answers

4.6

1) Since 3/4x = 3.45, then we can solve it for x

3/4x = 3.45 Multiply both sides by 4 to eliminate the fraction

3x =13.80 Divide both sides by 3

x= 4.6

2) So x is equal to 4.6, and that is the answer

Assume that Lines L and M are parallel. Find a pair of acute, corresponding angles.

Select all that apply.

A. q and w
B. r and y
C. x and s
D. q and y
E. s and y
F. r and x
G. t and w
H. t and z

Answers

Answer:

Choice E and F

Step-by-step explanation:

acute = less than 90

48% of people in a certain country like to cook and 54% of people in the country like to shop, while 26% enjoy both activities. What is the probability that a randomly selected person in the country enjoys cooking or shopping or both? The probability that a randomly selected person in the country enjoys cooking or shopping or both is ________

Answers

The probability that a randomly selected person in the country enjoys cooking or shopping or both will be;

⇒ P (C ∪ S) = 0.76

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

48% of people in a certain country like to cook.

And, 54% of people in the country like to shop, while 26% enjoy both activities.

Now,

Probability to like the cook P (C) = 48%

Probability to like the shop P (S) = 54%

Probability to like the both activity P (C∩S) = 26%

So, Probability to like the both activity P (C ∪ S) is calculated as;

P (C ∪ S) = P (C) + P (S) - P (C ∩ S)

P (C ∪ S) = 48% + 54% - 26%

P (C ∪ S) = 102% - 26%

P (C ∪ S) = 76%

P (C ∪ S) = 0.76

Thus, The probability that a randomly selected person in the country enjoys cooking or shopping or both will be;

⇒ P (C ∪ S) = 0.76

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The average age of 6men is 35years and the average age of 4 of them is 32years. Find the age of the remaining 2 men if one is 3years older than the other

Answers

The age for two men is 39.5 and 42.5.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific variables in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables.

Given:

Average of 6 men = 35

Average of 4 men  = 32

So, Total age of 6 men

=6x35

=210 years

and, Total age of 4 men

=32  x 4

=128 years

Then, the remaining age for 2 people

= 210 - 128

=82 years

Let the age for two be x and y

then , x+ y=82

and x-y=3

On solving

2x =85

x=42.5 years

and y=39.5 years

Hence, the age for two men is 39.5 and 42.5.

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The circle graph shows how the annual budget for a company is divided by department. Use this graph to answer the questions below.(a) Which department gets approximately one-fourth of theannual budget?Select OneSupportEngineeringMediaEditorialResearch(b) Approximately what percentage of the budget goes toEngineering and Support combined?20% O 40%60%80%SalesХ5?

Answers

Observe the given graph carefully.

In a circle graph, the circle is divided into different sectors, each characterized by its central angle.

The complete circle measures 360 degrees. So the complete distribution (100% data) corresponds to 360 degrees.

In the given problem, we are concerned with the budget,

[tex]360^{\circ}=100\text{ percent budget}[/tex]

(a)

Consider the following,

[tex]\begin{gathered} \text{ Total budget}=360^{\circ} \\ \frac{1}{4}\times\text{ Total budget}=\frac{1}{4}\times360^{\circ}=90^{\circ} \end{gathered}[/tex]

So, one-fourth of the budget will correspond to the department which covers the 90-degree sector of the circle graph.

As observed from the graph, the most suitable department under this criteria is the Engineering Department.

Thus, Engineering Department gets approximately one-fourth of the annual budget.

(b)

Consider that the departments Engineering and support combiningly cover a little more than one-third of the area of complete circle.

Consider the following,

[tex]\begin{gathered} 360^{\circ}=100\text{ percent} \\ 120^{\circ}=\frac{120}{360}\times100=33.33\text{ percent} \end{gathered}[/tex]

Note that the area covered by the department is a little more than one-third, so the corresponding percentage value must also be a little more than 33.33%.

From the available options, 40% is the value available next to 33.33%, so this should be the most suitable choice.

Thus, it can be concluded that approximately 40% of the annual budget goes to the departments Engineering and Support combined.

