equations with variables on both sides, evaluate each equation W - 20 = 6w 2n -5 = 7n 3 (f + 5)= 13+5f2(6c + 1 ) = 4 (c - 5) - 27 (a - 2) = 5( a + 2 )

Answers

Answer 1

(1). The given expression :

$w-20=6w$

Simplify :

$\begin{gathered} w-20=6w \\ subtract\text{ w on both side of equation} \\ w-w-20=6w-w \\ 5w=-20 \\ \text{divide both side by 5} \\ \frac{5w}{5}=\frac{-20}{5} \\ w=(-4) \end{gathered}$

Answer : w = (-4)

(2). the given expression :

$\begin{gathered} 2n-5=7n \\ subtract\text{ 2n from both side of the equation} \\ 2n-2n-5=7n-2n \\ -5=5n \\ \text{Divide both side by 5,} \\ \frac{-5}{5}=\frac{5n}{5} \\ n=-1 \end{gathered}$

Answer : n = -1

(3). The given expression :

$\begin{gathered} 3\text{ (f+5)=13+5f} \\ \text{simplify the brackets} \\ 3f+15=13+5f \\ \text{subtract 3f from both side} \\ 3f-3f+15=13+5f-3f \\ 15=13+2f \\ \text{subtract 13 from both side} \\ 15-13=13-13+2f \\ 2f=2 \\ f=1 \end{gathered}$

Answer : f=1

(4). The given expression is :

$\begin{gathered} 2(6c+1)=4(c-5)-2_{} \\ \text{Simplify the brackets} \\ 12c+2=4c-20-2 \\ \text{subtract 4c from both side and simplify} \\ 12c-4c+2=4c-4c-22 \\ 8c+2=-22 \\ \text{subtract 2 f rom both side} \\ 8c+2-2=-22-2 \\ 8c=-24 \\ \text{Divide both side by 8} \\ \frac{8c}{8}=\frac{-24}{8} \\ c=(-3) \end{gathered}$

Answer : c = -3

(5). The given expression :

$\begin{gathered} 7(a-2)=5(a+2) \\ \text{simplify the brackets} \\ 7a-14=5a+10 \\ \text{Subtract 5a on both side} \\ 7a-14-5a=5a-5a+10 \\ 2a-14=10 \\ \text{add 14 on both side} \\ 2a-14+14=10+14 \\ 2a=24 \\ Divide\text{ both side by 2,} \\ \frac{2a}{2}=\frac{24}{2} \\ a=12 \end{gathered}$

Answer : a=12

Related Questions

Select one or more expressions that together represent all solutions to the equation. Your answer should be in degrees.

Assume n is any integer.

4cos(10x)+2=2

Choose all answers that apply

A. -172° + n*36°
B. -90° + n*360°
C. -9° + n*36°
D. 9° + n*36°
E. 90° + n*360°

Answers

Answer:

Step-by-step explanation:

The answer you're looking for is A), C), and D),

Answer:

Cand E

Step-by-step explanation:

the answer is -9+n.36 and 9+n.36

I have 0 idea what this even means? Does anyone know the answer and if you could possibly elaborate if you do? Very confused over here

Answers

Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

How to determine the corresponding output value for this function?

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

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Given that X≈2 is an approximate solution to x^2+2x-2=5, use the graph to find another approximate solution round your answer to the nearest integer. X≈ ___

Answers

The nearest integer that is a solution, gotten through graphing of the quadratic function x² + 2x - 2 = 5, is x = -4

How to find the graphical solution of the function

Quadratic equations when plotted on a graph follows a parabolic path.

