Solve for x: 6x + 5 = 4x + 51

Answers

Answer 1

Answer:

x=23

Step-by-step explanation:

6x + 5 = 4x + 51

Take away 4x from both sides

2x + 5 = 51

Take away 5 from both sides

2x = 46

Divide both sides by 2

x=23

Answer 2

Answer: x=23

explanation: First thing you need to do is rearrange the equation so that like-terms are together. To avoid negative numbers, subtract 5 from both sides of the equation (subtraction property of equality), and subtract 4x from both sides (subtraction property of equality). You're equation would then be 2x=46. Divide both sides (division property of equality) by 2 to isolate your variable of x. You'll be left with a final answer of x=23.


Related Questions

Suppose that F(x) = xo and G(X) = -2X3. Which statement best compares the
graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) flipped over the x-axis and
compressed vertically.
B. The graph of G(x) is the graph of F(x) flipped over the y-axis and
stretched vertically.
C. The graph of G(x) is the graph of F(x) flipped over the x-axis and
stretched vertically.
D. The graph of G(x) is the graph of F(x) flipped over the yaxis and
compressed vertically.

Answers

Answer:

C. The graph of G(x) is the graph of F(x) flipped over the x-axis and

stretched vertically

Step-by-step explanation:

Given:

F(x) = x³G(x) = -2x³

If we multiply F(x) by -1, we flip it over the x-axis. We get -F(x).

If we multiply -F(x) by 2, we stretch it vertically.

Simplify the following expression.
(9x+ 2) + 5x

Answers

Answer:

14x+2

Step-by-step explanation:

9x+5x+2

14x+2

Identify a 1 in this sequence 13,15,17,19

Answers

Answer:

13

Step-by-step explanation:

a₁ represents the first term in the sequence. Here the first term is 13, thus

a₁ = 13

i need to fill in the blanks for these

Answers

Answer:

the median for A is 26 and the mean for B is 24

Step-by-step explanation:

since 24 and 28 are both in the middle we need to find the mean of 24 and 28 to find A's median.

18+19+21+25+29+32=144

144 divided by the # of terms 6 gives our mean 24 for B.

Calculate the slope between the points (5,2) and (1,-6).

Answers

Answer:

2

Step-by-step explanation:

The slope formula is change in y over change in x, in this case it's  [tex](2-(-6))/(5-1) = 8/4 = 2[/tex]

Answer:

go to ur right 5 up 2 the put a dot then for the other one go to ur right one time then down 6

Step-by-step explanation:

Can someone help me please?

Answers

Answer:
X=40

Equation:
24+18+8=50
There’s a right angle so subtract 90 from 50

What are angles 3 and 4 called in the diagram below ?

A. vertical angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding Angles

Please help me with this

Answers

Alternate interior angles.

Answer:

Alternate Interior Angles

What is the midpoint of a line segment with endpoints at (6, -4) and (15,8)?

Answers

Answer:

Look at the attachment

17n=0.5n what is the value of n

Answers

Answer:

N=0

Step-by-step explanation:

If we wanted to answer the question mathematically, we could solve like so:

17n=0.5n

17n-0.5n=0.5n-0.5n

16.5n=0

n=0

If the circumference of a circle is below 72 what is the length of AB

Answers

Answer: 12

Step-by-step explanation:

The circle is 360 degrees in total

360/6 = 60

72/6 = 12

Given that the radius of Mars is approximately 3.4 * 10 kilometres (3400 km). Find its
volume to three decimal places.

Answers

Answer:

Volume V = 164,636,210,208.924 km^3

Step-by-step explanation:

Volume of a sphere is;

V = (4/3)πr^3

radius r = 3400 km

Volume of mars V = (4/3)π×3400^3

V = 164,636,210,208.924 km^3

Which of the following is a Pythagorean triple?

A. (5, 12, 13)
B. (1, 1, 2)
C. (3, 4, 6)
D. (5, 8, 10)

Answers

Answer:

A

Step-by-step explanation:

Perhaps you know of the {3, 4 ,5} Pythagorean triple.

Pythagoras stated a² + b² = c²

so checking for A:

a² + b² = c²

5² + 12²

25 + 144 = 169 which is 13²

Only answer A. (5, 12, 13) is a Pythagorean triple.

The others are not.

The correct answer for Pythagorean triple are (5,12,13). The correct option is A.

A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagorean theorem can be written as:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Check each option:

A. (5, 12, 13)

=[tex]5^{2} +12^{2} \\[/tex]

= [tex]25 + 144[/tex]

= 169

[tex]= 13^{2} \\= 169[/tex]

Since both sides are equal (169 = 169), this is a Pythagorean triple.

B. (1, 1, 2)

[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]

[tex]= 2^{2} \\= 4[/tex]

The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.

C. (3, 4, 6)

[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]

[tex]=6^{2}[/tex]

[tex]= 36[/tex]

The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.

D. (5, 8, 10)

[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]

[tex]= 10^{2} \\= 100[/tex]

The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.

The correct answer is (5,12,13). The correct option is A.

