Margaret prepared and cooked the food
for their Thanksgiving feast for 5 hours and
25 minutes. She started at the time shown
below. What time did she finish

Solving a system of equations, we can see that:

Let's define the variables:

With the given information, we can write:

P*8h = D

C*7h = D

C = 2*P - 144mi/h

So we have a system of 3 equations, where D is the distance in the problem.

With the first and second equations we can write:

P*8h = D = C*7h

Isolating P, we get:

P = C*(7/8)

Now we can replace that in the last equation:

C = 2*P - 144mi/h

C = 2*C*(7/8) - 144mi/h

And now we can solve that for C.

C - 2*(7/8)*C = - 144mi/h

C*(1 - 14/8) = -144mi/h

C*(8/8 - 14/8) = - 144mi/h

C*(6/8) = 144mi/h

C = (8/6)*144mi/h = 192mi/h

Now that we know the speed of the commercial jet, we can find the speed of the private jet.

P = C*(7/8) = 192mi/h*(7/8) = 168 mi/h

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

Step-by-step explanation:

Increased price = 11% of   £ 13000

                          = 0.11 * 13000

                           = 1430

Price after increase = 13000 + 1430 =  £ 14,430

Answer:

Step-by-step explanation:The answr is 1.36078

Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

Answer: 2. They are congruent angles.

Step-by-step explanation:

      Angle 1 and angle 3 are vertical angles. In other words, they are "opposite" each other.

     Vertical angle pairs are congruent angles, meaning the answer to this question is;

              2. They are congruent angles.

Answer: They are congruent angles.

Step-by-step explanation: Complementary means the two angles equal 90°, supplementary angles are next to each other and equal 180° together, and it's obviously not a right angle, (angle that equals 90°) so we know they are congruent angles (this means that they are the same)

hope this helps!

please give brainliest!

The logarithm expression can be simplified to:

In(6x^9)-In(x^2) =7·ln(6x)

There are some logarithm properties we can use here.

log(a) - log(b) = log(a/b)

log(a^n) = n*log(a)

(these obviously also apply to the natural logarithm)

Now let's look at our expression, it says that:

In(6x^9)-In(x^2)

Using the first rule, we can rewrite this as.

In(6x^9)-In(x^2) = ln(6x^9/x^2)

Now solving the quotient in the argument:

ln(6x^9/x^2) = ln(6x^7) = 7·ln(6x)

That is the expresison simplified.

Learn more about logarithms at:

https://brainly.com/question/13473114

#SPJ1

The expression 2 - 5(x - 1) is a linear expression

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

2 - 5(x - 1)

The general rule is that

Using the above as a guide, we have the following:

2 - 5(x - 1) is a linear expression

Read more about functions at

brainly.com/question/15602982

#SPJ1

Answer:

34p -8

Step-by-step explanation:

6 (4p- 2) + 2 (5p + 2)

24p - 12 + 2 (5p +2)

24p - 12 + 10p + 4

34p -8

The answer:

15.157059248=15.2(When rounded to the nearest tenth)

Answer:

y = sec(x-2) - 1

Step-by-step explanation:

We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.

Answer: 297

Step-by-step explanation:

a=6n-3

a=6(50)-3

a=300-3

a=297

The measure of the angle B of the triangle is 78.15 degrees

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

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

Read more about triangle at

brainly.com/question/4372174

#SPJ1

Based on the information, the correct information regarding the graph is that C. Quantity demanded decreases as price increase.

The graph shows that for every increase of 100 units of the goods demanded, price reduces by 1 unit.

When 500 units was demanded, the price was at 1. Therefore, if 550 units are demanded, the price will reduce by half, which means the price would drop to 0.5.

The price would drop to 0.5. In this case, the the correct information regarding the graph is that Quantity demanded decreases as price increase.

Learn more about graph on

https://brainly.com/question/21858140

#SPJ1

Answer:

7.11\(\leq\)-7.1

Step-by-step explanation:

Answer:

Question 1- C. 7.11 > -7.1

Question 2- True

Question 3- -3 < -1 and -3 ≤ -1

Question 4- I don't know

Question 5- {3,4}

Step-by-step explanation:

I ran it through the calculator only on question 4 I didn't know the answer

-Rocketgamer360

The prοbability that nο mοre than fοur cοmmittee members are technοlοgically adept is 0.9851, rοunded tο fοur decimal places.

c) By dividing the tοtal number οf applicants whο are nοt technically prοficient (9) by the likelihοοd that any οne οf them wοuld be selected fοr the cοmmittee, it is pοssible tο calculate the anticipated number οf instructοrs οn the cοmmittee whο are nοt technically prοficient:

Number anticipated: 9 * (12/30) = 3.6

Tο the nearest whοle number, we estimate that there will be fοur prοfessοrs οn the cοmmittee whο lack technical prοficiency.

d) We can use the binοmial distributiοn with n=12 (the number οf trials) and p=0.3 tο determine the likelihοοd that at least three members οf the cοmmittee lack technical prοficiency (prοbability οf success, which is defined as selecting a vοlunteer whο is nοt technically prοficient). When X is the number οf technically incοmpetent prοfessοrs οn the cοmmittee, we want tο determine P(X>=3).

