Five friends take a maths test

Adam, Brandon, Chen together together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks

What are their individual scores

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Explanation:

Use your calculator to convert each fraction into decimal form

2/3 = 0.67 approximately

3/4 = 0.75 exact

The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".

So 0.67 < 0.75 which leads to 2/3 < 3/4.

Aryan spent more time exercising.

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We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get

3/4 - 2/3

9/12 - 8/12

(9-8)/12

1/12

Aryan spent 1/12 of an hour longer exercising compared to Naitik

1/12 hour = (1/12)*60 = 60/12 = 5 minutes

He spent 5 extra minutes exercising.

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Notes:

Step-by-step explanation:

always begin any problem by writing what you know

circumference is

u = 2 pi r

1)

u=3.14

r=?

3.14 = 2 pi r

Solve for r

the rest of the problems you just plug the numbers into the formula

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Answer:

4x^2+20x+25

Step-by-step explanation:

(2x+5)^2 = (2x+5) (2x+5)

Using the foil method : 2x(2x) = 4x^2

(2x) (5) = 10x

(2x) (5) = 10x

5 (5) = 25

Combine like terms

Answer:

Step-by-step explanation:

Answer:

B. By personal experimentation and testing

Step-by-step explanation:

Given:

In triangle EFG, [tex]EF=10\sqrt{2}, m\angle G=90^\circ,m\angle E=60^\circ[/tex].

To find:

The measures of FG, EG and angle F.

Solution:

In triangle EFG,

[tex]m\angle E+m\angle F+m\angle G=180^\circ[/tex]           [Angle sum property]

[tex]60^\circ+m\angle F+90^\circ=180^\circ[/tex]

[tex]m\angle F+150^\circ=180^\circ[/tex]

[tex]m\angle F=180^\circ-150^\circ[/tex]

[tex]m\angle F=30^\circ[/tex]

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin E=\dfrac{FG}{EF}[/tex]

[tex]\sin (60^\circ)=\dfrac{FG}{10\sqrt{2}}[/tex]

[tex]\dfrac{\sqrt{3}}{2}\times 10\sqrt{2}=FG[/tex]

[tex]5\sqrt{6}=FG[/tex]

Similarly,

[tex]\sin F=\dfrac{EG}{EF}[/tex]

[tex]\sin (30^\circ)=\dfrac{EG}{10\sqrt{2}}[/tex]

[tex]\dfrac{1}{2}\times 10\sqrt{2}=EG[/tex]

[tex]5\sqrt{2}=EG[/tex]

Therefore, the required measures are [tex]FG=5\sqrt{6}, EG=5\sqrt{2}, m\angle F=30^\circ[/tex].

Answer:

Over 300 students did not support start time after 8:00am

Step-by-step explanation:

Given

[tex]N = 600[/tex] --- population

[tex]n = 40[/tex] --- sample

See attachment for dataset

Required [True/False]

Over 300  wants start time after 8:00am

First, we calculate the number of samples that wants start time after 8:00am

[tex]x = 8:30am\ start + 9:00am\ start[/tex]

For sample 1

[tex]x_1 = 18[/tex]

The corresponding value of x1 in the overall population is:

[tex]X_1 = \frac{x_1}{n} * N[/tex]

[tex]X_1 = \frac{18}{40} * 600[/tex]

[tex]X_1 = \frac{18 * 600}{40}[/tex]

[tex]X_1 = \frac{10800}{40}[/tex]

[tex]X_1 = 270[/tex]

For sample 2

[tex]x_2 = 19[/tex]

The corresponding value of x2 in the overall population is:

[tex]X_2 = \frac{x_2}{n} * N[/tex]

[tex]X_2 = \frac{19}{40} * 600[/tex]

[tex]X_2 = \frac{19* 600}{40}[/tex]

[tex]X_2 = \frac{11400}{40}[/tex]

[tex]X_2 = 285[/tex]

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00am

None of X1 and X2 is greater than 300. so, over 300 students did not support start time after 8:00 am.

The population is 600 and the sample is 40.

The population of inference refers to the population (or universe) to which the results from a sample survey are meant to generalize.

Over 300 students did not support start time after 8:00 am

For sample 1

[tex]\rm x_{1} =18\\[/tex]

The corresponding value of x1 in the overall population is:

[tex]\rm X_{1} =\frac{x_{1} }{n} \times N\\\rm X_{1} =\frac{18}{40} \times 600\\\rm X_{1} =\frac{10800}{40}\\ \rm X_{1} =270\\[/tex]

For sample 2

[tex]\rm x_{2} =19[/tex]

The corresponding value of x2 in the overall population is:

[tex]\rm X_{2} =\frac{x_{2} }{n} \times N\\\rm X_{2} =\frac{19}{40} \times 600\\\rm X_{2} =\frac{11400}{40}\\ \rm X_{2} =285\\[/tex]

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00 am.

