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3 years ago

Find the missing variable for the following direct variation k= -2; (x, -8)

Mathematics

1 answer:

jonny [76]3 years ago

3 0

Answer:

Explanation:

y ¤ x...where ¤ represents the Greek alpha sign...

y = k • x

-8 = -2 • x

-8/-2 = x

4 = x

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One apple and three oranges cost $5.10 and another 5 oranges and one Apple cost $7.50 what is the price of one apple and one ora

alekssr [168]

Answer:

$2.7

Step-by-step explanation:

Let the price of one apple be x

and the price of one orange y

Hence ;

One apple and 3 oranges would cost:

x + 3×y = $5.10----------------------------(1)

One apple and 5 oranges would cost;

x + 5×y = $7.50--------------------------(2)

Subtracting eqn (1) from (2), we have :

x-x + 5y -3y = 7.5- 5.1

2y = 2.4

y = $1.2

From eqn(1)

x + 3y = $5.10

x= $5.10-3($1.2) = $5.10-$3.6 = $1.5

Hence x=$1.5 and y= $1.2

We are required to find the cost of one apple and one orange, hence :

x+y = $1.5+$1.2= $2.7

4 0

2 years ago

One-stray Problem Solving

anygoal [31]

A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
__
a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
__
c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.

3 0

1 year ago

Identify all the prime numbers within each range of numbers given below (inclusive): a. 4 to 11 and b.) 16 to 25

scZoUnD [109]

Answer:

A. 5, 7, 11; B: 17, 19, 23

Step-by-step explanation:

These are all the numbers that don't have common factors besides one and itself

5 star, thank, and brainliest if helpful!

8 0

3 years ago

Select the correct answer from each drop-down menu.

RSB [31]

Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim

The question is incomplete, as the required drop-down menus are missing. So, I will give a general explanation

To show that a statement is true, you need evidence.

Take for instance:

$\mathbf{if\ a^2 = 4,\ then\ a = 2}$

The evidence that the above proof is true is by taking the squares of both sides of $\mathbf{a = 2}$

$\mathbf{a^2 = 2^2}$

$\mathbf{a^2 = 4}$

However, a counterexample does not need a proof per se.

What a counterexample needs is just an instance or example, to show that:

$\mathbf{if\ a^2 = 4,\ then\ a \ne 2}$

An instance to prove that: $\mathbf{if\ a^2 = 4,\ then\ a = 2}$ is false is:

$\mathbf{a = -2}$

Hence, the complete statement could be:

In a direct proof, evidence is used to support a proof . On the other hand, a counterexample is a single example that shows that a proof is false.

Read more about evidence and counterexample at:

brainly.com/question/88496

5 0

2 years ago

Determine if there is a proportional relationship between the two quantities

Shalnov [3]

Answer:

The table a not represent a proportional relationship between the two quantities

The table b represent a proportional relationship between the two quantities

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Verify each table

Table a

Let

A ----> the independent variable or input value

B ----> the dependent variable or output value

the value of k will be

$k=\frac{B}{A}$

For A=35, B=92 ---> $k=\frac{92}{35}=2.63$

For A=23, B=80 ---> $k=\frac{80}{23}=3.48$

the values of k are different

therefore

There is no proportional relationship between the two quantities

Table b

Let

C ----> the independent variable or input value

D ----> the dependent variable or output value

the value of k will be

$k=\frac{D}{C}$

For C=20, D=8 ---> $k=\frac{8}{20}=0.40$

For C=12.5, D=5 ---> $k=\frac{5}{12.5}=0.40$

the values of k are equal

therefore

There is a proportional relationship between the two quantities

The linear equation is equal to

$D=0.40C$

7 0

2 years ago