Which of the following transformations will produce a figure that is similar, but not congruent, to the original figure? (someone help me! Ill give 100 points!)

Answers

Answer 1

The transformation that produces a similar figure that is not congruent to the orginal figure would be: A. dilation.

We know that Dilation is a formm of transformation which involves the enlargement or reduction of an image to create a new image that is similar to the original image.

By implication, the new image has becomes different size but the same shape with the original image.

However Dilation produces a figure that is similar but not congruent to the original figure.

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Related Questions

PLEASE PLEASE HELP WILL MARK BRAINLIST!!!!!!!!!!!!

Answers

Answer:

[tex]g(x) = {x}^{2} + 5[/tex]

The graph shows g(x), which is a translation of [tex]f(x) = x^2[/tex]. The function rule for g(x) is [tex]x^2 + 5[/tex]. Hence, g(x) = [tex]\underline{x^2 + 5}[/tex]

Given, g(x) is a translation of [tex]f(x) = x^2[/tex]

Let the equation of the function g(x) be

[tex]g(x) = a(x - h)^2 + k[/tex] ----------(1)

This curve passes through the points (1, 6), (-1, 6) and (2, 9), then their coordinates satisfy the equation:

[tex]6 = a(1 - h)^2 + k[/tex]----------(2)

[tex]6 = a(-1 - h)^2 + k[/tex]----------(3)

[tex]9 = a(2 - h)^2 + k[/tex]----------(4)

Subtract (2) from the first:

[tex]6 - 6 = a(1 - h)^2 + k - a(-1 - h)^2 - k[/tex]

[tex]0 = a((1 - h)^2 - (-1 - h)^2)[/tex]

As a [tex]\neq[/tex] 0,

then [tex](1 - h)^2 - (-1 - h)^2 = 0[/tex]

[tex](1 - h)^2 = (-1 - h)^2[/tex]

[tex]1 - h = -1 - h[/tex],

or [tex]1 - h = 1 + h[/tex]

As, 1 = -1 is false

h = 0

Then, substituting h = 0 in (2) and (4),

[tex]6 = a(1 - 0)^2 + k[/tex] ⇒ [tex]6 = a + k[/tex] ----------(5)

[tex]9 = a(2 - 0)^2 + k[/tex] ⇒ [tex]9 = 4a + k[/tex] ----------(6)

Solving (5) and (6) we get,

3a = 3

a = 1

Substituting a = 1 in (5),

6 = 1 + k ⇒ k = 5

Substituting a = 1, h = 0 and k = 5 in equation (1),

[tex]g(x) = x^2 + 5[/tex]

Therefore, the function rule for g(x) is [tex]x^2 + 5[/tex].

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In 1–2 sentences, explain how a fossil is found.

Please hurry!!!

Answers

a fossil is usually found by digging underground

Answer: a fossil is usually found under layers and layers of rock. you can find one by digging deep enough

This table shows outcomes of a spinner with 3 equal sections colored yellow, black, and blue.
Section Outcomes
Yellow
50
Black
60
Blue
90
Based on the outcomes, enter the estimated probability of the spinner landing on blue.

Answers

The probability of the spinner landing on blue is given as follows:

P(blue) = 0.45 = 45%.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The total number of trials for this problem is given as follows:

50 + 60 + 90 = 200 trials.

On 90 of these trials, the spinner landed on blue, hence the probability is given as follows:

p = 90/200 = 0.45 = 45%.

