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3 years ago

Write,in its simplest form,the ration 3.5:800

1 answer:

4 0

Ok so I believe the simplest form of a ratio would mean no decimals, so we can simply multiply 3.5 and 800 by 2, which would give us 7:1600.

We can see that 7 and 1600 have no common factors, hence 7:1600 is the simplest form of the ratio 3.5:800.

Hope this helps!

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The points (10,14) and (35,49) form a proportional relationship. Find the slope of the line through the points. Then use t

Readme [11.4K]

The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

From the above formula, we can find the slope of the line:

m = (49-14)/(35-10)

m = 35/25

m = 7/5

The equation will be:

y = 7x/5 + c

here c is the y-intercept

Plug (10, 14) in the equation to find the value of c

14 = 7(10)/5 + c

c = 0

y = 7x/5 or

5y - 7x = 0

Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.

Learn more about the slope here:

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6 0

1 year ago

The ratio of workers to supervisors and factories 32 to 2. The ratio of male workers to female workers is 6 to 5. If there are 8

Margarita [4]

Answer:

The number of supervisor in the factory is 9 .

Step-by-step explanation:

Given as :

The ratio of workers to supervisors and factories 32 : 2

let the number of workers = 32 x

And The number of supervisors = 2 x

The ratio of male workers to female workers is 6:5

Let The number of male workers = 6 y

And The number of female worker = 5 y

The number of female workers at the plant = 80

So, 5 y = 80

∴ y = $\frac{80}{5}$

I.e y = 16

So, The number of male workers = 6 y = 6 × 16 = 96

Thus The Total number of worker in the factory = The number of male workers + The number of female workers at the plant

Or, The Total number of worker in the factory = 96 + 80 = 146

Now , Again

∵ The ratio of workers to supervisors in factories 32 : 2

So, The number of workers = 32 x

I.e 146 = 32 x

∴ x = $\frac{146}{32}$ = 4.5

So, The number of supervisors = 2 x = 2 × 4.5 = 9

Hence The number of supervisor in the factory is 9 . Answer

3 0

3 years ago

Read 2 more answers

Happy thanksgiving everyone!

tiny-mole [99]

Happy Thanksgiving! ❤

8 0

3 years ago

Read 2 more answers

“the product of 6 and<br> 9 decreased by 8"

Komok [63]

Answer:

Step-by-step explanation:

“the product of 6 and 9 decreased by 8"

“the product of 6 and 9" = 6 * 9

"decreased by 8" = - 8 (subtract 8 from whatever, in this case 6 * 9)

“the product of 6 and 9 decreased by 8" = 6 * 9 - 8 = 46

5 0

2 years ago

On a car trip , the number of miles driven , m , is proportional to the number of gallons of gas used , g , as shown in the tabl

FrozenT [24]

Answer:

m = 32g

Step-by-step explanation:

The proportion between m and g can be written ...

m = kg

where k is the constant of proportionality.

We can find its value by dividing by g:

k = m/g

Using any pair of corresponding values from the table, we find ...

k = 64/2 = 32

The relationship between m and g can be expressed by the equation ...

m = 32g

3 0

2 years ago