State whether each system is consistent and independent, consistent and
dependent or inconsistent
y = 0.5x
2y = x + 4
consistent and independent
consistent and dependent
inconsistent
none of the above
Help?

Answers

Answer 1

Answer:

Step-by-step explanation:

C

Answer 2

The lines are have one solution and are consistent and Independent.

What is Consistent and Inconsistent?

Gaining values for x and y allows us to determine whether the pair of linear equations is consistent or inconsistent. The system is consistent if x and y both have the same value. When there are no x and y values that fulfil both equations, the system becomes inconsistent.

Given:

y = 0.5x

2y = x + 4

Now solving the Above Equation

2(0.5x) = x+ 4

x = x+ 4

0 = 4

and, [tex]a_1= 0.5, b_1= -1, c_1= 0\\a_2= 1, b_2 = -2, c_ 2 = 4[/tex]

Now, [tex]a_1/ a_2 = b_1/ b_2\neq c_1/ c_2[/tex]

Then, the lines are have one solution and are consistent and Independent.

Learn more about Consistent and Inconsistent here:

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Related Questions

An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of the congruent angles. An equation is = 180.
Angles congruent with each measure.

Answers

Answer:

26 degrees

Step-by-step explanation:

180-138=52

52/2=26
























Simplify.

4−16÷4+42




















Item 5
Simplify.

4−16÷4+42

Answers

Answer:

42

Step-by-step explanation:

16 dividied by 4 is 4

4 minus 4 is 0

and 0 plus 42 is 42

Answer:

45

Step-by-step explanation:

4-16÷4+42

12÷4+42

3+42

45

What triangle is a 8cm triangle

Answers

Answer:

equilateral triangle.

Find the quotient.
2.38÷5

Answers

Answer:

2.38÷5=0.476

hope this helps! best of luck <3

A negative number multiplied by a negative number will result in a ___ product.

Answers

Answer:

Positive product

Step-by-step explanation:

I need help with math can someone please help me

Answers

Answer:

133.1

Step-by-step explanation:

a man whose income is rupees 576 a year spends rupees 432 a year what percentage of his income does he save​

Answers

Answer:

He save 25% of his income.

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

lets take 576 as 100% so 576=100432=xfollowing unitary methodx=43200/576x=75%now saving %= 100%-75%= 25%

Answer:

25%

Step-by-step explanation:

576-432=144

576=100%

144=?

144×100÷576=25%

What is 28 rounded to the nearest 10

Answers

Question:

What is 28 rounded to the nearest 10?

Answer:

28 rounded to the nearest 10 is 30.

28 rounded to the nearest 10 is 30

How many 3/4-cup servings are in 1/2 of a cup of milk?

Answers

Answer:

4!! hope this helps <3

A ballroom is 60 ft long and 30 ft wide. Which of the following formulas is the correct formulas to determine the perimeter of the ballroom. a. P=2+60+2+30 b. P=60x30 c. P= 30x 30 + 60 x60 d. P= 2 x 60 + 2x 30

Answers

Answer:

The answer is D: 2 x 60 + 2 x 30

Step-by-step explanation:

The perimeter is the lengths of all the sides of a shape combined.  Therefore, 60 is one side and 30 is the other side.  Since the opposite sides are equal, there are two sides that equal 60 and two sides that equal 30.  

So, 60 + 60 + 30 + 30.  

60 + 60 = 60 x 2

30 + 30 = 30 x 2

Therefore, the answer is 60 x 2 + 30 x 2.  

At a dance supply store dance pants cost $30 each and leotards cost $18 each you have $175 to spend you are going to buy 3 pairs of pants what is the greatest number of leotards you can buy

Answers

answer

4 pairs

Step-by-step explanation:

total is $175

when you buy three pairs of pants you have wasted $90

175-90 equals 85

Can someone help me with this question please?

Answers

Here you go, hope this helps. If you need help with anything else feel free to reply to this comment

I NEED HELP ASAP PLEASE

Answers

Answer: d s 5\ answer

Step-by-step explanation:

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, critical value(s), and state the final conclusion that addresses the original claim. A simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar content of each cigarette is measure. The sample has a mean of 19.4 mg and a standard deviation of 3.52 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest about the effectiveness of the filters? What are the hypotheses? Identify the test statistic. Identify the P-value Identify the critical value(s). State the final conclusion that addresses the original claim. A. Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. B. Reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. C. Fail to reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. D. Reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. What do the results suggest, if anything, about the effectiveness of the filters? A. The results are inconclusive because the sample size is less than 30. B. The results suggest that the filtered cigarettes have the same tar content as unfiltered king size cigarettes. C. The results do not suggest that the filters are effective. D. The results suggest that the filters are effective. E. The results suggest that the filters increase the tar content.

