If you were solving the system of linear equations below by using Elimination, choose the answer that would be the best first step of solving with Elimination.

Answer:

B

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

numerator - denominator

Numerator: w¹³           Denominator: w⁸ · w¹

                   13      -                             (8 + 1)

13 - 9 = 4

Answer:

6 and 14

Step-by-step explanation:

The numbers are in the ratio 3 : 7 = 3x : 7x (x is a multiplier )

adding 1 to smaller number is 3x + 1 and 7 to the larger is 7x + 7, then

3x + 1 : 7x + 7 = 1 : 3

Expressing the ratio in fractional form

[tex]\frac{3x+1}{7x+7}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

3(3x + 1) = 7x + 7

9x + 3 = 7x + 7 ( subtract 7x from both sides )

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus the numbers are

3x = 3(2) = 6

7x = 7(2) = 14

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820

Answer:

32 students take neither of the subjects

Step-by-step explanation:

If we add the 20+18 we get 38. But 10 of the students are counted twice. So subtract 10 from 38 to get 28. This way each of the students that take both subjects are only counted once. Then, we take the total number of students, 60 and subtract the 28 students taking algebra classes to get 32 students.

Answer:

complementary

b = 45 deg

Step-by-step explanation:

Angles b and 45-deg are complementary since their measures ad to 90 deg.

45 + b = 90

b = 45

Answer:

Complementary

45°

Step-by-step explanation:

b + 45° = 90°

b = 90° - 45°

b = 45°

Answer:

The equation of the line is

[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]

Step-by-step explanation:

Equation of a line is

[tex]y = mx + c[/tex]

Where m is the slope

c is the y intercept

y = 2x + 3

Comparing with the above formula

m is 2

Since the lines are perpendicular the slope of the other line is the negative inverse of the original line .

That's

m = - 1/2

Equation of the line using point (1,2) and slope - 1/2 is

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

y - 2 = -1/2x + 1/2

y = -1/2x + 1/2 + 2

The final answer is

[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]

Hope this helps you.

Answer:

D

Step-by-step explanation:

Using the law of radicals/ exponents

[tex]\sqrt{a^{3} }[/tex] ⇔ [tex]a^{\frac{3}{2} }[/tex]

Consider the right side

[tex]\sqrt{729}[/tex] = [tex]\sqrt{9^{3} }[/tex] = [tex]9^{\frac{3}{2} }[/tex]

Thus

[tex]9^{x}[/tex] = [tex]9^{\frac{3}{2} }[/tex]

Since the bases on both sides are equal, equate the exponents, so

x = [tex]\frac{3}{2}[/tex] → D

Answer:

-0.09 miles per minute

Step-by-step explanation:

Answer:

The answer is given below

Step-by-step explanation:

A) Integers are whole numbers (without fraction) that are either positive or negative. If T={x:X is an integer between 1 and 4}, therefore the elements in set T = {2, 3}

B)  Since the elements in set T = {2, 3}, then the number of elements in set T = 2

C) The subsets of set T are {}, {2}, {3} and {2,3}

D) Proper subset of set T are subsets of T that is not equal to T. The proper subsets of T are {2} and {3}

An improper subset of set T contains all the element of set T and a null element. The improper subset of set T are {2,3} and {}

Answer: just graph these two equations

option a: y = 5x + 10

option b: y = 7.5x

and then tell at what number of event would having a card and not having a card is cheaper.

Step-by-step explanation:

the initial cost, $10, is your b value for the equation y = mx + b so yo would start here on the y axis. but for the second option you start at zero since you don't have a b value

Answer:

use this hope help you

option a: y = 5x + 10

option b: y = 7.5x

and then tell at what number of event would having a card and not having a card is cheaper.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

First let x represent the first number.

Let 2x represent the second number.

Let 2x-16 represent the third number.

x + 2x + 2x-16 = 84

5x -16 = 84

5x = 84 + 16

5x = 100

Divide both sides of the equation by 5 so that x can stand alone.

[tex]\frac{5x}{5} = \frac{100}{5}[/tex]

x = 20

∴ First number = x = 20

Second number = 2x = 40

Third number = 2x - 16 = 24

Answer:

$145,550

Step-by-step explanation:

R. Linda Clinic Statement of Owner's equity for the year ended, December 31.

Particulars

$

Beginning capital

151,600

Add additional

investment 7,600

Add net income

for the year 24,250

__________

183,450

Less drawings 37,900

_________

145,550

__________

Capital, December 31 (Ending capital )

The amount of $145,550 is the total owner's equity for the company.

