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3 years ago

Solve the system of equations by subtraction. What is the solution for x? 2x+y=1 4z+2y=-1

1 answer:

8 0

$\left\{\begin{array}{ccc}2x+y=1&|\text{subtract 2x from both sides}\\4x+2y=-1\end{array}\right\\\\\left\{\begin{array}{ccc}y=-2x+1&(*)\\4x+2y=-1&(**)\end{array}\right\\\\\text{substitute}\ (*)\ \text{to}\ (**):\\\\4x+2(-2x+1)=-1\qquad\text{use distributive property}\\\\4x+(2)(-2x)+(2)(1)=-1\\\\4x-4x+2=-1\\\\2=-1\qquad\text{FALSE}\\\\Answer:\ \boxed{NO\ SOLUTION}$

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4 1/2 + 1 + 2 + 1 1/2 + 4 + 1/2

mafiozo [28]

Your answer would be 17 1/2

7 0

3 years ago

In how many ways can 6 competitors finish a race assuming there are no ties?In how many ways can we sit n people on r < n cha

VLD [36.1K]

Answer: a) 720, b) $^nC_r=\dfrac{n!}{(n-r)!r!}$ c) 336, d) 30240 e) 120.

Step-by-step explanation:

Since we have given that

a) Number of competitors = 6

We need to find the number of ways that 6 competitors can finish a race and there are no ties.

So, Number of ways would be

$6!=720$

b) number of people = n

Number of chairs = r (r<n)

so, the number of ways we can sit n people on r<n chairs is given by

$^nC_r=\dfrac{n!}{(n-r)!r!}$

c) If there are three awards :

Gold, silver, bronze.

We need to find the number of ways that these medals can be awarded.

Number of ways is given by

$^8P_3\\\\=336$

d) Number of 5-digit zip codes are possible is given by

$^{10}P_5=30240$

e) Number of poeple = 10

Number of people required in committee = 3

Number of different 3 person committee that are selected from 10 people is given by

$^{10}C_3=120$

Hence, a) 720, b) $^nC_r=\dfrac{n!}{(n-r)!r!}$ c) 336, d) 30240 e) 120.

6 0

3 years ago

Melissa owns a catering company . For lunch and dinner parties , she serves appetizers before each meal. The number of appetizer

german

Answer:

Step-by-step explanation:

Lunch = 3 appetizers per guest

If there are 22 guests: 22 × 3 = 66 appetizers served

Dinner = 5 appetizers per guest

If there are 22 guests: 22 × 5 = 110 appetizers served

Difference = total dinner appetizers - total lunch appetizers

= 110 - 66

= 44

7 0

2 years ago

You have a small business making and delivering box lunches. You calculate your average weekly cost y of producing x lunches usi

kogti [31]

250 lunches are produced by the small business in last week.

<u>Step-by-step explanation:</u>

It is given that,

y ⇒ the average cost per week.
x ⇒ the number of lunches produced per week.

The function relating these two factors x and y is given as y = 2.1x + 75

The cost of the last week is y = $600.
The lunches made last week is x = unknown.

<u>To find the value of x :</u>

Substitute y= 600 in the given function,

⇒ 600 = 2.1x + 75

⇒ 2.1x = 600 - 75

⇒ x = 525 / 2.1

⇒ x = 250

Therefore, the lunches prepared last week is 250.

6 0

3 years ago

PLS HURRY I WILL GIVE BRAINLIEST Which statement describes the locations of the two numbers in the inequality fraction negative

mariarad [96]

Answer:

fraction negative 4 over 5 is to the left of −0.4 and to the left of 0

Step-by-step explanation:

-4/5

-0.4 = -4/10 = -2/5

4 0

2 years ago