Could you guys please solve these equations?

12x-17 = 6x+7 solve for x
-8b+1 = -5(b + 4) solve for b
350+10(n-7) = 630+2(n-15) solve for n

thank you​

Answer:

a) Equation B is correct

b) u = 5.2 m

Step-by-step explanation:

              \(\sf Sin \ \theta = \dfrac{opposite \ side \ \angle64^\circ}{hypotenuse}\\\\\\Sin \ 64^\circ = \dfrac{u}{5.8}\\\\\\0.8987 = \dfrac{u}{5.8}\)

    0.8987 * 5.8 = u

                    u   = 5.2 m

Answer:

$28,080

Step-by-step explanation:

15*10=150/wk

150*52wks=7,800

13*30=390/wk

390*52wks=20,280

20,280+7,800=28,080

Answer:600m

Step-by-step explanation:

100m+100m+200m+200m=600m

Answer:

132

Step-by-step explanation:

Answer:

16/5 or 3 1/5 i think

Step-by-step explanation:

Answer:

x = 16/5.

As a decimal this would be x = 3.2.

Step-by-step explanation:

On the right, distribute the -1/4 to the (x - 8). Do this by multiplying -1/4 to each term in the parenthesis. Then, solve for x by combining like terms.

Answer:

3.9

Step-by-step explanation:

2p-9.9

=2(3)-9.9

=6-9.9

=-3.9

Answer:

f(10) =13

Step-by-step explanation:

f(x) =x/2+8,

Let x = 10

f(10) =10/2+8,

      = 5+8

       = 13

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Answer:

Suppose A and B , both has initial volume, say x

120 ML is poured from B to A, then new volumes of A and B will be:

new volume of A (x-120)

new volume of B  (x+120)

Volume of B is now four times volume of A, then

(x+120)= 4(x-120)

(x+120)=4x-180

3x=600

x=200

So, the initial volume of A and B containers is 200

So, at the end, volume of container A = 200-120=80

Hence the answer is 80   :

Step-by-step explanation:

Answer:

Figure 2 and 3 are correct

Step-by-step explanation:

This question is incomplete, the figures are attached.

Number of cans of beans bought by Emery = 3

Total weight of cans = 2.4 pounds

Therefore the weight of each can = 2.4/4 = 0.8 pounds

The can be represented by the equation:

y = 0.8x,   where x is the number of cans and y represents the total weight

From the graph of figure 1, weight of each can =  20/16 = 1.25 pounds. This is not correct

From the graph of figure 2, weight of each can =  8/10 = 0.8 pounds. This is correct

From the table of figure 3, weight of each can =  4/5 = 0.8 pounds. This is  correct

From the table of figure 4, weight of each can =  5/4 = 1.25 pounds. This is not correct

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

The radius of convergence of the series is 4 and the interval of convergence is (-2, 6).

To find the radius of convergence, we can use the ratio test. According to the ratio test, if we take the limit as k approaches infinity of the absolute value of the ratio of the (k+1)th term to the kth term, and this limit is less than 1, then the series converges.

Let's apply the ratio test to the given series:

lim(k→∞) |((x-2)^(k+1))/(k+1)*(4^(k+1))| / |((x-2)^k)/(k*4^k)|

Simplifying this expression, we get:

lim(k→∞) |(x-2)/(k+1)| * |4/4|

Taking the absolute value and simplifying further, we have:

lim(k→∞) |x-2|/|k+1|

To ensure that this limit is less than 1, we need |x-2| < |k+1|.

Since |k+1| increases as k increases, we need |x-2| < |k+1| to hold true for all values of k.

Therefore, the radius of convergence is determined by the inequality |x-2| < |k+1|, which means the series converges for values of x that are within a distance of 4 units from the center x = 2. Thus, the radius of convergence is 4.

The interval of convergence can be found by considering the values of x that satisfy the inequality |x-2| < 4. Solving this inequality, we have -2 < x-2 < 2, which gives -2 < x < 4. Therefore, the interval of convergence is (-2, 4).

In summary, the series has a radius of convergence of 4 and an interval of convergence of (-2, 4).