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Please do 1 to 10 I really need help and thank you

Answers

The values that go into the blanks are 19200 g, 3700 g, 8455 g, 800 g, 4450 g, 2.765 kg, 77 g, 12.508 kg, 30000 g and 7200 grams

Evaluating the sum and difference expressions

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

Statements 1 to 10

Evaluating the expressions, we have

Conversion

19 1/5 kg = 19 1/5 * 1000 g

19 1/5 kg = 19200 g

Sum

3.4 kg + 3/10 kg = 3.7 kg

3.4 kg + 3/10 kg = 3700 g

Difference

8.5 kg - 45 g = 8.455 kg

8.5 kg - 45 g = 8455 g

Dictionary and book

Heavier by = 1200 g - 0.4 kg

Heavier by = 800 g

Sum

1/2 kg + 50 g + 3.9 kg = 500 g + 50 g + 3900 g

1/2 kg + 50 g + 3.9 kg = 4450 g

Comparison

3 kg 15 g = ___ more than 1/4 kg

We have

Difference = 3 kg 15 g - 1/4 kg

Difference = 2.765 kg

So:

3 kg 15 g = 2.765 kg more than 1/4 kg

Sum

7/10 kg + 7/100 kg = 77 g

Sum

8 kg 8 g + 4 1/2 kg = 12.508 kg

Mr. Tan and Lisa

We have

Mr. Tan = 75 kg

Lisa = 2/5 of Mr. Tan

So, we have

Lisa = 2/5 of 75 kg

Lisa = 30000 g

Mass of 12 boxes

We have

Mass of 1 box = 0.6 kg

So, we have

Mass of 12 boxes = 0.6 kg * 12

Mass of 12 boxes = 7200 grams

Answers

If greenfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years. the total increase or decrease in income by replacing the current equipment with the new equipment is:$22,000 decrease.

Here, we have,

to find the increase or decrease in income

Annual Savings $76,000

($19,000 × 4 years)

Add Proceeds from Sale of Machine $22,000

Total $98,000

Total increase or decrease in income = $98,000 - $120,000

Total increase or decrease in income = $22,000 (Decrease)

Therefore the decrease in income is $22,000.

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complete question:

granfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years. at the end of the four years the equipment will have a zero-salvage value. granfield can purchase new equipment for $120,000 and receive $22,000 in return for trading in its current equipment. the current equipment has variable manufacturing costs of $39,000 per year. the new equipment will reduce variable manufacturing costs by $19,000 per year over its four-year life. the total increase or decrease in income by replacing the current equipment with the new equipment is:

If Joey worked for himself and called his company "Joey's Construction Company" and made $25,000 per year, how much would he pay per year in total Social Security and Medicare tax?

A. $3,182.40

B. $1,163.00

C. $1,591.20

D. $3,825.00

Answers

Joey could need to pay $3,825.00 per year in total Social security and Medicare tax if he operates his personal construction company as a self-employed individual. Therefore Option D is correct.

If Joey is self-employed and operates his personal construction organization, he would need to pay both the employee and organization portions of the Social safety and Medicare taxes. those taxes are together referred to as self-employment taxes.

The current self-employment tax charge for Social security is 12.4% on profits up to $142,800 (as of 2021) and the price for Medicare is two.9% and not using a earnings limit.

But, for the reason that Joey is each the worker and the employer, he might need to pay both portions, resulting in a total self-employment tax rate of 15.3%.

To calculate the full amount of Social security and Medicare tax that Joey would pay, we can multiply his profits of $25,000 via the self-employment tax fee of 15.3%:

$25,000 x 0.153 = $3,825.00

Therefore, Joey could need to pay $3,825.00 per year in total Social security and Medicare tax.

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Find the shortest distance from Starting vertex A to F on the network below

Answers

In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:

What are the steps?

Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.

Establish the initiating vertex as the current vertex.

Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.

Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.

Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.

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The Coca Cola produced 2-liter bottle of soda. The production department reported that the standard deviation of the bottle is 0.4 liters. The quality control department conduct a random checking on the content of the bottles and obtained 1.97 liters from 200 pieces of 2-liter bottles. Test if there's enough evidence that the average amount in bottles is different from the standard 2 liters. Use 5% level of significance.

Answers

The calculated z-value of -2.93 is less than -1.96, we can reject the null hypothesis and conclude that there is enough evidence to suggest that the average amount in bottles is different from the standard 2 litres.

To test whether there is enough evidence that the average amount in bottles is different from the standard 2 litres, we can use a two-tailed hypothesis test with the following null and alternative hypotheses:

Null hypothesis: The population mean is equal to 2 litres.

