There are 3 times as many females as males on the maths course at university. What fraction of the course are male?
Give your answer in its simplest form.

Answer:

To answer this question you will use the median height of 156 centimeters and the fact that there are 26 kids in the class to know that the median is not in the data set, therefore it breaks the data into two equal halves with 13 in each half.There would be 13 less or equal to the median height.

Step-by-step explanation:

Answer:

There would be 13 less or equal to the median height.

Answer:

It takes the hose 300 hours to fill the pool

Step-by-step explanation:

The hose can fill the pool at a rate of 0.5 gallons per second, which means that it can fill the pool at a rate of 1 gallon per 2 seconds. It needs to fill 9000 gallons of water, so assuming the ratio remains 1:2, it takes the hose 18000 (9000*2) seconds to fill the pool completely.

However, it is important to note that we have to answer in terms of hours. There are 60 seconds in an hour, so 18000 seconds is equal to 300 hours (18000/60).

Answer:

If the pool's capacity is 9,000 gallons the number of hours it takes for the hose to completely fill an empty pool is 5 hours.

Step-by-step explanation:

Given:

A hose fills a swimming pool at a rate of 0.5 gallons per second.

If the pool's capacity is 9,000 gallons, we have to find the number of hours it would take for the hose to completely fill an empty pool.

Step 1 of 1

Do a basic conversion problem:

time in seconds[tex]$=9000$ gallons $\cdot \frac{1 \text { seconds }}{0.5 \text { gallons }}$[/tex]

[tex]$$\begin{aligned}&=\frac{9000}{0.5} \text { seconds } \\&=18000 \text { seconds }\end{aligned}$$[/tex]

We can also convert seconds to hours using conversion factors. This gives

[tex]$$\begin{aligned}18000 \text { seconds } &=(18000 \text { seconds }) \cdot \frac{1 \text { minute }}{60 \text { seconds }} \cdot \frac{1 \text { hour }}{60 \text { minutes }} \\&=\frac{18000}{60 \cdot 60} \text { hours } \\&=5 \text { hours }\end{aligned}$$[/tex]

1.

4 5/12 -->  53/12

2 7/18 --> 43/18

53/12 --> 159/36

43/18 -->86/36

159       86      73

-----    -   ----  = -----

36         36       36

2.

3 scoops

3.

0.75 blocks

4.

1.4 of a pound

5.

3/5 students

Answer:

The answer is 65 percent

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

This is a proportion question.

598      x

___ = ___

920    100

First, do 598 x 100 and get 59,800.

Then do 59,800/920 and get 65%.

Answer:256

Step-by-step explanation:640/10 equal 64

so then multiply 64x4 equal 256 so 256/640

The number of students who applied for admission is 1600

Using the values given in our Calculation:

Calculating the proportion of students who gets admitted :

To obtain the number that would get admitted from 640 students, divide the total number of applications by the proportion

Now we have :

Therefore, only 1600 students applied .

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Answer:what graph?

Step-by-step explanation:

if we cant see the graph then we cant answer lol

Based on the image attached of the graph, the points that show equivalent ratios that would also be on the graph are option A and D which are: (6,18)  (1,3).

Note that: [tex]\frac{x}{y}[/tex]

=[tex]\frac{3}{9}[/tex]

= 1/3

So when you use 1/3 to compare all the options given, you will see that only option A and D  is equal to the value given.

So if a person can write that  we got  1 fish and we needs 3 gallons and when a person  make a point on the line, it will be (1,3).

The other equivalent fraction is known to be 6/18. When a person multiply the numerator and denominator by 2, the value that will be obtained is:

[tex]\frac{3 x 2 }{9 x 2}[/tex]   = 6/18.

So therefore, Based on the image attached of the graph, the points that show equivalent ratios that would also be on the graph are option A and D which are: (6,18)  (1,3).

See full question below

Christina wants to buy some miniature goldfish. She reads that a 9-gallon aquarium is the right size for 3 miniature goldfish. The graph represents this relationship.

Which points show equivalent ratios that would also be on the graph? Select all that apply.

