The sum of two numbers, x and y, is 12. The difference of four times the larger number and two
times the smaller number is 18. Whích system of equations should you use to find the two
numbers?
O
A X-y=12
4x - 2y = 18
O B x + y = 12
X-y= 18
C x+y=12
2x - 4y = 18
D x + y = 12
4% - 2y = 18

Answers

Answer 1

Answer:

D

Step-by-step explanation:

"Sum" indicates that we add the two variables so we can eliminate option A because that has x - y = 12 not x + y = 12. We can eliminate option B because the second equation should be 4x - 2y = 18, not x - y = 18. For that same reason, we can eliminate C because the coefficients are swapped. I will assume that in option D, the second equation is 4x - 2y = 18. Since we have eliminated everything else, the answer is D.


Related Questions

What percent of the cube of 5 is 5?

Answers

Answer:

4%.

Step-by-step explanation:

The cube of 5 is 125.

So the required percentage is (5 * 100) / 125

= 500/125

= 4%.

4 percent!!!!!!!!!!!!!!!!!!!!!

9000 is 10 times as much as?

Answers

Answer:

900

Step-by-step explanation:

HEEEELP ME PLEASEEEE :(
(The problem is in the picture)

Answers


Answer/Explanation:
3) 10x + 5y means the price of an adult ticket and any number of people who would purchase one and the price of a child ticket and any number of people who would purchase one
4) the variable “x” is any number of people purchasing an adult ticket and the variable “y” is any number of people purchasing a child ticket
5) since we already know what the variable “y” is from the question above, the parenthesis (5 + 1 + 1.50 + 3) represents the data from the chart: the cost of a child admission ticket, child ride ticket, a pizza slice, and one cotton candy
6) the expression x + y expresses the total number of adults and child who would attend the local fair

i hope this helps! if it does, please click the “brainiest answer” button!

- emily

Plz help fast
Thank you

Answers

Answer:

1.25 is largest, 1.1 is second, 0.924 third, 0.61 fourth, 0.5 fifth, 0.12 sixth.

Step-by-step explanation:

I will edit this post and explain later because you said you need the answer fast. :)

what is the definition of addition

Answers

Answer:

the difinition of addition is adding two things together

Step-by-step explanation:

Answer: Hi!

The definition of addition is when you add two or more more numbers (positive or negative.)

Hope this helps!

Which expression is the simplest form -(4x^3+x^2)+2(x^3-3x^2)

Answers

Answer:

6x^3-5x^2

Step-by-step explanation:

(4x^3+x^2)+2(x^3-3x^2)

4x^3+x^2+2x^3-6x^2

4x^3+2x^3+x^2-6x^2

6x^3+x^2-6x^2

6x^3-5x^2

The simplest form of the given expression [tex](4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )[/tex] is,

[tex]6x^{3} - 5x^{2}[/tex].

Here, given expression is,

[tex](4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )[/tex]

What is simplest form of equation?

The simplest form is the smallest possible equivalent fraction of the number.

Now,

Simplest form of expression,

[tex](4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\\4x^{3} +x^{2} +2 x^{3} -6x^{2} \\6x^{3} - 5x^{2}[/tex]

Hence, The simplest form of the given expression [tex](4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )[/tex] is, [tex]6x^{3} - 5x^{2}[/tex].

Learn more about the simplest form of the expression visit:

https://brainly.in/question/19257508

#SPJ2

Suzanne is cooking a roast. The table at the right gives the temperature F(1). in degrees Fahrenheit, of the roast at several times (in minutes) after she removes the roast from the oven Calculate the average rate of change for the temperature from 10 to 20 minutes. Include units in your answer!​

Answers

Answer:

I use celcius so can u convert if I were to answer ?

Use and accessibility of internet on mobile phone

Answers

Answer:

Through a cellular service provider, the phone connects to the Internet through data transfer the same way a PC does, but with a wireless link. ... Cell phones have an in-built antenna which is used to send packets of digital information back and forth with cell-phone towers via radio waves. so the use of the internet it allows u to download apps,visit sites, (ect.)

Hope this helps_ /(TwT)\_

Evaluate the expression (21 + 3) · 6 - 9

Answers

Answer:

135.

Step-by-step explanation:

(21 + 3) · 6 - 9

*21 + 3 = 24

24 · 6 - 9

**24 · 6 = 144

144 - 9

***144 - 9 = 135

1-1 Relations and Functions Marcus drives 32 miles to work each day. He records the number of minutes it takes him to drive and writes his average speed as the input and the number of minutes as the output. He recorded his information in a table, like the one shown below. Speed (mph) Time (minutes) 60 32 45 43 55 35 50 38 62 31 If Marcus drives no faster than 65 miles per hour, what is the domain that includes all possible average speeds using interval notation? O A. [0, 65] B. [65,-) O C. (0, 65) D. (65,-)​

Answers

Answer:

A. [0, 65]

Step-by-step explanation:

Given that

Distance that Marcus drives every day = 32 miles.

