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loris [4]
3 years ago
12

Write the equation that the phrase represents, then solve the equation. The difference of a number and 1 2/7 is 5 1/2 ( with exp

lanation )
Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0

Answer:

n = 95/14, or 6 11/14

Step-by-step explanation:

Let the number be n.  Then:

n - 1 2/7 = 5 1/2.

Multiplying each term by the LCD (which is 14), we get:

14n - 18 = 77

Then 14n = 95  

and so the desired result is n = 95/14, or 6 11/14

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Find the product. Write the product in simplest form.<br> 8 X<br> 5/7
goblinko [34]

Answer:

Simplify above fraction

56

6

Common divisor of (56, 6) is 2

Divide both numerator & denominator by gcd value 2

56

6

=

56

÷

2

6

÷

2

=

28

3

8

3

×

7

2

=

28

3

Step-by-step explanation:

6 0
2 years ago
Please help me with this question
Maksim231197 [3]

The answer will be 27 only.

7 0
3 years ago
Consider the system of equations.
Harman [31]

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

The given system of equations:

x  +  2y  =  1............(1)

-3x - 2y  =  5..........(2)

This can be written in matrix form as shown:

\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]

Find the determinant of \left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right]

\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle  = 4

\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12

\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8

x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3

y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

Learn more here: brainly.com/question/4428059

3 0
2 years ago
What is the slope of the line through the points (2, 4) and (2, -11)?
Shkiper50 [21]

Answer:

The slope of the line would be undefined

Step-by-step explanation:

First you take the y of the second point and subtract it from the y of the first point. -11 - 4. That leaves you with -15. Then you take the x of the second point and subtract it from the x of the first point. that leaves you with 0. Then you put y over x. You then have -1`5/0. That is undefined.

8 0
3 years ago
The wildflowers at a national park have been decreasing in numbers. There were 300 wildflowers in the first year that the park s
Scorpion4ik [409]
Although the number of new wildflowers is decreasing, the total number of flowers is increasing every year (assuming flowers aren't dying or otherwise being removed). Every year, 25% of the number of new flowers from the previous year are added.
The sigma notation would be:
∑ (from n=1 to ∞) 4800 * (1/4)ⁿ , where n is the year. 
Remember that this notation should give us the sum of all new flowers from year 1 to infinite, and the values of new flowers for each year should match those given in the table for years 1, 2, and 3
This means the total number of flowers equals:
Year 1: 4800 * 1/4 = 1200 ]
+
Year 2: 4800 * (1/4)² = 300
+ 
Year 3: 4800 * (1/4)³ = 75
+  
Year 4: 4800 * (1/4)⁴ = 18.75 = ~19 (we can't have a part of a flower)
+
Year 5: 4800 * (1/4)⁵ = 4.68 = ~ 5
+ 
Year 6: 4800 * (1/4)⁶ = 1.17 = ~1
And so on. As you can see, it in the years that follow the number of flowers added approaches zero. Thus, we can approximate the infinite sum of new flowers using just Years 1-6:
1200 + 300 + 75 + 19 + 5 + 1 = 1,600

8 0
3 years ago
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