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Verizon [17]
4 years ago
10

X+3 2/5=2 1/6 what is x?

Mathematics
1 answer:
Delicious77 [7]4 years ago
7 0

first off, let's convert the mixed fractions of 3⅖ and 2⅙ to improper, and then solve for x.


\bf \stackrel{mixed}{3\frac{2}{5}}\implies \cfrac{3\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{17}{5}} \\[2em] \stackrel{mixed}{2\frac{1}{6}}\implies \cfrac{2\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{13}{6}}\\\\ \rule{31em}{0.25pt}\\\\ x+\cfrac{17}{5}=\cfrac{13}{6}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{30}}{30\left( x+\cfrac{17}{5} \right) =30\left( \cfrac{13}{6} \right)}\implies 30x+102=65 \\[2em] 30x=-37\implies x=-\cfrac{37}{30}\implies x=-1\frac{7}{30}


if you're wondering why we multiply by the LCD of 30, is just to do away with the denominators.

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The combined weight of the people in an elevator is 49% of the 3,025-pound capacity.Which would be the best way to estimate the
klasskru [66]

Answer:

50% of 3000

Step-by-step explanation:

49% is very close to 50% (half).  3,025 pounds is very close to 3,000 pounds.

Half of 3,000 pounds is 1,500 pounds.

3 0
3 years ago
Find the sum of natural number from 1 to 30
Ierofanga [76]

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

sum of term = 465

2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term  formula can be used to find the next term progressively.  where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

6 0
3 years ago
Limited time . 10 points
AfilCa [17]

Answer:

Therefore the value of x is

x=1\pm\sqrt{19}i

Step-by-step explanation:

Given:

x^{2}+20=2x which is

x^{2}-2x+20=0

To Find:

x = ? using Quadratic Formula

Solution:

For a Quadratic Equation ax² + bx + c = 0 , Formula Method is given as

x=\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}

On Comparing with above we get

a=1\\b=-2\\c=20

Substituting a , b , c in Formula method we get

x=\dfrac{-(-2)\pm\sqrt{(-2)^{2}-4(1)(20)}}{2\times 1}\\\\x=\dfrac{2\pm\sqrt{-76}}{2}\\\\x=\dfrac{2\pm2\sqrt{19}i}{2}\\Dividing\ by\ 2\ we\ get\\\\x=1 \pm\sqrt{19}i

Therefore the value of x is

x=1\pm\sqrt{19}i

8 0
4 years ago
What is the prouduct of 5/6 x 3. show work using the number line method
Rudik [331]
5/6 times 3/1= 15/6 so that will be your answer
5 0
3 years ago
What are the measures of angles M and N?
romanna [79]

Answer:

mM = 113 and mN = 61

Step-by-step explanation:

In a Cyclic quadrilateral, the rule states that:

The sum opposite interior angles is equal to 180°

In the above diagram, we have cyclic quadrilateral KLMN

According to the rule stated above:

Angle K is Opposite to Angle M

So, Angle K + Angle M = 180°

Angle K = 67°

67° + Angle M = 180°

Angle M = 180° - 67°

Angle M = 113°

Angle L is Opposite to Angle N

so Angle L + Angle N = 180°

Angle L is given as = 119°

119° + Angle N = 180°

Angle N = 180° - 119°

Angle N = 61°

Therefore, Angle M = 113° and Angle N = 61°

7 0
3 years ago
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