Two numbers are of the ratio 3:5. If their difference is 18, find the numbers.

Answers

Answer 1
est Answer: say the numbers are x and y......and y being the bigger number ... If the ratio is 5:3, then difference between ratio = 5-3 = 2 ... Substituting this x = 5y/3 in equation x-y=18 we get ... therefore x = 5 * 27/3 = 5*9 = 45 .... One number is 5 more than another. their sum is 53 what are the two numbers?

Related Questions

in a parallelogram consecutive angles are _

Answers

In a parallelogram consecutive angles are supplementary.

What are the 2 types of unbiased samples?

Answers

Systematic Random Sample, Stratified Random Sample, and Simple Random Sample.

When you multiply or divide an inequality by a ______ number, you must flip the inequality symbol.

Answers

When you multiply or divide an inequality by a negative number, you must flip the inequality symbol.

is it possible for a line to pass through only one quadrant?
How about four quadrants? explain

Answers

Yes it is possible for a line to only start in one quadrant and never leave that quadrant and vice versa a line can start in one quadrant and pass into another quadrant but how will you know if you line will be in certain or multiple quadrants simple just look at your points given if you have the points (3,4) (4,5) you notice that your X's are positive and your Y's are positive there is only one quadrant were your X and Y are positive and that is quadrant 1 but lets say you have points (-4,5),(3,4) you see how one of the points have a negative X and a positive Y there is only one quadrant that has a negative X and a positive Y that is quadrant 2 and and for point (3,4) that is in quadrant 1 so your line will run through quadrant 2 and 1 

yes it is possible for a line to only be in one quadrant and it is also possible for a line to be in multiple quadrants basically it can be any place on a plane  

It is not possible for a line to pass through one quadrant. A line is a 2 dimensional shape and crosses through 2 quadrants, even if passing through the origin. If a line passes through the origin, it still only enters and exits 2 quadrants. there must be a curvature in order to cross 4 quadrants.

the midpoint of a segment is (2,-5), and one of the endpoints is (3,6). where is the other endpoint?

Answers

(2, -5) is the mid point

(3, 6) is (2+1, -5+11) is an end point

therefor the other end point should be (2-1, -5-11) = (1, -16)

You could visualise this better if you draw it

Hope this helps, I don't really know a better way to explain it, sorry =P

If M(-8, 12) is the midpoint of segment PQ, and P(8, 0), find the coordinates of Q.

Answers

P(x1,y1)= (8,0)
Q(x2,y2)=(a,b)
M(x,y)=(-8,12)
x1+x2/2=-8;y1+y2/2=12
8+x2=-16;0+y2=24
x2=-24;y2=24
Q(x2,y2)=(-24,24)

"Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not exist, enter DNE.)
f (x) = cos(πx/2)

Answers

Answer: The derivate is f'(x) = -sin(πx/2)*(π/2)

Step-by-step explanation:

We want the value of the derivate at each point marked:

As you may know, the derivate of cos(x) is equal to -sin(x)

And in our case:

f(x) = cos(πx/2)

f'(x) = -sin(πx/2)*(π/2)

Where the rule used is that the derivate of f(g(x)) is equal to f'(g(x))*g'(x)

Now, as you may see, in both the marked points the curve changes of direction, so the tangent line in that point must be zero, letsinput the values of x in the derivate and see if this is true:

f'(0) = -sin(π*0/2)*(π/2) = -sin(0)*(π/2) = 0

f'(2) = -sin(π*2/2)*(π/2) = -sin(π)*(π/2) = 0

So this makes sense.

find the missing angle of the triangle.

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Is there a picture of the triangle?

Write a proportion that can be used to find the cost of 10 notebooks if 3 notebooks cost $1.98.

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The solution to the problem is as follows:


For 3 notebooks you pay $1.98 so the ratio is 1:0.66.
For 10 notebooks, then we could scale the ratio and it will become 10:6.60. So they will cost you $6.60.


