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2 years ago

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Kathy had $45.67 in her checking account. She wrote a check for $65.23. What was her balance after the check was cashed? A. $110

.90 B. $39.56 C. -$19.56 D. -$110.90

1 answer:

aliina [53]2 years ago

3 0

Answer choice (C) -$19.56 is your answer. After the check was cashed she had negative -19.56

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The entire universe of computer games are made up of:

expeople1 [14]

Answer:

Math properties the programmer had put into the software. The majority of programming software is based in math.

Step-by-step explanation:

The other 3 possible answers make no sense.

1. Pixels with red, green, and blue switches - Seriously???

2. Code randomly created by programmers - Seriously???

3. The fundamental properties of physics which consist of numbers and constants (numbers and constants are the same thing and physics has virtually nothing to do with programming)

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2 years ago

The green shaded region does not represent the solution to the system of linear inequalities given below. Explain why not.

Sliva [168]

Answer:

Step-by-step explanation:

The area of solutions of the first inequality lies above an orange straight line.

The area of solutions of the second inequality lies below a blue straight line.

These areas are crossed in the yellow field.

The green field does not meet a condition of the second inequality and therefore does not enter the area of the solution of a system of inequalities

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2 years ago

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A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon-per-minute showerheads. Each m

kykrilka [37]

Answer:

Family will save 3600 gallons of water by replacing the shower-heads.

Step-by-step explanation:

Number of family members in a family = 5

Each member of the family averages shower per day = 8 minutes

Total time for shower = 5×8 = 40 minutes

With a 5 gallon shower-heads each member will use water in a day = 5×40 = 200 gallons

Water consumption in 30 days = 200×30 = 6000 gallons per month

After replacing the shower-heads with 2 gallons per minute shower-heads family will use the amount of water = 40×2= 80 gallons per day

Water used in one month = 80×30 = 2400 gallons

Now water save by the family in 30-day period = 6000 - 2400 = 3600 gallons

Therefore, family will use 3600 gallons less water by replacing the water saving water heads.

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2 years ago

What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.

zvonat [6]

Answer:

$x=-2.38$

$x=-4.62$

Step-by-step explanation:

The question is $(2x+3)^2+8(2x+3)+11=0$

<em>We let $u=2x+3$ , so the equation becomes:</em>

$u^2+8u+11=0$

Where $a=1, b=8, c=11$

Putting it in the quadratic formula, we have:

<u>Quadratic formula:</u> $\frac{-b+-\sqrt{b^2-4ac} }{2a}$

Substituting we have: $\frac{-8+-\sqrt{(8)^2-4(1)(11)} }{2(1)}\\=\frac{-8+-\sqrt{20} }{2}\\=\frac{-8+-2\sqrt{5} }{2}\\=-4+\sqrt{5}, -4-\sqrt{5} }$

<em>We let $u=2x+3$ , so x is:</em>

<em> $u=2x+3\\(-4+\sqrt{5})=2x+3\\x=\frac{-7+\sqrt{5}}{2}=-2.38$ </em>

<em>and</em>

<em> $u=2x+3\\(-4-\sqrt{5})=2x+3\\x=\frac{-7-\sqrt{5}}{2}=-4.62$ </em>

The solutions of the equation is $x=-2.38$ (rounded to 2 decimal places), and $x=-4.62$ (rounded to 2 decimal places)

6 0

2 years ago

Adrian ran from his house to the park at a speed of 5 meters per second. He ran back from the park to his house at a speed of 6

denpristay [2]

Answer:time taken to run from his house to the park is 12 minutes

Step-by-step explanation:

Let x represent the distance between his house and the park.

The speed at which Adrian ran from his house to the park is 5 meters per second.

Distance = speed × time

Time = distance/speed

Therefore, time taken to run from his house to the park would be

Time = x/5

The speed at which he ran back from the park to his house is 6 meters per second.

Time taken to run back from the park to his house would be

Time = x/6

The total time taken to run the whole journey was 22 minutes. Converting to seconds, it becomes 22× 60 = 1320 seconds. Therefore,

x/5 + x/6 = 1320

Multiplying through by 30, it becomes

6x + 5x = 39600

11x = 39600

x = 39600/11 = 3600 meters

Therefore, time taken to run from his house to the park would be

x/5 = 3600/5 = 720 seconds

Converting to minutes, it becomes

720/60 = 12 minutes

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2 years ago