There are 200 counters in a bag.
50 of them are taken out and have a dab of white paint placed on them.
These 50 marked counters are now put back in the bag which is given
a good shake to ensure even distribution of the marked counters.
80 counters are now taken out of the bag.
About how many of them would you expect to be marked with a
dab of white paint?

Answer:

2x-3

Step-by-step explanation:

4(x - 3) - 2x + 9

Distribute the 4

4x -12 -2x+9

Combine like terms

4x-2x  -12+9

2x -3

Answer:

The middle term, once simplified is -x

Step-by-step explanation:

( x+3) (x-4)

FOIL

first

x*x = x^2

outer: -4*x = -4x

inner: 3*x = 3x

last: -4*3 = -12

Add them together  x^2 -4x+3x-12

                                 x^2 -x +12

Answer: You can use a graphing calculator in the future

(2,3)

A

Answer:  A(2,3)

Step-by-step explanation:

To solve the system of equations;

y=-1/2x+4 and y = 2x – 1

y=-1/2x+4   ----------(1)

y = 2x – 1 -----------(2)

Lets substitute equation 2 in equation 1

2x - 1 =  -1/2x+4

Collect like term

(We move the x variables from the right -hand side of the equation to the right-hand side of the equation to the right-hand-side of the equation and then move the constants to the right-hand side of the equation)

2x  + 1/2x  =   4  + 1

5x/2  =  5

To get the value of x, we will multiply both-side of the equation by 2/5

5x/2  ×   2/5       =  5   ×   2/5

(On the left-hand side of the equation, the 5/2 will cancel out the 2/5 leaving us with x  and on the right-hand side of the equation 5 will cancel out 5 leaving us with 2)

x   =  2

Substitute x =2 in equation (2)

y =  2x  -  1

y =  2(2)  - 1

y =   4  -1

y =3

The solution to the system of the equations is x=2 and y=3

Therefore the answer is A(2,3)

Answer:

-3,0

Step-by-step explanation:

this is the answer hope u like it

Answer:

x=4

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

(x-4)(x-4)=0

if x=4 then 4-4=0

0^(x-4)=

x-4=0

0^0=0

See the attached picture:

Answer: A. yes, by SSS Similarity Theorem

Step-by-step explanation:

From the given picture, it can be seen that we have all the sides of bothe the triangles.

SSS Similarity Theorem says that if the ratio of lengths of the corresponding sides of two triangles are then the triangles must be similar.

From the given picture , the ratio of the sides is given by :-

[tex]\dfrac{10}{35}=\dfrac{2}{7}\\\\\dfrac{12}{42}=\dfrac{2}{7}\\\\\dfrac{11}{36.5}=\dfrac{2}{7}[/tex]

Thus, the ratio of lengths of the corresponding sides of two triangles are equal.

Hence, the triangles must be similar by SSS similarity theorem.

Answer:

29/5 or 5.8

Step-by-step explanation:

6+5(a−1)=30

first it would be good to distribute:

6+5(a-1)=30 -> 6+(5)(a)+(5)(−1)=30 which simplifies to 6+5a+−5=30

at this point it is best to rearrange:

(5a)+(6+−5)=30 which simplifies to 5a+1=30

from then on its a matter of doing opposite operation. at my school we would call this the "equality" method. what you do to one side you do the other.

Observe:

5a+1=30

    -1   -1

5a=29

5a/5=29/5

a=29/5 (in decimal it would be like 5.8)

I hope this is helpful!

Answer:

1/56 gallon

Step-by-step explanation:

The car wash has 1/7 gallons of soap and they can use 1/8th of it each day. So, you would set up [tex]\frac{1}{7}[/tex] x [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{56}[/tex].

The first step of solving this inequality is subtracting 3 to both sides. This will cancel 3 from the left side to start isolating x.

2x + 3 - 3 ≥ 17 - 3

2x ≥ 14

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

x≥7

Step-by-step explanatio

To solve this problem, subtract 3 from both sides and divide by 2 from both sides.