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The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

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Sam's rationale for the third step based on logarithm properties would be logb(b^x+y), power rule of exponents. Thus, the correct answer is C.

The first step of Sam's proof is to show that logb(MN) is equal to logb(b^x.b^y), which is a substitution of MN for b^x.b^y. This is based on the product property of logarithms, which states that logb(MN) = logb(M) + logb(N) for any positive numbers M and N and any base b, as long as b doesn't equal 1.

The third step of her proof is to simplify logb(b^x.b^y) further by applying the power rule of exponents, which states that:

So, by substituting b^(x+y) for b^x.b^y, we get:

So, in short, the justification of the third step is based on the power rule of exponents, and it shows that logb(b^x.b^y) can be simplified further to logb(b^x+y).

The answer choice A, logb(b^xy), power rule of exponents, is incorrect because it implies that the third step is to multiply x and y instead of adding them.

This question should be provided with answer choices, which are:

The correct answer is C.

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Answer: its c

Step-by-step explanation:

cop a hoodie at moneymotivated.us thanks

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

Answer:

This is complematry and x=7

Step-by-step explanation:its complematry because they both add up to make 90 degree angle right angle

8+5=13

90-13=77

3x+8x=11x

77 divided by 11x =7x

make sure to like and mark me the brainlest

We can use the radical rules to simplify the product 3(4x2). To start, we simplify 4 to its square root, which equals 2. Next, we employ the power property of radicals, which asserts that (a,m) = (a(m/2)), to simplify the cube root (x2) by using it. In this instance, (x2) = x.

We now get 3 * 2 * x, which simplifies to 6x when the simpler terms are combined.The result is that the product 3(4x2) has the simplest form (6x).We can dissect the constituent parts and use the radical-simulation principles to simplify the product 3(4x2).In the beginning, we may reduce the square root of 4 to 2: 3(2x2).Then, since it contains a square (2) and a cube root (), we can reduce them as follows:

3 * 2 * x^(²/³)Taking the square root before the cube root is shown by the exponent 2/3. We may calculate the exponent by reducing it to: 3 * 2 * x(2/3)The terms are then combined when we multiply the coefficients: 6 * x(2/3)As a result, 6x(2/3) is the product of 3(4x2) in its simplest form.

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The carnival vendor used 1.5 pounds of the regular popcorn that cost $0.75 per pound.

Let's assume that the carnival vendor used x pounds of the regular popcorn that cost $0.75 per pound.

The cost of x pounds of regular popcorn is 0.75x dollars.

Since the total mixture is 5 pounds and the cost of the mixture is $1.10 per pound, the cost of the entire mixture

= 5 x $1.10

= $5.50.

Now, the vendor also used (5 - x) pounds of mesquite flavored popcorn that cost $1.25 per pound.

The cost of (5 - x) pounds of mesquite flavored popcorn is (5 - x) $1.25.

Now we can set up the equation to find the value of x:

0.75x + (5 - x)1.25 = 5.50

0.75x + 6.25 - 1.25x = 5.50

-0.50x + 6.25 = 5.50

-0.50x = 5.50 - 6.25

-0.50x = -0.75

x = -0.75 / -0.50

x = 1.5

Therefore, the carnival vendor used 1.5 pounds of the regular popcorn that cost $0.75 per pound.

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We need to solve both for y.

#9:

\(y - 4 = 3(x - 1)\\\\y - 4 = 3x - 3\\\\y = 3x + 1\)

#10:

\(y - 1 = -4[x - (-3)]\\\\y - 1 = -4(x + 3)\\\\y - 1 = -4x - 12\\\\y = -4x - 11\)

The 140 towns are named pleasant hill are there in the united states.

What is towns?

Towns and semi-dense areas having a population of at least 5,000 people and grid cells with at least 300 people per km2 density; and. Most rural areas are made up of low-density grid cells.

As given, Midway is the name of 252 towns in the united states pleasant hill occurs 5/9 times.

So,

\(252(\frac{5}{9} ) = 28(5) = 140\)

Therefore, 140 towns are named pleasant hill are there in the united states.

