12% of what number is 180? A. 15 B. 150 C. 1500 D. 21.6

Anettt [7]

Answer:

a) not proportional

b) proportional; k = $-\frac{3}{5}$

Step-by-step explanation:

a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).

Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.

Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.

b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.

y = -(3/5)x fits with y = kx, with k being -3/5

3 0

2 years ago

Find the difference of 259.63 and 154.21

Ne4ueva [31]

Answer:

105.42

Step-by-step explanation:

259.63

154.21

105.42

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=2x-y%3D4%5C%5Cy-x%3D4" id="TexFormula1" title="2x-y=4\\y-x=4" alt="2x-y=4\\y-x=4" align="absmi

Flura [38]

Here is the answer. Hope this helps!

5 0

2 years ago

1/4(x-2) = 10 NEED DONE ASAP

kari74 [83]

Answer:

x = 42

Step-by-step explanation:

Step 1 :

1

Simplify —

4

Equation at the end of step 1 :

1

(— • (x - 2)) - 10 = 0

4

Step 2 :

Equation at the end of step 2 :

(x - 2)

——————— - 10 = 0

4

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

10 10 • 4

10 = —— = ——————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x-2) - (10 • 4) x - 42

———————————————— = ——————

4 4

Equation at the end of step 3 :

x - 42

—————— = 0

4

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, multiplys both sides of the equation by the denominator.

Here's how:

x-42

———— • 4 = 0 • 4

4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-42 = 0

Solving a Single Variable Equation :

4.2 Solve : x-42 = 0

Add 42 to both sides of the equation :

x = 42

One solution was found :

x = 42

Processing ends successfully

plz mark me as brainliest :)

3 0

3 years ago

Online sales result in 35% of sales being returned to their local brick-and-mortar store. what is 35% of 2,000 purchases?

Reika [66]

Answer:

b

Step-by-step explanation:

b

5 0

3 years ago

Read 2 more answers