solve for x. 2x+17+3x = 4+3x+3​

Answer:

The cost of labor per hour is $105.

The expression is 4x + 77 = 497

Step-by-step explanation:

The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.

4x + 77 = 497

4x + 77 - 77 = 497 -77

4x = 420

4x/4=420/4

x = 105

9514 1404 393

Answer:

  D  cos(N)

Step-by-step explanation:

In case you haven't remembered the fact that the sine of an angle is equal to the cosine of its complement (the other acute angle in a right triangle), you can always go back to the definitions.

  Sin = Opposite/Hypotenuse

  sin(L) = NM/NL

and

  Cos = Adjacent/Hypotenuse

  cos(N) = NM/NL = sin(L)

The equivalent of sin(L) is cos(N).

The points (2, 1), (1, 0), (2, 1), (4, 2), and (8, 3) will be plotted on the graph accordingly. The x-coordinate represents the value from the domain, and the y-coordinate represents the corresponding value obtained by evaluating the equation

To plot the points on the graph for the equation y = log2x, we will substitute the given values from the domain (2, 1, 2, 4, 8) into the equation and calculate the corresponding y-values.

For x = 2, y = log2(2) = 1. The point (2, 1) represents this on the graph.

For x = 1, y = log2(1) = 0. The point (1, 0) represents this on the graph.

For x = 2, y = log2(2) = 1. The point (2, 1) represents this on the graph.

For x = 4, y = log2(4) = 2. The point (4, 2) represents this on the graph.

For x = 8, y = log2(8) = 3. The point (8, 3) represents this on the graph.

Now, we can plot these points on the graph. The x-axis will range from 0 to 10, and the y-axis will range from -1 to 4 to accommodate the points we have calculated.

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Answer:

x = 7

Step-by-step explanation:

By a certain theorem, Congruent chords are equidistant from the center of a circle. We know these chords are congruent because the top half of the left chord and bottom half of the right chord are congruent.

We also know that a radius perpendicular to a chord will bisect it, meaning the length of each chord is 20, but that's irrelevant, really.

So, now that we know the chords are equidistant from the center, we also know that x will be equal to 7.

Have a nice day, fam.

Answer:

10 if the other the numbers go up as well

Step-by-step explanation:

20/2= 10

Which would mean Kora could make 10 s'mores

Answer:

Option B and F.

Step-by-step explanation:

Given that the terms x, x-3 and x+1, are the factors of the polynomial, therefore the roots are calculated by equating the factors to zero,

[tex]x = 0[/tex]

x - 3 = 0 ➡️ x = 3

x + 1 ➡️ x = -1

Plus, the polynomial has the zeroes -1, 0 and 3.

It means that the curve of the graph should intersect the x-axis at x = 0, x = 1, and x = 3.

Now select the graphs which pass through (-1, 0), (0, 0) and (3, 0).

It is observed that the graphs in options B and F follow this path.

So the correct choices are option B and F.

Answer:

The probability is 11/28 or 39%

Step-by-step explanation:

You add 5+6=11 and their are 28 total chips.

The equation of the line parallel to 2x + 4y = 1 and passing through the point (1, 1) is y = (-1/2)x + 3/2.

For finding the equation of a line parallel to the given line and passing through the point (1, 1), we need to determine the slope of the given line and use it to construct the equation.

The given line has the equation 2x + 4y = 1. To determine its slope, we can rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope. Rearranging the equation, we have:

4y = -2x + 1

y = (-2/4)x + (1/4)

y = (-1/2)x + 1/4

Comparing this equation to the slope-intercept form (y = mx + b), we can see that the slope of the given line is -1/2.

The line we're trying to find is parallel to this line, it will also have a slope of -1/2. We can now use the point-slope form of a line to construct the equation. The point-slope form is given by:

y - y₁ = m(x - x₁)where (x₁, y₁) represents the coordinates of the point through which the line passes, and m is the slope.

Substituting the values of (x₁, y₁) = (1, 1) and m = -1/2 into the point-slope form, we get:

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

Expanding and simplifying the equation:

y - 1 = (-1/2)x + 1/2

y = (-1/2)x + 1/2 + 1

y = (-1/2)x + 3/2

The equation of the line parallel to 2x + 4y = 1 and passing through the point (1, 1) is y = (-1/2)x + 3/2.

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Answer:

14

Step-by-step explanation:

The two given angles are opposite angles and opposite angles always have the same measure. Knowing this, we can construct the following equation:

7r+6=8r-8

Subtract both sides by 6

7r+6-6=8r-8-6

7r=8r-14

Subtract both sides by 8r

7r-8r=8r-14-8r

-r=-14

Divide both sides by -1

r=14

I hope this helps!

