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3 years ago

Please help me with this problem I can’t figure it out

Mathematics

1 answer:

lina2011 [118]3 years ago

5 0

What you need to do is give these problems a common denominator. Which makes 3/21 and14/21 respectively. Logically, you need to walk 4/21 of the trail. This can’t be simplified further.

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Find 2 numbers, if their sum is -11 and their difference is 41

frosja888 [35]

Answer:

15, -26

Step-by-step explanation:

The <em>generic solution</em> to a "sum and difference" problem can be found easily. Let "a" and "b" represent the numbers you seek, and let "s" and "d" represent their sum and difference:

a + b = s

a - b = d

Adding these two equations tells you ...

2a = s + d

a = (s + d)/2 . . . . . . divide by the coefficient of a

You can find "b" several different ways. One way is to subtract the second equation from the first:

2b = s - d

b = (s - d)/2 . . . . . . divide by the coefficient of b

So, the second number can be found from any of ...

b = s - a
b = a - d
b = (s - d)/2

____

For the numbers given here, s=-11, d=41, the two numbers are ...

a = (-11 +41)/2 = 15

b = -11 -15 = -26

The two numbers are 15 and -26.

5 0

3 years ago

I need help with this one

Degger [83]

−2.72 or -68/25

sjsjsjgshs

4 0

3 years ago

0.11/0.2 as a decimal

kodGreya [7K]

Answer:

0.55

Step-by-step explanation:

To write 0.11/0.2 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 0.11 by 0.2 what we write down as 0.11/0.2 and we get 0.55 And finally we have, 0.11/0.2 as a decimal equals 0.55

8 0

2 years ago

Y=2x-5 and goes through the point (1,4)

Ne4ueva [31]

Step-by-step explanation:

plug in 1 and 4 for x and y

(4)=2(1)-5

then do the math

4=2-5

4 does not equal -3 therefore it is not a solution

6 0

3 years ago

Solve | x + 6| - 7 = 8

Alex

Answer:

x = 9,-21

Step-by-step explanation:

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Cancel absolute sign and add plus-minus to 15:

$\displaystyle \large{x+6=\pm 15}$

Transport 6 to subtract ±15:

$\displaystyle \large{x=\pm 15-6}$

Consider:

$\displaystyle \large{x= 15-6}$ or $\displaystyle \large{x = -15-6}$

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x = 9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Second Method

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Absolute Function Property:

$\displaystyle \large{|x-a| = \begin{cases} x-a \ \ (x \geq a) \\ -x+a \ \ (x < a) \end{cases}}$

Consider both intervals:

When x ≥ a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{x+6=15}$

Transport 6 to subtract 15:

$\displaystyle \large{x=15-6}\\\displaystyle \large{x=9}$

When x < a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{-(x+6)=15}\\\displaystyle \large{-x-6=15}$

Transport -6 to add 15:

$\displaystyle \large{-x=15+6}\\\displaystyle \large{-x=21}$

Transport negative sign to 21:

$\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Let me know if you have any questions regarding this question, my answer or explanation. Hope this answer and explanation helps you and good luck with your assignment!

3 0

2 years ago