jar contains pink and green marbles in the ratio 3 : 4. When John replaces 5 of the green marbles with 8 pink marbles, the ratio becomes 29 : 23. The ratio of the total number of marbles in the jar after replacement to the total number of marbles in the jar originally is : .

Answers

Answer 1

Answer:

52:49

Step-by-step explanation:

pink:green

The ratio of pink to green marbles is

3k:4k

He removes 5 green marbles and adds 8 pink marbles.

Now the ratio of pink to green marbles is

(3k + 8):(4k - 5)

This rario is equal to 29:23.

(3k + 8)/(4k - 5) = 29/23

29(4k - 5) = 23(3k + 8)

116k - 145 = 69k + 184

47k = 329

k = 7

Original amounts:

3 * k = 3 * 7 = 21 pink

4 * k = 4 * 7 = 28 green

Original total = 21 + 28 = 49

Amounts after replacement:

3k + 8 = 3(7) + 8 = 29 pink

4k - 5 = 4(7) - 5 = 23 green

Total after replacement = 23 + 29 = 52

Answer: The ratio of the total number of marbles in the jar after replacement to the total number of marbles in the jar originally is 52:49.


Related Questions

what's 1+1 will mark branleyist

Answers

Answer:2

Step-by-step explanation:

Window. lol just kidding, I’d be surprised if you got the refract. Anyway the answer might be 2. Let me grab my calculator

5g + 4
h
g = 2, h = 2
Need help

Answers

Answer:

18

Step-by-step explanation:

PEMDAS

so first you multiply. since g=2 5×2 =10and since h=2 4×2=8 next you add 10+ 8 which is 18 10+8=18

I hope this helped

find the profit or loss percent of a goat which was bought at rupees 1450 and sold at rupees 1740​

Answers

Answer:

20% profit

Step-by-step explanation:

Given:

Cost = 1450Sold for = 1740

Profit:

1740 - 1450 = 290

Profit percent:

290/1450*100% = 20%

Answer:

c.p=1450

s.p=1740

profit=s.p-c.p

=1740-1450

=290

Find approximate solution(s) for the equation in the interval -pi < x < pi . Round to three decimal places. cot x = 2 sec x

Answers

Answer: C

Step-by-step explanation: i just had that answer

Answer:

C

Step-by-step explanation:

I did the test

HELP PLEASE ASAP how do i solve this question please help asap

Answers

Answer:

18 is the correct answer

solve for y 4y-36x=28

Answers

Answer:

[tex]y = 9x + 7[/tex]

Step-by-step explanation:

To solve for y, our goal is to get it isolated on one side of the equation.

[tex]4y - 36x = 28[/tex]

Let's add [tex]36x[/tex] to both sides of the equation.

[tex]4y = 36x + 28[/tex]

Now divide both sides by 4.

[tex]y = 9x + 7[/tex]

Hope this helped!

Answer:

4y-36x = 28........... :4

y-9x = 7

y = 7+9x or y = 9x+7

-3x - 6x = ? what's the answer

Answers

Answer:

[tex]-9x[/tex]

Step-by-step explanation:

Add/Subtract the terms:

[tex]-3x-6x=-9x[/tex]

Determine the value of x in the figure.
Question 20 options:

A)

x = 9

B)

x = 3

C)

x = 6

D)

x = 4.5

Answers

Step-by-step explanation:

Hey there!

Your required answer is option B.

Here,

Given,

The figure is an equilateral triangle with, side (7x+9) and (x+27).

By the defination of equilateral triangle we have,

All sides of equilateral triangle are equal.

So,

[tex]( 7x+ 9) = x + 27[/tex]

Simplify them to get answer.

[tex]7x - x = 27 - 9[/tex]

[tex]6x = 18[/tex]

[tex]x = \frac{18}{6} [/tex]

Therefore the value of x is 3.

Hope it helps...

The value of x in the figure is:

B) x = 3

How to determine the value of x in the figure?

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The signs on the three sides of the triangle indicate that all the sides of the figure are equal. Thus, we can say:

7x + 9 = x + 27

7x - x = 27 - 9

6x = 18

x = 18/6

x = 3

Therefore, the value of x is 3.

Learn more about Trigonometry on:

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Rachel enjoys outdoors. Today she wakes 5 2/3 miles in 2 2/3 hours. What is Rachels unit walking rate in miles per hour and in hours per mile​

Answers

Answer:

2 1/8 mph.

Step-by-step explanation:

Distance= time x speed

Same way, Distance divided by time=speed.

In this situation, just divide 5 2/3 by 2 2/3.

Hope this helps!

What is 6.4 rounded to the nearest number!!!!!!!!!!!!!

Answers

Answer:

6

Step-by-step explanation:

6

Answer:

6

Step-by-step explanation:

Find the number in the whole number place

6

6

and look one place to the right for the rounding digit on the right side of the decimal point

4

4

.Round up if this number is greater than or equal to

5

5

and round down if it is less than

5

5

.

