simplify the expression 14+5(x+3) - 7x​

Answers

Answer 1

Answer:

- 2x +29

Step-by-step explanation:

Open up the parenthesis, then simplify

14 + 5x + 15 - 7x

5x - 7x + 14 + 15

-2x + 29

Answer 2

[tex]14+5(x+3) - 7x[/tex]

Distribute:

[tex]14+(5)(x)+(5)(3)-7x[/tex]

[tex]14+5x+15-7x[/tex]

Combine Like Terms:

[tex](5x-7x)+(14+15)[/tex]

[tex]\fbox{-2x + 29}[/tex]


Related Questions

A 12 ft ladder leans against the side of a house. The top of the ladder is 11 ft off the ground. Find x , the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

Answers

The value of angle of elevation (x) is 67°

What is angle of elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

Angle of elevation can be found by using trigonometry ratio

The height of the house is the opposite and the height of the ladder is the hypotenuse.

Therefore from trigonometry ratio;

sin x = 11/12

sin x = 0.92

x = sin^-1 (0.92)

x= 66.93°

x = 67° ( nearest degree)

Therefore the value of angle of elevation is 67°

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Can anyone help me fill in the other blanks

Answers

On solving the problem we got that, 17yds and 11yds are its length and width​

What does perimeter mean?

The circumference of an item is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet.

length =L

width = W

length is 6 yd longer than its width,

L  =  6 + W

perimeter is 56yds:    

[tex]56= 2(L + W) \\ = > 68 = 2(6 + W) + 2W\\= > 12+ 2W + 2W = 56\\= > 4W = 44\\= > W = 11 yds\\= > L = 11+6 = 17 yds[/tex]

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There are 13 muffins in each box. Which shows the tota
number of muffins in 4 boxes?
(4 × 10) + (4 x 3) = 52
(4 x 10) + 3 = 43
A
B
4+ (10 x 3) = 34
5 (4+10)+(4+ 3) = 21

Answers

The total number of muffins in 4 boxes by the arithmetic equation is (4 × 10) + (4 x 3) = 52.

What is arithmetic equation?

The series where the common difference between any two next words stays constant is known as an arithmetic sequence. Let's review what a sequence is. A collection of numbers that follow a pattern is called a sequence.

Every term in an arithmetic sequence is created by adding a specified number (either positive, negative, or zero) to the term before it.

the number of boxes of muffins is 4

The muffins in each box is 13

so the total number of muffins in 4 boxes is 4 x 13

⇒ 4 x (10 + 3)

⇒ (4 x 10) + (4 x 3) = 52

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Match each expression on the left with an equivalent expression on the right. Not all of the options on the right will be used.
361,000
1,400
100 x 14
14(10)
361 - 1000
100(361)
36, 100
14,000
3,610
140

Answers

On solving the provided question, we can say that  on matching the expressions are 100X 14 = 1400 and 14(10) = 140 and 361 . 100 = 36100 and 100(361) = 36100

what is expression ?

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

so, on matching the expressions are

100X 14 = 1400

14(10) = 140

361 . 100 = 36100

100(361) = 36100

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Solve each linear equation for x.
(A) –12x + 9 = –15x x = (B) 4.5x + 11.5 = 8.5x + 3.5 x = (C) 23 x – 9 = 13 x x =

Answers

Answer:

when I see this I know and can show you how to solve the question and the answer it 2 and it's obvious so if you don't know it that's pretty much sad and pathetic answer 2

Please help im timed on this

Answers

The slope of the line is 1.25 and the value of x is 12.

What is slope of a line?

A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. A line's slope provides information on the steepness and direction of the line. the angle at which two straight lines intersect.

Given that:

rise =10

run = 8

The slope is determined by the following formula:

Slope = Rise / Run

[tex]Slope = \frac{10}{8} = 1.25[/tex] .

The slope of a line equation is given by:

[tex]y_2 - y_1 = m (x_2-x_1)[/tex]

Here, m is the slope of the equation.

Substitute the value of [tex]m= \frac{10}{8}, y_2=21 , y1= 6, x_2 =x, x_1= 0[/tex] in the equation.