Answer:

The slope is  [tex]s =[/tex] $0.1774 / pounds

Step-by-step explanation:

From the question we are told that

   The weight of the rat is [tex]w_1 = 3.5 \ pound[/tex]

     The cost of feeding the rat per week is [tex]c_1 =[/tex]$4.50

     The weight of a Beagle is  [tex]w_2 = 30 \ pound[/tex]

     The cost of feed a Beagle per week is  [tex]c_2 =[/tex]$9.20

Now the slope can be evaluated mathematically as

           [tex]s = \frac{c_2 -c_1 }{w_2 -w_1 }[/tex]

substituting values

            [tex]s = \frac{9.20 -4.50 }{30 -3.5 }[/tex]

           [tex]s =[/tex] $0.1774 / pounds

Answer:

678

86

8

Step-by-step explanation:

Answer: c, b, a, d

Step-by-step explanation: that is correct

Answer:

The expected value for the insurance company is $200

Step-by-step explanation:

In order to calculate the expected value for the insurance company we would have to make the following calculation:

expected value for the insurance company=expected value live+expected value die

expected value live=Net gain*probability of living

expected value live=$300*0.999=$299.70

expected value die=Net gain*probability of die

expected value die=(-$100,000 + $300)*0.001

expected value die=$-99.70

Therefore, expected value for the insurance company=$299.70-$99.70

expected value for the insurance company=$200

The expected value for the insurance company is $200

Answer:

7x² - 2x + 11

Step-by-step explanation:

(7x² + 6) - (2x - 5) → 7x² + 6 - (2x-5)

7x² + 11 - 2x → 7x² - 2x + 11

Answer: 7x² - 2x + 11

Hope this helped! :)

Answer:

7x^2-2x+11

Step-by-step explanation:

Answer:

24mph

Step-by-step explanation:

Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)

The train's average speed for the entire trip is equal to 25 mph.

Given the following data:

To determine the train's average speed for the entire trip:

First of all, we would find the total distance and total time for the trip respectively.

For total distance:

[tex]Total\;distance = Distance\;A + Distance\;B\\\\Total\;distance = 20+30[/tex]

Total distance = 50 miles

For total time:

[tex]Total\;distance = Time\;A + Time\;B\\\\Total\;distance = 1+1[/tex]

Total time = 1 hour

Mathematically, average speed is given by the formula:

[tex]Average\;speed = \frac{Total\;distance}{Total\;time} \\\\Average\;speed = \frac{50}{2}[/tex]

Average speed = 25 mph.

Read more: https://brainly.com/question/17742679

Answer:

centre=(0,3) radius =5

Step-by-step explanation:

Answer:

[tex]2x + 3y \leq 18[/tex]

Step-by-step explanation:

Given :

fuel x is $2 i.e $2x

fuel y is $3  i.e $2y

As mention in the question the cost will be almost $18 to spending the fuel

So

Linear equation can be written as

[tex]2x + 3y \leq 18\\\ where\ x\geq 0\ and\ y\geq 0[/tex]

Answer:

2x + 3y <= 18, x >= 0, and y >= 0

Step-by-step explanation:

Hello!

[tex]\boxed{ \bf The~value~of~the~expression~is~2.}[/tex]

__________________________________________________

We can solve this expression using the order of operations.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

(In some places it might be called BEDMAS).

(9-3)+4(6-7)

Start by solving the brackets (parentheses).

6 + 4(-1)

Next, we must multiply 4 by -1.

6 + (-4)

This can be written as:

6 - 4

= 2

I think you meant to put 2 instead of 20 in the options.

Answer:

Solution,

ABCD is a rectangle.

Given,

AC= 64 cm

AB= 50 cm

To find: Value of other side of TV

since, ABCD is a rectangle

<B= 90°

[tex] {ac}^{2} = {ab}^{2} + {bc}^{2} \\ {64}^{2} = {50}^{2} + {bc}^{2} \\ {bc}^{2} = {64}^{2} - {50}^{2} \\ {bc}^{2} = 4096 - 2500 \\ {bc}^{2} = 1596 \\ bc = \sqrt{1596} \\ bc = 39.94 \: cm[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

The answer is 10m + 7n - 14

Step-by-step explanation:

Q = 7m + 3n

R = 11 - 2m

S = n + 5

T = -m - 3n + 8

[Q - R] + [S - T] is

[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]

Solve the terms in the bracket first

That's

( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)

( 9m + 3n - 11 ) + ( m + 4n - 3)

Remove the brackets

That's

9m + 3n - 11 + m + 4n - 3

Group like terms

9m + m + 3n + 4n - 11 - 3

The final answer is

Hope this helps you

Answer:

33 square units

Step-by-step explanation:

4 triangles - 1/2 * 3 * 4 = 24

base is 3 * 3 = 9

24 + 9 = 33

Answer:  24) C. SSS only

               26) D. DH = HF

Step-by-step explanation:

24.

