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Sati [7]
3 years ago
10

Evaluate 1/3 x 14/21

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
6 0

Answer:

2/9.

Step-by-step explanation:

Perform multiplication across the fractions. C'mon.

iogann1982 [59]3 years ago
5 0

Answer:14/7 which equals2

Step-by-step explanation:

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Can someone please be generous and help me
Ugo [173]

Answer:

The point slope form is y-y_{1} =m(x-x_{1} )

The slope(m) can be calculated using \frac{y-y_{1} }{x-x_{1}}:

(x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3

Using Point One, the point-slope form is determined as:

y-(-3)=3(x-4)\\y+3=3(x-4)

The y-intercept(b) can be calculated as:

(5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)

7 0
3 years ago
Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%
ivolga24 [154]

Answer:  

<em>a.  The system of equations that models the situation is....</em>

<em>     0.80x+0.50y=3.60\\\\ 0.20x+0.50y=2.40</em>

<em>b.  The solution to the system:  x = 2 and y = 4 </em>

<em>The amount of 80/20 mixture is 2 pounds and the amount of 50/50              mixture is 4 pounds.</em>

Step-by-step explanation:

Suppose, the amount of 80/20 mixture is  x pounds and the amount of 50/50 mixture is  y pounds.

So, the amount of peanuts in 80/20 mixture = 0.80x pound and the amount of almonds in 80/20 mixture =0.20x pound.

And the amount of peanuts in 50/50 mixture =0.50y pound and the amount of almonds in 50/50 mixture =0.50y pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

So, the amount of peanuts in that mixture =(6\times 0.60)=3.60 pounds

and the amount of almonds in that mixture =(6 \times 0.40)= 2.40 pounds.

So, the system of equations will be.........

0.80x+0.50y=3.60 ...................(1)\\\\ 0.20x+0.50y=2.40...................(2)

Subtracting equation (2) from equation (1), we will get.....

(0.80x+0.50y)-(0.20x+0.50y)=3.60-2.40\\ \\ 0.60x=1.20\\ \\ x= \frac{1.20}{0.60}=2

Now, plugging this x=2 into equation (1), we will get......

0.80(2)+0.50y=3.60\\ \\ 1.60+0.50y=3.60\\ \\ 0.50y=3.60-1.60=2\\ \\ y=\frac{2}{0.50}=4

So, the amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

7 0
3 years ago
Which function describes the arithmetic sequence shown?<br> 1,-2, -5, -8, -11, ...
antiseptic1488 [7]

Answer:

a(n)=1+(n-1)(-3)

Step-by-step explanation:

Notice there's a common difference of d=-3.

If we use the formula a(n)=a1+(n-1)d to find the nth term given the first term and the common difference, we will see that the function that describes the arithmetic sequence as a(n)=1+(n-1)(-3)

6 0
2 years ago
3y to the power of 2 +6y+2y
Dafna1 [17]

Answer:

3y2 + 8y

Step-by-step explanation:

3y2 + 6y + 2y

3y2 + 8y

7 0
3 years ago
A shape is covered by 40 unit squares. What is the area of the shape
ollegr [7]
Hello!

I believe that the answer would be 40²

I hope this helps!
6 0
3 years ago
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