The distance between Chicago and Cleveland is
354 miles. If a person leaves Chicago at 9:50
AM. Central Time and arrives in Cleveland at
5:30 PM the same day Eastern Time, at what
average speed, to the nearest mile, does he
travel?

A)46MPH
B)50MPH
C)53MPH
D)55MPH​

there are 53 children in the family gathering

Answer:

C = 53

Step-by-step explanation:

WHAT WE KNOW

m + w + c =100

2w - 2 = m

6 + w + m = c

-------------------------

FIND C

Answer:

Option D is correct

Step-by-step explanation:

With x < 4 and y < 5:

P = 4x + 3y < 4(4) + 3(5) = 16 + 15 = 31

=> Option D is correct

Given the equation P = 4x + 3y  With constraints x > 0, x < 4 and y < 5:

Option D is correct that is 31.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given the equation P = 4x + 3y

With  constraints x > 0, x < 4 and y < 5:

The maximum value is

P = 4x + 3y < 4(4) + 3(5)

P = 16 + 15

P = 31

Hence, the Option D is correct.

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Answer:

2000 ft x 2= 4000 ft

So the answer is 4000 ft

Answer:

The answer will be 7L/100km.

Step-by-step explanation:

The fuel consumption rate is already given for the first 100 km. So, the next 500 km will be 100km to 600km. You have to find the slope of the line during this travel. If you observe, the fuel lowers from 40 litres to 5 litres in this 500km journey. That means, 35 litres were used for 500km. Divide both with 5. That gives 7litres per 100km.

Hey there! :)

Answer:

x = 7L/100km.

Step-by-step explanation:

Solve this problem by using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Use the points (100, 40) and (600, 5) and plug these into the formula:

[tex]m = \frac{5-40}{600-100}[/tex]

Simplify:

[tex]m=\frac{-35}{500}[/tex]

Since this is describing the rate of consumption, we can simply write the slope as:

[tex]m = \frac{35}{500}[/tex]

The question is asking for the rate of consumption over 100 km, therefore:

[tex]\frac{35}{500} = \frac{x}{100}[/tex]

Cross multiply:

3500 = 500x

Divide both sides by 500:

3500/500 = 500x/500

x = 7L/100km.

Answer:  y = 3x + 1

Step-by-step explanation:

In the equation y=mx+b (slope - intercept form), m represents the slope and b represents the y - intercept of the equation. We can use this to answer the problem.

Because the problem specifies here that the equation we are trying to solve for is parallel to y= 3x - 5, we can assume that its slope is 3 (the same as the line it is parallel to - this is so because of the definition of parallel lines).

m = 3

And finally, we know that the y-intercept will be in the form (0, b) - which is exactly what the given point is in. Substitute the value in, and we get:

b = 1

Now put these two values into one equation.

y = mx + b

y = (3)x + (1)

y = 3x + 1

Answer:

f(2)= 2, f(3)= -9

Step-by-step explanation:

To find f(2) o f(3), you simply plug the respective number into the function, substituting it for x:

f(2)= -3(2)^2 + 4(2) + 6

f(2)= -12 + 8 + 6

f(2)= 2

f(3)= -3(3)^2 + 4(3) + 6

f(3)= -27 + 12 + 6

f(3)= -9

Answer:

y = 8x - 26

Step-by-step explanation:  

Since we already have the ending equation in slope intercept form, all we need to do is fill in the blanks. We do that by putting it in point slope form which is [tex]y-y_{1}=m(x-x_{1})[/tex]

(You can plug either point in and get the same result but I'm going to use the first one)

[tex]y-(-2)=8(x-3)[/tex]

Distribute the [tex]m(x-x_{3})[/tex]

[tex]y-(-2)=8x-24[/tex]

Isolate the [tex]y[/tex]

[tex]y-(-2)=y+2[/tex]

[tex]y+2(-2)=8x-24(-2)[/tex]

[tex]y=8x-26[/tex]

And that's your answer!

Answer:

22

Step-by-step explanation:

In this sequence, the next number is found by adding 4.

