what is the correct order of operations for the expression below

Answer:

C

Step-by-step explanation:

(103 + 5) * 6 = 648

By using the points (2, 30) and (4, 60) that we can see on the graph, we can see that the linear equation that models the data is:

y = 15*x

A general linear equation is of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), the slope is given by:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we can use two points that appear on the graph, I will use the first two ones:

(2, 30) and (4, 60)

Then the slope is:

a = (60 - 30)/(4 - 2) = 30/2 = 15

Thus, the line is of the form:

y = 15*x + b

To find the value of b we use the point (2, 30), replacing these values we get:

30 = 15*2 + b

30 = 30 + b

30 - 30 = b

0 = b

We conclude that the linear equation that models the data is y = 15*x

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To subtract this polynomial, we would have to open the bracket

Remember, we only add and subtact directly , Algebraic characters of the same type only

and the same power only.

Given:

The rate of return when 25 shares of Stock

A. purchased for $30/share, are sold for $825. The commission on the sale is $6.

Required:

What is the rate of return?

Explanation:

First step is to find the shares of stock price:

Shares of stock price=25 shares×$30/share

Shares of stock price= $750

Second step is to calculate the total sold price:

Total sold price= $825+$6

Total sold price= $831

Third step is to calculate the Rate of return:

Answer:

Rate of return is 10.8%

some fhdf

djfsirsisdsjfsd

fdfjjjf9d094--djjf9939=3030395944./445335

Notice that if a = 11 and b = 13 are two sides of the triangle, then:

since the larger side measures 25 units, then we cannot write a triangle with the given measures, since a + b cannot be less than the larger side. Therefore, it is not a triangle

Answer:

Step-by-step explanation:

$1.25 for 1 slice is the unit rate because a unit rate is the measure of a single unit, which in this case is 1 slice.

The monthly deposit that is required to achieve the desired monthly yield at retirement is $1,056.71.

An annuity is a series of payment that is made over a period of time. The annuity in this question would last for 25 years. When an investment is compounded monthly, it means that the investment would grow at an exponential rate once in a month.

The formula that would be used to determine the monthly payment is:

Monthly payment = future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

$610,823.48 ÷ [{(1.004^300) - 1} / 0.004] = $1,056.71

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The area of a square inscribed in a circle of a radius square root 70 is 140 units².

A square is inscribed in a circle if its four vertices are on the circle's circumference. When a square is inscribed in a circle, the diameter of the circle must be equivalent to the diagonal of the square

Given:

The radius of the circle = √70 units

Let the side of the square inscribed in the circle be x units.

Diagonal of the square = [tex]\sqrt{x^{2} + x^{2} }[/tex] = [tex]\sqrt{2} x[/tex]

Diameter of the circle = 2 × √70 ≅ 16.7 units

Now,

Diagonal of the square = Diameter of the circle

[tex]\sqrt{2} x = 16.7[/tex]

[tex]x = \frac{16.7}{\sqrt{2} }[/tex]

x ≅ 11.83 units

So, the Area of the square = (side)² = x²

                                     = (11.83)²

                                    ≅ 140 units²

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The area of 1 1/2 meters wide and 2 meters long carpet is 3 meters².

As per the known fact, the area of rectangular object is calculated by performing multiplication of value of two sides. These two sides are length and width. Firstly converting width from mixed fraction to fraction -

Width = (2×1 + 1)/2

Width = 3/2 meters

Area = length × width

Keep the values in formula to find the value of area of rectangular flying carpet

Area = 3/2×2

Cancelling 2 as it is common in both numerator and denominator

Area = 3 meters²

Thus, the area of rectangular flying carpet is 3 meters².

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The probability of getting a 4 again means is given by the product of the probabilities to obtain 4 twice (because in this case we have independent events)

(a) P(4I4) = P(4)*P(4) = (1/6)(1/6) = 1/36

(b) P(1l4) = P(1)*P(4) = (1/6)(1/6) = 1/36

In the previous calculations we have considered that the probability for getting any number is the same and it is 1/6.

Answer:

68

Step-by-step explanation:

1 foot = 12 inches

Multiply 5 by 12 inches

5 feet = 60 inches

Add the extra 8 inches

60 + 8 = 68 inches

George is 68 inches tall.

Answer:

Step-by-step explanation:

George is 5 feet and 1 foot equals 12 inches, so do 12x5 + the actual 8 inches

12x5=60

60+8=68 inches total

area = 1/2 ac sin B

1/2 ( 22) ( 17) * (sin 95)

187 sin 95

186.2884085 ft^2

Answer:

C) 3

Step-by-step explanation:

2(x - 8) = -4x + 2

2x - 16 = -4x + 2

6x - 16 = 2

6x = 18

x = 3

To find the rate of change of its elevation we can derive the position function:

The rate of change of its elvation when x=22 is

That represents the slope of the tangent line to the function at x=22.

