A bag contains white,blue and red balls ratio8:3:2 and there are 10 red balls,if 10 white balls and 10 blue balls are removed from the bag.Find the new ratio of the balls.

Answer:

1. You can divide both sides of an equation by any number except zero. If dividing both sides simplifies the equation, then it's better to do than than to distribute.

2. A fraction can be thought of as a ratio. To keep the value of the fraction the same, you must multiply or divide the numerator and denominator by the same number. If you multiply only the denominator by a number, the value of the fraction changes.

Step-by-step explanation:

1.

6(3x + 4) = 12

Since the goal in solving this equation is to isolate x, meaning you want x alone on the left side, you need to do whatever legal operations that will accomplish that. Since 6 is a factor and (3x + 4) is a factor in a multiplication, you can divide both sides by 6 simplifying the left side. It is also correct to distribute on the left side, but it will make the solution longer.

Method 1: start by dividing both sides by 6

6(3x + 4) = 12

Step 1: Divide both sides by 6

3x + 4 = 2

Step 2: Subtract 4 from both sides

3x = -2

Step 3: Divide both sides by 3

x = -2/3

Method 2: start by distributing on the left side

6(3x + 4) = 12

Step 1: distribute the 6 on the left side

18x + 24 = 12

Step 2: subtract 24 from both sides

18x = -12

Step 3: divide both sides by 18

x = -12/18

Step 4: reduce the fraction

x = -2/3

As you can see, the solution is the same. The only difference is one extra step with the reduction  of the fraction in the case of distributing the 6.

2.

This has to do with the meaning of fractions.

For example, take the fraction 1/2.

This fraction means that you divided the unit into 2 equal parts, shown by the denominator of 2. Then you are taking 1 of those parts, shown by the numerator of 1. 1/2 means 1 out of 2. You can also think of 1/2 as the ratio of 1 to 2.

To add and subtract two factions, we need a common denominator. That means we must rewrite one or both fractions being added or subtracted in a way that they both have the same denominator. We need the fractions to represent the same amounts they did originally. If you changed only the denominator, you'd be changing the actual value of the fraction.

You need to add 1/2 and 3/10.

The least common denominator of 2 and 10 is 10, so we need to have both fractions with a denominator of 10. 3/10 already has a denominator of 10, so we just need to change 1/2 to a fraction with 10 in the denominator. By multiplying 2 by 5 we get 10, so we need to multiply the denominator of 1/2 by 5 to end up with a denominator of 10.

1/2 + 3/10

If you only changed the denominator of 1/2 to 10 by multiplying 2 * 5 = 10, you'd end up with

1/10 + 3/10,

but now think of the fraction 1/10 and compare it to 1/2.

1/2 means divide the unit into 2 equal parts and take 1 part.

1/10 means divide the unit into 10 equal arts and take 1 part.

1/2 is not the same as 1/10, so rewriting the addition

1/2 + 3/10 as 1/10 + 3/10 is actually changing the problem.

Now see what happens when we multiply both the numerator and denominator by the same number, in this case 5.

We change 1/2 to (1 * 5)/(2 * 5) = 5/10. 1/2 equals 5/10. If you divide a unit into 10 equal parts and you take 5 parts, you have taken the same number of parts as if you had divided the unit into 2 parts and taken 1 part.

In other words, 1/2 is exactly the same amount as 5/10. The only difference between 1/2 and 5/10 is the way they are written.

Now we can correctly continue with the addition:

1/2 + 3/10 = 5/10 + 3/10 = 8/10

Finally we reduce 8/10 to 4/5 by dividing both the numerator and denominator by 4.

Let's first denote:

F - a favorable response

F' - an unfavorable response

S - successful

We know that:

[tex]P(F) = 0.6\\\\P(F')=0.4\\\\P(F\cap S)=0.5\\\\P(F'\cap S)=0.3[/tex]

So, from the conditional probability, we can calculate:

[tex]P(S|F) = \dfrac{P(S\cap F)}{P(F)} = \dfrac{0.5}{0.6}=\dfrac{5}{6}\approx\boxed{0.83}[/tex]

Answer E.

