At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying. The rest of the time is considered free time, which the student can spend doing activities of their own choosing. What fraction is considered free time?

Answer:

(2,-2)

Step-by-step explanation:

To solve this using substitution you would take your second equation and plug it in for y of the first equation (4x-10= -3x+4). You then would add the 10 over (4x= -3+14). Next you add the 3x over(7x=14). Finally divide both sides by 7, which should give you x=2. Now all you have to do is plug the two in for x in one of your equations (which ever equation you prefer) (y=-3(2)+4). Solve the equation and you will then have the answer to y, which you can then put into a point.

Answer:

(2,-2)

Step-by-step explanation:

4x-10=-3x+4

+10           +10

4x=-3x+14

+3x . +3x

7x=14

/7  /7

x=2

y=4(2)-10

y=8-10

y=-2  

sorry i took so long i was cooking pasta

Answer:

Step-by-step explanation:

ok so go on google and it should show u

Answer:

x+11

Step-by-step explanation:

To draw the image of a quadrilateral under a translation, shift every point of the quadrilateral accordingly. The translated points form the new quadrilateral.

To draw the image of quadrilateral ABCD under a translation by 2 units to the right and 5 units down, you need to shift every point of the quadrilateral 2 units to the right and 5 units downwards. For example, if point A was at (2,3), its new point after the translation would be at (2+2, 3-5) = (4,-2). You will need to do the same for points B, C, and D. Once you have the new coordinates for A, B, C, and D, simply connect them in the same order to get your translated quadrilateral. Remember that the shape and size of the quadrilateral will not change during the translation, only its position on the graph.

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Answer:

x² + 2x - 3

Step-by-step explanation:

Given

(x + 3)(x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 1) + 3(x - 1) ← distribute both parenthesis

x² - x + 3x - 3 ← collect like terms

= x² + 2x - 3

Answer:

x^2+2x−3

Step-by-step explanation:

lets use the multiplication property of distrubution.

x * x = x^2

x * -1 = -x

(x+3)(x−1)

=(x+3)(x+−1)

=(x)(x)+(x)(−1)+(3)(x)+(3)(−1)

=x2−x+3x−3

=x^2+2x−3

brainliest?

Answer:

The arc measure of BC is 64

Step-by-step explanation:

1. Calculate the full circumference of the circle

C=2pir

=2pi(18)

=36pi

2. Figure out the arc measure

arc length/circumference=arc measure/degrees in a circle

14pi/36pi=arc measure/360 (solve for arc measure)

14pi/36pi *360=140

The measures of BC and CA add up to the measure of BA

mBC +76=140

BC=64

It is Jada with a mad of 1.5.

Answer:

x ≤ 2

Step-by-step explanation:

3/4x−2/3≤5/6

Multiply each side by 12 to get rid of the fractions

12(3/4x−2/3)≤5/6*12

9x - 8 ≤ 10

Add 8 to each side

9x -8+8 ≤ 10+8

9x ≤ 18

Divide each side by 9

9x/9 ≤ 18/9

x ≤ 2

Answer:

x ≤ 2

Step-by-step explanation:

¾x - ⅔ ≤ ⅚

¾x ≤ ⅚ + ⅔

¾x ≤ [5 + 2(2)]/6

¾x ≤ 9/6

x ≤ 9/6 × 4/3

x ≤ 2

Number line going towards left from 2 with a closed circle at 2

Measure of E is congruent to K, so E is 50 degrees.

Measure of G is congruent to L, so G is 105 degrees.

Measure of F is congruent to J, J is 180 deg - 50 deg - 105 deg = 25 degrees, so F is 25 degrees.

The proof I am using is the Corresponding Angles Postulate.

I NEED BRAINLIEST!

Answer: 30

Step-by-step explanation:

Answer:

You have to C or clear the calculator first

Step-by-step explanation:

Some other randum number is there. So you have to press C or clear and then type the problem

mark brainliest plz

Answer:

the answer is C

Step-by-step explanation:

because you have clear the calculator's memory of any operations that has been performed prior to this new operation

Answer:

no solutions

Step-by-step explanation:

The lines are parallel (they have the same slope) but have different y intercepts, so they will never intersect.  The solutions are found where the lines intersect, so there are no solutions

Answer:

A = 200.96 units^2

Step-by-step explanation:

We know the circumference is given by

C = 2 * pi *r

Approximating pi by 3.14

50.24 = 2 * 3.14 *r

50.24 = 6.28 r

Divide each side by 6.28

50.24/ 6.28 = 6.28r/6.28

8 =r

Now we can find the area

A = pi * r^2

A = 3.14 * r^2

A = 3.14 (8)^2

A = 200.96 units^2

Solution:

surface area of a piece of paper = 137 sq cm

Use the fact that 10 mm = 1 cm to convert this area to mm^2

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

Then,

[tex]1\ cm^2 = 100\ mm^2[/tex]

Convert  137 sq cm to sq mm

[tex]137\ cm^2 = 137 \times 100\ mm^2\\\\137\ cm^2 = 13700\ mm^2[/tex]

Thus, surface area of a piece of paper is [tex]13700\ mm^2[/tex]

To convert the surface area of a piece of paper from cm² to mm², use the conversion factor 1 cm² = 100 mm².

To convert the surface area of a piece of paper from square centimeters (cm²) to square millimeters (mm²), we can use the conversion factor that 10 mm = 1 cm. Since we are given the surface area as 137 cm², we can multiply it by the conversion factor to get the value in mm².

