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3 years ago

State whether the ratios form a proportion.

1 answer:

6 0

16 to 18 simplifies down to 8 to 9 because you divide 2 to both terms
24 to 27 simplifies down to 8 to 9 because you divide 3 to both terms
So yes
A

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Can you please help me on this question 8(4-x)=7x+2

kati45 [8]

Answer:

2=x

Step-by-step explanation:

8(4-x)=7x+2

Distribute

32 - 8x = 7x+2

Add 8x to each side

32 - 8x+8x = 7x+8x+2

32 = 15x+2

Subtract 2 from each side

32-2 = 15x+2-2

30 = 15x

Divide each side by 15

30/15 = 15x/15

2 =x

5 0

3 years ago

What are the areas of all these triangles? I need help please? and if you could do explanations that would be great!!!

Luba_88 [7]

Answer:

Step-by-step explanation:

8 times 6 = 48 (base times high = a rectangle). (A triangle takes half the space)

F. (6*8)/2 =24 square units

B. (2 * 3/2) / 2 = 3/2 = 1.5 square units

G. (4*3)/2 = 6 square units

H. (8/3 *2)/2 = 8/3 = 2.67 square units

4 0

2 years ago

The sales revenue goes up from 2018 to 2019 by 5%. The sales revenue in 2018 was $19,800. What was the sales revenue in 2019?

Cerrena [4.2K]

Answer: $20,790

Step-by-step explanation:

The sales revenue increased by 5% from 2018 to 2019.

The sales revenue that was increased from in 2018 is $19,800 which means that the 2019 sales revenue is 5% more than $19,800.

To find the sales revenue in 2019, do the following:

= 19,800 + (19,800 * 5%)

= 19,800 + 990

= $20,790

8 0

3 years ago

Read 2 more answers

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

After a ham is cured it may be smoked to add flavor or to ensure it lasts longer. Typical grocery-store hams are smoked for a sh

Elza [17]

Answer:

107

Step-by-step explanation:

Given that after a ham is cured it may be smoked to add flavor or to ensure it lasts longer.

Let X be the smoking time . Then X is N(mu, 8)

a) The sample is drawn at random

b) The sample represents the population

c) Sample size is sufficient to represent the population

b)For 99% conf interval z critical is taken since population std dev is given

Z critical = 2.58

Hence confi interval = $(\mu+/- 2.58*\frac{\sigma}{\sqrt{n} } \\=(\mu +/- 2.58\frac{8}{6} )\\= (\mu -3.44, \mu+3.44)$

c) As sample sizes are large and samples are randomly drawn, we can be 99% confident that sample mean falls within this interval

d) If margin of error is only 2, then we must have

$2.58*\frac{8}{\sqrt{n} } =2\\10.32=\sqrt{n} \\n=106.50\\n~107$

3 0

3 years ago