sophie leaves school and travels east at an average speed of 40km/h, jenny leaves school one hour later and travels west at an average speed of 50km/h, determine how many hours after jenny leaves school they will be "400km" apart

Answers

Answer 1

Considering the speeds given, it is expected Sophie and Jenny are 400 km apart after a total of 5 hours.

How will their position change over time?

Jenny:

1 hour later:  40 km east2 hours later: 80 km east3 hours later: 120 km east4 hours later: 160 km east5 hours later: 200 km east

Sophie:

1 hours later: 0 km2 hours later: 50 km west3 hours later: 100 km west4 hours later: 150 km west5 hours later: 200 km west

When wil they be 400 km apart?

It is expected 5 hours later they are 400km apart because at this time each of them will be 200km away from school.

Learn more about kilometers in: https://brainly.com/question/13987481

#SPJ1


Related Questions

darlene can finish an average-sized crocheted centerpiece for 2 week how many days will it take her to finish 4 projects?

Answers

Given that, Darlene can finish an average-sized crocheted centerpiece for 2 week, the number of days it will take her to finish 4 projects is  56 days.

How many days will it take Darlene to finish 4 projects?

Given that;

Darlene can finish an average-sized crocheted centerpiece in 2 week = ( 2 × 7)days = 14 dayshow many days will it take her to finish 4 projects?

If 1 project takes 14 days

4 project takes x days

x = 4 × 14 days

x  = 56 days

Given that, Darlene can finish an average-sized crocheted centerpiece for 2 week, the number of days it will take her to finish 4 projects is  56 days.

Learn more word problems here: brainly.com/question/2610134

#SPJ1

What would happen if Bees were to disappear (impacts) this is horticulture btw

Answers

Answer:If bees disappeared completely, the biodiversity of our planet would be greatly affected, depriving us of various plant species we eat and leading to the disappearance of thousands of species of plants, flowers and fruit trees, as well as honey.

Step-by-step explanation:

b)
Find the measurements of a rectangle with a perimeter of
26cm and an
area of 40 cm?

Answers

Answer:

L=8cm W=5cm

Step-by-step explanation:

8+8=16

5+5=10

10+16=26cm

5x8=40cm

ark. (iv). 2(x-3)-3(5x-2) ≤ 6(3-2x)

[tex]2( \times - 3) - 3(5 \times - 2) \leqslant 6(3 - 2x)[/tex]

Answers

Answer:

x ≥ 18

Step-by-step explanation:

2(x-3)-3(5x-2) ≤ 6(3-2x)

⇔ 2x - 6 - 15x + 6 ≤ 18 - 12x

⇔ 2x - 15x  ≤ 18 - 12x

⇔ -13x ≤ 18 - 12x

⇔ -13x + 12x ≤ 18

⇔ -x ≤ 18

⇔ x ≥ 18

⇔ x∈[18 , ∞)

Find the value of 8!.

Answers

Hey there!

8!

= 8(7)(6)(5)(4)(3)(2)(1)

= 56(6)(5)(4)(3)(2)(1)

= 336(5)(4)(3)(2)(1)

= 1,680(4)(3)(2)(1)

= 6,720(3)(2)(1)

= 20,160(2)(1)

= 40,320(1)

= 40,320


Therefore, the answer should be:

40,320

Good luck on your assignment and enjoy your day!


~Amphitrite1040:)

Can someone help me with this?

Answers

Answer:

88.0 in^3 to nearest tenth.

Step-by-step explanation:

The radius = 1/2 diameter

= 11/2 * 4 = 2 ins,

The Volume = πr^2 h

= π * 2^2 * 7

= 87.96 in^3.

Answer:

87.9 in³ OR 88.0 in³

Step-by-step explanation:

Concepts

The volume of a cylinder is [tex]\pi r^2h[/tex], where r = radius and h = height.

The radius is twice the diameter.

Application

We are given the diameter as 4 inches, so the radius is 2 inches. The height of the cylinder is 7 inches. Now, we just apply our aforementioned formula and plug in its values of r and h. Since I don't know if you're using pi as 3.14 or just using the exact value of pi, I have provided two different answers at the top.

