A cable installer chargers $52.50 per hour plus a $75.00 service charge. your father's firm hires him to hook up his company's internet service. Find the total charges if it takes the cable installer 4.5 hours to complete the task

Answers

Answer 1

Answer:

So the cable installer charges 52.50 an hour. meaning you would multiply that by whatever amount of hours he will work. so 52.50 times 4.5 hours equals $236.25. Now he also charges an extra fee for the service, So we add 75 dollars onto that making it $311.25.

If you want it in formula form here you go

y represent total amount in the end and x equals amount of hours

y=52.50x + 75

y = 52.50(4.5) + 75

y = 236.25 + 75

y = 311.25

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Jason hiked 15.6 kilometers on Saturday, 18.1 kilometers on Sunday,and 22.7 kilometers on Monday. How many kilometers did he hike during the three days?A. 56.1
B. 48.7
C. 52.9
D. 56.4

Answers

Answer:

The correct answer is D. 56.4

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Kilometers hiked by Jason on Saturday = 15.6

Kilometers hiked by Jason on Sunday = 18.1

Kilometers hiked by Jason on Monday = 22.7

2. How many kilometers did he hike during the three days?

Total of kilometers hiked by Jason = Kilometers hiked by Jason on Saturday + Kilometers hiked by Jason on Sunday + Kilometers hiked by Jason on Monday

Total of kilometers hiked by Jason = 15.6 + 18.1 + 22.7

Total of kilometers hiked by Jason = 56.4

Iodine-125 has a half-life of about 60 days.How many milligrams of a 500 mg sample will remain after 300 days?

1. 0.6 mg
2. 7.8125 mg
3. 15.625 mg
4. 31.25 mg

Answers

We know that Iodine - 125 has a half life of 60 days.
300 : 60 = 5 . It means that it was halved 6 times.
Therefore: 500 mg * 0.5^5 =
= 500 mg * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 =
= 500 mg * 0.03125 = 15.625 mg
Answer: 3. 15.625 mg.

Answer:

Step-by-step explanation:

15.625

In an isosceles triangle the measure of the angle formed by the two congruent sides is 80 degrees. What is the measure of each base angle?

Answers

The measure of each base angle will be 50 degrees.

What is an Isosceles Triangle?

An isosceles triangle is a triangle where two sides are equal to each other which also makes the angles opposite them equal to each other.

The other side that is not congruent is called the base and the angle opposite that is called the vertex angle.

Given that an isosceles triangle, with a vertex angle of 80 degrees we need to find the base angles.

So the base angles in an isosceles triangle are equal, so using the angle sum property of a triangle, we get,

2 × base angles = 180° - 80°

2 × base angles = 100°

base angles = 50°

Hence the measure of each base angle will be 50 degrees.

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Each base angle would be 50 degrees because in an isosceles triangle the base angles have to be the same. Also in any triangle the angles have to add to 180 degrees.

Solve the following equation using the quadratic formulax^2-8x 97 = 0
The answer choices are in the picture

Answers

Answer:

Option B

$x=4+9i$ and $x=4-9i$

Step-by-step explanation:

we have

$x^(2) -8x+97=0$

The formula to solve a quadratic equation of the form $ax^(2) +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^(2)-4ac}} {2a}$

in this problem we have

$x^(2) -8x+97=0$

$a=1\nb=-8\nc=97$

substitute in the formula

$x=\frac{-(-8)(+/-)\sqrt{-8^(2)-4(1)(97)}} {2(1)}$

$x=\frac{8(+/-)√(-324)} {2}$

Remember that

$i^(2) =-1$

$i=√(-1)$

$x=\frac{8(+/-)18i} {2}$

$x=\frac{8(+)18i} {2}=4+9i$

$x=\frac{8(-)18i} {2}=4-9i$

Final answer:

To solve the equation x^2 - 8x + 97 = 0 using the quadratic formula, substitute the coefficients into the formula and simplify the expression. In this case, the equation has no real solutions.

Explanation:

To solve the equation x^2 - 8x + 97 = 0 using the quadratic formula, first identify the coefficients in the equation. The quadratic formula is given by x = (-b ± sqrt(b^2 - 4ac)) / (2a). In this case, a = 1, b = -8, and c = 97. Substitute these values into the quadratic formula and simplify the expression to find the value(s) of x.

Using the quadratic formula, we have x = (-(-8) ± sqrt((-8)^2 - 4(1)(97))) / (2(1)). Simplifying further, we get x = (8 ± sqrt(64 - 388)) / 2. Continuing the simplification, we have x = (8 ± sqrt(-324)) / 2. Since the square root of a negative number is not a real number, the equation has no real solutions.

Therefore, the answer is that there are no real solutions to the equation x^2 - 8x + 97 = 0.

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What is 31/50 as a decimal

Answers

31/50 as a decimal is .62

You just have to divide the two

the final answer is 0.62 // you're welcome ∞

Can anyone help me with this one? i don't understand this worksheet at all.

Answers

12^-6/12^7

When dividing the only thing you do is subtract the exponents from each other.

-6-7

In this case, you have to subtract a number from a negative. -6-7 would actually be -6+-7.

-6+-7= -13

12^-13 is the final answer

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