Learn more about Pythagorean triple here:

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A line perpendicular to y= 1/4x + 3 passes through the point (0, 6). Which other point lies on the line? Options: A. (4, -2) B. (3, -6) C. (0, -6) D. (-2, 2)

Answers

Answer:

B. (3, -6)

Step-by-step explanation:

Given line

y= 1/4x + 3

given line is in form of y = mx + c

where m is slope of line and c is y intercept

thus, in line  y= 1/4x + 3  m is 1/4 is slope

we know product of slope of two perpendicular line is -1

m1 * m2 = -1

let the line perpendicular to  y= 1/4x + 3 be

y = mx + c

thus

m * 1/4 = -1

m = -4

Thus, in y = mx + c , m is -4

updated equation until now by putting value of m as -4

y = -4x + c

this, line passes through point (0,6)

putting x as 0 and y as 6 in y = -4x + c

we have

6 = -4*0 + c

=> c = 6

Thus, equation of perpendicular line is

y = -4x + 6

_______________________________________________

we have to find which point from the option lies on y = -4x + 6

lets plug in value of x   from given points and see if value of y calculated  is as given in option . if the value is different then point does not lie on perpendicular line

(4, -2)

y = -4*4 + 6

y = -16 + 6 = -10

-10 is not equal to -2 as given in option, thus point (4,-2 ) does not lie on

y = -4x + 6

(3,-6)

y = -4*3 + 6

y = -12 + 6 = -6

-6 is  equal to -6 as given in option, thus point (3,-6 ) does  lie on

 y = -4x + 6

(0, -6)

y = -4*0 + 6

y = 0 + 6 = 6

6 is not equal to -6 as given in option, thus point (0,-6 ) does not lie on

y = -4x + 6

(-2,2)

y = -4*-2 + 6

y = 8 + 6 = 14

14 is not equal to 2 as given in option, thus point (-2,2 ) does not lie on

y = -4x + 6

Thus, option  B. (3, -6) is the correct choice.

Can someone help please??

Answers

Answer:

BC= 5.87 (nearest hundredth)

Step-by-step explanation:

Please see attached picture for full solution.

How is completing the square for an expression different than completing the square to solve an equation?

Answers

Answer:

Completing includes a change for the extra term has to be subtracted

Where completing the square to an equation will always result in finding what equals zero.

I will give the brainliest answer

Answers

Answer:

The answer is B.

Step-by-step explanation:

The shape form a Rectangular Pyramid.

Answer:

B, a Pyramid

Step-by-step explanation:

The net has a square base with 4 triangular faces. D, which is also a triangular prism, is not right as it has a triangular base, with every side being a triangle.

So B is the right answer.

Can someone please tell me what the slope of the line in this graph is!!!!!!

Answers

Answer:

-1/3 I think

Step-by-step explanation:

I find the slope by finding 2 points where the line hits. I then just count up and across. Could be wrong :/

Hope this helps though :)

Answer:

slope = y2-y1

x2- x1

= 4-2 = 2

6-0. 6

= 1/3

Determine which of the following relations is a function.

A.
X Y
-10 10
-5 5
0 0
5 -5
10 -10

B.
X Y
-3 2
-1 1
0 2
0 1
3 4

C.
X Y
-8 -4
-2 -2
1 3
2 4
4 6

D.
X Y
0 2
1 4
2 2
2 6
5 7

Answers

Answer:

A. X Y

-10 10

-5 5

0 0

5 -5

10 -10

Step-by-step explanation:

Because it is a relationship involving more than one variable where each input is related to one output. If graphed the line segment would only touch one point at a single time.

Answer: It’s A and C

Step-by-step explanation:

evaluate (m/n)(x) for x=-3

Answers

Answer:

(-3m)/n

Step-by-step explanation:

(m/n)(x)

For x = -3,

(m/n)(-3) =

-3(m/n) =

(-3m)/n

Our answer is fully simplified

Answer:

your answer is 1

Step-by-step explanation:

answer on edgen uity

Determine the quotient of (7.7x10^-2) divided by (2.2x10^-2

Answers

Answer:

3.5 is your answer.

Step-by-step explanation:

(7.7x10^-2) divided by (2.2x10^-2

Just *Divide*

Hope this helps.

: )

The solution of the equation 10 - (x +2) = 7x is -
5
-2
0
1

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

We have the equation

[tex]10-(x+2)=7x[/tex]

The first thing we need to do is distribute the negative throughout the parenthesis

[tex]10-x-2=7x[/tex]

Now, we can combine like terms

[tex]8-x=7x[/tex]

Now we can add x to each side

[tex]8x=8[/tex]

And lastly, we can divide each side by 8

[tex]x=1[/tex]

Our last step is to check our answer

[tex]10-(1+2)=7(1)\\\\10-(3)=7\\\\7=7[/tex]

Answer:

1

Step-by-step explanation:

1) 10-x-2=7x

2) -x + 8 = 7x

3) 8x=8

4) x=1

The sum of two consecutive numbers is 131. What are the two numbers? A. 64 and 65 B. 64 and 67 C. 65 and 66 D. 130 and 131

Answers

Subtract 1:

131-1 =130

Divide by 2:

130/2 = 65

First number is 65

For the second number take the first number and add the 1 that you originally subtracted:

Second number : 65 + 1 = 66

The numbers are 65 + 66 = 131

* ANSWER ASAP *
This is difficult for me, and i don't get it??

