x + 5 > 7
it’s inequalities

Answer:

3.5 km between communities AC

Step-by-step explanation:

The idea is to find a common position for all the communities to locate the well

Kindly find attached a rough sketch of the problem for your reference.

Given that

AB=5km

AC=7km

From the diagram we can see that for all three communities to travel equal distance to the common well, the well has to be situated at 3.5km between communities AC.

Also, from the diagram the location of well is the intersection between the diagonals of the rectangular shape.

Answer:

<KLM = 48 degrees

Step-by-step explanation:

According to the instructions, we construct the triangle JKL and extend the side JL to point M. The information about the angles is shown in the attached image.

Recall that the addition of all internal angles of a triangle must give 180 degrees.

The angles we need to complete the addition is angle <JLK, which happens to be the supplementary angles to angle <KLM

Therefore <JLK = 180 - (8 x - 16) = 180 - 8 x + 16 = 196 - 8 x

The we can now solve for "x" in the equation of addition of internal angles of a triangle:

(2 x + 2) + (3 x + 6) + (196 - 8 x) = 180

Combining like terms on the left

- 3 x + 204 = 180

subtracting 204 from both sides:

- 3 x = 180 - 204

- 3 x = - 24

divide both sides by "-3" to isolate x

x = - 24 / (-3)

x = 8 degrees

Now that we know "x", we can find the measure of angle <KLM via its formula:

<KLM = 8 x - 16 = 8 (8) - 16 = 48 degrees

Answer:

The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963x.

Step-by-step explanation:

Key points:

It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.

Two functions are provided are:

f (x) = 0.90x ; the price of an item after the 10% member discount

g (x) = 1.07x ; the total amount customers pay for a purchase after sales tax is applied.

Compute the total amount a member pays for an item with a regular price of x dollars as follows:

T (x) = Discount × Sales Tax

       = 0.90 × 1.07 × x

       = 0.963x.

Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963x.

Answer:

f(-10) = -19

f(2) = 4

f(-5) = -9

f(-1) = 1

f(8) = -5

Step-by-step explanation:

Step-by-step explanation:

A.

Cost of 4 lots for $48,000= 48000*4

=$192,000

Sales made from all 7 lots = 33000*7

= $213,000

Profit =213,000-192,000

Profit =$39,000

Percent profit =(39000/192000) *100

=0.20*100

=20%

B.

Total interest formula=

Principal Loan Amount x Interest Rate x Time

Interest =30000x0.12x5

Interest = $18,000

Monthly payments for 5 years

= 18000/12*5

=18000/60

=$300

Answer:

2.1087

Step-by-step explanation:

0.297

7.1 +

2.1087

Answer:

-3

Step-by-step explanation:

sense its between -2 and -4

*question

Answer:

[tex]22[/tex]

Step-by-step explanation:

If FG= 8

and GH=14

G is a midpoint

To find FH you would add 8 and 14.

[tex]8 + 14 = 22[/tex]

Answer:

add it FH +GH

=8+14

=22 ans.....

Rewrite 1 1/5 as 6/5

Now you have 12 / 6/5

When dividing by a fraction, flip the fraction over and multiply:

12 / 6/5 = (12 x 5) /6 = 60/6 = 10

The answer is 10

Answer:

8

Step-by-step explanation:

Answer:

about 330

Step-by-step explanation:

280 rounded is 330 and 30 is already rounded so you would add 30 plus 330

Answer:

THE ANSWER IS 330 BUT YOU WOULD ADD 300 PLUS 30

Step-by-step explanation:

i  need points :)

Answer: 4 1/6

Step-by-step explanation:

Answer:

0.8046

Step-by-step explanation:

We're asked to calculate the probability that the job will be ready by 1.01 pm

From the question, we can note that the parameter of an Exponential is E(X)= 15

Next, to calculate the third job probability, we will have to use Poisson Distribution with parameter 1/λ

Therefore, E(Y) = 1/15

Then, The third job will be ready for 1:01 pm, and thus E(Y) = 61/15

Therefore, the required probability is

P(X ≥ 3) = 1 - P(X < 3)

= 1 - Poisson(3,4, true)

= 1 - 0.1954

= 0.8046

Answer:

m + 30 ; $36

Step-by-step explanation:

Given that:

Total fruits needed = 15

Fruits needed :

Apple (m) ; cost = $3 per piece

Oranges (o) ; cost = $2 per piece

Amount spent on fruits :

[(cost of apple * number of apples) + (cost of orange *(total fruits - number of apples)]

3m + 2(15 - m)

3m + 30 - 2m

3m - 2m + 30

m + 30

Amount spent if 6 apples is purchased :

m = 6

m + 30

6 + 30 = $36

am not sure but i think its 135$

i divided 45 by 5 to get the pay per hour

then multipled 9 by 15 to get the answer

am not the best in maths so its better u get someone to check if before u submit.