A. (6,18)

B. (6,12)

C. (4,10)

D. (1,3)

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Answer:

23. 1/5 24.7/10 25. 23/50

Answer:

his is correct

Step-by-step explanation:

Answer:

84°

Step-by-step explanation:

The circle has five central angles that together equal to 360°.

55° + 37° + 96° + 88° = 276°

Hence, to find the fifth central angle, we have to subtract 276° from 360°.

360° - 276° = 84°

The degree measure of the last central angle is 84°.

Hope this helps! :)

Answer:

Step-by-step explanation:

I think that the best line you can draw with an ordered pair given would be (4,15) and (10,7)

Answer: 1 1/5 or 6/5

Step-by-step explanation:

Answer:

x < 1

Explanation:

→ x + 5 < 6

subtract both sides by 5

→ x + 5 - 5 < 6 - 5

simplify the following

→ x < 1

Option A) 14/250 = N/350 is correct.

Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new engine is 350 cubic centimeters and has proportionally larger fan belt.

proportionality can be defined as, how much the number is relatable to other number i.e. x =2y x is two times proportion to y.

Hence, in the question
for 250 cc engine it has 14 inch belt
for 350 cc engine it has N inch belt(let)
proportionality can be given as
14 ∝ 250
N ∝ 350
dividing both equation
N/14=350/250
or 14/250=N/350

Thus, the required proportion is given as 14/250=N/350.

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Step-by-step explanation:

Angle 1 = 105 degrees (co-interior angles on a set of parallel lines)

Angle 2 = 75 degrees (corresponding angles on a set of parallel lines)

Hope you have a nice day :)

Answer:

The January price of the doll is same as the November price. It does not depend on the original price.

Step-by-step explanation:

- We are given with a word problem

- We are asked to find whether the January price is higher or lower or equal to the November price.

- We can do this in two steps

Step 1 : Finding the price of doll in December and January

Step 2 : Comparing them.

Step 1 of 2

Let x be the price of any doll in Tom's House.

The percentage increase in December is 25%

That is [tex]$\frac{1}{4} \times x=\frac{x}{4}$[/tex]

Then the price in December is

[tex]x+\frac{x}{4}=\frac{4 x+x}{4}$$\\ \frac{4 x+x}{4}=\frac{5 x}{4}[/tex]

And the percentage decrease in January is 20%

That is [tex]$\frac{20}{100}=\frac{1}{5}$[/tex] of that price in December

[tex]$$\begin{aligned}\frac{1}{5} \times \frac{5 x}{4} &=\frac{5 x}{5 \times 4} \\\frac{5 x}{20} &=\frac{x}{4}\end{aligned}$$[/tex]

The measure of the angles m∠1, m∠2 and m∠3 are 145°, 35° and 35° respectively.

An equation is an expression that shows the relationship between two or more numbers and variables.

m∠2 = m∠4 = 35° (corresponding angles are equal)

m∠2 = m∠3 = 35° (corresponding angles are equal)

m∠1 + m∠3 = 180° (base angles are supplementary)

m∠1 + 35 = 180

m∠1 = 145°

The measure of the angles m∠1, m∠2 and m∠3 are 145°, 35° and 35° respectively.

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Answer:

7 1/2 acres = 15 / 2 acres and a third of this is 5/2 or 2.5 acres for grazing animals.7 1/2 acres = 15 / 2 acres and a fifth of this is 3/2 or 1.5 acres for growing vegetables.

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

because if you flip e to the other side of the y-axis you'll get (2,4) and do the same with the letters and that's your answer.

Answer:

B.  C'(3 , 0) , D'(7 , 1) , E'(2 , 4)

Step-by-step explanation:

reflecting the point A(x , y) across the y-axis gives us the point A'(-x , y)

Then

The image of E(-2 , 4) is E'(2 , 4)

The image of C(-3 , 0) is C'(3 , 0)

The image of D(-7 , 1) is D'(7 , 1)

Therefore

The correct answer is option B.

