In a recent year, 28% of all college students were enrolled part-time. If 7.2 million college students were enrolled part-time that year, what was the total number of college students? Round your answer to the nearest million.

Step-by-step explanation:

Area of parallelogram:

Area of trapezoid:

[tex]\bold{\huge{\blue{\underline{ Solution \:5 }}}}[/tex]

We have given ,

We know that,

[tex]\sf{\pink{ Area\: of\: parallelogram = Base × Height }}[/tex]

[Parallelogram is a polygon which having opposite sides parallel to each other and the length and breath of the parallelogram are equal ]

Subsitute the required values in the above formula :-

[tex]\sf{ Area\: of\: parallelogram = 4 × 5 }[/tex]

[tex]\sf{ Area\: of\: parallelogram = 20 in. }[/tex]

Hence, Area of parallelogram is 20 inch

[tex]\bold{\huge{\blue{\underline{ Solution\: 6 }}}}[/tex]

We have given here,

We know that,

[tex]\sf{\pink{ Area\: of\: trapezium = 1/2 ×(a + b) × Height }}[/tex]

[Trapezium is figure that having two parallel sides and 2 non - parallel sides. ]

Subsitute the required values in the above formula :-

[tex]\sf{ Area\: of\: trapezium = 1/2 ×(6+14)×8 }[/tex]

[tex]\sf{ Area\: of\: trapezium = 1/2 × 20 × 8 }[/tex]

[tex]\sf{ Area\: of\: trapezium = 10 × 8 }[/tex]

[tex]\sf{ Area\: of\: trapezium = 80 in. }[/tex]

Hence, Area of trapezium is 80 inch.

Answer:

Nope

Step-by-step explanation:

Sum of 2 numbers 4 +4 is at least 8 and the sum of of one of the numbers 2 + 2 and 2 + 3 x4. = 14

Answer:

Domain: all real numbers

Range : y ≤ 2

Step-by-step explanation:

Domain : the set of possible x-values

Range : the set of y-values

From inspection of the graph:

Answer:

35% increase

Step-by-step explanation:

81 - 60 = 21

21/60 = 0.35

0.35 x 100% = 35%

= 35% increase

60 or y=4×+6

Step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solution.

Answer:

Length of Sofia's poster: 0.75 m

Length of Rafael's poster: 0.65 m

Difference: 0.75m - 0.65m

= 0.1 m

Hope this is correct

Mark as Brainliest please

Step-by-step explanation:

 So basically when you have to calculate the quarters you need to first of all the data. So this modern number first and then so in this case will be 000 and so on. Then you have to find the position. So in this case you have Around 40 value. So In this case for example the first one will be the 10th value in this case. Day 20th In this case the 30th. So for example 25% of the data of the first party will be until six. So you know 25% of the others will be six or below six. 50% of the data will be in the 20th position. So it will be below nine Or nine and 75% of data will be below or equal to 16. 16. Anything couple of 16 will be in the top 25% and those are dancers. So this is a quick summary. Remember that you find these values When you calculate the 75% position. That in this case because you have 40 values that will be 30%. For the second quarter will be the 50% and for the first quarter will be the 25%. How do you know that? 1st? You need to sort all the data. So the first smallest bodies will be here from smaller to larger and then you find the relative position paid on this percentage.

Answer:

Riley has 4 times the amount of stickers her sister has

Step-by-step explanation:

220 divided by 55 is 4

Answer:

oh shoot just do what you do to find the angles. all of them add up to 180 degrees

Step-by-step explanation:

Answer:

452 m^2

Step-by-step explanation:

Formula

A=4πr^2

4·π·6^2≈452.38934

[tex]\\ \rm\hookrightarrow \sqrt{x-6}=x-12[/tex]

[tex]\\ \rm\hookrightarrow x-6=(x-12)^2[/tex]

[tex]\\ \rm\hookrightarrow x-6=x^2-24x+144[/tex]

[tex]\\ \rm\hookrightarrow x^2-25x+150=0[/tex]

[tex]\\ \rm\hookrightarrow x^2-10x-15x+150=0[/tex]

[tex]\\ \rm\hookrightarrow (x-10)(x-15)=0[/tex]

[tex]\\ \rm\hookrightarrow x=15\:or \:10[/tex]

Answer:

[tex]x = 15,10[/tex] || C and D is the correct choices.

