the ratio of the length of an airplane wing to its width is 6 to1 . if the length of a wing is 12.5 meters ,how wide must it be

Answers

Answer 1

If you set up a proportion, this will make sense.


[tex]\frac{6}{1}= \frac{12.5}{x}[/tex]

Now, Cross Multiply


6x = 12.5

x = 25/12


Related Questions

A migrating bird flies 280 miles in 14 hours.how many miles does it fly in 5 hours?

Answers


280mi: 14h Divide to get it over one

20mi : 1 h multiply by five

100mi:5h

Hope it helps!!


Take 280 and divide that by 14 to get the quotient of 20 miles per hour. Take that and then multiply that by 5 to get the distance the bird flies in 5 hours. 100 miles.

V=1/2at^2 solve for t

Answers

[tex]\dfrac{1}{2}at^2=V\qquad\text{multiply both sides by 2}\\\\at^2=2V\qquad\text{divide both sides by}\ a\neq0\\\\t^2=\dfrac{2V}{a}\to\boxed{t=\sqrt{\dfrac{2V}{a}}}[/tex]

A randomly generated list of number from 0 to 8 is being used to simulate an event, with the numbers 0, 1 and 2 representing a success. What is the estimated probability of a success?
A. 30%
B. 33%
C. 20%
D. 25%

Answers

The correct answer is B. 33%

In order to find the percentage of success, you need to take the amount of numbers for success and divide by the total number of options. 0-8 represents 9 different options. 0-2 represents 3 possible successes. Therefore, we divide 3 by 9.

3/9 = 33%

[tex]<b>HEY THERE!![/tex]

[tex]\red{TOPIC :- PROBABILITY}[/tex]

In the above question total nubers are 9 ( 0,1,2,3,4,5,6,7, 8). And favorable numbers are 3 ( 0,1,2 ).

As we know probability
P = favorable numbers ÷ total numbers
P = 9/3 = 33

SO THE CORRECT ANSWER IS (B) = 33%


HOPE YOU LIKED IT.

if n represents a number write an expression for the quantity of four less than the square of this number divided by the quantity five more than four times the number

Answers

A number is represented by = n.

We need to write an expression for "an expression for the quantity of four less than the square of this number divided by the quantity five more than four times the number ".

Let us break the statement into smaller parts.

"The quantity of four less than the square of this number(n)".

Square of n is = n^2.

4 less than n^2 = n^2 -4.

"This number(n) divided by the quantity five more than four times the number"

4 times the number n = 4×n = 4n.

Five more than four times the number = 4n +5.

Therefore, we can repharse given statement by an easy way as:

" 4 less than n^2 is divided by (4n+5)."

or (n^2 - 4) ÷  (4n+5).

In fraction form : [tex]\frac{n^2 - 4}{4n+5}[/tex]

Therefore, final expression would be [tex]\frac{n^2 - 4}{4n+5}[/tex].



Final answer:

The expression for the quantity of four less than the square of a number divided by the quantity five more than four times the number is (n^2 - 4) / (4n + 5)

Explanation:

To write an expression for the quantity of four less than the square of a number divided by the quantity five more than four times the number, we can represent the number as 'n'.

The square of the number is written as n2.

Four less than the square of the number is (n2 - 4).

Five more than four times the number is (4n + 5).

Therefore, the expression for the given quantity is:

(n2 - 4) / (4n + 5)

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Don’t get #11and12 please help me

Answers

11.

Remember that dividing by a number is the same as multiplying by its reciprocal. To get a number's reciprocal, flip the numerator and denominator around.

In this case, 3/5's reciprocal is 5/3. With this information in mind, flip 3/5 to it's reciprocal, change the division sign to multiplication, then multiply as such:

[tex]\frac{7}{8} \times \frac{5}{3}=\frac{35}{24}[/tex]

Your final answer is 35/24.

12.