2x+3-3≥17-3

17-3=14

2x≥14

2x/2≥14/2

14/2=7

x≥7 is the correct answer.

Answer:

-7

Step-by-step explanation:

Mischa's equation is   -x² + 4x - 7 = 0

The standard form is ax² + bx + c = 0

c is the constant term in the quadratic equation.

If we compare terms, we find that c = -7.

Answer:

a CANNOT be even ⇒ answer A

Step-by-step explanation:

* Lets revise the rules of even and odd numbers

- Even numbers any number its unit digit is (0 , 2 , 4 , 6 , 8)

- Odd numbers any number its unit digit is (1 , 3 , 5 , 7 , 9)

# even + even = even ⇒ 2 + 4 = 6  

# odd + odd = even ⇒ 1 + 3 = 4  

# odd + even = odd ⇒ 1 + 2 = 3  

# even × even = even ⇒ 2 × 4 = 8

# odd × odd = odd  

⇒ 3 × 5 = 15

# odd × even = even  ⇒ 5 × 6 = 30

∵ a[b(c + d) + e] = odd

∵ odd × odd = odd  

∴ a must be odd and [b(c + d) + e] must be odd

∵ odd + even = odd

∵ odd × even = even

# Case 1

∴ b(c + d) must be odd  if e even

∵ b(c + d) is odd

∴ b must be odd and (c + d) must be odd

∵ c + d must be odd

∵ odd + even = odd

∴ c or d can be even

- We now now that e , c and d can be even

# case 2

∴ b(c + d) must be even  if e odd

∵ b(c + d) is even

∵ even × even = even

∴ b and (c + d) both can be even

∵ c + d can be even

∴ c or d can be even or odd

- We now now that e , c , d and b can be even

∴ Only a can not be even

* a CANNOT be even

Answer:

4/27

Step-by-step explanation:

x^-3y^-3

Let  x=2 and y=3

2^ (2) (3)^-3

2^2 * 1/3^3

4/27

Answer:

Facing Right

Step-by-step explanation:

Given inequalities are:

4-x≤-1

Subtracting 4 from both sides

4-x-4≤-1-4

-x≤-5

Multiplying both sides with -1. Multiplying with a negative number changes the sign of the inequality

So,

x≥5

Second Inequality:

2+3x≥17

Subtracting 2 from both sides

2+3x-2≥17-2

3x≥15

Dividing both sides by 3

x≥5

Union of both solutions:

x≥5 ∩ x≥5

=> x≥5

Hence the solution will be facing right on the number line towards all numbers greater than or equals to 5 ..

Answer:

0.40625

Step-by-step explanation:

Answer:

The answer is 13/2

Step-by-step explanation:

Answer:

1200 cm²

Step-by-step explanation:

width = x cm

length = 3x  cm

perimeter = 160 cm

2(x + 3x) = 160

4x = 160/2

4x = 80

x = 80/4

x = 20  cm  - width

length = 3x = 3 · 20 = 60 cm

Area = length · width = 60 · 20 = 1200 cm²

The rectangle's width is 20 cm and its length is 60 cm. Thus, the area of the rectangle is 1200 square centimeters.

We are given that the length of a rectangle is three times its width. Let's denote the width as 'w'. Consequently, the length would be '3w'.

The perimeter of a rectangle is given by the formula: 2*(length + width). Given that the perimeter is 160 cm, we can substitute our variables into the formula: 2*(w + 3w) = 160. This simplifies to 8w = 160. Therefore, the width (w) equals 20 cm, and the length is 60 cm (3w).

The area of a rectangle is calculated by multiplying its length and width. Hence, the area of our rectangle is: 60 cm * 20 cm = 1200 square centimeters.

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Answer:

30 laps per hour

Step-by-step explanation:

The first thing you do is calculate the amount of hours he swam for. Since he swam 2 hours each day, 5 days each week, for 5 weeks we use the equation 2*5*5. The answer is 50. After that what we do is take the amount of laps and divide it by 50. We do 1500 divided by 50 and we get a total of 30 laps per hour.

