The cost of tickets to the amusement park is $19.50 for 1 ticket and $78 for 4 tickets

Which table shows a proportional relationship between x and y?

Semenov [28]

Answer:

B

Step-by-step explanation:

A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.

Table A

$\frac{12}{3} \neq \frac{15}{6} \neq \frac{18}{8} \neq \frac{20}{10}$

These fractions are not equal. This is not proportional.

Table B

$\frac{0.5}{1}=\frac{1}{2} =\frac{3.5}{7} =\frac{4}{8}$

These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.

Table C

$\frac{1}{3}\neq \frac{2.5}{7.5} \neq \frac{4}{15} \neq \frac{6}{20}$

These fractions are not equal. This is not proportional.

Table D

$\frac{7}{2} \neq \frac{9}{3}\neq \frac{11}{4} \neq \frac{13}{5}$

These fractions are not equal. This is not proportional.

3 0

3 years ago

Provide three different examples of how minerals can form on earth .

Fantom [35]

Evaporation, Solid-State Diffusion, and lastly, When Hot Water cools.

4 0

2 years ago

Read 2 more answers

X+5 divided by 3=15 what is the answer?

GREYUIT [131]

All you have to do is solve for x. See the following steps below.

Step 1. Subtract $\frac{5}{3}$ from both sides

$X= 15-\frac{5}{3}$

Step 2. Simplify $15- \frac{3}{5}$ to $\frac{40}{3}$

$X= \frac{40}{3}$

4 0

3 years ago

Read 2 more answers

I will Mark you as brainliest if you explain

Minchanka [31]

Answer:

x=0 or x=−4

Step-by-step explanation:

Let's solve your equation step-by-step.

(x+2)2=4

Step 1: Simplify both sides of the equation.

x2+4x+4=4

Step 2: Subtract 4 from both sides.

x2+4x+4−4=4−4

x2+4x=0

Step 3: Factor left side of equation.

x(x+4)=0

Step 4: Set factors equal to 0.

x=0 or x+4=0

x=0 or x=−4

8 0

3 years ago

Let f = (ax + by + 4z) i + (x + cz) j + (9y + mx) k where a, b,c, and m are constants.

Tom [10]

Let $\mathcal R$ be an arbitrary closed region with boundary the surface $\mathcal S$ . By the divergence theorem,

$\displaysytle\iint_{\mathcal S}\mathbf f(x,y,z)\cdot\mathrm d\mathbf S=\iiint_{\mathcal R}\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV$

We have

$\nabla\cdot\mathbf f(x,y,z)=\dfrac{\partial(ax+by+4z)}{\partial x}+\dfrac{\partial(x+cz)}{\partial y}+\dfrac{\partial(9y+mx)}{\partial z}=a$

so that the flux satisfies

$\displaystyle a\iiint_{\mathcal R}\mathrm dV=0$

We're assuming $\mathcal R$ is a closed region, and the integral above is its volume, which must be positive. This means we must have $a=0$ .

7 0

3 years ago