To plot the functions there will be table of values that is used in making the graph. The table of values is solved as follows

x² + 2x - 2 = 5 rearranging the equation will result to x² + 2x - 7 = 0

For x = -20, y = (-20)² + 2 * -20 - 7 = 353

For x = 0, y = (0)² + 2 * 0 - 7 = -7

For x = 20, y = (20)² + 2 * 20 - 7 = 433

x y

-20 353

0 -7

20 433

The graph is plotted and attached. From the graph the solution is

x = -3.828, to the nearest integer = -4

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Given that X2 is an approximate solution to x^2+2x-2=5, use the graph to find another approximate solution

let C be the curve y=5sqrtx for 1.1

Answers

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Write in Slope Intercept Form :-)

Answers

Answer:
y = -5x + 2

Explanation:

suppose the mean height in inches of all 9th grade students at one high school is estimated. the population standard deviation is 5 inches. the heights of 7y randomly selected students are 68, 63, 70, 69, 75, 63 and 72.x¯ = Margin of error at 90% confidence level = 90% confidence interval = [
,
]
[smaller value, larger value]

Answers

The 90% confidence interval is [64.21, 73.79].

To find the margin of error and confidence interval,

we can use the following formula:

Margin of error $= z* (sigma / \sqrt{(n))$

where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, n is the sample size, and sqrt represents the square root.

Since we want a 90% confidence interval, the corresponding z-score can be found using a standard normal distribution table or calculator.

The z-score for a 90% confidence level is 1.645.

Plugging in the values we have:

Margin of error = 1.645 * (5 / sqrt(7))

≈ 4.05

So the margin of error is approximately 4.05 inches.

To find the confidence interval, we need to add and subtract the margin of error from the sample mean:

Lower bound = x¯ - margin of error

= (68+63+70+69+75+63+72) / 7 - 4.05

≈ 64.21

Upper bound = x¯ + margin of error

= (68+63+70+69+75+63+72) / 7 + 4.05

≈ 73.79

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A parachutist’s speed during a free fall reaches 165 feet per second. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answer.

Answers

Answer:

$x=750m$

Step-by-step explanation:

$Assuming$ $That$:

$1m=3.3ft$

We can make the conversion from feet per second to meters per second with this procedure:

$(165 \frac{ft}{s} ) (\frac{1m}{3.3ft} )=50\frac{m}{s}$

Let $x$ be the amount of meters the parachutist will fall during 15 seconds of free fall

Having that in 1 second the parachutist falls 50 meters, we can calculate $x$ :

$x=(50\frac{m}{s} )(15s)$

$x = 750 m$

Brainliest?!

Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7

Answers

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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IXL Please Help Fast!

Answers

Answer:

Step-by-step explanation:

should be both line GJ and JK as well as line HK and JK

Derive Integral equation for dy/dv

Answers

By the fundamental theorem of calculus,

$\displaystyle y = \int_0^v \sqrt{3+4t^2} \, dt \implies \boxed{\frac{dy}{dv} = \sqrt{3+4v^2}}$

In general,

$\displaystyle \frac{d}{dx} \int_0^{g(x)} f(u) \, du = f(g(x)) \frac{dg}{dx}$

please help me! Angles A and B are complementary. If mA is 48", what is the measure of ZB?
OA. 48°
OB. 42°
OC. 132°
OD. 312°

Answers

Answer:

42 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees

90-48=42

Answer:

B) 42°

Step-by-step explanation:

"complementary" means the angles add up to 90°

48° + 42° = 90°

Angle B must be 42°.

Tamara needs $624 for her budget every week. She works 40 hours a week.
What is the minimum amount Tamara needs to earn per hour?

Answers

Answer:

$15.6

Step-by-step explanation:

Based on the given information, it is $15.6. However, it never specified how many hours she works a day and how many days of the week she works, so we must assume it is just 624/40.

Answer:

minimum amount Tamara needs to earn per hour = 15.6.

Step-by-step explanation:

40 × x = 624

x = 624/40 = 156/10 = $15.6 per hour.

please give me brainliest .:-)

Which choice is equivalent to the quotient shown here for acceptable values of x? sqrt25(x-1)÷sqrt5(x-1)^2

Answers

We have

$\frac{\sqrt[]{25(x-1)}}{\sqrt[]{5(x-1)^2}}$

we will use the next rules

$\sqrt[]{n\cdot m}=\sqrt[]{n}\sqrt[]{m}$$\sqrt[]{m}=m^{\frac{1}{2}}$

with these in mind we can find the equivalent quotient.