Answer:

51/x

The first number/ variable always goes on top

Answer:

Step-by-step explanation:

y-intercept: (0, y)

x-intercept: (x, 0)

Therefore the y-intercept is only (0, 1).

Answer:

987.

Step-by-step explanation:

The terms in a Fibonacci series are obtained form the sum of the previous 2 terms. So the next number F(16) = 377 + 610 = 987.

APEX ANSWER: 987

Step-by-step explanation:

377 + 610 = 987

Answer:

None of then, the slope is 1

Step-by-step explanation:

We have to use the general equation for lines, that is:

[tex]y=mx+b[/tex]

where 'm' is the slope (by comparison)

So, we only need to compare your equation ([tex]y=x-3[/tex]) with the general one.

We can see that m=1, b=-3

So our slope turns out to be equals to 1

Answer:

[tex]h(x)=\frac{1}{4}x[/tex].

Step-by-step explanation:

The inverse is basically you just swapping x and y.  People want to solve it for y to make it a function of x.

[tex]y=4x[/tex]

Swap x and y:

[tex]x=4y[/tex]

Now solve for y by dividing y on both sides:

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

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

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

Answer:

the answer will be verticle angles

Step-by-step explanation:

∠4 and ∠5 form vertical angles.

When two lines intersect each other, then non-adjacent opposite angles are called vertical angles.

Vertical angles are always equal in measurement.

If line AB and CD intersect each other at point O, ∠AOC and ∠BOD are vertical angles, similarly, ∠AOD and ∠BOC are also vertical angles.

Here lines 1 and 2 intersect each other.

So ∠4 and ∠5 are formed which are non-adjacent and opposite also.

Therefore ∠4 and ∠5 form vertical angles.

Learn more about vertical angles

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Answer:

see explanation

Step-by-step explanation:

The range is the set of y- values of the ordered pairs without repeats.

3

given

(4, 7), (4, - 3), (- 5, - 9)

Then the values of y are 7, - 3, - 9

hence range is { - 9, - 3, 7 }

For

(- 4, - 2), (2, 1), (4, 1)

Then the values of y are - 2, 1, 1

Hence range is { - 2, 1 }

Answer:

2nd , 3rd, & 4th

Step-by-step explanation:

[tex](6x^2+5)-(4x-3)=6x^2+5-4x+3=6x^2-4x+8[/tex]

ANSWER B

I took the test and that was the correct answer

Intersecting chord rule:

DK x KB = AK x CK

12 x 4x+1 = 14 x 3+3x

Simplify:

48x +12 = 42x +42

Subtract 12 from each side:

48x = 42x + 30

Subtract 42x from each side:

6x = 30

Divide both sides by 6:

x = 5

Now find the length of KB: 4x +1 = 4(5) +1 = 20 +1 = 21

Now add KB and AK:

21 + 14 = 35

The answer is D. 35

The required length of KB(21) + AK(14) is 35. Option D is correct.

The figure is given,
where AK = 14. DK = 12, KB = 4x+1 and  KC =3+3x.
KB + AK to be determined.

The ratio can be defined as the relativeness of the fraction of one quantity towards others.

Here,
The ratio of AK: DK = KB:KC

[tex]14/12= 4x+1/3+3x\\14*(3+3x) = 12*(4x+1)\\2+42x = 48x+12\\42-12=48x-42x\\6x= 30\\x = 5[/tex]

Now,
= KA + KB
= 14 + 4x+1
= 14+ 4(5)+1
= 35

Thus, the required length of KB + AK is 35.

Learn more about ratios here:

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Answer:

{-3,0,4,11}

Step-by-step explanation:

{(-3,6),(0,2),(4,7),(11,15)}

The domain is the input values, or x coordinates

{-3,0,4,11}

Answer:

The answer is (5*2x) - (5*3)

Step-by-step explanation:

You just have to multiply the coefficient by the individual numbers and variables inside the parentheses. :)