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Allisa [31]
3 years ago
14

An unknown number w is 30 more than an unknown number p. The number w is also p less than 5. The equations to find p and w are s

hown below:
w = p + 30
w = −p + 5

Which is a correct step to find p and w?

Add the equations to eliminate p.
Multiply the equations to eliminate w.
Write the points where the graphs of the equations intersect the x-axis.
Write the points where the graphs of the equations intersect the y-axis.
Mathematics
2 answers:
Free_Kalibri [48]3 years ago
8 0

Answer:  The correct option is (A) Add the equations to eliminate p.

Step-by-step explanation:  Given that an unknown number w is 30 more than an unknown number p. The number w is also p less than 5. The equations to find p and w are shown below:

w=p+30~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\w=-p+5~~~~~~~~~~~~~~~~~~~~~~~(ii)

We are to select the correct step to find p and w.

Since the co-efficient of p is 1 and -1 in equations (i) and (ii) respectively, so adding both the equations will eliminate p, and we will get the value of w.

Then, substituting the value of w in any one of the equations will give us the value of p.

So, the system of equations is solved as follows :

Adding equations (i) and (ii), we get

w+w=30+5\\\\\Rightarrow 2w=35\\\\\Rightarrow w=17.5.

Substituting the value of w in equation (i), we get

p=w-30=17.5-30=-12.5.

Thus, the correct step is the add the equations to eliminate p.

Option (A) is CORRECT.

puteri [66]3 years ago
7 0

The given equations are

w = p+30 \\ w = -p+5

TO solve for p and w, we can use elimination method. And the first step is to eliminate p by adding both equations .

So out of the given options, correct option is the first option .

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Write the values that make the denominators zero. then solve the equation?
Olin [163]

Answer:

  denominators are zero for x=1

  there is no solution

Step-by-step explanation:

We suspect your equation is supposed to be ...

  10/(5x -5) +1/5 = 2/(x -1) . . . . . parentheses are required on denominators

The denominators will be zero for x=1.

This version of the equation has no solution. It simplifies to ...

  2/(x-1) + 1/5 = 2/(x -1)

  1/5 = 0 . . . . . subtract 2/(x-1) from both sides

There is no value of x that will make this equation true.

_____

<em>Alternative interpretation</em>

The way your equation is written, it must be interpreted according to the order of operations to be ...

  (10/5)x -5 +1/5 = (2/x) -1 . . . . x=0 makes the denominator zero

  2x -3.8 = 2/x

  2x^2 -3.8x = 2 . . . . multiply by x

  2(x^2 -1.9x +.95^2) = 2 +2(0.95^2)

  (x -0.95)^2 = 1.9025

  x = 0.95 ± √1.9025 ≈ {-0.4293, 2.3293}

4 0
3 years ago
What is the solution to the system of equations graphed below?
barxatty [35]

Answer:

(4,2)

Step-by-step explanation:

Solving the system of equations means to find the dot where both the lines intersect. We know by the graph that the point where the both intersect is (4,2).

Please mark me as brainliest and I hope you do well on your assignment!

7 0
2 years ago
In a grade seven class, 18 students have pets, and 12 do not. What percent of the class has a pet?
Svetradugi [14.3K]
Answer :
If 18+12 is 30 and only 18 of them has pets then 70 percent have pets
7 0
3 years ago
Read 2 more answers
Which expression is equivalent to -18a^-2b^5/-12a^-4b^-6
crimeas [40]

Answer:

  c.  3a^2b^11/2

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

__

 \dfrac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\dfrac{-18}{-12}a^{-2-(-4)}b^{5-(-6)}=\boxed{\dfrac{3a^2b^{11}}{2}}

3 0
2 years ago
Ice cream shop is open within the month of june,july and august The shop served 100 fewer customers than they did in july They s
Julli [10]

The number of customers served in the ice cream shop in June, July and August are 125, 25 and 250 customers respectively

<h3>How to write and solve equation?</h3>

let

  • June = x
  • July = x - 100
  • August = 2x
  • Total customers = 400

Total = June + July + August

400 = x + (x- 100) + 2x

400 = x + x - 100 + 2x

400 = 4x - 100

400 + 100 = 4x

500 = 4x

x = 500/4

x = 125

So,

June = x

= 125 customers

July = x - 100

125 - 100

= 25 customers

August = 2x

= 2(125)

= 250 customers

Learn more about equation:

brainly.com/question/2972832

#SPJ1

5 0
2 years ago
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