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Nata [24]
3 years ago
14

Fill in the missing number to name a fraction equivalent 8/3

Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer:

72/27

Step-by-step explanation:

Because all you have to do is multiply by any number to the numerator and denominator same number I used 9 for some reason but since you multiplied them both by the same number the new fraction will be equivalent

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You notice that when you study for a test more, you get better grades. What does this illustrate?
xxTIMURxx [149]

Answer:

Causation

Step-by-step explanation:

Studying better prepares you for a test, getting you better grades.

8 0
2 years ago
Answer this please I need a real answer
Anna11 [10]

Answer:

see explanation

Step-by-step explanation:

(a)

x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides

0 = x² - 2x - 3 ← in standard form

0 = (x - 3)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

-----------------------------------

(b)

\frac{x+2}{3} - \frac{2}{15} = \frac{x-2}{5} ( multiply through by 15 to clear the fractions )

5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides

5x + 10 - 2 = 3x - 6

5x + 8 = 3x - 6 ( subtract 3x from both sides )

2x + 8 = - 6 ( subtract 8 from both sides )

2x = - 14 ( divide both sides by 2 )

x = - 7

--------------------------------------------

(c) Assuming lg means log then using the rules of logarithms

log x^{n} ⇔ nlogx

log x = log y ⇒ x = y

Given

log(2x + 3) = 2logx

log(2x + 3) = log x² , so

x² = 2x + 3 ( subtract 2x + 3 from both sides )

x² - 2x - 3 = 0

(x - 3)(x + 1) = 0

x = 3 , x = - 1

x > 0 then x = 3

6 0
3 years ago
The table shows the prices of 8 different treadmills at a sporting goods
irakobra [83]

Answer:

mean: $837.50; median: $810; mode: $810; range: $645

Step-by-step explanation:

Discounted prices are given as:

$640, $810, $755, $810, $1175, $900, $1080, $530

a. Mean = Sum of the Number of Term ÷ Total number of Terms

Total number of term = 8

Mean = ($640 + $810 + $755 + $810 + $1175 + $900 + $1080 + $530) ÷ 8

Mean = $837.50

b) Median.

$640, $810, $755, $810, $1175, $900, $1080, $530

The first step is to rearrange the discounted prices =

$530, $640, $755, $810, $810, $900, $1080, $1175

Second step is to find the number in the middle

$530, $640, $755, )$810, $810, ($900, $1080, $1175

= ($810 + $810) ÷ 2

= $1920 ÷ 2

= $810

Median = $810

c) Mode

This is calculated as the prices that occurs the most or more than once amongst the Discounted prices.

Discounted prices = $530, $640, $755, $810, $810, $900, $1080, $1175

Price that occurs more than once = $810.

Mode = $810

d. Range

This is calculate as the Highest Discounted price - Lowest Discounted price.

Highest Discounted price = $1175

Lowest Discounted price =$530

Range = $1175 - $530

= $645

6 0
2 years ago
You are on the south side of a river and you need to cross the river in order to get to a campsite. Not
Doss [256]

Answer:

Width of river = 0.25 mile

As length of river is not given , but it is given that  campsite is located 1 mile east upstream, So length of river = 1 mile

Speed of mine in river while going upstream = 3 miles per hour

Speed of current as going Upstream = 1 miles per hour

Now Reduced speed of mine = Speed of mine in river while going upstream - Speed of current as going Upstream

                                              = 3 - 1

                                              = 2 miles per hour

1. There are two ways to reach campsite

(a) either walk 1 mile from starting point in east direction and then swim 0.25 mile in North direction to reach campsite.

Or

(b) From the starting point Considering a right triangle having, base=1 mile and altitude = 0.25 mile, then finding the length of hypotenuse using formula = \sqrt{(altitude)^2 + (Base)^2

=\sqrt{.25^2+1^2}

=√1.0625

=1.03078(approx)

⇒ you must walk a distance of 1 mile in the east direction and then swim 0.25 mile north direction to reach directly at campsite.[shown in the diagram]



7 0
3 years ago
A recipe of pasta makes enough for eight servings. How many servings can be made using 4/8 of each ingredient in the recipe?
marta [7]
4/8 is the same as 1/2, so half. If you only have 4/8, then half of eight is 4. 4 servings.
6 0
3 years ago
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