Answers

Answer:

28

Step-by-step explanation:

DI is a radius, which is half of a diameter. CJ is a diameter, so you just double toe radius which is 14, to get 28.

Answer:

28

Step-by-step explanation:

Since DI is 14, then DJ would be the same length, and so would DC. So we add DJ plus DC, which is 14+14. 28 is our answer.

The ratios 3:9, 4:12, 5:15, and 6:18 are a pattern of equivalent ratios in the table below. A multiplication table. In the row labeled 1, the numbers 3, 4, 5, and 6 are highlighted. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Which is another ratio in this pattern?

Answers

Answer:

7 and 21

Step-by-step explanation:

the ratios are following a 1:3 pattern. basically, whichever number is in the first row, the second row will have it times 3. So, if you chose the number 7, 7x3=21, so 7 & 21 are other ratios in the pattern

To change a decimal to a fraction we route write the digit to the left or to the right of the decimal point over the appropriate power of 10

Answers

Answer:

The digit goes to the right of the decimal point

Step-by-step explanation:

If you had [tex]\frac{1}{10}[/tex], you would convert that to 0.1, which is equivalent to the fraction form. The one goes on the right of the decimal point.

Find the surface area.

Answers

Answer:

A≈896.81

Step-by-step explanation:

This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.

P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!

896.81 is the answer

What is the volume of a triangular prism that is 6 inches high with a base area of 12 square inches? *Remember: Volume is the area of the base multiplied by the height.

A. 72 in3

B. 60 in3

C. 18 in3

D. 62 in3

Answers

Answer:

A. 72

Step-by-step explanation:

Since the volume of a figure is the area of the base multiplied by the height, the volume of this one is 12*6=72 cubic inches, or answer choice A. Hope this helps!

Answer:

A would be the right answer :)

Step-by-step explanation:

The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A. A graph shows the average daily temperature on the x-axis, and number of years on the y-axis, from 1 to 4. The average temperature was 18 for 2 years; 19 for 3 years; 20 for 2 years; 21 for 3 years; 22 for 2 years; 23 for 4 years; 24 for 3 years; 25 for 3 years; 26 for 5 years; 27 for 2 years; 28 for 1 year; 29 for 2 years; 30 for 2 years; 31 for 1 year. The mean of the temperatures in the chart is 24° with a standard deviation of 4°. Which temperature is within one standard deviation of the mean? 18° 19° 22° 30°

Answers

The temperature which is within one standard deviation of the mean is 22 degree Celsius of the graph of average daily temperatures.

What is the mean and standard deviation of data?

The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The graph below in the attached image shows the average daily temperatures on January 1 from 1900 to 1934 for city A.

A graph shows the average daily temperature on the x-axis, and number of years on the y-axis, from 1 to 4.

Interval within 1 standard deviation of the mean when the mean is μ and standard deviation σ can be given as,

[tex][\mu-\sigma, \mu+\sigma][/tex]

The mean of the temperatures in the chart is 24°, with a standard deviation of 4°. Put these values,

[tex][\mu-\sigma, \mu+\sigma]\\\ [24-4, 24+4]\\\ [20, 28][/tex]

The temperatures in the options given will be correct, which lies in the above range.

Thus, the temperature which is within one standard deviation of the mean is 22 degree Celsius of the graph of average daily temperatures.

Learn more about the mean here;

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Answer:

C

Step-by-step explanation:

Took the quiz got a 100%

How do you solve this

Answers

Answer:

3.76 × 10^4

Step-by-step explanation:

1. Work out what they are.

1.26 × 10^4 = 12600   (check your calculator to see if I'm right)

To get this, I multiplied 1.26 by 10,000. This is because 10^4 is 10000 (it has 4 zeros). Or you could move the decimal point forward 4 spaces.

2.50 × 10^4 = 25,000

By doing the same thing above.

2. Add them together

12,600 + 25,000 = 37,600

3. Change the answer into its scientific notation

To do this we need to divide 37,600 by a number to make it less than 10, but still keeping the digits. This always ends in zeros by the way (e.g. 100, 1,000, 100,000).

37600 ÷ 10,000 = 3.76

Next:

Scientific notations always have times 10 to the power of something (× 10^x). So we put that in:

3.76 × 10^x   what is x?

x is the number of of times you multiply by 10 to get back to 36700. This is 4 times.

(This is the same as multiplying by 10,000 as it has 4 zeros. This is also the same as moving the decimal point 4 spaces)

So your final answer is: 3.76 × 10^4

please answer neat will mark brain.

Answers

Answer:

9.110° and y are the same(alternate angles)

thus y=110°. 110+x=180(seplementary angles). thus x=180-110=70°

z(alternate)=70°

10.y=78°. x=(180-78)=102°. z=102°

11.x=83°. y=(180-83)=97°. z=97°

12.y=37°. x=(180-37)=143. z=143°

to confirm the answers all angles in a circle at the centre add up to 360°

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