$\frac{\sqrt[]{25(x-1)}}{\sqrt[]{5(x-1)^2}}=\frac{\sqrt[]{25}\sqrt[]{x-1}}{\sqrt[]{5}\sqrt[]{(x-1)^2}}=\frac{5(x-1)^{\frac{1}{2}}}{5^{\frac{1}{2}}(x-1)}$

then we will use

$\frac{a^n}{a^m}=a^{n-m}$

so we continue simplifying

$\frac{5(x-1)^{\frac{1}{2}}}{5^{\frac{1}{2}}(x-1)}=5^{1-\frac{1}{2}}(x-1)^{\frac{1}{2}-1}=5^{\frac{1}{2}}(x-1)^{-\frac{1}{2}}=\frac{\sqrt[]{5}}{\sqrt[]{x-1}}=\sqrt[]{\frac{5}{x-1}}$

the answer is B.

Two families buy large sandwiches of the same size. Family A shares one sandwich equally among 4 people. family B shares one sandwich equally among 2 people. Will a person from Family A get the same amount or a different amount of a sandwich as a person from family B?
there's a drawing of 4 squares to represent the 4 ppl

Answers

Answer:

Different Amount

Step-by-step explanation:

4 is more than 2 and there would need to be 2 sandwiches in family a in order for them to be equal

which expression is equivalent to x-5/3? 1/5√3^3 1/3√x^5 -3√x^5 -5√x^3

Answers

Answer:

What grade is this 12th?

Step-by-step explanation:

The equivalent expression for the expression given; (( 5/7 )² × (1/3)-³)-¹ is; (7/5)² • (1/3)³.

What is the equivalent expression for the given expression?

It follows from the task content that the expression which is equivalent to that which is given is to be determined.

here, we have,

Hence, since the given expression is; (( 5/7 )² × (1/3)-³)-¹;

It follows from the power of powers law of indices that we have;

( 5/7 )-² • (1/3)³

Also, according to the negative exponent law of indices; we have;

(7/5)² • (1/3)³.

On this note, the required equivalent expression is; (7/5)² • (1/3)³.

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While driving your rental car on your vacation in Europe, you find that you are getting 13.3 km/of gasolineWhat does this value correspond to in miles per gallon?

13.3km/L=__________mi/gal

Answers

The rental car is getting approximately 37.56 miles per gallon.

To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:

1 km/l ≈ 2.82475 mpg

Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:

13.3 km/l x 2.82475 mpg ≈ 37.56 mpg

So, your rental car is getting approximately 37.56 miles per gallon.

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FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:

Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205

Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)

Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)

Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)

Answers

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

Solve the following equation for x: 2x − 3y = 6. Group of answer choices

Answers

The equation for x is,

⇒ x = 3/2y + 3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

2x - 3y = 6

We can simplify the equation as,

2x - 3y = 6

Divide 2 both side,

x - 3/2 y = 3

Add 3/2y both side,

x - 3/2 y + 3/2 y = 3 + 3/2 y

x = 3/2 y + 3

Hence, The equation for x is,

⇒ x = 3/2y + 3

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Jordan is working two summer jobs, making $6 per hour walking dogs and making $15 per hour clearing tables. In a given week, he can work a maximum of 11 total hours and must earn at least $120. If xx represents the number of hours walking dogs and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

xx=5 and yy=6

Step-by-step explanation:

Hope it helps you

I am stuck please help with this graph.

Answers

An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

How to interpret and determine the equation of g(x)?

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Please solve this question

Answers

The correct order from least to greatest is log₂ 26, log₂ 33, log 26, eln 4, the correct option is D.

We are given that;

The logs log, 26, log, 33 and log3 26

Now,

We can simplify these expressions using the following identities:

eln x = x

log a a = 1

log a (b × c) = log a b + log a c

log a (b / c) = log a b - log a c

Using these identities and the properties of logarithms listed above, we can compare the given expressions as follows:

A. eln 4 = 4; log 26 < log 33; so we have:

4 < log 26 < log 33

B. eln 4 = 4; so we have:

log 33 < 4 < log 26 < log 26

C. eln 4 = 4; so we have

log₂ 26 < log 26 < log 33 < 4

D. eln 4 = 4; so we have:

log₂ 26 < log₂ 33 < log 26 < 4

Therefore, by logarithm the answer will be log₂ 26, log₂ 33, log 26, eln 4.

