What is the greatest common factor of 4k, 18k4, and 12?

Given:

The given equation is:

[tex]16-3p=\dfrac{2}{3}p+5[/tex]

To find:

The value of p.

Solution:

We have,

[tex]16-3p=\dfrac{2}{3}p+5[/tex]

Multiply both sides by 3.

[tex]3(16-3p)=3\left(\dfrac{2}{3}p+5\right)[/tex]

[tex]48-9p=2p+15[/tex]

Isolating the variable terms, we get

[tex]48-15=2p+9p[/tex]

[tex]33=11p[/tex]

Divide both sides by 11, we get

[tex]\dfrac{33}{11}=p[/tex]

[tex]3=p[/tex]

Therefore, the required solution is [tex]p=3[/tex].

Answer:

p=3

Step-by-step explanation:

i got it right on khan

Answer:

Step-by-step explanation:

Use pythagorean theorem to get BC = 12cm and DC = 9cm after getting BC.

Sin(ø) = opp/hyp = 9 cm/15 cm = 3/5

Answer:

A) 5

Step-by-step explanation:

Answer:

h² + x² = d²

Step-by-step explanation:

h and x are legs. d is the hypotenuse.

h² + x² = d²

Answer:

-3x + y = -14

Step-by-step explanation:

m = 3/1 = 3

1 = 15 + b

b = -14

Y = 3x - 14

-3x + y = -14

Answer:

Since -8<0 then the roots α and β of the quadratic equation ax^2 + bx + c = 0 are unequal and imaginary: α and β are a pair of the complex conjugates.

Answer:

66.6666666667

Step-by-step explanation:

answer is 66.6666666667

The solution of the division of 5⁻² by 8^(1/3) will be 50.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given numbers will be solved as:-

Division = ( 8 ^ (1/3) / 5⁻²

Division = 2 x5²

Division = 50

Therefore, the solution of the division of 5⁻² by 8^(1/3) will be 50.

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Answer:

x = 17.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 42 = x/23

23 cos 42 = x

17.09233 =x

Rounding to 1 decimal place

x =17.1

Answer:

0.017741

Step-by-step explanation:

Answer:

A. Function

B. Not a function

C. function

Answer:

The correct answer is - 17.

Step-by-step explanation:

Given:

total students = 219

in chemistry = 112

in physics = 45

not enrolled in either of these = 79

solution:

The number of students in both classes can be calculated by

P ( A or B) = P (A) + P (B) - P (A and B)

then putting and solving the given vaues in formula

=> (219-79) = 112+45-x

=> 140 = 157 -x

=> 17 = x

Answer:

that description would produce a negative slope..

see image

Step-by-step explanation:

Answer:

26.124

Step-by-step explanation:

SOH CAH TOA

tan 43 = about 0.933

than times it by 28 and get

26.124

Answer:

An apple costs $0.45 and a banana costs $0.66.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

An apple costs x.

A banana costs y.

2 apple and 5 bananas cost 4.20 dollars

This means that:

[tex]2x + 5y = 4.2[/tex]

So

[tex]2x = 4.2 - 5y[/tex]

[tex]x = 2.1 - 2.5y[/tex]

3 apples and 4 bananas cost 4.

This means that:

[tex]3x + 4y = 4[/tex]

Since [tex]x = 2.1 - 2.5y[/tex]

[tex]3(2.1 - 2.5y) + 4y = 4[/tex]

[tex]6.3 - 7.5y + 4y = 4[/tex]

[tex]3.5y = 2.3[/tex]

[tex]y = \frac{2.3}{3.5}[/tex]

[tex]y = 0.66[/tex]

Then:

[tex]x = 2.1 - 2.5(0.66) = 0.45[/tex]

An apple costs $0.45 and a banana costs $0.66.

Answer:

6

Step-by-step explanation:

very easy.

this simply means what is the value of x, so that the result of the function is 7.

remember, the domain is the interval of valid values for x.

and the range is the interval of valid values of y (or functional results).

so,

7 = (3x - 4)/2

14 = 3x - 4

18 = 3x

x = 6

so, for x = 6 the function delivers 7 as result.

Answer:

x = 21

Step-by-step explanation:

11x – 32 = 31 + 8x

11x = 63 + 8x

3x = 63

x = 21

Step-by-step explanation:

Answer with explanation is in the attachment

Hope my answer is helpful to you

Answer:

I think 5q+3(8-q) =36 is the answer for this question

Based on the amount the restaurant manager spends on the juice mixture, the amount of cherry juice can be found as 5q + 3(8 – q) = 8.