Alternative hypothesis: The population mean is not equal to 2 litres.

We will use a z-test to compare the sample mean to the population mean. The test statistic is calculated as:

[tex]z = \dfrac{(x - \mu)} { \dfrac{\sigma} { \sqrt{n}}}[/tex]

where x is the sample mean, μ is the population mean (2 litres), σ is the population standard deviation (0.4 litres), and n is the sample size (200).

Plugging in the values, we get:

z = (1.97 - 2) / (0.4 / √200) = -2.93

The crucial values for a two-tailed test are -1.96 and 1.96 at a 5% level of significance. We may reject the null hypothesis and come to the conclusion that there is sufficient evidence to imply that the average amount in bottles is different from the typical 2 litres because the calculated z-value of -2.93 is smaller than -1.96.

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If p=a^x, q=a^y and a^4=(p^4y.q4x)^z

Answers

The prove of expression is shown below.

Now, It is given that;

P = aˣ , q = [tex]a^{y}[/tex] and a⁴ = [tex](p^4^y q^4^x)^z[/tex]

And, we have to prove that xyz = 1/2.

Hence, We can simplify as;

Since, here a⁴ = [tex](p^4^y q^4^x)^z[/tex]

⇒ a⁴ = [tex][(a^x)^{4y} . (a^y)^4^x ]^z[/tex]

⇒a⁴ = [tex][a^{4xy} . a^{4xy} ]^z[/tex]

⇒a⁴ = [tex][a^{4xy + 4xy} ]^z[/tex]

⇒a⁴ = [tex](a^{8xy} )^{z}[/tex]

⇒a⁴ = [tex]a^{8xy} ^{z}[/tex]

⇒ 4 = 8xyz

⇒ xyz = 1/2

Thus, It can prove as shown.

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Question is,

If p = a^x, q = a^y and a^4 = (p^4y.q^4x)^z prove that xyz =1/2

The expression xyz = 1/2 is proved.

The given exponential expressions are,

[tex]p = a^{x}[/tex]

[tex]q = a^{y}[/tex]

And [tex]a^{4} = (p^{4y} q^{4x}) ^{z}[/tex]

Now proceed the third expression,

[tex]a^{4} = (p^{4y} q^{4x}) ^{z}[/tex]

⇒[tex]a^{4} = ((a^{x} )^{4y} (a^{y} )^{4x}) ^{z}[/tex]

⇒[tex]a^{4} = (a^{4xy} a^{4xy}) ^{z}[/tex]

⇒[tex]a^{4} = (a^{8xy}) ^{z}[/tex]

⇒[tex]a^{4} = a^{8xyz}[/tex]

Now equate the exponents

⇒ 8xyz = 4

⇒ xyz = 1/2

Which was required.

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The complete question is :

If [tex]p = a^{x}[/tex], [tex]q = a^{y}[/tex] and [tex]a^{4} = (p^{4y} q^{4x}) ^{z}[/tex] then prove that xyz =1/2.

Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 41 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 6.8 and a standard deviation of 3.7. What is the 90% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Use GeoGebra!
Enter your answers accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

Answers

The 90% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is given as follows:

[tex]5.8 < \mu < 7.8[/tex]

What is a t-distribution confidence interval?

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the variables of the equation are presented as follows:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 41 - 1 = 40 df, is t = 1.6839.

The parameters for the interval in this problem are given as follows:

[tex]\overline{x} = 6.8, s = 3.7[/tex]

The lower bound of the interval is given as follows:

6.8 - 1.6839 x 3.7/sqrt(41) = 5.8.

The upper bound of the interval is given as follows:

6.8 + 1.6839 x 3.7/sqrt(41) = 7.8.

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2. Electric vehicles are becoming more prevalent. In order to make them more attractive to consumers, they need to increase the distance travelled on a single charge. Current records show that the distance travelled on a single charge is 500km and is normally distributed. Modifications have been made to the batteries and a sample of 5 vehicles showed the following distances travelled on a single charge: 520km 600km 495 km 575km 580km If we test at the 0.05 level of significance can we conclude that the modifications increase the distance travelled on a single charge? a) State the hypotheses. b) What is the decision rule? c) What is the test statistic? d) What is your decision?

