A bag contains 10 red, 9 white, 8 yellow and 2 blue marbles. How many marbles must be taken out from the bag so that there will be 4 marbles of the same colour?

Answer:

square root of 221

Step-by-step explanation:

d= sqrt (14-3)^2 + (2-12)^2

sqrt 121+100= sqaure root of 221

Answer:

Distance between the points (3, 12) and (14, 2) is 14.8661

Step-by-step explanation:

Distance between two points = √(xB−xA)^2+(yB−yA)^2

Solution :

Distance between two points = √(14−3)^2+(2−12)^2

= √11^2+(−10)^2

= √121+100

= √221 = 14.8661

Answer:

x=4

Step-by-step explanation:

-2(x+2)=-12

x+2=-12/-2

x+2=6

x=6-2

x=4

Answer:

5x-2y + 8 =0

Step-by-step explanation:

2y=5x+8

5x-2y + 8 =0

Answer:

y = -1/3x + 8

Step-by-step explanation:

If two lines are perpendicular, the signs of the slope must be opposite and the slopes are reciprocals.

(basically if one is say -2/3, the other is 3/2. just flip it upside down)

So this slope is 3, so the new slope should be -1/3

The equation is now y = -1/3x + b

To find b, substitute (-9,5) in the equation

y = -1/3x + b

5 = -1/3(9) + b

5 = -3 + b

8 = b

So the equation is y = -1/3x + b

Answer:

y = -1/3x + 2

Step-by-step explanation:

I dont know who verified the other guy but he is wrong

Answer:

-37

Step-by-step explanation:

-5(6) - 7

= -30-7

= -37

Hope this helps!

Answer:

-37.

Step-by-step explanation:

The order of operations is given by PEDMAS.

ParenthesesExponentsDivideMultiplyAddSubtract.

- 5 x 6 - 7:

Multiplication is done before Subtraction:

= -30 - 7

= -37.

Answer:

number 7 is y= [tex]\frac{-ax+c}{b}[/tex]

Step-by-step explanation:

Answer:

x=17

Step-by-step explanation:

8*17=136+20=156

11*17=187-31=156

      156=156

This problem is tricky. Let's break it down.

1/4 - book

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

1/3 of the remainder(3/4) - stationery

"OF" MEANS MULTIPLY

1/3 x 3/4 = 1/4

So, 1/4 of total allowance on stationery.

Meaning, he spent 1/2 of his allowance in all, and 1/2 of his allowance is $18.

Since the book cost 1/4 of his allowance, and (1/4)2 = 1/2, the book cost 18/2 = $9.

Answer:

Solution: [tex]x=-\frac{1}{5}[/tex],[tex]x=0[/tex]

Step-by-step explanation:

Given:

The rational equation to solve is given as:

[tex]\frac{x}{6}=\frac{x^2}{x-1}[/tex]

Doing cross product, we get:

[tex]x\times (x-1)=6\times x^2\\x^2-x=6x^2\\\textrm{Bringing all variables to the right side, we get:}\\6x^2-x^2+x=0\\5x^2+x=0\\x(5x+1)=0\\x=0\ or\ 5x+1=0\\x=0\ or\ x=-\frac{1}{5}[/tex]

Now, for [tex]x=0[/tex], the rational equation is equal to 0. So, [tex]x=0[/tex] is a solution.

Also, [tex]x=-\frac{1}{5}[/tex] is also a solution.

So, no extraneous solution.

Answer:

7

Step-by-step explanation:

Using subtraction method, the distance between 3 and 10 is 7. On the number line, the starting point is 3; therefore, from 3 movement will take seven times to get to 10.

Answer:

Yes

Step-by-step explanation:

[tex]\sum_{n=1}^{\infty} e^{-\sqrt{n} } \\\sum_{n=1}^{\infty} (\frac{1}{e})^{\sqrt{n} }[/tex]

If we say u = √n, then:

[tex]\sum_{u=1}^{\infty} (\frac{1}{e})^{u}[/tex]

This is a geometric series.  Since |1/e| < 1, the series converges.

Answer:

the son had $20 and the father had $200

Step-by-step explanation:

20 x 10 = 200

200 + 20 = 220

Cant be 22, Ah, 20!

Because 20 Times 10 is 200, and you add the 20 and you get 220!

Answer:

Rational Numbers

Step-by-step explanation:

A hat size cannot be integers as that would include negative numbers. For example a person who's hat size is 7 & 5/8 which would make the answer 7.625 which is a rational number.

Answer:

"Rational numbers" is the set of numbers among the choices that are given in question that is the most reasonable to describe a person's hat size.

