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oksian1 [2.3K]
4 years ago
13

And i need help with these problem.

Mathematics
2 answers:
Nikolay [14]4 years ago
8 0
Let the required amount of the second alloy be x, then
0.15 x 20 + 0.1x = 0.12(20 + x)
3 + 0.1x = 2.4 + 0.12x
0.12x - 0.1x = 3 - 2.4
0.02x = 0.6
x = 0.6/0.02 = 30

Therefore, to make a 12% mixture, 30 pounds of the secon mixture should be added.
Katena32 [7]4 years ago
3 0
Tin from the first alloy: 20*15% = 3

Tin from the second alloy: x*10% = 0.1x

Total tin: (20 + x)*12% = 2.4 + 0.12x

Total tin = tin from the first alloy + tin from the second alloy
2.4 + 0.12x = 3 + 0.1x

Solve for x:

0.12x - 0.1x = 3 - 2.4
0.02x = 0.6
x = 0.6 /0.02
x = 30

Answer: must add 30 pounds of the second alloy.


 
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kondor19780726 [428]

First one is negative correlation, second one is no correlation. You're welcome.


4 0
3 years ago
Which ordered pair is a solution of the equation? − 4 x + 7 = 2 y − 3 −4x+7=2y−3
Maru [420]

Answer:

The equation is

−4x+7=2y−3

Which can be rewritten as

2y−3  = -4x +7

2y = -4x + 10

y = -2x + 5

The equation represents the line shown in the image below.

Any point that belongs to the line is an ordered pair that represents a solution

To find any ordered pair that satisfies the equation, we place an arbitrary value for x and find the corresponding y value with the equation.

For example

x = 0 ,

y = -2(0) + 5  = 5

(0,5) is an ordered pair

x = 1 ,

y = -2(1) + 5  = 3

(1,3) is an ordered pair

x = 2 ,

y = -2(2) + 5  = 1

(2,1) is an ordered pair

And so on

6 0
3 years ago
If a boat travels 3 miles in 1.5 hours how far will it travel in 2 hours?
Vladimir [108]

Answer:

It will travel 1 mile in 2 hours.

Step-by-step explanation:

First you will have to find the unit rate, which is how much miles does a boat travel in one hour. In  order to do that you do,

1.5 / 3

So then you will get 0.5 miles in one hour.

Then you find out how long it takes to travel in 2 hours. You do that by doing

0.5 * 2

So you will get 1 mile

So your final answer is, the boat will travel 1 mile in two hours.

4 0
3 years ago
M and n are integers such that 6 < m < n. what is the value of n ?
Rainbow [258]
N can be equal to anything below 4 because if they are integers, m will equal to 5 or lower, as long as it is a whole number, but since the greatest possible answer is 5 then we will say m=5.  So it is simplified to 6<5<n, and same thing, n is equal to any whole number below 5, so n is equal to 4, 3, 2, 1, 0, etc.
4 0
3 years ago
Rewrite the equation below so that it does not have fractions.
amid [387]

Answer:

9x+24=5

Step-by-step explanation:

Hi there!

\displaystyle\frac{3}{4}x+2=\frac{5}{12}

To get rid of the fraction \displaystyle \frac{3}{4}, multiply both sides of the equation by 4 (the denominator:

4(\displaystyle\frac{3}{4}x+2)=4(\frac{5}{12})\\\\\frac{4*3x}{4} +4*2=\frac{4*5}{12} \\\\3x+8=\frac{5}{3}

Now, to get rid of the fraction \displaystyle\frac{5}{3}, multiply both sides of the equation by 3 (the denominator):

\displaystyle3(3x+8)=3(\frac{5}{3})\\\\3*3x+3*8=\frac{3*5}{3} \\9x+24=5

I hope this helps!

3 0
3 years ago
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