– Using the order of operations, which operation should you perform last to evaluate this expression? (1 x 2.5) + (52-13) + (6.7 - 5) - (98+8) A Addition B Subtraction © Multiplication D Division​

Answers

Answer 1

Considering the order of operations, the operation that should be performed last is given by:

B Subtraction.

What is the order of operations?

The operations inside the parenthesis take precedence over every operation. Then, multiplication/division take precedence over sum/subtraction. If there are only multiplication/division or sum/subtraction, the precedence is from left to right.

In this problem, the expression is:

(1 x 2.5) + (52-13) + (6.7 - 5) - (98+8)

Solving the operations inside the parenthesis, the expression will be given by:

2.5 + 30 + 1.7 - 90

Only addition and subtraction, hence the order is from left to right, and the subtraction is done last, hence option B is correct.

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Related Questions

A roller coaster starts out at a height of 100 feet. It
then drops 43 feet, loops around, drops another 29
feet and finally increases 10 feet to the exit platform.
a. Write an expression to represent this.
b. Then determine the altitude of the exit platform.

Answers

Step-by-step explanation:

a) x = 100 - 43 - 29 + 10

b) 100 - 43 = 57.

57 - 29 = 28.

28 + 10 = 38.

38 feet.

Solve: 2x + 3 = -1
Please help me on this question :)

Answers

Given that 2x + 3 = -1 is a mathematical formula that expresses the equality of two expressions, the value of x in the equation is -2.

What is an Equation?

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.

Given the data in the question;

2x + 3 = -1Value of x = ?

2x + 3 = -1

First, we collect like terms.

2x = -1 - 3

2x = -4

divide both sides by 2
2x/2 = -4/2

x = -4/2

x = -2

Given that 2x + 3 = -1 is a mathematical formula that expresses the equality of two expressions, the value of x in the equation is -2.

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Find the 51st term of the arithmetic sequence 29,9, -11, ...

Answers

Answer:

Step-by-step explanation:

29-9=20

9-(-11)=20

50×-20=-1000

-1000+29=-971

The least common denominator of 7/12, 1/3, and 3/4 is

Answers

Answer:

12.

Step-by-step explanation:

3, 4, and 12 all divide into 12 .

Hello I need help on this math question​

Answers

Answer:

A. 904.32 ft cubed

Step-by-step explanation:

A three-dimensional model of lucia’s apartment is shown. to cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. a rectangular prism is shown. the rectangle has sides lengths of 20 feet and 48 feet. the height of the prism is 10 feet. a smaller rectangular prism is cut out of the side. it has side lengths of 9 feet and 16 feet and a height of 10 feet. how many btus are needed to cool lucia’s apartment? 19,600 btus 19,800 btus 20,400 btus 24,000 btus

Answers

The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.

What is of volume of rectangular prism?

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

[tex]V=w\times h\times l[/tex]

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,

[tex]V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3[/tex]

To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,

[tex]n=8160\times2.5\\n=20400\rm\; btus[/tex]

Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.



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Answer:

20,400 BTUs

Step-by-step explanation:

I have already done Number one but I need help with 2. Please help when you find time to!

Answers

Answer:

Step-by-step explanation:

Formulae

Area of a triangle = 1/2 x base x height

Area of a rectangle = width x length

Question 1

Surface area of square based pyramid = area of base + 4 × area of triangle

⇒ SA = (6 × 6) + 4(1/2 × 6 × 14)

         = 36 + 168

         = 204 yd²

Question 2

Surface area of a cuboid = 2 × base area + 2 × end area + 2 × side area

⇒ SA = 2(10 × 6) + 2(6 × 3) + 2(10 × 3)

         = 120 + 36 + 60

         = 216 mm²

Extra credit question

Surface area of a triangular based prism = base area + 2 × triangle area + 2 × side areas

base area = 3 × 10 = 30 mm²

triangle area = 1/2 × 3 × 2 = 3 mm²

side area = 10 × 2.5 = 25 mm²

⇒ total SA = 30 + (2 × 3) + (2 × 25)

                 = 30 + 6 + 50

                 = 86 mm²

Concept :-

We can solve these questions by using the formulas of area of triangle and rectangle, which will make our work easier. So, we know that,

[tex] \blue{ \underline{ \boxed{ \begin{array}{cc} \sf1. ~Area_{Triangle} = \dfrac{1} {2} \times b \times h \qquad \: \: \: \: \: \: \: \\ \\ \\ \sf2. \: Area_{Rectangle} = Length \times Breadth \end{array}}}} \\ \\ [/tex]

Using these formulas and figuring out the number of triangles and rectangles in each shape, we will solve this question.