[tex]21-6 = \frac{10}{8}(x-0)\\ \\15= \frac{10}{8} (x)\\\\(15)(8) = 10x\\\\120=10x\\\\x=12[/tex]

Hence the value of x is 12.

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Answer:

The slope of the line is 1.25 and the value of x is 12.

Step-by-step explanation:

Brain Builders

Use the graph for Exercises 24 and 25.
24. Before leaving the grocery store, Kenny wrote the
y-coordinate first and the x-coordinate second when telling
his sister where to meet him. To his surprise, she was at
the right location. If his sister did not make an error, where
did the siblings meet? Explain how you know.

Answers

The siblings met at the point (4,7). This can be determined by looking at the graph and seeing that the point (4,7) is the only point with an x-coordinate of 4 and a y-coordinate of 7.

What is coordinate?

Coordinate refers to the pair of numbers used to identify the position of a particular point on a graph, map, or other two-dimensional plane. Each coordinate consists of an x-coordinate and a y-coordinate that indicate the horizontal and vertical position of the point, respectively. Coordinates can be used to plot points, draw shapes, and determine distances between points. For example, the coordinates (4, 7) would tell you that the point is located four units to the right and seven units up from the origin point. Coordinates can also be used to describe the location of a point in three-dimensional space, with the addition of a z-coordinate.

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need some help with this

Answers

The length of the missing side is 54.

What is Triangle?

Triangle is a closed polygon consisting of three sides, three vertices and three angles.

Similar triangles are those triangle for which the ratio of corresponding sides is same without affecting the shape.

Given that ΔABC and ΔPQR are similar.

Let x be the side length of PR.

Ratio of their side lengths are equal.

AB : PQ = BC : QR = AC : PR

5 : 45 = 8 : 72 = 6 : x

Take the ratios 8 : 72 = 6 : x

⇒ 8 / 72 = 6 / x

Cross multiplying,

⇒ 8x = 72 × 6

⇒ 8x = 432

⇒ x = 432 / 8 = 54

Hence the side length missing is 54 units.

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A gym membership is $28 to join and $10 paid monthly.

Create a table to represent this scenario, then create an equation.

Enter your answers in the boxes.

Months Purchased Total Cost ($)
0 28
1
38
2
48
3
58
4
68


The equation to represent this scenario is y =
x +
.

Answers

Answer:

sorry needed points so sorry

Step-by-step explanation:

$576.188 rounded to the nearest hundredth I see

Answers

Answer:

$576.19

Step-by-step explanation:

What is the difference between solving an equation and solving an inequality

Answers

Note that solving an equation involves finding the value(s) of the variable(s) that make the equation true. For example, solving the equation 2x + 3 = 7 would give the solution x = 2.

On the other hand, solving an inequality involves finding the set of all values of the variable(s) that make the inequality true. For example, solving the inequality 2x + 3 > 7 would give the solution x > 1.

What is inequality in Math?

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

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What’s the answer pls?

Answers

Therefore ,option 3 is hence the appropriate choices. By the Side-Angle-Side Triangle Congruence Theorem, these triangles are congruent.

Triangle definition

Any three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.

Here,

From the provided figure, it is clear that there are two triangles.

ABC and EFG are the triangles.

AB = EF

AC = FG

BC = EG

As a result, the triangles ABC and EFG are congruent according to the triangle's SSS theorem, and angle A is equal to angle D.

Therefore ,D and E are hence the appropriate choices. By the Side-Angle-Side Triangle Congruence Theorem, these triangles are congruent.

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f(x)=Sin2x ,x0=pi:3

f(x)=3x-x^2 ,x0=-1

Please help and if someone has discord server to help solve math problema please give me invite

Answers

Answer:

For the first function, F(pi:3) = sin(2 * pi:3) = sin(6 * pi / 3) = sin(2 * pi) = 0.

For the second function, f(-1) = 3 * -1 - (-1)^2 = -3 + 1 = -2.

Step-by-step explanation:

It looks like you are trying to find the value of two different functions at specific points.

For the first function, F(x) = sin(2x) and x0 = pi:3, we want to find the value of F(x) when x = pi:3. Plugging this value into the function gives us F(pi:3) = sin(2 * pi:3) = sin(6 * pi / 3) = sin(2 * pi) = 0.

