Which value for k makes the equation 42 ÷ k = 14 true

Answer:

The solutions to the system of the equations by the elimination method will be:

[tex]x=2,\:z=-1,\:y=2[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]2x\:+\:2y\:+z\:=\:7[/tex]

[tex]-x-\:y\:+z\:=\:-5[/tex]

[tex]x+3y-4z=12[/tex]

solving the system of the equations by the elimination method

[tex]\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]-2x-2y+2z=-10[/tex]

[tex]+[/tex]

[tex]\underline{2x+2y+z=7}[/tex]

[tex]3z=-3[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]2x+6y-8z=24[/tex]

[tex]-[/tex]

[tex]\underline{2x+2y+z=7}[/tex]

[tex]4y-9z=17[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}[/tex]

Rearranging the equations

[tex]\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}[/tex]

solve [tex]3z=-3[/tex] for z:

[tex]z=-1[/tex]

[tex]\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1[/tex]

solve  [tex]4y-9\left(-1\right)=17[/tex] for y:

[tex]4y-9\left(-1\right)=17[/tex]

[tex]4y+9=17[/tex]

[tex]4y=8[/tex]

[tex]y=2[/tex]

[tex]\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2[/tex]

solve [tex]2x+2\cdot \:2-1=7[/tex] for x:

[tex]2x+2\cdot \:2-1=7[/tex]

[tex]2x+3=7[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

Therefore, the solutions to the system of the equations by the elimination method will be:

[tex]x=2,\:z=-1,\:y=2[/tex]

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Answer:

uuuuuuuuuuuuuu

Step-by-step explanation:

Answer:

nonproportional

Step-by-step explanation:

proportional would mean that the y intercept is 0 but it's 3

Answer:

x = 11/2

Step-by-step explanation:

We would first put it in an equation

5x - 1 = 10 + 3x

We would first add 1 on both sides

5x = 11 + 3x

Then we subtract 3x on both sides

2x = 11

Divide both sides by 2

x = 11/2

The value of x from the given algebraic statement expression is;

x = 11/2

This is about simple Algebra.

       5x - 1 = 3x + 10

Let's add 1 to both sides to get;

5x - 1 + 1 = 3x + 10 + 1

⇒ 5x = 3x + 11

Let's subtract 3x from both sides to get;

2x = 11

Divide both sides by 2 to get;

x = 11/2

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Answer:

The correct answer is -6x⁶

Step-by-step explanation:

Given that:

[tex]3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8[/tex]

From the second step above, using the law of indices the correct format should be

[tex]= (3\times -2)x^{2+4}[/tex]

So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.

Then the result of that yields

= -6x⁶

In the third step, they also omit the negative sign, when multiplying (3 * -2).

Thus, the correct answer is -6x⁶

Answer:

The answer is 1

Step-by-step explanation:

14 = 2 × 7

51 = 3 × 17

21 = 3 × 7

Answer:

3.05 ft

Step-by-step explanation:

Answer:

She got 10% of the questions wrong !

Step-by-step explanation:

To solve this problem I used cross multiplication

[tex]\frac{x}{100}= \frac{18}{20}[/tex]

18 x 100 =1800

1800 / 20 = 90

Since they are asking what she got wrong, not what she got right, you just need to subtract.

100% - 90% = 10%

hope this helped !

Answer:

10%

Step-by-step explanation:

18/20 Questions = 0.9 or 90% she got right

2/20 Questions = 0.1 or 10% she got wrong

Answer:

Step-by-step explanation:

Step one:

given

speed, v= 4mph

time taken t=1 hour

The velocity is defined and the rate of change of displacement

Required:

Distance traveled

we know that the expression relating distance, velocity and time is

velocity= distance/time

distance= velocity* time

substitute we have

Distance=4*1

Distance= 4miles

The distance traveled and the displacement of the honeybee in miles  4miles

Answer:

Step-by-step explanation:

Using the the equation

The ball hits the ground, when h = 0, solving below equation:

Answer:

6.30 seconds

Step-by-step explanation:

Answer:

88°

Step-by-step explanation:

m∠AOB = m∠DOE = 88°

Answer:

i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

id recommend any song by brent faiyaz or lost boy by ruth b because it has a little more meaning orrrr the bigger picture by lil baby (thats a good one :)) orrrr girl of my dreams by rod wave orrrr almost is never enough  by ariana grande

Answer:

m=24

Step-by-step explanation:

First, we can combine like terms:

m/(5-2)=8

m/3=8

Now, we need to get m by itself. To do this, multiply by 3:

m/3*3=8*3

m=24

50

50 ÷ 5 = 10, 10-2 =8

kdjrjrjdjjfhrhy to truth thhrjrhejd

Answer: I think its answer choice b

Step-by-step explanation:

You're dividing so you would be subtracting the exponents

Answer:

The answer is in the attached screenshot

the Y intercept is 9

the slop is 5/3

hope this helps.

Step-by-step explanation:

May I have brainliest please? :)

Answer:jdjej

Step-by-step explanation: so u can give him brainliest

Answer:

[tex] \frac{1}{8} [/tex]

Answer:

The correct answer is 1/4!

Step-by-step explanation:

On Acellus

Have a great day!

Answer:

the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Step-by-step explanation:

We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]

Solving:

[tex](x + 2)^2 > 2x + 7[/tex]

Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]

Now factoring the term: [tex]x^2+2x-3>0[/tex]

Breaking the middle term: 2x= 3x-x

[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]

So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Answer:

The two numbers are 40 and 3

Step-by-step explanation:

Assume that the first number is x and the second number is y

∵ Four tenths = [tex]\frac{4}{10}[/tex] = 0.4

∵ One tenth = [tex]\frac{1}{10}[/tex] = 0.1

∵ Four tenths of 1st number increased by the 2nd number equals 19

∵ The 1st number = x and the 2nd number = y

∴ 0.4x + y = 19 ⇒ (1)

∵ One tenth of the 1st number decreased by the 2nd number is equal to 1

∴ 0.1x - y = 1 ⇒ (2)

Now we have a system of equations to solve it

→ Add equations (1) and (2) to eliminate y

∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)

∴ 0.5x + 0 = 20

∴ 0.5x = 20

→ Divide both sides by 0.5 to find x

∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{20}{0.5}[/tex]

∴ x = 40

→ Substitute the value of x in equation (1) or (2) to find y

∵ 0.4(40) + y = 19

∴ 16 + y = 19

→ Subtract 16 from both sides

∴ 16 - 16 + y = 19 - 16

∴ y = 3

∴ The two numbers are 40 and 3

the one dot by itself is 6,-5 and the line that is pink with two black dots are the slope-intercept of the equation y=3/4x-2 and theirs the answer copy and paste my image and quote to answer the question.

Answer:91 i think

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

6.5 x 14 =91

Answer:

It is d

Step-by-step explanation:

Assuming the trend continues, there will be 30 students on the 6th row of the bleachers.

According to the question,

We have the following details:

Number of students in 1st row = 10

Number of students in 2nd row = 14

Number of students in 3rd row = 18

Number of students in 4th row = 22

Now, if we carefully observe the arrangement made by the chorus teacher, we will observe that the arrangement has a pattern.

It is to be noted that with each row 4 students are increasing.

For example, in 2nd row the number of students is 14 (4 more than the previous row), in 3rd row the number of students is 18 (4 more than the previous row), etc.

Now, we have to find the number of students in 6th row. So, first we need to find the number of students in 5th row.

Number of students in 5th row = number of students in 4th row + 4

Number of students in 5th row = 22+4

Number of students in 5th row = 26

Now,

Number of students in 6th row = number of students in 5th row + 4

Number of students in 6th row = 26+4

Number of students in 6th row = 30

Hence, there are 30 students on the 6th row of the bleachers.

To know more about row here

https://brainly.com/question/27917476

#SPJ1

Answer

The answer is 14:13