Mathematics High School

Solve 2x + 32 + x = 17.

x = 5
x = 0.2
x = −0.2
x = −5
Please and thank you.

Answers

Answer 1

2x+32+x = 17

Combine 2x and X to get 3x.

3x+32 = 17

Subtract 32 on both sides.

3x = 17−32

Remains 32 of 17 to obtain −15.

3x = −15

Divide both sides by 3.

x = -15/3

Divide −15 by 3 to get −5.

x = −5

The last option is correct.

Answer 2

The value of x after solving the given equation 2x + 32 + x = 17, is x = -5, which is the last option.

Given an equation:

2x + 32 + x = 17

It is required to find the value of x after solving or simplifying the equation.

In order to get the value of x, the equation has to be solved in such a way that the terms with the variable have to be placed on one side and the constant terms on the other side.

Consider:

2x + 32 + x = 17

Add x and 2x since they are like terms in variables.

3x + 32 = 17

Subtract 32 from both sides of the equation.

3x = 17 - 32

3x = -15

Divide both sides of the equation by 3.

x = -5

Hence, the value of x is -5.

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Related Questions

Approximate the value of each irrational number. Explain your reasoning.
Part A
√30

Answers

5 because the square root of 30 is 5.47777 so round that down to 5

The square root of 30 is approximately 5.5.

To find the square root, we need to find out what number(s) can be multiplied by themselves to equal 30.

5 • 5 = 25

6 • 6 = 36

Because 30 is between 25 and 36, we know that the square root of 30 is between 5 and 6.

When we multiply 5 and 6 by themselves to find their square, we will find that 30 lies about halfway between 25 and 36. Upon calculation, the square root of 30 is 5.47, which to the nearest tenth is 5.5.

The square root of 30 ≈ 5.5.

A parabola can be drawn given a focus of (7,-3) and a directrix of y=-7. Write
the equation of the parabola in any form.

Answers

Y=8 and there it what is you are looking for your welcome

help me answer this question please

Answers

Answer:

sum = -15/2

Step-by-step explanation:

Given the formula for the n-th term of a sequence is n(n-8)/√(n+3), you want the sum of the 1st and 6th terms.

First term

The first term is found by substituting 1 for n:

1(1 -8)/√(1 +3) = 1(-7)/√4 = -7/2

Sixth term

The sixth term is found by substituting 6 for n:

6(6 -8)/√(6 +3) = 6(-2)/√9 = -12/3 = -4

Sum

The sum of the first and sixth terms is ...

-7/2 +(-4) = -(7/2 +8/2) = -15/2

sum = -7 1/2

is 12 an integer? Im getting confused answers

Answers

The answer is 3 or c

Answer:

Yes 12 is an Integer

Step-by-step explanation:

12 is a whole number that can be written without a fractional component, thus 12 is an integer.

In a certain tourism destination, 28% of the city's residents work in the hospitality industry. 55% of residents are age 40 or younger, and 15% of residents are people age 40 or younger who work in the hospitality industry. What percentage of the employed population are people older than 40 who do not work in the hospitality industry?

A. 13%
B. 17%
C. 32%
D. 45%

Answers

The percentage of the employed population are people older than 40 who do not work in the hospitality industry is B. 17%.

How to calculate the percentage?

The city's residents work in the hospitality industry = 28%

The residents that are age 40 or younger, and 15% of residents are people age 40 or younger = 55%

Those who work in the hospitality industry that are younger than 40% = 15%

Therefore, those that don't work in the industry will be:

Percentage of 40 or older - Percentage of those working

= (100 - 55%) - 28%

= 45% - 28%

= 17%

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Which of the following best estimates the sum 1 1 2 3 B 0.5 0.8

Answers

we have

1/2 +1/3

Remember that

1/2=0.5

1/3=0.33 -----> rounded 0.3

0.5+0.3=0.80

Answer: please help

Step-by-step explanation: I don’t know what the answer is I need help

find the product

6x/(-2)
Answer:
-12xy

Answers

The result of the expression given as 6x/(-2) is -3x

How to determine the product?