Answer:

I'm not sure but I guess it was D

Step-by-step explanation:

coz they want the c value

SO PROBABLY D OR A

TRY ASKING YOUR FRIEND

THANK YOU

Answer:

I also don't know so I am sorry I need point

Answer:

On comparing the center i.e. mean we get that the sports magazine 19 uses more words than a political magazine 18 but they are almost the same because their difference is only 1. The variance of sports magazines 5.8 is greater than the variance of political magazines 5.2. We cannot use this to make a valid comparison about the magazines to a magazine the content matters or maybe the number of readers matters not the number of word count.

Step-by-step explanation:

Given: The number of words per sentence in a sports magazine to the number of words per sentence in a political magazine. The data represent random samples of 10 sentences in each magazine.

Sports magazine [tex]$$9,21,15,14,25,26,9,19,22,30$$[/tex].

Political magazine [tex]$$31,22,17,5,23,15,10,20,20,17$$[/tex].

To compare the samples using measures of center and variation.

Step 1 of 2

The mean of the words of sports magazine is [tex]\begin{aligned}(9+21+15+14+25+&26+9+19+22+30) \times \frac{1}{10} \\&=\frac{190}{10} \\&=19\end{aligned}[/tex]

The mean of the words of the political magazine is [tex]\begin{aligned}&(31+22+17+5+23+15+10+20+20+17) \times \frac{1}{10}\\&=\frac{180}{10}\\&=18\end{aligned}[/tex]

On comparing the center i.e. mean we get that the sports magazine uses more words than a political magazine.

Step 2 of 2

Variation of sports magazine is [tex]=\frac{1}{10}\times(|19-9|+|19-21|+|19-15|+|19-14|+|19-25|+|19-26|+|19-9|+|19-19|+|19-22|+|19-30|)$$\\ $$=\frac{1}{10}\times(10+2+4+5+6+7+10+0+3+11)$$\\$$=\frac{1}{10}\times58$$\\$$=5.8$$[/tex]Variation of the political magazine is \end{tabular}

[tex]=\frac{1}{10}\times(|18-31|+|18-22|+|18-17|+|18-5|+|18-23|+|18-15|+|18-10|+|18-20|+|18-20|+|18-17|)$$\\ $$=\frac{1}{10}\times(13+4+1+13+5+3+8+2+2+1)$$\\ $$=\frac{52}{10}$$\\ $$=5.2$$[/tex]

The variance of sports magazines is greater than the variance of political magazines.

We cannot use this to make a valid comparison about the magazines to a magazine the content matters or maybe the number of readers matters not the number of word count.

Answer:

2880 cans.

Step-by-step explanation:

Currently, he already collected 1,100 pounds of newspaper.

Each pound is equal to one penny or 0.01 dollars.

1100 * 0.01 = $11 dollars.

$20 - $11 = $9.

He needs $9 dollars.

$9 / 0.05 (Nickel value) = He needs 180 Nickels / Pounds of Aluminum.

180 pounds = 2880 oz (180 * 16)

He needs 2880 cans.

Rob needs to collect 180 pounds of aluminum cans. This corresponds to approximately 2,880 aluminum cans, considering each can weighs approximately 1 ounce.

Rob figure out how many aluminum cans he needs to collect to earn $20 for his club. The recycler pays different rates for newspaper and aluminum, so we'll use some mathematical concepts like Equations and conversion to find the answer.

To determine how many aluminum cans Rob needs to collect, we'll follow these steps:

Step 1: Calculate earnings from newspapers

First, we need to find out how much money Rob will make from the 1,100 pounds of newspaper he collected. The recycler pays one penny per pound for newspaper. So, the earnings from newspapers can be calculated using the formula:

[tex]\[ \text{Earnings}_{\text{newspaper}} = \text{Rate}_{\text{newspaper}} \times \text{Weight}_{\text{newspaper}} \][/tex]

Here, [tex]\(\text{Rate}_{\text{newspaper}}\)[/tex] is the rate per pound for newspaper, which is $0.01 (1 penny), and

[tex]\(\text{Weight}_{\text{newspaper}}\)[/tex] is the weight of newspaper collected, which is 1,100 pounds.

[tex]\[ \text{Earnings}_{\text{newspaper}}[/tex] = [tex]\$0.01 \times 1,100 ][/tex]

Step 2: Calculate earnings from aluminum cans

Next, we'll find out how much money Rob will make from collecting aluminum cans. The recycler pays five cents per pound for aluminum, which is equivalent to $0.05. However, the weight of the aluminum cans is given in ounces, so we'll need to convert it to pounds.