Answers

Null hypothesis: H0: mu <= 500 km

Alternative hypothesis: Ha: mu > 500 km

How to solve for the test statistics

The decison rule is: If the calculated t-value is greater than 2.131, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

The test statistics

t = (x - mu) / (s / sqrt(n))

= (554 - 500) / (48.8 / sqrt(5))

= 3.01

The calculated t-value of 3.01 is greater than the critical t-value of 2.131. Therefore, we reject the null hypothesis.

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Subtract and simplify: need help photo attached

Answers

Simplifying the given problem using laws of exponents is: 3∜(x⁶y⁴) - y∜x⁶

How to use laws of exponents?

Some of the laws of exponents are as follows:

1) When multiplying like bases, keep the base the same and add the exponents.

2) When raising a base with a power to another power, keep the base the same and multiply the exponents.

3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

We are given the expression:

∜(81x⁶y⁴) - y∜x⁶

Using laws of exponents, we can rewrite this as:

[81^(1/4) * x^(6/4) * y^(4/4)] - [y * x^(6/4)]

This gives us:

(3 * x^(6/4) * y) - y(x^(6/4))

= x^(6/4)(3y - y)

= 2yx^(6/4)

We can also write it as:

3∜(x⁶y⁴) - y∜x⁶

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A cylinder has a diameter of 4 m and a height of 2 m. What is the surface area of the cylinder?
16π m³
8π, m³
12π, m³
128π, m³

Answers

The surface area of a cylinder can be calculated by adding the area of the top and bottom circles to the area of the curved surface. The diameter of the cylinder is 4 meters, which means the radius is 2 meters. The area of a circle can be calculated using the formula A = πr².

The area of each circle is:

A = πr² = π(2m)² = 4π m²

The area of the curved surface is the circumference of the circle (2πr) multiplied by the height (2m):

A = 2πrh = 2π(2m)(2m) = 8π m²

Therefore, the total surface area of the cylinder is:

A = 2A_circle + A_curved surface
A = 2(4π m²) + 8π m²
A = 8π m² + 8π m²
A = 16π m²

So the surface area of the cylinder is 16π square meters. Therefore, the answer is a. 16π m².

Answer: [tex]16\pi[/tex]

Step-by-step explanation:

The equation for the surface area of a cylinder is [tex]2\pi r^2 + 2\pi rh[/tex]

and the equation to find the radius (r) is diameter divided by 2 so [tex]\frac{d}{2}[/tex].

We know that...

r = [tex]\frac{4}{2}[/tex] = 2mh = 2m

so the full equation would be [tex]2\pi (2)^2 + 2\pi (2) (2) = 16\pi[/tex]

An engineer is drafting a section view for an assembly. Identify from the illustration which two materials are used in the assembly?

A.
cast iron and steel
B.
zinc and aluminum
C.
brass and zinc
D.
steel and aluminum
E.
cast iron and aluminum

Answers

Answer:

Based on the illustration, it seems that the two materials used in the assembly are cast iron and aluminum (option E).

At a basketball game, for every 2 baskets team A scored, team B scored 5 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is choices: 2 to 3, 2 to 5, 3 to 2, 5 to 2

Answers

The ratio of the number of baskets scored by team A to the number of baskets by team B is 2: 5. Then the correct option is B.

In a basketball game, team B scored 5 baskets for every 2 that team A scored.

The utilization of two or more additional numbers that compares is known as the ratio.

Assume that Team A scored two baskets while Team B netted five.

The problem statement states that for every two baskets Team A scored, Team B scored five. This may be expressed as the ratio shown below:

Ratio = 2x : 5x

Ratio = 2: 5

Thus, the correct option is B.

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Plot 125, −12, and −2110 on the number line.

Answers

The Plot on the number line are shown in the image attached.