Answers

Answer:

1) Option A: Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.  

2)Option D: The results suggest that the filters are effective

Step-by-step explanation:

We are given;

Sample size; n = 25

Sample mean; x' = 19.4 mg

Standard deviation; s = 3.52 mg

Population mean; μ = 21.1 mg

Let's state the hypotheses;

Null Hypothesis;H0: μ = 21.1 mg

Alternative Hypothesis; Ha; μ < 21.1 mg

Now, since sample size is less than 30,we will use a t-test.

Thus;

t = (x' – μ)/[s/√(n)]

t = (19.4 - 21.1)/(3.52/√25)

t = -2.415

Using an online p-value from t-score calculator as attached with the parameters t = -2.415, DF = 25 - 1 = 24, significance level = 0.05, one tailed, we have;

The p-value is 0.011885.

The calculated p-value is less than the significance level of 0.05. Thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.

Solve using properties 93+(68+7)

Answers

it’s 163, first you have to solve for inside the parentheses which is 75 then 75 plus 93 is 163

Jennifer is 3 years older than twice Zack’s age. The sum of their ages is 21. What are their ages?

Answers

Answer:

Jennifer is 15 and Zack is 6

Step-by-step explanation:

z+ (2z+3)=21

z+2z+3-3=21-3

z+2z=18

3z=18

3z/3=18/3

z=6

so plug 6 in for all the variables and their ages are

Zack-6

Jennifer-15

Does the following number belong to the interval (1.5, 2.4) ?

Square root of 2

Square root of 3

Square root of 5

Square root of 6

Yes or no

Answers

Answer:

Square root of 2: No

Square root of 3: Yes

Square root of 5: Yes

Square root of 6: No

Step-by-step explanation: Verified by RSM

Houston, Texas get an annual rainfall of 5.2 times more than El Paso, Texas. Houston has an average rainfall of 46 inches, about how much rain does El Paso get?

Answers

Answer:

8.85 inches

Step-by-step explanation:

Divide Houston's average by 5.2 to find El Paso's:

46/5.2

= 8.85 inches

So, El Paso gets about 8.85 inches of rain

Answer:

8.846

Step-by-step explanation:

Tyler is paid time and a lovertime after 40 hours worked in a week. His hourly rate is $13/h. What is his
gross pay if he worked 48.5 hours last week?

Answers

Answer:

$630.50

Step-by-step explanation:

5x + y = 12

Solve for y plz

Answers

Answer:

i think 7

Step-by-step explanation:

Answer:

its 7

Step-by-step explanation:

cuz in this you have to move the 5 from the 12 can i have brainleyist

What is 1+1 this is for those who need to answer questions to ask a question

Answers

Answer:

2

Step-by-step explanation:

1+1=2

(thank you dude!)

Answer:

2, and thank youuu:)

Step-by-step explanation:

(5^3)(5^2)(5^4)(5^7)
Answer choices
625^16
5^168
625^168
5^16

Answers

Answer: 5^16

Multiply the terms with the same base by adding their exponents
5^3+2+4+7

Calculate the sum of the positive numbers
and you get 5^16

Hope this helps ʕ•ᴥ•ʔ

I need Help what’s is value of X

Answers

Answer:

56

Step-by-step explanation:

Answer:

The answer to your question is 56.

Which best describes the dimensions of a plane?
A plane has zero dimensions because it represents a location on the coordinate plane.
A plane has one dimension because it is made up of an infinite number of points.
A plane has two dimensions because it is a flat surface that has length and width but no depth.
A plane has three dimensions because it is made up of exactly three noncollinear points.

Answers

Answer: C) 2 dimensions; flat surface of length and width, but no depth

One way to think of a plane is to think of a flat sheet of paper that extends infinitely in all directions. The paper must be kept flat without any bends.

The statement that describes the dimensions of a plane is (c) a plane has two dimensions because it is a flat surface that has length and width but no depth.

To understand what a plane is, take a look at a flat surface such that:

PaperTop of a tableA white or black boardEtc.

Notice that the above surfaces have just two dimensions (horizontal and vertical).

This is so because they are flat surfaces, and they have no heights

Hence, the statement that describes the dimensions of a plane is (c)

Read more about planes at:

https://brainly.com/question/13459927

Find the value of n so that the line perpendicular to y = (-1/4)x-1 passes through the points (n, 3) and (4,11).

