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Harman [31]
4 years ago
6

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of t

he remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL of cherry juice. How many liters of fruit punch did Wes make?
Mathematics
1 answer:
jekas [21]4 years ago
6 0
1200 mL, if 300 is half of half the container, that means half is 600 mL, so 600×2=1200
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Anna is selling tickets to her tennis tournament. An adult ticket costs $20 and a student ticket costs $16. Anna collects $1020
scZoUnD [109]

Answer:

D

Step-by-step explanation:

The other choices are wrong.

3 0
4 years ago
The ages of three friends are consecutive integers. The sum of their ages is 45
Alborosie

45 = (x) + (x + 1) + (x + 2)

45 = 3x + 3

- 3

42 = 3x

/3

14 = x

45 = 14 + (14 + 1) + (14 + 2)

45 = 14 + 15 + 16

The ages of the 3 friends are 14, 15, and 16.

6 0
3 years ago
Read 2 more answers
In ∆XYZ, m∠X = 152, y = 15, and z = 19. Find side x and the measure of angle Y to the nearest tenth
solong [7]

The measure of the side x is approximately 33 and the measure of angle Y is approximately 12.321°.

<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>

In this problem we must apply the law of cosine and the law of sine to determine the angle Y:

<h3>Law of cosine</h3>

x = \sqrt{y^{2}+z^{2}-2\cdot y\cdot z\cdot \cos X}

x = \sqrt{15^{2}+19^{2}-2\cdot (15)\cdot (19)\cdot \cos 152^{\circ}}

x \approx 33

<h3>Law of sine</h3>

\frac{\sin Y}{y} = \frac{\sin X}{x}

Y = \sin^{-1}\left(\frac{y}{x}\cdot \sin X \right)

Y = \sin^{-1}\left(\frac{15}{33}\cdot \sin 152^{\circ} \right)

Y \approx 12.321^{\circ}

The measure of the side x is approximately 33 and the measure of angle Y is approximately 12.321°. \blacksquare

To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/25813512

7 0
3 years ago
Simplify. (–28xy) ÷ (4) <br><br> –7xy <br> 7xy<br> -1/7xy<br> 1/7xy
Colt1911 [192]
-28xy/4

-7xy

Therefore, the first answer is correct.

Hope this helps!
6 0
3 years ago
The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d
Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

2P_o=P_o(1+0.08)^t

Simplifying:

2=(1.08)^t

Taking logarithms:

\log 2=\log (1.08)^t

Applying the exponent property of logs:

\log 2=t\log (1.08)

Solving for t:

\displaystyle t=\frac{\log 2}{\log (1.08)}

Calculating:

t\approx 9

It will take 9 years for the population to double

8 0
3 years ago
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