Answer:

22

Step-by-step explanation:

10 - 6 = 4

so, all next numbers have to be added by 4

Answer:

The selling price of the cleaner is:

Step-by-step explanation:

First, we have the base of the value that is $120, now we know that the overhead is 5%, so we must calculate this value in dollars, the 5% of $120 is:

This value you must add to the base ($120), so the cost with the overhead is $126. How the store wants to make a profit of 10%, you must calculate this 10% of the total cost obtained ($126):

And you must add this value to obtain the final price in the store:

Answer:

point (4, 7) will go to (2, 1)

point (-8, 4) will go to (-2, 0)

point (-8, -2) will go to (-2, -2)

Step-by-step explanation:

Answer:

point (4, 7) will go to (2, 1)

point (-8, 4) will go to (-2, 0)

point (-8, -2) will go to (-2, -2)

Answer:

9/16

Step-by-step explanation:

3/16 + 2/16 + 4/16 = 9/16

Answer:

9/16

Step-by-step explanation:

To solve this, you first need to give all the fractions a common denominator. In this case all the denominators can be mutiplied to 16, so that will be our common denominator. So now that all of the denomitors are the same,(3/16+2/16+4/16) we can start solving the problem. First, 3/16+2/16=5/16. Then do, 5/16+4/16=9/16.

Answer:

B. 5, 12, 13

Step-by-step explanation:

√5²+12²=13 - yes

√4²+7²= 8.06- no

√20²+22²=29.73 - no

Answer:

Step-by-step explanation:

Volume = Length times width times height.

Here,

Volume = (4.5 in)(5 in)(3.75 in), which, when evaluated by calculator, comes out to 84.375 cubic inches.

This is equivalent to 84 3/8 cubic inches.

Answer:

[tex]84\frac{3}{8}in^3[/tex]

Step-by-step explanation:

V = L * W * H  

V = 4 1/2 * 5 * 3 3/4

V = 9/2 * 5/1 * 15/4

V = 675/8

V = 84 3/8

Graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.

A system of equations is made up of two or more equations that are solved at the same time.

There are three ways to solve a system of equations:

In the question, we are asked which method for solving systems of equations is the least accurate and may only give an approximate answer.

We have discussed all methods above.

Of these methods, when solving manually, as the degree of the equation gets bigger and bigger, the graphing of equations will become difficult, and thus the graphing method will be the least accurate.

Thus, graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.

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Answer:

0.43 is the answer

Step-by-step explanation:

you need to take the total of action movie and divide it by the grand total.

204/478 ≈ 0.43

The  probability that a randomly chosen person from this group an action movie is 0.43.

Probability refers to the idea that an event may or may not happen. The scenario described here is a mutually exclusive event. We must recall that in cases of a mutually exclusive event, we add probabilities.

Hence;

Probability of a male watching an action movie = 105/479

Probability of a female watching an action movie = 99/479

probability that a randomly chosen person from this group an action movie = 105/479 +  99/479 = 0.43

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Answer:

1a.  {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

1b.   {5}

Step-by-step explanation:

For part 1:

A U B is the union of all values, so {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

Remember that union means to include all values.

A n B is the intersection of all values, so {5}

Remember that the intersection means "what do they have in common".

Answer:

A,C,&D

Step-by-step explanation:any funny bur cute romance anime recommendations?

Answer:

[tex]\cos(\frac25\pi) = \frac14(\sqrt5-1) \approx 0.3090[/tex]

[tex]\sin(\frac25\pi) = \sqrt{\frac58 + \frac{\sqrt5}{8}} \approx 0.9511[/tex]

[tex]\cos(2\pi) = 1[/tex]

The value of [tex]\frac{2\pi }{5}[/tex] radians corresponds to an angle of 180/5 = 72 degrees.

Answer:

3rd Option

Step-by-step explanation:

Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.

Answer:

15/163

Step-by-step explanation: I dont have one

Answer:

i think its D

Step-by-step explanation:

Answer:

Total combination = 180,180

Step-by-step explanation:

It is a combination based problem.

So,

Total people = 13

Group = 3,6,2,2

So,

For 6 people

13C6= 1,716

For 3 people

7C3 = 35

For 2 group of 2 people

(4C2)/2 = 3

Total combination = 1,716 × 35 × 3

Total combination = 180,180

Answer:

19/64

Step-by-step explanation:

number of boys:

red haired boys:

The fraction:

Answer:

19/64

Step-by-step explanation:

number of boys: 11+21+13+19=64

red haired boys: 19

The fraction: 19/64

Answer:

The correct option is C

C) 76°

Step-by-step explanation:

The question is incomplete because the figure is not given. I have attached the figure of the same question below. Consult it for better understanding.

We can see in the figure that <2 and <4 are opposite angles, therefore these are equal.

<2 = <4

126 = 7x

x = 18

Similarly we can also see that <5 and <7 are also opposite angles, therefore they are equal too.

<7 = <5

<7 = 4x+4

Substitute x=18

<7 = 4(18) + 4

<7 = 76°

Answer:

option c

Step-by-step explanation:

hope this helps :)

Answer:

0.894

Step-by-step explanation:

Data provided in the question

BC length = 17.89 unit

DC length = 16 unit.

Now, we have to compute the angle y with the help of the cosine function;

Cosine defines the ratio between the right angle adjacent side and the hypotenuse  

[tex]\cos = \frac{Adjacent side}{Hpotenuse}[/tex]

As per the triangle BDC;

Hypotenuse = BC =17.89 unit

And, the Adjacent side = 16 units

So;

[tex]\cos y =\frac{16}{17.89} =0.894354388[/tex]

[tex]y =\cos^{-1} (0.894354388) = 26.57^{\circ} (nearest\ to\ hundredths\ place)[/tex]

Now, determine the value of angle x

In right angle ΔABC;

As we know that

The three angles sum is 180 degrees

So,

[tex]\angle A + \angle B +\angle C =180^{\circ} ....(1)[/tex]

According to the given figure

[tex]\angle B=90^{\circ}, \angle A =x^{\circ}[/tex]

and

[tex]\angle C =y=26.57^{\circ}[/tex]

Now Substitute these in (1) for solving the angle x;

[tex]x^{\circ}+90^{\circ}+y^{\circ} =180^{\circ}[/tex]

or

[tex]x^{\circ}+90^{\circ}+26.57^{\circ} =180^{\circ}[/tex]

or

[tex]x^{\circ}+116.57^{\circ} =180^{\circ}[/tex]

[tex]x^{\circ}=180^{\circ} - 116.57^{\circ}=63.43^{\circ}[/tex]

Finally we have to determine the value of sin x;

Hence,

The value of [tex]\sin 63.43 =0.89438856[/tex]

or

= 0.894

Answer:

sin x = 0.894

Step-by-step explanation:

I hope you are refering to this figure:

Answer:

[tex](ab)(x)[/tex]

Step-by-step explanation:

Data provided in the question

a(x) = 2x - 4

b(x) = x + 2

Now we go through each options

First option

[tex](ab)(x)=(2x-4)(x+2)[/tex]

[tex]=2(x-2)(x+2)[/tex]

[tex]=2(x^2-4)[/tex]

[tex]=2x^2-8[/tex]

Second option

[tex]\dfrac{a}{b}(x)=\dfrac{2x-4}{x+2}[/tex]

Third option

[tex](a-b)(x)=(2x-4)-(x+2)[/tex]

[tex]=2x-4-x-2[/tex]

= x - 6

Fourth option

[tex](a+b)(x)=(2x-4)+(x+2)[/tex]

[tex]=2x-4+x+2[/tex]

= 3x - 2

As we can see from the above options only option A is correct i.e it only produced a quadric function

Answer:

I would use the pounds.

Step-by-step explanation:

The reasoning behind using the pound is, if you are using fractions per say to get a side by side ration when you are doing 16 ounces to 1 pound you would want to have a unit rate.

750 ounces          16 ounces

-------------------       -----------------    

  x pounds              1 pound

Do you see how much easier it is to convert from ounces to pounds when you have a unit rate? Now once you see how many times you had to multiply 16 to get 750 you can easily multiply that number by 1!

Answer:

24 inches

Step-by-step explanation:

After folding the piece of paper, the result will be 1/4 the size of the original square. If you multiply the are of the triangle by 4, you will find that the area of the original square is 36 square inches.  The square root of 36 is 6, which shows us that the length of each side of the square is 6. To get the perimeter, multiply 6 by 4 to get 24 inches.

Answer:

1/5

Step-by-step explanation:

We can find the slope of a line using two points by

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

    = (3-2)/(4 - -1)

    (3-2) /( 4+1)

     1/5

Answer:

B. 1/5

Step-by-step explanation:

The slope can be found through two points.

m = rise/run

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

m = (3 - 2)/(4 - (- 1))

m = 1/(4+1)

m = 1/5

Th slope of the line going through the points  (-1, 2) and (4, 3) is 1/5.