Three friends split the cost of Dinner.Dinner was $24.18 How much did each friend s
spend.

I don't know what to do

The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.

The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).

Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).

From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).

After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

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Answer:

A is the answer

Step-by-step explanation:

did the test hope this helps

Balloon mortgage with balloon payment paid in full, will pay off the mortgage in the shortest time.

A mortgage is a loan that is used to purchase real estate (such as a house) with the property being used as collateral for the loan.

Here, we are given that balloon mortgage is a type of loan that requires a lump sum payment at the end of the loan term (the "balloon payment").

Option A involves paying off the entire mortgage balance at the end of the term, which will result in paying off the mortgage in the shortest amount of time.

A 30-year fixed mortgage and a 7/1 ARM will take 30 years and 7 years plus the adjustment period, to pay off the mortgage.

In a Balloon mortgage with a balloon payment refinanced at a lower rate, the mortgage would still be outstanding after the balloon payment, and the borrower will need to refinance to a new mortgage to continue making payments.

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The velocity of the boat relative to shore is 10.82. When A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity. Velocity can be defined as the rate at which something moves in a specific direction. as the speed of a car driving north on a highway or the pace at which a rocket takes off. The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration. Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.

Given

A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.

Velocity,

v = √(1.65)² + (10.7)²

v = √2.722 + 114.49

v = √117.212

v = 10.82

The velocity of the boat relative to shore is 10.82. When A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.

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The sum of the scores is equal to 160.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of scores (data set), we have;

∑x = 20 + 60 + 30 + 50

∑x = 160.

Mean = [F(x)]/n = 160/4 = 40.

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Answer:

B- 7/12 and 17/18

Step-by-step explanation:

Get the fractions under a common denominator.

Out of A, B, C, and D– only B works.

Answer: 2

Steps: You can find the sides using the proportional way. As in the question it is already said the triangles are similar so they have one value that can be added/subtracted/divided/multipled in order to find either of a length. The bigger triangle, if you divide each side by 4, the answer comes.

16/4 = 4 or AB/4 = DE

12/4 = 3 or CB/4= EF

8/4 = 2 or AC/4= DF

So 2 is the length of side DF.

Answer:

The correct answer would be 2

Step-by-step explanation:

You first want to find your Scale factor which would be 12/3 (simplifyed: 4/1). Then you would want to find the side that corresponds with x, which would be 8 and put in fraction form with x at the bottom. Next you want to cross mutiply the two fraction ( 4/1 and 8/X ) to get the equation 4x=8. Then you divide both sides by 4 to get your answer: 2.

The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.

The test statistic can be calculated using the formula below

\(t = \frac{x-\mu}{\sigma / \sqrt{n} }\)

Solving for the mean and standard deviation, we can substitute the values into the above equation which will be

\(t = \frac{x-\mu}{\sigma / \sqrt{n} } = 6.274\)

Using the data from the test statistic, we can calculate the p-value of the data

\(p-value = p(z < 6.274)= 0.0001 = 0.00\)

From the calculation above, the test statistic and p-value of the given data are

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Answer:

15 and -15

Step-by-step explanation:

There are 2000 ways a student can make a selection about one or other of these two subjects

From the question, we have the following parameters that can be used in our computation:

Sociology = 40

Anthropology = 50

The number of ways a student can make a selection is

Ways = Sociology * Anthropology

Substitute the known values in the above equation, so, we have the following representation

Ways = 40 * 50

Evaluate

Ways = 2000

Hence, the number of ways is 2000

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Answer:

$10.12

Step-by-step explanation:

Step one:

given data

we are told that the cost of binoculars is $155.75

and also the sales tax is 7%

Step two:

We want to first solve for the sales tax which is 7% of  $155.75

=7/100* 155.75

=0.070*155.75

=10.12

Cassie will pay a tax of $10.12

Also Cassie will pay a total amount of

= 155.75+10.12

=$165.87

Answer:

105 girls

Step-by-step explanation:

The ratio between girls and boys is 3:4, which means for every  3 girls, there are 4 boys. We are trying to solve for the number of girls, so the ratio will be x:140. First let's divide 140 by 4 to find out the value of each part.

We will get 35 for each part.

Multiply 35 by 3 to get 105. There we find that there are 105 girls for 140 boys. Hope this helped :)

If y is the unknown number, the equation of the line for the given condition is y/3+38=96 and the value of y will be 228.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the condition is "If a number divided by 3 is increased by 38, the result is 96".

Let y be the unknown number.

The equation for the following word problem is,

y/3+38=96

The equation is solved in further steps,

(y+114)/3=96

y+114=96×3

y+114=342

y=342-114

y=228.

Thus, if y is the unknown number, the equation of the line for the given condition is y/3+38=96 and the value of y will be 228.

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Answer:

2 6/10 or 13 / 5 = 2.60000

Step-by-step explanation:

                 33

Simplify   ——

                  10

59    33

—— - ——

10     10

Adding fractions that have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

59 - (33)     13

————  =  ——

   10              5

13          

—— = 2.60000

 5        

Answer:7x + 80

Step-by-step explanation :simplify the expression

Answer:

-4.03846153846

Step-by-step explanation:

done

Answer:

Ameliorate retort, pertaining to preceding albeit contingent interrogate proximates subject to x = 12.