Assuming the cherry juice is q and the lime juice is r, the following formulas would be true:

q + r = 8

5q + 3r = 36

The first equation can be rewritten as:

q + r = 8

r = 8 - q

Using substitution into the second formula we get:

5q + 3r = 36

5q + 3(8 - q) = 36

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Answer:

Odd symetry I think

Step-by-step explanation:

Sorry I'm new can you be my friend too please?

Hope this helps!:)

Have a nice day.

Keep scrolling for more....

Have a great day

You can do anything you put your mind to

^_^

:)

This is it

The percentage of failed students is 12%

We have,

Total number of students = 175

Number of students passed = 154

We need to calculate the percentage of the number of failed students.

The formula used to calculate the percentage is:

     [tex]\frac{ required~value}{total~value} \times 100[/tex]

Here,

Total value:

= Total number of students

= 175

Required value:

= Number of students failed

= Total number of students - Number of students passed

= 175 - 154

= 21

Percentage of failed students:

=  [tex]\frac{21}{175} \times 100\\[/tex]

= ( 21 x 100 ) / 175

= 2100 / 175

= 12 %

The percentage of failed students is 12%.

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Answer:

Solution: To determine mass of the block we can use second Newton' law \vec F=m\vec a

F

=m

a

. The force and acceleration according the problem is directed along a horizontal surface, and we can omit the vector sign in Newton's law. The force we know F=45NF=45N, thus we should deduce the acceleration. The problem does not specify the initial speed at which time began to count, so for the first time interval, we may write the kinematics equation in the form

(1) S_1=v_1\cdot t_1+a\frac {t_1^2}{2}S

1

=v

1

⋅t

1

+a

2

t

1

2

, where S_1=8m, t_1=2s S

1

=8m,t

1

=2s , other quantities we don't know. The similar equation we can write for next time interval

(2) S_2=v_2\cdot t_2+ a\frac{t_2^2}{2}S

2

=v

2

⋅t

2

+a

2

t

2

2

. where S_2=8.5m, t_2=1s S

2

=8.5m,t

2

=1s

Note that during the first time interval, the speed of the block increased in accordance with the law of equidistant motion and it became the initial speed of the second interval, i.e.

(3) v_2=v_1+a\cdot t_1v

2

=v

1

+a⋅t

1

Substitute (3) to (2) we get

(4) S_2=(v_1+a\cdot t_1)\cdot t_2+ a\frac{t_2^2}{2}=v_1\cdot t_2+a\cdot t_1\cdot t_2+a\frac{t_2^2}{2}S

2

=(v

1

+a⋅t

1

)⋅t

2

+a

2

t

2

2

=v

1

⋅t

2

+a⋅t

1

⋅t

2

+a

2

t

2

2

From equation (1) and (4) we can exclude unknown quantity v_1v

1

, then remain only one unknown aa. For determine aa we dived (1) by t_1t

1

, (4) by t_2t

2

to find the average speed at time intervals and subtract (1) from (4).

(5) \frac {S_2}{t_2}-\frac {S_1}{t_1}=v_1+a\cdot t_1 +a\frac {t_2}{2}-(v_1+a\frac{t_1}{2})=a\frac{t_1+t_2}{2}-

t

2

S

2

−

t

1

S

1

=v

1

+a⋅t

1

+a

2

t

2

−(v

1

+a

2

t

1

)=a

2

t

1

+t

2

− For acceleration we get

(6) a=2\cdot ( {\frac{S_2}{t_2}-\frac{S_1}{t_1})/(t_1+t_2)}=2\cdot \frac{(8.5m/s-4m/s)}{3s}=3ms^{-2}a=2⋅(

t

2

S

2

−

t

1

S

1

)/(t

1

+t

2

)=2⋅

3s

(8.5m/s−4m/s)

=3ms

−2

For mass from second Newton's law we get

(7) m=\frac{F}{a}=\frac{45N}{3ms^{-2}}=15kgm=

a

F

=

3ms

−2

45N

=15kg

Answer: The mass of the block is 15 kg

Answer:

3850 of those 6 person teams contain at most 3 men.

Step-by-step explanation:

The order in which the people are selected is not important, which means that the combinations formula is used to solve this question.