How to plot on a number line?

A number line is a pictorial representation of numbers on a straight line. The numbers increase as you move towards the right side of horizontal number line and the numbers decrease as you move towards the left.

Looking at the number line, there are 10 divisions between two points e.g. 0 to 1.

To know the value of 1 division, we divide the value of the distance between two points by the number of divisions:

= 1/10 = 0.1

1 2/5:

2/5 = 4 divisions

-1/2:

1/2 = 5 divisions

-2 1/10:

1/10 = 1 division

Thus, we can plot on the number line as shown in the image attached.

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Tony has 16 plants. He waters each plant using 125 ml of water. How many liters of water will it take to water all the plants

Answers

Answer:

2000 ml or 2l

Step-by-step explanation:

Multiply the amount of mL and the number of plants

125 mL x 16 = 2000 mL

Use the conversion rate of mL to L to find the # of Liters (1 L = 1000 mL)

2000 mL x 1 L/1000 mL = 2 Liters

Why are (1, 2) and (2, 1) not equal ordered pairs

Answers

Answer: they are not the same on a grid

Step-by-step explanation: to find the ordered paris the first one you count to the left and up so it would be 1 left, 2 up. the second one would be 2 left, one up

Is it possible to have a polygon with the degrees of 10, 15, and 155 ?

Answers

Yes. 10+15+155= 180 there are 180° in a triangle.

an object is dropped from the top of a tower with a height of 1120 feet neglecting air resistance the height of the object at time T seconds is given by the polynomial 16 T squared 1120 how many seconds until it hits the ground

Answers

The requried it takes 8.37 seconds for the object to hit the ground.

The polynomial 16T² - 1120 gives the height of the object in feet as a function of time T in seconds after it is dropped from a height of 1120 feet. When the object hits the ground, its height is zero. So we can set the polynomial equal to zero and solve for T:

16T² - 1120 = 0

T² - 70 = 0

T² = 70

T = ±√70

Since time cannot be negative, we can disregard the negative solution. Therefore, the object hits the ground after:

T = √70 ≈ 8.37 seconds

So it takes 8.37 seconds for the object to hit the ground.

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A part of the machine is cut in the above manner. Which type of section view does it depict?

A.
half section view
B.
full section view
C.
offset section view
D.
revolving section view
E.
removed section view

Answers

The offset section of machine depicts.

Hence option (C) is correct.

In the given figure

If machine is cut according the given manner

Then the three part be cut accordingly

Since the cut mark divides the machine segment into equal parts.

So after cutting of machine

We get offset section of each subparts.

Hence it shows offset section of machine.

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1. What is the value of pi to two decimal places?

Answers

Answer:

3.14

Step-by-step explanation:

The value of pi to two decimal places is 3.14. It is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. Pi is an irrational number, which means it cannot be expressed as a finite decimal or fraction. It is an important constant in many fields of mathematics and science, including geometry, trigonometry, and physics. The decimal representation of pi goes on infinitely without repeating, making it an interesting and challenging topic for mathematicians to explore.

Algebra 1 > V.16 Checkpoint: Systems of equations and inequalities LOW
Lisa's dance company is selling candles for a fundraiser. The candles come in two sizes: small
and large. This table shows how many candles Lisa and her friend Kayla sold.
Lisa
Kayla
Small candles Large candles Total sales
16
$360
$400
12
7
22
What was the price of each size candle?
Small candles cost $
Submit
each and large candles cost $
Work it out
each.

Answers

When we solve the system of equation, we notice that the small candles cost $10 and the large candles cost $15 each.

How do we solve the system of equation to find the individual cost of each candles?

