32. Ethan cycled from home for r km at 9 km/h to the MRT station. He waited for 3 minutes before catching
the next MRT train. The MRT train travelled at an average speed of 60 km/h. He walked for
2
km at an
Average speed of 6 km/h before reaching his school. The distance from his home to the school by the
above route is 12 km and the total time he spent is 28 minutes.
(Express, in terms of the time he spent cycling from home to the MRT station.
(ii) Find the distance he travelled on the MRT train.
(ii) Form an equation in and solve it.

Answer:

1. 89/112     2. 32/39

Step-by-step explanation:

Answer:

6 2/3

Step-by-step explanation:

Rectangle has four sides. The total weight of the circle is 20 grams.

A rectangle is a 2D shape that has four sides, and the pair of opposite sides are equal and parallel to each other.

As it is given that the weight of the rectangle is 80 grams, and a rectangle is made up of two triangles. Therefore, the weight of each triangle can be written as,

[tex]\text{Weight of the reactangle} = \dfrac{\text{Total weight of the reactangle}}{\text{Number of Triangles}}[/tex]

[tex]\text{Weight of the reactangle} = \dfrac{80}{2} = 40\rm\ grams[/tex]

It is given that the total weight of the triangle is double the weight of the circle. therefore, the relationship can be written as,

[tex]\text{Weight of the triangle} = 2 \times \text{Weight of the circle}[/tex]

[tex]40= 2 \times \text{Weight of the circle}\\\\\text{Weight of the circle} = 20\rm\ grams[/tex]

Hence, the total weight of the circle is 20 grams.

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Answer:

Number 3: The answer is 31.8

Number 4: I got about 9.49ft as the answer.

Step-by-step explanation:

a^2 + b^2 = c^2

so 13^2 = 169

29^2 = 841

841+169 = 1010

the square root of 1010 is about 31.8

I did the exact same thing for the second one just using different numbers, 3 and 9 (as shown in the picture).

Answer:

B

Step-by-step explanation:

=> 4a - 7 < 2a + 1

=> 4a - 2a < 1 + 7

=> 2a < 8

=> a < 8/2

=> a < 4

( option B )

Answer:

Answer:

Step-by-step explanation:

37+82=x(sum of two interior opposite angles is equal to the exterior angle formed)

119=x

therefore x=119 degree

Answer:

Step-by-step explanation:

-6x-5>4(x-1)+3

-6x>4(x-1)+8

-6x>4x-4+8

-6x>4x+4

-10x>4

-x>.4

x<-1

Step-by-step explanation:

-1.4 or - 14/10

-1.3 or -13/10

-1.2 or -12/10

-1.1 or -11/10

-1.0 or -1/1

Answer:

Thats not a full question

Step-by-step explanation:

Step-by-step explanation:

success

:)

.................

My first answer to this question was p<3/34 and I was wrong.

The answer really is p<12/25

Hope this helped God bless you! ❤️

Answer:

B. 3(12 - x) = 6

Step-by-step explanation:

3(20 - 10) = 44

3(10) = 44

30 < 44

3(12 - 10) = 6

3(2) = 6

6 = 6

2(10) + 3 = 25

20 + 3 = 25

23 < 25

2(10) - 3 = 22

20 - 3 = 22

17 < 22

Answer:

B

Step-by-step explanation:

In △JKL, segment LK is the leg opposite ∠J and segment JL is the leg adjacent to ∠J. Option B is correct.

∠J refers to angle J, which is one of the angles of the triangle △JKL.

In a triangle, the legs are the two sides that form the angle of interest.

In this case, we are interested in ∠J, so the legs are the two sides that form this angle.

The leg opposite ∠J is the side of the triangle that is not part of forming the angle ∠J or it is the side that is directly across from ∠J. In the given triangle △JKL, segment KL is the side opposite ∠J.

The leg adjacent to ∠J is the side of the triangle that is one of the two sides forming the angle ∠J.