Therefore, option (b) is the correct choice.

What is the least common multiple of 4 and 8?



Enter your answer in the box.

Answers

Step-by-step explanation:

answer is 8

detail is in the picture

LCM of 4 and 8 is 8. The number evenly divisible by the given numbers is the LCM. From the multiples that are common, you will be able to determine the Least common multiple of 4 and 8. The multiples of 4 are (4, 8, 12, 16, 20, 24,

I'll give brainliest!

Answers

Answer:

9 is the answer

Answer: 9 cubes

Step-by-step explanation:

9 * 9 is 81 which makes the floor of it

since its a cube, we multiply 81 by 9, giving 729

Look at this graph: 101 9 8 7 6 5 4 3 2. 1 0 1 2 3 4 5 6 7 8 9 10 What is the slope?

Answers

The slope can be calculated as the quotient between the difference in the y-coordinates of two points, and the difference in the x-coordinates of the same two points.

We pick any 2 known points, like (0,2) and (5,4).

We calculate the slope as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-2}{5-0}=\frac{2}{5}=0.4[/tex]

Answer:

The slope is m=2/5=0.4

2.2.PS-141You are running a fuel economy study. One of the cars you find is blue. It can travel 39miles on21241 gallons of gasoline. Another car is red. It can travel 22 miles ongallon of gasoline. What is455the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallonof gasoline?CHEThe unit rate for the blue car is mile(s) per gallon.(Simplify your answer. Type an integer, proper fraction, or mixed number.)Enter your answer in the answer box and then click Check Answer.Clear AllICheck Answer2partsremainingReview progressQuestionof 8BackNext →

Answers

Answer:[tex]\begin{gathered} \text{Unit rate of blue car = 31}\frac{3}{5}mi\text{ per gallon} \\ \text{Unit rate of red car = 28 mi per gallon} \end{gathered}[/tex]

The blue car has traveled the greater distance on one gallon of gasoline

Explanation:

The formula for calculating the unit rate is expressed as shown:

[tex]\text{Rate = }\frac{Distance}{\text{number of gallons}}[/tex]

For the blue car

Distance = 39.5miles

Gallons of gasoline = 1.25 gallons

Get the unit rate:

[tex]\begin{gathered} \text{Unit rate = }\frac{39.5}{1.25} \\ \text{Unit rate = 3}1.6\text{ }miles\text{ per gallon} \end{gathered}[/tex]

The unit rate of the blue car as a mixed fraction is 31 3/5 miles per gallon

For the red car

Distance traveled = 22.4 miles

Gallons of gasoline = 0.8 gallons of gasoline

Get the unit rate of the red car;

[tex]\begin{gathered} Unit\text{ rate = }\frac{22.4}{0.8} \\ \text{Unit rate = }28\text{miles per gallon} \end{gathered}[/tex]

From the unit rates, we can see that the blue car has traveled the greater distance on one gallon of gasoline since its unit rate is greater than that of the red car.

What will it cost to buy fencing to go around a rectangular garden with a length of 25 ft. and a width of 30 ft.? The fencing costs $3.17 per linear foot.

Answers

It will cost $348.7 to buy fencing to go around the rectangular garden.

The length of the rectangular garden is 25 feet.The width of the rectangular garden is 30 feet.The cost of fencing per linear foot is $3.17.We need to buy fencing to go around the whole rectangular garden.This means we need the total length of the boundary.The boundary is the same as calculating the perimeter of the rectangular garden.The perimeter of the rectangular garden is two times the sum of its length and its breadth.The perimeter is 2*(25+30) = 110 feet.The total cost of fencing the whole rectangular garden is the product of the cost of fencing per foot and its perimeter.The total cost of fencing the rectangular garden is 3.17*110 = $348.7.

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hey there Ms or Mr could you help me out with this please?