The domain of the graph is [0,14] and the range of the graph is [0, 7]

In this question, we have been given a graph of height of a falling object.

In this graph, x-axis represents the time in seconds and y-axis represents the height in meters.

We know that, the domain of a graph consists of all the input values which are on the x-axis and the range is the set of possible output values, which are shown on the y-axis.

In this graph we can see that the input (time) takes the values between [0, 14] and the output (height) has values in the interval [0, 7]

Therefore, the domain of the graph is [0,14] and the range of the graph is [0, 7]

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The cost of lamp and everything else will be equal to $85.25 and $49.75 respectively.

This question can be solved by converting it into the form of linear equation. A linear equation can be expressed in the form of y = ax + b where a, b are coefficients and x, and y are independent and dependent variables. We know the total sale which is equal to $135. Let us assume the cost of everything else as x. Now, the cost of lamps is $35.50 more than cost of everything else that is equal to x + 35.50. Now, the linear equation will be written as

135 = x + (x + 35.50)

135 = 2x + 35.50

=> 2x = 99.5

=> x = $49.75 which is the cost of everything else and cost of lamp = x + 35.50 = $85.25.

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Answer:

-0.5,-1/5,0.7,3/4 its correct

Answer:

-0.5, -1/5, 0.7, 3/4

Step-by-step explanation:

We can convert the fractions into decimals.

-1/5 = -0.2

3/4 = 0.75

-0.5 is the least, then -1/5, then 0.7, and lastly 3/4.

Hope this helps!

P.S, Can I get a brainliest if this is right? Thanks!

Answer:

-3

Step-by-step explanation:

To find the answer, you need to use the formula y2-y1/x2-x1.

2-17/2-(-3)

2-17=-15

2-(-3)=5

-15/5=

-3

Hope this helps :D

In order to find the value of x, consider that triangles PQR and PST are similar. Then, you have the following equivalence:

PQ/PS = PR/PT

Where:

PQ = x

PS = 45m

PR = 16m

PT = 36m

replace the previous values of the length of the segments and solve for x, just as follow:

x/45 = 16/36 multiply by 45 both sides

x = (16/36)45

x = 20

Hence, the value of x is x = 20

Answer:

A = (166+s)/3

Step-by-step explanation:

Average test-score:

Sum of all scores divided by the number of tests.

In this question:

First two tests: 77 and 89.

Third test: s

Number of tests: 3

Average:

Finding the sum: 77 + 89 + s = 166 + s

The average is:

A = (166+s)/3

1) Since the Perimeter (2P) is the sum of all sides of a rectangle. And this rectangle has 526m w and 78 m. And also, a rectangle is a parallelogram that has the property of having a pair of congruent sides. Then

2) Then we can state:

2p = 526 +526+78+78

2p =1052+156

2p= 1208 meters

the lines are parallel.......

Answer: [tex]\sqrt{113}[/tex]

Step-by-step explanation:

You use the Pythagorean Theorem for problems like this.

1. First you figure out the distance between the points.

2. As seen in the picture, the yellow line is 7 units long and the blue line is 8 units long.

3. From here you substitute the numbers into the Pythagorean Theorem. [tex]7^{2} +8^{2} =c^2[/tex]

4. Now solve. This gives you [tex]\sqrt{113}[/tex]

Answer:

50 dress sandals

Step-by-step explanation:

Let D = number of dress sandals and C = number of casual sandals

Customers bought twice as many casual sandals as dress sandals. In algebraic form this would be

S = 2D  (number of casual sandals = 2 times number of dress sandals)

Since casual sandals sell for $12 each and dress sandals for $22 each, the total sales for S casual and D dress sandals

= 12S + 22D = 2300 (given)

Substitute S = 2D into the above equation to get
12 (2D) + 22D = 2300

24D + 22D = 2300

46D = 2300
D = 2300/46 = 0

Answer: Customers bought 50 dress sandals

Given:

a logarithm is given as

Find:

we have to expand the given logarithm expressionusing properties of logarithm.

Explanation:

we know from the properties of logarithm that

we will use above properties to expand the given logarithm expression as follows

Therefore, the expansion of the given logarithm is 5 log(z)+ log(x)

We have that the general equation for the volume of a rectangle prism is:

where l represents the length of the base, w represents the width of the base and h represents the height of the prism.

Since we need that the volume be equal to 98ft³, we have that the measures for the prism are:

therefore, the prism would look like this:}

SOLUTION:

We are to calculate the shaded area of the given shape.

CONCEPT:

This is a triangle that a rectangle was cut out from.

To calculate the shaded area of the given shape, we are to find the area of the triangle and then subtract the area of the recangle that was cut out.

The shaded area = Area of the triangle - Area of the rectangle