Statement                    Reason

1. BD = CA                    1. Given

2. AB = CD                  2. Given

3. AD = AD                  3. Reflexive Property

4. ΔABD = ΔDCA        4. SSS Congruency Theorem

We have no information about the angles so cannot use SAS Theorem.

26.  G H F

      E H D

Line up the letters to find the congruent sides:

⇒  GH = EH

    HF = HD

     GF = ED

Answer:

a. 15 meters.

b. 20 meters.

Step-by-step explanation:

a. The height of the ball at 3 seconds. 20 * 3 - 5 * (3)^2 = 60 - 5 * 9 = 60 - 45 = 15.

The ball will be 15 meters high.

b. The maximum height reached by the ball.

To get that, we need to find the vertex of the parabola. We do so by doing -b/2a to find the x-coordinate of the vertex.

In this case, a = -5 and b = 20.

-20 / 2(-5) = -20 / -10 = 20 / 10 = 2.

Then, we find the y-coordinate by putting 2 where it says "t".

h(2) =  20(2) - 5(2)^2 = (40) - 5(4) = 40 - 20 = 20 meters.

Hope this helps!

Answer:

pen

Step-by-step explanation:

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Suppose an industrial/organizational psychologist is interested in the relationships between job satisfaction, job performance, and job compensation. She has data from five different countries on the average monthly salaries paid to computer programmers. She begins her analysis by converting all of the salary data into U.S. dollars:

Country Average monthly salary   Standard deviation  Original currency

the Czech Republic   $1,059            $158.80             koruna

Latvia                           $790      $118.60                    lat

Korea                       $2,245            $673.60                  won

Romania                          $646          $96.80            leu

the United States          $4,141         $1,242.20        dollar

Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.

a) highest z score

b) lowest z score

c) z score closest to zero

Answer:

a) highest z score

Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the  highest z score .

Step-by-step explanation:

Let us calculate z-score corresponding to each country.

The z-score is given by

[tex]$ z = \frac{x-\mu}{\sigma } } $[/tex]

Czech Republic:

μ = $1,059

σ =  $158.80

[tex]z = \frac{1500-1059}{158.80 } } \\\\z = 2.77[/tex]

Latvia:

μ = $790

σ =  $118.60

[tex]z = \frac{1500-790}{118.60 } } \\\\z = 5.98[/tex]

Korea:

μ = $2,245

σ =  $673.60

[tex]z = \frac{1500-2245}{673.60 } } \\\\z = -1.10[/tex]

Romania:

μ = $646

σ =  $96.80

[tex]z = \frac{1500-646}{96.80 } } \\\\z = 8.82[/tex]

United States:

μ = $4,141

σ =  $1,242.20

[tex]z = \frac{1500-4141}{1242.20 } } \\\\z = -2.12[/tex]

Country                                  z-score

Czech Republic                   2.77

Latvia                                  5.98

Korea                                  -1.10

Romania                                  8.82

The United States                   -2.12

Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the  highest z score .

The range will be the set of all the outputs.

So that's going to be {-8, -3, 5, 7}.

Answer:

Step-by-step explanation:

Let R be a relation from A to B. Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

Hope this helps...

Good luck on your assignment..

Answer:

67°

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the measure of the remote exterior angle. m∠x=(4n−18)°, m∠y=(n+8)°, m∠z=(133−6n)° angle Z being the exterior angle.

Before we can get the exterior angle Z, we need to first calculate the value of n.

In geometry, the sum of interior angles is equal to the remote exterior angle.

m∠z = m∠x + m∠y

(133-6n)° = (4n-18)°+(n+8)°

133-6n = 4n-18+n+8

-6n-4n-n = -18-133+8

-11n = -143

n = 143/11

n = 13°

Since the exterior angle m∠z =(133-6n)°

Substituting n = 11 into the equation will give:

m∠z = 133-6(11)

m∠z = 133-66

m∠z = 67°

The remote exterior angle is 67°

Answer: 55

Step-by-step explanation:

Answer:

2783 pounds

Step-by-step explanation:

He has got 2300. The factor by which that is multiplied is 1,1 (+10%).

The time given is 2 years. We will calculate it by using equation:

[tex]2300*1.1^{2}[/tex]

2783