Now firstly, we want to convert these mixed fractions into improper fractions. To convert them, multiply the whole number by the denominator then add the numerator and that's your new numerator. In this case:

[tex]2\frac{1}{10}=\frac{2*10+1}{10}=\frac{21}{10}\\\\1\frac{1}{5}=\frac{1*5+1}{5}=\frac{6}{5}\\\\\frac{21}{10}\div \frac{6}{5}[/tex]

Next, we want to convert this expression to multiplication. Similar to before, convert 6/5 to its reciprocal, change the multiplication sign to division, and multiply as such:

[tex]\frac{21}{10}\times \frac{5}{6}=\frac{105}{60}[/tex]

Now you may think that 105/60 is the right answer, however we can simplify it further. The numerator and the denominator have a GCF, or greatest common factor, of 15. With this, divide the fraction by 15/15 as such:

[tex]\frac{105}{60}\div \frac{15}{15}=\frac{7}{4}[/tex]

Your final answer is 7/4.

7/8 x 5/3=35/24
That’s your answer for 11

Shyam invested money in the stock market. In the first year, his stock increased 20%. He paid his stock broker $300 and then lost $450. He withdrew $500, and then his remaining investment doubled. Shyam’s investment is now worth $7100. How much was Shyam’s original investment?

Answers

Answer:

Shyam's original investment was $4000.

Step-by-step explanation:

Suppose, Shyam's original investment was  [tex]x[/tex] dollar.

In the first year, his stock increased 20%. So, the value of the stock will be: [tex](x+0.20x)=1.20x[/tex] dollar.

He paid his stock broker $300 and then lost $450. So now, the value of the stock will be:  [tex](1.20x-300-450)=(1.20x-750)[/tex] dollar.

He then withdrew $500, so the value of the remaining investment [tex]=(1.20x-750-500)=(1.20x-1250)[/tex] dollar and this remaining investment doubled now.

So, the value of the investment now [tex]=2(1.20x-1250)[/tex] dollar, which is given as $7100.

Thus, the equation will be.......

[tex]2(1.20x-1250)=7100\\ \\ 2.40x-2500=7100\\ \\ 2.40x=7100+2500=9600\\ \\ x=\frac{9600}{2.40}=4000[/tex]

So, Shyam's original investment was $4000.


The flute players are 3/10 of the band and the trumpet players are 1/12 of the band. Is a greater fraction of the band flute players or trumpet players?

Answers

1/12 of the band would be 8 students 3/10 would be 30 students

is 0.99 greater than or less than 0.1

Answers

0.99 > 0.1 Because 0.1,0.2,0.3 ect

.1 written is written as .10

.99 is closer to one

That makes .10 less than .99

For this reason, .99 is greater than .10

Another example you could grasp is .5 .17

.5 is written as .50

.50 is closer to one making it closer to 1 and thus .5 is greater than .17

Due to all of the explanations provided above, .99 is greater than .1

a company charges $8 an hour for lawn mowing. what would the company charge for a lawn that takes 1 hour and 45 minutes to mow?

Answers

there are 60 minutes in an hour so

t = 1 45/60  = 1 3/4

t = (4 * 1 + 3)/4  = 7/4

$ 8* 7/4 = 56/4 = $14

they will charge $14.00

find the area of a circle with a radius of 6.7 m to the nearest square unit

Answers

Answer:

141 Square units.

Step-by-step explanation:

Area of a circle is equal to pi*radius squared.


[tex]A = \pi \times 6.7^{2} \\A = 141.026....\\A \approx 141 u^2[/tex]

Answer:

A = 141 m²

Step-by-step explanation:

The formula of an area of a circle with radius r:

[tex]A_O=\pi r^2[/tex]

We have r = 6.7m. Substitute:

[tex]A_O=\pi\cdot6.7^2=\pi\cdot44.89\approx3.14\cdot44.89=140.9546\approx141\ m^2[/tex]