Answers

If a quadrilateral is a parallelogram, then its opposite sides are congruent therefore:

[tex]\begin{gathered} GH\cong JI \\ and \\ GJ\cong HI \end{gathered}[/tex]

Using the distance formula:

[tex]\begin{gathered} GH=\sqrt[]{(5-1)^2+(3-1)^2} \\ GH=\sqrt[]{16+4} \\ GH=\sqrt[]{20} \\ JI=\sqrt[]{(0-4)^2+(3-5)^2} \\ JI=\sqrt[]{16+4} \\ JI=\sqrt[]{20} \\ GH\cong JI \end{gathered}[/tex][tex]\begin{gathered} GJ=\sqrt[]{(0-1)^2+(3-1)^2} \\ GJ=\sqrt[]{1+4} \\ GJ=\sqrt[]{5} \\ HI=\sqrt[]{(4-5)^2+(5-3)^2} \\ HI=\sqrt[]{1+4} \\ HI=\sqrt[]{5} \\ GJ\cong HI \end{gathered}[/tex]

Step 2:

The diagonals are given by:

[tex]\begin{gathered} JH=\sqrt[]{(0-5)^2+(3-3)}^2 \\ JH=\sqrt[]{25} \\ JH=5 \\ GI=\sqrt[]{(4-1)^2+(5-1)^2} \\ GI=\sqrt[]{9+16} \\ GI=\sqrt[]{25} \\ GI=5 \\ JH=GI \\ 5=5 \\ so\colon \\ JH\cong GI \end{gathered}[/tex]

Pls helppppppppppp

It’s not c

Answers

Answer: it would be D because m∠NSO+m∠OSL+m∠LSM+m∠MSN=360°  

and m∠LSM+m∠SML+m∠MLS≠360° doesnt equal 360 degrees so that one is wrong ∠LSM≅∠NSM is a false statement same with m∠LSO+m∠MSO=180° its false so it would be (D)

hope i helped

Step-by-step explanation:

Rafael wants to construct a square inscribed in a circle. He divides the circle into six equal arcs and then draws line segments between four ofthe points. What was the first error Rafael made?:toThe first error Rafael made wasV. A square is constructed by first

Answers

The first error Rafael made was that he made six arcs instead of taking the perpendicular bisector of the diameter and then making 4 arcs.

A square is constructed first by taking the perpendicular bisector of the diameter and making the four arcs and then joining them to make the square.

Find the area of the figure

Answers

Answer:

126.5 cm²

Step-by-step explanation:

Hello!

This shape can be split into a rectangle and a triangle.

The rectangle's dimensions are 8 and 11, and the base and height of the triangle are 11 and 7 respectively.

Area of Rectangle:A = b * hA = 8 * 11A = 88

Area of Triangle:A = b*h/2A = 11 * 7/2A = 77/2A = 38.5

The combined area is 88 + 38.5 which is 126.5 cm².

A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is 4 mph what is the speed of the flying carpet

Answers

The most appropriate choice for speed will be given by-

Speed of the flying carpet is 15.2 mph

What is speed?

The distance travelled by the body per unit time is called speed of the body.

If d is the distance travelled by the body and t is the time taken, then

speed = [tex]\frac{d}{t}[/tex]

Speed is a scalar quantity as the direction is not taken into account.

Here,

Let the speed of the flying carpet be [tex]x[/tex] miles

A flying carpet flies 2.4 miles with the wind

Time taken flying with the wind = [tex]\frac{2.4}{x +4}[/tex]

The flying carpet flies 1.4 miles against the wind

Time taken flying against the wind = [tex]\frac{1.4}{x - 4}[/tex]

By the problem,

                         [tex]\frac{2.4}{x +4} = \frac{1.4}{x-4}[/tex]  

                         [tex]2.4(x - 4) = 1.4(x + 4)\\2.4 x - 9.6 = 1.4 x + 5.6\\2.4 x - 1.4 x = 9.6 + 5.6\\[/tex]

                          [tex]x = 15.2[/tex] mph

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Find the slope of a ramp with a height-to-distance ratio of 1 to 12 feet.

Answers

The slope of a ramp with a height-to-distance ratio of 1 to 12 feet is 4.76 degrees.

What is the slope of a line?

The slope or gradient of a line in mathematics is a number that describes both the direction and the steepness of the line. The tangent relation or the height-to-distance ratio helps to determine the slope of the line.