Solution :-

1. In this square pyramid, if we closely observe, we will get to know that there are 1 rectangle and 4 triangular faces. Thus,

[tex]\sf \hookrightarrow Area=6 \times 6 + 4( \dfrac{1}{2} \times 6 \times 14) \\ \\ \\ \sf \hookrightarrow Area=36 + 168 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {204 \: yd}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ [/tex]

2. Now, here, we can use the formula of total surface area for cuboid, i.e.

TSA = 2( lb + bh + hl )

[tex]\sf \hookrightarrow Area=2(10 \times 6 + 6 \times 3 + 10 \times 3) \\ \\ \\ \sf \hookrightarrow Area=2(60 + 18 + 30) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area=2 \times 108 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {216 \: mm}^{2} \: \: \qquad \qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Extra Credit Question.

Here, we can find out the total surface area by finding,

Base area i.e. length x breadth ( B.A. )

Side area i.e. length x breadth ( S.A. )

triangular area = 1/2 x b x h ( T.A. )

Now,

TSA = BA + 2 x S.A. + 2 x T.A.

[tex]\sf \hookrightarrow Area=(10 \times 3) + 2(10 \times 2.5) + 2(\dfrac{1}{2} \times 3 \times 2) \\ \\ \\ \sf \hookrightarrow Area= 30 + 2 \times 25 + 2 \times 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area=30 + 50 + 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {86 \: mm}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Researchers randomly surveyed people at two amusement parks, Funland and Thrillville, to find out how many times they visit the park per year. Following are the data from the two surveys.

Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2

Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8

How many more times per year, on average, do people visit Thrillville than Funland?

Answers

On average, people visit Thrillville 2 more times per year than Funland.

Averages

To determine how many more times per year, on average, do people visit Thrillville than Funland, the following calculation must be performed:

Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2 = 4545 / 15 = 3Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8 = 100100 / 20 = 55 - 3 = 2

Therefore, on average, people visit Thrillville 2 more times per year than Funland.

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Please Help! Will Give Brainlest!

Answers

Answer:

height of tress is 20 feet

Step-by-step explanation:

because tan = perpendicular/ height

we see option only 20 feet satisfy it

Answer:

Option D :- 20 feet

Step-by-step explanation:

[tex] \sf \tan ( \theta) = \frac{height}{distance} [/tex]

[tex] \rightarrow \sf \: \tan (\theta) = \frac{20}{50} [/tex]

[tex] \sf \: height \: = 20 \: ft[/tex]

What is the relationship between the ratios? 10/24 and 5/12 Proportional Not proportional (the numbers are fractions)

Answers

Answer:

Proportional

Step-by-step explanation:

[tex]\frac{10}{24}= \frac{5}{12}[/tex] the ratio is 2:1

5 x 2 = 10

12 x 2=24

The ratios are proportional.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

Kallmekrish

Answer:

The given ratios are proportional

Step-by-step explanation:

To consider the fractions as "proportional", they must be equivalent. Let us assume that the fractions are equivalent. Then, we get;

[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]

When using cross multiplication, we get;

[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]

[tex]\implies 10 \times 12 = 24 \times 5[/tex]

When simplified, we get;

[tex]\implies 10 \times 12 = 24 \times 5[/tex]

[tex]\implies 120 = 120 \ \checkmark[/tex]

Therefore, the relationship is proportional.

Factor the GCF: 9x4y − 6x3y2 3x2y3. 3x2y(3x2 − 2xy y2) 3xy(3x2 − 2xy y2) 3xy2(3x2 − 2xy y2) 3x2y(3x2 2xy y2).

Answers

The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

What is factored form?

The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.

We need to write the given expression [tex]9x^4y-6x^3y^2 + 3x^2y^3[/tex] in the factored form, therefore, we will take the common terms out of the given expression,

1. Taking 3 as the common term, we will get,

[tex]9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)[/tex]

2. Taking as the common term

[tex]= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\[/tex]

3. Taking y as the common term,

[tex]= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\[/tex]

Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

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vertically stretched by a factor of 2, then translated
4 units left and 1 unit down

Answers

A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:

g(x) = 2*f(x + 4) - 1

How to write the given transformation?

