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4 years ago

Solve the system using elimination and describe your steps. Be sure to verify your solution. • x = y - 3 2x + y = 12

Mathematics

1 answer:

hram777 [196]4 years ago

6 0

So these are our two equations: $2x+y=12\\x=y-3$

Before we can use elimination, subtract y on both sides of the first equation: $2x=-y+12\\x=y-3$

Now we are able to use elimination. To eliminate the y variable, add the two equations together to get $3x=9$ . From here we can solve for x.

For this, just divide both sides by 3 and your first answer will be $x=3$

Now that we have the value of x, substitute it into either equation to solve for y:

$2*3+y=12\\6+y=12\\y=6\\\\3=y-3\\6=y$

In short, x = 3 and y = 6.

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VikaD [51]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

Read 2 more answers

The shaded portion of the bar model in Part A shows 38. What percent is equivalent to 38? Enter the correct answer in the box.

nordsb [41]

Question:

The shaded portion of the bar model in Part A shows 3/8. What percent is equivalent to 3/8? Enter the correct answer in the box.

Answer:

The equivalent is 37.5%

Step-by-step explanation:

Given

$\frac{3}{8}$

Required

The equivalent

The model is not shown, but the question can still be solved.

We have:

$\frac{3}{8}$

Multiply by 100%

$\frac{3}{8} = \frac{3}{8} * 100\%$

$\frac{3}{8} = 0.375 * 100\%$

$\frac{3}{8} = 37.5\%$

8 0

3 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPPPP !!

Pepsi [2]

Alright so your budget is 154 so that already means you cant spend more than
$154. So the uniform is $12 so the inequality could start as:
154 is less than or equal to 12 plus the number of karate classes, which would be;
154 ≤ 12 + 8c
so the answer is B
B. 154 ≤ 12 + 8c
If I helped please mark as brainliest thanks.

3 0

4 years ago

a factory produces toy dolls at a rate of 400 per hour and has to recycle 3% of them because the clothes are torn. express the r

AnnyKZ [126]

12
3/100 = 0.03
0.03x400 = 12
12 dolls are recycled per hour

4 0

3 years ago

A music industry researcher wants to estimate, with a 90% confidence level, the proportion of young urban people (ages 21 to 35

Maslowich

Answer:

1,539

Step-by-step explanation:

Using Simple Random Sampling in an infinite population (this is such a large population that we do not know the exact number) we have that the sample size should be the nearest integer to

$\large \frac{Z^2pq}{e^2}$

where

Z= the z-score corresponding to the confidence level, in this case 90%, so Z=1.645 (this means that the area under the Normal N(0,1) between [-1.645,1.645] is 90%=0.9)

p= the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year= 35% = 0.35

q = 1-p = 0.65

e = the error proportion = 2% = 0.02

Making the calculations

$\large \frac{Z^2pq}{e^2}=\frac{(1.645)^2*0.35*0.65}{(0.02)^2}=1,539.09$

So, the sample size should be 1,539 young urban people (ages 21 to 35 years)

6 0

3 years ago