solve this 6(x+4)+1=x+5

Answers

Answer 1
6x + 24+1= x+5
6x-x+25-5=0
5x+20=0
5x=-20
x= -20/5= -4
Answer 2
Answer:

[tex] \sf :\implies \quad {\pmb{x = - 4}}[/tex]

Solution:

Let's solve the given equation step by step ;

[tex] \sf :\implies \quad 6(x + 4) + 1 = x + 5[/tex]

The first step is to distribute the equation:

[tex] \sf :\implies \quad (6 \times x ) + (6 \times 4) + 1 = x + 5[/tex]

[tex] \sf :\implies \quad 6x + 24 + 1 = x + 5[/tex]

[tex] \sf :\implies \quad 6x + 25 = x + 5[/tex]

Second step is to combine the like terms:

[tex] \sf :\implies \quad 6x + 25 - x = 5[/tex]

[tex] \sf :\implies \quad( 6x - x) + 25 = 5[/tex]

[tex] \sf :\implies \quad 5x + 25 = 5[/tex]

Now, subtract 25 from both sides :

[tex] \sf :\implies \quad 5x + 25 - 25 = 5 - 25[/tex]

[tex] \sf :\implies \quad 5x = - 20[/tex]

Divide both sides by 5:

[tex] \sf :\implies \quad \dfrac{5x}{5} = - \dfrac{20}{5} [/tex]

[tex] \sf :\implies \quad \boxed{ \pmb{\sf x = - 4}}[/tex]

Hence, your answer is ; x = -4


Related Questions

Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use section formula ~

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{mx_2 + nx_1}{m + n} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{my_2 + ny_1}{m + n} [/tex]

And since mid point divides a line segment Into two equal parts, m : n = 1 : 1

so, take m = n = 1

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{(1 \times - 1)+(1 \times - 2)}{ 1+ 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{- 1- 2}{ 2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ - 3}{ 2} [/tex]

Now, let's find y - coordinate ~

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{(1 \times - 5) + (1 \times - 4)}{1 + 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{ - 5 - 4}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{ - 9}{2} [/tex]

So, coordinates of midpoint is ~

[tex]\qquad \sf  \dashrightarrow \:( - \dfrac{3}{2} ,- \dfrac{9}{2} )[/tex]

If 140 people were surveyed how many preferred crab? /////Show your work!

Answers

[tex]\qquad\qquad\huge \: \sf Answer[/tex]

Number of people who prefer crabs are :

[tex] \\qquad \tt \dashrightarrow \:{30\% \:\: of \:\: 140} [/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{30}{100} \times 140 [/tex]

[tex]\qquad \tt \dashrightarrow \:3 \times 14[/tex]

[tex]\qquad \tt \dashrightarrow \:42 \: \: people[/tex]

A glass jar has a height of 5 inches and a radius of 2. 5 inches. vanessa wants to fill the jar with beads that cost $0. 12 per cubic inch. how much will it cost for her to fill the jar?

Answers

Answer:
height(h)= 5in
radius(r) =2.5in
Volume(V)= pi ×r^2 ×h
V=(22/7)2.5^2×5=98.21in^3
$0.12=1 in^3
Amount to be paid= 0.12×98.21
=$11.79

Step-by-step explanation:
Firstly, find the volume of the jar. When the filled with the beads to the brim, it will assume the shape of the jar, hence their volume will be equal. We assume that the jar is a cylinder. After you find the volume, multiply the volume by the amount per cubic inches.

One of the lamp posts at a bank has a motion detector on it, and the equation (x 15)2 (y−12)2=25 describes the boundary within which motion can be sensed. what is the greatest distance, in feet, a person could be from the lamp and be detected? 5 ft 10 ft 50 ft 125 ft

Answers

5 feet is the greatest distance that a person could be from the lamp and be detected.

What is equation of circle?

A circle is defined as round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).

Since we have given that

The equation is :

[tex](x+15)^2+(y-12)^2=25[/tex]

It is the equation of circle in which center is (h,k) i.e. ( 15,12)

The general equation of circle is given by

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here, the radius 'r' is given by

[tex]r^2=25[/tex]

[tex]r=\sqrt{25[/tex]

[tex]r=5[/tex]

Here, the greatest distance a person could be from the lamp and be detected is represented by radius i.e. r = 5 feet.

Hence, 5 feet is the greatest distance that a person could be from the lamp and be detected.

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Hey, can someone help me out with this? I don't understand how to solve it.

Answers

Answer:

261.05

Step-by-step explanation:

A=½ bh

The base is 22.7

The height is 23

22.7×23=522.1

Since the shape is a triangle we divide it by 2!!

522.1÷2=261.05

The perimeter of the figure is 261.05. Hope you understand how to solve it now :))

6 diviided by 27 and 7 divided by 50

Answers

Answer:

the first one is 0.2222222222... the second is 0.14

6 : 27

Fraction : [tex]\frac{6}{27} = \frac{2}{9}[/tex]
Decimals : 0.(2) = 0.222222222222....
Percentage : 22.2222...%

7 : 50

Fraction : [tex]\frac{7}{50}[/tex]
Decimals : 0.14
Percentage : 14%

Jevator has a weight limit of
7. There are 3 people inside
An elevator has a weight limit of 1 ton there are 3 people inside the elevator Each person weighs 150
pounds. How many more
Pounds can the elevator safely hold?
450 pounds
850 pounds
1,550 pounds
1,850 pounds

Answers

Answer:

i think it would be 1550?

Step-by-step explanation:

im pretty sure you add teh weight of the three people and convert it to one ton

help pls with these two about surface area

Answers

Answer:

6) 152.6

7) 348.4

Step-by-step explanation:

For question number 6, calculate the surface area of the two triangles first. And then, calculate each of the surface area for the rectangles. Finally, total up the area of the two triangles and the rectangles.

[tex](6.6 \times 9) + (4 \times 9) + (5.2 \times 9) \times (\frac{1}{2} \times 5.2 \times 4) = 152.6[/tex]

For question number 7, given that the area of a triangle is 28.4. Hence calculate the area of the three rectangles. Lastly, total up the area of two triangles and three rectangles.

[tex]28.4 + 28.4 + 3(12 \times 8.1) = 348.4[/tex]

Hope this helps =)

The perimeter of a rectangle is $98,$ and the length of one of its diagonals is $41.$ Find the area of the rectangle.

Answers

Answer:

[tex]328units^2[/tex]

Step-by-step explanation:

First off,  I do want to say that you could word this more easily.

98 is the perimeter. length is 41. width is 8.

the area is length*width for rectangles.

98-41=57

57-41=16

16/2=8

8*41=328 units^2

given that ax60=b work out the value of 4b/a

Answers

Answer:

Given,

a x 60 = b

or

b = a x 60

Similarly, the value of a would be:

We need to find

Therefore, we have to put the either values of a and b in the specified equation:

Hence,

We have only put the value of one variable to evaluate or to make it variable free

or

Therefore, the value of 4b/a​ is 240.

please help!
complete the net worth statement by determining the total assets and total liabilities. what is the net worth?
A) $178,000
B) $180,338
C) $1,052,662
D) $1,233,000

Answers

Using it's concept, it is found that his net worth is given by:

C) $1,052,662

What is the net worth of an individual?

It is given by the sum of the individual assets subtracted by the sum of it's liabilities.

In this problem:

The sum of his assets is of $178,000 + $1,055,000 = $1,233,000.The sum of his liabilities is of $145,908 + $34,430 = $180,338.

Hence, his net worth is given by:

Net worth = $1,233,000 - $180,338 = $1,052,662.

Which means that option C is correct.

More can be learned about net worth at https://brainly.com/question/27218751

n= 4/5 (m+7)
help please (solve for m)

Answers

Answer: Its not possible.

Step-by-step explanation:There aer two vairables. Whats the value of N

Hey there!

n = 4/5(m + 7)

n = 4/5(1m + 7)

n = 4/5(1m) + 4/5(7)

n = 4/5m + 28/5

n = 4/5m + 5.6


Thus, your answer is probably:

n = 4/5m + 5.6 or n = 4/5m + 28/5



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

What’s the radius of center (-2,1) and contains the point (2,-1)

Answers

Radius of a Circle Given Center and Point

To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex](x_1,y_1)[/tex] is one point and [tex](x_2,y_2)[/tex] is another

Solving the Question

We're given:

Center: (-2,1)Point: (2,-1)

Plug these given points into the formula for distance:

[tex]d=\sqrt{(2-(-2))^2+(-1-1)^2}\\d=\sqrt{(2+2)^2+(-1-1)^2}\\d=\sqrt{(4)^2+(-2)^2}\\d=\sqrt{16+4}\\d=\sqrt{20}\\d\approx4.47[/tex]

Answer

Therefore, the radius of the circle is [tex]\sqrt{20}[/tex] units, or approximately 4.47 units.

