A string is cut into two pieces in the ratio 2 : 7. The difference between the lengths of the two pieces is 90cm. Find the length of the shorter string.

Answers

Answer 1

Answer:the length of the shorter string= 36cm

Step-by-step explanation:

Let us assume the lengths are 2x and 7x  since thery are in the ratio of 2 :7

 Such that Length of the shorter string = 2x

and the longer string = 7x  so that  the difference in Length which is 90cm can be expressed as

7x- 2x= 90

5x= 90

x 90/5

x= 18

shorter string = 2 x = 2x 18= 36cm

Longer strring = 7x 18=126cm  

       


Related Questions

If your sales are 640 and the commission rate is 7% what is the commission

Answers

Answer:

44.80$

Step-by-step explanation:

Simplify: -5(3c-9) – 9c – 7c2 +5
What’s the answer?

Answers

Answer:

ANSWER: [tex]-7c^{2} -24c+50[/tex]

Step-by-step explanation:

The value of a painting rises from $120,000 to $192,000.
Work out the percentage increase in the value of the painting.​

Answers

Step-by-step explanation:

Traders have invested $ 100,000 in the Peace Garden Center to boost the capital Mogadishu and make a profit. looga farm income to make people come to the door to take the free tickets for different values $ 0.8 adults and 0.6 children. As many as 150 tickets were sold on Friday for $ 102. produce more child tickets than adult tickets?

$192,000 - $120,000 = $72,000
= 3/5 = 60%

60% increase I think, please correct me if I am incorrect.

Please be quick
Show that x^2+5x=3

Answers

Answer:

[tex]\frac{-5 + \sqrt{37} }{2}[/tex]

Note:Have no clue if its right

Answer:

see explanation

Step-by-step explanation:

The area (A) of the rectangle = length × breadth, that is

A = BC × CA

   = (x + 3)(x + 2) ← expand using FOIL

    = x² + 5x + 6

Given that A = 9 , then

x² + 5x + 6 = 9 ( subtract 6 from both sides )

x² + 5x = 3 ← as required

–4.2 = –1.96(m − 10) + –4.2
Find variable

Answers

Answer:

m=10

Step-by-step explanation:

–4.2 = –1.96(m − 10) + –4.2

–4.2=-1.96m+19.6-4.2

-19.6=-1.96m

m=10


Gabrielle is 10 years younger than Mikhail. The sum of their ages is 40. What is Mikhail's age

Answers

Answer:

Mikhail is 25 and Gabrielle is 15

Step-by-step explanation:

g = (m-10) and g+m = 40

We'll substitute that first equation into the second

(m-10) + m + 40

2m - 10 = 40

2m = 50

m = 25

Answer:

A) G +10 = M

B) G + M = 40

A) G -M = -10  Adding A) + B)

2 G = 30

Gabrielle is 15

Mikhail is 25

Step-by-step explanation:

Please solve fast. I will mark brainliest

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I'm lazy to type a paragraph and learned this a while ago, but if my memory is correct its C

Question 24 A right triangle is shown below. B C с А 6 Which of the following equals sin A? A tan B B cos A C tan A cos B

Answers

It is C hdjdkkshakshdjndmsjdndjd

Is this correct?!?! Pls let me know

Answers

Answer:

Nope. It isn't.

Step-by-step explanation:

6^2 + 8^2 = 100, and 100 = 10^2. So that means that the thing that you chose is incorrect.

How much pure alcohol should we add to 18 gallons of 35% acid solution to obtain a solution that is 55% alcohol?

Answers

Answer:

8 Gallons

Step-by-step explanation:

8 gallons pure alcohol should we add to 18 gallons of 35% acid solution to obtain a solution that is 55% alcohol.

Calculation:

Let the amount of pure alcohol (100%) required be X.

Therefore, 18 gallons at 35% mixed with X gallons at 100% will give (X + 18) gallons at 55% of alcohol.

