Two airplanes leave the same airport. One heads north, and the other heads east. After some time, the northbound airplane has traveled 24 kilometers. If the two airplanes are 30 kilometers apart, how far has the eastbound airplane traveled?

Answer:

y = -5x -8

Explanation:

Find b in equation y = mx + b

Insert numbers to find b

-3 = -5· -1 + b

Step 1: Simplify both sides of the equation.

−3=(−5)(−1)+b

−3=5+b

−3=b+5

Step 2: Flip the equation.

b+5=−3

Step 3: Subtract 5 from both sides.

b+5−5=−3−5

b=−8

Insert into equation

y = -5x - 8

Step-by-step explanation:

As Dave's sister baked 3 dozen pies.

So, total number of pies = 3 × 12 = 36

Number of pies = 3×12 = 36

Pies which contained chocolate = 1/3×36 = 12

Pies which contained marshmallows = 1/4×36 = 9

Pies which contained cayenne = 1/6×36 = 6

Pies contained soy nut = 1/12×36 = 3

So,

Pies that had none of these ingredients = 36 - (12+9+6+3)

                                                                   = 36 - 30

                                                                    = 6 pies

So, total 6 pieces are left  that had none of these ingredients.

i.e. 1, 2, 3, 4, 5, 6

Therefore,

Keywords: smallest possible number

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She baked 36 pies. Of these

1/3*36=12 contained chocolate

1/4*36=9 contained marshmallows

1/636=6 contained cayenne

1/12*36=3 contained salted soy nuts.

In order to make the number of pies with none of these ingredients as small as possible, Dave's sister should put all of these ingredients in different pies so that only one of the ingredients is in any pie. If she does this, then 12+9+6+3=30 of the pies will have one of these ingredients. The other 6 pies will have none of these ingredients. At least 6 pies have none of these ingredients.

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Brainliest would be great!!!

Step-by-step explanation:

2x+y = 5 (divided by 2)

If x= 0, y=5

If x= 1, y=3

If x=-1, y=7

So, coordinate points are (0,5),(1,3),(1,7) and so on.

Continue above explanation.

After , draw a graph on x,y axis .

Answer: I used a graphing calculator.

Step-by-step explanation:

Answer:

  M(t) = 741·(1/2)^(t/5730)

Step-by-step explanation:

One way to write an exponential function is this:

  value at time t = (initial value) · (multiplier over period)^(t/period)

Here, the initial value is given as 741 grams, and the time period is 5730 years. The multiplier over that period is 1/2, since half of the quantity remains after that time. The problem statement tells us that "value at time t" is M(t), so we have ...

  M(t) = 741·(1/2)^(t/5730) . . . . . t in years; M(t) in grams

b and d can be eliminated because there are multiple solutions.

answer: A, because it shows all solutions to the equation

Answer: A line that shows the set of all solutions to the equation

Step-by-step explanation:

Given :

y = -4x + 7

The graph is a linear graph with negative slope.

the variable x could be any number , this means there could be as many solutions as possible.

this means that option B is out already.

Also , the equation is  a graph and not a point , so option C and D  are also out.

Option A will definitely fit in.

The area of the semicircle if the radius is 2 in terms of π is 2π.

Area of a circle = πr²

Where,

r = radius

A semicircle is half of a circle.

So,

Area of a semicircle = ½πr²

If r = 2

Area of a semicircle = ½ × π × 2²

= ½ × Π × 4

= 4/2π

= 2π

Hence, the area of the semicircle is 2π.

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The expression to calculate the total cost of a jacket with an original price of x is 0.7x + 5 % of 0.7x

Solution:

Given that at a clothing store, jackets are on sale for 30% off

Sales is 5 %

To find: Expression to calculate the total cost of jacket

Let "x" be the original price of Jacket

Price of jacket after offer = original price of Jacket - 30 % of original price

Price of jacket after offer = x - 30 % of x

Price of jacket after offer = [tex]x - \frac{30}{100}x = 0.7x[/tex]

The total cost of jacket is sum of price of jacket after offer and sales tax

total cost of jacket = price of jacket after offer + sales tax

total cost of jacket = 0.7x + 5 % of 0.7x

Thus the expression to calculate the total cost of a jacket with an original price of x is 0.7x + 5 % of 0.7x

Answer:

2x-y=8

Step-by-step explanation:

(6,4)-(5,2)=(1,2)

L: 2x-y=k

(5,2) -> L, k=8

2x-y=8

Answer:

it's (-3,9 i hope in prey so

Step-by-step explanation:

Answer:

(- 2, - 5 )

Step-by-step explanation:

Note that y = 1 is a horizontal line passing through all points with a y- coordinate of 1

The point (- 2, 7 ) is 6 units above y = 1 (7 - 1 = 6 ), thus

The reflection is 6 units below y = 1, (1 - 6 = - 5 ), hence

P(- 2, 7 ) → P'(- 2, - 5 )

The answer is y = 5x.