Solution

1:

[tex]3.14*2^2*7[/tex] [tex]3.14*4*7[/tex] [tex]3.14*28[/tex] [tex]87.92[/tex] [tex]87.9[/tex]

2:

[tex]\pi *2^2*7[/tex] [tex]\pi *4*7[/tex] [tex]28\pi[/tex] [tex]87.9645943005...[/tex] [tex]88.0[/tex]

4/5(x+7)=20 I cant find it pls help :(

Answers

x=18

45(x+7)=2045(+7)=204(x+7)5=204(+7)5=20
Answer: x = 18

Step-by-Step Explanation:

=> 4/5(x + 7) = 20
4/5 * x + 4/5 * 7 = 20
4x/5 + 28/5 = 20
4x + 28 = 20 * 5
4x + 28 = 100
4x = 100 - 28
4x = 72
=> x = 72/4 = 18

Therefore, x = 18


please help with this kenkenpuzzle

Answers

Answer:

it's a bit hard to see in green.

1. Truncate the following numbers to the unit:
a) 25
b) 76
c) 10

Answers

Answer:

1 Truncation

Truncation is a method of approximating numbers. It is easier than rounding, but does not always give the best approximation to the original number. Truncation is used in computing when division is done with integers and the answer must be an integer.

Step-by-step explanation:

Find the equation of this line.
[ ?
y =
x + []

Answers

Answer:

y = 1/3x + 1

Step-by-step explanation:

Answer:[tex]y = \frac{1}{3}x +1[/tex]

Step-by-step explanation:

I can see that one coordinate is (0,1) and another to assume is (-3,0)

With this we can make the equation

Equation format is y = mx + b

b is y-intercept, so when x is 0, y = 1, so b = 1

y = mx + 1

We can substitute (-3,0) into the equation and get 0 = -3m + 1

Solving for m gives us [tex]\frac{-1}{-3} = m[/tex]

so [tex]y = \frac{1}{3}x +1[/tex]

What is the distance between points L(-1,3) and 2(4, -9)

HELP ASAP

Answers

Answer:

13 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (4, - 9 )

d = [tex]\sqrt{(4-(-1))^2+(-9-3)^2}[/tex]

  = [tex]\sqrt{(4+1)^2+(-12)^2}[/tex]

   = [tex]\sqrt{5^2+144}[/tex]

   = [tex]\sqrt{25+144}[/tex]

   = [tex]\sqrt{169}[/tex]

   = 13

Step-by-step explanation:

the other answer is correct.

just a few words about the why :

when you look at 2 points on the coordinate grid, then the distance between them creates a right-angled triangle.

the direct distance is the Hypotenuse (the baseline opposite of the 90° angle).

and the x-coordinate difference and the y-coordinate difference are the legs of that triangle.

and then we can use Pythagoras

c² = a² + b²

c = sqrt(a² + b²)

with c being the Hypotenuse.

and you see, that is exactly the so-called distance formula the other answer used.

How many cubes are needed to fill the prism made by the net?

Answers

16 cubes are needed to fill in the prism mad by the net.

Sure hope this helps you

The first two angles in a triangle are identical and have a sum of 120 degrees. Select the possible names for the triangle from the list below

Answers

Its equilateral triangle

A store sells pool floats.

• The retail price was a 20% markup over the
manufacturer price.
• A month later, the store reduced the retail price
of the pool float by 12%.

What percent markup is the new retail price over the
manufacturer price?

Answers

Step-by-step explanation:

the original retail price was 120% of the manufacturer price (100% manufacturer price + 20% markup).

now, the whole retail price is reduced by 12%.

that means we have to subtract 12% from the 120%.

but careful, we cannot just do 120-12=108.

that is simply because these 120% are now for this calculation the new basic amount and therefore 100%.

we actually need to calculate and subtract 12% of 120 to get the new percentage over the manufacturer price.

we do this by multiplying 120 by (100-12)/100 = 88/100 = 0.88 :

120 × 0.88 = 105.6%

so, the new retail price is now only 5.6% over the manufacturer price.

Cookie jar contains 6 vanilla cookies, 4 chocolate cookies, and 9 lemon cookies.
one cookie is randomly picked from the jar.
find p (a vanilla cookie) =

p (a chocolate or lemon cookie) =

p (not a lemon cookie) =

p (a vanilla or chocolate or lemon) =

p (a peanut butter cookie) =

Answers

p (a vanilla cookie) = 6/19

p (a chocolate or lemon cookie) = 13/19

p (not a lemon cookie) = 10/19

p (a vanilla or chocolate or lemon) = 10/19

p (a peanut butter cookie) = [There's no peanut in the info you gave, sorry]

If you can simplify the fractions, then simplify

In how many ways can 7 people be seated in a row of chairs if two of the people, Wilma and Paul, refuse to sit next to each other

Answers

Answer:

let X be the number of ways they can be seated without condition,

let M the the number of ways they can be seated if the two people must sit together,

let N be the number of ways they can be seated if the two must not sit together.

X=7! =5040

M= 6!× 2!=1440

M+N=X

then N=X–M=50401440=3600ways


B. If one of the data points at 15 were moved to 10, how could you change another data
point to keep the mean the same?

Answers

Answer:

Below.

Step-by-step explanation:

You have a data point 5 to the left.

So you would move another data point 5 units to the right - like for example 14 to 19.

what are the zeros of the function below?
*EXPLANATION NEEDED*
f(x) = (x^2 - 9) (x +1)

A. -1, -3, 3
B. -1, -3, 1
C. -1, 3, 1
D. 1, -3, 3

Answers

If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1. Then the correct option is A.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The function is given below.

[tex]\rm f(x) = (x^2 - 9) (x +1)[/tex]

The function can be written as

[tex]\rm f(x) = (x^2 - 3^2) (x +1)\\\\\rm f(x) = (x - 3)(x+ 3) (x +1)[/tex]

If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ1

What is the value of the expression 9/14÷(−0.6×2)?

Answers

Answer:

-0.72

Step-by-step explanation:

First we must solve what in parenthesis

-0.6 × 2 = -1.2

Now we must convert [tex]\frac{9}{14}[/tex] to a whole number

To do that simply divide 9 by 14 and that come out as

0.64285714285Round to the tenths

= 0.6

Now multiply

-1.2 × 0.6 = -0.72
9/14÷(−0.6×2)

9/14÷ -1.2

9/14÷ -12/10

9/14 • 10/-12

90/-168

= 15/-28

One a 570-mile trip, George spent two more hours on the Interstate than on the highway. He averaged 75 mph on the Interstate and 65 mph on the highway. How many hours did he spend driving on the Interstate

Answers

George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the George spend x hours on the interstate and (x+2) hours on the highway.

570 = 75x + 65(x-2)

570 = 75x + 65x -130

700 = 140x

x = 5 hours

Thus, George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Complete the table of values for function f, and then plot the ordered pairs on the graph.

Answers

Answer:

See picture above

Explanation:

Hope this helps and have a nice day

round 1.36 to the nearest integer

Answers

Answer: Heyaa! ~

1.36 rounded to the nearest integer is 1!

Step-by-step explanation:

Note that the whole number place is one move to the left of the decimal point (if it exists). To round to the nearest whole number (or nearest integer), we use the tenths place to determine whether the whole numbers place rounds up or stays the same.

Step 1: Locate and underline the whole numbers place (1) then look at the digit to the right (3):

Step 2: The digit to the right (3) is 4 or below. So, we replace it by a 0 (zero) to get 1 as the answer.

In short: 1.36 rounded to the nearest whole number is 1.

Hopefully this helps you! ~

Find the area of the trapezoid

Answers

Answer:

A = 7.5 units^2

Step-by-step explanation:

A = (a+b)/2 * h

A and B are both bases of the trapezoid (top and bottom)

H is the height

A is 1

B is 4

H is 3

Plug that into the trapezoid equation and we get

(1+4)/2 * 3 = 7.5 units ^2

Write the equality in the given diagram below

Answers

Answer :

[tex]x < 2[/tex]

The pyramid of the sun in mexico is a square pyramid. the base edge is approximately 220 meters, and the height is approximately 70 meters. what is the approximate surface area of the sides of the pyramid to the nearest thousand square meters? the lateral surface area is about .

Answers

The lateral surface area is about 105,600 meters.

What is lateral area of ​​a pyramid?

The area of ​​the pyramid is the measure relative to its surface and is obtained by the sum of the areas of the bases (polygonals) and of all the lateral faces (triangles). For the calculation of the lateral area of ​​a pyramid, we will have the perimeter of the base by the inclined height of the pyramid.

In this case, the formula of the lateral surface area is:

[tex]SA=\frac{P*S}{2}+B[/tex]

Where:

P= perimeter of baseS= slant heightB= area of base

The height informed will not be used, it will only be a parameter to perform pythagoras, that is, we will find the hypotenuse of the triangle created by the height, like this:

[tex]S=\sqrt{(B)^2/2+H^2} \\S=\sqrt{110^2+70^2}\\S=\sqrt{17,000}\\ S=130[/tex]

Returning to the formula given above, we find that:

[tex]SA= \frac{(220*4)(130)}{2}+(220*220)\\ SA= 57,200+48,400= 105,600 \ meters[/tex]

See more about lateral area of ​​a pyramid brainly.com/question/9953526

#SPJ4

Which scatter plot shows no association between the variables?

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

There seems to be no strong correlation for scatter plot B.