It means, 18×35 + X×100 = (X +18) ×55

630 + 100X = 55X + 990

100X - 55X = 990 - 630

45X = 360

X = 360 ÷ 45

X = 8 gallons

Which alcohol is consider as pure alcohol?

An ethanol is a an alcohol which is consider as pure alcohol with molecular formula C2H6OH.

To learn more about pure alcohol here.

https://brainly.com/question/21440134

#SPJ2

I will mark you the brainliest help plesdd

Answers

The slope of Line B is -1/5

What is the missing reason in the proof?
Both C and D are incorrect.

Answers

Answer:

"C" is correct answer its not incorrect

Step-by-step explanation:

Let f(x)=√x^2 - 64. Evaluate the function f(-x). What conclusion can be made?
a.) The function is an odd function.
b.) The function is both an even and an odd function.
c.) The function is an even function.
d.) The function is neither an even nor an odd function.

Answers

9514 1404 393

Answer:

  c.) The function is an even function.

Step-by-step explanation:

Either way you interpret the given function, you have ...

  f(-x) = √(-x)^2 -64 = √x^2 -64

  f(-x) = f(x) . . . . the function is an even function (only)

Which inequality is true?
0 -9 > 13
-10 > 9
0 -10 > -9
0 -13 < -10

Answers

Answer:

The last one.

1)0-9=-9

And a negative number is always smaller than a positive one

2)Negative number always smaller than positive

3)The smaller a negative number is, the closer it is to zero, so the greater it is

4)correct

What is the value of the expression 10 − ( fraction 1 over 2 )4 ⋅ 48? (1 point)

Answers

Answer:

Just want to ask if it is 10 - 1/2 × 4 × 48 right? If the expression is this then the answer is -86.

Hope this helps, thank :) !!

A Math problem I need help on

Answers

I think it’s 10x-4 but I could be wrong, sorry

Give an example of a linear function whose graph intersects with the y-axis at the same points as the graphs of the following functions.

y= x+11

y= -9x-6

Answers

Answer:

Given functions:

y= x + 11y= -9x - 6

They have different y-intercepts, therefore the line to intersect y-axis at the same points is y-axis itself.

The equation is:

x = 0

The graph is attached

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

Note. If the question is about the lines above separately, then the answer is following

The first line has y-intercept of 11, any line with same y-intercept is the answer:

y = mx + 11, where m ≠ 1

For the second line the equation is:

y = mx - 6, where m ≠ -9

Answer:

y = mx + 11, where m ≠ 1

For the second line the equation is:

y = mx - 6, where m ≠ -9

Jacob has 6.15 meters of rope. He is going to use 1.2 meters of rope to tie up his boat. How many centimeters of rope does he have left?

Answers

Answer:

495 cm

Step-by-step explanation:

Remark

When you do the subtraction, whatever is left (the decimal part) is the length in cm when multiplied by 100.

Solution

Remaining rope = starting length - what was used.

Remaining rope = 6.15 - 1.2

Remaining rope = 4.95 meters

Answer

The remaining rope = 4.95 * 100 = 495 cm

A bicycle is worth 500 dollars , decreases in value by 7.8% per year.Set up a function to model this situation.Use the model to show how much the bike will be worth after 5 years.

Answers

Answer:

$333.138

Step-by-step explanation:

Given that:

Initial value = $500

% decrease in value per year = 7.8% = 0.078

Price after t years is given by :

P(t) = initial value(1 - 0.078)^t

Where, t = number of years

Price after 5 years :

t = 5

P(5) = 500(1 - 0.078)^5

P(5) = 500(0.922)^5

P(5) = 500 *0.666276668105632

P(5) = 333.138334052816

= $333.138

this is my question ​

Answers

Answer:

3

3+3+27=33

Step-by-step explanation:

Answer:

so you would have to subtract and that would be 7=w

Step-by-step explanation:

Which inequality correctly orders the numbers -5,-3, and 2 from greatest to least?

