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Kay [80]
3 years ago
12

(01.07)

Mathematics
1 answer:
AURORKA [14]3 years ago
3 0
*The answer is A. 24.*

All you have to do is back solve. In other words, just plug your answer choices into the equation.
You might be interested in
The speed of a stream is 2 mph. A boat travels 20 miles upstream in the same time it takes to travel 40 miles downstream. What i
nataly862011 [7]

Answer:

<em>The speed of a boat in still water is 6 miles per hour. </em>

Step-by-step explanation:

t = \frac{20}{s-2}  (upstream)

t = \frac{40}{s+2}  (downstream)

\frac{20}{s-2} = \frac{40}{s+2}

40 ( s - 2 ) = 20 ( s + 2 )

40s - 80 = 20s + 40

20s = 120

s = 6 mi / h

<em>The speed of a boat in still water is 6 miles per hour.</em>

5 0
2 years ago
A ball thrown in the air has a height of y = - 16x² + 50x + 3 feet after x seconds. a) What are the units of measurement for the
Lubov Fominskaja [6]
<h2>Answer:</h2>

(a) ft/s

(b) 1ft/s

<h2>Step-by-step explanation:</h2>

Given equation;

y = (- 16x² + 50x + 3)ft       -------------(i)

Where;

y is measured in feet(ft)

x is measured in seconds(s).

(a) The rate of change of y with respect to x is found by dividing the total change in y by the total change in x. i.e

Δy / Δx

Where;

Δy = y₂ - y₁  

Δx = x₂ - x₁

∴ Δy / Δx = \frac{y_2 - y_1}{x_2 - x_1}              --------------(ii)

Since y is measured in feet, Δy will also be measured in feet.

Also, since x is measured in seconds, Δx will also be measured in seconds.

Therefore, the rate of change of y with respect to x (Δy / Δx) will be measured in feet per second (ft/s)

(b) The rate of change of y between x  = 0 and x = 2 can be found by using equation (ii)

Where;

y₂ is the value of y at x = 2 found by substituting x = 2 into equation (i)

y₁ is the value of y at x = 0 found by substituting x = 0 into equation (i)

=> y₂ =  - 16(2)² + 50(2) + 3 = 39

=> y₁ =  - 16(1)² + 50(1) + 3 = 37

Now, substitute the values of y₂, y₁, x₂ and x₁  into equation (ii)

Δy / Δx = \frac{39 - 37}{2 - 0}  

Δy / Δx = \frac{2}{2}

Δy / Δx = 1

Therefore, the rate of change of y is 1 ft/s

 

3 0
2 years ago
Find the Unit Rate. 7 Dollars per 3 Apples. Round to the nearest hundredth.
svet-max [94.6K]

Answer:

2.3

Step-by-step explanation:

\frac{Dollars}{Apples}

When we find Unit Rate we divide the biggest number to the smallest number

\frac{7}{3} = 2.3

Hope this helped!

4 0
2 years ago
You survey your class to find out the types of pets they have at home. Below are the results: Dog, Dog, Cat, Cat, Cat, Dog, Hams
Fynjy0 [20]

Answer:

a) Frequency table:

Category       Frequency

 Dog                     4

 Cat                       3

 Fish                      2

 Hamster               1

b) Relative frequencies of each animal type

  • Dog: 4/10 = 0.4
  • Cat: 3/10 = 0.3
  • Fish: 2/10 = 0.2
  • Hamster: 1/10 = 0.1

c) Popularity

  • Dog is the most popular because it has the highest relative frequency.
  • Hamster is the least popular because it has the lowest relative frequency.

Explanation:

<u>a. Make a frequency table for the results.</u>

There are four kind of pets: dog, cat, hamster, and fish.

A <em>frequency table </em>shows the number of items for each category (kind of pets).

Count the number of each kind of pet:

  • Dog: 4
  • Cat: 3
  • Hamster: 1
  • Fish: 2
  • Total: 10

With that you build your frequency table.

Frequency table:

Category       Frequency

 Dog                     4

 Cat                       3

 Fish                      2

 Hamster               1

<u>b. Relative frequencies of each animal type.</u>

The relative frequency is how often an outcome appears divided by the total number of outmcomes.

Here the total number of outcomes is 10 (the ten pets).

So, calculate each relative frequency:

  • Dog: 4/10 = 0.4
  • Cat: 3/10 = 0.3
  • Fish: 2/10 = 0.2
  • Hamster: 1/10 = 0.1

An important feature of the relative frequency is that they must add up 1. Check:

  • 0.4 + 0.3 + 0.2 + 0.1 = 1.

<u>c. Using the relative frequencies explain which animals are most and least popular.</u>

Popularity is determined by the frequency with each outcome is repeated. The most popular is the most repeated. The least popular is the least repeated.

  • Dog is the most popular because it has the highest relative frequency.

  • Hamster is the least popular because it has the lowest relative frequency.
7 0
3 years ago
Is √50 greater or less then 7.8
Flura [38]

Answer:

Less than.

square root 50 = 7.07

7.8 = 7.8

7 0
1 year ago
Read 2 more answers
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