Which expression is equivalent to a18a6

Hey there! I'm happy to help!

Let's call the hamburgers h and the cheeseburgers c.

h+c=234

c=2h

Let's plug this value of c into the first equation to solve for h.

h+2h=234

3h=234

Divide both sides by 3.

h=78

Therefore, 78 hamburgers were sold on Thursday.

Have a wonderful day! :D

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

b, c, e

Step-by-step explanation:

Esoeranza's cat weighs 1.3 x (130% of x). You can select all the expressions that equal to 1.3x.

Answer:

B, c,e

Step-by-step explanation:

Hope this helps!

The value of (fog)(-5) is (3x+10(-5)

Here we have to find a composite function which is made up of to functions f(x) and g(x). A composite function can be simply understood as a function inside a function. Here, the range of the composite function will be the intersection of both the outer and the inner function.

While the domain of the composite function is those values of x in g(x) for which the value of x is defined in the composition.

Here we have to put the value of g(x) in f(x) at the place of x, which eventually means we have to find f(g(x)),

First let us find (fog),

(fog) = f(g(x))

(fog) = g(x)+1

(fog) = 3x+1

Now, we have to find (fog)(-5),

(fog)(-5) = (3x+10(-5)

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Answer:

need pictures of the graphs

Step-by-step explanation:

basically, you'll be looking for a graph that has shifted to the RIGHT 4 units and down 2 units

The inverse demand function of the given demand function is p = 50 - q/2.

A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.

The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.

Given demand function: q = 100 - 2p.

To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:

q = 100 - 2p,

or, 2p = 100 - q,

or, p = 100/2 - q/2,

or, p = 50 - q/2.

Thus, the inverse demand function of the given demand function is p = 50 - q/2.

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(A) The preimage is ABC.

(B) The image is A'B'C'.

(C) The coordinates of the output are:

A(0,9) reflects over the line of reflection to A'(0,-9).

B(-4,4) reflects over the line of reflection to B'(4,-4).

C(0,4) reflects over the line of reflection to C'(0,-4).

In geometry, a reflection is a type of transformation where a figure is flipped over a line, called the line of reflection. In this problem, ABC-A'B'C' is a reflection, which means that it is a transformation of a figure where each point of the original figure has a corresponding point in the reflected figure such that the line of reflection is the perpendicular bisector of the line segment joining each point to its corresponding point.

A) The preimage is the original figure, which is ABC.

B) The image is the reflected figure, which is A'B'C'.

C) The coordinates of the output are:

A(0,9) reflects over the line of reflection to A'(0,-9).

B(-4,4) reflects over the line of reflection to B'(4,-4).

C(0,4) reflects over the line of reflection to C'(0,-4).

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Answer: 12

Step-by-step explanation:

Given the function :

f(x),

x is defined as the number of questions answered correctly in a certain section.

Thus given that the function; f(12) = 18 means a test-taker receives 18 points for answering x questions in the section correctly

The number of correct questions will be :

Compare ;

f(x) = f(12)

Hence ; x = 12 = number of questions answered correctly in the section.

78,342,117

Step-by-step explanation:

Just add! And yeah have a good day ^-^

Answer:im assuming we add them

Step-by-step explanation:

78342117

Answer:

Step-by-step explanation:

James is thinking of 6 miles as the total distance and 1/4 mile as one part of that distance. To find out how many parts of 1/4 mile he would have to walk to cover 6 miles, he needs to divide 6 by 1/4.

To perform this division, we need to remember that dividing by a fraction is the same as multiplying by its reciprocal.

The reciprocal of 1/4 is 4, so to divide 6 by 1/4, we multiply 6 by 4:

6 * 4 = 24

So, the quotient of 6 and 1/4 is 24.

Answer:

Commutative property of addition

Step-by-step explanation:

Using simple interest, we can find the value of interest here to be $162 per month.

Calculating the amount of interest that will be owed on a sum of money at a certain rate and for a specific period of time is possible using simple interest. The principal amount in the case of simple interest does not change, in contrast to compound-interest, where the interest is added to the principal to calculate the principal for the new principal for the following year.

Given in the question,

Principle, P = $18000

Rate of interest, R = 0.45%

= 0.45/100

Time in years, T = 24 months

= 2 years.

I = P R T

= 18000 × 0.45/100 × 2

= $162

Therefore, interest here is $162 per month.