Answer:

675

Step-by-step explanation:

$45✖15 hours=675

so you see what we did here is multiply the money amount by the hour .

Answer:

Irrational Number

Step-by-step explanation:

Given

[tex]Number = 1.56432..[/tex]

Required

Determine which set of number it is

The given number is not a natural number, whole number and it is not an integer because it contains decimal point

The given number is not rational because it can not be expressed as a fraction of two whole numbers.

Hence:

The set of the number is irrational

Answer:

it will cost 5.99

Step-by-step explanation:

because each person getting half and there are 2 peeps so add up the meet to make on pound

Answer:

7739.5

Step-by-step explanation:

The required equation  that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall is d=  [tex]\frac{5.5\times 65}{11}\\[/tex]

From the question given, we are told that when testing fertilizers on a plant that is 11 cm tall, it is growing at a rate of 2 cm/day. This can be expressed as:

We can get the number of days it will take the 11cm plant to grow:

11cm = x

2cm = 1 day

[tex]2x = 11 * 1\\2x = 11\\x = 11/2\\x = 5.5 days\\[/tex]

Since it will take 5.5days for 11 cm plant tall to grow, to calculate the number of days 'd' it will take a 65cm plant tall to grow, we can say:

11cm = 5.5days

65cm = "d"

Cross multiply

[tex]11d = 5.5 \times 65\\d = \frac{5.5\times 65}{11}\\[/tex]

Hence the required equation  that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall is d=  [tex]\frac{5.5\times 65}{11}\\[/tex]

Learn more here: https://brainly.com/question/23557548

Answer:

4.332 x 10 to the 3 power I do believe

Step-by-step explanation:

Answer:

4.332 times 10^3

Step-by-step explanation:

ion kno if thats right but i tried.

Answer:

If you are referring to the angle of the polygon, than it is the same, if you are referring to the angle between the initial and final point about the origin, than it's a right angle. If there is a point(x,y) rotated about the origin(0,0), then the new point will be (y,-x).

The required height of the parallelogram is 2/3. Option B is correct.

Given that,
The area of a parallelogram is 24 square units. One side of the parallelogramis 36 units long. The other side is 4 units long. Which could be the parallelogram's height is to be determined.

A parallelogram is a quadrilateral consisting of pairs of parallel side.

Here,
We have given the area of the parallelogram and the measure of its base. So,
Area of the parallelogram = base * height
                                       24 = 36 * height
                                       height = 2 / 3

Thus, the required height of the parallelogram is 2/3. Option B is correct.
 

Learn more about parallelogram here:
https://brainly.com/question/14984005

#SPJ2

Answer:

Using z score formula:

X = z ∂ + µ

 = 157.833

Step-by-step explanation:

Solution:

Mean = µ = 1262

Standard deviation = ∂ = 117

(a) 28th percentile for the number of chocolate chip.

P( z < z) = 28%

             = 0.28

P( z<- 0.58)  = 0.28

Z = -0.58

By using z score formula:

Z = x - µ /∂

-0.58= x – 117 / 1262

X = (- 0.58)(117) + (1262)

 =  1194.14

(b) Middle 97% of bag.

P(-z < z < z) = 97%

                    = 0.97

P( z < z) – p(z < -z) = 0.97

2p(z < z) -1 = 0.97

2p (z < z) = 1 + 0.97

P(z < z) = 1.97 / 2

            = 0.99

P(z < 2.33) = 0.99

Z ± 2.33

By using z score formula:

Z = x - µ / ∂

X = z ∂ + µ

  = - 2.33 x 117 + 1262

  =989.39

Z = 2.33

X = z ∂ + µ

  =  2.33 x 117 + 1262

 =1533.61

(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate.

