Which of the following is most likely the next step in the series?

Answer:

45

Step-by-step explanation:

Ratio is 2girls:3boys

if there were 27 boys, we would have the following ratio:

2g    xg

--- = ---

3b     27b

To get from 3 to 27, multiply by 9.

Now, do the same for the numerator.

Now we know we have 18 girls!

We can add:

27 boys and 18 girls=

45 members!

Answer:

2/7

Step-by-step explanation:

The solution of fractions after multiplying the two fractions would be [tex]\dfrac{2}{7}[/tex].

Given that,

Multiply the two fractions,

[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]

Used the concept of multiplication which states that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, simplify the fractions by multiplying,

[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]

[tex]\dfrac{4}{14}[/tex]

Simplify for the simplest form,

[tex]\dfrac{2}{7}[/tex]

So, the solution is [tex]\dfrac{2}{7}[/tex].

To learn more about multiplication visit:

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Answer:

No I do not agree with Andre says that 3 divided by 2/3 Solving for 3 ÷ 2/3

3 ÷ 2/3

= 3 × 3/2

= 9/2

= 4 1/2

Therefore, 3 divided by 2/3 is 4 1/2

Andre's reasoning is wrong.

Step-by-step explanation:

It is incorrect

Let's divide and compare the sum

3 : 2/3 = 3*3/2 = 9/2 = 4 1/2

and

There are four 2/3 fractions and one 1/3 fraction

The 1/3 fraction is 1/2 of 2/3 fraction so instead of counting 1/3 as 1/3 it should be counted as 1/2

Answer:

5x=-(5/2) ~~ first choice

Step-by-step explanation:

divide both sides by 5

-> x=(5/2)/5

simplify the above

-> x = - (5/2x5)

simplify

-> x = -(5/10)

simplify and solve

=> x = - 1/2

(basically trial and error)

Answer:

3.75

Step-by-step explanation:

First we need to get the numbers into decimal form

3/4 can be written into 75

So the mittens weighed 2.75

So we subtract 6.5 and 2.75

Which is 3.75

So the mitten gained 3.75 pounds

Hope this helps!

Answer:

3.75

Step-by-step explanation:

Subtract to find the difference

2 3/4 is 2.75 as a decimal

6.5 - 2.75 = 3.75

Check the answer

2.75 + 3.75 = 6.5

So u can see Mittens gained 3.75 pounds between the time he was a kitten and his 6-month check up.

Answer:

Area of play ground = Length × Breadth = 750 × 250 = 187500. a Cost of levelling the ground = 187500 × 16 100 = Rs . 30000 

Answer:1.833333

Step-by-step explanation:

Answer:

y=1/5x-31/5 (or y=0.2x-6.2 in decimals)

Step-by-step explanation:

x=5y-8     (original equation)

x+8=5y (Addition Property of Equality)

1/5x+8/5=y (Division Property of Equality, slope of original equation is 1/5)

y-y1=m(x-x1)    (point-slope formula)

y-(-5))=1/5(x-(6)) (plug in the slope that was found earlier and the point given in the question)

y+5=1/5(x-6)

y+5=1/5x-6/5   (Distributive Property of Multiplication)   Note:  5 = 25/5

y=1/5x-31/5 (Subtraction Property of Equality, and there's your answer)

y=0.2x-6.2 (This is the same answer, but written with decimals)

Answer:

so there is 14 cards in total so out of those 14 14 cards are either blue or green so 100%

Hope This Helps!!!

Answer:

19

Step-by-step explanation:

f(x)= -3x-2

f(-7)= -3(-7)-2

     = 21 - 2

     = 19

hope this helps! :D

Answer :

Cashews : 2950

Pistachios : 725

Almonds : 325

( credits to FB person : Moni )

Answer:

Step-by-step explanation:

He has sold (16+1/4) bushels/day x 5 days = (16 x 5) + (1/4 x 5) = 80 + 5/4 = 81 + 1/4 = 81.25

The change in the number of bushels is 140 - 81.25 = 58.75 or 58 and 3/4 bushels

In other words, he has 58.75 (or 18 and 3/4) bushels remaining and has sold 81.25 (or 81 and 1/4) bushels

The amount by which the length and width of a shed can be increased to

more than double the area, depends on the initial dimensions.

