The ratio of Val's savings to Dan is 2:3 at first. After Dan spent P3000.00, Val's saving became 11/3 more of that Dan's remaining savings. What is the total amount of saving the two had at first

Answers

Answer 1

Answer:

P.7500.00

Step-by-step explanation:

We are told that:

The ratio of Val's savings to Dan is 2:3 at first.

Now, Dan spent P3000.00 and Val's saving became 1⅓ more of that Dan's remaining savings.

Let's say the total amount of savings they had at first was x.

Thus;

Val had: 2x/5

Dan had: 3x/5

Now, Dan spent P3000.00.

So amount Dan has left = (3x/5) - 3000

We are told Val's savings is now 1⅓ = 4/3 times that of Dan's remaining savings

Thus; 2x/5 = (4/3)((3x/5) - 3000)

2x/5 = 12x/15 - 4000

Multiply through by 15 to get;

6x = 12x - (3000 × 15)

6x = 12x - 45000

Rearranging, we have;

12x - 6x = 45000

6x = 45000

x = 45000/6

x = P.7500


Related Questions

you have 15 milk chocolate Valentines and 10 dark chocolate Valentine.What is the probability that the first Valentine handed out is milk chocolate and the second is dark chocolate.​

Answers

Answer:

15/25 cuz 25 is the total and there's 15 milk. 2nd as dark chocolate would then be 10/24 cuz you've already taken one chocolate. Multiply by both would be 3/5 × 5/12 = 1/4. Percentage would then be 1/4 = 0.25 , and multiply that by 100% would then be 25%

Answer:

probability of getting milk chocolate =3/5

while

the probability of getting dark chocolate is 2/5

Step-by-step explanation:

milk chocolate=15

dark chocolate=10

there fore total=25

probability of getting milk chocolate=15/25. =3/5

while

the probability of getting dark chocolate=10/25=2/5

that's the method I know but I'm sorry if I got it wrong

I hope u get what you are looking for

ANSWER ASAP PLS YEY BRAINLIEST AND STUFFsolve for x 2/3=x-1/5

Answers

Answer:

x = 13/15

Step-by-step explanation:

If x - 1/5 = 2/3,

you can find x by doing 2/3 + 1/5.

2/3 = 10/15

1/5 = 3/15

10/15 + 3/15 = 13/15!

Hope this helps! Happy Holidays! XD

What is the area of a rectangle that is 11ft by 2ft?

Answers

Answer: 22 ft²

Step-by-step explanation:

To find the area of a rectangle, we multiply the length and width. It doesn't matter which is which as we get the same answer in the end.

Given information:

Length = 11 ft

Width = 2 ft

Area = length x width

Area = 11 ft x 2 ft = 22 ft²

You'll notice the unit is feet squared or ft², because feet x feet gives us feet².

multiply l and w to get 22

Sheila walked 7.7 km to the library.



Using the table above, about how many miles did she walk?

Answers

Answer:

Sheila walked 6 Miles.

Step-by-step explanation:

6 Miles

If the slope is 3 what does it represent using this table

Answers

Answer:

The table represents a linear function.

The graph of linear function y = 3x is attached below.

Step-by-step explanation:

Given the table

Number of Hours           1             3                 5

Number of Tents             3            9                15

Given that the slope is 3.

Finding the slope between (1, 3) and (3, 9)

Slope = (y₂-y₁) / (x₂-x₁)

          = [9-3] / [3-1]

           = 6 / 2

           = 3

Finding the slope between (3, 9) and (5, 15)

Slope = (y₂-y₁) / (x₂-x₁)

          = [15-9] / [5-3]

           = 6 / 2

           = 3

As the value of slope remains constant i.e. slope = m = 3.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (1, 3)

[tex]y - 3 = 3 (x-1)[/tex]

[tex]y-3 = 3x-3[/tex]

[tex]y = 3x-3+3[/tex]

[tex]y = 3x[/tex]

Comparing with the slope-intercept form of a linear function of line

y = mx+b     where m is the slope and b is the y-intercept

slope = 3 and y-intercept b = 0

Therefore, the table represents a linear function.

