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Naddik [55]
3 years ago
6

Your Bank account balance was $235 and 24. After two checks were cashed (each for the same amount) your balance is now -45.58. W

hat was the amount of each of those checks?
Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

235.24 + 45.58 = 280.82

280.82/2 = 140.41

each check was 140.41

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What is the value of x in the diagram?
makvit [3.9K]

Answer:

x=5

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 = c^2

x^2+ ( 2x+2)^2 = (2x+3)^2

FOIL the squared terms

x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9

Combine like terms

5x^2+8x +4 = 4x^2 +12x +9

Subtract  4x^2 +12x +9 from each side

5x^2+8x +4  -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9

x^2 -4x -5 =0

Factor

(x-5) (x+1) = 0

Using the zero product property

x=5   x=-1

But x cannot be negative or we would have negative length

x=5

6 0
3 years ago
A regular meal at a restaurant costs $6. A deluxe meal at the restaurant costs $3 than a regular meal. A group visits the restau
wolverine [178]
Their could be 14 people who order the deluxe and 18 people who get regular meals
3 0
3 years ago
Help please. Just need to answer 29-31 then I’m done. Thanks
Free_Kalibri [48]

Answer:

29. See table below

30. See attached graph

31. The slope is m= 0.10

The slope represent the cost for every additional call minute.

Step-by-step explanation:

The cost is $0.5  first minute and $0.10 for any additional minutes

If c is the total cost of a call that last t minutes then;

c= 0.10t + 0.5-----where t is the time the call lasted

29. Use the equation above to create the table as;

t {x}            c{y}

1                  0.6

2                 0.7

3                 0.8

4                 0.9

5                 1.0

6                 1.1

The graph of this plot is as attached , where the coordinates are

{1,0.6} , {2,0.7} ,{3,0.8} ,{4,0.9} ,{5,1.0}, {6,1.1}

The slope can be found using the formula;

m=Δy/Δx

m= 1.1 - 0.6 / 6-1

m= 0.5 / 5 = 0.10

The slope represent the cost for every additional call minute.

5 0
2 years ago
Find the area and perimeter of the shape below
Sladkaya [172]

Solution:

<u>Note that:</u>

  • Area = Base x Height
  • Perimeter = Sum of all sides

<u>Finding the area of the parallelogram:</u>

  • Area = Base x Height
  • => Area = 9.2 x 3.8
  • => Area = 34.96 cm²

<u>Finding the perimeter of the parallelogram:</u>

  • Perimeter = Sum of all sides
  • => Perimeter = 2(4.1) + 2(9.2)
  • => Perimeter = 26.6 cm

Correct option is D.

3 0
2 years ago
Read 2 more answers
The Muller family are on holiday in New Zealand. a. They change some euros (€) and receive $1962 (New Zealand dollars). The exch
Readme [11.4K]

Answer:

a. €1200;$1667.70

Step-by-step explanation:

a. Number of euros

\text{euros} = \$1962 \times \dfrac{\text{1 euro}}{\text{\$1.635}}  = \textbf{1200 euros}

b. Dollars remaining

Dollars on hand                        = $1962.00

Less 15 % spent = 0.15 × 1962 = <u>   -294.30</u>

Balance remaining                   =  $1667.70

6 0
3 years ago
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