The system of equation, presented by the table can be expressed as;

12s + 16l = $360

7s + 22l = $400

Lets use the elimination method

(12s + 16l = 360) × 7

(7s + 22l = 400) × 12

The new equation becomes

84s + 112l = 2520

84s + 264l = 4800

We subtract the equation. E2 - E1

(84s + 264l) - (84s + 112l) = 4800 - 2520

(84 - 84) - (264l - 112l) = 2280

152l = 2280

l = 15

Since we know the price of the large candle, we can find the small candle

12s + 16l = 360

12s + 16($15) = 360

12s + 240 = 360

12s = 360 - 240

12s = 120

s = 10

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Geometry Unit 11: Volume & Surface Area HW 1/ Area of plane figures. Please help!

Answers

The calculated area of the plane figure is 467.61 sq ft

Calculating the area of the plane figure

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

The plane figure

The plane figure is a trapezoid

So, we start by calculating the height of the trapezoid as follows (using the pythagorean theorem)

h^2 = 18^2 - (33 - 25)^2

Evaluate

h^2 = 260

So, we have

h = √260

The area of the plane figure is then calculated as

Area = 1/2 * Sum of parallel sides * Height

So, we have

Area = 1/2 * (33 + 25) * √260

Evaluate

Area = 467.61

Hence, the area is 467.61 sq ft

Answers

30x + 40y ≤ 240 and 2x + y ≥ 8 are the required system of inequalities and the graph is given in attachment

Let x be the number of pages printed with layout a, and let y be the number of pages printed with layout y.

We want to maximize the number of pictures printed subject to the cost constraint.

The cost constraint can be expressed as:

30x + 40y ≤ 240

We also have a constraint on the number of pictures:

4x + 2y ≥ 16

This inequality can be simplified to:

2x + y ≥ 8

We can graph these inequalities on the xy-plane:

First, graph the line 30x + 40y = 240 by finding its intercepts:

x-intercept: 30x + 40y = 240 -> x = 8

y-intercept: 30x + 40y = 240 -> y = 6

So the line passes through the points (8,0) and (0,6).

Next, graph the line 2x + y = 8:

x-intercept: 2x + y = 8 -> x = 4

y-intercept: 2x + y = 8 -> y = 8

So the line passes through the points (4,0) and (0,8)

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The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted.
What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted?

Answers

The rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted would be = 7ft/year. That is option C.

How to calculate the rate of change of average height?

To calculate the rate of change of the average height of the trees in the farm the following is carried out.

The total heights of the tress that was recorded;

= 10+24+45+80+108

= 267 ft

The total number of years that was recorded;

= 1+3+6+12+15

= 37 years

Therefore the rate of change of the average height of the tress would be = 267/37 = 7 ft/yr.

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Dok=(0,2)—>(0,6) the scale factor is

Answers

Answer:

(x*0) (y*3)

Step-by-step explanation:

times 3

deshaun rented a truck for one day. There was a base fee of 15.00, and there was an additional charge of 7 cents for each mile driven. The total cost, C (in dollars), for driving x miles is given by the following: C= 15.00 + 0.07x.
what is the total rental cost if Deshaun drove 40 miles?

Answers

Answer:

$17.8

Step-by-step explanation:

C= 15.00 + 0.07(40)

Un viajero ha recorrido la tercera parte de su trayecto y sabe que si cubre 65 km más completa la mitad del recorrido. Determine la distancia recorrida.

Answers

The travelled distance of the traveller is equal to 195 kilometers.

How to find the travelled distance by a traveller

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

d - Travelled distance, in kilometers.x - Initial travelled distance, in kilometers.

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

To learn more on travelled distances: https://brainly.com/question/29055485

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What values of x make the two expressions below equal?
(x+3)(x+8)= +3
5(x+8)
OA. All real numbers except -8
B. All real numbers except -8 and -3
O C. All real numbers except -3
OD. All real numbers

Answers

The value of x make the two expressions equal is -2.2

Calculating what values of x make the two expressions equal?

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

(x+3)(x+8)= 3/5(x+8)

Divide both sides of the equations by x + 8

So, we have the following representation

x + 3 = 3/5

Multiply through the equation by 5

So, we have

5x + 15 = 3

This gives

5x = -12

Divide both sides by 5

x = -12/5

Evaluate the quotient

x = -2.2

Hence the value of x is -2.2