Solve the system by substitution.
x = 4y - 8
3х — 6у = 12

Answer:

(a). 20 ; (b). $10.00 ;

Step-by-step explanation:

(a). 70 - 3x = 80 - 3.50x

- 3x + 3.50x = 80 - 70

0.5x = 10

x = 10 ÷ 0.5

x = 20 ( 30-day periods )

(b). $70.00 - $3.00(20) = $10.00

The number of days will be 20 days. Then the values of the gift cards will be equal and will be $10.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Tavon has a gift card for $80 that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30 days period it is not used.

Let y be the amount left of gift cards after x days and x be the number of days. Then the equation will be

y = 80 - 3.5x          ...1

y = 70 - 3x             ...2

From equations 1 and 2, we have

80 - 3.5x = 70 - 3x

0.5x = 10

x = 10 / 0.5

x = 20 days

The values of the gift cards will be equal and will be

y = 80 - 3.5(20)

y = 80 - 70

y = $10

The values of the gift cards will be equal and will be $10.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

4700

Step-by-step explanation:

4729 - 7 is in place of the hundreds, so cut off the rest and make sure, if needed, to round

Answer:

4700

Step-by-step explanation:

round the number up to the nearest hundred if the last two digits in the number are 50 or above.

round the number down to the nearest hundred if the last two digits in the number are 49 or below.

Answer:

First, 3x11 equals 33. Then 4x12 equals 48, so the area would be 4/12

Step-by-step explanation:

Answer:

[tex]x + y = 9 \\ x + 2x = 9 \\ 3x = 9 \\ x = \frac{9}{3} \\ x = 3[/tex]

Answer:

B is (-2,-4)

Step-by-step explanation:

Answer:

flour:

20

35

40

liquid:

12

21

24

Step-by-step explanation:

First blank is 12

second blank is 30

3rd blank is 40

Step-by-step explanation:

5 to 3 to get 12 you have to seee how many times you have to multiply 5 by to get 20 in this case it is 4. SO then you multiply 3 by 4 to 12 for liquid. Same steps to get the other answers.

Answer:

B or 2nd answer.

Answer:

2,7

Step-by-step explanation:

Answer:

45km

Step-by-step explanation:

Distance covered in 1min 20sec (80sec) = 1km

Distance covered in 1 min (60sec) = 1km/80sec

Distance covered in 1Hr (3600sec) = (1/80)*3600 = 45km.

Answer

False

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

u cannot cross multiply when ur adding

Answer:

y=1.5x+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given 3 side lengths of a triangle.

Let's test if this is right triangle by using Pythagorean theorem:

Yes, the triangle is right

Answer:

x=4

Step-by-step explanation:

14=3x+2

Move all terms that don't contain  x to the right side and solve.

Answer: 3 strawberries

Explanation: 15/5 = 3

3*4=12

15-12=3

Answer:

8

Step-by-step explanation:

========================================================

Explanation:

Let's convert the mixed number 5 & 1/3 to an improper fraction.

The formula to use is

a & b/c = (a*c + b)/c

So,

a & b/c = (a*c + b)/c

5 & 1/3 = (5*3 + 1)/3

5 & 1/3 = 16/3

Imagine you had 16 pieces of candy, and imagine you wanted to divide that up amongst 3 friends. Each friend would get 15/3 = 5 whole pieces. There would be 1 candy left over. The 5 and 1 help then form the 5 & 1/3. So this is one way to visualize how 5 & 1/3 is the same as 16/3.

Another way to see why this works is to note how 16/3 = 5.333 approximately. The '5' before the decimal point is the whole part of the mixed number 5 & 1/3; the decimal portion 0.333 is the approximate value of the fractional part 1/3.

------------------

The total length of fencing needed is 16/3 yards. Each section is 2/3 of a yard long. Since both denominators are "thirds", we can ignore them. An equivalent problem is this: "He needs 16 yards of fencing and each section is 2 yards long"

Based on the new problem without fractions involved, we can see that he'll need 16/2 = 8 sections in total.

You should find that dividing (16/3) over (2/3) will lead to 8 as well. You could say this:

(16/3) divide (2/3) = (16/3)*(3/2) = (16*3)/(3*2) = 48/6 = 8

-------------------

An alternative method:

Let's start with 2/3 of a yard. That doubles to 4/3 which is the same as 1 & 1/3. Think of it as 4/3 = (3+1)/3 = 3/3+1/3 = 1+1/3 = 1 & 1/3.

Next, we'll double 1 & 1/3 to land on 2 & 2/3. You simply multiply each '1' by 2 to end up with those '2's shown.

Now we'll double 2 & 2/3 like so:

2*(2 & 2/3) = 2*(2 + 2/3) = 4 + 4/3 = 4 + (1+1/3) = 5 + 1/3 = 5 & 1/3

The act of doubling exactly three times leads to us ultimately multiplying by 2*2*2 = 8, so he needs 8 sections that are each 2/3 of a yard long.

-------------------

Whichever method you prefer, the final answer is 8 sections.

Answer:

the answer is 110 just add the different number together in this case... 30 + 80 = 110

Step-by-step explanation:

Answer:

The answer  is 110 just add the different number together in this case... 30 + 80 = 110 it so easy

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

D

Answer:

The answer should be D) y = 5/3x - 1/3

Step-by-step explanation: The slope is positive ruling out the negative slope answers leaving C and D, however D is the only answer to get the y intercept correct.

Answer:

7

Step-by-step explanation:

Answer:

I think it is the second one i am so so so sorry if it wrong

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ {7}^{4} }{7} = {7}^{4 - 1} = {7}^{3} [/tex]

Answer: 52.8 kilometers

Step-by-step explanation:

This week she plans to run 2²/₅ times as much as last week.

If she ran 22 kilometers last week, then multiple 22 by 2²/₅ to find out the number of kilometers to run this week.

First convert the improper fraction to a proper one:

2²/₅ = 12/5

= 12/5 * 22

= 264/5

= 52.8 kilometers

Answer:

-72=r

Step-by-step explanation:

Answers:

a. -4/3 or -1 1/3

b. 4/3 or 1 1/3

c. -3

d. 3

Step-by-step explanation:

hope this helps!

Answer: 4cm

Step-by-step explanation:

The area of a parallelogram is calculated by multiplying the height by the length:

Area = Height * length

Assume the length is x, substituting values would make the formula:

16 = 4 * x

4x = 16

x = 16/4

x = 4 cm

Answer:

22

Step-by-step explanation:

First I add all of the numbers given and I get 40. Now 40 - 18= 22.

Answer:

22%

Step-by-step explanation:

Given:

The equation is:

[tex]y=2x-3[/tex]

The x-values in the given table are -1, 1, 3.

To find:

The y-values for the given x-values in the table.

Solution:

We have,

[tex]y=2x-3[/tex]

At x=-1,

[tex]y=2(-1)-3[/tex]

[tex]y=-2-3[/tex]

[tex]y=-5[/tex]

At x=1,

[tex]y=2(1)-3[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

At x=3,

[tex]y=2(3)-3[/tex]

[tex]y6-3[/tex]

[tex]y=3[/tex]

Therefore the required table is:

x          y

-1        -5

1         -1

3         3