6

do 100.3 m equal 10.03 hectometers?​

Answers

Answer:

Step;      This conversion of 10.03 kilometres to hectometres has been calculated by multiplying 10.03 kilometres by 10 and the result is 100.3 hectometres.-by-step explanation:


WILL GIVE BRAINLIEST Chapter 12 Probability Review
1. (a) You draw a marble from a bag with one orange marble, three purple marbles, and two
yellow marbles. Then you roll a die. Draw a tree diagram of the sample space.
REMEMBER:
2. (a) You randomly select
two cards from a
standard 52 card deck.
What is the probability
that both cards are a
heart if you replace the
(b) You randomly select two
marbles from a bag of 3 green, 2
red, and 5 blue marbles. What is
the probability that both
marbles are blue if you do not
replace the marble each time?
If independent:
P(A and B) = P(A) P(B)

Answers

Krkdkfkdjdjdjfjdjrkdkdkddddjdjdjjddjdjjd82837483748384844738584847488483843884844884848484843djdjdjdjjddjdjjdjdjdhddhhdjdjddjjddjdjdjdjjdjdjddziiiiwiw. IIiwis87888888i8£{£}€~€,£ jkxjdjeidddjejd

PLSSSSSSSSSSSSS HELPPPPPPPPPPPP
Find the number if:

Answers

Step-by-step explanation:

Let the number be x

1 2/3% × x = 4.75

5/3% × x = 4.75

(5/3)/100 × x = 4.75

5/3 × 1/100 × x = 4.75

5x/300 = 4.75

5x = 300 × 4.75

x = (300 × 4.75)/5

x = 1425/5

x = 285

Someone help you know lol plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

d(3) = - 25

Step-by-step explanation:

Using the recursive formula with d(1) = 3, then

d(2) = d(1) - 14 = 3 - 14 = - 11

d(3) = d(2) - 14 = - 11 - 14 = - 25

Thus the 3 rd term in the sequence is - 25

Why is the answer true?

Answers

Hello, one way to see it is as below

[tex]\displaystyle F(2)-F(1)=\int_1^2 F'(t) dt=\int_1^2 G'(t) dt=G(2)-G(1)[/tex]

Another way is to notice that F'(x)=G'(x) means that F(x) and G(x) are only different from a real constant that we can note a, it means that

[tex](\forall x \in \mathbb{R}) \ (F'(x)=G'(x)) => (\exists a \in \mathbb{R});(F(x)=G(x)+a)[/tex]

and then F(2)-F(1)=G(2)-G(1)

thanks

Help Anyone please? Anyone

Answers

Step-by-step explanation:

Hey there!!!

Here, ABCD is a parallelogram.

We know that the one property of a parallelogram is:

It's opposite angle are congruent or equal.

So,

3x-10° = x+45°

or, 3x - x = 45°+10°

2x = 55°

[tex]x = \frac{55}{2} [/tex]

Therefore the measure of angle x is 27.5°.

Hope it helps....


Solve the system by the substitution method.
X-6y = 6
3x - 18y = 7

Answers

Hi I need help with my work can you help me please

Please help! Will give Brainliest :D
A delivery company uses cars, cargo vans, and semitrailers. The company uses its cargo vans to deliver packages to locations at a 75-mile radius
from the warehouse. If the distance to the delivery location is within 8 miles of the delivery boundary, a cargo van will still be used. The company
uses the other vehicles for any distance outside this range.

Write an inequality to represent the instances when a vehicle other than a cargo van is used, where x is the distance of a location from the warehouse.

Answers

Given that:

The company uses its cargo vans to deliver packages to locations at a 75-mile radius  from the warehouse.

If delivery location is within 8 miles of the delivery boundary, a cargo van will still be used.

To find: The inequality to represent the instances when a vehicle other than a cargo van is used.

Solution:

Let x is the distance of a location from the warehouse.

Cargo van will be used if delivery location is within 8 miles of the delivery boundary.

Minimum distance for delivery = 75-8 = 67 miles.

Maximum distance for delivery = 75+8 = 83 miles.

So, the company  uses cargo vans for any distance in the range 67 miles to 83 miles. So,

[tex]67\leq x\leq 83[/tex]

Therefore, the required inequality is [tex]67\leq x\leq 83[/tex].


HELP ME PLEASEEE!!!!!

Answers

Answer:

what do you need help with

Step-by-step explanation:

Write the equation of a line perpendicular to the line:
y=−3/4x+5 that goes through the point (-1, -10).
Write your answer in slope- intercept form, using reduced fractions for the slope and intercept.

