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3 years ago

What is a possible first step in solving the equation? -4k + 9 = -k - 3

Mathematics

2 answers:

fomenos3 years ago

3 0

Answer:

subtract 9 both sides -4 = -k -12 then ad 12 both sides , 8 = -k

Step-by-step explanation:

Bezzdna [24]3 years ago

3 0

Answer:

k = 4

Step-by-step explanation:

Possible first steps:

-4k + 9 = -k - 3

+k +k add k to both sides

-4k + 9 = -k - 3

- 9 - 9 subtract 9 from both sides

(LTLNTR a.k.a letters to left, numbers to right)

Hope this helps :)

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Help pleaseee! dont guess

Crank

Answer:

1: True, 2: False

Step-by-step explanation:

With the first one, probability by defintion is the odds of if an event will happen or not, so it is true.

With the second one, it is false as if something is for sure going to happen, it will have a 100% or "1" chance of occurring. If it has a 1% chance of occuring, it would be 0.01.

8 0

3 years ago

Students who attend Washington Middle School are either in seventh or eighth grade. At the end of the first semester 25% of the

Irina18 [472]

Answer:

There are 1240 students who attended Washington Middle School.

Step-by-step explanation:

Given:

Students who attend Washington Middle School are either in seventh or eighth grade.

At the end of the first semester 25% of the students at Washington Middle School were on the honor roll.

Seventh graders represented 60% of the students on the honor roll.

If 124 students on the honor roll were in eighth grade.

Now, to find the students attend Washington Middle School.

Let the total number of students be $x.$

So, the students at Washington Middle School were on the honor roll:

25% of $x$

$=\frac{25}{100} \times x$

$=\frac{25x}{100}$

$=\frac{x}{4}$

As, given seventh graders represented 60% of the students.

So, the students on the honor roll represented as seventh graders:

$60\%\ of\ \frac{x}{4}$

$=\frac{60}{100} \times \frac{x}{4}$

$=0.6\times \frac{x}{4}$

$=\frac{0.6x}{4}$

As, 124 students on the honor roll were in eighth graders.

Thus,

According to question:

$\frac{x}{4} -\frac{0.6x}{4} =124$

$\frac{x-0.6x}{4} =124$

$\frac{0.4x}{4} =124$

Multiplying both sides by 4 we get:

$0.4x=496$

Dividing both sides by 0.4 we get:

$x=1240.$

Therefore, there are 1240 students who attended Washington Middle School.

6 0

4 years ago

Choose the equation for the graph.

Marina CMI [18]

Answer:

Step-by-step explanation:

You just find the rate of change. So you would divide 30/1 which equals 30. So the equation is y=30x.

8 0

3 years ago

Read 2 more answers

Simplify the expression by combining like terms. 22+5m−4m+7n−8

rewona [7]

Answer: The simplified form by combining like terms is given by

$14+m+7n$

Step-by-step explanation:

Since we have given that

$22+5m-4m+7n-8$

Now, we combine the like terms :

1) First we collect m terms :

$22+5m-4m+7n-8\\\\=22+m+7n-8\\\\$

2) Combine n terms and constant terms :

$=22-8+m+7n\\\\=14+m+7n$

Hence, the simplified form by combining like terms is given by

$14+m+7n$

6 0

3 years ago

Read 2 more answers

Find the derivative of the function at P 0 in the direction of A. f(x,y,z) = 3 e^x cos(yz), P0 (0, 0, 0), A = - i + 2 j + 3k

Alik [6]

The derivative of $f(x,y,z)$ at a point $p_0=(x_0,y_0,z_0)$ in the direction of a vector $\vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k$ is

$\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}$

We have

$f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k$

and

$\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}$

Then the derivative at $p_0$ in the direction of $\vec a$ is

$3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}$

3 0

4 years ago