In the given triangle △JKL, segment LJ is one of the sides that forms ∠J and is thus the leg adjacent to ∠J.

Hence, In △JKL, segment LK is the leg opposite ∠J and segment JL is the leg adjacent to ∠J. Option B is correct.

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Complete question:

In △JKL, _______ is the leg opposite ∠J and _______ is the leg adjacent to ∠J.

(A) segment LK; segment JK

(B) segment LK; segment JL

(C) segment JL; segment JK

(D) segment JK; segment LK

[tex](2x - 5)( - {3x}^{2} + 4x - 7) \\ - {6x}^{3} + {8x}^{2} - 14x + {15x}^{2} - 20x + 35 \\ - {6x}^{3} + {8x}^{2} + {15x}^{2} - 14x - 20x + 35 \\ - {6x}^{3} + {23x}^{2} - 34x + 35[/tex]

Answer:

-6x^3 + 23x^2 - 34x + 35.

Step-by-step explanation:

(2x - 5) (-3x^2 + 4x - 7)

= 2x(-3x^2 + 4x - 7) - 5(-3x^2 + 4x - 7)

= -6x^3 + 8x^2 - 14x + 15x^2 - 20x + 35

= -6x^3 + 23x^2 - 34x + 35.

The distance between x and y on a number line will be,

⇒ |y - x|

Option B is true.

What is Number system?

A system of writing to express the number is called number system.

Given that;

x and y are two number on number line.

Now,

Since, Distance between x and y is always positive.

And, Distance between x and y is calculated as;

⇒ |y - x|

Thus, The distance between x and y on a number line will be,

⇒ |y - x|

Option B is true.

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Answer:

You find the surface area with:

10*2+10*2+4*2+4*2+2*2+2*2+4*7+4*7+4*4+4*4 or in short 152 in^2.

Answer:

B

Step-by-step explanation:

x2 + x -6 = (x-2)(x+3)

x = 2, -3

Answer:

x = 103⁰

Step-by-step explanation:

127+40+90+x = 360⁰

257+x = 360⁰

x = 360⁰- 257⁰

x= 103⁰

Answer:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

Step-by-step explanation:

remove parentheses:

[tex] \displaystyle x + 7y = 6x - \frac{2}{3} [/tex]

move x to left hand side and y to right hand side and change its sign:

[tex] \displaystyle x - 6x = -7y - \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle - 5x = \frac{-21y - 2}{3} [/tex]

divide both sides by -5:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

move x to the right hand side and change its sign:

[tex] \displaystyle 7y = 6x - x- \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle 7y =5x- \frac{2}{3} [/tex]

simplify substraction:

[tex] \displaystyle 7y = \frac{15x - 2}{3} [/tex]

divide both sides by 7:

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

and we are done!

Answer:

262144

Step-by-step explanation:

The sequence increases by a multiple of -4

Therefore, you can either do 4⁹ or you can multiply by -4 until you have done that 9 times

Answer:

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {6}^{2} + {7}^{2} = {c}^{2} \\ 36 + 49 = {c}^{2} \\ 85 = {c}^{2} \\ \sqrt{85} = \sqrt{ {c}^{2} } \\ 9.21954 = c \\ c≈9 \\ [/tex]

Answer:

b ata.....

Step-by-step explanation:

no explanation

Answer:

radius=28cm/2

=14 cm

circumference of the wheel=2πr

=2×22/7×14

=88 cm

answer is option D

Answer:

Answer is C.

Step-by-step explanation:

8÷8= 1

1 whole

Answer:

Step-by-step explanation:

Answer:

1 question

Step-by-step explanation:

There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points.

Total number of correct answers = 20 Questions × 7 points = 140 points

Total number of wrong answer = -4 × 20 questions = -80 points

We are told that:

Eric took the quiz and scored 100 points.

Therefore, the number of questions he left blank is 1 question