Answers

Answer:

y= 4/3x - 8.7777777777(reoccurring)

Step-by-step explanation:

ok for perpendicular slopes we use the negative reciprocal of the original slope so -3/4 turns into 4/3. next we take the equation y = 4/3x + b and plug in -1 for x and -10 for y to find B.

draw the image of ABC under translation by 3 units to the right and 4 units down

Answers

Answer:

Step-by-step explanation:

Move to (6,-2) at the top then at the bottom left (3,-5), after that to on th bottom right is (5,-7)

The required translated figure of a triangle ABC is shown in the image attached.

Question asked to draw the image of ABC under translation by 3 units to the right and 4 units down.

What is translation?

A translation is defined as a type of conversion that takes an individual point in a figure and slides it the same distance in the same direction.

Since the translation of the figure is shifting the figure through certain specified units. because of translation, there is no cause to changes to the measure of the figure. the new figure formed will be congruent to the former figure.

As per the question, we have a triangle ABC, Let applied all the translation processes to point C. coordinate of C is (-3, 1) after translation 3 units right and 4 unit down the new coordinates are (0, -3). similarly Coordinates of A and B also changed corresponding to C.

Thus, the required translated figure of a triangle ABC is shown in the image attached.

Learn more about translation here:

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Does this table represent a function? why or why not ?

Answers

Answer is C because it just is

Answer:

C. Yes, because every x-value corresponds to exactly one y-value.

If angle 1 and angle 2 form a linear pair and angle 1 is less than five times the measure of angle 2 find x and angle 1

Answers

Answer:

Angle 1 is 30° and angle 2 is 150°

Step-by-step explanation:

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Let angle 1 is  a, angle 2 is b and we got b = 5a

a + b = 180°b = 5a

a + 5a = 6a6a = 180°a = 180°/6a = 30°

and

b = 5*30° = 150°

What point does this line pass through?
y-2=4/5(x-3)

Answers

Answer:

(5,2)

Step-by-step explanation:

Is 1/4 and 4/16 an equivalent fraction? If so why ?

Answers

Answer:

Yes

Step-by-step explanation:

1/4 = 4/16 because 1/4 of 16 is 4

Also,

1/4 is just a simplified version of 4/16

The answer to whether 1/4 and 4/16 are equivalent fractions is that; Yes, they are equivalent fractions

How to simplify Fractions?

We have two fractions which are; 1/4 and 4/16

Now, the first fraction is already in simplified form and can't be simplified further. However, the second fraction can be further simplified.

For the second fraction which is 4/16, the numerator and denominators have a common term which is 4. Thus, we can factor it out to get;

(4/4) * (1/4)

4/4 =1 and so we see that 4/16 can be reduced to the first fraction and so they are the same.

Read more about Fractions at; https://brainly.com/question/11562149

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What is the correct sequence of steps for caculating 9^6 on the scientific calculator?

Answers

Answer:

9x9x9x9x9x9

Step-by-step explanation:

Evaluate rhe expression below (-4)+1

Answers

Answer:

-3

Step-by-step explanation:

Step 1: Write expression

(-4) + 1

Step 2: Add

-3

The answer is -3. Because -4+1 -3 all your doing is going up once on the number line

y = -2(x + 1)(x + 4)

Answers

367 because if you multiply

Which expression has a negative value?
O 7+31-4)(2)
0-212-(-3)]
o (15-7)-(8-3)
-5[7+(-14)]-30
PLEASE HELPPPP

Answers

Answer:

(15-7)-(8-3)

Step-by-step explanation:

1.

[tex]7+(31-4)(2)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(31-4\right)\::\quad 27\\\\=7+27\left(2\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:27\left(2\right)\:\\:\quad 54\\\\=7+54\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:7+54\:\\:\quad 61[/tex]

2.

[tex]-212-(-3)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=-212+3\\\\=-209[/tex]

3.

[tex](15-7)-(8-3)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(15-7\right)\::\quad 8\\\\=8-\left(8-3\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(8-3\right)\::\quad 5\\\\=8-5\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:8-5\:\\:\quad 3[/tex]

4.

[tex]-5[7+(-14)]-30\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left[7+\left(-14\right)\right]\::\quad -7\\\\=-5\left(-7\right)-30\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-5\left(-7\right)\::\quad 35\\\\=35-30\\\\= 5[/tex]

Find the critical point of the function f(x) = x2 – 2x + 7.

Answers

Answer:

[tex]x=1[/tex] is a critical point of the function [tex]f(x).[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-2x+7[/tex]

Differentiate both sides w.r.t. [tex]x[/tex]

[tex]\Rightarrow f'(x)=2x-2[/tex]

Now, [tex]f'(x)=0[/tex]

[tex]\therefore 2x-2=0[/tex]

[tex]\Rightarrow 2x=2[/tex]

[tex]\Rightarrow x=1[/tex]

Hence, [tex]x=1[/tex] is a critical point of the given function.

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