The graph of linear function y = 3x is attached below.

IF a= 6 and b= 7, then 4a(3b+5) + 2b =?

Answers

Answer:

64

Step-by-step explanation:

4a(3b+5)+2b

Substitution

4(6)[3(7)+5]+2(7)

Order of operations (PEMDAS)

4(6)[21+5]+2(7)

4(6)+26+2(7)

24+26+14

50+14

64

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, be safe and wash your hands. Happy Holidays.

The answer is 64 I think

Pedro had 17.70 in his wallet he spent 3.25 on a drink . How much does he have left? Estimate the answer by rounding to the nearest whole numbers before subtracting

Answers

Answer:

15

Step-by-step explanation:

$17.7 rounded to $18

$3.25 rounded to $3

$18 - $3 = $15

I WILL GIVE BRAINLIEST

Answers

Answer:

slope = 4/1 or 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Use the slope formula. change in y/change in x. The change in y is 4 because if your subtract the y coordinate 4 from the y coordinate 8, you get 4. The change in x is 1 because if you subtract the x coordinate 2 from the x coordinate 3, you get 1. 4 (change in y)/1 (change in x) is 4. Hope this helps!

Evaluate u+xy for u=17 x=4 and y=8

Answers

The answer is 49 I think
The anser 49 17+ 4 multiply 8

Duela de 1a 1 1/2 x 10 x 3, $ 120.00 m2

Answers

¡Hola!

¿Qué puede significar una duela de 1 a 1 1/2 x10x3 $ 120.00m2?

Este ejercicio es para que puedas acomodar la información para que quien la lea tenga una forma de entenderla claramente así:

1. Primero podríamos decir que una duela es una tabla de madera que se curva y contornea los barriles o también las tablas de los pisos.

2. Lo siguiente es para confirmar que la mesa es de excelente calidad, es decir, Primera o.

3. 1, puede hacer referencia a una unidad.

4. 1/2 x10x3 este puede ser su volumen en centímetros 1 / 2cm de alto, 10cm de largo y 3cm de ancho.

5. Por último, el precio de la duela, 120.000 dólares el metro cuadrado.

Entonces podemos organizar todo esto:

Duela de Primero, 1 unidad; 1/2 cm de alto, 10cm de largo y 3cm de ancho, con un precio de $ 120.00 el metro cuadrado.

¡Espero haber ayudado!

a park is 50 metre long and 30 metre broad find its area and the cost of grassing it rupees 70 per square metre​

Answers

Answer:

Area = 1500 Sq m

Cost of grassing = ₹105000

Step-by-step explanation:

Area of the park = 50*30 = 1500 Sq m

Cost of grassing = 1500*70 =₹ 105000

Answer fast please
Brainliest for correct answer

Answers

It’s the third option

Answer:

Put the arrow facing the left with a non-filled up dot at the point between 31 and 32.

Step-by-step explanation:

x < 31.5 means that x is lesser than 31.5 and so x cannot be 31.5 itself.

< means lesser.

> means more than.

A filled up dot means that the number itself is included in the values of x.

A non-filled up dot means that the number itself is not included in the values of x.

An arrow facing left means lesser than that number.

An arrow facing right means more than that number.

Since 31.5 is not included in the values of x, we will be using the non-filled up dot.

what is 12x-7 where x=4

Answers

41, if I’m mistaken please let me know.

Answer:

41

Step-by-step explanation:

12x4=48 -7= 1 and that's my explanation

Suppose y varies directly with x. When
x is 3, y is 15. What is y when x is 10?

Answers

Answer:

Y= 30

Step-by-step explanation:

Because proportionally it makes sense as well as it multiplication.

A submarine out of death of 2167 feet ascends to a depth of 609ft. How far did the submarine ascend?

Answers

Answer:

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new ... Roman Civilization began in 508 B.C. and ended in 476 A.D. How long did Roman Civilization last? 476-(-508) = 476+508 = 984 ...