Answers

Answer:

2

Step-by-step explanation:

You'll need to find the reciprocal of m. -1/4 is your is your m and when you find the reciprocal you flip the number to 4/1 or 4 and change the negative to a positive. Then graph (4,11), you don't need to worry about your y intercept, b, or -1. On your graph go down 4 and over one to the left because it's positive the line should be going like " / "  <-- that. Keep going down until your y is three and whatever your x is, is your answer. Ex: (4,11) (3,7) (2,3). Hopefully, you understand :)

What is 33/8 in a mixed number

Answers

Answer: 4 1/8

Step-by-step explanation: To change an improper fraction to a mixed number, you need to first divide the numerator by the denominator as the fraction sign is essentially just a division sign. In this case, you do 33 divided by 8, which would get you 4 with a remainder of 1. 33/8 is just equal to 4 and 1/8.

33/8 is equal to 4 [tex]\frac{1}{8}[/tex] in terms of mixed fraction.

What are Fractions?

Fractions are numbers of the form [tex]\frac{p}{q}[/tex] where both p and q are real numbers. It can also be defined as a portion of a whole.

p is called the numerator and q is called the denominator.

There are different types of factors such as unit fractions, like fractions, unlike fractions, improper fractions, proper fractions, mixed fractions and so on.

Mixed fractions are fractions of the form q [tex]\frac{r}{d}[/tex] where q is the quotient, r is the remainder and d is the divisor upon dividing the numerator with the denominator of an improper fraction.

33/8 can be expressed in the mixed form by dividing 33 with 8.

We get quotient is 4 and remainder is 1.

So 33/8 = 4 [tex]\frac{1}{8}[/tex]

Hence 33/8 can be written as 4 [tex]\frac{1}{8}[/tex] in terms of mixed fraction.

To learn more on Fractions, click on the link given below:

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Gerry had a coupon for $0.25 off a
frozen pizza. The grocery store
has a special triple coupon deal
and allows customers to use a
single coupon on up to five
items. By how much would his
total grocery bill change if Gerry used the coupon to buy five frozen
pizzas?

Answers

Multiply.

0.25 * 5 = $1.25 in savings

So whatever the original price was for each frozen pizza, you multiply that by 5 and subtract that by the total savings.

Best of Luck!

Answer:

1.25

Step-by-step explanation:

0.25*5

Please help!! I’ve tried to answer this but I’m off a few cents every time.

Megan’s aunt have her a $100 gift card to Toys R Us for her birthday. Determine the price of the most expensive toy that Megan can buy with this gift card if the sales tax is currently 9.8%

Answers

Answer:

$91.07

Step-by-step explanation:

You cannot take off 9.8% from $100 to find the answer, since 9.8% of $100 is more tax than she will pay. The toy has to cost less than $100, so that when you add 9.8% tax the price you end up with exactly $100, and 9.8% of under $100 is less that 9.8% of $100. Maybe this is why you are a few cents off.

This is how you do it.

The price of the toy is unknown, so we'll cal it x.

When you add 9.8% tax to x, you want to end up with exactly $100.

x + 9.8% of x = 100

Write 9.8% as a decimal by dividing the percent by 100.

9.8% = 9.8/100 = 0.098

Now we have:

x + 0.098x = 100

Add like terms on the left side:

1.098x = 100

Divide both sides by 1.098:

x = 100/1.098

x = 91.07

Answer: The most expensive toy she can get costs $91.07 before tax.

Check:

We now add 9.8% tax to $91.07 and make sure the total cost including tax  is no more than $100.

$91.07 + 9.8% of $91.07 =

= $91.07 + 0.098 * $91.07

= $91.07 + $8.92

= $99.99

It seems that you could try to spend one more cent, to really get to the $100 limit, so let's try $91.08 as the most expensive toy she can buy.

We now add 9.8% tax to $91.08 and see what the total cost including tax is.

$91.08 + 9.8% of $91.08 =

= $91.08 + 0.098 * $91.08

= $91.08 + $8.93

= $100.01

You see that if Megan gets a $91.08 toy, with tax, the total cost is $100.01, which is over the $100 limit, so the answer is indeed $91.07.

Solve. −3\5x=18
A. −30
B. −10 4\5
C. 10 4\5
D. 30

Answers

your answer is x=-30

is negative 73 a natural number

Answers

No.

Negative numbers are not natural numbers.

Natural numbers are positive whole numbers.

1, 2, 3.... and so on.

Step-by-step explanation:

Hey there!!

(-73) is not a natural number.

The reason is natural number always starts from 1 and ends at infinity. But as the given number is -73 it is below 1. So, it's not a natural number.

Hope it helps...

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