Answer:

E IS CORRECT

Step-by-step explanation:

Answer:

That’s ez pz

Step-by-step explanation:

Answer:

The slope is -3 and the y intercept is -44

Step-by-step explanation:

6X+ 2Y= -88

The slope intercept form of a line is y= mx+b where m is the slope and b is the y intercept

Solve for y

6X-6x+ 2Y= -88-6x

2y = -6x-88

Divide by 2

y = -3x -44

The slope is -3 and the y intercept is -44

probability = favourable outcomes/total outcomes

you need 1 banana, out of 4 and there are total of 6 items so probability will be 4/6

when you take out 1 banana, there are 3 banana left and total of 5 items

so probability of this action will be 3/5

now, next action is taking out another banana.

this is NOT an independent event.

so by we will multiply the probabilities of these events according to rule of products.

so the answer is [tex] \frac{4\cdot3}{6\cdot5}=\frac25[/tex]

or 2×100/5=40%

Answer:

  451. No, the angles are wrong.

Step-by-step explanation:

450. AB = 15, BC = 10, and CD= 7. Find the length DA.

  This cannot be done without additional information about the sort of figure that ABCD is. If these are points on a line segment, we need to know their order. If these are points on a quadrilateral, we need to know its description in more detail.

If these are points ordered ABCD on a line, then AD = 15+10+7 = 32.

__

451. See the attached figure. BPQD is not a parallelogram: BCQ is not a straight line. (The internal angles of a pentagon are 108°, but would need to be 120° for BCQ to be a straight line, making BP parallel to DQ.) Instead, BPQD is an isosceles trapezoid.

===============================================

Explanation:

Let's calculate the angle B based off the arcs CDF and GHJ

B = (far arc - near arc)/2

B = (arc CDF - arc GHJ)/2

B = (130 - 40)/2

B = 90/2

B = 45

----------

Now let's change GHJ to 30 degrees, while keeping the other arc the same.

B = (far arc - near arc)/2

B = (arc CDF - arc GHJ)/2

B = (130 - 30)/2

B = 100/2

B = 50

Angle B has increased from 45 degrees to 50 degrees.

Answer:

number 4 on edge

Step-by-step explanation:

Answer:

a. 92 minutes b. 7:56am

Step-by-step explanation:

He should leave at 7:56 so he gets to the bus at 8:05,

he gets to Coventry at 9:37 with enough time to walk 12 minutes to get to work before 10am.

Answer:

$3.42

Step-by-step explanation:

Meters of material required = 1.2 meters

Cost per meter of material = $0.85

Direct labor hours = 0.1

Cost of direct labor per hour = $15

Overhead rate = $9 per direct labor hour

Standard cost per unit of product :

(Direct material cost per unit + direct labor cost per unit + overhead cost per unit)

Direct material cost per unit :

Material needed × cost per meter = (1.2 × $0.85) = $1.02

Direct labor cost per unit :

Direct labor hour × cost per hour = ( 0.1 × $15) = $1.5

Overhead cost:

0.1 * $9 = $0.9

Standard cost :

($1.02 + $1.5 + $0.9) = $3.42

Answer:-6

Step-by-step explanation:it j told me the answer haha

Answer:

64

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find x

To find x we use tan

tan∅ = opposite/ adjacent

From the question

The opposite is 9

The adjacent is x

Substitute the values into the above formula

That's

[tex] \tan(30) = \frac{9}{x} [/tex]

[tex]x \tan(30) = 9[/tex]

Divide both sides by tan 30

[tex]x = \frac{9}{ \tan(30) } [/tex]

We have the final answer as

Hope this helps you

Answer:

the value of x = 9  and y =11.

Given the system of equation:

12x + 4y =152                  .......[1]

32x + 12y = 420              ......[2]

Multiply equation [1] by 3 we get;

Using distributive property:  

            ......[3]

On solving equation [2] and [3] simultaneously we get;

x = 9

Substitute the value of x= 9 in [1] to solve for y;

108 + 4y = 152

Subtract 108 from both sides we have;

108 + 4y -108 = 152- 108

Simplify:

4y = 44

Divide both sides by 4 we get;

Simplify:

y= 11

therefore, the value of x = 9  and y =11.