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Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

Answer:

x = -9

Step-by-step explanation:

Vertical line

Answer:

Team A = 4 players

Team B = 5 players

Team C = 1 players

Step-by-step explanation:

Each player will compete in nine matches, for a maximum total of nine points possible. Since Team C has an average score of 9, Team C can only have one player because it would be impossible for more than on player to score a nine.

The possible total scores for team B are:

\(B =3.6x\\x=1; B=3.6\\x=2; B=7.2\\x=3; B=10.8\\x=4; B=14.4\\x=5; B=18.0\\x=6; B=21.6\\x=7; B=25.2\\x=8; B=28.8\\x=9; B=32.4\)

Since the scoring possibilities are 0, 0.5 and 1, total team score must be a multiple of 0.5. Therefore, the only possible number of players for team B is 5 (for a total score of 18.0).

If there are 10 players in total, 5 are from team B and 1 is from team C, the remaining 4 players are part of team A.

Team A = 4 players

Team B = 5 players

Team C = 1 players

Answer:

4 1/2 hours

Step-by-step explanation:

Answer:

Shelly spent 4 and a half hours reading.

Step-by-step explanation:

(the picture)

Answer: thats a good question

Step-by-step explanation:

Answer: he will add 2/8 more so it can be full.

Step-by-step explanation: you divide 2/8 by 5/8 and you'll get 1/8.

please give me brainlest

9514 1404 393

Answer:

  x^2 -5x +14 = 10^(2x +4)

Step-by-step explanation:

The relationship is ...

  log(a) = b   ⇔   a = 10^b

__

Using this with a=x^2-5x+14 and b=2x+4, we have ...

  x^2 -5x +14 = 10^(2x +4)

_____

Additional comments

In plain text, the exponent needs parentheses, because superscript formatting is not available to tell what is and isn't part of the exponent.

The base of "log" is assumed to be 10 in high school algebra. In the larger world, "log" is often used in place of "ln" to mean the logarithm to base 'e'.

__

The one solution is approximately x = −1.32505947996.

Answer:

A

Step-by-step explanation:

Answer:a(n)=80•3n-1

Step-by-step explanation:

Answer:

The height is equal to 10.

Step-by-step explanation:

With an isosceles trapezoid, the two legs are the same, and then the two bases. There are 2 sides given that are the same: 25. So now we know that the two legs are 25, and the two bases are 16 and 30 (doesn't really matter which length goes with which base).

To find the volume of an isosceles trapezoid, you need to use the formula  \(\frac{30+16}{2}\) · \(h_{1}\) · \(h_{2}\).

So, to find \(h_{1}\), which is the trapezoid height, we need to use the Pythagorean Theorem. We know that the bottom base is 30, so when we draw altitudes from the top base to the bottom base, they are the heights of the trapezoid. The two triangles formed from the altitudes are congruent (I could prove it but just trust me that they are). The rectangle that formed has the top and bottom sides equalling 16. So now we know that the triangles that were formed have bases of 7 because of Part-Whole Postulate (PWP). Since the sides are given as 25, we can find the missing side, which happens to be the height of the triangle, using the Pythagorean Theorem.

The equation would be:  \(7^{2} +h^{2} =25^{2}\). If you do that math, you get \(49+h^{2} =625\) after simplifying. Now you bring the 49 to the other side and subtract, leaving you with \(h^{2} =576\). Now you have to square root both sides, and you should end up with h=24.  

Now that we know the height, we can substitute it:  \(\frac{30+16}{2}\) · \(h_{1}\) · \(h_{2}\) =5520 turns into

Answer:

your answer will be 42.857143%

Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

Answer:

2 letters.

Step-by-step explanation:

Consider the number of bills as x.

Since they recieve "5 more ads than bills" ads is x+5.

And since they recieved "three more bills than magazines," magazines is x-3.

And since they recieved the same number of magazines and letters, letters is also x-3.

bills=x

ads=x+5

magazines=x-3

letters=x-3.

19 pieces of mail = bills +ads + magazines + letters

plug in the information: 19 = x + (x+5) + (x-3) + (x-3)

group the x's and add the numbers: 19 = 4x -1

solve for x:  x=5

We are still not done since x is the number of bills, not letters.

Plug the value of x into "letters = bills-3."

so...

Letters = 5 - 3

Letters = 2.

The Jones family received 19 pieces of mail on November 3 includes 2 number of letters, 5 number of bills, 2 number of magazines, 10 number of ads .

Let's break down the information given in the problem:

The Jones family received a total of 19 pieces of mail.