For the second function, f(x) = 3x - x^2 and x0 = -1, we want to find the value of f(x) when x = -1. Plugging this value into the function gives us f(-1) = 3 * -1 - (-1)^2 = -3 + 1 = -2.

find the value of r so the line that passes through each pair of points has the given slope (5, 3), (r, -5), m=4

Answers

Answer:

r=3

Step-by-step explanation:

use slope formula : y2-y1 / x2-x1

-5-3 / r-5

the numerator is -8 which means the denominator has to be -2 in order to have the slope be 4

so r-5 = -2

3-5 = -2

What is the vertex for the function g(x)?

Answers

Answer:

look below!

Step-by-step explanation:

To get the vertex for an equation your best bet is to convert the form into vertex form,which is y=a(x−h)+k . In vertex form (h,k) is the vertex

The vertex of the function is (h,k) yer jus

The Singh family ordered a large pizza with a diameter of 16 inches for dinner. If one of the members of the family ate one eighth of the pizza, how many square inches of pizza are remaining? Use 3.14 for π.

200.96 square inches
175.84 square inches
100.48 square inches
25.12 square inches

Answers

Answer: D

Step-by-step explanation: 25.12

Answer: The actual answer is (175.84 square inches)

Step-by-step explanation:

First, find the area of the pizza.

You need to use the formula for area of a circle: A = πr^2

or in words, the area of a circle is equal to pi times radius to the second power.

So find the radius which is half the diameter.

The diameter is 16 inches, so the radius is 8 inches.

Now raise 8 to the second power, meaning that you need to times 8 by 8

(8 * 8 = 64) Now you times 64 by pi or 3.14. (64 * 3.14 = 200.96)

That is the area of the entire pizza.

But you still need to find how many square inches are left after 1/8 is eaten.

If 1/8 is eaten, then that means the pizza is divided into eighths.

Take 200.96 and divided that by 8 to find how much the individual pieces are.

200.96/8 = 25.12

But you need to find what is left is the pizza, so times 25.12 by 7 because that is how many pieces are left. 25.12 * 7 = 175.84

Sorry for the long explanation, but here is proof that the answer is correct. I took the same test and got the answer right

Here is a photo from my test:

Have a good day

Laura and Shelby ordered pizzas and chips. Lara ordered 5 pizzas and 2 bags of chips and paid $55. Shelby ordered 10 pizzas and 4 bags of chips and paid $95. How much would 1 pizza and 1 bag of chips cost?

Answers

Cannot be determined.

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here  5 pizzas and 2 bags of chips cost $55 and 10 pizzas and 4 bags of chips cost $95

let the cost of one pizza be p and a bag of chips be c then we construct the following linear equations:

5p+2c=55

10p+4c=95

Clearly the equations are colinear but 10p+4c≠110=1(5p+2c0

and thus two lines don't have a unique solution.

Hence, the cost cannot be determined as the two equations have no solution in common.

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Please help!!! I don’t know this answer ?

Answers

They will walk 6 laps and run 10 laps for a total of 16 miles considering each lap is of 1 mile.

What is mile?

The mile is a customary unit of measurement in both the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is also referred to as the international mile or statute mile to distinguish it from other miles.

In 1959, the statute mile was formally redefined with respect to SI units as exactly 1,609.344 metres, establishing a standard between the British Commonwealth and the United States.

With qualifications, mile is also used to describe or translate a wide range of units derived from or approximately comparable to the Roman mile, such as the nautical mile (now exactly 1.852 km), the Italian mile (roughly 1.852 km), and the Chinese mile (now 500 m exactly).

6 laps + 10 laps = 16 laps

1 mile each laps = 16 miles

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Simplify the following rational expression. Be sure to state the condition.

Answers

The simplified form of the rational expression (x²+5x+6)/(3x+6) is (x+3)/2.

And we used factorization to find the simplified form.

What is factorization?

Factorization is a process to simplify the expression by finding the factors of that expression.

And to find the same expression from factors, you have to reverse the process.