By using standard normal table,

The z dist’n formula:

P(z < z ) = 25%

            =0.25

P(z < -0.6745) = 0.25

Z = 0.6745

Using z score formula:

X = z∂ + µ

   = - 0.6745 x 117 + 1262

  = 1183.0835

First quartile = Q1 =1183.0835

The third quartile is:

P(z<z) = 75%

    = 0.75

P(z < 0.6745) = 0.75

Z = 0.6745

Using z score formula:

X = z ∂ + µ

  = 0.6745 x 117 + 1262

= 1340.9165

IQR = Q3 – Q1

     = 1340.9165 – 1183.0835

  = 157.833

Answer: 6 T-shirts

Step-by-step explanation:72/12=6

I don't understand what you are talking about, but I can list you the factor pairs of 16!

16=1,16; 2,8; 4,4

Thise are all the factor pairs

Answer:

1 x 16,

2 x 8

4 x 4

Factors of 16: 1, 2, 4, 8, 16

5/4; it is an inproper fraction in a group of proper ones. it also doesnt have a 2 anywhere.

20/25; it is the only one that isnt simplified. it also has double didgits in both the numerator and denominator

Answer:

What I do not understand what you are asking, can you repeat it pls.

Step-by-step explanation:

Answer:

a.No, Common Bank will save Sharon more money.

Step-by-step explanation:

There are two banks i.e. first state bank and the common bank that should be compared in the table depend upon the prices of both the banks

On seeing it we get to know that the first state bank would charged a fee on a monthly basis i.e. $4 while on the other hand the common bank has no fee on the monthly basis

Also the unsufficient bonds are more cheaper in the common bank if we compared with the first state bank

Moreover, the $7 is charged in the first state bank and $3 charged in the common bank.

Therefore the common bank would become cheaper

Hence, the correct option is a.

Answer:

Sharon wants to open a checking account from which to pay bills. She wants online services, and a debit card, which both banks provide for free. Based upon past experience, she expects to accidentally overdraft the account 1 time per year, due to unexpected charges and miscommunications. She expects no 2nd copies of statements, and to use network ATMs 4 times per month with either bank. She has $3300 in an emergency savings account at First State Bank, and thinks that the balance will be enough to cover overdrafts in the future if automatic transfers are made when needed.

A 4-column table with 5 rows. Column 1 is labeled First State Bank with entries monthly fee, non-sufficient funds fee, second copy of statement, network A T M usage, non-sufficient funds protection from a First State Bank savings account. Column 2 is labeled Description with entries 4 dollars, 36 dollars, 7 dollars, 3 dollars each transaction, 4 dollars on each day that a transfer occurs to cover an overdraft. Column 3 is labeled Common Bank with entries monthly fee, non-sufficient funds, second copy of statement, network A T M usage, non-sufficient funds protection from a Common Bank savings account. Column 4 is labeled Description with entries 0 dollars, 24 dollars, 4 dollars, 2 dollars each transaction, not offered with this account.

Based on the tables of fees, above, if Sharon chooses First State Bank, will it save her money over choosing Common Bank?

Step-by-step explanation:

Edge 2021

Answer:

The value is  [tex]n =271[/tex]  

Step-by-step explanation:

From the question we are told that

  The margin of error is  [tex]E = 5\% = 0.05[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally we will assume that the sample proportion is [tex]\^ p = 0.5[/tex] since we have no information on the proportion of  of customers who click on ads on their smartphones

Generally the sample size is mathematically represented as

      [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>    [tex]n = [\frac{1.645 }}{0.05} ]^2 * 0.5 (1 - 0.5 ) [/tex]

=>    [tex]n =271[/tex]    

Using the z-distribution, as we are working with a proportion, it is found that 271 customers should be sampled.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem:

Then:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.05\sqrt{n} = 0.5 \times 1.645[/tex]

[tex]\sqrt{n} = [10(1.645)][/tex]

[tex](\sqrt{n})^2 = [10(1.645)]^2[/tex]

[tex]n = 270.6[/tex]

Rounding up, 271 customers should be sampled.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

(g-f)(x)

Step-by-step explanation:

You have to subtract expenses from revenue and multiply by yarn to equal profit