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Answer:

y=5x

Step-by-step explanation:

I did the test

Answer:

The cost of one lime is $0.65

Step-by-step explanation:

Let

x ---> the cost of one lemon

y ---> the cost of one lime

we know that

Mickey

[tex]5x+3y=3.70[/tex] ----> equation A

Minnie

[tex]15x+4y=7.85[/tex] ---> equation B

Solve the system by elimination

Multiply by -3 both sides equation A

[tex]-3(5x+3y)=-3(3.70)[/tex]

[tex]-15x-9y=-11.10[/tex] ----> equation C

Adds equation C and equation B

[tex]-15x-9y=-11.10\\15x+4y=7.85\\--------\\-9y+4y=-11.10+7.85\\-5y=-3.25\\y=0.65[/tex]

therefore

The cost of one lime is $0.65

Answer:

The Amount paid after 8 years is $72611.76

Step-by-step explanation:

Given as :

The principal mortgage = p = $31,200

The rate of interest = r = 10.7%  compounded quarterly

The time period of mortgage = t = 8 years

Let The Amount paid after 8 years = $A

Now, According to question

From Compounded Interest method

Amount = Principal × [tex](1+\dfrac{\textrm rate}{4\times 100})^{\textrm 4\times time}[/tex]

Or, A = p × [tex](1+\dfrac{\textrm r}{4\times 100})^{\textrm 4\times t}[/tex]

Or, A = $31,200 × [tex](1+\dfrac{\textrm 10.7}{4\times 100})^{\textrm 4\times 8}[/tex]

Or, A = $31,200 × [tex](1.02675)^{32}[/tex]

Or, A = $31,200 × 2.3273

∴ A = $72611.76

So, The Amount paid after 8 years = A = $72611.76

Hence, The Amount paid after 8 years is $72611.76  Answer

[tex]

x^2-1 < 18 \\

x^2 < 19 \\

x < \sqrt{19}

[/tex]

Hope this helps.

Answer:

$431.36 is budgeted for rent.

Step-by-step explanation:

Given:

Madison’s monthly salary is $1348.

Her budget for rent is 32% of salary.

Now, to find the amount budgeted for rent.

So, salary = $1348.

And, budget for rent = 32% of $1348.

Thus, the budgeted for rent is:

[tex]32\%\ of\ \$1348.[/tex]

[tex]=\frac{32}{100} \times 1348[/tex]

[tex]=0.32\times 1348[/tex]

[tex]=\$431.36.[/tex]

Therefore, $431.36 is budgeted for rent.

To simplify the expressions and arrange them based on the coefficient of n², combine like terms and perform necessary operations. The expressions, in increasing order, are: 3n + 2, 2n³ - n² + 2n, -5n³ + 6n² - n + 5, and 6n³ - n² + n - 6.

To simplify each expression and arrange them in increasing order based on the coefficient of n², we need to combine like terms and perform any necessary operations. Let's go through each expression:

Arranging them in increasing order based on the coefficient of n², we have:

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Answer:

A would be best

Step-by-step explanation:

200 km is roughly 124.2 miles

200 m is about 0.12 miles

200 cm and 200 mm is way too small to be distances between cities because 200 cm is like 78.7 inches

200 mm is like 7.8 inches

124.2 miles or 200 km would be a reasonable distances between two cities.

Answer:

A. 200km is your answer

Step-by-step explanation:

Answer:

y = 12 ; x = 14

Step-by-step explanation:

2x + 7 =3x - 7                   { corresponding angles}

7 + 7 = 3x - 2x

14 = x

x = 14

12y + 1 + 3x - 7 = 180     {co interior angles}

12y + 1 + 3 * 14 - 7 = 180

12y + 1 + 42 - 7 = 180

12y + 36 = 180

12y = 180 - 36

12y = 144

y = 12

Answer:

5

Step-by-step explanation:

The day of the month Christmas falls on is 25th because Christmas falls on 25th December. The square root of 25 is 5 because 5 squared is 25

Answer:

A

Step-by-step explanation:

A limacon curve passes trough the point [tex]\left(\dfrac{\pi}{2},0\right)[/tex], this means when [tex]\theta =\dfrac{\pi}{2},[/tex] the distance [tex]r=0.[/tex]

Note that

[tex]\sin \dfrac{\pi}{2} =1,[/tex]

so, if [tex]r=a+b\sin \theta,[/tex]

then

[tex]r\left(\dfrac{\pi}{2}\right)=a+b=0\\ \\a=-b[/tex]

The only option which shows a = -b is option A.