Answer:

Domain = x - values

Range = y - values

Step-by-step explanation:

main points I'll use as examples for the rest on graph are: (-3,4) (1,2) and (1,6)

Domain: simple numbers here are {-3,1} dont repeat the same x value twice!

Range: {2,4,6}

Make sure values are in numerical order.

Find the rest by these three points! (Which are on graph)

Hope this helps, have a good day :)

Answer:

try 2

Step-by-step explanation:

because it an X-value and it on the graph

Answer:

Step-by-step explanation:

In order to find the value of x we use sine

sin ∅ = opposite / hypotenuse

From the question

x is the hypotenuse

the opposite is 19

So we have

sin 20 = 19/x

x = 19/sin 20

x = 55.55

We have the final answer as

Hope this helps you

Answer:

x = 55.6

Step-by-step explanation:

Answer:

D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Step-by-step explanation:

A. Yes. She solved the problem correctly.

B. No. She multiplied the dividend by the divisor instead of finding the reciprocal.

C. No. She multiplied the denominators instead of finding a common denominator.

D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Her workings

7 ÷ 2/ 5

=1/ 7 × 2/ 5

= 2/35

Dividend=7

Divisor=2/5

The correct working

7 ÷ 2/ 5

=7 × 5/2

=35/2

Answer:

D

Step-by-step explanation:

I got an 100% on the quiz I took with this question :)

Hope I could help good luck on passing!!

Answer:

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Step-by-step explanation:

Answer:

Rewrite the absolute value equation as two separate equations, one positive and the other negative

Solve each equation separately

After solving, substitute your answers back into original equation to verify that you solutions are valid

Write out the final solution or graph it as needed

Step-by-step explanation:

Answer:

A=80 , B=65, C=35

Step-by-step explanation:

A-B=15 ⇒A=B+15

B-C=30⇒-C=30-B ⇒C=B-30

the sum of angle of a triangle = 180

A+B+C=180 ( substitute A and C)

B+15+B+B-30=180

3B-15=180

3B=180+15

B=195/3=65

C=B-30 ⇒ C=65-30=35

A=B+15=65+15=80

check : A+B+C=180

             80+65+35=180 ( correct)

Step-by-step explanation:

7.083, 7.2,and 7.21

This should be the answer

Answer:

4:7

Step-by-step explanation:

4 grape candies : 7 total candies (grape + cherry)

Answer:

It is simply 4:3

The order of a matrix is m×n where m is the number of rows and n is the number of columns.

can you count and find what are m and n here?

Answer:

Step-by-step explanation:

Number of rows X Number of columns

Rows = 3

Columns = 2

answer = 3x2

Answer:

131 1/4 in.²

Step-by-step explanation:

To find the area of the figure, you would have to divide the figure into two parts.  The figure can be divided into two rectangles.

Rectangle 1

The length is 11 3/4 in.  The width is 6 in.

A = lw

A = (11 3/4 in.)(6 in.)

A = 70 1/2 in.²

Rectangle 2

The length is 9 in.  The width is 6 3/4 in.

A = lw

A = (9 in.)(6 3/4 in.)

A = 60 3/4 in.²

Add the two areas together.

70 1/2 in.²  +  60 3/4 in.²  =  131 1/4 in.²

Answer:

When V is composed with r, the composite function is StartFraction 1 Over 48 EndFraction pi t Superscript 6

V(r(6)) shows that the volume is 972π inches cubed when the radius increases to 6 inches.

Step-by-step explanation:

Answer:

1 and 3 on edge

Step-by-step explanation:

Answer:

x=-3

y=3

(-3-3i)(3+5i)

Step-by-step explanation:

[tex](x-yi)(3+5i)\\=3x+5xi-3yi+5y\\=(3x+5y)+(5x-3y)i\\[/tex]

and we have that must equal

6-24i

3x+5y=6

5x-3y=-24 and if we work it we found out that the solutions are

x=-3 and

y=3

Answer:

Quarter 3

Step-by-step explanation:

The quarter that would have been the optimal investment period is the third quarter.