567.3
What is the value of the digit 5 in this number?

Answers

Answer:

hundredth place

Step-by-step explanation:

because ummmm yeah

A sphere has a radius 4 cm. What is its volume, to the nearest cubic cm? Write your answer to the nearest 10th place and use 3.14 for π???? HELPPPPP ASAP PLEASE!!!!!!!!!!!!!!!AND THANKS

Answers

Answer:

267.95

Step-by-step explanation:

Sphere Volume = 4/3 π r³

= 4/3 × 3.14 × 4³

= 803.84/3

= 267.94666...

= 267.95

A. What is 0.47 expressed as a fraction in simplest form?

B. What is 0.-47 expressed as a fraction in simplest form?

C. What is 0.--47 expressed as a fraction in simplest form?

Please show your work for each part.

25 points! and Brainliest!

Answers

Answer:

See below ~

Step-by-step explanation:

Converting a decimal to a fraction :

Multiply by 100/100 and keep in the form without division

A. (0.47)

0.47 x 100/10047/100

B. (-0.47)

-0.47 x 100/100-47/100

C. (0.--47)

A minus sign multiplied by another minus sign makes a positive sign0.--47 ⇒ 0.4747/100

Answer:

Part (a) = 47/100, Part (b) = -47/100, Part (c) = 47/100

Step-by-step explanation:

Step 1:  Determine 0.47 as a fraction

0.47 can also be expressed as 47% which means that there is 47/100.  We can see that there is no way that we can simplify the fraction even more so that is our final answer.

Step 2:  Determine -0.47 as a fraction

0.47 can also be expressed as -47/100.  We can see that there is no way that we can simplify the fraction even more so that is our final answer.

Step 3:  Determine --0.47 as a fraction

Two negatives (-), means that they cancel out and cause a positive (+).  For example, -1 * -1 gives us 1.  Therefore it would just be like the first one which is 47/100.

Answer: Part (a) = 47/100, Part (b) = -47/100, Part (c) = 47/100

2-root3/root3. Rationalize the following equation

Answers

Answer:

-1/3

Step-by-step explanation:

Multiply by root 3 on the top and bottom. Root 3 times root 3 is 3. 2-3 is -1.

There are 8 teams to play against each other in a tournament. How many ways can 1st and 2nd place be awarded at the end of the tournament?

Answers

Answer:

28

Step-by-step explanation:

Correct option is C)

Matches played between 8 teams =7+6+5+4+3+2+1=21

The number of ways that can 1st and 2nd place be awarded at the end of tournament is 56.

What is permutation?

A permutation is an arrangement of objects in a definite order. The members of elements of sets are arranged here in a sequence where order matters.

According to the given question

we have  to find,

Number of ways  for 1st and 2nd place can be awarded

Number of ways for 1st place be awarded  = 8

Number of ways for 2nd place be awarded = 7

Therefore,

The total number of ways can 1st and 2nd place be awarded = (8)×(7)

=56.

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Which of the following is true for f(x) = –2sin(x) – 3? the range of the function is the set of real numbers negative 2 less-than-or-equal-to y less-than-or-equal-to 2. the graph of the function is the graph of f(x) = –2sin(x) shifted 3 units up. the amplitude of the function is 2. the period of the function is 4 pi.

Answers

The correct option C which is true for the given form of the sine curve f(x) = –2sin(x) – 3.

What is the range of the function?

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The general form of the sine curve is given as

f(x) = –2sin(x) – 3

A.

Since this curve's A is -2, its amplitude is 2 and its range is from -2 to 2. but since the D value is -3, it shifts vertically 3 units down making the range from -1 to -5. Choice A is not true.

B.

This graph is the graph of shifted 3 units down since D is negative. This choice isn't true.

C.

Because of the (minus) sign in front of the function, the function is reflected on the x-axis, but the amplitude doesn't change. Since A value is 2, the amplitude is 2. This is true.

D.

The period depends on the B value. Here, the B value is 1, so the period is normal as the parent function of a sine curve, which is, not. So this is not correct.