From the question, the expression is given as

6x/(-2)

The above expression is a quotient expression

So, we start by rewritting it as a product

This is represented as

6x/(-2) = 6x * 1/(-2)

Remove the bracket

So, we have the following equation

6x/(-2) = 6x * 1/-2

Evaluate the product

6x/(-2) = -3x

Hence, the value of the expression is -3x

Answers

Answer:175/48

Step-by-step explanation:

The line perpendicular to y=-3x+4 that passes through the point (-3,-7)

Answers

Answer:

Step-by-step explanation:

A perpendicular line will have a sope that is the negative inverse of the reference line. The reference line is y = -3 + 4, with a slope of -3. The negative inverse would be -(-1/3) or (1/3).

The new line will take the form of y = (1/3)x + b, where b is the y-intercept (the value of y when x=0). We want the new line to go through point (-3,-7). We;ll need a value of b that will make that happen. To find b, enter the given data point and solve for b:

y = (1/3)x + b for (-3,-7).

-7 = (1/3)(-3) + b

-7 = -1 + b

b = -6

The new equation is y = (1/3)x - 6

See the attached graph.

May Someone Please Give Me The Answers To The Problems I Haven’t Done (Please Mark Which Ones They Are)Thank You!!

Answers

The simplest form of the ratios are:

(A) 3/1 = 3(B) 6/2 = 3(C) 18/6 = 3(D) 36/12 = 3

What are ratios?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls).

So, the ratios in the simplest form are:

(A) 3/1 = 3(B) 6/2 = 3(C) 18/6 = 3(D) 36/12 = 3

We can observe that the simplest form of all the ratios is similar which is 3.

Therefore, the simplest form of the ratios are:

(A) 3/1 = 3(B) 6/2 = 3(C) 18/6 = 3(D) 36/12 = 3

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can you please help me

Answers

We have to calculate the area and perimeter of ABC.

Area:

We can calculate the area by substracting from the area of the big triangle ABD the area of the little triangle BCD. Both are right triangles.

The area of ABD is:

[tex]A_{\text{ABD}}=\frac{b\cdot h}{2}=\frac{(15+5)\cdot12}{2}=\frac{20\cdot12}{2}=\frac{240}{2}=120[/tex]

The area of BCD is:

[tex]A_{\text{BCD}}=\frac{b\cdot h}{2}=\frac{5\cdot12}{2}=\frac{60}{2}=30[/tex]

Then, the area of ABC is:

[tex]A_{\text{ABC}}=A_{\text{ABD}}-A_{\text{BCD}}=120-30=90[/tex]

The area of ABC is 90 cm^2.

Perimeter:

We calculate the perimeter by adding the length of the three sides. We know only 2 of the sides, so we have to calculate the other one (BC).

The length of BC can be calculated using Pythagorean theorem for the triangle BCD, so we can write:

[tex]\begin{gathered} BC^2=CD^2+BD^2=5^2+12^2=25+144=169 \\ BC=\sqrt[]{169}=13 \end{gathered}[/tex]

Now, we can calculate the perimeter as:

[tex]P_{\text{ABC}}=AB+BC+AC=25+13+15=53[/tex]

The perimeter is 53 cm.

he altitude of a triangle is increasing at a rate of 3.000 centimeters/minute while the area of the triangle is increasing at a rate of 4.000 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 9.500 centimeters and the area is 88.000 square centimeters?

Answers

The altitude exists 9.500 centimeters and the area exists 88.000 square centimeters is [tex]$ -\frac{9.26316}{4.75d}[/tex].

What is meant by the altitude of a triangle?

A line segment passing through a triangle's vertex and running perpendicular to the line containing the base is the triangle's height in geometry. The extended base of the altitude is the name given to this line that contains the opposing side. The foot of the altitude exists the point at where the extended base and the height converge.

A triangle's altitude is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.