Stocks gives its holders ownership right in a company. Stockholders are paid dividends in some periods.

The optimal investment period is the period when the stock price is the lowest. This is the third quarter.

To learn more about stocks, please check: https://brainly.com/question/27342287

#SPJ2

[tex] \quad a^2-10a+16-6b-b^2[/tex]

$=(a^2-10a)-(b^2+6b) +16$

$=[(a^2-2(5)a+25)-25]-[(b^2+2(3)b+9)-9]+16$

$=(a-5)^2-25-(b+3)^2+9+16$

$=(a-5)^2-(b+3)^2$

Answer:

54 degrees

Step-by-step explanation:

Measure of arc DCB is 125*2 = 250.

So, measure of arc BAD is 360-250 = 110.

So, measure of arc AD is 110 - 56 = 54 degrees

Answer:

6 scarves

Step-by-step explanation:

So we know that 3/4 yd. = 1 (scarf)

We have 4 2/3 material to make the scarves

=> convert to an improper fraction 4 2/3 = 14/3

=> Divide material by needed amt.

=> 14/3 x 4/3 = 56/9

56/9 = 6 2/9

But 6 2/9 is not our answer. Since we need a full amt. of scraves, we round down to our final answer of 6 scarves.

Hope this helps!

Answer:

Step-by-step explanation:

Given that ;

The Acme Company lost 650 hours due to accidents on the job in the first quarter of the year

The average hourly wage of the employees who contributed to the lost hours was $15.00 . i.e the direct labor cost = $15.00

The company benefits add 25% to the wages. = 0.25

The loaded labor cost = $15.00/hr × 0.25 = $3.75/hour

If we add the additional cost of benefit, then we have the loaded labor cost to be =  $15.00/hour + $3.75/hour

= $18.75 / hour

However, the direct labor costs that the workers continued to receive without working. for the  first quarter of the year by using the cost-of-lost-hours formula is  :

= 650 hours × $15.00 / hours

= $9750

The hidden costs can be estimated from the Acme company's contributions to the employee. Given that the company benefits add 25% to the wage of the employee, therefore, this wage must be incorporated in order to find out the total wage cost for the lost work hours in the Acme company.

As a result of the company benefits, the fully loaded labor cost is 650 hours  × $18.75 /hour which gives $12187.5.

Consequently, it is pertinent to determine the cost for  additional benefits that the workers are receiving even though they are not working, this is achieved by the difference in the $9750 direct cost paid to labor and the benefits amount of $12187.5

i.e

the cost for additional benefits that the workers are receiving even though they are not working = $12187.5 - $9750 = $2437.5

Other ways the hidden cost can be estimated is by take note of the amount paid to the employee on the day the employee had  an emergency, amount paid to the rescue team involved. etc

Answer:

m∠A = 62°

m∠C = 28°

AC = 17 units

Step-by-step explanation:

In the given triangle ABC,

m∠B = 90°, Cos(C) = [tex]\frac{15}{17}[/tex] and AB = 16 units

Since, Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}[/tex]

Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}=\frac{15}{17}[/tex]

[tex]\text{C}=\text{Cos}^{-1}(\frac{15}{17})[/tex]

m∠C = 28.07°

m∠C ≈ 28°

Therefore, side BC = 15 units and AC = 17 units

Now we apply Sine rule in the given triangle.

Sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{\text{BC}}{\text{AC}}[/tex]

         = [tex]\frac{15}{17}[/tex]

A = [tex]\text{Sin}^{-1}(\frac{15}{17} )[/tex]

A = 61.93°

m∠A = 62°

Answer:

4x^2−2

Step-by-step explanation:

Let's simplify step-by-step.

7x^2−2−3x^2

=7x^2+(−2)+(−3x^2)

Combine Like Terms:

=7x^2(+−2)+(−3x^2)

=(7x^2+(−3x^2))+(−2)

=4x^2+−2

Answer:

=4x2−2