HELP PLEASE!! Multiply. states any excluded values. q + 5/-3 • -3q/q + 2

Answers

[tex]\dfrac{q+5}{-3}\cdot\dfrac{-3q}{q+2}=\dfrac{(q+5)(-3q)}{(-3)(q+2)}\qquad\text{use distributive property}\\\\=\dfrac{(q)(-3q)+(5)(-3q)}{(-3)(q)+(-3)(2)}=\dfrac{-3q^2-15q}{-3q-6};\ q\neq(-2)[/tex]

Suppose f(x)=3x^2-2x
Find f (-4)

Answers

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

f(-4) = 3(16) + 8

f(-4) = 48 + 8

f(-4) = 56

I think the answer is 56 :)

Please give BRAINIEST :)

The answer is 56

Here's how I got my answer:

Step 1: Replace all the x's in the equation. Which leaves us with [tex]3(-4)^2-2(-4)[/tex]

Step 2: Solve [tex]-4^2[/tex], which is [tex]16[/tex]. That leaves is with [tex]3(16)-2(-4)[/tex]

Step 3: Solve [tex]2(-4)[/tex], which is [tex]-8[/tex]. That leaves us with [tex]3(16)+8[/tex]

Step 4: Solve [tex]3(16)[/tex], which is [tex]48[/tex]. That leaves us with [tex]48+48[/tex]

Step 5: Simplify [tex]48+48[/tex] to get your answer, 56.

Explain this sequence : 1234, 123.4, 12.34, 1.234, .1234, .01234, .001234

Answers

In every number you are dividing by 100 hope this helps 1234 ÷100 = 123.4÷100=12.34 ect...

Answer:

actually you divide by 10. 1234÷10, 123.4 ÷10, etc.

Step-by-step explanation:

what is the product of (1.2)×5

Answers

It's 6. (1.2)x5 is just 1.2x5, which equals to 6.

500 grams of sugar occupies a volume of a 0.315 liters whats the density of the sugar in grams per milliliter

Answers

Answer

Density of Sugar is 1.59 grams per milliliter.

Step-by-step explanation:

The answer is required to be given in grams per milliliter.

So we should first convert the values to match the units.

Sugar is given as 500 grams so we don't need to change the units.

Volume is given in liters. So we need to change it to milliliters.

There are 1000 milliliters in 1 liter.

Therefore,

[tex]0.315[/tex] liters = [tex]0.315*1000[/tex] milliliters

                                  =[tex]315[/tex] milliliters

Density of Sugar       = {Number of grams of Sugar/ Volume of the Solvent]

                                  =500 grams / 315 milliliters

                                  =1.59 grams per milliliter (Answer is given to 2 decimal places)

Final answer:

The density of sugar given the mass of 500 grams and a volume of 0.315 liters is calculated as 1.587 grams per milliliter (g/mL) after converting liters to milliliters.

Explanation:

To calculate the density of sugar in grams per milliliter (g/mL), we utilize the formula density = mass/volume.

Given that we have 500 grams of sugar occupying a volume of 0.315 liters, first, we need to convert the volume from liters to milliliters for consistency in units, knowing that 1 liter equals 1000 milliliters.

Thus, 0.315 liters is equal to 315 milliliters.

Applying the formula, the density = 500 grams / 315 milliliters.

Therefore, the density of the sugar is 1.587 g/mL.

This value indicates the mass of sugar that would occupy a one milliliter volume.

What is the range of f(x)=3x+9

Answers

Answer:

The range is all real numbers or (-∞, ∞)

Step-by-step explanation:

You can  plug in any real value of x into this function to output another real value.

Answer:

The answer is: {y|y>9}

Three coins are flipped. What is P(heads, heads, heads)?

Answers

Answer: .125 or 1/8

Step-by-step explanation: *Use a tree diagram*

The probability of 3 times coming head is 1/8.

What is the probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

Three coins are flipped.

