What is the smallest counting number divisible by 2, 4, 5, 6, and 12

Answer:

C.

Step-by-step explanation:

❌Option A is incorrect

Rationale: from the graph, 1 hr on the x-axis doesn't correspond to $100 on the y-axis

❌Option B is incorrect

Rationale: from the graph, 2 hrs on the x-axis doesn't correspond to $200 on the y-axis. It can't also be the unit rate because unit rate would be the amount of dollars per 1 hr.

✅Option C is CORRECT

Rationale: from the graph, 8 hrs on the x-axis corresponds to $500 on the y-axis

❌Option D is incorrect

Rationale: from the graph, 4 hr on the x-axis doesn't correspond to $300 on the y-axis

Answer:

4x^2 + 12x + 9

Step-by-step explanation:

(2x + 3)^2

it is in the form of (a + b)^2

(a + b)^2 = a^2 + 2*a*b + b^2

(2x + 3)^2

(2x)^2 + 2*2x*3 + (3)^2

4x^2 + 12x + 9

Answer:

x= 5 , y = 34

Step-by-step explanation:

8x-6=5x+9

3x-6=9

3x=15

x=5

-

8(x5) - 6 =

34

25(x5) +9 =

34

Answer:

x = 5 and y = 34

Step-by-step explanation:

I used substitution method and did this ;

8x - 6 = 5x + 9 .....put like terms together

8x - 5x = 9 + 6

3x = 15

x = 5

y = 8 (5) - 6

y = 40 - 6

y = 34

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

Explanation:

We have something of the form [M*N]^2 where M = 3 and N = (2a)^(3/2)

Squaring the M leads to M^2 = 3^2 = 9

Squaring the N leads to N^2 = (2a)^3 = 8a^3

Notice how the fractional exponent goes away. The denominator '2' cancels with the '2' from the squaring operation

In other words, the rule is [tex]\left(x^{1/2}\right)^2 = x[/tex] where x is nonnegative.

A more general form of the rule is [tex]\left(x^{p/2}\right)^2 = x^p[/tex]

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

After squaring M and N, we then get to

[MN]^2 = M^2*N^2 =  9*8a^3 = 72a^3

So that shows why choice B is the answer.

Answer:

1 is cofficient of X ²

20%=1/5 so the tip amount is 1/5*($38.00)=$7.60

Answer:

new price 101.19

Step-by-step explanation:

First find the amount of the discount

114.99 * 12%

114.99 *.12

13.7988

Rounding to the nearest cent

13.80

Subtract from the original price

114.99-13.80

101.19

Answer:

$101.2

Step-by-step explanation:

original price = $ 114.99

discount % = 12%

discount amount = ?

Noe,

discount amount = discount % of original price

=12/100 * $114.99

=1379.88/100

=13.7988

New price of a toys after discount = original price - discount amount

=$114.99 - $ 13.7988

=$101.1912

=$101.2 (after converting answer to the nearest tenth)

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.

Answer:

A

Step-by-step explanation:

Answer:

option a and b

Step-by-step explanation:

peanuts=1/4 cup    ratio=1:4

raisins=1/2 cup        ratio=1:2

chocolate chips=3/4 cup      ration=3:4

granola =1 cup            ration=1:1

a. ratio of cop of rasins to cup of peanuts=2:1 or 2/1

1/2 = 1/4=2/1

do cross multiplication

4*1=2*1=2/1

4/2=2/

2/1=2/1

2:1=2:1  this is satisfied

b.ratio of cup of granola to cup of peanuts=1:4 or 1/4

1/1=1/4

do crss multiplication

1*1/4*1=1/4

1/4=1/4

1:4=1:4      this is satisfied as both are equal

c.the ratio of cup of chocolate chips to cup of raisins=3:1 or 3/1

3/4=1/2

do cross multiplication

3*2=4*1=3/1

6/4=3/1

6:4=3:1   this is not satisfied as they are different.

d.the ratio of cup of raisins to cup of granola=1:3 or 1/3

1/2=1/1

do cross multiplication

1*1=2*1=1/3

1/2=1/3

1:2=1:3    this is not satisfied as they are different.

e. the ratio of cup of granola to cup of chocolate chips =4:3 or 4/3

1/1=3/4

do cross multiplication

3*1=4*1=4/3

3/4=4/3

3:4=4:3    this is not satisfied as they are not equal

therefore ur answer is option a and b.

Answer:

Total depreciation now will be $51500 and the depreciation for you will be $5575

Step-by-step explanation:

Your welcome! :)

Therefore, Amber should graph the equation Y1 = X+61.

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to). Inequalities are used to describe a range of possible values for a variable, rather than a single value. Inequalities can be solved by performing operations on both sides of the inequality symbol, just like equations. However, there are some important differences between solving equations and solving inequalities. For example, if we multiply or divide both sides of an inequality by a negative number, we need to reverse the direction of the inequality symbol.