Step-by-step explanation:

rational numbers are by far the most reasonable description.   The circumference of the human head certainly is not always an integer or whole number.

For this item, i go with letter D. Rational. The hat size cannot be integers as it includes negative numbers. For instance the person's hat size is 7 + 5/8 which leads to an answer of 7.625. That is a rational number. 

hope this helps you

if this is correct can you give me the brainliest

Answer:

The value are

f = 6 cm

g = 8 cm

Step-by-step explanation:

Given:

ABCE is Trapezium

AD || BC

AD = BC = f

CD = g

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

To Find :

f  = ?

g = ?

Solution:

In the figure ∠ C = 90° and AD || BC

∴ ∠ D = 90° .....Corresponding angles are equal

∴ ABCD is RECTANGLE With Length = f and Breadth = g

∴ [tex]\textrm{Area of Rectangle}=Length\times Breadth\\\textrm{Area of Rectangle}=f\times g\\[/tex]

[tex]\textrm{Area of Triangle AED}= \textrm{Area of Trapezium ABCE}-\textrm{Area of Rectangle ABCD}\\=60-48\\=12\ cm^{2} \\\therefore \textrm{Area of Triangle AED} = \frac{1}{2}\times AD\times DE\\12 =\frac{1}{2}\times f\times 4\\ f=\frac{24}{4}\\\therefore f= 6\ cm[/tex]

Now,

∴ [tex]\textrm{Area of Rectangle}=Length\times Breadth\\\textrm{Area of Rectangle}=f\times g\\[/tex]

[tex]\therefore 48 = f\times g\\48= 6\times g\\\therefore g =\frac{48}{6}\\ g=8\ cm[/tex]

The value are

f = 6 cm

g = 8 cm

Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60   Eqn 1

x=2y+9   Eqn 2

Putting value of Eqn 2 in Eqn 1;

[tex](2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51[/tex]

Dividing both sides by 3,

[tex]\frac{3y}{3}=\frac{51}{3}\\y=17\\[/tex]

Putting y=17 in Eqn 2

[tex]x=2(17)+9\\x=34+9\\x=43[/tex]

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

Learn more about substitution method at:

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Answer:

9w+8f+46, 11m+7, 3.1p-8.37, 8+5m.

Step-by-step explanation:

9(w+6)+4f+4(f-2)

9w+54+4f+4f-8

9w+54-8+8f

9w+46+8f

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

2m+7+9m=2m+9m+7=11m+7

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

3.1(p-2.7)=3.1p-8.37

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

5(3+m)-7=15+5m-7=8+5m

Answer:

8 percent

Step-by-step explanation:

When you're trying to find the percentage, first, you divide what you're trying to find over the total amount.

2/25.

What you get from this is 0.08. However, this is a decimal, not a percent. When converting from decimal to percent, you multiply the decimal by 100 to get 8 percent.

Answer:

8%

Step-by-step explanation:

2/25=8/100=0.08=8%

Answer: I think something is missing ?? sorry comment down below

Step-by-step explanation:

Answer:

The missing side “x” is 2.

Step-by-step explanation:

From the given figure, we came to know that these are “similar triangles” where the ratio of the one “corresponding side” of a triangle is equal to the other two “corresponding sides” of a triangle.

Let the triangles be ∆ABC and ∆DEF

[tex]\Delta A B C \sim \Delta D E F[/tex]

From similarity of triangle rule the sides,

[tex]\frac{A B}{D E}=\frac{B C}{E F}[/tex]

Given that,  

AB = x, DE = 8, BC = 4 and EF = 16

[tex]\text { Substitute the values in } \frac{A B}{D E}=\frac{B C}{E F} \text { to find }^{u} \mathrm{x}^{\prime \prime}[/tex]

[tex]\frac{x}{8}=\frac{4}{16}[/tex]

[tex]\frac{x}{8}=\frac{1}{4}[/tex]

[tex]x=\frac{8}{4}[/tex]

x = 2

Therefore, we found the missing side x = 2

Answer:

g(x) is translated six units down from f(x).

Step-by-step explanation:

f(x ± k) is for a horizontal translation. So that rules out the first two.

f(x) ± k is a vertical translation. In this case, a negative number means it's moving down and a positive means it's moving up. Because we have a negative (in other words subtracting) we move line on the graph down.

The best description of the graph of g (x) with respect to the graph of

f (x) will be;

''g (x) is translated 6 units down from f (x)''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The functions are,

⇒ f (x) = 3/4 x

And, g(x) = (3/4)x - 6

Now,

Since, We know that;

The function f (x) after the translation 'a' unit down, so we get the new function,

⇒ g (x) = f (x) - a

Here, The function g (x) is translation of f (x).