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x).

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.If N is negative, the shift is downwards.

So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:

g(x) = 2*f(x)

Then we translate it 4 units left:

g(x) = 2*f(x + 4)

Then we translate 1 unit down:

g(x) = 2*f(x + 4) - 1

This is the equation for the transformation.

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Figure #3 (Round to the nearest tenth)
Volume =_____cm^3​

Answers

The volume of a cylinder is pi•r^2•h. In this case we are finding the volume of a half cylinder, so the answer will be divided by two.
The diameter is 4 so the radius is 2.
Pi • 2^2 • 15 = 188.496 / 2 = 94.248

For what values of x will the function f(x) = 5x^2 + x - 6 equal zero?

A)x = -3 or 2

B)x=6/5 or -1

C)x = 3 or -2

D)x = -6/5 or 1

Answers

5x² + x - 6 = 0

Δ = 1² - 4*5*(-6) = 121 = 11²

x' = (-1 - 11) / (2x5) = -12/10 = - 6/5

x" = (-1 + 11) / (2x5) = 10/10 = 1

=> D

The values of x will the function [tex]f (x) = 5x^2 + x - 6[/tex] equal zero are x = - 6/5 and x = 1. Hence option D is true.

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Example; ax² + bx + c = 0

Given that the quadratic equation,

[tex]f (x) = 5x^2 + x - 6[/tex]

Now for the values of x at which the function equals zero, we have to find the zeroes of the function by using the factorization method.

[tex]f (x) = 5x^2 + x - 6[/tex]

[tex]f (x) = 5x^2 + (6 - 5)x - 6[/tex]

[tex]f (x) = 5x^2 + 6x - 5x - 6[/tex]

[tex]f (x) = x (5x + 6) - 1 (5x + 6)[/tex]

[tex]f (x) = (5x + 6) (x - 1)[/tex]

Hence, the value of zeroes,

[tex]5x + 6 = 0[/tex]

[tex]5x = - 6[/tex]

[tex]x = \dfrac{- 6}{5}[/tex]

And, [tex]x - 1 = 0[/tex]

[tex]x = 1[/tex]

So, the value of x is x = - 6/5 and x = 1. Hence option D is true.

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HELPPPPPPPPPPPPPPPPPPP

Answers

Answer:

i dont know use the internet

Step-by-step explanation:

this is the right way

I need help I failing

Answers

Answer:

A and C

Step-by-step explanation:

Both A and C are the same shape, same size, but C is flipped over. If you were to cut out the two shapes and put them over one another, they would be the same. You can also count the blocks that are in the shape itself to see if they match.

The longer side on both has 2.5 blocks in it, the side is two blocks tall, and the smaller line has 1.5 of the block shown.

I'll will implement a sketch to show you what I mean and submit it here. Look at it if you are still confused

I hope this helps!

-No one

PLEASE HELP WORTH 20 Point A is on line EB between points E and B, and ray A F forms adjacent angles EAF with a measure of 3x and FAB with a measure of 2x. Solve for x. X = 5° x = 18° x = 30° x = 36°

Answers

Answer:

x = 36

Step-by-step explanation:

Assuming that line EAF + FAB = 180, we can substitute the lines with their x values to become 3x + 2x = 180 = 5x

Then x = 180/5 = 36

The measure of x for the given angles is 36° so option (D) will be correct.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The angle is the measurement of the angular distance.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

Given that A is in between of line joining by EB so EAB is a straight line and ∠EAB = 180°.

Now,

∠EAB = 180°

∠EAF + ∠FAB = 180°

3x + 2x = 180

5x = 180

x = 36°

Hence "The measure of x for the given angles is 36°".

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4x−4<8 AND 9x+5>23

Doing Khan Academy
HelP!!

Answers

Answer:

x<3 and x>2

Step-by-step explanation:

write the symbols this < and > to get the correct answer

Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the profit, to the nearest dollar, for a selling price of 28.25 dollars

Answers

Answer:

y = -7.235451 x^2 + 402.5542 x - 2382.736

Write the name of the multiplication property that is being represented 8x(9-4) = (8x9)-(8x4) pleasee help

Answers

Answer:

The distributive property

Step-by-step explanation:

I need help. SO confused

Answers

Answer:

The answer would be 1/4% or 25%.

