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likoan [24]
3 years ago
14

A particle shade of orange paint has 2 cups of yellow paint for every 3 cups of red paint on the double number line circle the v

alues of yellow and red paint needed for 3 batches of orange paint

Mathematics
1 answer:
Marat540 [252]3 years ago
7 0

Answer:

Given,

2 cups of yellow paint is needed for every 3 cups of red paint to make a batch of orange paint,

So, the ratio of yellow paint and red paint in a batch of orange paint = 2 : 3

Make two number lines,

First one represents the multiple of 2 and second one represents the multiples of 3,

By the double number line ( shown below ),

It is clear that,

For 3 batches of orange paint, 6 cups of yellow paint and 9 cups of red paint are needed.

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A number has two digits. The digit at tens place is four times the digit at units place. If 54 is subtracted from the number, th
iren2701 [21]

"The digit at tens place is four times the digit at units place."

How many possible numbers are there?

1 in the units place: 41

2 in the units place: 82

If you try 3 in the units place, 4 * 3 = 12, you'd get 123, and now it's a three-digit number, so the only possibilities are 41 and 82.

41 or 82

If you subtract 54 from 41, you get a negative number, so 41 cannot be the number.

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3 years ago
Find an equation for the line that passes through the points (4,3) and (-6,5)
mixer [17]

Answer:

y = -1/5x + 19/5  or

x + 5y = 19.

Step-by-step explanation:

The slope of the line (m) = (5-3) / (-6-4)

= -1/5.

Using the point-slope form of the equation of a line:

y - y1 = m(x - x1)     m = -1/5. x1 = 4 and y1 = 3 , so:

y - 3 = -1/5(x - 4)

y - 3 = -1/5x + 4/5

y = -1/5x + 19/5   which is the equation in slope-intercept form.

Converting  to standard form  ( multiplying by 5):

5y = -x + 19

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7 0
3 years ago
A company wants to have $20,000 at the end of a ten-year period by investing a single sum now. How much needs to be invested in
Sergio039 [100]

Answer:

<h2>Principal is $6441.22 </h2>

Step-by-step explanation:

let us assume  the investment is compounded over the given period

Given data

Final amount A= $20,000

Rate r= 12%= 0.12

Time t= 10 years

principal=?

The compound interest formula is

A= P(1+r)^n^t

Substituting our given data we have

20000= P(1+0.12)^1^0\\20000= P(1.12)^1^0\\20000= P(3.105)\\

Dividing both side by 3.105 to find P

P=\frac{20000}{3.105} \\P= 6441.22

Principal is $6441.22

4 0
3 years ago
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