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3^x : write in terms of base e and simplify! ...?

Answers

3^x : write in terms of base e would 

3x=e^ln3^x

 =e^xln3
The given function is exponential. Meanwhile [tex]<b>change of base</b>[/tex] has something to do with logarithms. So we convert the function to logarithm function, change to the required base and convert back to exponential function.

Let

[tex]y = {3}^{x} [/tex]

Writing the above exponential equation as a logarithmic equation, we obtain;

[tex] log_{3}(y) = x[/tex]

We can apply the change of base formula to obtain,

[tex] \frac{ log_{e}(y) }{ log_{e}(3) } = x[/tex]

Or

[tex] \frac{ ln(y) }{ln(3) } = x[/tex]

We can cross multiply to obtain;

[tex] ln(y) = x ln(3) [/tex]

Taking logarithm of both sides to base e, we obtain;

[tex] {e}^{ ln(y) } = {e}^{x ln(3) } [/tex]

This implies that,

[tex]y= {e}^{x ln(3) } [/tex]
But we know that,
[tex]y = {3}^{x} [/tex]
Hence
[tex] {3}^{x} = {e}^{x ln(3)} [/tex]



A box has a width 9 inches less than its height and a length 7 inches more than its height.
a. If h is the height of the​ box, write a polynomial that represents the volume of the box.
b. Use this polynomial to calculate the volume for h​ = 17 inches.

Answers

So everything in this problem is in terms of height (h). We'll abbreviate width to w and length to l and volume to v

l=h+7
w=h-9

a.
volume is height x width x length

v=h*(h+7)*(h-9)

now we have to multiply these values

h*(h+7)=h^2+7h

(h^2+7h)*(h-9)=h^3-9h^2+7h^2-63h=h^3-2h^2-63h

b.
now we plug in h=17
v=17^3 -2(17)^2 -63(17) = which comes out to 2686

note: **i suggest going through these steps on your own mostly because it's late and i'm tired and that seems like an awfully large number so you may want to check it

An increase in total assets can be financed by an increase in which of the following capital components:


a. debt

b. preferred stock

c. common equity

d. All of the above ...?

Answers

An increase in total assets can be financed by an increase debt, preferred stock and common equity. So the answer is d. All of the above.

your weekly wage is $400 what is your annual?

Answers

400 times 52 equals 20800
28000
$400 x 52 = $28000

An electrician charges a $50 house call fee and $65 per hour for the work. Which algebraic expression represents this situation to represent the total cost for h hours of work?

Answers

$50 house call fee is a FIXED constant. There is no variable it multiplies to. $65 is attached to h because it represents how much you earn PER hour.

Thus:
$50+$65h
Final answer:

The algebraic expression is Total Cost = 65h + 50.

Explanation:

To represent the total cost for h hours of work, we need to consider the house call fee of $50 and the hourly rate of $65. The total cost will depend on the number of hours worked.

We can calculate the total cost using the expression: Total Cost = (Hourly Rate * Number of Hours) + House Call Fee.

Therefore, the algebraic expression that represents this situation is: Total Cost = 65h + 50.

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If you subtract the death rate from the birth rate of a population, you will calculate what?

A. the arithmetic growth rate.
B. the expansion rate.
C. the carrying capacity.
D. the intrinsic growth rate.


Answers

The best and most correct answer among the choices provided by your question is the third choice or letter C.

If you subtract the death rate from the birth rate of a population, you will calculate the carrying capacity.


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Subtracting the death rate from the birth rate of a population calculates its intrinsic growth rate, expressed as dN = (b - d)N, where 'r' is the intrinsic rate of increase.