Let A be the area of the triangle

h be the altitude

b be the base

The formula that relates the three is the area of a triangle

A = (1/2) bh

Note that anything listed as a "rate" is a derivative value.

dh (rate of change of altitude) = 3.000 cm/min

dA (rate of change of area) = 4 cm²/min

h = 9.500 cm

A = 88.000 cm²

Consider that both b and h are changing in this situation, so we have to treat them both as variables. This means we have to use the product rule, inserting the derivatives where applicable.

dA = (1/2) × db × h + (1/2)b × dh

substitute the values in the above equation, we get

4 = (1/2) × db × 9.5 + (1/2) b × 3.000

88 = (1/2) × b × 9.5

b = 18.52631

Now, looking back at our derivative

4 = (1/2) × db × 9.5 + (1/2) × 18.52631 × 3.000

simplifying the above equation, we get

4 = 4.75 db + 13.26316

b =[tex]$ -\frac{9.26316}{4.75d}[/tex]

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What is the slope of the line that passes through the points (-6, 1) and (-6,-4)?
Write your answer in simplest form.

Answers

Answer:

The slope is undefined

Step-by-step explanation:

Carrie wants to make a wallpaper border to go around the top of her room. She wants the border to look something like the illustration below.

The answer is A Reflection
This question is answered

Answers

Since Carrie wants to make a wallpaper border to go around the top of her room. She wants the border to look something like the illustration below. This is a Reflection

What is transformation?

A transformation is an operation that is performed on a picture. Transformations are classified into four types: translations, reflections, dilations, and rotations. In transformations, reflections are achieved by flipping a shape or figure across a line of reflection, a point of reflection, or a plane of reflection.

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure is equidistant from every point in another figure.

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Please help me do my Math Homework ASAP, it is attached.

Answers

Answer:

Step-by-step explanation:

Jungkook has 84 coins. Of the coins, 7/12 are nickels, 3/12 are dimes, and the rest are quarters. What is the raito of Jungkook's nickels to dimes to quarters?

Answers

If 7 out of every 12 coins are nickles (7/12) and 3 out of every 12 coins are dimes (3/12), there has to be 2 quarters out of every 12 coins (2/12)

Now, the ratio would be:

[tex]7\colon3\colon2[/tex]

find the number of terms in the sequence 1,-4,16,...,65536

Answers

Answer:

9 terms

Step-by-step explanation:

The sequence given is a geometric sequence

In a geometric sequence, the nth term of the sequence can be found by the formula

[tex]a_n = a_1r^{n-1}[/tex]

[tex]\text{where }\\\\ a_n = \text {nth term}\\\\\text{$a_1 = $ first term}\\\\\text{$r = $ common ratio}[/tex]

In the given sequence,

a₁ = 1

r = -4

aₙ = 65536

So we get the relation:
65536 = 1· (-4)ⁿ⁻¹

65536 = (-4)ⁿ⁻¹

It is clear that n-1 has to be even so that the power of 4 is positive.
Substituting x = n -1 where x is even gives us
4ˣ = 65536

If we take logarithms to the base 4 on both sides we get

=> x = [tex]\log_465536 = 8\\\\[/tex]

Since x = n - 1 and x = 8, n = 9

So the 9th term in the series is 65536

a=3,k=12,z=6,h=4 Evaluate the algebraic expression z+15=?

Answers

since z=6, so z+15 is equal to 21

or a+k+z=21

write the following statements as an algebraic expression or equation.you have twice as many apples as bananas.the choices are in the picture

Answers

apples = a

babanas = b

a = 2b

Is 4 a factor of 64? How do you know?

Answers

Answer: yes

Step-by-step explanation: 64 is a factor of 4 because you can multiply it by 16 to get 64. Remember if you divide and get a whole number it is a factor .

Factors of 64 are the list of integers that can be evenly divided into 64. There are overall 7 factors of 64 i.e. 1, 2, 4, 8, 16, 32, and 64 where 64 is the biggest factor. The Prime Factors of 64 are 1, 2, 4, 8, 16, 32, 64 and its Factors in Pairs are (1, 64), (2, 32), (4, 16), and (8, 8).

question 8 a large hotel chain sees about 500 customers per week. a data analyst working there is gathering data through customer satisfaction surveys. they are anxious to begin analysis, so they start analyzing the data as soon as they receive 50 survey responses. this is an example of what? select all that apply.