The probability of the coin coming head is;

[tex]\rm P(head)=\dfrac{1}{2}[/tex]

The probability of 3 times coming head is;

[tex]\rm P(heads,\ heads, \ heads)=\dfrac{1}{2} \times \dfrac{1}{2} \times\dfrac{1}{2} \\\\ P(heads,\ heads, \ heads)=\dfrac{1}{8}[/tex]

Hence, the probability of 3 times coming head is 1/8.

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Dahlia is simplifying (3t)^4 using these steps:

(3t)^4 =3t•3t•3t•3t =3•3•3•3•t•t•t•t

Although Dahlia is correct so fast which step could she have used instead to simplify the expression (3t)^4 ?


A. 3t =3t⁴
B. 3⁴ =81t
C. 4(3t)= 12t
D. 3⁴t⁴ =81t⁴

Answers

to simplify, we'd simply distribute the power of 4 to each individual within the parentheses

answer = D.

D. 3⁴t⁴ =81t⁴.

81t⁴ is going to be your answer.

Here is how you get it:

3t(3)t(3)t(3)t =3*t*3*t*3*t*3*t

=81*t^4

=81t^4

Joan walked 23 1/4 miles in a week. Her sister walked 69 3/4 miles during the same week.
How many times farther did Joan’s sister walk than Joan?

Answers

joans sister walked 3 times farther.

23 1/4 * 3 = 69 3/4

joans sister walked 3 times farther.

If f(x) = 3x and g(x)=1/3x, which expression could be used to verify that g(x) is the inverse of f(x)?

A. 3x(x/3)

B.(1/3x)()3x

C.1/3(3x)

D.1/3(1/3x)


34 points

Answers

Answer:

C would be able to verify the equation.

Step-by-step explanation:

In order to tell if any equation is a inverse, you can plug one equation in for x in the other. If the result is y = x, then it is an inverse. C is putting f(x) in for x in the g(x) equation. If you multiply this out, it comes out to y = x

A function assigns the values. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

If two functions are inverse of each other, then their composition is equal to the variable, in this case, it is x. Since f(x)=3x, while g(x)=1/3x, therefore, we can write,

g(f(x))

= 1/ 3(3x)

Hence, the correct option is C.

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can some one help me with one of these 5 problems plzz

Answers

I can help with CL 2-107. All you have to do is simplify the equation on both sides, and then isolate w  to find its value.

6w - 5 + 8w - 2w - 3 = 9w - 24

(-5) + 12w - 3 = 9w - 24

-8 + 12w = 9w - 24

-8 + 3w = -24

3w = -16

w = [tex]\frac{-16}{3}[/tex]

w = -5.33

Hope that helps! Sorry I couldn't help with the other ones!

Look at the pictures.

CL 2-109

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have

[tex](-5,\ 7)\to x_1=-5,\ y_1=7\\(10,\ 1)\to x_2=10,\ y_2=1[/tex]

Substitute:

[tex]m=\dfrac{1-7}{10-(-5)}=\dfrac{-6}{10+5}=\dfrac{-6}{15}=-\dfrac{2}{5}[/tex]


Which is a correct first step for solving this equation? x+7=2x+5−4x

Answers

First Solving for like terms such as 2x+-4x = -2

x+7=2x+5−4x

x + 7 = 2x + 5

x + 2x = 5 - 7

3x = -2

x = -2/3

So the answer should be to combine the like terms in step two. x + 7 = -2x + 5

what is the midpoint of the vertical line segment graphed below?

Answers

Answer:

the answer is A

Step-by-step explanation:

you just subtract the y2 by the y1


Answer:

Midpoint of the vertical line segment graphed below is:

(2, -2.5)

Step-by-step explanation:

Mid point of (x1,y1) and (x2,y2) is (a,b)

where [tex]a=\dfrac{x1+x2}{2}\ and\ b=\dfrac{y1+y2}{2}[/tex]

Here, (x1,y1)=(2,4) and (x2,y2)=(2,-9)

[tex]a=\dfrac{2+2}{2}\ and\ b=\dfrac4-9}{2}[/tex]

⇒ a=2 and b= -5/2= -2.5

Hence, midpoint of the vertical line segment graphed below is:

(2, -2.5)

Solve the following inequality then place the correct answer in the box provided 8x-1<15

Answers

here is the answer and the steps I hope that this helped!
Step #1: Add 1 to both sides

8x< 16

Step #2: Divide by 8 on both sides

Final Answer: x< 2

*Think of the less than symbol as just an equals sign and do anything in PEMDAS to get the vaiable (x) alone on one side.

please help on four and six

Answers

4) 600

Using the equation 450=0.75(x)

you find x and you get 600 since it needs to be 75% of a number to be 450

6) 500

Using the equation 75=0.15(x)

You find  and you get 500

Question 1)
if 450 is 75% that must mean:

(450÷3=150)(75%÷3=25)

150 equals 25%

25%+75% equals 100% so 450 (75%)+150 (25%) must equal 600.

the answer is 600.

Question 2)
500

hopefully this is helpful♡♡~~chyna

Mary has 30 books and purchases 2 books per month. What is the variables?

Answers

Variables are any letter so in the case of your equation the variables would be f and x.

simplify. remove grouping sbols and combine like terms

Answers

Answer:

[tex]5a^2+12b^2-40b[/tex]

Step-by-step explanation:

First distribute the -4 to the 2b and -3b. This leaves you with [tex]5a^2-8b+12b(b+4)[/tex]

Now you can distribute the 12b to b and +4. This leaves you with [tex]5a^2-8b+12b^2+48b[/tex]

Now you can combine your like terms leaving you with [tex]5a^2+12b^2-40b[/tex].

Maria needs to make a total of 80 deliveries this week. So far she has completed 48 of them. What percentage of her total deliveries had Maria completed?

Answers

Final answer:

Maria has completed 60% of her total deliveries this week. This was calculated by creating a ratio of completed deliveries to total deliveries, converting this ratio to a decimal, and then converting the decimal to a percentage.

Explanation:

To find what percentage of deliveries Maria has completed, we start by creating a ratio of completed deliveries (48) to total deliveries (80). This ratio is expressed as a fraction, so we write it as 48/80.

Next, we convert this fraction to a decimal by dividing the numerator (top number) by the denominator (bottom number). So, 48 ÷ 80 = 0.6

To convert the decimal to a percentage, we multiply by 100, so 0.6 x 100 = 60%.

Therefore, Maria has completed 60% of her total deliveries so far.

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Final answer:

To calculate the percentage of total deliveries Maria has completed, divide the number of completed deliveries by the total number of deliveries and multiply by 100. Thus, Maria has completed 60% of her total deliveries.

Explanation:

To find out what percentage of total deliveries Maria has completed, we can use the method of finding a percentage of a whole. Essentially, this involves taking the number of completed deliveries, dividing it by total number of deliveries and then multiplying by 100.

In Maria's case, she's completed 48 deliveries out of a total of 80 deliveries. Therefore:

Percentage = (Number of completed deliveries / Total deliveries) x 100

So the percentage of completed deliveries = (48 / 80) x 100 = 60%

Therefore, Maria has completed 60% of her total deliveries.

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How many times greater is 8.5×108 than 3.4×105 ?

Answers

8.5*108=918
3.4*105=357
918/357=2.57143

Answer:

2.5*10^3 times greater, or 2500 times greater.

Step-by-step explanation:

Dividing 8.5*10^8 by 3.4*10^5 will yield the desired answer (which is a ratio).  Note:  108 and 105 MUST be written with the symbol " ^ " to denote exponentiation.

8.5*10^8

--------------- = (8.5 / 3.4)*10^(8-5)    =   2.5*10^3

3.4*10^5

If you are a lawyer then you passed the bar exam

Answers

conditional (original): if you are a lawyer, then you passed the bar exam

converse: if you passed the bar exam, then you are a lawyer

inverse: if you are not a lawyer, then you did not pass the bar exam

contrapositive: if you did not pass the bar exam, then you are not a lawyer


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