Since 1 pound is equal to 16 ounces, we can use the conversion factor:

[tex]\[ 1 \text{ pound} = 16 \text{ ounces} \][/tex]

To convert the weight of aluminum cans from pounds to ounces, we use the formula:

[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\text{Weight}_{\text{aluminum}} (\text{ounces})}{16} \][/tex]

We know that Rob wants to earn $20, and we already calculated the earnings from newspapers. So, we can find the earnings from aluminum cans using the formula:

[tex]\[ \text{Earnings}_{\text{aluminum}} = \$20 - \text{Earnings}_{\text{newspaper}} \][/tex]

Now, we can find the weight of aluminum cans in pounds:

[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\text{Earnings}_{\text{aluminum}}}{\text{Rate}_{\text{aluminum}}} \][/tex]

where [tex]\(\text{Rate}_{\text{aluminum}}\)[/tex] is the rate per pound for aluminum, which is $0.05.

[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\$20 - \text{Earnings}_{\text{newspaper}}}{\$0.05} \][/tex]

Step 3: Convert weight to number of cans

Since each aluminum can weighs approximately 1 ounce, we can find the number of cans Rob needs to collect by converting the weight from pounds to ounces:

[tex]\[ \text{Number of cans} = \text{Weight}_{\text{aluminum}} (\text{pounds}) \times 16 \][/tex]

Substitute the expression for[tex]\(\text{Weight}_{\text{aluminum}} (\text{pounds})\)[/tex] from Step 2:

[tex]\[ \text{Number of cans} = \left( \frac{\$20 - \text{Earnings}_{\text{newspaper}}}{\$0.05} \right) \times 16 \][/tex]

Now, let's calculate the number of aluminum cans Rob needs to collect to earn $20 for his club!

First, we'll calculate the earnings from newspapers:

[tex]\[ \text{Earnings}_{\text{newspaper}} = \$0.01 \times 1,100 = \$11 \][/tex]

Next, let's find the earnings from aluminum cans:

[tex]\[ \text{Earnings}_{\text{aluminum}} = \$20 - \$11 = \$9 \][/tex]

Now, let's calculate the weight of aluminum cans in pounds:

[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\$9}{\$0.05} = 180 \text{ pounds} \][/tex]

Finally, we'll convert the weight from pounds to ounces:

[tex]\[ \text{Number of cans} = 180 \text{ pounds} \times 16 = 2,880 \text{ cans} \][/tex]

So, Rob needs to collect approximately 2,880 aluminum cans, each weighing approximately 1 ounce, to earn $20 for his club.

Rob collected 1,100 pounds of newspaper, earning $11 from the recycler. To reach his goal of earning $20 for his club, he needs to collect 180 pounds of aluminum cans. This corresponds to approximately 2,880 aluminum cans, considering each can weighs approximately 1 ounce.

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Answer:

67 cents

Step-by-step explanation:

2 quarters: one quarter is 25 cents, so two will be 50 cents.

5 cents: Just 5 cents.

1 dime: A dime is 10 cents.

2 cents: 2 cents!

Add everything up: 50 + 5 + 10 +2 = 67 cents!

Answer:

Step-by-step explanation:

$7.45 = 100g

x = 3kg( 3 × 1000) = 3000g

∵ $7.45 = 100g

   x        = 3000g

(100 × x) = (7.45 ×  3000)

100x = 22350

100x/100 = 22350/100

x  = $223.5

[tex]\frak{Hi!}[/tex]

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              [tex]\star\large\boldsymbol{\rm{Given-:}}[/tex]

             [tex]\star\large\boldsymbol{\rm{We're\;Looking\;for}}[/tex]

            [tex]\star\large\boldsymbol{\rm{This\;is\;how\;it's\;found}}}[/tex]

        [tex]\large\boldsymbol{\rm{0.4\times100=40\;Centimetres}}[/tex]

[tex]\pmb{\tt{done!!!}}[/tex]

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