They received more ads than bills (specifically, 5 more ads than bills).

They received the same number of letters as magazines.

They received 3 more bills than magazines.

Let's use variables to represent the quantities:

Let A represent the number of ads.

Let B represent the number of bills.

Let L represent the number of letters.

Let M represent the number of magazines.

From the information given, we can set up the following equations:

A + B + L + M = 19 (total pieces of mail)

A = B + 5 (more ads than bills)

L = M (same number of letters as magazines)

B = M + 3 (3 more bills than magazines)

Now, let's solve this system of equations step by step:

From equation (4), we know that B = M + 3. We can substitute this into equation (2):

A = B + 5

A = (M + 3) + 5

A = M + 8

Now we have expressions for A, B, and L in terms of M:

A = M + 8

B = M + 3

L = M

Substitute these expressions into the total mail equation (equation 1):

A + B + L + M = 19

(M + 8) + (M + 3) + M + M = 19

4M + 11 = 19

4M = 8

M = 2

Now that we know M (number of magazines), we can find the other quantities:

L = M = 2

B = M + 3 = 5

A = M + 8 = 10

So, the Jones family received:

2 letters

5 bills

2 magazines

10 ads

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After considering all the given data we conclude that the area of the given figure is 80, under the condition that the given figure is a rhombus.

Let us name the rhombus as ABCD, now looking at the figure we can detect that there are two diagonals crossing each other making a point  E, this allows the  two  diagonals to split in four smaller lines that are congruent in value
Then
Line AE = 5ft and Line ED = 5ft (because of congruency)
Line CE = 8ft and Line EB = 8ft(because of congruency)
Therefore,
Now we know that the diagonals
AD = 10ft
CB = 18 ft
The area of a rhombus can be evaluated applying the formula
Area = (d1 × d2) / 2,
Here,
d1 and d2 = lengths of the diagonals.
For this case, the diagonals are 10 ft and 16 ft.
Then, the area of the rhombus is
(10 × 16) / 2
= 80
Then, the area of the given figure is 80.
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The radius of the given circle is 2 units.

Here, we are given an equation of a circle as follows-

\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)

The general form of the equation of a circles is -

\((x- h)^{2}+ (y-k)^{2} = r^{2}\)

where (h, k) are the coordinates of the center of the circle and r is the radius of the circle.

Let us convert the given equation into the general form by completing the squares as follows -

\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)

\(x^{2}+ (2*4)x+ y^{2} - (2*3)y + 21 = 0\)

\(x^{2}+ (2*4)x+ 16 -16+ y^{2} - (2*3)y + 9 - 9+ 21 = 0\)

\([x^{2}+ (2*4)x+ 16] -16+ [y^{2} - (2*3)y + 9] - 9+ 21 = 0\)

\((x+4)^{2} -16+ (y - 3)^{2} - 9+ 21 = 0\)

\((x+4)^{2} + (y - 3)^{2} = 16 + 9 - 21\)

\((x+4)^{2} + (y - 3)^{2} = 4\)

\((x+4)^{2} + (y - 3)^{2} = 2^{2}\)

Thus, we have obtained the equation of the circle in the general form. From this, we can observe that the center coordinates will be (-4, 3) and the radius of the circle will be 2 units.

Therefore, the radius of the given circle is 2 units.

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the first distribution is symmetric and has a bell shape. And the second one is skewed to the right

Answer:

when you do order of operation it's when you analyze the the questions that it gives you by looking at the ones that could be possible and the ones that could be not possible

Answer:

a rule that tells the correct sequence of steps for evaluating a math expression

8 possible sequences in total. Thus, A tree with 8 outcomes, option 1 is correct.

A diagram with a structure of branching connecting lines, representing different processes and relationships.

Here is a tree diagram showing all the possible outcomes of Sandra tossing a coin three times:

In the diagram, each branch represents the outcome of one toss of the coin. The letters "H" and "T" represent "heads" and "tails," respectively. Each path from the top of the tree to a bottom node represents a possible sequence of coin tosses, and there are 2³ = 8 possible sequences in total.

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Complete question:

Sandra tossed a coin 3 times. Which tree diagram shows al the possible outcomes of the coin landing heads up or tails up.

A tree with 8 outcomes

A tree with 12 outcomes

A tree with 9 outcomes

A tree with 6 outcomes

Answer:x= 2,-2

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

Let set the equation up: \(2^{x}\)+4=8 First we need to isoolate x so let subtract 4 from both sides.  

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.