Answers

The sampling strategy used in this problem is an example of:

Failing to include diverse perspectives in the collection.Failing to choose a large enough sample size.

What is sampling?

Sampling is when a subset of an entire population is studied, to verify whether characteristics of the sample can be expanded to the entire population.

The sample has to be representative of the population, that is, large enough, hence it should contain all the subsets of the population.;

In the context of this problem, the chain sees about 500 customers a week and they receive the responses from 50 of them. This is a not large enough sample size, hence it could cause biased results, meaning that the perspective of the entire population will not be considered.

In the context of this problem, the survey are anonymous, and the objective of a survey is generally not to reward the participants, hence the last two options are false.

What is the missing information?

The options are given as follows:

Failing to include diverse perspectives in the collection.Failing to choose a large enough sample size.Failing to reward customers for participating in the survey.Failing to collect data anonymously.

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Miss Davidson ran a sit-up competition among her P.E. students and monitored how many sit-ups each student could do. Number of sit-ups Number of students 76 3 79 5 175 2 X is the number of sit-ups that a randomly chosen student did. What is the expected value of X? Write your answer as a decimal.

Answers

Let the total number students be s. Then

s = 3 + 5 + 2= 10

x | Number of students(n) | Pr(x) | xPr(x)

---------------------------------------------------------------------------------

76 | 3 | 0.3 | 22.8

---------------------------------------------------------------------------------

79 | 5 | 0.5 | 39.5

--------------------------------------------------------------------------------

175 | 2 | 0.2 | 35

--------------------------------------------------------------------------------

[tex]\sum \text{xPr(x) = 22.8 + 39.5 }+\text{ 35 = 97.3}[/tex][tex]\text{ The expected value is }\sum \text{xPr(x)}[/tex]

Therefore, the expected value of x is 97.3

PLEASE HELP
what is the value of x? justify each step
AC= 32

Answers

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. For illustration: If we take 45 into account. Here, the fourth digit is in the tens column.

Explain about the value?

Value in mathematics is a number that represents the outcome of a computation or function. In the aforementioned example, you may inform your teacher that 5 + 6 Equals 30 or that x + y = 9 if x = 6 and y = 3. A variable or constant can also be referred to as a value.

X has a value of 3. The following is a list of the arguments made for each step.

Adding more line segments

Rule of substitution (b)

c) Simplifying by incorporating related terms

d) Compiling terms for lies

e) Multiplying each side by 8

AB = 2x

BC = 6x + 8

AC = 32

AB plus BC equals AC. (Extension rule)

addition of a line's individual segments

2x + 6x + 8 = 32 (Substitution rule) (Substitution rule)

replacing AB, BC, and AC in the formula AB + BC = AC

8x + 8 = 32 (Simplification) (Simplification)

2x + 6x + 8 = 32, simplified adding comparable terms

8x = 24 (Assembling similar terms)

8x = 32 - 8

8x = 24

x = 3 (Divide both sides by 8) (Divide both sides by 8)

8x / 8 = 24/8

x = 3

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find the Length of an arcade of a circle whose central angle is 212° and radius is 5.3 inches. round your answer to the nearest tenth.

Answers

The length of the arc of the circle is 19.6 inches

We can find the length of the arc using the formula;

[tex]L\text{ = }\frac{\theta}{360}\text{ }\times\text{ 2}\pi r[/tex]

where ;

[tex]\begin{gathered} \theta\text{ is central angle which is 212} \\ r\text{ is radius which is 5.3 inches} \end{gathered}[/tex]

Substituting these values;

[tex]\begin{gathered} L\text{ = }\frac{212}{360}\text{ }\times\text{ 2 }\times\frac{22}{7}\text{ }\times\text{ 5.3} \\ \\ L\text{ = 19.618413} \\ \\ To\text{ the nearest tenth, this is 19.6 inches} \end{gathered}[/tex]