P(X>=3) = 1 - P(X<3)

= 1 - P(X=0) - P(X=1) - P(X=2)

\(\mathrm{=1 - (12\ choose\ 0)(0.3^0)(0.7^{12}) - (12\ choose\ 1)(0.3^{1})(0.7^{11}) - (12\ choose\ 2)(0.3^2)(0.7^{10)}}\)

\(= 1 - 0.00744 - 0.0563 - 0.1667\)

\(= 0.7696\)

The likelihοοd that at least three members οf the cοmmittee lack technical prοficiency is 0.7696, rοunded tο fοur decimal places.

e) Using the same binοmial distributiοn as in part d), we can calculate the likelihοοd that at mοst 4 members οf the cοmmittee are nοt technically adept by adding the prοbabilities fοr X=0, 1, 2, 3, and 4:

P(X<=4) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)

\(\mathrm{= (12\ choose\ 0)(0.3^0)(0.7^{12}) + (12 \ choose\1)(0.3^1)(0.7^|{11}) + (12 \ choose\2)(0.3^2)(0.7^{10})}\\\mathrm{ + (12 \ choose\3)(0.3^3)(0.7^9) + (12 \ choose\4)(0.3^4)(0.7^8)}\)

\(= 0.9851\)

Rounding tο four decimal places, the likelihood that no more than four committee members are technοlogically savvy is 0.9851.

To know mοre about Probability visit:

brainly.com/question/11234923

#SPJ1

Answer:

3.3

Step-by-step explanation:

Answer:

3.3

Step-by-step explanation:

Find the number in the tenth place 2 and look one place to the right for the rounding digit 6. Round up if this number is greater than or equal to 5 and round down if it less than 5.

3.3

Hope this helped!

Answer:

1486.14

Step-by-step explanation:

Answer:

Since an isosceles triangle has two congruent angles (the base angles), let x be the measure of each base angle. Then we know that the sum of the three angles in a triangle is 180 degrees, so:

vertex angle + base angle + base angle = 180

66 + x + x = 180

2x + 66 = 180

2x = 114

x = 57

Therefore, each base angle measures 57 degrees.

The reference angle of -210 is 30 degrees and the sketch of the angle is attached

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

Angle = 210 degrees

Rewrite as

θ = 210 degrees

The above angle is in the third quadrant

So, we subtract 180 degrees from it to calculate the reference angle

Using the above as a guide, we have the following:

Reference angle = 210 - 180

Evaluate the difference

Reference angle = 30 degrees

Hence, the reference angle is 30 degrees and the sketch of the angle is added as an attachment

Read more about reference angle at

https://brainly.com/question/30741629

#SPJ1

Answer:

0

Step-by-step explanation:

Answer:

none!

Step-by-step explanation:

Answer: 7725.5775

Step-by-step explanation:

d=27

r=d/2=27/2=13.5

the volume of the spherical balloon= 3.14*r^3

                                                       = 3.14*(13.5)^3

                                                       = 7725.5775

More about volume :

https://brainly.com/question/16693593

Answer:

Eleanor has made an error in Step 1

She clearly intended to multiply both sides by 2, but forgot to multiply the \(-9x\) part of the RHS.

Step 1 should be:   \(x+18=8(2x-6)-18x\)

Correct solution

Given:   \(\dfrac12(x+18)=4(2x-6)-9x\)

Step 1:  \(x+18=8(2x-6)-18x\)

Step 2:  \(x+18=16x-48-18x\)

Step 3:  \(x+18=-48-2x\)

Step 4:  \(66=-3x\)

Step 5:  \(x=-22\)

Answer: that's crazy

Step-by-step explanation: because i said so

Answer:

now I know my ABC's, next time won't you sing with me.

Step-by-step explanation:

the song comes after the letter Z.

Answer:

1 cause its going to be one sometimes

Answer:

x = 9

Step-by-step explanation:

1+1 = x - 7

2 = x - 7

Add 7 to both sides to isolate the x:

2 + 7 = x - 7 + 7

9 = x

Hope this helps!

Given the equation :

Make all terms at one side:

Factor the equation :

( x - 4 ) ( x - 3 ) = 0

Using the zero product to find x

So,

x - 4 = 0 OR x - 3 = 0

x = 4 OR x = 3

so, the answer is option 4. x = 3 or x = 4

Answer:

10:21

Step-by-step explanation:

Answer:

A) -285

Step-by-step explanation:

360-75=285

On solving the provided question, we can say that  -   sine of x = arcsin 39/74 = 31.8 degrees

The hypotenuse of a right triangle is its longest side, while its "opposite" and "adjacent" sides are those that are across from and next to the same angle, respectively. For the sides of right triangles, we have unique terminology. A right triangle's hypotenuse is always the side that faces away from the right angle.

The hypotenuse of a right triangle is its longest side, while its "opposite" and "adjacent" sides are those that are across from and next to the same angle, respectively. For the sides of right triangles, we have unique terminology. A right triangle's hypotenuse is always the side that faces away from the right angle.

Here the sine of x = ( / (hypotenuse) = 39/74.  Using a calculator with the inverse trig functions built in, we find

arcsine 39/74 = 31.8 degrees

To know more about hypotenuse visit:
https://brainly.com/question/29407794

#SPJ1