What is the midpoint of the segment with endpoints (5,2) and (4,1)?

Monthly amount, M = $102×4 = $408.

Also, yearly amount, Y = M×12 = $408×12 = $4896

It is given that 25% of the cost is contributed by Marcus.

Amount Marcus paid

[tex]=\dfrac{\$4896 \times 25 }{100}\\\\= \$1224[/tex]

Therefore, his employer contribution annually for coverage is $( 4896 - 1224)=$3672.

Hence, this is the required solution.

Answer:

the correct equation to this statement is going to be c

Let's set these two numbers as 'a' and 'b'

Now, let's set up equations based on the information known:

Equations

Solve:

  (Equation 1) + (Equation 2)

  2a = 80

     a = 40 -- equation 3

  (Equation 3)

     40 + b = 52

       b = 12

So a  = 40 and b = 12

Hope that helps!

The cost of one book = $ 6 7

Number of books = 1 0 2

The cost of 102 books = $ 67 × 102

= $ 6834

Therefore, cost of 102 books = $ 6834

Answer:

$6,834

Step-by-step explanation:

Given:

Total cost = number of books × cost of one book

                 = 102 × $67

                 = $6,834

Answer:

The square root of 11 is 3.31662479

Answer

3.317

hope this helped

Answer:

$54

Step-by-step explanation:

If Jaine has $378, the opposite of 7 times would be dividing. So all you have to do is 378/7=54.

Rewrite 32 as 32/1

1/4 x 32/1

To multiply 2 fractions, we multiply the nominators together, and the denominator together

1/4 x 32 = 1/4 x 32/1 = 1x32/4x1 = 32/4

Simplify as 8.

So, 1/4 x 32 = 8

Answer:

The probability of getting 6 the first time and an even number the second time is 1/12.

what is probability?

probability is the quantification of possibilities in numbers.

(1) probability of rolling a 6 for the first time:

total possible outcomes = (1,2,3,4,5,6) =6

sample space = 1

probability of getting 6 = sample space/total possible outcomes

probability of getting 6 = 1/6

2)probability of getting an even number

total possible outcomes will be (1,2,3,4,5,6)

sample space  =  (2,4,6) ie 3

probability of this = 3/6 = 0.5

total probability = 1/6*0.5 = 1/12

therefore,

The probability of getting 6 the first time and an even number the second time is 1/12.

to get more about probability refer to:

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

4x-2x-3=7

4x-2x=7+3

2x=10

2x/2 10/2

x=5

Answer:

x=5

Step-by-step explanation:

So we have to combine like terms

4x-3=2x+7

-2x  -2x

2x-3=7

   +3 +3

And now simplify

2x=10

/2   /2

x=5

Answer:

C) 3^3*x^-3

Step-by-step explanation:

okay, so let's just find the numerator and denominator separately

So 27 is equal to 3^3. Numerator done.

Now for the denominator:

You need to know the laws of indices, specifically the one which says that square root of something is the same as to the power of 1/2, where the 1 signifies the power of the number inside the root and the 2 is for the square root. This means that the cube root would be power of 1/3.

So here cube root of x^9, would be equivalent to x^9/3, which can be simplified to x^3/1 ---> x^3.

This leaves us with 3^3/x^3. However, this isn't an option. We need to simplify the divide part of the expression. We can do that by using another law of indices which states that anything to the power of a negative number is the same as 1 over that number. (For example, x^-5 = 1/x^5) If there are numbers in front of the x, then that number would replace the 1, such as the following example: 9x^-3 = 9/x^3.

In this question, our 3^3/x^3 could be changed using this law to give, 3^3*x^-3

I hope this made sense and was helpful :))

Answer:

4y is your answer........

Answer:

back 5 miles south west

Step-by-step explanation:

hope this help have a good day.

Answer:

8%

Step-by-step explanation:

If the block weighs 235 grams, we can do (253.8-235)/235=18.8/235=0.08. Because it's percent, we need to multiply by 100, so the answer is 8%.

