{16x+y = 4.25
16.90x + 4y = 36.35
1. What does the solution to the system represent?

Answers

Answer 1
Answer:

Answer:

See below.

Step-by-step explanation:

It represents the coordinates of the point of intersection of the lines represented by the 2 equations.

Do you want them solved?


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A recipe for sparkling grape juice 1 1/2 quarts of sparkling water and 3/4 of grape juice. How much sparkling water woild you need to mix with 9 quarts of grape juice. How much grape juice would you need to mix with 15/4 quarts of sparkling water?

Answers

According to the recipe the ratio of sparkling water to grape juice = 1 1/2 : 3/4.

Let us convert 1 1/2 into improper fraction and that is 3/2.

Now, 3/2: 3/4 or 3/2 ÷ 3/4 = 3/2 × 4/3 = 2/1 or 2:1.

Therefore, sparkling water quantity is two times of the quantity of grape juice.

Now, we need to find the number of quarts of sparkling water need to mix in 9 quarts of grape juice.


Since, sparkling water quantity is two times of the quantity of grape juice.

Therefore, we need 2 × 9 = 18 quarts of sparkling water to mix in 9 quarts of grape juice.


And now we need to find the number of quarts of grape juice would we need to mix with 15/4 quarts of sparkling water.

Therefore, we need 1/2 × 15/4 = 15/8 quarts of grape juice to mix with 15/4 quarts of sparkling water.



Answer:

a)x = 18\,qt, b)y = 1\,(7)/(8)\,qt

Step-by-step explanation:

a) The amount of sparkling water needed is determined by simple rule of three:

x = (9\,qt)/((3)/(4)\,qt)* (3)/(2)\,qt

x = 12* (3)/(2)\,qt

x = 18\,qt

b) The amount of grape juice needed is found by simple rule of three:

y = ((15)/(4)\,qt)/((3)/(2)\,qt ) * (3)/(4)\,qt

y = (30)/(12)* (3)/(4)\,qt

y = (90)/(48)\,qt

y = (15)/(8)\,qt

y = 1\,(7)/(8)\,qt

What is the diagonal of a rectangle with length 48 inches and width 40 inches?

Answers

Use the Pythagorean Theorem: a^2 + b^2 = c^2
You can do this because when you cut the rectangle in half with the diagonal, it forms a right triangle, making the diagonal the hypotenuse (c). 

40^2 + 48^2 = c^2

1600 + 2304 = c^2

3904 = c^2

√(3904) = √(c^2)

62.48 = c

Diagonal: 62.48 inches
i think its D=w2+l2=402+482≈ 62.482in

Find the slope and y ✨

Answers

Answer:

Y=3x

Slope: 3

Y int. (0,0)

Y=-2/3x-3

Slope: -2/3

Y int (0,-3)

Step-by-step explanation:

Pls help with this for 30points​

Answers

2.11. Tariff is the cost or charge for a service.

2.2.2. The cost of refilling the pool with 15kl of water is R285.90.

2.2.3. The VAT inclusive cost for 15kl is R328.79.

2.11. Tariff is the cost or charge for a particular service or resource. It can be thought of as a rate or price that is applied to a specific quantity or volume of the resource being used.

2.2.2. To calculate the cost of refilling the pool, we need to determine the amount of water required and then multiply it by the appropriate tariff rate.

In this case, 15 kilolitres of water needs to be refilled, and based on the provided tariffs, the cost would be: 15 kl x R19.06/kl = R285.90.

2.2.3. To calculate the VAT inclusive amount for using 15 kl, we need to include the value-added tax (VAT) to the cost. VAT is calculated as a percentage of the initial cost.

Assuming a VAT rate of 15%, the VAT inclusive cost would be: R285.90 + (15/100 x R285.90) = R328.79.

For more such questions on Tariff, click on:

brainly.com/question/33033796

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Give the first four terms of a geometric sequence having a1=18 and r = 2.

Answers

Hello,

a_(1)=9*2=18
a_(2)=9*2^(2)=36
a_(3)=9*2^(3)=72
a_(4)=9*2^(4)=144

a_(n)=9*2^(n)







Jael has a monthly budget of x dollars. She spends $1,500 on her mortgage every month. One-fourth of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?A. y=1500+x/4
B. y=(x-1500)/4
C. y=1500-x/4
D.y=(x+1500)/4

And show work so I could understand!

Answers

Answer:

B. y=(x-1500)/4

Step-by-step explanation:

Given that:

Monthly budget = x dollars

Monthly mortgage = $1500

Recreational activities = 1/4 of remaining budget

Amount in dollar spent on recreational activities =

(Monthly budget - monthly mortgage) * 1/4

(x - 1500) * 1/4

Hence,

y = (x - 1500) / 4