Use elimination
X+y =9
X-y=7

Answer:

1. >

2. <

3. =

4. <

Step-by-step explanation:

23.197 > 23.179

3 2/10 which is the same as,

3.2 < 3.243

30.423 = 30 423/1000

18.546 < 18 56/100

Answer:

28 are in the larger class.

Step-by-step explanation:

50/2 = 25 xy

25+ 3 = 28 larger

25-3 = 22 smaller

x = 28

The larger class has 28 students, and the correct option is 28.

Let's assume the number of students in one class is x.

According to the given information, the other class has 6 more students than this class, which means the number of students in the other class is x + 6.

To find the total number of students, we add the number of students in both classes: x + (x + 6) = 50.

Combining like terms, we have: 2x + 6 = 50.

Next, we subtract 6 from both sides of the equation: 2x = 44.

Finally, we divide both sides of the equation by 2 to solve for x: x = 22.

So, there are 22 students in one class, and the other class has 22 + 6 = 28 students.

Therefore, the larger class has 28 students, and the correct option is 28.

To know more about equation:

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9514 1404 393

Answer:

  $776.73

Step-by-step explanation:

Eleanor's monthly costs will total ...

  loan + ins + fuel + repairs = $416.74 +459.95/6 +200 +1000/12 = $776.73

Eleanor should budget $776.73 per month for car expenses.

Answer: the answer is b

Answer:

no solution?

Step-by-step explanation:

2(5)-5=5(5)+7+3(5)        <-- plug in 5

10−5=25+7+15

5=32+15

5=47

Answer:

  B.  x ≤ 1 or x > 6

Step-by-step explanation:

Subtract 8 and divide by 2. (Same steps for both inequalities.)

  2x +8 ≤ 10

  2x ≤ 2

  x ≤ 1

__

  2x +8 > 20

  2x > 12

  x > 6

The solution is x ≤ 1 or x > 6.

The expression cos240 degrees is equivalent to cos120 degrees

Answer: B. cos240°

Step-by-step explanation:

Took the Test/Exam on Edge

Answer:

The p-value of the test statistic is 0.2019.

Step-by-step explanation:

Test if there is evidence at the 0.02 level that the medicine relieves pain in more than 384 seconds.

At the null hypothesis, we test if it relieves pain in at most 384 seconds, that is:

[tex]H_0: \mu \leq 384[/tex]

At the alternative hypothesis, we test if it relieves pain in more than 384 seconds, that is:

[tex]H_1: \mu > 384[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

384 is tested at the null hypothesis:

This means that [tex]\mu = 384[/tex]

For a sample of 41 patients, the mean time in which the medicine relieved pain was 387 seconds. Assume the population standard deviation is 23.

This means that [tex]n = 41, X = 387, \sigma = 23[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{387 - 384}{\frac{23}{\sqrt{41}}}[/tex]

[tex]z = 0.835[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 387, which is 1 subtracted by the p-value of z = 0.835.

Looking at the z-table, z = 0.835 has a p-value of 0.7981.

1 - 0.7981 = 0.2019

The p-value of the test statistic is 0.2019.

Answer: 12 x 6

Step-by-step explanation:

36/2=18

3x=18

x equal 6

6x2=12 as it is two times

Answer:

Following are the solution to the given points:

Step-by-step explanation:

For question a:

The chart is called a cumulative frequency polygon.

For question b:

The total number of sold homes in last month= 250

For question c:

The class intervels are:

[tex]\to 100-50 = 50[/tex]

For question d:

[tex]\to[/tex] 240000 (75% of houses)

For question e:

[tex]\to[/tex] 230000

Answer:

The ratio between two values A and B is just the quotient between these two values:

ratio = A/B

a) $280 in 7m

Here the ratio is:

$280/7m = $40/m

This also can be read as:

$40 per meter.

b) 105 miles in 2 hours

Here the ratio is:

105mi/2h = 52.5 mi/h

This also can be read as:

52.5 miles per hour

c) $33 for 5lb

The ratio is:

$33/5lb = $6.6/lb

This can be read as:

$6.6 per pound.

d) 50 pages in 2 hours

the ratio is:

(50 pages)/2h = 25 pages/h

this can be read as:

25 pages per hour.

Answer:

C. tan K=31/24

Step-by-step explanation:

Relations in right triangles:

The sine of an angle is the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is the length of the adjacent side of the angle divided by the length of the hypotenuse.

The tangent of an angle is the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this question:

Sides 24 and 31.

Side opposite to K: 31

Side adjacent to K: 24

Then

tan K=31/24

And the correct answer is given by option D.

Answer: 59,500

Step-by-step explanation:

Given

For 10,000 residents, 17,000 police officers are hired

The ratio of Police officers and citizens is constant

So, for 35,000 citizens suppose x officers are hired

[tex]\Rightarrow \dfrac{17,000}{10,000}=\dfrac{x}{35,000}\\\\\Rightarrow x=1.7\times 35,000\\\\\Rightarrow x=59,500[/tex]

Thus, 59,500 officers are required.

Answer:

28.0125 cm^2 rounded to 28.0 cm^2

Step-by-step explanation:

Area = a*b*sin(c)*1/2

Area = 7 * 13 * sin(38) * 1/2

Area = 91/2 * 0.61566...

Area = 28.0125...

Answer:

90

Step-by-step explanation:

the colums add up to angle 1, which make angle 2 adjacent.

9-9=0

Answer: correct answer is B.

