Based on the information provided in the net worth statement, what is the net worth of this person?
A) $265,000.00
B) $307,000.00
C) $445,500.00
D) $752,500.00

Answer:

[tex]2^4[/tex].

Step-by-step explanation:

If we flip a coin then we have two possibilities, i.e., head or tail. So,

Number of outcomes for flipping a coin = 2

If n coins are tossed, then the total number of outcomes is defined by the expression [tex]2^n[/tex].

It is given that the number of coins is 4.

Number of outcomes = [tex]2^4=2\times 2\times 2\times 2=16[/tex]

Hence, he required expression is [tex]2^4[/tex].

Amount of money Julian can spend on trip= $1250

Amount spent on airfare = $358

Money left for trip = Total money - money spent on airfare= 1250 - 358= $892

So writing an inquality ,

[tex] x\leq 1250-358 [/tex]

where x is amount he can spend on trip.

Solving the inequality,

[tex] x\leq 892 [/tex]

So he can spend less than or equal to $892 on the trip.

Answer:

33

Step-by-step explanation:

As the opposite sides of a quadrilateral are parallel and equal in length so

(AB) = (CD) =13

And the diagonals of a quadrilateral bisect each other at their intersection point (O in this case), so length of side OC will be the half of diagonal AC.

(OC) =  (AC) /2

(OC)=20/2

(OC) =10

Similarly,  

(OD) =10

Now,

Perimeter of Triangle OCD = (OC) + (CD)  + (OD)

=10+13+ 10

=33

Final answer:

To find out how many teams will play in the first round, divide the total number of people by the number of people in each team. In this case, there will be 168 teams playing in the first round.

Explanation:

To find out how many teams will play in the first round, we need to divide the total number of people by the number of people in each team. In this case, we have 1,008 people divided into teams of 6.

To calculate the number of teams, we divide 1,008 by 6: 1,008 ÷ 6 = 168.

Therefore, there will be 168 teams playing in the first round.

Final answer:

After dividing the pizza into 3 equal parts twice, Lupita has the exact number of pieces needed for the party, which is 27.

Explanation:

The student's question is about dividing a rectangular pizza into equal parts. Lupita cut the pizza into 3 equal pieces, then each piece into 3 equal parts two more times. To determine if Lupita has enough pieces for 27 people, we can use multiplication to find how many total pieces she has created. The math goes as follows:

First division: 1 pizza is cut into 3 pieces.

Second division: Each of the 3 pieces is cut into 3 pieces, resulting in 3 x 3 = 9 pieces.

Third division: Each of the 9 pieces is cut into 3 pieces, resulting in 9 x 3 = 27 pieces.

After the final division, there are 27 pieces of pizza. Therefore, Lupita has enough pieces for the party as the required number of pieces is also 27.

Final answer:

The two numbers in question are found by setting up a system of linear equations. The larger number is 39.2, and the smaller number is 27.4, found through substitution and simplification of equations representing their relationship and their sum.

Explanation:

The question involves solving a system of linear equations. Given the smaller number is 2 less than 3/4 the larger number, and the sum of the two numbers is 47, we can set up the following equations where x represents the larger number and y represents the smaller number:

y = ¾ x - 2

x + y = 47

We can substitute equation (1) into equation (2) which gives us x + (¾ x - 2) = 47. Solving for x gives us the larger number, and then y can be determined using either equation (1) or (2).

Following these steps:

x + (¾ x - 2) = 47

1¾ x - 2 = 47

1¾ x = 49

x = 49 / (5/4)

x = 49 * (4/5)

x = 39.2 (larger number)

y = ¾ * 39.2 - 2

y = 29.4 - 2

y = 27.4 (smaller number)

Thus, the two numbers are 39.2 and 27.4.

Answer:

subtraction then division on edge

Step-by-step explanation:

Final answer:

The given ratios indicate there should be 17.5 cherries in the fruit salad, but the number must be a whole number. There appears to be an error in the problem statement, as the conditions cannot be met with the total number of fruits given.

Explanation:

Solving the Fruit Salad Problem

Let's define the number of cherries in the fruit salad as x. According to the problem, there are four times as many cherries as raspberries, so the raspberries would be 4x. Since there are twice as many raspberries as blueberries, the blueberries would be 2(4x) = 8x. Lastly, there are three times as many grapes as cherries, meaning there are 3x grapes. To find out how many cherries are in the fruit salad, we can set up the following equation representing the total pieces of fruit:

x + 4x + 8x + 3x = 280

Adding all terms on the left side of the equation gives:

16x = 280

Dividing both sides by 16 to find the value of x gives:

x = 280 / 16

x = 17.5

Since we cannot have half a cherry in the fruit salad, the correct number of cherries must be a whole number. Therefore, it seems there's a mistake in the original statement regarding the relationship between the number of cherries and other fruits. Without the correct ratios or total pieces of fruit, a precise answer cannot be determined.

We can see here that according to the agreement, each time Josh jumped the fence, his money would be tripled. Thus, Josh had to pay Sam $54 back for the privilege of jumping.

Josh jumped the fence for the first time. Sam Slick paid Josh the agreed-upon amount, which was triple the initial money Josh had. Then Josh paid Sam $54 back as per the agreement.

We see that Josh jumped the fence for the second time. Sam Slick paid Josh the agreed-upon amount, which was triple the money Josh had after paying Sam $54. After Josh received the payment, he had only $54 left, which was exactly the amount he needed to pay Sam.

Answer:

I'm answering super late but I want to help others who don't know the answer

Step-by-step explanation:

The answer is in the picture.

Your welcome :D

Answer:

(C)50°.

Step-by-step explanation:

It is given that ABCD is a parallelogram and m∠ADB=38° and m∠BDC=12°.

Now, [tex]m{\angle}ADC={\angle}ADB+{\angle}BDC[/tex]

[tex]m{\angle}ADC=38^{\circ}+12^{\circ}[/tex]

[tex]m{\angle}ADC=50^{\circ}[/tex]

Also, opposite angles of parallelogram are equal, therefore m∠ADC=m∠ABC=50°.

Hence, option C is correct.

The solution to the equation 62 = 5 + x is x = 57. This is found by subtracting 5 from both sides of the equation and checking the solution by substitution.

To solve the equation 62 = 5 + x, we will follow algebraic properties to isolate the variable x.

Therefore, the solution to the equation is x = 57, and after checking, it is reasonable.