Given:

The rational expression,

(x²+5x+6)/(3x+6).

Simplifying,

the expression using factorization method.

First, (x²+5x+6),

= x²+2x+3x+6

= x(x+2)+3(x+2)

= (x+2) (x+3)

And 3x+6 = 3(x+2)

Substituting the simplified values to the given expression,

(x²+5x+6)/(3x+6),

= (x+2) (x+3) / {3(x+2)}

Factor out the common factor,

= (x+3)/2

Therefore, the simplified form is (x+3)/2.

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A line has a slope of 3/8 and passes through the point (15.2,-7)

The equation of the line in point-slope form is???
ANSWERS↓↓

Answers

The linear equation can be written in point-slope form as:

y + 7 = (3/8)*(x - 15.2)

So the correct option is A.

How to get the linear equation?

A linear equation with a slope M and a known point (h, k), can be written in the point-slope form as:

y - k = m*(x - h)

Here we know that the slope of the line is 3/8, then we get:

y - k = (3/8)*(x - h)

And we also know that this line must pass through the point (15.2, -7), then we know that:

h = 15.2

k = -7

Replacing these values we get:

y + 7 = (3/8)*(x - 15.2)

Thus the correct option is the first one, A.

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Josephine wrote the numbers 1-100 and placed them in a bag.If she selects a number without looking what is the probability that the number is greater than 78

Answers

There are 100 total numbers in the bag, and 23 of them are greater than 78 (79, 80, 81, etc.), so the probability of selecting a number greater than 78 is 23/100, or approximately 0.23. You can also express this probability as 23%, or approximately 23%.

True or False: 10, 8, 6, 4, … is a geometric sequence.

Answers

Answer:

  False

Step-by-step explanation:

You want to know if it is true that 10, 8, 6, 4, ... is a geometric sequence.

Geometric sequence

A geometric sequence has a common ratio between adjacent terms. Here the ratios are ...

  8/10 = 0.8

  6/8 = 0.75

These numbers are different, so there is no common ratio. The sequence is not a geometric sequence. (False)

Which of the following best describes the difference in the results for the special products( A+B)^2 and ( A-B)^2

Answers

The difference between the expansions of (A + B)^2 and (A - B)^2 is the sign of the middle term. In the second case it is negative, due to the negative sign on B.

Which is the difference between the two expressions?

Here we have two perfect square trinomials, these are:

(A + B)^2

(A - B)^2

Notice that the only difference between these is the sign of the second element.

Now we can expand these two expressions as:

(A + B)^2 = (A + B)*(A + B) = A^2 + 2AB + B^2

The second expression gives:

(A - B)^2 = (A - B)*(A - B) = A^2 + 2*A*(-B) + (-B)^2

                                       = A^2 - 2AB + B^2

There we can see that the only difference between these two expansions is the sign of the middle term. Where in the second case it is negative, due to the negative sign on B.

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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

x^2 - 4 = 0
4x^2 = 16

The first equation is true when x = -2 or x = 2, because substituting either of these values into the equation results in a true statement. The second equation is also true when x = -2 or x = 2, because substituting either of these values into the equation results in a true statement. The other three equations are not true when x = -2 or x = 2, because substituting these values into the equations results in false statements.

Helpp!! Solve the system by graphing.

Answers

The solution of the system of equations:

y = 3x - 4

y = (-1/2)*x + 3

Is (2, 2).

How to solve a system of equations graphically?

Here we have the following system of equations:

y = 3x - 4

y = (-1/2)*x + 3

To solve this graphically, we just need to graph both equations on the same coordinate axis, and find a point where these two graphs intercept.

Below you can see the graph of the system, and there you can see that the lines intercept at the point (2, 2), so that is the solution of the system.

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Trace triangle JKL and point P.

Draw the dilation of AJKL

using scale factor 3 and P

as the center of dilation,

Answers

The dilation of triangle JKL, with point P at the origin and scale factor of 3, is graphed on the image shown at the end of the answer.

What is a dilation?

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The coordinates of the vertices of the original triangle JKL for this problem are attributed as follows:

J(1,1).K(1,5).L(4,1).

The scale factor of the dilation is given as follows:

k = 3.