Step-by-step explanation:

Availing, exploiting, albeit maneuvering the Mathematic convention, Order of Operations (OO), the contiguous albeit proximate equation may ascertain as the preeminent imminent:

Groups: Not identified.

Exponents: Not identified, disparaging ₁.

Multiplication: Derived, pertaining to subtraction, 4 · (7/4x) = 4 · 21  7x = 84

Division: Derived, pertaining to multiplication, 7x = 84 ⇒ x = 12

Addition: Aggregate constants ⇒ 5/2x = 3/4x +21

Subtraction: Abate algebraic groups ⇒ 7/4x = 21

The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

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Answer:

42.4 mph

Step-by-step explanation:

5÷212= 42.4mph (average speed)

Answer:

8

Step-by-step explanation:

Total meaning addition, you would use the opposite operation to find the answer.  

28 - 20 = 8

And to check your work you would add;

20 + 8 = 28

which is the brothers total combined age.  

Answer:

8

Step-by-step explanation:

Answer:

A. ​Yes, the point is​ defined, ​limit f(x) exists, and ​limit f(x) 0.

Step-by-step explanation:

Let be \(f(x) = \frac{x^{2}-25}{x-7}\), a rational function is continuous at a value of \(x\) if and only if denominator is different from zero. In particullar, \(x-7 \neq 0\).

Then, we find that function is continuous for every value of \(x\) except \(x = 7\). Thus, the function is continuous at \(x = 0\), which is evaluated below:

\(f(x) = \frac{(x+5)\cdot (x-5)}{x-7}\)

\(f(0) = \frac{(0+5)\cdot (0-5)}{0-7}\)

\(f(0) = \frac{(5)\cdot (-5)}{-7}\)

\(f(0) = \frac{-25}{-7}\)

\(f(0) = \frac{25}{7}\)

Thus, correct answer is A.

Y-intercept = -4

Slope = 2/3

Answer:

y-intercept = -4; slope = 2/3

Step-by-step explanation:

The graph crosses the y-axis at -4, so the y-intercept is -4.

Now we use the y-intercept and the x-intercept to find the slope.

Start at the y-intercept which is point (0, -4). Go up 4 units until you reach the x-axis. Going vertically up is a positive rise of 4 units. Now go right until you reach the x-intercept which is point (6, 0). Going 6 units to the right is a positive run of 6 units.

slope = rise/run

slope = 4/6 = 2/3

Answer: y-intercept = -4; slope = 2/3

Answer:

B

Because me myself i dont understand

Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

The equations will be solved by putting the values of the variables in the bracket.

1. (b + a) = 4; use a = 1 and b = 3

( 1 + 3) = 4

2) c(b + b); use b = 1 and c = 5

5(1 + 1)

= 5 × 2 = 10

3) 4+ pm; use m = 4 and p =3

= 4 + (4 × 3)

= 4 + 12

= 16

4) 5+ pm; use m = 4 and p = 2

= 5 + (2 × 4)

= 5 + 8

= 13

5) m(p + 2); use m = 5 and p = 2

= 5(2 + 2)

= 5 × 4

= 20

6) h+j²; use h = 1 and j = 4

= 1 + 4²

= 17

7) y-(x - 5); use x = 5 and y = 6

= 6 - (5 - 5)

= 6 - 0

= 6

8) 4xy; use x = 5 and y = 2

= 4 × 5 × 2

= 40

9) n(p + 3); use n = 2 and p = 2

= 2(2 + 3)

= 10

10) y +x+x; use x = 3 and y=5

= 5 + 3 + 3

= 11

11) 6+ a-b; use a = 4 and b = 4

= 6 + 4 - 4

= 6

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The answer is :

− 2 8 − 2 5 − 7 2− 5

Answer:

0

Step-by-step explanation:

Answer:

There are 1645 seats in the theatre.

Step-by-step explanation:

The first row has 13 seats and each row has 2 seats more than the previous one which means

13,15,17...

As the terms are increasing with the same difference, d=2 this forms an arithmetic sequence.

where

\(d = 2\\a_1 = 13\\a_2 = 15\\a_3 = 17\)

The rule for an arithmetic sequence is given by:

\(a_n = a_1 + (n-1)d\)

Putting the value of a1 and d

\(a_n = 13+(n-1)(2)\\a_n = 13+2n-2\\a_n = 11+2n\)

We have to find total seats in the theatre for that the 35th term of sequence is required as their are 35 rows.

So,

Putting n=35

\(a_{35} = 11+2(35)\\= 11+70\\=81\)

Now we need to find the sum of the 35 terms

The formula for sum of arithmetic sequence is:

\(S_n = \frac{n}{2}(a_1+a_n)\\putting\ n=35\\S_{35} = \frac{35}{2}(a_1+a_{35})\\S_{35} = 17.5(13+81)\\S_{35} = 17.5(94)\\S_{35} = 1645\)

Hence,

There are 1645 seats in the theatre.

Answer:

Step-by-step explanation:

-3(1+p)=8p-36

-3-3p=8p-36

+36 +3p | +3p +36

Simplifies to

33=11p

divide both side by 11

3=p thus p=3

The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Slope = (40 - 10)/(2 - 1)

Slope = 30/1

Slope = 30

Slope = (160 - 40)/(3 - 2)

Slope = 120/1

Slope = 120.

Factor = 40/10 = 4

Factor = 160/40 = 4

Factor = 640/160 = 4.

Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.

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Answer: 1,190

Step-by-step explanation: