How do you solve this

Answer:

  533.3 mph

Step-by-step explanation:

You want the average round-trip speed if the speed to London was 480 mph and the return trip to Boston was 600 mph.

The average speed will be the total distance divided by the total time. The time is found by dividing the distance by the speed.

If the distance is d, the total time in hours is ...

  d/480 +d/600 = (3/800)d . . . . . hours

Then the average speed is ...

  2d/(3/800d) = 1600/3 ≈ 533.3 . . . . miles per hour

Alyssa's average speed on the round trip was 533.3 mph.

__

Additional comment

In the real world, eastbound speeds are usually faster than westbound speeds.

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Answer:

Figure D would be an 180 degree rotation of Figure A

Step-by-step explanation:

Figure B would have to be tilted to the right some more, and Figure C is all out of wack leaving Figure D

Answer:

Figure D

Step-by-step explanation:

From Figure A to B, it looks like a reflection (like a mirror) (over the y-axis)

From Figure A to C, it looks like a translation (5 units down) (x - 5, y)

From Figrue A to C, it looks like a rotation

Therefore, our final answer is Figure D

Hope this helps!

A second degree polynomial function f (x) that has a lead coefficient of 3 and roots 4 and 1 is: [tex]3x^2-15x+12[/tex]

An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

For this case we have that the following function complies with the given conditions:

[tex]f(x)=3x^2-15x+12[/tex]

To prove it, let's find the roots of the polynomial:

[tex]3x^2-15x+12=0[/tex]

By doing common factor 3 we have:

[tex]3(x^2-5x+4)=0[/tex]

Factoring the second degree polynomial we have:

[tex]3(x-1)(x-4)=0[/tex]

Then, the solutions are:

Solution 1:

[tex]x-1=0 \ or \ x=1[/tex]

Solution 2:

[tex]x-4=0\ \ or \ x=4[/tex]

Hence A second degree polynomial function f (x) that has a lead coefficient of 3 and roots 4 and 1 is:[tex]3x^2-15x+12[/tex]

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Answer:

f(x) = 3x² – 15x + 12

Step-by-step explanation:

I got it right on the unit test for edge

Answer:

Step-by-step explanation:

A = l x w

l = length

w = width

Formula:

6 4/5 x 4 3/4

First, multiplying the integers:

6 x 4 = 24

Then you multiply the fractions(top x top and bottom times bottom):

4/5 x 3/4 = 12/20

Simplify:

12/20 = 3/5

Giving you 24 3/5

I hope this helps :)

Answer:

26 metres

Step-by-step explanation:

(Assuming this is for the whole shape)

5 + 5 + 4 + 8 + 4

= 26 m

For the local weather of Eloy, Arizona, the average for the last five years fits with the 30-year average.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of a population

N = number of observations of population

X = mean

μ = population mean

The 30-year average for July was 90°. The standard deviation for this average is 2.1°. Thus, the temperature lies in the range around of 90° in July.

Therefore, the range of the temperature is,

t = 90 - 2.1 = 87.9

t = 90 + 2.1 = 92.1

The last five summers recorded have an average of 93. 5° and the value of a is 5%. Thus, the reduction is,

t = 92 - (92 x 2.5/100)

t = 89.70

This value of temperature lies in the range of 87.9-92.1 degrees Celsius. Hence, the two averages are probably the same.

Hence, for the local weather of Eloy, Arizona, the average for the last five years fits with the 30-year average. Option D is correct.

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Answer:

D, The average for the last five years fits with the 30-year average.

Step-by-step explanation:

edge

By finding the area of the simpler parts, we will see that the total surface area of the figure is 348 ft^2

We can divide this in smaller parts. First, remember that for a triangle of base b and height h, the area is:

A = b*h/2

Then for each of the triangles in the image, the area is:

A = 8ft*3ft/2 = 12 ft^2

And we have two of these.

Then we have the base, a rectangle of 8ft by 10ft, with an area:

A' = 8ft*10ft = 80ft^2

Then we have the front and back sides, rectangles of 8ft by 4ft, with an area:

A'' = 8ft*4ft = 32 ft^2  (we have two of these).

Then the lateral sides, rectangles of 10ft by 4ft, with an area:

A''' = 10ft*4ft = 40ft^2  (we have two of these)

Finally, we have the top rectangles, of 5ft by 10ft, each with an area:

A'''' = 5ft*10ft = 50ft^2 (we have two of these).

Adding all the areas, we get:

Area  = 2*(12 ft^2 + 32 ft^2 + 40ft^2 + 50ft^2) + 80ft^2 = 348 ft^2

If you want to learn more about areas, you can read:

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Answer:

[tex]x = \frac{11}{2}[/tex]

Step-by-step explanation:

4+2 (x-1)=13

⇒ 2 (x - 1) = 13 - 4

⇒ 2 (x - 1) = 9

⇒ 2 x - 2 = 9

⇒ 2 x  = 9 + 2

⇒ 2 x  = 11

⇒  x  = 11/2

Step-by-step explanation:

a) 3×2×t=6t

b)500 years

Answer:

5040 ways

Step-by-step explanation:

There will be 13 chairs altogether.

Since there are 7 girls who cannot sit together, the pattern will be alternate.