Meaning that each coordinate of each vertex of the triangle will be multiplied by 3, thus obtaining the coordinates of the vertices of the image of triangle JKL after the dilation, as follows:

J'(3,3).K'(3,15).L'(12,3).

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Fractions greather than 1/2

Answers

Answer:

[tex]\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}[/tex] (in general, the numerator has to be greater than half the denominator)

Step-by-step explanation:

There are an infinite number of fractions greater than 1/2, but we can generally form a rule to figure out whether a fraction is greater than 1/2, which will help us find those fractions!

Forming a Rule:

Let's first just express a fraction in the form: [tex]\frac{a}{b}[/tex], and we have to ask our self, what determines whether this is 1/2? Well we know if we have 1/2, and multiply it by two, then we have a whole, or one, but the only case where we have a whole, or one, in fraction form, is where the numerator and denominator are equal.

This means, multiplying the numerator "a" by 2, will result in it being equal to the denominator "b". From here, it can be determined that for the fraction: [tex]\frac{a}{b}[/tex], to be 1/2, then the numerator "a" has to be half the denominator "b". But this is just telling us what "a" and "b" need to be, for the fraction to be equal to 1/2, not greater than 1/2. This is still useful, since in general the following is true: [tex]\frac{a+1}{b}[/tex], if we add one to the numerator, the fraction becomes bigger. So if we want the fraction to be bigger than 1/2, the numerator "a" just needs to be bigger or larger than the half the denominator "b".

Examples:

Let's select a denominator, and from there find numerators that make the fraction bigger than 1/2. For this example let's just select "9". In this case, for a fraction to be 1/2, the numerator just has to be larger than 9/2 or 4.5, but since we can't have decimals in fractions, or at least proper fractions, we just need the numerator to be greater than or equal to 5 (5 is included, since it's still bigger than 4.5)

[tex]\frac{4}{5}[/tex] is actually the only proper fraction, since 5/5 would just simplify to one.

Let's do another example, in this case let the denominator be 10. For the fraction to be considered greater than 1/2, the numerator, has to be greater than half the denominator, 10/2 = 5.

[tex]\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}[/tex] would all be valid answers (although some do simplify further). But all of them represent fractions which have a greater value than 1/2

4. There are 36 units in a case. You have 90 loose units of stock in the store. The store manager has requested a stock count in CASES. How many cases of stock will 90 units fill? CALCULATION:​

Answers

There are 36 pieces in one case. The store has 90 loose storage units. The store manager requested an inventory count where 2.5 units would fill her 90 units.

What is the inventory process like?

Typically, this process involves the retailer (or team of employees) walking through the retailer's warehouse and storefront, counting each item. Information is captured manually using pen and paper or electronically using a mobile device.

Create a storage location map showing each shelf, bin, drawer, receiving dock, and return area. Place geographic divisions, not product lines, between each storage area. Let's start counting! After each counter completes a certain range, allow a manager or someone else to check the count.

90/36 = 2.5

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Which equation is NOT true?

Parallelogram Q R S T with diagonal S Q. Angle R has measure (15 x + 55) degrees, angle R Q S is (6 x) degrees, angle S Q T is (4 x) degrees, and angle T is (26 x) degrees.
CLEAR CHECK

15+55=6+4
15
x
+
55
=
6
x
+
4
x



15+55=26
15
x
+
55
=
26
x



25+55=180
25
x
+
55
=
180



m∠=6+4

Answers

Answer: can you put them in order so i can read it better?

Step-by-step explanation:

The length of 1 board is 2feet and 10 inches, length of another board is 1yard 1foot 9inches. What is the total of the boards put together. Simplify answer

Answers

The total length of the two boards put together is 5ft 11in.

What is length?

Length is a measure of distance. It is typically measured in units such as inches, feet, yards, miles, millimeters, centimeters, and meters. Length can also be measured in other units, such as the amount of time it takes to travel a certain distance. Length is an important concept in mathematics and is used in many different topics and applications.

To simplify this answer in feet, we can convert the 10 inches and 9 inches to feet, giving us a total of 5 feet. Therefore, the total length of the two boards put together is 5ft.

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