The table having average speed as input and time taken as output is shown below in the table format:

[tex]\begin{center}\begin{tabular}{ c c}Speed(mph) & Time(minutes) \\ 60 & 32 \\ 45 & 43 \\ 55 & 35 \\ 50 & 38 \\ 62 & 31 \\\end{tabular}\end{center}[/tex]

To find:

The domain that includes all possible average speeds using interval notation = ?

Solution:

First of all, let us understand what is a domain of a function.

Domain of a function is set of valid input values that can be provided to the function so that it has a valid output.

If a function is written as:

[tex]y=f(x)[/tex] then values of [tex]x[/tex] are the input given to the function.

In the given question statement, we are given that maximum Average speed attained by Marcus is 65 miles per hour.

That means domain has a maximum value of 65.

Let us learn something about interval notation.

( or ) means the value is not inclusive.

[ or ] means the value is inclusive.

Here 65 will be inclusive.

On the left side of comma, lower value is written and on the right side of comma, larger value is written.

So, domain for the current situation will be:

[0, 65]

0 is taken as the minimum value of domain here, because average speed value can not be negative.

This interval will contain all the possible values of input (average speed) as shown in the above table of values.

Which expression is the radical form of

Answers

Answer:

  see below

Step-by-step explanation:

You know that the denominator of a fractional exponent is the same as a root index, so ...

  [tex]x^{\frac{a}{b}}=\sqrt[b]{x^a}\\\\\boxed{x^{\frac{2}{7}}=\sqrt[7]{x^2}}[/tex]

Cubes are to be stacked in perfectly square layers that can be 5x5 (25 cubes), 4x4 (16 cubes), 3x3 (9 cubes), 2x2 (4 cubes), and 1x1 (1 cube). Each layer above the bottom one must have fewer cubes in it than the layer below it. If you have 54 cubes, and all of them must be stacked, what is the smallest bottom layer you can possibly have?​

Answers

Answer:

25 cubes

Step-by-step explanation:

Conditions are:

Each layer must be a perfect squareThe layers must be smaller starting from the bottom layerThere are 54 cubes and all of them must be stacked

Then the the option is:

5*5 + 4*4 + 3*3 + 2*2 = 25 + 16 + 9 + 4 =54

So the smallest bottom layer is 5*5 = 25 cubes and the layers from the bottom are:

25, 16, 9, 4 cubes

24 13/1,000 as a decimal number

Answers

Answer:

24.013.

Step-by-step explanation:

Simplify: 24 13/1,000 = 24013/1000. Than just use a calculator to make it into a decimal.

Describe how to determine the average change between x=3 and x=5 forbthe function f(x)=3x^3+2

Answers

Answer:

147

Step-by-step explanation:

f(3)=83

f(5)=377

377-83=294

5-3=2

294/2=147

To find the average rate of change, we divide the change in the output value by the change in the input value.

2) We are filling the storage room with packages of toilet paper. The packages measure 18
inches x 13 inches x 9 inches, the warehouse measures 12 feet by 20 feet by 8 feet. Inside
each box are 9 rolls of toilet paper. How many rolls are in this warehouse?

Answers

Answer:

14,175

Step-by-step explanation:

since measurement of packages are used in inches we will convert warehouse dimension in inches to keep the unit same.

1 foot = 12 inch

dimension of room

12 feet by 20 feet by 8 feet

dimension of room in inches

12 feet = 12*12 inches = 144 inches

20 feet = 12*20 inches = 240 inches

8 feet = 12*8 inches = 96 inches

volume of cube = length *width *height

dimension of room = 144 inches * 240 inches * 96 inches

                        = 3,317,760 cubic inches

volume of 1 package = 18 inches * 13 inches * 9 inches = 2,106 cubic inches.

let there be n packages in the room

volume of n package = n*volume of 1 package = 2,106*n cubic inches.

This volume of n packages should be equal to volume of warehouse

2,106*n= 3,317,760

=> n= 3,317,760/2,106 = 1,575.38

since package cannot be in fraction and value after decimal is less than 5 we will round the value to  1,575.

Thus, no of packages is 1,575

1 package has 9 rolls

1,575 package has 9*1575 rolls

thus, no of rolls in the warehouse = 14,175

if the farm needs to pack 12,70,224 litchis in boxes that hold 144 litchis ,how many boxes would be required .​

Answers

For this, we will divide 1,270,224 by 144.

