Variable c is 5 more than variablea. Variable c is also 3 less than variable
a. Which pair of equations best models the relationship between c and a?

c = a − 5
c = a + 3

a = c + 5
a = 3c − 3

a = c − 5
a = 3c + 3

c = a + 5
c = a − 3

Answers

Answer 1

Answer:

The pair of equations best models the relationship between c and a is option D : c = a + 5, c = a - 3

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given conditions are;

c is 5 more than variable a.

( c = a + 5)

c is also three less than variable a.

(c = a - 3)

Now, lets look at the answer choices,

c = a − 5

c = a + 3

Here, c is 5 less than "a". so it will be automatically disqualified.

a = c + 5

a = 3c − 3

So,

Simplified version :

c = a - 5

Here, c is 5 less than "a"..so it will be automatically disqualified.

a = c − 5

a = 3c + 3

Here also, we have to get "c" by itself in both top and bottom equation.

So,

Simplified version:

c = a + 5

Here, c is 5 more than "a"

c = (a - 3) / 3

thus, c is 3 less than "a" divided by 3 . So, this is not correct.

c = a + 5

c = a − 3

Here, c is 5 more than "A"

Also, c is 3 less than "a"

So, Which satisfies the given.

So, our answer is going to be the option D :

c = a + 5

c = a - 3

Learn more about equations here;

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Answer 2

Answer: First, let us restate the given conditions

c is 5 more than variable a ( c = a + 5)
c is also three less than variable a (c = a - 3)

Now, lets look at the answer choices and or given
c = a − 5
c = a + 3
Here, c is 5 less than "a"...so automatically disqualified

a = c + 5
a = 3c − 3
Here, we have to get "C" by itself in both top and bottom equation.
So,
Simplified version :
c = a - 5
Here, c is 5 less than "a"...so automatically disqualified

a = c − 5
a = 3c + 3
Here also, we have to get "C" by itself in both top and bottom equation.
So,
simplified version:
c = a + 5
Here, c is 5 more than "a"...so we continue
c = (a - 3) / 3
Here, c is 3 less than "a" divided by 3 . So, this is not correct

c = a + 5
c = a − 3
Here, c is 5 more than "A"
Also, c is 3 less than "a"
Which satisfies the given.

So, our answer is going to be the last one:

c = a + 5
c = a - 3

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What is the value of t in the equation 3(2t + 5) = 5t + 25? (4 points)5
6
10
35

Answers

Answer:

The solution of the equation is t=10

C is correct option

Step-by-step explanation:

Given: $3(2t+5)=5t+25$

We need to solve for t

$3(2t+5)=5t+25$ (Distributive property)

Distribute 3 over the bracket (2t+5)

$6t+15=5t+25$

Move variable term left side and constant right side

$6t-5t=25-15$

Combine like term

$t=10$

Hence, The solution of the equation is t=10

3 ( 2t + 5 ) = 5 t + 25

3 * 2 t + 3 * 5 = 5 t + 25

6 t + 15 = 5 t + 25

6t - 5t = 25 - 15

t = 10

Hope this helps!

Calculate the difference (home-away) in winning percentage. A) Need more information B) Positive C) Negative D) Zero

Answers

To calculate the difference in winning percentage (home - away), we do need more information. We would need the winning percentages for both home games and away games to determine whether the difference is positive, negative, or zero.

So, the correct answer is A) Need more information.

Twenty percent of 150 is

Answers

20% of 150 is 30

Change the percentage into a decimal by dividing it over 100:

20 / 100 = 0.2

Multiply:

0.2 × 150 = 30

Answer: 30

Step-by-step explanation:

There are 680 raisins in 8 bags. If each bag has the same number of raisins, how many raisins are in 12 bags? 900 raisins 935 raisins 1,020 raisins 1,056 raisins

Answers

Answer:

Raisins in 12 bags are:

1,020

Step-by-step explanation:

There are 680 raisins in 8 bags.

Each bag has the same number of raisins.

⇒ Raisins in each bag=680/8

= 85

So, Raisins in 12 bags=12×85

=1,020

Hence, Raisins in 12 bags are:

1,020

So you do 680/8=85 raisins in each bag
Then you times 85*12=1020 and that the answer

You've decided you want a plant for your room. At the gardening store, there are 4 different kinds of plants (tulip, fern, cactus, and ficus) and 4 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot). If you randomly pick the plant and the pot, what is the probability that you won't get a clay pot or a cactus?

Answers

There are 4×4 = 16 different combinations of plant and pot. Of those, 7 are either clay pot or cactus. Thus the probability you won't get a clay pot or a cactuis is 9/16.

Answer:

9/16

Step-by-step explanation:

Dr.Sox paid $1580 for a new computer system. She also paid a 6.5 sales tax. How much was the tax? What was the total cost?