Step-by-step explanation:

in the small triangle

taking 60 as reference angle

b = [tex]10\sqrt{3}[/tex]

so

tan 60 = p/b

[tex]\sqrt{3}[/tex] = p/([tex]10\sqrt{3}[/tex])

30 = p

so

[tex]h^2 = p^2 + b^2\\ = 30^2 + (10\sqrt{3} )^2\\\\ = 900 + 300\\ = 1200\\so h^2 = 1200\\then, h = \sqrt{1200} \\ = 20\sqrt{3} \\so\\in bigger triangle\\\\h = x[/tex](taking 45 as reference angle)

so

in bigger triangle

b = 20[tex]\sqrt{3}[/tex]

so

tan 45 = p/b

1 = p/(20[tex]\sqrt{3}[/tex])

p = 20[tex]\sqrt{3}[/tex]

so h^2 = p^2 + b^2

so

h^2 = (20[tex]\sqrt{3}[/tex])^2 +( 20[tex]\sqrt{3}[/tex])^2

= 1200 + 1200

h^2 = 2400

h =[tex]\sqrt{2400}[/tex]

=20[tex]\sqrt{6}[/tex]

so x = 20[tex]\sqrt{6}[/tex]

Answer:

Step-by-step explanation:

Total number of outcome are  

1320

.

Explanation:

It is apparent that there are  

12

ways in which the post of President can be filled. Once President's post is filled, there are  

11

ways to fill the post of Vice President and then  

10

ways to fill the post of Secretary,

Hence a total of  

12

⋅

11

⋅

10

or  

1320

ways or outcomes.

Answer:

1320

Step-by-step explanation:

Answer:

its the 4 one

Step-by-step explanation:

Answer:

i think you need to work on your decimals mate

Step-by-step explanation:

Step-by-step explanation:

ex : Cow Produce Milk 2.5 Litters/day

1 Month = 30 days(Assume in 30 days )

for second Months

2.5 litters/day x 30 days

= 75 Litters/Month

Answer:

See below

Step-by-step explanation:

-3x+2y = -6 [1]

-2x + y = 6 [2]

For [1], solve for X.

-3x + 2y = -6

-3x = -6 - 2y

3x = 6 + 2y

x = 2 + (2/3)y

Plug x into [2]

-2(2+(2/3)y) + y = 6

-4 - 4/3y + y= 6

-4/3y + y= 10

-1/3y = 10

y = -30

9514 1404 393

Answer:

  (x, y) = (-18, -30)

Step-by-step explanation:

When choosing to solve by substitution, it is convenient if one of the variables has a coefficient of 1 or -1. Here, y has a coefficient of 1 in the second equation, making it easy to rearrange that equation to give an expression for y:

  y = 2x +6 . . . . . add 2x to the second equation

Using this expression, we can substitute for y in the first equation:

  -3x +2(2x +6) = -6

  x + 12 = -6 . . . . . . . . . simplify

  x = -18 . . . . . . . . . . . subtract 12

  y = 2(-18) +6 = -30 . . . . substitute into the equation for y

The solution is (x, y) = (-18, -30).

Answer:

Answer

Step-by-step explanation:

please like and mark brainlist

Answer:

There are 75 ways to form the committee.

Step-by-step explanation:

The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Considering the eldest has to be there, 2 men from a set of 6 and 4 boys from a set of 5(excluding the youngest), so:

[tex]T = C_{6,2}C_{5,4} = \frac{6!}{2!4!} \times \frac{5!}{1!4!} = 3*5*5 = 75[/tex]

There are 75 ways to form the committee.

[tex] \underline{ \huge \mathcal{ Ànswér} } \huge: - [/tex]

Average of b and c is 8, that is

[tex]➢ \: \: \dfrac{b + c}{2} = 8[/tex]

[tex]➢ \: \: b + c = 16[/tex]

[tex]➢ \: \: c = 16 - b[/tex]

now let's solve for average of c and d :

[tex]➢ \: \: \dfrac{c + d}{2} [/tex]

[tex]➢ \: \: \dfrac{16 - b + 3b - 4}{2} [/tex]

[tex]➢ \: \: \dfrac{12 + 2b}{2} [/tex]

[tex]➢ \: \: \dfrac{2(6 + b)}{2} [/tex]

[tex]➢ \: \: b + 6[/tex]

Therefore, the average of c and d, in terms of b is : -

[tex] \large \boxed{ \boxed{b + 6}}[/tex]

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

Answer:

b+6

Problem:

If the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?

Step-by-step explanation:

We are given (b+c)/2=8 and d=3b-4.

We are asked to find (c+d)/2 in terms of variable, b.

We need to first solve (b+c)/2=8 for c.

Multiply both sides by 2: b+c=16.

Subtract b on both sides: c=16-b

Now let's plug in c=16-b and d=3b-4 into (c+d)/2:

([16-b]+[3b-4])/2

Combine like terms:

(12+2b)/2

Divide top and bottom by 2:

(6+1b)/1

Multiplicative identity property applied:

(6+b)/1

Anything divided by 1 is that anything:

(6+b)

6+b

b+6

Answer: 0.555

Step-by-step explanation:

Answer:

The warranty period should be of 30 months.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Eco-Cook rice cooker has a mean time before failure of 38 months with a standard deviation of 6 months.

This means that [tex]\mu = 38, \sigma = 6[/tex]

What should be the warranty period, in months, so that the manufacturer will not have more than 8% of the rice cookers returned?

The warranty period should be the 8th percentile, which is X when Z has a p-value of 0.08, so X when Z = -1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.405 = \frac{X - 38}{6}[/tex]

[tex]X - 38 = -1.405*6[/tex]

[tex]X = 30[/tex]

The warranty period should be of 30 months.