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Answer:

- 75

Step-by-step explanation:

- 5(15) means - 5 × 15 = - 75

The conditional distribution of X given that the first two tosses both land Heads is:

P(X = 0 | HH) = 1

P(X = 1 | HH) = 2

P(X = 2 | HH) = 0

Given that the first two tosses both land Heads, the sample space is reduced to {HH, HT}. Therefore, X can take values 0, 1, or 2, with respective probabilities P(X = 0 | HH) = P(X = 0, HH) / P(HH), P(X = 1 | HH) = P(X = 1, HH) / P(HH), and P(X = 2 | HH) = P(X = 2, HH) / P(HH).

We have:

Probability of getting two heads in a row = P(HH) = 1/2 × 1/2 = 1/4

Probability of getting one head and one tail = P(HT) = 1/2 × 1/2 = 1/4

Now, if the first two tosses are both Heads, then we can only get the following: HH. Thus, the distribution of X is:

X = 0:

- Only one way, P(X = 0, HH) = 1/4

- Hence P(X = 0 | HH) = (1/4) / (1/4) = 1

X = 1:

- Only one way, P(X = 1, HH) = 2/4 = 1/2

- Hence P(X = 1 | HH) = (1/2) / (1/4) = 2

X = 2:

- No way, P(X = 2, HH) = 0

- Hence P(X = 2 | HH) = 0

Thus, the conditional distribution of X given that the first two tosses both land Heads is:

P(X = 0 | HH) = 1

P(X = 1 | HH) = 2

P(X = 2 | HH) = 0

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c ccccccccccccccccccccccccccccc

Answer:

Step-by-step explanation:

Before giving the exterior angles, find the third angle. A triangle (all triangles) measure 180 degrees.

35 + 80 + x = 180

115 + x = 180

x = 180 - 115

x = 65

Exterior angles are supplements of the interior angles.

So the exterior angle to 65 degrees is 180 - 65 = 115

And the exterior angle to 35 degrees is 180-35 = 145

The exterior angle to 80 degrees is 180 - 100 = 80

The value of x corresponds to option B: 10.5 as the figure provided has two congruent figures inside it.

From the given image, we can consider that that the two triangles- one for which side x is given, and another for which measurements of both sides are given- are congruent. This is because they both have one common side and one angle equal to another at a vertex (refer image).

Thus, we have:

(x / 19.3) = (3.9 / 7.2)

Then, attempting to find the value of x we have:

x = (3.9 / 7.2) × (19.3)

= 10.5

Therefore, option B gives the measure of the side x of the given triangle, where x = 10.5.

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Answer:

1

Step-by-step explanation:

We have the equation \(\frac{4}{u^{2} }\) for u = 2.

Which would be \(\frac{4}{2^{2} }=\frac{4}{4}=1\)

Dilating the triangle ABC would create another triangle whose size is different from the triangle ABC

From the complete question, we have the following coordinates:

The dilation rule across the center P is:

(x, y) --> (1/3x – 1, 1/3y + 4)

So, the coordinates of the image of the triangle are:

A' =  (-1/3 * 4 – 1, 1/3 * 5 + 4)

A' =  (-7/3, 17/3)

B' =  (1/3 * 7 – 1, -1/3 * 7 + 4)

B' =  (4/3, 5/3)

C' =  (-1/3 * 2 – 1, 1/3 * 2 + 4)

C' =  (-5/3, 14/3)

From the above computation, the coordinates of the new triangle is:

A' =  (-7/3, 17/3)

B' =  (4/3, 5/3)

C' =  (-5/3, 14/3)

See attachment for the image of triangle ABC

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Answer:

17

Step-by-step explanation:

I used a caculator...

Give Brillianst Please!!!

When drawing cabinets obliquely, we start with the front face of an object and draw the depths or sides at 45 degrees.

The object is depicted as having a cabinet oblique with half height and full depth. In a cabinet oblique drawing, the object's height is depicted at half scale while its depth is represented at full scale.

In doing so, a foreshortening effect is produced, giving the object a deeper than tall appearance. The drawing is normally displayed at a 45-degree angle, with the breadth of the object drawn to full scale.

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