When you subtract the death rate (D) from the birth rate (B) of a population, you calculate the intrinsic growth rate of the population. The birth rate is typically expressed on a per capita basis, shown as B = bN, where 'b' represents the per capita birth rate and 'N' is the number of individuals in the population. Similarly, the death rate is expressed as D = dN, where 'd' is the per capita death rate. To find the population growth rate at a specific point in time, differential calculus is used to obtain an instant-specific measurement:

dN = (b - d)N

This formula simplifies the relationship between the birth and death rates, where 'b - d' is substituted with 'r', representing the intrinsic rate of increase. Therefore, the correct answer to the student's question is D. the intrinsic growth rate.

Temperature rose 9°f in 3 hours if the starting wad -5°f what was the final temperature

Answers

4F is the final temp.

A jug of juice holds 8 cups. convert 8 cups to pints

Answers

8 cups convert to pints = 4 pints

Further explanation

7 main quantities have been determined based on international standards, namely:

1. Length, meters (m)2. Time, second (s)3. Mass, kilograms (kg)4. Temperature, kelvin (K)5. Light intensity, candela (cd)6. Electric current, ampere (A)7. Amount of substance, mol (m)

Volume is a derivative quantity derived from the length

The unit of volume can be expressed in liters or milliliters or cubic meters

The conversion is

1 cc = 1 cm³

1 dm = 1 Liter

1 mL = 1 cm³

1 L = 1 dm³

The other common units for US standart volume are :

Fluid OuncesCupsPintsQuartsGallons

The conversion for all those units :

1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces

The conversion for pints and cups :

[tex]\large{\boxed{1\:pints=2\:cups}}}[/tex]

A jug of juice holds 8 cups

so 8 cups = 8 : 2 pints

8 cups = 4 pints

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A vineyard has 145 acres of Chardonnay grapes.

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Keywords: volume,pints, cups, a jug, juice

How to know if true or false?? HELP ASAP thank you!

picture added.

Answers

True
Because a negative square root is an i

Find the area of the regular polygon. Give the answer to the nearest tenth.

dodecagon with a perimeter of 108 cm ...?

Answers

A regular dodecagon is a polygon with 12 equal sides.
Length of each side = 108/12 = 9 cm.

Length of the apothem = (9/2)/tan 15 = 9/2tan 15 = 16.79 cm

Area of each triangle = 9/2(16.79) = 75.57 cm^2

Therefore, area of the dodecagon = 12(75.57) = 906.9 cm^2
Each side is 9 cm long 


a 12 sided regular polygon is composed of 24 right triangles with one side

half the length of a side = 4.5 cm 

the other side is 4.5 / tan (360/24) = 4.5 / tan(15) 


A = 24 (1/2) 4.5^2 / tan(15) = 906.9 cm^2 


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can u show work 39472/78 ...?

Answers

We will use long division:
78 x = 390
Subtracting, then bringing down 7
47 is smaller than 78 so
78 x = 0
Bringing down 2, we get 472
78 x = 468
Subtracting, the remainder is 4

The answer is 506 with a remainder of 4.

If 6 is 24% of a number, what is 40% of the same number?

(A) 8
(B) 10
(C) 15
(D) 20

Answers

the answer is 10.the unknown number is 25.

To find 40% of the number where 6 is 24%, we first determine the whole number by dividing 6 by 0.24 to get 25. Then we calculate 40% of 25, which is 10.

If we know that 6 is 24% of a number, we can find the whole number by dividing 6 by 0.24. Once we have the full number, we can calculate 40% of it. Let's do the calculation step by step.

Calculate the whole number using the given percentage: Whole number = 6 / 0.24.

Perform the division to find the whole number: Whole number = 25.

Calculate 40% of the whole number: 40% of 25 = 0.40 * 25.

Perform the multiplication to find 40% of the number: 40% of 25 = 10.

Therefore, 40% of the same number is 10.

solve for x. round to nearest tenth if needed.