It is given that the height-to-distance ratio of a slope is given as 1 to 12 feet.

So,

[tex]\tan \alpha = 1/12\\\alpha= \tan^{-1}1/12\\\alpha= 4.76^\circ[/tex]

So, the slope of the ramp is about 4.76 degrees.

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Hey can someone please help me? I’m confused. I’ll give brainliest

Answers

Answer:

1.50t + 3 < 9

Step-by-step explanation:

each taki is $1.50

each Gatorade is $3 and he only bought one so its $3.

total cost of taking and Gatorade is less than $9

Answer:

1.50t + 3 < 9

Step-by-step explanation

each taki is $1.50

each Gatorade is $3 and he only bought one so its $3.

the total cost of taking and Gatorade is less than $9

A 5-gallon radiator is full and contains a 40% solution of antifreeze. how much needs to be drained out and replaced with pure antifreeze to obtain a 70% solution?

Answers

Solution:

Let x be the number of antifreeze solution. Thus;

[tex](0.4)x+1(5-x)=0.7x[/tex]

We would solve for x;

[tex]\begin{gathered} 0.4x+5-x=0.7x \\ \\ 5=x-0.4x+0.7x \\ \\ 5=1.3x \\ \\ x=\frac{5}{1.3} \\ \\ x=3.85 \end{gathered}[/tex]

Hence, the amount needs to be drained out is;

[tex]\begin{gathered} 5-x=5-3.85 \\ \\ =1.15 \end{gathered}[/tex]

Answer: 1.15 gallon

In 2017 the population of Rexburg, Idaho was 28,337 people. The population was expected to grow at a rate of about 1.21% per year. Based on these numbers, what would we predict the population of Rexburg will be in the year 2020?

Answers

Answer:

29,378 people

Step-by-step explanation:

[tex]28337 \times {1.0121}^{3} = 29378[/tex]

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.
x − 3y = −3
4x + 3y = 18


Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.)
(x, y) =

Answers

The system of linear equations has one and only one solution.

x = 3 and y = 2.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

x - 3y = -3 _____(1)

4x + 3y = 18 ______(2)

We will solve the equation to check its solutions.

x - 3y = -3 can be written as:

x = -3 + 3y ____(3)

Putting in (2) we get,

4(-3 + 3y) + 3y = 18

-12 + 12y + 3y = 18

15y = 18 +12

15y = 30

y = 2

Putting in (3)

x = -3 + 3 x 2 = -3 + 6 = 3

x = 3

We see that,

x = 3 and y = 2

Putting in the equation it is satisfied.

x - 3y = -3

3 - 3 x 2 = -3

3 - 6 = -3

-3 = -3

4x + 3y = 18

4x3 + 3x2 = 18

12 + 6 = 18

18 = 18

Thus,

The system of linear equations has one and only one solution.

x = 3 and y = 2.

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You visit your favorite restaurant and order an appetizer for $5.99, a drink for $4.50, your meal for $10.99, and dessert for $3.75. The sales tax is 9%. and you
would like to leave an 18% tip. Find the total cost of your meal.

Answers

Using percentages, we can conclude that the total cost of the meal is approximately $33.

What is the percentage?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Frequently, it is indicated by the percent sign, "%".By dividing the value by the total value and multiplying the result by 100, one can determine the percentage. The percentage calculation formula is (value/total value)100%.

So, the total cost of the meal:

$5.99 + $4.50 + $10.99 + $3.75 = $25.23

Sales tax on the bill: 9%

25.23/100 × 9 = $2.2977Total bill printed on bill: $25.23 + $2.2977 = $27.5277

18% tip of the bill:

27.5277/100 × 18 = 4.954986Rounding off: $5

Total cost of meal: $27.5277 + $5 = $32.5277

Rounding off: $33

Therefore, using percentages, we can conclude that the total cost of the meal is approximately $33.

