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3 years ago

A cooler of drinks has 5 bottles of water for every 3 sodas. If there are 120 drinks in the cooler, how many are sodas?

Mathematics

2 answers:

Lelu [443]3 years ago

7 0

There would be 45 sodas

jolli1 [7]3 years ago

5 0

The ratio would be 75:45 so there would be 75 waters and 45 sodas

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Two boys are running track. They decide to start in the northwest corner and go opposite directions around the rectangular track

Mariulka [41]

= 187.3 yards

Step-by-step explanation:

The set-up will represent a triangle whereby the :

Width = Height = 150 yards
Diagonal = Hypotenuse = 240 yards
Length = Base = ?

${a}^{2} = {c}^{2} - {b}^{2} \\ {a}^{2} = {240}^{2} - {150}^{2} \\ {a}^{2} = 57600 - 22500 \\ \sqrt{ {a}^{2} } = \sqrt{35100} \\ a = 187.3yards \: (rounded \: off \: to \: 1dp)$

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2 years ago

3. If 2p + q = 11 and p + 2q = 13, then p+q= (A) 6 (B) 8 (C) 9 (D) 12 (E) 18

frozen [14]

Answer:
(C) 9

Step by step:
11-2=9 and it’s asking for both p and q combined so no need to worry about that

8 0

3 years ago

Read 2 more answers

A device produces random 64-bit integers at a rate of one billion per second. After how many years of running is it unavoidable

nikitadnepr [17]

Answer:

3171 × 10^(44) years

Step-by-step explanation:

For each bit, since we are looking how many years of running it is unavoidable that the device produces an output for the second time, the possible integers are from 0 to 9. This is 10 possible integers for each bit.

Thus, total number of possible 64 bit integers = 10^(64) integers

Now, we are told that the device produces random integers at a rate of one billion per second (10^(9) billion per second)

Let's calculate how many it can produce in a year.

1 year = 365 × 24 × 60 × 60 seconds = 31,536,000 seconds

Thus, per year it will produce;

(10^(9) billion per second) × 31,536,000 seconds = 3.1536 × 10^(16)

Thus;

Number of years of running is it unavoidable that the device produces an output for the second time is;

(10^(64))/(3.1536 × 10^(16)) = 3171 × 10^(44) years

6 0

3 years ago

Given the function, d(t) = 50t, the variable t represents which of the following? Select all that apply. input output function i

Nikitich [7]

Answer:

Input

Independent variable

Step-by-step explanation:

we know that

Independent variables, are the values that can be changed or controlled in a given model or equation

Dependent variables, are the values that result from the independent variables

we have the function

$d(t)=50t$

In this problem

This is a proportional relationship between the variables d and t

The function d(t) represent the dependent variable or the output

The variable t represent the independent variable or input

5 0

3 years ago

Read 2 more answers

What is the slope of the graph of 4 x + 8 y = 11?

Karolina [17]

Answer:

B -1/2

Step-by-step explanation:

4x+8y = 11

We need to get the equation in the slope intercept form

y = mx+b where m is the slope and b is the y intercept

Subtract 4x from each side

4x-4x+8y = -4x+11

8y = -4x+11

Divide by 8

8y/8 = -4x/8 +11/8

y = -1/2x +11/8

The slope is -1/2 and the y intercept is 11/8

8 0

3 years ago

Read 2 more answers