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qaws [65]
3 years ago
11

Buckner put 60$ of his 400 paycheck into his saving account.What percent of his paycheck was placed into saving?

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

15%

Step-by-step explanation:

60/400 = 15/100 (I divided the numerator and denominator by 4 get the denominator 100, so we can find the percentage easily).

15/100 = 15%

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Bond [772]
The area of the shaded region is 85 units cubed.
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2 years ago
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HELP .-. A painter bought 16 gallons of paint, just to cover two rooms. One room is twice the size of the other room and require
givi [52]
The total number of gallons of paint needed for the big room is 3x and the number of gallons of paint needed for the small room is 2y. 
                                   3x + 2y = 16
Given the sizes of the room, the relation should be that,
                                    x = 2y
Solving the equation,
                                      3(2y) + 2y = 16
                                               y = 2
Therefore x is equal to 4 gallons. 
With the condition that only the bigger room is painted, the number of gallons of paint used should be 12 gallons and what is left should be 4 gallons. 
5 0
3 years ago
1.Show that the statement p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by
Genrish500 [490]

If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.

8 0
2 years ago
The diagram shows a straight line ABCD.
Nady [450]

Answer:

B (0, 285 ) , C (380, 0 )

Step-by-step explanation:

the first step is to obtain the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )

m = \frac{-180-480}{620-(-260)} = \frac{-660}{620+260} = \frac{-660}{880} = - \frac{66}{88} = - 0.75 , then

y = - 0.75x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equatio

using (620, - 180 ) , then

- 180 = - 465 + c ⇒ c = - 180 + 465 = 285

So y- intercept is B (0, 285 )

y = - 0.75x + 285 ← equation of line

to find the x- intercept , let y = 0 in the equation and solve for x

0 = - 0.75 + 285 ( subtract 285 from both sides )

- 285 = - 0.75x ( divide both sides by - 0.75 )

380 = x

x- intercept is C (380, 0 )

4 0
1 year ago
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Evgesh-ka [11]

Answer:

a.6.89 + t = 8.00

Step-by-step explanation: i took the quiz

6 0
1 year ago
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