simplify and show work 5 1/3+(-3 9/18)

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].

Final answer:

The team traveled at 8 km per hour upstream and 20 km per hour downstream. Downstream speed is calculated by adding the speed of the boat in calm water to the speed of the current (s + c), and upstream speed by subtracting the current speed from the boat's speed (s - c).

Explanation:

The student is asking about the speeds a rowing team would travel when going upstream and downstream in a river. The system of equations they've solved has given a solution for the speed in calm water, represented by s, and the speed of the current, represented by c, as (14, 6). To find the speed of the team traveling upstream and downstream, we use these values in conjunction with the direction of the current.

When traveling downstream, the current adds to the speed of the boat in calm water, so you would add the speed of the boat and the speed of the current: s + c. This equates to 14 km/h (speed in calm water) + 6 km/h (speed of current) = 20 km/h downstream.

Conversely, when traveling upstream, the current subtracts from the speed of the boat in calm water, so you would subtract the speed of the current from the speed of the boat: s - c. This is 14 km/h (speed in calm water) - 6 km/h (speed of current) = 8 km/h upstream.

Therefore, the correct answer is: C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.

Answer: It's 330

Step-by-step explanation:

Answer:

The answer is 330.

_______________

To rename mixed numbers with the same denominator, we simplify the fractions where the numerator is larger than the denominator by dividing the numerator by the denominator and expressing the remainder as a fraction. The simplified mixed numbers for the examples are 4 6/9, 8 2/3, 3 7/8, 6 5/14.

To rename each mixed number as an equivalent mixed number with the same denominator, you first must understand that the denominator is the bottom number in a fraction. To make two fractions have the same denominator, you need to find the least common denominator (LCD). The LCD is the least common multiple of the two denominators.

Let's walk through on how this works for the provided numbers:

So, the mixed numbers with the same denominator are 4 6/9, 8 2/3, 3 7/8, 6 5/14.

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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.

Since 7/8 are quite likely, solution A is the right choice. But it's not certain. It has a 12.5% probability of happening.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, The probability that an event will occur is fraction 7 over 8.

Adjectives include likely and unlikely. When something is likely to occur or is likely to occur, it signifies that it is most likely to occur or that it is anticipated to occur. If something is improbable to occur or unlikely to happen, it suggests that it is most likely not going to.

Likely means there's a big chance that an event will happen. Certain means an event is going to happen, for sure. It will always happen.

In our case,7/8 is very likely. It isn't certain though. There is a 12.5 % chance that it can occur.

therefore, A is the correct answer because 7/8 is very likely. It isn't certain though. There is a 12.5 % chance that it can occur.

Learn more about probability here:

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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.

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.

Given is an isosceles trapezoid WXYZ such that WX and YZ are legs of trapezoid with base XY. Also given are the measurements of trapezoid as follows :-

Legs WX = 6x + 5 and YZ = 8x - 3

Base XY = 10x + 4

we know the fact :- "For an isosceles trapezoid, its legs are congruent".

If it is asking for value of the variable 'x', then we can set the expressions of its legs equal and solve for x.

Leg WX = Leg YZ

6x + 5 = 8x - 3

8x - 6x = 5 + 3

2x = 8

x = 4

so, x = 4 would be the answer.

If it is asking for value of base XY, then we could plug the value of x in the expression of XY and compute.

Base XY = 10x + 4

XY = 10(4) + 4

XY = 40 + 4

XY = 44

so, base XY = 44 would be the answer.

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

Answer:

subtraction then division on edge

Step-by-step explanation:

Answer: The answer is 340

Step-by-step explanation:

You have to first find the area of the swimming pool 60 then you subtract it by the backyard 400 so you would get 340.