Answer:

b

Step-by-step explanation:

Answer:

60.59

Step-by-step explanation:

73%=0.73

0.73*83=60.59

60.59 is the number you're looking for.

Hope this helps, if not, comment below please!!!!

the value of blank is 23.

Given series is,

8,15,27,_,20

We have to find the blank number.

Let the no. be x.

Since on observing the above series we find that the ratio of 15 to 8 is equal to the ratio of 27 to 15.

Hence, [tex]\frac{15}{8} =\frac{27}{15}=1.8[/tex]

This follows for the remaining terms also,

So, [tex]\frac{x}{27} =\frac{20}{x}[/tex]

[tex]x^{2} =20\times27\\x=\sqrt{540} \\x=23.23[/tex]

since, 23.23 is not a whole number so we take here 23.

Hence the value of blank is 23.

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Natalie ordered a total of 117 muffins.

A bakers dozen is equal to 13 items. If Natalie orders 9 bakers dozen of muffins, we can calculate the total number of muffins by multiplying 13 by 9.

Number of muffins = 13 * 9 = 117

Therefore, Natalie ordered 117 muffins.

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Answer:

y+6=2(x+6)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=2(x-(-6))

y+6=2(x+6)

Answer:

30% of them preferred hab juice.

Step-by-step explanation:

Given:

A survey of all beings on planet Tott found that 12 beings preferred hab juice to all other juices.

40 beings were surveyed altogether.

Now, to find percent of them preferred hab juice.

Total beings surveyed = 40.

Number of beings preferred hab juice = 12.

So, to get the percent:

[tex]\frac{Total\ beings\ surveyed}{Number\ of\ beings\ preferred\ hab\ juice} \times 100.[/tex]

[tex]=\frac{12}{40} \times 100[/tex]

[tex]=0.3\times 100[/tex]

[tex]=30\%.[/tex]

Therefore, 30% of them preferred hab juice.

Answer:705 cm

Step-by-step explanation:

3525 divided by 5

=705

Ron’s feather flew 705 cm

Ron’s feather flew 705 cm with his magic.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Hermione can lift a feather 3,525 centimeters (cm) into the air. 5 times as high as Ron can lift a feather.

So

We have to 3525 divided by 5;

3525 / 5

=705

Hence, Ron’s feather flew 705 cm with his magic.

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Answer:

125, 119, 113, 107, 101

Step-by-step explanation:

All you have to do is keep subtracting 6 from the numbers.

125 - 6 = 119

119 - 6 = 113

113 - 6 = 107

107 - 6 = 101

Answer:

119,210,337,506,723

Step-by-step explanation:

x³-6 where x=5,6,7,8,9

5³-6=15-6=119

6³-6= 216-6=210

7³-6=343-6= 337

8³-6=512-6=506

9³-6= 729-6=723

Answer:

26 is the number

Step-by-step explanation:

12/13 x = 24

Multiply by 13 on both sides

12x = 24 * 13

12x = 312

Simplify

x = 26

26

Hope this helps :)

Answer:

[tex]12\sqrt{2}\ cm[/tex]

Step-by-step explanation:

step 1

Find the length side of the square

we know that

The area of a square is equal to

[tex]A=b^{2}[/tex]

where

b is the length side

we have

[tex]A=144\ cm^2[/tex]

substitute in the formula of area

[tex]144=b^{2}[/tex]

solve for b

square root both sides

[tex]b=12\ cm[/tex]

step 2

Find the length of the diagonal

Applying the Pythagorean Theorem

[tex]d^2=b^2+b^2[/tex]

see the attached figure to better understand the problem

substitute the given values

[tex]d^2=12^2+12^2[/tex]

[tex]d^2=288[/tex]

square root both sides

[tex]d=\sqrt{288}\ cm[/tex]

simplify

[tex]d=12\sqrt{2}\ cm[/tex]

Answer:

The periodic interest rate is 1.62 %

Step-by-step explanation:

Given:

Annual percentage rate  = 19.66%

Time period  = 30 days

To Find:

Periodic interest rate  =?

Solution:

The periodic interest rate r is calculated using the following formula:

r = (1 + \frac{i}{m})^{\frac{m}{n}} - 1

Where,

i = nominal annual rate

n = number of payments per year i.e., 12 for monthly payment, 1 for yearly payment and so on.

m = number of compounding periods per year

The period interest rate per payment is integral to the calculation of annuity instruments including loans and investments.

Now substituting the values we get

[tex]r = (1 + \frac{19.66}{12})^{\frac{12}{12}} - 1[/tex]

[tex]r = (1 + \frac{19.66}{12})^1 - 1[/tex]

r = (1 +1.638 ) - 1

r = (2.638 ) - 1

r = 1.638 %