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NemiM [27]
3 years ago
8

Clinton and Katie order some food at a food truck. At this food truck Clinton buys 6 apple pies and 2 juices for $39. Katie buys

2 apple pies and 4 juices for $18. What is the price of each item? **[System of Equations Question]**

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

________________________________

<h2>Pie: </h2><h3>up = m ÷ ti</h3><h3>= $57 ÷ 8 Pies</h3><h3>= 7.125</h3><h3>= $39 ÷ 7.125</h3><h3>= ~ $5.47368</h3><h3>= $6</h3>

<h2>Juice: </h2><h3>up = m ÷ ti</h3><h3>= $57 ÷ 6 Juices</h3><h3>= 9.5</h3><h3>= $18 ÷ 9.5</h3><h3>= ~ $1.89473</h3><h3>= $1.50</h3>

<h2>The Price Of An Apple Pie Is $6 Each & The Price Of A Juice Is $1.50 Each.</h2>

________________________________

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Martha works in a toy shop and earns $44 Per day. She earns an extra $2 for each toy she sells. If Martha wants to earn at least
Nikitich [7]

Answer: 18

Step-by-step explanation:

80 - 44 = 36

36 / 2 = 18

6 0
3 years ago
Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa. A. How many tablespoons of cocoa per cup of mi
MaRussiya [10]

Answer: 1.5

Step-by-step explanation: you have to divide 6 by 4 and you get 1.5

3 0
2 years ago
" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a
ASHA 777 [7]

Answer:

No, the cone will not hold all of the ice cream.

Step-by-step explanation:

Given:

" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a  height of 6 inches.

If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let  it melt.

Now, to explain mathematically will the cone hold all of the ice cream.

<u>Taking the value of π = 3.14.</u>

So, to get the volume of waffle cone we put formula:

Height (h) = 6 inches.

Diameter = 2\frac{5}{8}=\frac{21}{8}\ inches.

Thus radius (r) = Diameter ÷ 2 = \frac{\frac{21}{8}}{2} =\frac{21}{16} \ inches.

Volume=\pi r^2\frac{h}{3}

Volume=3.14\times \frac{21}{16} \times \frac{21}{16} \times \frac{6}{3}

Volume=3.14\times 1.31\times 1.31\times 2

Volume=10.78\ inches^3.

The volume of waffle cone = 10.78 inches³.

Now, to get the volume of scoop which is in the shape of sphere we put formula:

Diameter = 2\frac{7}{8} =\frac{23}{8} \ inches.

Thus radius (r) = Diameter ÷ 2 =\frac{\frac{23}{8}}{2} =\frac{23}{16} \ inches.

Volume = \frac{4}{3} \pi r^3

Volume = \frac{4}{3} \times 3.14\times \frac{23}{16} \times \frac{23}{16} \times \frac{23}{16}

Volume=1.33\times 3.14\times 1.44\times 1.44\times 1.44

Volume=12.47\ inches^3.

<em>The volume of one scoop of ice cream = 12.47 inches³.</em>

<u><em>So, as the volume of scoop of ice cream is more than the volume of cone.</em></u>

<u><em>Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.</em></u>

Therefore, no the cone will not hold all of the ice cream.

5 0
3 years ago
I have no idea how to do this, it is due in two days. Hopefully someone sees this before then.
elena-14-01-66 [18.8K]

Hello,

m\ \widehat{ABC}=x\\m\ \widehat{BAC}=2*x\\\\So:\\ x+2x=90^o\\x=30^o\\

cos(30^o)=\dfrac{\sqrt{3} }{2} \\

In the triangle ABC,

cos(30^o)=\frac{BC}{BA} \\\\BA=\dfrac{cos(30^o)}{BC} \\\\BA=\frac{\dfrac{\sqrt{3} }{2} }{24} =16*\sqrt{3} \\\\

sin(30^o)=\dfrac{1 }{2} =\dfrac{AC}{AB} \\\\AC=\dfrac{1}{2} *16\sqrt{3} =8\sqrt{3}

In the triangle ACB,

cos(30^o)=\dfrac{AC}{AL} \\\\AL=\dfrac{8\sqrt{3} *2}{\sqrt{3} } =16\\

6 0
3 years ago
I the equation 3x^2+6x=12, the value of c is?
ozzi

Answer:

c = -12

Step-by-step explanation:

Quadratic Standard Form: ax² + bx + c

Step 1: Write equation

3x² + 6x = 12

Step 2: Subtract 12 on both sides

3x² + 6x - 12 = 0

Here, we have the standard form of the quadratic. We see that our c = -12

4 0
3 years ago
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