Step-by-step explanation:

[tex]\sqrt{x-6}=x-12[/tex]

[tex]x-6 =(x-12)^2[/tex]

[tex]x-6 = x^2 -24x +144[/tex]

[tex]x^2 -24x -x +144 +6 = 0[/tex]

[tex]x^2 - 25x + 150= 0[/tex]

[tex]x^2 -15x -10x +150=0[/tex]

[tex]x(x-15)-10(x-15)=0[/tex]

[tex](x-15)(x-10) = 0[/tex]

[tex]x = 15,10[/tex]

Hey there!

2/3 + 1/4
= 2 × 4/3 × 4 + 1 × 3/4 × 3

= 8/12 + 3/12

= 8 + 3 / 12 + 0

= 8 + 3 / 12

= 11/12

Therefore, your answer is: 11/12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:710

Step-by-step explanation:

1 centimeter is 10 millimeters so 71 times 10 is 710

Answer:

710mm

Step-by-step explanation:

1 centimeter is equal to 10 millimeters:

[tex]1cm=10mm[/tex]

The distance d in millimeters (mm) is equal to the distance d in centimeters (cm) times 10:

[tex]d_{mm} =d_{cm}*10[/tex]

71cm × 10

= 710mm

Answer:

2/8 farther than Mariam

Step-by-step explanation

mahra walks 5/8 km

Mariam walks 3/8 km

therefore, to know how many km mahra walks farther than mariam.

5/8-3/8

Answer:

[tex]5a^2+\frac{2a}{3} + 9[/tex]

Step-by-step explanation:

Refer to file. Trying something different. Should be easier to read than text format and is easier than mathML.

Answer:

A = 92°

B = 100°

C = 88°

D = 80°

Step-by-step explanation:

Cyclic quadrilateral : a quadrilateral drawn inside (inscribed) a circle.

The opposite angles in a cyclic quadrilateral add up to 180°.

Therefore, A + C = 180° and B + D = 180°

If A + C = 180° , then

⇒ (x + 2) + (x - 2) = 180

⇒ x + 2 + x - 2 = 180

⇒ 2x = 180

⇒ x = 90°

Therefore,

A = x + 2 = 90 + 2 = 92°

C = x - 2 = 90 - 2 = 88°

D = x - 10 = 90 - 10 = 80°

B = 180 - D = 180 - 80 = 100°

Answer:

I do not agree with Kim.

Step-by-step explanation:

1/4 x 12 = 3

12 x 4 = 48

3 and 48 are not equal, therefore they are not the same, so I do not agree with Kim.

Hope this helps:)

Answer:

[tex]\frac{200}{3}[/tex] square units

Step-by-step explanation:

Knowing the function and that the triangle is formed by both the x and y-axis, you already have the triangle's height, which is 10 (the y-intercept of the functon) To find the base length, all you have to do is find the x-intercept. To do that, simply:

Set function equal to 0 and solve for x:

f(x) = 10 - [tex]\frac{3}{4}[/tex] x

0 = 10 - [tex]\frac{3}{4}[/tex] x

[tex]\frac{3}{4}[/tex] x = 10

x = [tex]\frac{40}{3}[/tex]

This means that the base length of the triangle is also  [tex]\frac{40}{3}[/tex]. Now that you have the height and base length, you can

Plug values into the formula for the area of a triangle:

The area of a triangle is [tex]\frac{1}{2}[/tex] × height × base

Height = 10, base = [tex]\frac{40}{3}[/tex]

Area = [tex]\frac{1}{2}[/tex] × 10 × [tex]\frac{40}{3}[/tex]

Area = 5 × [tex]\frac{40}{3}[/tex]

Area =  [tex]\frac{200}{3}[/tex]

Answer:

(y+2)²-(x+1)²/1=1

Step-by-step explanation:

No Clue what this is so I looked it up✓

Answer:

Step-by-step explanation:

The answer is in the attachment.

Besides this, there are more rules of trichotomy.