Solve for .
4x4<8 AND 9x + 5 > 23

Answers

Answer:

solve for what? x or y? or anything another

Step-by-step explanation:

if x

[tex] - \sqrt[4]{2} \sqrt[4]{2} [/tex]

[tex]x = (2 \: or \: \infty )[/tex]

so hope it help

Taylor and Emily are painting banners for their Halloween Party. Taylor’s banner is 8 inches tall and 564 inches wide. The area of Emily’s banner is 10 times as large as the area of Taylor’s banner. What is the area of Emily’s banner, in square inches?

Answers

Answer:

[tex]45120 in^2[/tex]

Step-by-step explanation:

Area of Taylor's Banner (AT): [tex]A_T = 8*564=4512 in^2[/tex]

Area of Emily's Banner (AE): [tex]A_E=10*A_T[/tex]

Plugging in AT: [tex]A_E = 10 * 4512 = 45120 in^2[/tex]

The Area of Emily's Banner is 45120 inch²

What is Area of rectangle?

The Area of rectangle is the product of its length to its width.

i.e., Area of rectangle= length x width

Given:

Taylor’s banner : 8 inches tall and 564 inches wide.

Area of Taylor's Banner= l x w

= 8 x 564

= 4512 inch²

and, area of Emily’s banner is 10 times as large as the area of Taylor’s banner.

So, Area of Emil's Banner= 10 x 4512

= 45120 inch²

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The dial on a combination lock contains markings which represent the numbers from 0 to 39. How many 3- number combinations are possible if the first and the second must be different odd numbers, while the third number must not be an odd number?.

Answers

There are 64000 distinct combinations .

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

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Find the measure of the complement for the angle 1 degree

Answers

Answer:

89 degrees

Explanations:

The sum of an angle and its complement is equal to 90 degrees.

Let the measure of the complement be "x"

Given the information below:

Angle = 1 degrees

Taking the sum of the angle and its complement will give:

[tex]x+1^0=90^0[/tex]

Subtract 1 from both sides

[tex]\begin{gathered} x+1-1=90-1 \\ x+0=90-1 \\ x=89^0 \end{gathered}[/tex]

Therefore the measure of the complement for the angle given is 89 degrees

Zimak bought 3 xylobars and 5 yackities from the intergalactic Candy store for 1.75 Jeejuju paid 1.88 and got 4 xylobars and 1 yackity.How much would dado pay fir 1 xylobar and 2 yakities?

Answers

The amount that Dado will pay for 1 xylobar and 2 yakities is 1.779.

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Zimak bought 3 xylobars and 5 from the intergalactic Candy. Let this be:

3x + 5y = 1.75

x = xylobars

y = yackities

Jeejuju paid 1.88 and got 4 xylobars and 1 yackity. Let this be:

4x + y = 1.88

Equate the equations and this will be:

4x + y = 1.88 ....... i

3x + 5y = 1.75 .... ii

From equation i y = 1.88 - 4x

Put this into equation ii

3x + 5y = 1.75

3x + 5(1.88 - 4x) = 1.75

3x + 9.4 - 30x = 1.75

Collect like terms

3x - 30x = 1.75 - 9.4

-27x = -7.65

Divide

x = 7.65 / 27

x = 0.283

xylobars = 0.283

Since 4x + y = 1.88

4(0.283) + y = 1.88

1.132 + y = 1.88

y = 1.88 - 1.132

y = 0.748

The cost for 1 xylobar and 2 yakities will be:

x + 2y

0.283 + 2(0.748)

= 0.283 + 1.496

= 1.779

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Please help me I don’t know it

Answers

Answer:

angle 4 and 5 are interior angles, and 3 and 6 as well

Other Questions

Solve 2x + 32 + x = 17. x = 5 x = 0.2 x = −0.2 x = −5 Please and thank you.

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Solve 2x + 32 + x = 17.

x = 5
x = 0.2
x = −0.2
x = −5
Please and thank you.