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dybincka [34]
2 years ago
5

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

<u>Equations:</u>

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

<u>Subtract the 3 times the second equation from the twice the first:</u>

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

<u>Then, finding g:</u>

  • 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

Read more about parallelograms at:

brainly.com/question/3050890

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

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


<span> </span><span><span> </span> </span>

3 0
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.

(Do take note that c is the longest side.)

a)

0.07^{2} +2.4^{2} =5.7649

2.5^{2}=6.25

Since 2.5^{2} \neq 5.7649, a) is wrong.

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17^{2} +30^{2} =1189\\&#10;34^{2} =1156

Since 34^{2}\neq1189, b) is wrong.

c) (answer)

5^{2} +12^{2} =169\\13^{2} =169

Since 13^{2} =169, c) is correct.

d)

(7x)^{2} +(12x)^{2} =193x^{2}\\(13x)^{2} =169x^{2}

Since (13x)^{2} \neq193x^{2}, d) is wrong.

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2 years ago
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beks73 [17]
The first one is 63.9 and the second should be 116.1
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