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3 years ago

Multiple Choice Two Step Equation Word Problem

Mathematics

1 answer:

cestrela7 [59]3 years ago

5 0

Answer:

multiple choice answer is a) the answer however is 725

Step-by-step explanation:

220-75=145

145*5=725

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Solve the equation for x by graphing -2x + 3 = -3(-x) - 2

adoni [48]

Answer:

x = 1

Step-by-step explanation:

There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.

Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.

(-2x +3) -(-3(-x) -2) = 0

A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...

-5x +5 = 0

So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.

6 0

3 years ago

A company establishes a fund of 120 from which it wants to pay an amount,C, to any of its 20 employees who achieve a high-perfor

Leno4ka [110]

Answer:

$C=120/2=60$

Step by step Explanation'

To solve this problem, we will need to apply trial-and-error calculation with the binomial distribution, even though it appears like Central Limit Theorem but it's not.

For us to know the value of C , we will look for a minimum integer such that having 'n' number of high performance level of employee has the probability below 0.01.

Determine the maximum value of C, then the maximum value that C can have is 120/n

Let us represent X as the number of employees with high performance with a binomial distribution of

P =0.02( since the percentage of chance of achieving a high performance level is 2%)

n = 20 ( number of employees who achieve a high performance level)

The probability of X= 0 can be calculated

P( X= 0) = 0.98^n

$P(X=0)=0.98^20$

$P(X=0)=0.668$

$P(X=1)=0.02*20*0.98^19$

$P(X=1)=0.272$

$P(X=2)=0.02^2*20*0.98^18$

$P(X=2)=0.053$

Summation of P( X= 0)+ P( X= 1)+P( X= 2) will give us the value of 0.993 which is greater than 0.99( 1% that the fund will be inadequate to cover all payments for high performance.)

BUT the summation of P( X= 0)+ P( X= 1) will give the value of 0.94 which doesn't exceed the 0.99 value,

Therefore, the minimum value of integer in such a way that P(X >2) is less than 0.01 have n= 2

then the maximum value that C can have is 120/n

$C=120/2=60$

7 0

3 years ago

A line passes through the point (-2,7) and had a slope of -5

Annette [7]

Answer:

a = -1

Step-by-step explanation:

The general equation for a straight line is y = mx+c, where m is the gradient/ slope, so m = -5. The first thing we need to do is find c, which we do by plugging in the x and y values that we already know: y = 7 and x = -2

7 = -5*(-2) + c

7 = 10 + c

c = 7-10 = -3

Now, we have the general equation of y = -5x -3 and we can use this to find a.

We'll treat a as x and y will be equal to 2:

2 = -5a -3

5 = -5a (Divide both sides by 5)

-a = 1 (now by -1)

a = -1

7 0

3 years ago

Read 2 more answers

Which equation is correctly rewritten to solve for x?

ikadub [295]

Answer:

Option (A)

Step-by-step explanation:

Te given equation is,

-qx + p = r

Toe find the value of x,

By subtracting p from both the sides of the equation.

-qx + p - q = r - q

-qx = r - q

By dividing the whole equation by (-q),

$\frac{-qx}{(-q)}=\frac{r-p}{-q}$

x = $-\frac{r-p}{q}$

x = $\frac{p-r}{q}$

Therefore, Option (A) will be the answer.

4 0

3 years ago

Factor using the distributive property using the GCF <br> 10x-35

wlad13 [49]

Answer:

5(2x-7)

Step-by-step explanation:

7 0

3 years ago