Therefore, C is the correct answer.

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Answer: C. The amplitude of the function is 2.

Step-by-step explanation:

If n'(x) = 2sin(2x) and n(0) = 0 what is the absolute maximum of n(x) on (0,2-}?

Answers

The absolute maximum of n(x) = 1 - 2 · cos 2x, whose first derivative is n(0) = 0, exists at x = 0.5π on (0, 2π]. The value of the absolute maximum is 3.

How to find the absolute maximum of a differentiable function

A function is differentiable in a given interval if and only if its derivative exists for every value of the interval. To determine the absolute maximum of n(x), we need to integrate the given function, apply first derivative and second derivative test and finally evaluate n(x).

First, we integrate n'(x) in terms of x:

n(x) = 2 ∫ sin 2x dx = 2 · (- 0.5 · cos 2x) + C = - cos 2x + C

- cos 0 + C = 0

C = 1

Then, n(x) = 1 - 2 · cos 2x.

Now we proceed to apply first and second derivative tests:

First derivative test

2 · sin 2x = 0

sin 2x = 0

2 · x = sin⁻¹ 0

2 · x = π ∨ 2π

x = 0.5π ∨ π

Second derivative test

n''(x) = 4 · cos 2x

n''(π) = 4 · cos 2π

n''(π) = 4

There is an absolute minimum for x = π. [tex]\blacksquare[/tex]

n''(0.5π) = 4 · cos π

n''(0.5π) = - 4

There is an absolute maximum for x = 0.5π. [tex]\blacksquare[/tex]

Finally, we evaluate n(x) for x = 0.5π to determine the absolute maximum:

n(0.5π) = 1 - 2 · cos π

n(0.5π) = 3

The absolute maximum of n(x) = 1 - 2 · cos 2x, whose first derivative is n(0) = 0, exists at x = 0.5π on (0, 2π]. The value of the absolute maximum is 3. [tex]\blacksquare[/tex]

Remark

The statement of the question is poorly formatted and reports several mistakes, correct form is introduced below:

If n'(x) = 2 · sin 2x and n(0) = 0. What is the absolute maximum of n(x) on (0, 2π]?

To learn more on derivative tests, we kindly invite to check this verified question: https://brainly.com/question/6097697

Which of the following is not true about the mean of a set of data?
A. The mean can be one of the data values.
B. The mean can be different from all of the data values.
C. The mean can be less than the minimum data value.
D. The mean can be the same value as the median.

Answers

Answer:B

Step-by-step explanation: it is the average of all the data and can be different from the collection

Answer:

C

Step-by-step explanation:

A. The mean can be one of the other data values but is usually not

B. The Mean can be different than the other values

C. The mean can not be bigger than the biggest number or less than the smallest number.

D. The mean can be the same value as the median.

hopefully you get the correct answer (:

4) Calculate the exact circumference of OP
5 cm
P
12 cm

Answers

12 + 5 = P + 360° - (90° x 2)

17 = 360°P - 180°

17 = 180° => P = 180° - 90° = 90° => P - 5 = P + (5 + 12) => P = 14 in <90 5 CM Angle, P = 14 - 1 = 13 without offset

13

Answer:

40.84

Step-by-step explanation:

5cm^2 +25cm^2=169

sqaure root of 169 =13

13= diameter

6.5= radius

2 pie r = circumference

6.5x2 pie = 40.84

Find X and y in the triangle.

Answers

Answer:

Step-by-step explanation:

[tex]\frac{\frac{1}{x}+ \frac{2}{x^{2} } }{x+\frac{8}{x^{2} } }[/tex]

Answers

Answer:

[tex] \frac{x + 2}{x {}^{3} + 8} [/tex]

Step-by-step explanation:

[tex] \frac{ \frac{1}{x} + \frac{2}{x {}^{2} } }{x + \frac{8}{x {}^{2} } } [/tex]

[tex] \frac{ \frac{x + 2}{x {}^{2} } }{ \frac{x {}^{3} + 8 }{x {}^{2} } } [/tex]

[tex] \frac{x + 2}{x {}^{3} + 8 } [/tex]

Please help me with my math homework

Answers

 

n this world, no one can survive alone. Team up with friends to fend off countless waves of zombies, fight bosses, earn coins, level up, and buy new towers! If you're feeling up for a challenge, try taking on harder bosses on harder difficulties!

b) The cheerleaders and the football team
sold 480 raffle tickets to raise money for
the cheerleader uniforms. The football
team members sold twice as many tickets
as the cheerleaders. How many tickets
were sold by the football team members?

