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2 years ago

Josh bought 3 bottles of grape juice and 5 bottles of water for a total of $14.50. Mary bought 2 bottles

Mathematics

1 answer:

sesenic [268]2 years ago

3 0

Answer:

Bottle of water = $2
Bottle of grape juice = $1.50

Step-by-step explanation:

Grape juice = g
Water = w

Equations:

3g + 5w = 14.50
2g + 3w = 9.00

Subtract the 3 times the second equation from the twice the first:

2*(3g + 5w) - 3(2g + 3w) = 2*14.50 - 3*9.00
6g + 10w - 6g - 9w = 29 - 27
w = 2

Then, finding g:

3g + 2*5= 14.50
3g = 14.50 - 10
3g = 4.5
g = 1.50

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WORTH 20 POINTS HELP

vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

So, we have:

$QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}$

$RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}$

$ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}$

$TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}$

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$QR = \frac{9 + 1}{2 + 3} = \frac{10}3$

$RS = \frac{5-9}{-4 - 2} = \frac{2}3$

$ST = \frac{5+5}{-4 + 7} = \frac{10}3$

$TQ = \frac{-5+1}{-7 + 1} = \frac{2}3$

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram

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6 0

2 years ago

9 times what number minus 7 equals negative seven

kirill115 [55]

9x-7=-7
9x=o
x=0
so the answer....is 0

8 0

3 years ago

Carl deposited $5,142 into a savings account 20 years ago. The account has an interest rate of 3.8% and the balance is currently

Aleksandr [31]

Here is the formula you'll need
Total = Principal * (1 + (rate/n))^n*years
I don't know how to solve that for "n" so we'll use trial and error.

If compounded annually, total = 10,841.24 
If compounded quarterly, total = 10,955.64 
If compounded monthly, total = 10,981.82 
If compounded daily, total = 10,994.58 
Therefore the answer is "A", daily.

Source:
http://www.1728.org/compint3.htm

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3 years ago

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Alik [6]

Answer: c)

Step-by-step explanation:

This can be done through trial-and-error. Use the pythagoreas' theorem $a^{2} +b^{2} =c^{2}$ and if the left side of the equation is equal to the right, that is the answer.