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Scorpion4ik [409]
3 years ago
6

Sebastian received 200 in holiday presents.He deposited 70% of that money in his bank account. How much did he put his bank acco

unt?
Mathematics
1 answer:
VashaNatasha [74]3 years ago
7 0

Answer:

$140 in the bank account

Step-by-step explanation:

0.70 (or 70%) of $200 = 140

70% of 100 = $70

$70 x 2 = $140

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Solve 5x2-2x-8=0 using the quadratic formula.
choli [55]

Answer:

x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}

Step-by-step explanation:

The quadratic formula states that the solutions for a quadratic is standard form ax^2+bx+c are equal to x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}.

In 5x^2-2x-8=0, we can assign the values:

  • a of 5
  • b of -2
  • c of -8

Thus, we have:

x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}

6 0
3 years ago
Read 2 more answers
3(- 1) – 2(2x + 1) = 8(x - 1)?
Nitella [24]

Answer:

x = 1/4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

6 0
3 years ago
Find the slope of the line drawn below
Marysya12 [62]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (1, - 3)

m = \frac{-3-2}{1-1} = \frac{-5}{0}

Since division by zero is undefined then the slope of the line is undefined

4 0
3 years ago
The complementary angle of 45
Licemer1 [7]

Answer:

45°

Step-by-step explanation:

Complementary angles sum to 90°, thus

90° - 45° = 45° ← is the complement of 45°

4 0
4 years ago
A. 16
kogti [31]

9514 1404 393

Answer:

  C.  8√3/3

Step-by-step explanation:

It can be useful to remember that the ratio of sides in a 30°-60°-90° triangle are ...

  1 : √3 : 2

That is the short leg is 1/√3 times the length of the longer leg.

 8(1/√3) = 8(√3/3) . . . . . matches choice C

6 0
3 years ago
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