1,270,224 ÷ 144 = 8,821.

For this result, we can conclude that the number of boxes required to pack 1,270,224 litchis is 8,821 boxes.

The answer is 8821 boxes

David washes all 24 windows in his house he washed 6 windows each mr big and 2 windows each afternoon

How many days did it take him to wash all of his windows?

Answers

Answer:

3 days

Step-by-step explanation:

6 in the morning and 2 at the afternoon which mean David washed 8 windows a day.

24/8=3

So it took him 3 days

Hope this helps! :)

(pls mark brainliest)

Answer:

3 days

Step-by-step explanation:

when you divide 24 by 8 you get 3

Which equation represents the function represented by the table? 17 POINTS!!!

Answers

Answer:

  f(x) = -x -1

Step-by-step explanation:

You can make the correct choice by seeing which equation works for the first line of the table.

  f(-1) = -(-1) -1 = 0 . . . . . the first equation works

  f(-1) = -(-1) +1 = 2 . . . not zero

  f(-1) = -1 -1 = -2 . . . not zero

  f(-1) = 1 -(-1) = 2 . . . not zero (same as second equation)

Answer:

f (x)= -x-1

Step-by-step explanation:

3lbs of sour candies cost 4.50. what is the unit price

Answers

Answer:

$1.50

Step-by-step explanation:

1.50 x 3 = 4.50

Answer:

1.50$ per pound

Step-by-step explanation:

Step 1: State what is known

They tell us that 3 pounds cost 4.50$

Step 2: Find how much 1 pound cost

We divide 4.50$ by 3 to find out how much 1 pound costs

4.5/3 = 1.5

Therefore 1 pound of sour candies cost 1.50$

Convert the equation:
[tex]6x ^{2} - 3y ^{2} + 12x - 18y - 3 = 0[/tex]
to the standard form of a hyperbola.

Answers

Answer:

(x+1)²/6 - (y+3)²/12 = 1

Step-by-step explanation:

The standard form of writing the equation of an hyperbola is expressed as;

(x-h)²/a² - (y-b)²/b² = 1 where (h,k) is the centre of the hyperbola.

Given the equation:

6x²-3y²+12x-18y-3 = 0

We are to convert it to the standard form of writing the equation of a hyperbola.

Collecting the like terms will give;

(6x²+12x)-(3y²+18y)-3 = 0

Divide through by 3

(2x²+4x)-(y²+6y)-1 = 0

Completing the square of the equation in parenthesis and adding the constants to the other side of the equation:

(2x²+4x)-(y²+6y+(6/2)²)-1 = 0+(6/2)²

(2x²+4x)-(y²+6y+9)-1 = 9

2x²+4x -{(y+3)²} = 9+1

2x²+4x - (y+3)² = 10

Divide through by 2

x²+2x -(y+3)²/2 = 5

(x²+2x+(2/2)²)-(y+3)²/2 = 5+(2/2)²

(x²+2x+1) - (y+3)²/2 = 5+1

(x+1)²-(y+3)²/2 = 6

Divide through by 6

(x+1)²/6 - (y+3)²/12 = 1

The resulting equation is the required standard form of a hyperbola with centre at (-1, -3)

Use compatable numbers, then divide. 448 ÷ 8 a. 450 ÷ 10 = 45 b. 500 ÷ 10 = 50

Answers

then divide 448 by 2335 B + 10

Answer: B

Step-by-step explanation: I think thats right

ASAP! equation of the line in slope-intercept form

Line through (2,6) and perpendicular to y+4=3x

Answers

Answer:

y = -1/3x + 6[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

First, change the original equation to slope intercept form:

y + 4 = 3x

y = 3x - 4

Now, find the slope of the perpendicular line. It will be the opposite reciprocal:

The opposite reciprocal of 3 is -1/3.

Next, plug this into the slope intercept equation along with the given point, so we can solve for b:

y = mx + b

6 = -1/3(2) + b

6 = -2/3 + b

6.67 = b

So, the equation will be y = -1/3x + 6[tex]\frac{2}{3}[/tex]

Dagogo uploads 3 videos on his channel every month. Each video averages 15 minutes in length and gets
an average of 150,000 new views. The average ratio of likes-to-views of Dagogo's videos is 1 : 5. Dagogo
wants to reach a total of 9,000,000 views on his channel.
Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of video he
uploads?

Answers

Answer:

2,000

Step-by-step explanation:

I just completed it on Khan Academy and it was right. I hope this helps!

Answer:

2000 likes per minute

Step-by-step explanation:

thats the answer on khan

Isiah knows 1/4 is written .025 as a decimal how can you find a decimal for 5/4 without division​

Answers

Answer:

0.25 x 5 = 1.25

This will not require any division. So, this is the answer. Hope this helps!

