PLS HELP:
Remember that there are 5000 inhabitants (people and speech-capable creatures) in the Kingdom. If Cal Amity wants a confidence level of 95% and a margin of error of 2% for his results, how many inhabitants should he survey?

Answer:

[tex](\frac{10}{3}, 1)[/tex]

Step-by-step explanation:

1) In order to solve a system of equations with the elimination method, you need to add or subtract the two equations and "eliminate" variables by canceling out terms. This leaves you with an equation with only one variable to solve. Then, once you solve that equation, you can substitute the answer you got into one of the system's equations to find either the x or y value.

This problem already has one 3x in each equation, so let's focus on canceling that term out, eliminating the x variable. To set up this situation, we need one 3x to be negative, so let's multiply the terms in 3x-6y = 4 by -1, which gets us to -3x + 6y = -4. Now let's "cancel out" those x variables by adding them together.  (This work is shown in the first picture.)

Remember to add the other terms. This leaves us with the equation 13y = 13. By isolating y, we can find its value, which leaves us with y = 1.

2) Next, let's substitute 1 for y in one of the two equations. In this case, I used 3x + 7y = 17. Then, isolate x to find its value:

[tex]3x + 7 (1) = 17\\3x + 7 = 17 \\3x = 10 \\x = \frac{10}{3}[/tex]

Therefore, the answer would be [tex](\frac{10}{3} , 1)[/tex].

Answer:

55 mph

Step-by-step explanation:

Given that:

Total miles of journey = 350 miles

Miles already driven = 75 miles

To cover the rest of the journey in 5 hours, the average speed of travel. Will be:

Recall:

Speed = (Distance left to cover ÷ budgeted travel time)

Distance left to cover : (total miles - distance already driven)

Average speed required = (350 - 75) / 5

= 275 / 5

= 55 mph

Answer:

[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]

[tex]b) \: x = \frac{2}{5} [/tex]

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

B and C

Step-by-step explanation:

i just did this give me brainliest

Answer:

f your number is x, then the difference between that number and 8 would be x-8. Twice that is 2(x-8)

Three times the sum of the number and 3 would be 3(x+3). So, you get the equation:

2(x-8)=3(x+3)

2x-16=3x+9

x=-25

Answer:

8 weekend hours can now be purchased.

Note: The prior information required is:

You purchase 26 "parking hours" that you can use over the next month to park your food truck at the fair. Weekday hours cost $2/hour and weekend hours cost $10/hour.

Step-by-step explanation:

Initial cost of weekday hours = $2/ hour

Since the cost of the weekday hours is tripled, new cost = $2/ hour × 3 = $6/ hour

Total week hours purchased = 26 hours

Let the number of weekend hours be x; number of weekday hours will be 26 - x

Since the budget remains the same, therefore, the total cost of weekday parking hours and weekend parking hours will be equal to $220as expressed below;

(26 - x) × $6 + $10 × x = $220

$10x - $6x + $156 = $220

$4x = $(220 -156)

x = 64/4

x = 8 hours

Therefore, 8 weekend hours can now be purchased

Answer:

0,1,2,3 is the domain

-2,1,2,4 is the range

Given that,

A TV is 27 inch diagonally across the screen.

To find,

The dimensions that best describes a 37 inch TV.

Solution,

Let a and b are length and width of the TV. Let c be the diagonal. Using Pythagoras theorem,

[tex]c=\sqrt{a^2+b^2}[/tex]

If dimensions are 15 x 34,

[tex]c=\sqrt{15^{2}+34^{2}}\\\\=37.16\ inch[/tex]

If dimensions are 16.5 x 32,

[tex]c=\sqrt{16.5^{2}+32^{2}}\\\\=36.003\ inch[/tex]

If dimensions are 17 x 28,

[tex]c=\sqrt{17^{2}+28^{2}}\\\\=32.756\ inch[/tex]

If dimensions are 17 x 32,

[tex]c=\sqrt{17^{2}+32^{2}}\\\\=36.23\ inch[/tex]

It is clear that if dimensions are 15 x 34, the diagonal is 37 inches. Hence, the correct option is (a).

Answer: Im sorry im bad at mafs

Step-by-step explanation:

Answer:

y = 1/2x - 6

Step-by-step explanation:

Here, we want to get the equation of the line that passes through the given points

Mathematically we can write the equation of a line as;

y = mx + b

where m is slope and b is the y-intercept

We start by getting the slope

m = (y2-y1)/(x2-x1)

m = (-1+5)/(10-2) = 4/8 = 1/2

So we have the equation partially as;

y = 1/2x + b

to get c, we use any of the two points and substitute the individual x and y values

-1 = 1/2(10) + b

-1 = 5 + b

b = -1-5 = -6

so the equation is;

y = 1/2x - 6

Answer:

80%

Step-by-step explanation:

Let's call the past exam mark m,

m*105%=84

m*105/100=84

m=84/(105/100)

m=80

Hope this helps!

Answer:

80

Step-by-step explanation:

new value = 84

old value = n

can use percent change formula:  (new value - old value) / old value = 5/100

[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]

cross-multiply (you can simplify 5/100 to be 1/20 first):  20(84 - n) = n

1680 - 20n = n

1680 = 21n

n = 80

Answer:

250%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

x ≈ 58.9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing side length.

