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lana66690 [7]
2 years ago
7

Tyler is making a bowl of punch for a party. The recipe that he is using requires 1 cup of sprite and 3

Mathematics
1 answer:
Serjik [45]2 years ago
8 0

Answer:

1:3 or 1/4 and 3/4

2:6

3:9

Step-by-step explanation:

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Evaluate and match each expression on the left to its value on the right, when x = 9 and y = 6.
kolezko [41]
Answers: 12-x=3 | x+3y=27 | 4y-10=14 | 1/3xy=18

Explanation: x=9 and y=6
12-(9)=3 | (9)+3(6)=27 | 4(6)-10=14 | 1/3(9)(6)=18

5 0
2 years ago
To measure a stone face carved on the side of a​ mountain, two sightings 900 feet from the base of the mountain are taken. If th
olga nikolaevna [1]

Answer:

Height of the stone​ face = 66.29 feet

Step-by-step explanation:

Refer the given figure, here we need to find height of the stone​ face,

Height of the stone​ face = CD

CD = AD - AC

In ΔABC we have

             tan31=\frac{AC}{AB}\\\\tan31=\frac{AC}{900}\\\\AC=540.77feet

In ΔABD we have

             tan34=\frac{AD}{AB}\\\\tan34=\frac{AD}{900}\\\\AD=607.06feet

CD = AD - AC = 607.06 - 540.77 = 66.29 feet

Height of the stone​ face = CD = 66.29 feet

7 0
3 years ago
A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.If the mixture is to be made from milk containing
3241004551 [841]

Answer:

<u>800 pints</u> of 5% butterfat and <u>200 pints</u> of 20% butterfat is needed.

Step-by-step explanation:

Given:

A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.

If the mixture is to be made from milk containing 5% butterfat, and cream

containing 20% butterfat.

Now, to find the pints of each is needed.

Let the pints of 5% butterfat be x.

And the pints of 20% butterfat be y.

<em>So, the total pints of milk:</em>

x+y=1000

x=1000-y  ......(1)

<em>As, given:</em>

<em>1,000 pints of milk that contains 8% butterfat.</em>

<em>The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.</em>

According to question:

5(x)+20(y)=8(1000)

5x+20y=8000

Substituting the value of x from equation (1):

5(1000-y)+20y=8000

5000-5y+20y=8000

5000+15y=8000

<em>Subtracting both sides by 5000 we get:</em>

15y=3000

<em>Dividing both sides by 15 we get:</em>

y=200.

<em>The pints of 20% butterfat = 200 pints.</em>

Now, to get the pints of 5% butterfat we put the value of y in equation (1):

x=1000-y

x=1000-200

x=800.

<em>The pints of 5% butterfat = 800 pints.</em>

Therefore, 800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.

8 0
2 years ago
The product of the roots of the equation x2 + x=2 is:<br> 0-2<br> 01
gregori [183]

Answer:

-2

Step-by-step explanation:

x^2 + x=2

Subtract 2 from each side

x^2 + x-2=2-2

x^2 + x-2=0

Factor

What 2 numbers multiply to -2 and add to 1

2*-1 = -2

2+-1 =1

(x-1)(x+2)=0

Using the zero product property

x-1 = 0  x+2 = 0

x=1        x = -2

Product of the roots

1*-2 = -2

5 0
2 years ago
The temperature is 16 degrees F in the morning and drops to -15 degrees F in the evening what is the difference between these te
Arturiano [62]
16 - (-15) = 16 + 15 = 31...difference of 31 degrees
8 0
2 years ago
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