Conversion factor: 1 cm² = (10 mm)² = 100 mm²

Therefore, the surface area of the paper in mm² is 137 cm² x 100 mm²/cm² = 13700 mm².

Answer:

30

It's thirty because median is the middle of all numbers, and thirty is the middle of all numbers.

Answer:

I am thinking 108 please correct me if I am wrong

Answer: measure angle 2 is 72

Step-by-step explanation: All angles of a triangle add up to 180 so you add 42 and 30 to find measure angle 1 which would be 108 now a horizontal line is 180 is you subtract 108 from 180 and you get 72.

Answer: 94.2

Step-by-step explanation: If pie were to equal 3.14 then you would multiply 30 and 3.14 and that would equal your answer

Answer:

94.26

Step-by-step explanation:

General formula for the circmference of a circle=2πr

π=3.142

Diameter is given in the question so to determine the radius

Radius=diameter/2

Radius=30/2

Radius=15

Circumference=2πr

=2×3.142×15

=94.26

So the final answer is 94.26

Answer:

-16(1)^2+60(1)= -16+60=44

Step-by-step explanation:

Answer:

a polygon

Step-by-step explanation:

A quadrilateral is a polygon. The shape that has more than 3 sides and less than 5 vertices is a quadrilateral.

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

The complete question is: What shape has only straight sides more than 3 sides and has fewer than 5 vertices and can be cut into fourths?

Since we need to cut the shape into four equal parts, Also the number of sides should be greater than 3, while the number of vertices should be less than 5. Therefore, the shape that fits these criteria is a quadrilateral. For example, square, rectangle, etc.

Learn more about Quadrilateral:

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Answer:

25

Step-by-step explanation:

Find factors of:

25: 1, 5, 25

50: 1, 2, 5, 10, 25, 50

100: 1, 2, 4, 5, 10, 20, 25, 50, 100

Reduce possibilities to only common factors

25: 1, 5, 25

50: 1, 5, 25

100: 1, 5, 25

The greatest of these factors is 25

Greatest Common Factor (GCF) = 25

Hope this helps :)

Answer:

10⁵

Step-by-step explanation:

100000 = 10⁵

Answer:

Option B.

Step-by-step explanation:

It is given that,

Number of $1 bills = 5

Number of $5 bills = 4

Number of $10 bills = 6

Number of $20 bills = 3

So,

Total number of bills = 5 + 4 + 6 + 3 = 18

We need to find the probability of a 1 then a ten (without replacement).

Probability of selecting $1 bill in first draw [tex]=\dfrac{5}{18}[/tex]

After one draw, the number of remaining bills is 18 - 1 = 17.

Probability of selecting $10 bill in second draw [tex]=\dfrac{6}{17}[/tex]

The probability of a 1 then a ten is

[tex]P=\dfrac{5}{18}\times \dfrac{6}{17}=\dfrac{5}{51}[/tex]

Therefore, the correct option is B.

Answer:

The game is not fare $4.68

Step-by-step explanation:

brainlist will be welcom :))

Answer:

4

Step-by-step explanation:

Answer: 4

because 2 times 2 is just like 2 plus 2

Answer: x=6

Y=6

Step-by-step explanation:

Using the elimination method

3x+5y=48.....equ1

-3x+5y=12......equ2

Add equation 1 &2

3x+5y=48

+

-3x+5y=12

Answer =

10y=60

Y=60/10

Y=6

Substitute for y in equation 1

3x+5y=48

3x+5(6)=48

3x+30=48

3x=48-30

3x=18

X=18/3

X=6

Therefore,

X= 6

Y= 6

Answer: x=6

Step-by-step explanation:

Let's solve your system of equations by elimination.

3x+5y=48;−3x+5y=12

Steps:

3x+5y=48

−3x+5y=12

Add these equations to eliminate x:

10y=60

Then solve

10y=60

for y:

10y/10=60/10

(Divide both sides by 10)

y=6

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

3x+5y=48

Substitute

6 for y in 3x+5y=48:3x+(5)(6)=48

3x+30=48

(Simplify both sides of the equation)

3x+30+−30=48+−30

(Add -30 to both sides)

3x=18

3x/3=18/3

(Divide both sides by 3)

x=6

So the answer is of option D.

Answer:      0.0025ml

Step-by-step explanation:

The price of one drink is $7.5

The price of one bag of popcorn is $9.25

Step-by-step explanation:

Let us assume,

Emily spends a total of $78.50 on 2 bags of popcorn and 8 drinks.

⇒ 2x + 8y = 78.5  -------(1)

Lydia spends a total of $89.50 on 4 bags of popcorn and 7 drinks.

⇒ 4x + 7y = 89.5  --------(2)

To solve for x and y values :

Multiply eq (1) by 2 and subtract eq (2) from eq (1),

  4x + 16y = 157

- (4x + 7y = 89.5)

        9y = 67.5

⇒ y = 67.5/9

⇒ y = 7.5

∴ The price of one drink is $7.5

Substitute y = 7.5 in eq (1),

⇒ 2x + 8(7.5) = 78.5

⇒ 2x + 60 = 78.5

⇒ 2x = 78.5 - 60

⇒ 2x = 18.5

⇒ x = 18.5/2

⇒ x = 9.25

∴ The price of one bag of popcorn is $9.25

Answer:4

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Since OCB forms a right triangle, you can find the length of side OB and therefore the radius by simply using the pythagorean theorem. The first step is to note that, since AB=24 and OC bisects that, that both CB and AC have length 12. Therefore, the radius is [tex]BO=\sqrt{12^2+5^2}=13[/tex]. Hope this helps!