51) Write the equation of the line passing through (-2, 5) and perpendicular x + 3y = 15.​

Answers

Answer: plz mark me brainliest

Step-by-step explanation:

I need points to ask a question

Please help me I need help

Answers

Answer:non

Step-by-step explanation:

Answer:

It's nonproportional

please awnser use image for question

Answers

1 C
2 A
3 B
I hope this helps

what is the graph of f(x) = x

Answers

Answer:

(0,0) and (1,1)

Step-by-step explanation:

On a typical day, the snow on Pike Mountain melts at a rate modeled by the function

M(t), given by M(t)=π/6sin(πt/12)

A snow maker adds snow at a rate modeled by the function S, given by

S(t)=0.006t^2−0.12t+0.87

Both M and S have units in inches per hour and t is measured in hours for 0≤t≤6. At time t = 0, the mountain has 40 inches of snow.

a. How much snow will melt during the 6 hour period? Indicate units of measure.
b. Write an expression for I(t), the total number of inches of snow at any time t.
c. Find the rate of change of the total amount of snow at time t = 3.

Answers

Answer:

a. 2in

b. [tex]l(t)=0.002t^{3}-0.06t^{2}+0.87t+2cos(\frac{\pi}{12}t)+38[/tex]

c. l'(3)=0.1938 in/hr

Step-by-step explanation:

a.

In part a, the problem is asking us to find how much snow will melt during the 6 hour period. In order to do so we need to take the M(t) function and integrate it in the given period of time, so we get:

[tex]\int\limits^6_0 {\frac{\pi}{6}sin(\frac{\pi}{12}t)} \, dt[/tex]

So now we solve:

[tex]\frac{\pi}{6}\int\limits^6_0 {sin(\frac{\pi}{12}t)} \, dt[/tex]

this is a known integral, so we get:

[tex]\frac{\pi}{6}[-\frac{12}{\pi}cos(\frac{\pi}{12}t)]^{6}_{0}[/tex]

we can simplify this so we get:

[tex]-2[cos(\frac{\pi}{12}t)]^{6}_{0}[\tex]

[tex]-2[cos(\frac{\pi}{12}(6))-cos(\frac{\pi}{12}(0))][/tex]

[tex]-2[cos(\frac{\pi}{2})-cos(0)][/tex]

[tex]-2[0-1][/tex]

2 in

b)

For part b they want us to write an expression for l(t), the total number of inches of snow at any time t.

in order to do so we need to find an expression for the rate of change of snow. A snowmaker is adding some snow while another amountn of snow is melting, so this rate of change is found by subtracting the two functions, so we get:

l'(t)=S(t)-M(t)

so:

[tex]l(t)=\int {(0.006t^{2}-0.12t+0.87-\frac{\pi}{6}sin(\frac{\pi}{12}t))} \, dt[/tex]

so we integrate this to get:

[tex]l(t)=\frac{0.006}{3}t^{3}-\frac{0.12}{2}t^{2}+0.87t+2cos(\frac{\pi}{12}t)+C[/tex]

and we can simplify this:

[tex]l(t)=0.002t^{3}-0.006t^{2}+0.87t+2cos(\frac{\pi}{12}t)+C[/tex]

so now we need to find what C is equal to, we can use the fact that l(0)=40in so we get:

[tex]40=0.002(0)^{3}-0.006(0)^{2}+0.87(0)+2cos(\frac{\pi}{12}(0))+C[/tex]

which yields:

40=2+C

so

C=40-2

C=38

So the final function is:

[tex]l(t)=0.002t^{3}-0.06t^{2}+0.87t+2cos(\frac{\pi}{12}t)+38[/tex]

c)

for part c we need to find the rate of change of the total amount of snow at time t=3, so in this case we can use the equation we found previously:

l'(t)=S(t)-M(t)

[tex]l'(t)=(0.006t^{2}-0.12t+0.87-\frac{\pi}{6}sin(\frac{\pi}{12}t))[/tex]

and substitute t=3

[tex]l'(3)=(0.006(3)^{2}-0.12(3)+0.87-\frac{\pi}{6}sin(\frac{\pi}{12}(3)))[/tex]

which yields:

l'(t)=0.1938 in/hr

What is the cos(A) as a fraction

Answers

Answer:

cos A= 8/17

Step-by-step explanation:

cos theta = adj / hyp

The probability that a women likes the color blue is 10%. The probability of being a women is 40%.What is the probability that a person likes the color blue given that they are a woman?​

Answers

Answer:

The probability that a person likes the color blue given that they are a woman=0.25%

Step-by-step explanation:

We are given that

The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]

The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]

We have to find the probability that a person likes the color blue given that they are a woman.