Thus, The best description of the graph of g (x) with respect to the graph of f (x) will be;

''g (x) is translated 6 units down from f (x)''

Therefore, The best description of the graph of g (x) with respect to the graph of f (x) will be;

''g (x) is translated 6 units down from f (x)''.

Learn more about the translation visit:

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Answer:

Lacy is 14 and Jack is 56

Step-by-step explanation:

Answer:

Not exactly sure what "funny numbers" are but I'm assuming you mean prime numbers? In that case there are a total of 7 prime numbers between 30 and 60.

Step-by-step explanation:

Answer:

42 but with no 0

Final answer:

The system of linear equations x + y = 75 and 10x + y = 48 is solved using the elimination method, resulting in the solution x = 3 and y = 72.

Explanation:

The student is given a system of two linear equations:

To solve this system, we can use the method of elimination or substitution. Here, elimination appears to be the more straightforward method. We'll subtract the second equation from the first to eliminate the variable y, as they both have the same coefficient in y. Subtracting the second equation from the first gives us:

9x = 27

Solving for x, we find:

x = 27 / 9 = 3

Now that we have the value for x, we can substitute it back into either of the original equations to find the value for y. Substituting into the first equation:

3 + y = 75 => y = 75 - 3 => y = 72

So the solution to the system is x = 3 and y = 72. This method remains effective even with the advent of computer algebra methods and Mathcad.

Answer: Its 8 hours a day.

              56/7=8hours

Answer:

Step-by-step explanation:

Final answer:

The fraction of the tomato Mark will slice is [tex]\frac{1}{6}[/tex]. Using fraction strips, 4 members each getting [tex]\frac{1}{6}[/tex] of the tomato equals [tex]\frac{2}{3}[/tex] of the total tomato.

Explanation:

The fraction of the tomato Mark will slice is [tex]\frac{1}{6}[/tex].

We can represent this using fraction strips. If Mark slices 4 members of his family, each getting [tex]\frac{1}{6}[/tex] of the tomato, we can visually represent this as Dividing the fraction strip into 6 equal parts. Shade in 1 part of the strip, representing [tex]\frac{1}{6}[/tex] of the tomato.

If Mark slices 4 members, he will slice 4 times [tex]\frac{1}{6}[/tex], which equals [tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex] of the tomato.

Answer:

B) y=1/4x

Step-by-step explanation:

Because the slope of this graph is 1/4. You can find this because slope=rise/run. On the graph, it's always 1 upward and 4 rightwards, therefore, the slope is 1/4. Also, the y-intercept is 0 in this case.

There are 16 years will it take for the population to quadruple i.e. four times the initial population.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

Given that a population of a country grows exponentially and continuously at a rate of 9% per year.

The number of years it takes for the population to quadruple i.e. four times the initial population.

As per the given condition, the required solution would be as:

⇒ 4p = p[tex]e^{0.09t}[/tex]

Divided by p into both sides of the above equation,

⇒ 4p/p = p[tex]e^{0.09t}[/tex]/p

⇒ 4 = [tex]e^{0.09t}[/tex]

Take the natural logarithm of both sides of the equation,

⇒ ln 4 =  ln  [tex]e^{0.09t}[/tex]

⇒ ln 4 = 0.09t ln e

∵ ln e = 1

⇒ ln 4 = 0.09t

Divided by 0.09 into both sides of the above equation,

⇒ ln 4 / 0.09 = 0.09t / 0.09

⇒ t = 16

Thus, there are 16 years will it take for the population to quadruple.

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Answer:

Step-by-step explanation:

I'm not sure I would cross multiply as my first step.

How about subtracting 7/3 first.

0.5x = 21/4 - 7/3

0.5x = 21*3/(4*3) - 7*4/(3*4)

0.5x = 63 / 12 - 28/12

0.5x = 35/ 12                      Now multiply by 2

2*0.5x = 35*2 / 12

x = 70/12

x = 5 10/12   or

x = 5 5/6      or

x = 5.8333333

There might be a slightly easier way of doing this.

Suppose you multiply by 2 to begin with

x + 14/3 = 42/4

x + 14/3 = 21/2

x = 21/2 - 14/3

x = 63/6 - 28/6

x = 35/6

x = 5 5/6

I don't think there is much difference in how you do it. The numbers are just plain ugly.  

Answer: The answer is equivalent fractions.

Step-by-step explanation:

I hope this helped you! :D

Answer:

Step-by-step explanation:

A) x/840=1/21

x=(1/21)*840=840/21=40

x=40

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

B) 14/x=16/20

simplify 16/20 into 4/5

14/x=4/5

x=14/(4/5)=(14/1)(5/4)=70/4

simplify

x=35/2