What is the equation of the line given the two points
(-1,-6) and (-3, -8)​

Answers

Answer:

y=x-5

Step-by-step explanation:

First we need to find the slope.

(-8+6)/(-3+1)

-2/-2

So the slope is 1

Using -1,-6 because we know the slope is 1, if we add 1 to x, we add 1 to y

So the y intercept is 0,-5

The equation is y=x-5

First find the gradient

[tex] \frac{y2 - y1}{x2 - x1} = \frac{( - 8) - ( - 6)}{( - 3) - ( - 1)} = \frac{5}{2} [/tex]

then using the formula y-y1 = m(x-x1)

y - (-6) = 5/2(x-(-1))

y + 6 = 5/2 (x+1)

2y + 12 = 5x + 5

2y - 5x = 5-12

2y - 5x = -7

5x - 2y = 7

so equation of the line is 5x -2y = 7

Sorry if im wrong

A dataset from a government survey contains variables for 87 adults age from 18 to 85. The variables include iron level ( µ g/dL), cholesterol level (mg/dL), and systolic blood pressure (mmHg). The researchers built a multiple regression to predict the mean iron level based on 2 variables, cholesterol level and systolic blood pressure.A partial regression ANOVA table is provided. Complete the ANOVA table aning. Use a significance level of a 0.05. Regression ANOVA Table Source df SSMSF Statistic p-value regression104535226.5 error 84 53813 640.6 Give the degrees of freedom as a whole number, the value of F to at least two decimals, the the p-value to at least three decimals. Then form the conclusion based on your results

Answers

Answer:

Step-by-step explanation:

The complete question tells us  that;

A dataset from a government survey contains variables for 87 adults age from 18 to 85. The variables include iron level ( µ g/dL), cholesterol level (mg/dL), and systolic blood pressure (mmHg). The researchers built a multiple regression to predict the mean iron level based on 2 variables, cholesterol level and systolic blood pressure.A partial regression ANOVA table is provided. Complete the ANOVA table aning. Use a significance level of a 0.05. Regression ANOVA Table Source df SSMSF Statistic p-value regression104535226.5 error 84 53813 640.6 Give the degrees of freedom as a whole number, the value of F to at least two decimals, the the p-value to at least three decimals. Then form the conclusion based on your results.

NOTE: the attached minilab worksheet calculates this problem.

below is the attached image.

Solve for R: 16 + 8(R-6) = 5R + 50.

Answers

Answer:

82/3

Step-by-step explanation:

Hi! I'm back!

16+8r-48=5r+50

8r-32=5r+50

3r=82

r=82/3

Answer:

R = 82/3

Step-by-step explanation:

16 + 8(R - 6) = 5R + 50.

16 + 8 × R - 8 × 6 = 5R + 50

16 + 8R - 48 = 5R + 50

8R - 5R = 50 + 48 - 16

3R = 82

R = 82/3

R = 82/3

Thus, the value of R is 82/3

X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 51, σ = 10, find P(36 ≤ X ≤ 56)

Answers

Answer:

0.6247

Step-by-step explanation:

The formula for calculating a Z-score is Z = (X - μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)

Step 1

Find the Probability of X ≤ 36

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 36 - 51/ 10

Z = -15/10

Z = -1.5

We find the Probability of Z = -1.5 from Z-Table

P(X <36) = P(X = 36) = P(Z = -1.5)

= 0.066807

Step 2

Find the Probability of X ≤ 56

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 56 - 51/ 10

Z = 5/10

Z = 0.5

We find the Probability of Z = 0.5 from Z-Table:

P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146

Step 3

Find P(36 ≤ X ≤ 56)

P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)

= P( Z = 0.5) - P(Z = -1.5)

= 0.69146 - 0.066807

= 0.624653

Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247

Prove using the trigonometric identities the following equation

Answers

Answer:

Step-by-step explanation:

[tex]\frac{(1-cosA)^2+sin^2A}{sinA(1-cosA) }=\frac{1-2cosA+cos^2A+sin^2 A}{sinA(1-cos A)}[/tex]

[tex]=\frac{2-2cos A}{sinA(1-cosA)}[/tex]

[tex]=\frac{2(1-cosA)}{sinA(1-cosA)}=\frac{2}{sinA}=2cscA[/tex]

Find the product 3 − 9 × 3

Answers

Answer:

24

Step-by-step explanation:

The answer is 24 because you have to use PEMDAS which is parenthesis, exponents, multiply and divide left to right (which means whichever one is first), lastly add and subtract left to right.

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