Tandem Cycling Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5 km from home and their walking speed is 4 kilometres per hour. a On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Reeta when the cyclists arrive home? b On Tuesday, Peter and Reeta ride the bike and Nikita walks. When the cyclists arrive home, Peter hops off the bike and Reeta rides back towards school to collect Nikita. How far from school is Nikita when Reeta reaches her? c On Wednesday, Reeta and Nikita take the bike and Peter walks. When the cyclists are halfway home, Reeta off and walks the rest of the way, while Nikita heads back to pick up Peter. How far from school is Reeta when her siblings pass her on the bike? d On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home. Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off and pick-up points?

Answer:

128

Step-by-step explanation:

As they have added the same shape onto the top of the rectangle as they have taken away from the bottom, just do 16x8.

Answer:

Move the decimal point in 70.91 three places to the right

 so that it becomes 70910.

Answer:

18 quarters = $4.50

8.00-4.50=3.50

10 dimes+10 quarters=$3.50

Answer= you have 10 dimes and 28 quarters

Step-by-step explanation:

Answer:

You would have 18 quarters and 35 dimes

Step-by-step explanation:

If Lacey starts baking her cookies right away, then the time is taken for her to have made as many cookies as Clay will be 1.5 hours.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Clay and his friend Lacey are making cookies for the school dance.

Clay started early and has already made 3 dozen cookies.

He can make an additional 2 dozen cookies an hour.

Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour.

Let y be the number of the cookies (in dozen) and x be the number of the hours.

Then the equations will be

y = 2x + 3 ...1

y = 4x       ...2

If Lacey starts baking her cookies right away, then the time taken for her to have made as many cookies as Clay will be

From equations 1 and 2, we have

2x + 3 = 4x

     2x = 3

       x = 1.5

Then the number of hours will be 1.5 hours.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:

C and D

Step-by-step explanation:

C). With the X right by the 100 means that it could be anything there, so you would put a 3 at the end so then 100 x 3 = 300.
D). The value is already 300 so no need to do work there.

Using Multiplication, 100 × 3 is this expressions could be the one daisy estimated.

Multiplication is an "operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers".

According to the question.

Daisy estimated a certain expression to have a value is 300 using Multiplication we have,

100 × x =300

x = 300/100

x = 3.

Hence, 100 × 3 is this expressions could be the one daisy estimated using Multiplication.

Learn more about  Multiplication here

https://brainly.com/question/14821945

#SPJ2

Answer:

sooo i  think, it  is

Step-by-step explanation:    it screen shot cause i worked it out on my computer !

Answer:

-2x-2

For a line equation for the form of y = mx +b, the slope is m

m= -2

The function has no undefined points nor domain

constraints. There fore, the domain is

domain: -∞<x<∞

The range of polynomial with odd degrees is all the real numbers

range: -∞<f(x)<∞

Step-by-step explanation:

graph is inserted

Answer:

9.2

Step-by-step explanation:

Find the coordinates and plug em into the equation. (-5,5) (1,-2)

Square root 85 is 9.2.

Answer:

9.2 (if rounded to the nearest tenth)

Answer:

∠S = 19°

Step-by-step explanation:

Since all angles in a triangle add up to 180°, we must first find how much is left.

180 - 142 = 38

And since we know that the two lines are congruent, we know that the two other angles will be the same. So we divide the remaining by 2

38 ÷ 2 = 19

So both other angles are 19° meaning that ∠S is 19°

Hope this was helpful!

Answer: m∠S = 19°

Step-by-step explanation:

    We know the angles of a triangle add up to 180° (and if you don't, you do now)

-> We are given one angle, 142°

-> We are given the fact this is an isosceles triangle, or one with two congruent sides

    [] This means the other two angles are congruent

-> Taking this information, we will set up an equation to solve for x

180° = 142° + 2x°

38° = 2x

19° = x

x = 19°

x = m∠S, so m∠S = 19°

          m∠S = 19°

Answer:

This is prime.

No factors.

Step-by-step explanation:

The volume of the solid that results, when the region enclosed by the curves, is revolved about the x-axis is 3.35 cubic units.

When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.

The function is given below.

y = - x² + 1

y = 0

Then the volume of the solid will be

[tex]\rm Volume = 2\int \pi y^2 dx\\\\\\Volume = 2 \int _0^1 \pi (-x^2 + 1)^2 dx\\\\\\Volume = 2 \pi \int _0^1 (x^4 - 2x^2 + 1)dx\\\\\\Volume = 2 \pi \left [ \dfrac{x^5}{5} - \dfrac{2x^3}{3} + x \right]^1_0\\\\\\[/tex]

On solving further, we have

Volume = 2π [(1/5 - 2/3 + 1) - 0]

Volume = 2π [8/15]

Volume = 3.35

Then the volume of the solid will be 3.35 cubic units.