Reasons:

The given parameters of the shed are;

The length of the shed = 12 m

Width of the shed = 5 m

The amount by which the length and the width are increased = The same amount

The new area after the increase in the length and width of the shed = More than double the initial area

Required:

The amount of increase in the length.

Solution:

Let the amount by which the length and width are increased = x

We have;

Initial area of the shed = 12 m × 5 m = 60 m²

The new area = (12 + x) × (5 + x) > 2 × 60

By multiplication, we get;

(12 + x) × (5 + x) = x² + 17·x + 60 > 2 × 60 = 120

x² + 17·x + 60 - 120 > 120 - 120 = 0

x² + 17·x - 60 > 0

By factorization, we get;

(x + 20)·(x - 3) > 0

x > -20, or x > 3

The increase (positive) amount of the solution is x > 3

Therefore, the amount by which both the length and the width can be increased to more than double the area is x > 3 meters

Learn more about the area of a rectangle here:

https://brainly.com/question/16410706

Applying the given probabilities, it is found that there is a 0.42 = 42% probability of watching a movie today.

These following probabilities involve a movie being watched today:

Hence, adding them:

[tex]p = 0.5(0.6) + 0.3(0.4) = 0.3 + 0.12 = 0.42[/tex]

0.42 = 42% probability of watching a movie today.

A similar problem is given at https://brainly.com/question/14398287

Answer:

The answer would be 4

Step-by-step explanation:

Calculate it

Answer:

4 is the answer.

Step-by-step explanation:

-6 - 10k

=> -6 - 10(-1)

=> -6 + 10

=> 4

Therefore, 4 is the answer.

Hoped this helped.

Answer:

VI

Step-by-step explanation:

The letter "A" is a vowel and a capital letter, so this should be categorized in group VI, where the vowel circle and the capital letter circle overlap.

Answer:

F

Step-by-step explanation:

It is a capital letter and a vowel

Answer:

x= 4/5 or x = -2

Step-by-step explanation:

Step 1: Subtract -6x from both sides.

5x^2 -8 - -6x = -6x -6x

5x^2 + 6x - 8 = 0

Step 2: Factor left side of equation.

(5x - 4) (x + 2) = 0

Step 3: Set factors equal to 0.

5x - 4 = 0 or x + 2 = 0

Hense the Answer is x= 4/5 or x = -2

Answer:

3086 ml ÷ 1000 = 3.086

9 cm × 10 = 90mm

9 cm ÷ 100 = 9m

Answer:

50%

Step-by-step explanation:

Cuz 75 is 1/2 of 150, so 1/2 is equal to 50%.

Answer:

17 and a half days OR 18 days

Step-by-step explanation:

7 books : 8 days

20 books: x days

cross multiply

x = (8×20)÷ 7

x = 17.5

therefore

17 and a half days or 18 days

Answer:

20 0-6

Step-by-step explanation:

x= (2,0)

y= (0,-6)

the ratio is 24:30

or the simplified version is 4:5

Answer:

5= -2w i think

Step-by-step explanation:

6w+8+4w-3 = w

8-3= -6w - 4w

5 = -2w

first you have to change 1/3 to -3

y=-3x+2

then you have to replace 2 with 'b' because you don't know the y intercept yet

y=-3x+b

then you substitute the point (4,7) into the equation

7= -3(4) + b

7= -12 + b

19 = b

y = -3x + 19 is the equation in slope intercept form

for point slope form:

-3x is still the slope and you replace x and y with the point 4,7

y- 7= -3 (x-4)

Answer:

$2500

Step-by-step explanation:

$200×14=$2800

$2800-$300=$2500

Answer:

4.9%

Step-by-step explanation:

6600 * 107/100 = 66*107 = 7062.

3500 * 101/100 = 35x101 = 3535

7062+3535=10597. Original worth: 10100

10597-10100 = 497

497/10100 = 0.0492079208, or 4.92%, rounds to 4.9%