→ G, B, G, B, G, B, G, B, G, B, G, B, G

Total Ways

Answer:

what graph?

Step-by-step explanation:

Step by step explanation :

Taking LCM in Left Hand Side

Now, By cross multiplying ,we get. ..

[tex]⇢5(x - 2) = 2(3 - x)[/tex]

[tex]⇢5x - 10 = 6 - 2x[/tex]

[tex]⇢5x + 2x = 6 + 10[/tex]

[tex]⇢7x = 16[/tex]

[tex]⇢ \boxed{ x = \frac{16}{7} }[/tex]

Answer:

x = 16/7

Step-by-step explanation:

Given

Solving

#1) Find the LCM.

#2) Multiply both sides by 10.

#3) Bring x terms to the left and numbers to the right.

Answer:

1(-1/3)^8

Answer: 1/6561

hope this is better

Answer:

12.25cm2

Step-by-step explanation:

Area of a square= S ×S

3 1/2 × 3 1/2 = 3.5×3.5 = 12.25

Answer:

the answer in the simplest form is 1/2 miles and if it's not in its simplest form is 6 /12 .hope it helps.

Step-by-step explanation:

Answer:

R.d. = 1/2 mile

Step-by-step explanation:

Facts of note

Solving

Answer:

324 over x is the answer

Step-by-step explanation:

khan told me.

ik ur searching probs from khan hehe plol

The cost of each ticket as an expression is $324/x

Ratios are written as fractions. For instance a/b can be written as a:b.

If Suzie paid a total of $324 for x ticket to rock a festivel, this is expressed as;

$324 = x ticket

The cost of each ticket is given as;

y = 1 ticket

324/y = x/1

y = 324/x

Hence the cost of each ticket as an expression is $324/x

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The fact that Maria has decided to still put in more effort to get no grade lower than C shows that c. she is able to set and evaluate her goals.

Maria was able to set goals on the grades that she would like to earn throughtout her high school.

She was also able to evaluate her progress when she saw that she hadn't reached her overall goal. This then led to her taking even more lessons.

In conclusion, option C is correct.

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The weight of Jennifer's shelf if 1kg is equivalent to  2.20462 pounds  is 7.44kg

Fractions are written as the ratio of two integers

Given the following

Amount of pounds that Jennifer buuilt = 16.40 pounds

If 1 kg = 2.20462 pounds

Calcualate the measure of shelf in kg
Weight = 16.40/2.20462

Weight = 7.44kg

Hene the weight of Jennifer's shelf if 1kg is equivalent to  2.20462 pounds  is 7.44kg

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The inequality represents x, and y, she can eat each week is,

490x+700y \leq 4000.

x be the number of microwave burritos

y be  the number of peanut butter sandwiches

we know that

[tex]490x+700y \leq 4000[/tex].........inequality that represents the situation

The mathematical expression in which the sides of an equation are not equal to each other.

we use a graphing tool

The solution is the shaded area

Please find  the attached figure

Therefore,the answer is 490x+700y \leq 4000

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Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. Thus, The total cost of stock including the commission is $15917.

Stocks are types of security to shareholders that represent fractional ownership of equity in any organization.

Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. He also purchased 500 shares of Matell Scientific at $26.76 per share.

We have a number of shares at $44.41 per share = 100

Number of shares at $19.08 per share = 600

Total number of shares = 700

Broker's charges per share = $0.04

Hence, The total cost of the stock including the commission

= Cost of stock + commission

= (100 × 44.41) + (600 × 19.08) + (700 × 0.04)

= 15,917

Thus, the total cost of stock including the commission is $15917.

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Answer:

87.375

Step-by-step explanation:

i think it that because you haft to do divison

Answer:

$3

Step-by-step explanation:

If the soda was $4 and she spent a total of $28

then you do 28-4 to get the amount she spent on candy bars so 28-4 is 24 and divide 24 by 8 and you get 3

Answer:

70 if you walk directly across, 140 if you're running the bases

Step-by-step explanation:

So, if the distance between one is 70, than from home>first>second is 140 feet. Because it is a square, if you travel across the field from home directly to second, it is half that distance and only 70.

Answer:

C ≈ 11.71 cm

Step-by-step explanation:

using the ratio arc  AC : circumference C = angle at centre of sector : 360°

[tex]\frac{AC}{C}[/tex] = [tex]\frac{123}{360}[/tex] , that is

[tex]\frac{4}{C}[/tex] = [tex]\frac{123}{360}[/tex] ( cross- multiply )

123 × C = 4 × 360 = 1440 ( divide both sides by 123 )

C = [tex]\frac{1440}{123}[/tex] ≈ 11.71 cm ( to the nearest hundredth )

Answer:

im not really good at drawing but Can I ask a question can I help you with other questions?

Step-by-step explanation:

Step-by-step explanation:

find the egn of the line through (a.b)and perpendicular to the lime passing through (a.2b)and (b.2a)for a#b?

Answer:

20 Students chose bananas.

Step-by-step explanation:

You can see that the bananas take up 25% or 1/4 of the chart. To find 1/4 of a number find half of the number twice. Half of 80 is 40 and half of 40 is 20. So, 20 students chose bananas.

Answer: y≤−5

Step-by-step explanation: