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Harman [31]
3 years ago
5

In a school, the ratio of boys to girls is 4:3. There are 216 boys. How many girls are there?

Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

162

Step-by-step explanation:

Divide 216 by 4

Then multiply 3 times

That's the answer

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An orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 5.2 centimeters in diamet
drek231 [11]
<h2>Hello!</h2>

The answer is:

The third option:

2.7 times as much.

<h2>Why?</h2>

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h

Where,

r=radius=\frac{diameter}{2}\\h=height

We are given the old can dimensions:

radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm

So, calculating the volume, we have:

Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}

We have that the volume of the old can is:

Volume_{Can}=199.7cm^{2}

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm

Calculating we have:

Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!

3 0
3 years ago
Use the standard normal distribution or the​ t-distribution to construct a 99​% confidence interval for the population mean. Jus
vichka [17]

Answer:

(25.732,30.868)

Step-by-step explanation:

Given that in a random sample of 42 ​people, the mean body mass index​ (BMI) was 28.3 and the standard deviation was 6.09.

Since only sample std deviation is known we can use only t distribution

Std error = \frac{s}{\sqrt{n} } =\frac{6.09}{\sqrt{42} } \\=0.9397

df = 42-1 =41

t critical for 99% two tailed = 2.733

Margin of error= 2.733*0.9397=2.568

Confidence interval lower bound = 28.3-2.568=25.732

Upper bound = 28.3+2.568=30.868

3 0
3 years ago
The angles in a triangle are in the ratio 1:2:3 show that this triangle is a right angle traingle
mojhsa [17]

Answer and explanation:

We know the sum of interior angles in a triangle is 180°.

  • 1 : 2 : 3 = 6 (1 + 2 + 3)
  • x : y : z = 180 (x, y and z are the unknown angles)

To get from 6 to 180, we multiply by 30. This means we can find the angles by doing:

  • 1 × 30 = 30°
  • 2 × 30 = 60°
  • 3 × 30 = 90°

The triangle must be right-angled because one of the angles is 90°. We know that the shape is a triangle because 30 + 60 + 90 = 180°.

The ratio is 30 : 60 : 90.

Hope this helps!

3 0
3 years ago
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Leokris [45]

Answer:

X = -1

Step-by-step explanation:

In pic

(hope this helps can I pls have brainlist (crown) ☺️)

4 0
2 years ago
What is the least common multiple of 4x^3, 9y, and 12x^3y
blondinia [14]

Answer: 36x^3y

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

5 0
3 years ago
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