1. 7r-7=2r+18

a.r=-5
b.r=5
c.r=2.2
d.r=1.2


2. 2x+12=18-x

a.x=3
b.x=10
c.x=6
d.x=2



3. 8x-3=15x+18

a.x=-3
b.x=3
c.x=2.1
d.x=0.9



4. 6y-6=4y+16

a.y=2.2
b.y=-2.2
c.y=11
d.y=5


5. 3(x-4)=5(x+2)

a.x=11
b.x=-11
c.x=1
d.x=-1

Answers

7r-2r=18+7→5r=25→r=5
-----------------
2x+x=18-12→3x=6→x=2
---------------
8x-15x=18+3→-7x=21→x=-3
----------------
6y-4y=16+6→2y=22→y=11
--------------
3x-12=5x+10→3x-5x=10+12→-2x=22→x=-11

On solving the linear equations given, we get the values as 5, 2, -3, 11 and -11 for the equations  7r - 7 = 2r + 18, 2x + 12 = 18 - x, 8x - 3 = 15x + 18, 6y - 6 = 4y + 16 and 3(x - 4) = 5(x + 2) respectively.

What is Linear Equation?

Linear equations are equations which includes one or more variables and constants with the highest degree of the variable being 1.

1. 7r - 7 = 2r + 18

  Taking the variables on one side and constants on the other side,

  7r - 2r = 18 + 7

  5r = 25

  r = 5

2. 2x + 12 = 18 - x

   2x + x = 18 - 12

   3x = 6

   x = 2

3. 8x - 3 = 15x + 18

   8x - 15x = 18 + 3

   -7x = 21

   x = -3

4. 6y - 6 = 4y + 16

   6y - 4y = 16 + 6

   2y = 22

   y = 11

5. 3(x - 4) = 5(x + 2)

   Multiplying each term inside the bracket by the term outside,

   3x - 12 = 5x + 10

   3x - 5x = 10 + 12

   -2x = 22

   x = -11

Hence we got the values of the unknowns as 5, 2, -3, 11 and -11 for the equations  7r - 7 = 2r + 18, 2x + 12 = 18 - x, 8x - 3 = 15x + 18, 6y - 6 = 4y + 16 and 3(x - 4) = 5(x + 2) respectively.

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name all opisties of -12

Answers

One opposite of -12 I know is 12 because you just take away the -
The opposite of -12 is 12 

Which of the following is not an example of using the distributive property to multiply 12 times 22?
a. 12(20 + 2)
b. 22(10 + 2)
c. 10(2 · 22)

Answers

C does not mean 12 x 22 as you do what is inside the brackets first and this would mean it is 2.22 x 10
c 10 (2.22)

It doesn't have the correct format and is mixed up.

Solve the inequality.

p – 9 < –9

Answers

I hope this helps you




p-9 < -9


p-9+9 < -9+9


p <0

Compare 0.409 and 0.490 with >,<,=

Answers

0.409 < 0.490

hope this helps you

The distance a spring will stretch varies directly with how much weight is attached to the spring. if a spring stretches 9 inches with 100 pounds attached, how far will it stretch with 90 pounds attached? round to the nearest tenth of an inch.

Answers

9/100 = x/90
Cross multiply to get 810 = 100x
Divide both sides by 100 to get x = 81 inches

For a $1,000 loan at a rate of 16 3/4 % for 5 years, the simple interest is a. $83.75
b. $167.50
c. $500.00
d. $837.50

Answers

d 837.5 is the right answer

What is the inverse of f(x)=-3x^3 6?

Answers

I hope this helps you

Clark Kent walks 3 miles west and then 4 miles north. How far is it for Superman to fly in a straight line back to his starting point? (It makes a right triangle.)

Answers

You can use the Pythagorean theorem to solve this problem. 3 miles west would be 3 units to the left on a graph, and 4 miles north would be four units up on a graph. The last line would be the hypotenuse. Now, if you know about special right triangles, then it can be recognized that the triangle is a 3-4-5 triangle, and the hypotenuse is 5 units. Otherwise, the Pythagorean theorem can be used.

a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
sqr 25=sqr c^2
5=c 
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