Here,

To graph the inequality X+61- 12 < 13, we need to rearrange it to the form Y < MX + B, where Y is on the left-hand side and X is on the right-hand side. This gives:

Y < -X + 64

Now we can graph the line Y = -X + 64 and shade the region below it, since we want Y to be less than this expression.

Out of the equations given, Y1 = X+61 is the closest to the inequality we are trying to graph. However, the coefficients of X and Y are reversed, so we need to rearrange it to the desired form:

Y - X < 61

Y < X + 61

To know more about inequality,

https://brainly.com/question/30239204

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Answer:

first you add then you subtract

Step-by-step explanation:

Answer:

The answer is (B) - (7+4 i) + (7 minus 4 i) = 14

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Have a nice day :)

Answer:

4x^4 + 6x^3 + 9x^2 − 4x + 3

Step-by-step explanation:

Simplify the expression. 4x^4 + 6x^3 + 9x^2 − 4x + 3

Step-by-step explanation:

Answer:

answer for this solution is 4x^4+6x^3+9x^2-4x+3

Answer:

its x^2 -25

Step-by-step explanation:

simply we know,

a^2-b^2=(a-b)(a+b)

Answer:

X=0

Y=2

Step-by-step explanation:

Just finished and i got it right

Answer:

n=9

Step-by-step explanation:

median =n +1/2

=9+1/2

=10/2

=5

5 th term is 31

Answer:

O DC = 65 and DE = 33.5

Step-by-step explanation:

DC is already given by AB

so DC is 65

DE would be BD split

DE is 33.5

Answer: O DC = 65 and DE = 33.5

Answer:

124

Step-by-step explanation:

Have a nice day :)

Arc AC is 180º, arc BC is 56º:

[tex]180+56 +\arc{BA} = 360\implies BA = 124[/tex]

Answer:

on the x axis because it is reflected there

Answer: im not 100% sure this is correct but i think it is

A= $7638.11

Step-by-step explanation:

A= Pe^rt ,

let r= is rate,

let t= is time in years

A=3200*e^(.0725*12)

=3200*e6^0.87

which gives you

A= $7638.11

Answer:

7

Step-by-step explanation:

AB//CD (Opposite sides of parallelogram are parallel)

Angle A + Angle B = 180 (Sum of interior angles=180)

138 + 7x - 7 = 180

7x - 7 = 180 - 138

7x = 42 + 7

7x = 49

x = 49/7

x = 7

Answer:

$750 for 4 percent annually

Step-by-step explanation:

3000/4 =750 But it also depends on if you want that 4 percent to grow.

Answer:

y= -3/2

Step-by-step explanation:

........................

Answer:

a)  5/33

Step-by-step explanation:

P(G then O) = 4/12 x 5/11

this is 1/3 x 5/11 which equals 5/33

Answer:

x = 34

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal if the lines parallel

2x+3 = 71

Subtract 3 from each side

2x+3-3 = 71-3

2x = 68

Divide by 2

2x/2 = 68/2

x = 34

Answer:

1/17

Step-by-step explanation:

I he had even got 1 out of the 3 places the probability would be 3/17

But as he is guessing all three places it becomes 1/17

The probability of getting the 1st,2nd, and 3rd position will be 1/17.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that while watching the Kentucky Derby horse races, you decide to guess who will win 1st, 2nd, and 3rd place. There are 17 horses in the race.

The probability is calculated by the formula,

Probability = Number of favorable outcomes / Number of sample

Number of favorable outcomes = 1

Number of samples = 17

Probability = Number of favorable outcomes / Number of sample

Probability = 1/17

Therefore, the probability of getting the 1st,2nd, and 3rd position will be 1/17.

To know more about probability follow

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Answer:

Step-by-step explanat

126

612

126

Answer:

Step-by-step explanation:

for side a

take 60 degree as reference angle

using tan rule

tan 60 =opposite /adjacent

[tex]\sqrt{3}[/tex] = a/6

do cross multiplication

6*[tex]\sqrt{3}[/tex] =a*1

[tex]6\sqrt{3} = a[/tex]

for b

using pythagoras theorem

a^2 + b^2 =c^2 (here a nd b are the legs of a right triangle and c is hypotenuse)

6^2 + [tex](6\sqrt{3})^2 = b^2[/tex]

36 + 6*6*3 = b^2

36 + 108 = b^2

144 = b^2

[tex]\sqrt{144}[/tex] = b

14 = b

for angle c

take 45 degree as reference angle

using cos rule

cos 45 = adjacent/hypotenuse

[tex]\frac{1}{\sqrt{2} } = \frac{c}{12}[/tex]

do cross multoplication

[tex]c*\sqrt{2} = 12*1[/tex]

[tex]c = \frac{12}{\sqrt{2} } \\\\c = 6\sqrt{2[/tex]