Answers

Answer:

320

Step-by-step explanation:

cheerleaders =1

football team members=2

2+1=3

football team members= 480 ×2/3

=320

An angle measures 62.4° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

If an angle measures x degrees, the measure of its supplement is (180-x) degrees.

This means that x-62.4 = 180-x, meaning that x=121.2.

So, the angles are 121.2 and 58.8 degrees.

E 18 - 3x D F 150° B с 3.1.1 Show that: BE = AB cos 0 sin (a - 6) - 3.x2 3.1.2 Show that the area of A BCE = x 2 4​

Answers

Answer:

find the ratio of 15 min and 1hiyr

Can someone help me with this I have a few hours before I have to turn this in anything is appreciated

Answers

Answers

1. 78.5398163397 cm^2
2. 201.06192983 cm^2
3. 38.4845100065 ft^2
4. 176.714586764 m^2
5. 1963.49540849 in^2

Explanation:

The formula for the area of a semicircle is πr^2/2 where r is the radius.

Please mark brainliest

Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. he's trying to figure out how much gift wrap he needs to cover the entire box. should he calculate the total surface area or the lateral surface area? pick the right measurement and then calculate it for him.

Answers

Amount of gift wrap to cover the entire box = total surface area of rectangular box = 1,048 in.².

What is the Total Surface Area of a Rectangular Box?

The total surface area of a rectangular box is the area of all the faces of the box = 2(wl + hl + hw).

Therefore, to find the material that will cover the whole rectangular box, Demarcus should find its total surface area, given the following dimensions:

l = 20 in.w = 8 in.h = 13 in.

Plug in the values into TSA = 2(wl + hl + hw):

Total surface area of rectangular box = 2(8×20 + 13×20 + 13×8) = 1,048 in.²

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Scott has 2 six-sided dice. What is the probability that the sum of the roll is one? )The diameter of a cylinder is 7 yards. The heightis 12 yards. What is the volume, in terms of T andto the nearest cubic yard, of the cylinder? Please help me i will give brainliest find area of the shaded part 7.Marisela wants to create a trophy in the shape of a rectangularpyramid with volume 0.1875 cubic foot. Complete the descriptionsby writing in the missing measurements. 7.6.6Design #1: pyramid height = 1.5 ft; base width = 0.75 ft; I NEED HELP ASAP!!!!! Mary loved having her goldfish tank in her office. She said watching the fish swim around was calming to her on stressful days. Mary thought that if 2 goldfish in her tank could make her less stressed then certainly 8 goldfish would be even better. After three days of having 8 goldfish in her tank, she noticed 5 of the fish began to sink to the bottom of the tank becoming less active than the remaining 3. A few days later the 5 sick fish died and the 3 remaining fish thrived. Use the data to help you choose three reasons the carrying capacity of the fish tank wasnt able to accommodate all 8 goldfish.A.There was a limited supply of food available to sustain all 8 fish.B.There was an unlimited amount of space for the fish to swim.C.The amount of dissolved oxygen in the tank was not replenished quickly enough to sustain all 8 fish.D.The ammonia levels in the tank did not compromise the life of the fish. When data are categorized as, for example, places of residence (rural, suburban, urban), the most appropriate measure of central tendency is the 50 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1EXPERIMENT WATER PROPERTIESWhat observations were you able to make after 24 hours? 48 hours? What is the answer to the image? I am stuck on this. What was one of the main effects of the black death in Europe Which is not an example of cultural diffusion in the united states? (5 points) group of answer choices eating a hotdog at a barbeque going to a sushi restaurant attending a live opera event taking a latin dance class What are 5 applications of Geometry in real life? please help me do this question in the screenshot. I will give you stars for it! Given the function, f(x)= VX+2-3, choose the correct transformation.left 2, down 3O left 2, up 3O right 2, down 3O right 2, up 3 help me brainiest if right speech about high school is the best time of my life please help :) thank u Please help!!!John's water bill this month was $19.67. Looking at the water bill, it says he used exactly 10,000 gallons of water. How much does he pay per gallon of water used? We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conversions). Dont forget to show your work.