Step 2: Identify Variables

POV from the angle measure

Angle = 23°

Opposite Leg = 25

Adjacent Leg = x

Step 3: Solve for x

There is no equation, what is the equation?

Answer:

what is the equation

Step-by-step explanation:

Answer:

The larger number is 98

Step-by-step explanation:

Let the numbers be a and b

a/b= 2/4

4a = 2b ------- 1

a + b = 147 -----2

a= 147 - b -------3

Substitute equation 3 into 1

4(147 -b) = 2b

588 - 4b = 2b

588= 2b + 4b

588 = 6b

b= 588/6

b= 98

Substituting b= 98 into 1

4a = 2(98)

4a = 196

a= 49

The larger number is 98

Answer:

a

Step-by-step explanation:

The segment  RT is a perpendicular bisector and means Δ RSU is isosceles, then the 2 legs are congruent, that is

RS = RU , substitute values

8x = 6x + 5 ( subtract 6x from both sides )

2x = 5 ( divide both sides by 2 )

x = 2.5

Thus

RU = 6x + 5 = 6(2.5) + 5 = 15 + 5 = 20 → a

Answer:

Your answer would be D.

Step-by-step explanation:

D, because if we times the cost of one pound of apple by the number of pounds we have then getting the product we will have $7.20

the answer choice is B.

Answer:

6%

Step-by-step explanation:

Interest = Principal × Rate × Time/100

$3780 = $7000(9)(rate)/100

63000rate = 378000

rate= 378000/63000

rate = 6% per annum (Answer)

Answer:

Answer:

  (d)  1 mile = 10 blocks

Step-by-step explanation:

The ballpark is 8 blocks west and 15 blocks north of Jeff's home. The Pythagorean theorem tells us the straight-line distance is ...

  d² = 8² +15² = 64 +225 = 289

  d = √289 = 17 . . . blocks

The problem tells us this represents 1.7 miles, so the proportion is ...

  blocks/miles = 17 blocks/(1.7 miles) = 10 blocks/mile

The map scale is 1 mile = 10 blocks.

Answer:

$100

Step-by-step explanation:

From the question, we are given the following

Rental price of the truck

percentage off coupon = 50%

Required

Sale tax of the truck rental

Sale tax of the truck rental = 50% of the truck price

Sale tax of the truck rental = 50% of $200

Sale tax of the truck rental = 50/100 * 200

Sale tax of the truck rental = 0.5 * 200

Sale tax of the truck rental = $100

Hence the sale tax of the truck rental is $100

Answer:

[tex]a_{n}[/tex] = (n + 1)²

Step-by-step explanation:

The terms are square numbers with each term shifted to the right by 1

That is 1, 4, 9, 16, 25, 36, .....

Thus to obtain 4 in the first position, then

n = 1 → (1 + 1)² = 2² = 4

To obtain any term add 1 to its position in the sequence, that is

[tex]a_{n}[/tex] = (n + 1)²

Answer:

228 individual cookies.

Step-by-step explanation:

To convert 19 dozen cookies to individual cookies, we first have to identify that:

[tex]dozen=12[/tex]

If a dozen is equal to 12, to solve, we simply must multiply the amount of dozens, which is 19, by a dozen, which is 12:

[tex]19*12=[/tex]

[tex]228[/tex]

Therefore, there are 228 individual cookies.

-

We can check our  work by dividing the individual number of cookies, 228, by dividing buy the amount of dozens, 19, and a dozen, 12:

[tex]228[/tex] ÷ [tex]19=12[/tex]

[tex]228[/tex] ÷ [tex]12=19[/tex]

As you can see, our quotients are the two figures we started with, and when multiplied together, give us 228 individual cookies; therefore, our solution is correct!

Answer:

y  = 3

Step-by-step explanation:

P ( 1 , 3)    and  Q ( 3 , 3 )

The straight line is parallel to the x-axis since the two points have the same y.

The intercept with the y-axis is 3.

The slope-point equation for a line is:

y  = m*x + b             (1)

m is the slope and  b is the intercept with the y-axis

To calculate the slope

m =  (  y₂ -  y₁ ) /  ( x₂  -  x₁ )

m =  3 - 3 / 3 - 1          m   = 0 / 2      m  = 0

therefore, equatio (1) becomes

y  =  0*x + 3

y  = 3

Answer:

A=-28 B=-48 C=45

Step-by-step explanation:

-(7x4)= -28 so your first step is multiply the positive and the negative equals a negative (+)x(-)=(-) second is to multiply the numbers

-(6)x8= -28 same steps for the first

(-5)x(9) convert it to 5x9=45

Answer:

x={-3/2,-13/2}

Step-by-step explanation:

3-2|x+4|+3=1

-2|x+4|+6=1

-2|x+4|=-5

|x+4|=5/2

x+4=5/2

x+4=-5/2

x=5/2-4

x=-3/2

x=-5/2-4

x=-13/2

Step-by-step explanation:

first geometric sequence

3^1, 3^2 ,3^3, 3^4,......

3, 9, 27, 81.......

second

5^1, 5^2, 5^3, 5^4,........

5, 25, 125, 625,........

third

2, 10, 18, 26,.....

which has the difference of 8

fourth

100, 90, 80, 70,......