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Pani-rosa [81]
3 years ago
10

You are taking a typing class and can now type 30 words per minute. Set up a proportion to solve for the amount of time it would

take you to type 400 words. Place your proportion and answer below.
PLEASE set up proportion and add answer thanks!
Mathematics
1 answer:
pochemuha3 years ago
4 0

Answer:

13 minutes and 20 seconds

Step-by-step explanation:

400/30= 13.33333333

.333333 of a minute is 20

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What is the nth term of 1,3,5,7,9,11
Vera_Pavlovna [14]

Answer:

11

Step-by-step explanation:

Here,

11 is the nth term as it is the last term shown in the sequence

8 0
3 years ago
How much of a spice that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5%
kozerog [31]
<h3>Answer:</h3>

87.5 ounces

<h3>Explanation:</h3>

There's a cute "X-diagram" tool that can be used for solving mixture problems of all kinds. (See the attachment.) The numbers on the left represent the percentages of the constituents of the mix. The number in the center is the desired percentage in the resultant mix. The numbers on the right in the X are the differences along the diagonals. (6-5=1, 5-3=2)

These are also the proportions of the constituents in the final mix. That is, there are 2 parts of spice that is 6% salt for each 1 part of spice that is 3% salt. So, we need half as much of the latter as the former.

Half of 175 ounces is 87.5 ounces, the amount of 3% spice that is needed.

_____

If you really want to write an equation, you can let x represent the amount of 3% spice needed. Then the amount of salt in the mix is ...

... 175×6% +x×3% = (175+x)×5%

Dropping the percent symbols and eliminating parentheses, we have

... 1050 +3x = 875 +5x

... (1050 -875) = (5x -3x) . . . . . add -875-2x

... 175/2 = x = 87.5 . . . . . . . . . . divide by the coefficient of x

5 0
3 years ago
Read 2 more answers
The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possibl
True [87]

Answer:

-3

Step-by-step explanation:

The length of a segment is

sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)

sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)

sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)

Combine like terms

sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)

Square each side

( a-3)^2 + (2a -4) ^2) = 4 *(10)

FOIL the left side

a^2 -6a +9   + 4a^2 -16a +16 = 40

Combine like terms

5a^2 -22a +25 = 40

Subtract 40 from each side

5a^2 -22a -15 =0

Factor

(a - 5) (5 a + 3) = 0

Using the zero product property

a-5 =0   5a +3 = 0

a = 5       5a = -3

a=5     a = -3/5

The product of the terms is

5 * -3/5 = -3

5 0
3 years ago
How the Information Revolution changed American Economics.
notka56 [123]

Answer:

The Industrial Revolution shifted from an agrarian economy to a manufacturing economy where products were no longer made solely by hand but by machines. This led to increased production and efficiency, lower prices, more goods, improved wages, and migration from rural areas to urban areas.

4 0
3 years ago
Find the length of the missing side of the right triangle.​
Vladimir79 [104]
Here you are trying to find the hypotenuse. So you would take
5^2 (five squared) plus 12^2 (twelve squared) and add them using the equation a^2+b^2= c^2. Now you square 5 and 12 to get 25 and 144. You add them together and get 169. Take the square root of 169 and c. The square root on c will cancel out the squared (to the power of two) part leaving you with just c. And the square root of 169 is 13. So c (the missing length) is 13. C=13.
4 0
4 years ago
Read 2 more answers
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