Hope this helps:) Goodluck!

elijah run 68 yards in a 100 yd how many more yards does she have to run what is the answer

Answers

Answer:

32

100-68=32

Step-by-step explanation:

How many real solutions if any, does 2x^2-3x+8=0​

Answers

Answer:

The quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] has no real solution.

Step-by-step explanation:

Rewrite the quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] in the standard form [tex]a\, x^{2} + b\, x + c = 0[/tex]:

[tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex], for which:

[tex]a = 2[/tex].[tex]b = (-3)[/tex].[tex]c = 8[/tex].

The quadratic discriminant of [tex]a\, x^{2} + b\, x + c = 0[/tex] is [tex](b^{2} - 4\, a\, c)[/tex].  The quadratic discriminant of [tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex] would be:

[tex]\begin{aligned}& b^{2} - 4\, a\, c \\ =\; & (-3)^{2} - 4 \times 2 \times 8 \\ =\; & (-55)\end{aligned}[/tex].

Since the quadratic discriminant of this equation is negative, this quadratic equation has no real solution.

What is the diameter of the circle (x + 25/4)² + y² = 25?

Answers

Answer:

  10 units

Step-by-step explanation:

Compare the given equation to the standard-form equation for a circle to identify the relevant dimension.

The equation of a circle is written in standard form as ...

  (x -h)² +(y -k)² = r² . . . . . . . centered at (h, k) with radius r

__

Comparing this to what you are given, you see that ...

  h = -25/4

  k = 0

  r² = 25

The radius is ...

  r = √25 = 5

The diameter is twice the radius, so is ...

  d = 2r = 2(5)

  d = 10

The diameter of the circle is 10 units.

What is the area of the parallelogram? Explain your reasoning.

Answers

Answer:

multiply the base of the perpendicular by its height

Step-by-step explanation:

It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.

Other Questions
Three principles of training that should be followed in developing your personal fitness program are?. Kyle is considering a 7/1 ARM. What does 7 represent? theres 2 parts i need a awnser and i need to you to show your work please!!! WILL GIVE BRAINLIST!!!!!!!!! Explain how miller conveys a major theme of the play through the resolution of proctors moral dilemma about whether to confess. support your response with evidence from the text The magnetic field lines of a bar magnet spread out from theA. north end to the south end.B. south end to the north end.C. edges to the center.D. center to the edges. True or False: Contractions of smooth muscles are voluntary. It happens with your control. Find the real solution(s) of the following equation. t3 = 343 G(X)Graph the function.g(x) 1/2 x 2 A random sample of n 1 = 249 people who live in a city were selected and 87 identified as a democrat. a random sample of n 2 = 113 people who live in a rural area were selected and 58 identified as a democrat. find the 98% confidence interval for the difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat. 4. (x + 4)2 + (y 5)2 = 25Center:Radius: A copper atom has an atomic number of 29 and an atomic mass of 64. Whatis the structure of this atom?OA. It has a central nucleus composed of 29 protons and 64 neutrons,surrounded by an electron cloud containing 29 electrons.B. It has a central nucleus composed of 29 protons and 35 neutrons,surrounded by an electron cloud containing 29 electrons.OC. It has a central nucleus composed of 29 protons and 29 neutrons,surrounded by an electron cloud containing 35 electrons.D. It has a central nucleus composed of 35 protons and 29 neutrons,surrounded by an electron cloud containing 29 electrons. Discuss three factors influencing the current eating habits of young people which could contribute to obesity in which tropical country was the film castaway mostly shot? The contingency table below shows the results of a random sample of 400 statethat was conducted to see whether their opinions on a bill arerepresentativesrelated to their party affiliation.OpinionPartyApproveDisapproveTotalsNoOpinionRepublican844028152Democrat1004836184Independent20321264Totals:20412076400What is the expected frequency for the cell E3,1? Round your answer to thenearest tenth.32.645.328.938.3 Why doesnt friar laurence stay in the tomb with juliet after she awakens?. For the function, f(x) = 4x 7x + 13, find the value of f(-2).4329154 A computer generates 90 integers from 1 to 8 at random. The results are recorded in this table. Outcome 1 2 3 4 5 6 7 8 Number of times outcome occurred 26 8 10 12 8 6 9 11 What is the experimental probability of the computer generating a 3 or a 5? 9% 20% 18% 40% Which answer shows the correct usage of the semicolon?a. My brother is having a party; I have to bring several items; balloons, cake and pizza.b. My brother is having a party; I have to bring several items: balloons, cake and pizza.c. My brother is having a party: I have to bring several items; balloons, cake and pizza. calculate the work done 36 kg boxes lifted onto a shelf 1.5 m high The logo for Ask search engineand pls no links