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Please help me with this question I will mark brainliest

Answers

Answer:

0.42 ÷ 7

Step-by-step explanation:

There is a total of 42 squares out of 100 in the diagram.

It is broken into 7 equal parts.

This can be represented by 0.42 ÷ 7

Write the equation of this line in slope-intercept form.

Answers

The equation of the linear function is y = -5x - 3

How to determin the equation of the linear function

From the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

This means that

y = mx - 3

From the graph, we have

(x, y) = (-1, 2)

Substitute the known values in the above equation, so, we have the following representation

2 = -m - 3

Evaluate

m = -5

So, we have

y = -5x - 3

Answers

Answer:

B. -18

Step-by-step explanation:

In order to find the fourth term of the sequence, first find second term, next, third term and finally fourth term.

$a_n = - 6 + a_{(n - 1)} \\ \\ \implies \: a_2 = - 6 + a_{(2 - 1)} = - 6 + a_1 = - 6 + 0 \\ \\ \implies \: \pink{a_2 = - 6} \\ \\\: a_3 = - 6 + a_{(3 - 1)} = - 6 + a_2 = - 6 + ( - 6) \\ \\ \implies \: \purple{ a_3 = - 12}\\ \\\: a_4= - 6 + a_{(4 - 1)} = - 6 + a_3 = - 6 + ( - 12) \\ \\ \implies \: \huge { \red{a_4 = - 18}}$

Another way:

$a_1=0$

$a_2=-6$(Calculated above)

$a_3=-6+a_2=-6-6=-12$

$a_4=-6+a_3=-6-12=-18$

18) Solve for side AC.
A) 1.10
B) 8.24
C) 9.50
70
C
3
B

Answers

Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

For each value of v , determine whether it is a solution to v/9+7=13

Answers

v/9=6
v=6/9
v=2/3
Hope this helps

A bag contains 1 gold marbles, 6 silver marbles, and
28 black marbles. Someone offers to play this game:
You randomly select one marble from the bag. If it
is gold, you win $3. If it is silver, you win $2. If it is
black, you lose $1.

Answers

To calculate the expected value of playing this game, we need to multiply the value of each possible outcome by its probability of occurring and then add these values together. In this case, there is 1 gold marble, 6 silver marbles, and 28 black marbles in the bag, for a total of 35 marbles. So, the probability of selecting a gold marble is 1/35, the probability of selecting a silver marble is 6/35, and the probability of selecting a black marble is 28/35. The value of winning $3 if a gold marble is selected is $3 * (1/35) = $0.09. The value of winning $2 if a silver marble is selected is $2 * (6/35) = $0.34. And the value of losing $1 if a black marble is selected is -$1 * (28/35) = -$0.80. Adding these values together, we get $0.09 + $0.34 - $0.80 = -$0.37. Therefore, the expected value of playing this game is approximately -$0.37.

can someone help me on 5 or 6. (find the area and perimeter)

Answers

Answer:

the answer is 6 trust. poopoo

Compare the cube root of 92 and 450% using <, >, or =.

Answers

The 450% is less than the cube root of 92.

What is a cube root?

The cube root of a number is the factor that we multiply by itself three times to get that number.

Given values are 450% and cube root of 92.

Cube root of 92 is 4.514 and 450% is given by

450/100=4.500

Here, 4.500 < 4.514

Hence, we can conclude that 450% < cube root of 92.

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how do you find the height of a composite figure made up of 2 different 3-d shapes?

Answers

In order to find the height of 2 different 3-D shapes, we must identify which dimension represents the height for each individual shape and then add them together.

How can we determine height of the composite 3-D figure?

The first thing is that we must identify which dimension represents the height for each individual shape, for instance, if one shape is a rectangular prism, its height would be the length of one of its sides.

After we identified the height for each shape, you can add them together to get the total height of the composite figure, but, we must understand that this method assumes that the two shapes are stacked vertically on top of each other with their bases aligned.