We know that

Conditional probability formula

[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]

The probability that a person likes the color blue given that they are a woman

=[tex]\frac{0.1}{0.4}[/tex]

[tex]=\frac{1}{4}=0.25[/tex]

Hence, the probability that a person likes the color blue given that they are a woman=0.25%

What is the value of x in the figure shown below?
650
35°
Respond in the space provided.

Answers

Answer:

[tex]x=100[/tex]

Step-by-step explanation:

[tex]From\ the\ triangle\ given,\\Angles\ measuring\ 65\ and\ 35\ are\ interior\ opposite\ to\ x.\\Hence,\\As\ we\ know\ that\ the\ sum\ of\ two\ interior\ opposite\ angles\ will\ be\\ equal\ to\ the\ exterior\ angle.\\Here,\\35+65=x\\x=100[/tex]

Evaluate the expression shown for x = 9.
5
--X+7
6
0
-13.
ܝ
2.

Answers

The answer is be !! -1/2 don’t forget the negative sign

Answer: B or -I/2

Step-by-step explanation: I did this question

Which list shows the numbers in order from least to greatest?

479, 4.79, 4.709


479, 4.709, 4,79

4.709, 479, 4.79

4.79, 479, 4.709

4.79, 4.709, 479

Answers

The answer would be 479, 4.79, 4.709
The actual answer would be 4.709, 4.79, 479

2 circle graphs. One circle graph is titled Freshmen Movie Preference. 38 percent is comedy, 27 percent is horror, 23 percent is drama, 9 percent is romance, 3 percent is documentary. Circle graph 2 is titled Senior Movie Preference. 19 percent is comedy, 4 percent is horror, 71 percent is drama, 1 percent is romance, 6 percent is documentary. The freshman and senior classes were surveyed on movie preference. Each class has 100 students. Which statements are true? Check all that apply. More seniors like drama than freshmen. More freshmen like comedy than seniors. Only 4 seniors prefer horror movies. Twice as many seniors like horror than freshmen. Twice as many freshmen like comedy than seniors.

Answers

Answer:

you probably got the answer already but its a, b, c, and e

Step-by-step explanation:

i just got the answer

Answer:

abce

Step-by-step explanation:

Find any points of discontinuity for y = 5x+6/x2+6x+9

Answers

Answer:

x = -3 is the point of discontinuity.

Hence, option B is correct.

Step-by-step explanation:

Given the expression

[tex]y=\frac{5x+6}{x^2+6x+9}[/tex]

In order to determine the discontinuity, the denominator must be 0.

so let us solve the denominator to get the values of x

[tex]x^2+9x+9\:=0[/tex]

[tex]\left(x+3\right)^2=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x+3=0[/tex]

Subtract 3 from both sides

[tex]x+3-3=0-3[/tex]

[tex]x = -3[/tex]

Therefore, x = -3 is the point of discontinuity.

Hence, option B is correct.

How many degrees are in a 29 sided figure?

Answers

Answer:

4860 degrees

Step-by-step explanation:

Triangle=180

Square=360.

The pattern: increase by 180.

Triangle=3 sides.

29-3 is 26.

26*180+180

4860.

Hope this helps :D

Ramon earns $1,690 each month and pays $53.60 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

3.1%

Step-by-step explanation:

divide his electricty payment by his monthly pay

Could someone help bc I don’t know

Answers

Answer:

A. 56 is greater than 37

B. -1 is less than 2

C. -5 is less than 0

D. -4 is greater than -5

E. -6.0 is equal to -6

Step-by-step explanation:

These are the answers because:

1) When we are comaparing positive numbers, the greater the number, the higher value it has, however, when we are comparing negative numbers, the higher the number, the less value it has.

Hope this helps! :D

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