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vladimir1956 [14]
3 years ago
7

PLEASE HELP ASAP!!!

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer:

Option C. Yes; y=2x

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

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

so

In this problem

For x=0, y=0

That means ----> the line passes through the origin

<em>Find the value of k</em>

For x=2, y=4

k=\frac{y}{x} ----> k=\frac{4}{2}=2

For x=4, y=8

k=\frac{y}{x} ----> k=\frac{8}{4}=2

The values of k are equal

therefore

The table represent a direct variation

The equation is equal to

y=2x

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B. Solve for the product of the following fractions. Express your answer in simples form.
sladkih [1.3K]

Answer:

  1. 5/9
  2. 1/5
  3. 1/7
  4. 5/54
  5. 1/4
  6. Hope it helps you
5 0
3 years ago
Rewrite 3/35 and 1/10 so they have common denominators
Aleks [24]

Answer:

\frac{6}{70} and \frac{7}{70}

Step-by-step explanation:

The LCM of 35 and 10 is 70.

35×2=70

10×7=70

You got to multiply 3 with 2 and 1 with 7 to make 6/70 and 7/70.

5 0
3 years ago
In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
Use the diagram below to answer the questions. Line q contains points J, K, and M. Point P is above line q between points K and
Flauer [41]

Answer:

2nd 3rd and last option

Step-by-step explanation:

2.

3.

6.

5 0
3 years ago
Read 2 more answers
Jo is 5cm taller than Kathy.Let j=jo height.Then? =kathys height.​
xxMikexx [17]

Answer:

Kathy = J - 5 cm

Step-by-step explanation:

Jo = 5 + Kathy

Jo = J

Kathy = K

=> J = 5 + K

=> J - 5 = 5 - 5 + K

=> J - 5 = K

=> K = J - 5

So, Kathy's height is J - 5 cm

8 0
3 years ago
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