Answer:

6.75

Step-by-step explanation:

Add up all the numbers in the data set :

8 + 2 + 5 + 12 = 27

Divide 27 by the total numbers in the data set :

27 ÷ 4 = 6.75

Therefore, the mean if the data set is 6.75

Answer:

6 1/2 in^2

Step-by-step explanation:

(4(3 1/4)) / 2 = 6 1/2 in^2

Answer:

6 1/2 or 6.5 in2

Step-by-step explanation:

A= Bxh/2

4x 3.25/2= 6.5

A=6.5 of 6 1/2

Answer:

-2

Step-by-step explanation:

Plug y=0 into the equation and solve the resulting equation 0=3x+6 for x

Step-by-step explanation:

[tex]4x + 2 = 90 \\4x = 88 \\ x = 22[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

radius = 9.3 units

Diameter = 2 × radius

= 2 × 9.3

= 18.6 units

Answer:

(-5, -1)

Step-by-step explanation:

Moving towards the right makes a number more positive for x and moving down makes numbers more negative for y

Answer:

$ 56 .0000

Step-by-step explanation:

.......... ....... ....... ........ .....

Answer:

23 days

Step-by-step explanation:

We would first determine the volume of the tank. This gives information on the amount of water it can carry

WE divide the volume by the amount of water the town uses per day

Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³

n = 3.14

r == radius

radius = 1/2 x diameter

radius = 26/2 = 13 meters

volume = (4/3) x (3.14) x (13^3) = 9198.106667 m^3

How long the tank would last = 9198.106667 / 400 = 23 days

The equation -10x + 34 is the simplification for the given expression.

Here it is important to remember the rules for the  addition of integers numbers:

+  +   Add  Final result (+)  

-   -   Add  Final result (-)  

+  -   Subtract  Final result (the sign of the integer having a greater value )

-   +  Subtract  Final result (the sign of the integer having a greater value )

The rules for multiplication of numbers are:

     The result presents a positive sign (+) because the signs are same.

    The result presents a negative sign (-) because the signs are different.

First, you should apply the distributive property and the multiplication sign rules.

(x-4)(x-7) + (3-x)(2+x)

x²-7x-4x+28+6+3x-2x-x²

After that, you should simplify the previous result from addition or subtraction sign rules.

x²-11x+34+x-x²

-10x + 34

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Answer:

(-3,-5) so yeeeeeeeeeeeeeeeeeeeee

Answer

1/216000

Step-by-step explanation:

1/60 x 1/60 x 1/60

I hope this helps

The probability of guessing the combination correctly is extremely low, approximately 0.00046%.

Probability is represented as the likelihood of an occurrence being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

There are 60 possible numbers on the rotary dial of the padlock, from 0 to 59. To calculate the total number of possible combinations, we can use the multiplication principle of counting.

Since the combination has three numbers, each of which may be any of the dial's 60 possible digit numbers, the total number of possible combinations is:

60 x 60 x 60 = 216,000

As a result, the padlock has 216,000 probable combinations.

If you were to predict random numbers, your chances of getting the proper combination are as follows:

1 / 216,000

This is due to the fact that there is only one accurate combination among the total of 216,000 conceivable combinations.

The likelihood of successfully guessing the combination is extremely low, around 0.00046%, implying that a human cannot open the padlock by randomly guessing the combination.

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Given:

The two points are P (-1,0) and S (-1,7).

To find:

Whether the line PS is vertical, horizontal or neither.

Solution:

We have, two points P (-1,0) and S (-1,7).

Slope of the line PS is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{7-0}{-1-(-1)}[/tex]

[tex]m=\dfrac{7}{0}[/tex]

[tex]m=\infty[/tex]

We know that the slope of a vertical line is [tex]\infty[/tex].

Since the slope of the line PS is [tex]\infty[/tex], therefore PS is a vertical line.

Answer:

39 glasses

Step-by-step explanation:

use proportion:

g = # glasses punch

4/6 = g/26

cross-multiply

4g = 26(6)

4g = 156

g = 39

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

No, absolutely not. I don't think we'd have the same sample average number. The randomising of values is quite high, very high, for one to think that we'd end up having the same average. Walking out there, talking to random people who don't even know each other at all means they will definitely give different numbers. Again, when you look at it, there are 21 of us, 21 is also a high number as well.

I believe with all these factors involved and actively militating, 21 people can't have the same sample average. No!

Answer:

Step-by-step explanation:

AB = 2EB

AB=CD

Due to that

Cd = 2EB therefore

CD = 10