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3 years ago

the vet charges $45 for an office visit and $10 for each vaccination your dog needs. write an eaquation

Mathematics

1 answer:

ser-zykov [4K]3 years ago

6 0

Answer:

45+10x = y

Step-by-step explanation:

$45 -- stays the same no matter what so that's constant.

$10 -- this varies dependent on the number of vaccinations your dog needs, so you'd use a variable to represent the number of vaccinations (in this case I'm using variable "x").

So, for example if your dog needed 7 vaccinations, it would be: 45+10(7) = y -- answer being $115.

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5[×-2] what is the distributive property

iogann1982 [59]

Answer:

5x - 10

Step-by-step explanation:

7 0

2 years ago

When p = 12, t = 2, and s = One-sixth, r = 18. If r varies directly with p and inversely with the product of s and t, what is th

bagirrra123 [75]

Answer:

$k = \frac{1}{2}$

Step-by-step explanation:

Given

$p = 12$

$t = 2$

$s = \frac{1}{6}$

$r = 18$

$r\ \alpha\ p\ * \frac{1}{s * t}$

Required

Find the constant of variation

From the question, the variation is as follows

$r\ \alpha\ p\ * \frac{1}{s * t}$

$r\ \alpha\ \frac{p * 1}{s * t}$

$r\ \alpha\ \frac{p}{s * t}$

Convert variation to equation

$r\ = k\frac{p}{s * t}$

Where k represents the constant of variation

Make k the subject of formula;

Multiply both sides by s * t

$r * s * t = k\frac{p}{s * t} * s * t$

$r * s * t = kp$

Divide both sides by p

$\frac{r * s * t}{p} = \frac{kp}{p}$

$\frac{r * s * t}{p} = k$

$k = \frac{r * s * t}{p}$

Substitute the values of p, r, s and t in the above equation

$k = \frac{18 * \frac{1}{6} * 2}{12}$

$k = \frac{6}{12}$

Divide numerator and denominator by 6

$k = \frac{1}{2}$

Hence, the constant of variation is; $k = \frac{1}{2}$

4 0

3 years ago

Miguel is drawing right triangle ABC in a coordinate plane. Where could point C be located to complete the right triangle? A) (3

Pani-rosa [81]

Answer:

its A

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

a company was able to increase its staff from 126 employees to 190 employees what was the percentage increase in staff? Rounds t

azamat

Answer:

50.7%

Step-by-step explanation:

First you have to find the difference. (190-126=64) Then to find the percentage you have to divide A by B (64/126 which is about .507) Move the decimal I’ve twice (50.7) and there’s your answer!

7 0

2 years ago

Helene invested a total of $1000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 7% an

olchik [2.2K]

x + y = 1000, (1)
0.05x + 0.06y = 58. (2)

From (1), express y = 1000-x and then substitute it into (2)

0.05x + 0.06*(1000-x) = 58

0.05x + 60 - 0.06x = 58

-0.01x = 58 - 60 = -2 ====> x = %28-2%29%2F%28-0.01%29 = 200%2F1 = 200.

Answer. $200 was invested at 5%. The rest $1000 - $200 = $800 was invested at 6%.

Check. 200*0.05 + 800*0.06 = 58. ! Correct !

Solved. // I used the Substitution method to solve the system of 2 equations in 2 unknowns.

7 0

2 years ago