Answer:

Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree has a circumference of 0.509 yards, the elm tree is 6281.70 millimeters around, and the poplar has a circumference of 0.000385 miles. There are 30.48 centimeters in a foot. Which tree has the greatest circumference?

a.

oak

b.

ash

c.

elm

d.

poplar

Answer:

Step-by-step explanation:

a.

oak

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

hope it helps rex

Answer:

7k-35=5+10k+2k

or, 7k-35=5+12k

or, -35-5=12k-7k

or, -40=5k

or, k=-40/5

Therefore, k=-1/8

Answer:

-10x (1 - y)

Step-by-step explanation:

Given :-

Side 1 = (2x + 5xy)

Side 2 = (-7x - 10xy)

To Find :-

Perimeter

Formula :-

Perimeter (rectangle) = 2 (Side 1 + Side 2)

Solving :-

Perimeter = 2 (2x + 5xy - 7x - 10xy)

= 2 (-5x - 5xy)

= -10x (1 - y) => [Solution]

Step-by-step explanation:

perimeter: 2 (2x+ 5xy+(-7x-10xy)

= 2(2x+5xy-7x-10xy)

= 4x+10xy-14x-20xy

= -10x-10xy

= -10x(1+y).

Answer: -10x(1+y)

Answer:

34ft squared

Step-by-step explanation:

Since the shaded area is half of the whole rectangle, it would be half of 68. 68/2 = 34, therefore the shaded area is 34ft squared.

Answer:

y=(x-3)^2-2

Step-by-step explanation:

We can see in the graph that the value of y for 1 its 2, so we have to test each equations to see which one is going to give us a 2 whit 1 as the x

Answer:

x = 67°

Step-by-step explanation:

The little square in the corner represents 90° because it is a right-angle.

All angles in a triangle add up to 180°.

90° + 23° = 113°

180° (total) - 113° (whats already there) = 67° (x)

I hope this helps. If you need further explanation, let me know.

- profparis

Answer:

X = 2

Step-by-step explanation:

y = 3x +2

y = x + 6

x + 6 = 3x + 2

6 = 2x + 2

4 = 2x

x = 2

Answer:

the constant of proportionality is 0.2 and it is a proportional relationship

Step-by-step explanation:

2 divided by 10 is 0.2

1 divided by 5 is 0.2

they have the same answer so they are proportional

since they have the answer 0.2 it

is there constant of proportionality

Answer:

256.6 feet

Step-by-step explanation:

     First, I recommend drawing a picture for problems like this. See attached for my example!

-> What does the "angle of elevation" mean? In summary, if your hand has a line going out in both directions horizontally from it, it is the angle "up" to the kite.

     Now, let us find out what formula(s) we will use to solve this problem.

-> We have two of the angles (so we can easily find the third) as well as the hypotenuse

-> We are solving for one of the legs, then adding five feet to it

-> I think I will use the 57° angle and the sine function since we have the hypotenuse and are solving for the opposite side (to the angle 57°)

     Lastly, we will solve! First, I will find the length of the opposite side to the 57° angle.

sin(θ) = [tex]\frac{opposite}{hypotenuse}[/tex]

sin(57°) = [tex]\frac{x}{300}[/tex]

300sin(57°) = x

251.6 ≈ x

x ≈ 251.6 feet

     Now we will add 5 feet to 251.6 since your hand is 5 feet above the ground.

251.6 + 5 = 256.6

The resulting expression for the factor of the provided polynomial with the help of grouping method is,

[tex](4x^2-3)(x^2-5)[/tex]

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation is,

[tex]4x^4 - 20x^2 -3x^2 +15[/tex]

Make the groups of the above equation by taking out, 4x^2 from first two terms and -3 from second equation.

[tex]4x^4 - 20x^2 -3x^2 +15\\4x^2(x^2- 5) -3(x^2 -5)[/tex]

Take out the common group to simplify further.

[tex](x^2-5)(4x^2-3)\\(4x^2-3)(x^2-5)[/tex]

Thus, the resulting expression for the factor of the provided polynomial with the help of grouping method is,

[tex](4x^2-3)(x^2-5)[/tex]

Learn more about polynomial here;

https://brainly.com/question/24380382

Answer:

D. 5-3x = 17

Step-by-step explanation:

The step carried out was subtracting 2 from both sides.

[tex]5 - 3x + 2 = 19 \\ 5 - 3x + 2 - 2 = 19 - 2 \\ 5 - 3x = 17[/tex]

Answer:

8 people

Step-by-step explanation:

234 divided by 18 is 13.

104 divided by 13 is 8.

Answer:

HF, GH, FG largest to smallest

Step-by-step explanation:

HFGHFG

Answer:

2.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.401.2 simplify that and there you go

Answer:

polynomial is a an algebraic expression with 2 or more terms

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

[tex] \huge \sf \: a {x}^{2} + bx + c[/tex]

Step-by-step explanation:

sum of angles in a triangle