Answers

Answer:

1) 2 > -3 > -5

Step-by-step explanation:

that is mathematically correct

what would y & x be ? PLZ HELP NEED DONE IN 20 MINUTES !

Answers

Answer:

photomath

so it would be -2x-3

Answer:

x = 6

y= -3

Step-by-step explanation:

x is always the line going across like a straight line horizontally (think of horizon)

and y goes up and down vertically

4. Communicate Precisely When you graph a quadratic function, the
y-intercept appears to be 1, and the x-intercepts appear to be -4 and 2.5.
Which values represent the solution(s) to the related equation of the
function? How can you check? Explain

Answers

Answer:

solo respondo esto por los puntos

Population of Jacksonville was 3810 and 2010 and is growing at an annual rate of 3.5% if the growth rate continues what will the approximate population in 2023

Answers

Answer:

FV= 5,958.67 = 5,959

Step-by-step explanation:

Giving the following information:

Current population (Present Value)= 3,810

Growth rate (g)= 3.5% annual

Number of periods (n)= 13 years

To calculate the future number of people (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 3,810*(1.035^13)

FV= 5,958.67 = 5,959

What is the coefficient in the following expression? 4y - 17

Answers

A coefficient is where a number is next to a variable, so 4 in 4y! Hope this helps! :)

Answer:

The coefficient of 4y-17 is 4

Step-by-step explanation:

1. Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero, what will her position be after 45 minutes?
2. Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes?
3. What will the distance between them be after 45 minutes?
h el p I really need it

Answers

Answer:

Clare will be at 9 miles an hour

Step-by-step explanation:

Four silos with circular bases are shown in the image with a diameter of 20 feet. What is the area of one of the bases?

A. 1256 sq. ft.

B. 125.6 sq. ft.

C. 314 sq. ft.

D. 62,8 sq. ft.

Answers

Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test.

What is the y-intercept of 2x-y=10

Answers

Answer:

( 0, -10 )

Step-by-step explanation:

the y intercepts is ( 0, -10 ) as u can see in this pic

Answer:

        (0, -10)

Step-by-step explanation:

We need to convert the equation to slope-intrcept form y=mx+b, where b is the y-coordinate of Y-intercept point

2x - y = 10​           {subtract 2x from both sides}

- y = -2x + 10                    {divide both sides by (-1)}

y = 2x - 10     ⇒    b = -10

Therefore y-intercept of the line is (0, -10)

A grocer has two kinds of tea: one selling for 80 cents a pound and the other selling for 60 cents a pound. How many pounds of each kind must be used to make 50 pounds worth 74 cents a pound?

Answers

Answer:

35 pounds of tea for 80 cents.

Step-by-step explanation:

Equation::

value + value = value

80x + 60(50-x) = 74*50  

80x + 60*50 - 60x = 74*50  

20x = 14*50

x = 35 lbs (amt. of 80 cent tea to use)

50-x = 15 lbs (amt. of 60 cent tean to use)

Answer:

35 pounds of tea for 80 cents.

15 pounds of tea for 60 cents.

Step-by-step explanation:

x · 80 + y · 60 = 50 · 74

x + y = 50 · (- 60)

80x + 60y= 50 · 74

- 60x - 60y = -50 · 60

20x = 50 · (74-60) = 50 · 14

x = 50 · 14/20

35 pounds of tea for 80 cents.

y = 50 - 35 =

15 pounds of tea for 60 cents.

Which value is a solution for the equation tan x/2 = -1?
A. 5pi/4
B. 7pi/4
C. 3pi/4
D. 3pi/2

Answers

Answer:

D

Step-by-step explanation:

What we have to do is to find the arc tan

x/2 = arc tan (-1)

tan is negative on the 4th and second quadrant

arc tan (-1) = 135 or 315

pi is 180 degrees

so we have;

135 is 3 pi/4

multiplied by the 2

= 6 pi/4 which is 3 pi/2

315 is 7 pi/4 which is same as 7 pi/2 when we multiply by 2

Answer:

the answer is d

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