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astraxan [27]
2 years ago
6

6x-4y=14 2x+8y=21 Solve by elimination

Mathematics
1 answer:
Viktor [21]2 years ago
8 0
I wrote some notes please read and if you not sure contact me

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Jarvis works in a garage £6 an hour. If he works on Saturday, he is paid time and a quarter. If he works on Sunday, he is paid t
ruslelena [56]

Answer: He is paid $90 last weekend.

Step-by-step explanation:

Since we have given that

Amount he earns per hour = $6

If he works on Saturday, he is paid time and a quarter .

Amount would be

6\times 1.25=\$7.5

If he works on Sunday, he is paid time and a half.

Amount would be

6\times 1.5=\$9

Number of hours he worked on Saturday = 6 hours

Number of hours he worked on Sunday = 5 hours

So, Total amount he is paid last weekend altogether is given by

6\times 7.5+5\times 9\\\\=\$90

Hence, he is paid $90 last weekend.

4 0
2 years ago
Design an ER diagram for keeping track of information about votes taken in the U.S. House of Representatives during the current
inn [45]

Answer:

You have worked cut out for you but have a good day :)!!!!!!!!

Step-by-step explanation:


7 0
2 years ago
Which graph represents the piecewise-defined function?
chubhunter [2.5K]

Answer: The correct option is 1.

Explanation:

The given piecewise function is,

y=\begin{cases}-\frac{4}{5}x-3 & \text{ if } x

It means if x<0, then

f(x)=-\frac{4}{5}x-3

If x\geq2, then

f(x)=3x-10

Since the f(x) is defined for x<0 and x\geq2, therefore the function f(x) is not defined for 0\leq x.

From the graph 2, 3 and 4 we can easily noticed that for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.

Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for 0\leq x, hence the first option is correct.

6 0
2 years ago
At a particular restaurant, each mini hotdog has 80 calories and each pizza roll has 50 calories. A combination meal with mini h
cestrela7 [59]

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Step-by-step explanation:

Given,

Calories in each hotdog = 80 calories

Calories in each mini pizza = 50 calories

Combined meal = 20

Combined calories = 1450 calories

Let,

x represent the number of hot dogs.

y represent the number of mini pizzas.

According to given statement;

x+y=20     Eqn 1

80x+50y=1450    Eqn 2

Multiplying Eqn 1 by 80

80(x+y=20)\\80x+80y=1600\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(80x+80y)-(80x+50y)=1600-1450\\80x+80y-80x-50y=150\\30y=150

Dividing both sides by 30

\frac{30y}{30}=\frac{150}{30}\\y=5

Putting y=5 in Eqn 1

x+5=20\\x=20-5\\x=15

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10546617
  • brainly.com/question/10552347

#LearnwithBrainly

7 0
2 years ago
What are the differences among an experiment, a study, and a survey? Complete the explanation of the differences by selecting th
artcher [175]

Answer:

The full question is

<em>What are the differences among an experiment, a study, and a survey? </em>

<em> </em>

<em>1. In an observational study, randomization of subjects ______ </em>

<em>A. occurs </em>

<em>B. does not occur </em>

We understand randomization as a random process of assigning experimental subjects to treatment groups. Through this process, we have more control about variables which are not related to the experiment.

In an observational study, the researcher doesn't change anything, he or she studies the events as they are, without using any randomization process.

Therefore, the right answer here is B.<em> </em>

<em />

<em>2. A survey _______ </em>

<em>A. poses no interference on subjects </em>

<em>B. makes inferences about a population </em>

<em> </em>A survey poses no interference on subjects, actually if it does, then that survey is not reliable. An important charactersitic of a survey is that it must be objective, that way it will be reliable enough to use it in the research.

Therefore, the right answer is A.

<em />

<em>3. In an experiment, ___________ to discern differences in a response variable. </em>

<em>A. treatment is imposed </em>

<em>B. inferences are made </em>

<em>C. randomization does not occur</em>

Experiments are characterized by having certain "stimulus" at least in one group of subjects, that way researches compare data sets to prove their hypothesis.

Therefore, the right answer here is A.

<em />

8 0
2 years ago
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