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kenny6666 [7]
2 years ago
4

Two of the desserts are sugar/free. Three of the drinks are sugar-free. A meal deal combination is selected at random. Work out

the probability that both the desserts and the drink are sugar free. Give your answer as a fraction
Mathematics
1 answer:
Ede4ka [16]2 years ago
5 0

Answer:

1/4

Step-by-step explanation:

So the first answer to this question (a) is 120 as you do 5x4x6, so for the next question you need to do the same method, but only including the sugar free options. So we still have all the sandwiches, so its still 5, then x 2 because that's how many sugar free desserts there are, and x 3 because that's how many sugar free drinks there are. So 5x2x3=30, and 30/120 (as it is a fraction) can be simplified to 1/4

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During one month, a rental agency rented a total of 155 cars, trucks, and vans. Nine times as many cars were rented as vans, and
solong [7]

Answer:

The system of three equations is equal to

x+y+z=155

y=9x

z=3y

Step-by-step explanation:

Let

x ----> the number of cars rented during one month

y ----> the number of vans rented during one month

z ----> the number of trucks rented during one month

we know that

x+y+z=155 ----> equation A

y=9x ---> equation B

z=3y ----> equation C

8 0
2 years ago
Drag each situation to show whether it can be modeled using a linear or an exponential function. If the situation cannot be mode
lawyer [7]

Answer:

Step-by-step explanation:

A). An investment account earns 2.8% simple interest.

    Since investment amount increases every year linearly, therefore, the modeled situation represents a LINEAR FUNCTION.

B). The price of a stock varies by 2.8% each week.

    Since price of the stock may increase or decrease every week, therefore, this situation can't be modeled by any function.

Therefore, the answer is NEITHER.

C). An investment account earns 2.8% compound interest, compounded monthly.

Formula to get the value of the final amount in the account is,

Final value = Initial value × (1+\frac{.028}{100})^t

Here 't' = Duration of investment

It's an EXPONENTIAL FUNCTION.

3 0
2 years ago
"You are going to make a trash bin with a square base , vertical sides and no top. If you have 108 ft2 of material available, de
kotykmax [81]
<h2>Dimension of trash bin is 6 ft x 6 ft x 3ft .</h2>

Step-by-step explanation:

Let h be the height of box and a be the side of base square.

We have 108 ft² material.

Surface area of trash bin = 108 ft²

Surface area of trash bin = a² + 4 ah

a² + 4 ah = 108

       4ah = 108 - a²

            h=\frac{108-a^2}{4a}

Volume of trash bin, V = a²h

           V=a^2\times \frac{108-a^2}{4a}=27a-0.25a^3

At maximum volume differentiation of volume will be zero

               dV=27da-0.25\times 3a^2da\\\\0=27da-0.75a^2da\\\\a^2=36\\\\a=6ft

Surface area of trash bin = a² + 4 ah = 108

                                              36 + 4 x 6 x h = 108

                                                           h = 3 ft

Dimension of trash bin is 6 ft x 6 ft x 3ft .

8 0
2 years ago
Solve the inequality 6h−5(h−1)≤7h−11 and write the solution in interval notation. Use improper fractions if necessary.
Kobotan [32]

Answer:

h \geq 2\frac{2}[3}

Step-by-step explanation:

We solve the inequality similarly to how we would solve an equalitu.

6h - 5(h-1) \leq 7h - 11

6h - 5h + 5 \leq 7h - 11

h - 7h \leq -11 - 5/

-6h \leq -16

Multiplying everything by -1

6h \geq 16

Simplifying by 2

3h \geq 8

h \geq \frac{8}{3}

8 divided by 3 is 2 with rest two. So as a improper fraction, the answer is:

h \geq 2\frac{2}[3}

6 0
2 years ago
Brent hiked along a trail that was 9.66 miles long.He hiked 4.2 miles every hour. How many hours did it take Brent to finish hik
Archy [21]
If you divide 9.66 and 4.2 itll equal 2.3

6 0
2 years ago
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