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Answer: D, All of the above

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

hi rashi thanks for me ok bye

Answer:

Area of the figure = 25.7 units²

Step-by-step explanation:

Area of the given figure = Area of rectangle ABCD - Area of the semicircle with diameter CD

Area of the rectangle ABCD = Length × Width

                                               = BC × AB

                                               = 8 × 4

                                                = 32 units²

Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Here, r = radius of the semicircle

r = [tex]\frac{\text{Diameter}}{2}[/tex]

r = [tex]\frac{1}{2}(CD)[/tex]

r = [tex]\frac{4}{2}[/tex]

r = 2 units

Therefore, area of the semicircle = [tex]\frac{1}{2}\pi (2)^2[/tex]

                                                       = 2π

                                                       = 6.28 units²

Area of the given figure = 32 - 6.28

                                         = 25.72 units²

                                         ≈ 25.7 units²

Answer:

16units is the correct answer

Answer:

y=2x-1

Step-by-step explanation:

A line that is perpendicular has a slope that is a negative reciprocal of the given equation. The slope of the given equation is -1/2, so the negative reciprocal would be 2.

Then, using slope-intercept form, plug in the point values (2,3) into the equation and solve for b.

y=mx+b

y=2x+b

3=2(2)+b

-1=b

Therefore the equation is y=2x-1

Answer:

Fraction form: 1/4

Exponential form: 2^-2

Expanded form: 1/4 (Not sure if thats correct)

Step-by-step explanation:

Answer:

Its 1/4 he was right

Step-by-step explanation:

Answer: the answer would be A.

(x-1)(x-6)(x+6)

Step-by-step explanation:

a p e x

The LCD of the given expression is (x-1)(x-6)(x+6).

What is LCD?

The least common denominator (LCD) is the smallest number or expression that can be a common denominator for a set of fractions.

What is the LCD in the given expression?

Factor the denominator of the right side of the equation.

[tex]\frac{9}{x-1}-\frac{3x}{x+6}=\frac{4x}{(x-1)(x-6)}[/tex]

From this, it is conclude that the common denominator will be [tex](x-1)(x-6)(x+1)[/tex].

Therefore, the LCD of the given expression is (x-1)(x-6)(x+6).

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Answer:

c???

Step-by-step explanation:

Answer:

8.2 x 10^1

Step-by-step explanation:

Answer:

the diameter: 17inches

so the radius is: 8.5 inches

the formula for calculating a circle's area:

r×r×π

so:

8.5×8.5×3.14= 226.865

The required to the nearest hundredth, the area of the mirror with the frame is approximately 254.34 square inches.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

We know that the diameter of the mirror with the frame is 17 inches, which means that the radius of the mirror is half of that or 8.5 inches.

To find the area of the mirror with the frame, we need to subtract the area of the frame from the area of the circle. The area of the circle is:

[tex]A_{circle} = \pi r^2A_{circle} = 3.14 \times (8.5)^2A_{circle} \approx 226.98\ \ \ square inches[/tex]

To find the area of the frame, we need to subtract the area of the inner circle (the mirror) from the area of the outer circle (the frame). The radius of the inner circle is 8.5 inches, and the radius of the outer circle is half of the diameter of the mirror, or 8.5 + (1/2) = 9 inches.

The area of the frame is:

[tex]A_{{frame}} = \pi (9^2) - \pi (8.5^2)A_{frame} = 3.14 \times (81 - 72.25)A_{frame} \approx27.36 \ \ \ square inches[/tex]

Now we can find the area of the mirror with the frame by adding the area of the circle and the area of the frame:

[tex]A_{mirror\ with \ frame} = A_{circle} + A_{frame}A_{mirror\ with \ frame} \approx 226.98 + 27.36A_{mirror\ with \ frame} \aprrox 254.34 \ \ \ square inches[/tex]

Therefore, to the nearest hundredth, the area of the mirror with the frame is approximately 254.34 square inches.

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Answer:

19-x

the expression that show how many bacon pancakes Mackenzie is 19 - x

Answer:

-11/12

Step-by-step explanation:

First add the numerator

5/8 + 3/4

Get a common denominator

5/8 + 3/4*2/2

5/8 + 6/8

11/8

Then subtract the denominator

-2/3  - 5/6

-2/3 *2/2   -5/6

-4/6 - 5/6

-9/6

Then divide

11/8 ÷ -9/6

Copy  dot flip

11/8 * -6/9

Simplify

11/8 * -2/3

11/3 * -2/8

11/3 * -1/4

-11/12

Answer:12/30

Step-by-step explanation:

Total apple =6

Yellow apples = 4

4/6

3/5

(4/6)*(3/5)= 12/30

Step-by-step explanation:

first description must be given to the questions

Answer:

(-3)^8

Step-by-step explanation:

Answer:

91 minutes

Step-by-step explanation:

1 hour= 60 minutes.

31 minutes + 60 minutes = 91 minutes.

If this helps please mark as brainliest

Answer:

91 minutes

Step-by-step explanation:

1 hour = 60 minutes

60 + 31 = 91 minutes

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

MR = MN+NP+PQ+QR

MN=4 and MN≡QR so QR=4

PQ=6 and PQ≡NP so NP=6

MR = 4+6+6+4 = 20

Answer:

Step-by-step explanation:

It is C

Answer: C- 303

Step-by-step explanation:

The line y = 7 − x has a slope(m) of - 1 and y-intercept b is 7.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, an equation of a line y = 7 - x.

We can rearrange this in the form of slope-intercept form which is

y = mx + b.

y = - x + 7.

y = (-1)x + 7.

The slope (m) of this line is - 1 and the y-intercept(b) is 7.

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Answer:

Deduction is inference deriving logical conclusions from premises known or assumed to be true, with the laws of valid inference being studied in logic. Induction is inference from particular premises to a universal conclusion.

Step-by-step explanation:

Your answer would be option three,  y = 1/3 x -9 :)