Learn more about solid of revolution here:

https://brainly.com/question/338504

#SPJ1

There is a constant of proportionality between the two purchases and each book costs $4.99.

A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.

In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.

In this case, the constant of proportionality [tex]k[/tex] will relate the number of books bought [tex]N[/tex] and their cost [tex]C[/tex] in the following way:

[tex]C=k*N[/tex]

So k is the price per book.

For the 12 books:

[tex]k=\frac{59.88}{12}[/tex]

[tex]k=4.99[/tex]

And for the 21 books:

[tex]k=\frac{104.79}{21}[/tex]

[tex]k=4.99[/tex]

The constant [tex]k[/tex] for the two purchases is the same, thus there is a constant of proportionality between the two purchases and each book costs $4.99.

Answer:

false

Step-by-step explanation:

She should fart 10 times

I tried my best!!!! Hope this helps :D

========================================================

Explanation:

Check out the diagram below.

Use the Pythagorean Theorem to find the length of c.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{(6.3)^2 + (6.3)^2}\\\\c = \sqrt{39.69+39.69}\\\\c = \sqrt{79.38}\\\\c \approx 8.9095\\\\c \approx 8.9\\\\[/tex]

The distance from one corner to the opposite corner is about 8.9 inches.

Answer:

50 = 3.85 + 10.5m

Step-by-step explanation:

50 = Total

m= months

A one time payment can be deducted immediately, then the remaining amount should be divided by the price per month.

Answer:

c

Step-by-step explanation:

2.34 to 3.34 is 1hr

3.34 plus half an hour is 4.04 plus 13 mins

Answer:

linear is correct

Step-by-step explanation:

4000 Bahrain Dinar as Pounds.

let the unknown be "x"

we'll have to do cross multiplication.

[tex] \frac{1}{4000} \times \frac{2.13}{x} [/tex]

so now,

[tex]x = 4000 \times 2.13[/tex]

[tex]\large\boxed{\sf{£ 8520}}[/tex]

Therefore, 4000 Bahrain Dinar is £ 8520

Answer to your question is:

£ 8520

hope this helps!

Answer:

(4+5) ÷ 3 + 6 x 5

Step-by-step explanation:

pemdas

Answer:

hi,as u promise,lets go!!

a)1min=30w

x=400w

b)1min=30w

x=400w

1min×400w=x×30w

400w min=x×30w

30w 30w

x= 13mins and 3 sec.

c)1min=30w

10 min=x.

d)1min=30w

10min=x

1min×x=10min×30w

1min ×x = 300wm

1min 1min

x=300words.

Answer:

a.) 1:30 :: x:400

b.) About 13 minutes and 35 seconds

c.) 1:30 :: 10:x

d.) 300 words

Step-by-step explanation:

a.) 1 = minute 30 = words typed in that minute 400=words typed x=minutes

b.) 400 / 30 = 13.3

c.) 1 = minute 30 = words typed in that minute x=words typed 10=minutes

d.) 10 x 30 = 300

Answer:

the answer is 2000 so yea

Step-by-step explanation:

when we divide something equally among n people, it means we divide it equally into n parts, and every part is 1/n or 1 nth.

so, for six people or parts, everybody got 1/6 or 1 sixth of the cake.

Answer:

it 5

Step-by-step explanation:

Answer:

c) 18 cm²

d) 30 cm²

Step-by-step explanation:

c)

You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.

Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.

area of triangle = bh/2

shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2

shaded area = 24 cm² - 6 cm²

shaded area = 18 cm²

Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.

area of trapezoid = (B + b)h/2

shaded area = (6 cm + 3 cm)(4 cm)/2

shaded area = (9 cm)(4 cm)/2

shaded area = 18 cm²

d)

The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.

area of rectangle = length × width

area of triangle = bh/2

shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2

shaded area = 48 cm² - 18 cm²

shaded area = 30 cm²

Answer:

1.cosx×cscx

=cosx×1/sinx

=cosx/sinx

=cotx

2.cotx×secx×sinx

=1/tanx×1/cosx×sinx

=1/tanx×sinx/cosx

=1/tanx×tanx

=1

hope it helps you