Step-by-step explanation:

The reason why is that there were 20 students in the class. 5 people wanted to work in groups. That is 25% of the students. That is why 25% or 1/4% is your answer.

Evaluate each expression.
a. 1/2(5+13)-4.5
b.(5+11)-(24-15)•(3)
c.6²+3•7-9÷3​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]

Let's solve ~

Expression 1

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{2} (5 + 13) - 4.5[/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{2} (18) - 4.5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 9 - 4.5[/tex]

[tex]\qquad \sf  \dashrightarrow \:4.5[/tex]

Expression 2

[tex]\qquad \sf  \dashrightarrow \:(5 + 11) - (24 - 15) \times 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:16 - (9 \times 3)[/tex]

[tex]\qquad \sf  \dashrightarrow \:16 - 27[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 11[/tex]

Expression 3

[tex]\qquad \sf  \dashrightarrow \: {6}^{2} + (3 \times 7) - (9 \div 3)[/tex]

[tex]\qquad \sf  \dashrightarrow \:36 + 21 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:57 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:54[/tex]

A year has four seasons. What is the probability that a day chosen at random will be in the spring?

Answers

Answer:

1/4; 25%

Step-by-step explanation:

if a year has four seasons we can say that there are 4 possibilities

spring appears once

this means that the probability that a day chosen at random will be in spring would be 1 out of 4

or 25%

Determine the solution to each linear system by using the substitution method
3x+2y=4
2x-y=5

Answers

Answer:

The solution is x = 2

Step-by-step explanation:

i) 3x+2y=4

ii) 2x-y=5

Let's isolate y for the second equation

2x-y=5

2x-5 = y

y = 2x-5

Now use this y and substitute it in the first equation.

3x+2y=4

3x + 2(2x-5) = 4

3x + 4x - 10 = 4

7x / 7 = 14 / 7

x = 2

An integer number is chosen randomly between 1 and 1000. What is the probability that the number picked is divisible by 3 or 5 (i. E. , either 3 or 5 or both)?

Answers

Answer:

Umm..... sorry but.....my answer came.......

The probability that the number picked is divisible by 3 or 5 is 0.555.

What is probability?

Probability sampling is defined as a sampling technique in which the researcher chooses samples from a larger population using a method based on the theory of probability.

An integer number is chosen randomly between 1 and 1000.

The number of numbers divisible by 3, which is;

[tex]\rm \dfrac{1000}{3}=3333.3 = 333[/tex]

The number of numbers divisible by 5, which is;

[tex]\rm \dfrac{1000}{5}=200[/tex]

The probability that the number picked is divisible by 3 or 5 is;

[tex]\rm Probability=\dfrac{Number \ divisble \ by \ 3+ Number \ divisble \ by \ 5}{1000}\\\\ Probability =\dfrac{333+200}{1000}\\\\Probability=\dfrac{533}{1000}\\\\Probability=0.533[/tex]

Hence, the probability that the number picked is divisible by 3 or 5 is 0.555.

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BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?

Answers

there is no figure to find the area of

Geometry question pic Below




Arc JK = ______°
M<1 = ______°

Answers

Answer:

Step-by-step explanation:

There are only blue sweets, green sweets and red sweets in a box.the ratio of the number of blue sweets to the number of green sweets is 2: 7the ratio of the number of green sweets to the number of red sweets is 3 : 1there are less than 140 sweets in the box.what is the greatest possible number of red sweets in the box? your final answer must include the words, 'red sweets'.

Answers

Answer:

According to question if we observe, number of red sweets are the least

It 's only 1%

Step-by-step explanation:

Is (3, 28) a solution to 4x-y=-16

Answers

Answer:

Yes

Step-by-step explanation:

4(3) - 28 = -16

12= -16 + 28

12 = 12

Hope that helps!

help ! 50 points Savanah is shopping for planters for her new plants. Which measurement should she use to determine how much soil each planter will hold?
A. Area
B. Depth
C. Perimeter
D. Volume

Answers

B is the answer you need to know how depth it is
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