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Plot the point then make a staircase using the given slope connect the points to form a line answer the questions below

Answers

[tex]\begin{gathered} \text{remember that the standard form of the equation of a line is:} \\ y=mx\text{ +b} \\ \text{where m is the slope, if m>0 then it is increasing, if not it is decreasing} \\ as\text{ the line pass }through\text{ (1,4) and the slope is 2 we have the following equation} \\ y-4=2(x-1) \\ so\text{ we have that } \\ y-4=2x-2 \\ y=2x-2+4=2x+2 \\ to\text{ get y-intercept, we hace to replace x by 0, so} \\ y=2 \\ to\text{ get x-intercept, we have to replace y by 0 } \\ 0=2x+2,\text{ then 2x=-2, therefore x=-1} \\ \end{gathered}[/tex]

can you please cancer C what is the explicit function and the relationships for the term please I dont understand

Answers

EXPLANATION

Given the sequence:

C. 3, 12, 27, 48, 75

First, we need to calculate the difference between terms:

12-3 = 9 27-12 = 15 48-27 = 21 75 - 28 = 27

Arithmetic relationship: 9, 15 , 21, 27

To obtain the sequence we use the following formula:

[tex]a_n=a_1+(n-1)d[/tex]

Now, we need to calculate the appropriate difference between terms:

15-9 = 6 21-25 = 6 27 - 21 = 6

So the constant difference is 6 and the nth term will be:

nth = 6n + 3

*a1=3

So, the relationship will be:

n Value Relationship

1 12 3 + (6*1 +3)

2 27 12 + (6*2 + 3)

3 48 27 + (6*3 + 3)

4 75 48 + (6*4 + 3)

5 108 75 + (6*5 + 3)

n n-1 + (6n+3) n-1 + (6n+3)

Explicit function: y = (n-1) + (6n+3)

Find the value of x. Write an equation andsolve, showing ALL the work.

Answers

Given:

The objective is to find hte value of x.

The value of x can be calculated by basic proportionality theorem.

[tex]\frac{12}{14}=\frac{9}{x}[/tex]

Thus, the required equation is obtained.

The value of x is,

[tex]\begin{gathered} x=9\cdot\frac{14}{12} \\ x=\frac{9\cdot14}{12} \\ x=\frac{126}{12} \\ x=10.5 \end{gathered}[/tex]

Hence, the value of x is 10.5

Which expression is equivalent to 7a-8-12a +4?A.-gaB.31aC. -5a - 4D.19a + 12

Answers

Step 1

Rearrange the expression to bring like terms together.

[tex]\begin{gathered} 7a-8-12a+4 \\ 7a-12a\text{ -8+4} \end{gathered}[/tex]

Step 2

Simplify to get the final answer

[tex]-5a-4[/tex]

Hence the right answer is option C

Write a numerical expression then match words with the expression

Answers

Numerical expression: 30 - 10 - 7

In words: Elizabeth had $30, if she spent $10 to buy some pizza and $7 on a soda, how much money does she have left?

use the provided equation below to complete the table and graph

Answers

Answer:

Explanation:

To complete the table, we need to replace each value of x and calculate the value of y.

So, if x = - 16, y is equal to:

[tex]\begin{gathered} y=\frac{3}{8}x-2 \\ y=\frac{3}{8}(-16)-2 \\ y=-6-2 \\ y=-8 \end{gathered}[/tex]

If x = -8, y is equal to:

[tex]\begin{gathered} y=\frac{3}{8}(-8)-2 \\ y=-3-2 \\ y=-5 \end{gathered}[/tex]

If x = 0, y is equal to:

[tex]\begin{gathered} y=\frac{3}{8}(0)-2 \\ y=0-2 \\ y=-2 \end{gathered}[/tex]

If x = 8, y is equal to:

[tex]\begin{gathered} y=\frac{3}{8}(8)-2 \\ y=3-2 \\ y=1 \end{gathered}[/tex]

If x = 16, y is equal to:

[tex]\begin{gathered} y=\frac{3}{8}(16)-2 \\ y=6-2 \\ y=4 \end{gathered}[/tex]

So, the complete table is:

x y

-16 -8

-8 -5

0 -2

8 1

16 4

Finally, we can graph the table, so:

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