It drove 30.08 kilometers in an hour.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

0 men:

6 women from a set of 8. So

[tex]C_{8,6} = \frac{8!}{2!6!} = 28[/tex]

1 men:

5 women from a set of 8

1 men from a set of 7. So

[tex]C_{8,5}C_{7,1} = \frac{8!}{3!5!} \times \frac{7!}{1!6!} = 392[/tex]

2 men:

4 women from a set of 8

2 men from a set of 7. So

[tex]C_{8,4}C_{7,2} = \frac{8!}{4!4!} \times \frac{7!}{2!5!} = 1470[/tex]

3 men:

3 women from a set of 8

3 men from a set of 7. So

[tex]C_{8,3}C_{7,3} = \frac{8!}{5!3!} \times \frac{7!}{3!4!} = 1960[/tex]

How many 6 person teams contain at most 3 men?

28 + 392 + 1470 + 1960 = 3850

3850 of those 6 person teams contain at most 3 men.

Answer:

6x-5 if x<5

Step-by-step explanation:

If x<5, then x-5<0.

If x-5 is negative, then |x-5)=-(x-5) or -x+5.

5x - |x - 5|

5x-(-x+5) provided x<5

5x+x-5 by distributive property

6x-5 combined liked terms

Step-by-step explanation:

what's the questions??

I'm just going to start writing the email XD (btw, bold = non-email parts/me talking)

Hey (Friend name),

You kinda missed math the other day, and being the nice friend I am, I decided to catch you up on what we learned.

We learned how to solve a system of equations using the substitution method.

A system of equations is a set of two or more equations with common variables. We use those two equations to solve for the variables.

One example might be:

3x+y=3

4x+3y=10

Solving each of these two equations by themselves would be impossible, so this is where the substitution method comes in.

Solving by substitution means that you first solve one equation for a variable, and then you substitute the value of that variable into the other equation. You might understand better if you see how I use this method to solve the previous system.

Step 1: Solve for y.

 3x+y=3

 Subtract 3x from each side.

 y=3-3x

Step 2: Use the substitution method (plug in the y value).

 4x+3y=10

 4x+3(3-3x)=10

 See how we plugged in the right side of the equation that is equal to y? Now       only the x variable is left and we can easily solve it!

Step 3: Simplify to get x.

 4x+9-9x=10

 -5x=1

 x=-1/5

Step 4: Use the substitution method AGAIN (for the y).

 Now we plug in the x value into the equation for y.

 y=3-3x

 y=3-3(-1/5)

 y=3-(-3/5)

 y=18/5

The final answer is x=-1/5, y=18/5.

As you can see, using the substitution method to solve two impossible equations is how we can get the values of the variables they share! It's simple, quick, and easy!

Sincerely,

(your name)

I hope this helped! :D

Answer:

I think it is either B or C

Sorry if it is wrong

Step-by-step explanation:

Answer:

[tex]\text{(D) }\frac{\sin 110^{\circ}}{x}=\frac{\sin 40^{\circ}}{20}[/tex]

Step-by-step explanation:

We can use the Law of Sines to solve this problem. The Law of Sines works for any triangle and states that the ratio of any angle and its opposite side is maintained throughout all angles of the triangle:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

In the figure, the angle marked 110 degrees has an opposite side labelled [tex]x[/tex]. However, the angle opposite to the side marked 20 is still unknown, so let's find it.

The sum of the interior angles of a triangle is always 180 degrees. Therefore, let the third angle be [tex]\theta[/tex]. We have:

[tex]\theta + 110^{\circ}+30^{\circ}=180^{\circ},\\\theta+140^{\circ}=180^{\circ},\\\theta=40^{\circ}[/tex]

Now we have the relevant angle and we can set up the proportion:

[tex]\boxed{\frac{\sin 110^{\circ}}{x}=\frac{\sin 40^{\circ}}{20}}[/tex]

Answer:

Les deux nombres doivent avoir une différence de 3. Algébriquement, ce serait x + (x + 3) = 129. 2x est alors égal à 126. X est égal à 63 et x + 3 est à 66. Ces nombres sont des multiples consécutifs de 3 dont la somme est de 129.

Step-by-step explanation:

The two numbers must have a difference of 3. Algebraically, it would be x + (x + 3) = 129. 2x then is equal to 126. X equals 63 and x + 3 is 66. These numbers are consecutive multiples of 3 whose sum is 129.