Answer:

Let us consider any two numbers 6 and 9 then we have the relation.

[tex] \gray{ \frak{9 > 6 \: \: \: or \: \: \: 6 < 9}}[/tex]

Rule 1.

Adding 2 on both sides then;

[tex] \frak{ \gray{9 + 2 > 6 + 2 \: \: \: or \: \: \: 6 + 2 < 9 + 2}}[/tex]

[tex]\frak{ \gray{ \therefore \: 11 > 8 \: \: \: or \: \: \: 8 < 11}}[/tex]

Both are true for addition.

Thus,when equal number is added to both sides of trichotomy symbol,the symbol remains the same.

Rule 2.

Subtracting 2 on the both sides then,

[tex]\frak{ \gray{9 - 2 > 6 - 2 \: \: \: or \: \: \: 6 - 2 < 9 - 2}}[/tex]

[tex]\frak{ \gray{\therefore \: 7 > 4 \: \: \: or \: \: \: 4 < 7}}[/tex]

Both are true for subtraction.

Thus,when equal number is subtracted to both sides of trichotomy symbol,the symbol remains the same.

Rule 3.

Multiplying both sides by 2 then,

[tex]\frak{ \gray{9 \times 2 > 6 \times 2 \: \: \: or \: \: \: 6 \times 2 < 9 \times 2}}[/tex]

[tex]\frak{ \gray{ \therefore \: 18 > 12 \: \: \: or \: \: \: 12 < 18}}[/tex]

Both are true for multiplication by positive numbers.

But if we multiplied by -2 then there will be,

[tex]\frak{ \gray{ - 18 > - 12 \: \: \: or \: \: \: - 12 < - 18}}[/tex]

These are not true.

To be true,there must be:

[tex]\frak{ \gray{ - 18 < - 12 \: \: \: and \: \: \: - 12 > - 18}}[/tex]

Thus,when both sides of trichotomy symbol are multiplied by equal positive number then the symbol remains the same.When both sides of trichotomy symbols are multiplied by equal negative numbers then the symbol changes as follows:

'<' Changes to'>' and '>' Changes to'<'.

Similarly check for division then get the same result as in multiplication.

Thus,when both sides of trichotomy symbol are divided by an equal positive number, the symbol remains the same.When both sides of trichotomy symbol are divided by an equal negative number,the symbol '<' is changed to'>' or '>' is changed to'<'.

[tex]\boxed{\frak{\gray{BrainlyFairy}}}[/tex]

Total cost = number of jackets bought x price per jacket.

83.97 = 3x

Divide both sides by 3

X= 83.97/3

X = 27.99

price per jacket = $27.99

The submarine is about 54 meters below the surface.

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

Let y represent the height of the submarine. Hence:

y = -75 + 21 = 54 meters

The submarine is about 54 meters below the surface.

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

45ft²

Step-by-step explanation:

4 [ 2(6ft × 1.5ft) ÷ 2 ] + ( 3ft × 3ft )

= 4 [ 2(9) ÷ 2 ] + ( 3ft × 3ft )

= 4 [ 18 ÷ 2 ] + ( 3ft × 3ft )

= 4 ( 9 ) + ( 9 )

= 36 + 9

= 45ft

Answer: (p, q) = (3, 2)

Step-by-step explanation:

So we get that g(f(x)) = p(1-x)^2 + q = p(x^2 - 2x + 1)+q = px^2 - 2px + p+q.

Matching coefficients, we get that p=3, -2p=-6, and p+q=5.

It follows that p=3 and q=2.

Answer:

2) 13/15

4) 11/12

6) 11/12

Answer:

#2)

To add fractions, we have to find the common denominator between the two fractions. For this one, it is 15; 5 has the least common multiple of 15 which shares with 3. So in order to make the first fraction have the denominator of 15, we have to multiply the numerator and the denominator by 3. We get 3/15. For the second, we have to multiply the numerator and denominator by 5. We get 10/15. Now that we have fractions with the same denominators, we just add the numerators together and then simplify. 3 + 10 = 13.

1/5 + 2/3 = 13/15

#4) & #6)

Repeat the above steps for each fraction to solve.

4)  11/12

6)  11/12