Layla walked a total of 12 kilometers by making 4 trips to school. After 5 trips to school, how many kilometers will Layla have walked in total? Assume the relationship is directly proportional.

Answers

Answer 1

Answer:

[tex]=15km[/tex]

Explanation:

[tex]12[/tex] [tex]km[/tex] ÷ [tex]4[/tex]

[tex]=3[/tex] [tex]km[/tex] per trip to school

Now that we know that Layla walks 3 km to walk to school, we multiply that by 10

[tex]3[/tex] [tex]km[/tex] × [tex]5[/tex] [tex]trips[/tex]

[tex]=15[/tex] [tex]km[/tex]

∴ Layla walked 15 km in total


Related Questions


Can i get some help ?

Answers

Answer:

Right Angle.

Step-by-step explanation:

A right angle (90°; /2 radians) exists between a tangent to a circle and the radius across the point of contact. To put it another way, the tangent and radius are perpendicular to one another.

Answer:

I would day right angle. It sounds like the best answer

Step-by-step explanation:

George is solving the equation below by finding successive approximations. He started from a graph where he found the solution to be between 5 and 6. Using the lower and upper bounds from the graph, George did the following work for the first iteration. Step 1 Rewrite the equation so that it equals zero. Step 2 Evaluate the rewritten equation at the lower and upper bounds. Since the solution to the original equation is represented by a zero, one of the bounds should yield a negative difference and the other should yield a positive difference. Step 3 Take the average of the lower and upper bounds from the graph. Step 4 Evaluate the rewritten equation at . Step 5 Since this value of x yields a negative difference, use it to replace the previous upper bound that yielded a negative difference, . So, the bounds are now and . In what step, if any, did George make his first mistake? A. In step 1, George should have subtracted in the opposite order to set the equation equal to 0. B. In step 5, George should have used as the new lower bound. C. George made no mistakes, and his work is correct. D. In step 3, George should have averaged the two differences instead of the two bounds.

Answers

The mistake made by George is; D:George should have averaged the two differences instead of the two bounds.

How to Solve Successive Approximations?

In Mathematics, successive approximation can be defined as a classical method that is used in Calculus for solving integral equations or initial value problems.

In this question, George started the first iteration of successive approximation by using the lower and upper bounds of the graph. However, we can deduce that George made a mistake instep 5 because he should have used x = 3/2 as the new upper bound.

Read more about Successive Approximations at; brainly.com/question/25219621

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The second showing started 20 minutes late. Will the second
showing be over by 6:30 P.M.? Explain why your answer is reasonable

Answers

No, the second showing would be over at 6:50 because it started 20 minutes late. The time is delayed 20 minutes because it started 20 minutes later.

Find the area of the irregular figure.
4 in.
6 in.
A = [? ]in.²
10 in.
7 in.
11 in.
6 in.

Answers

Answer:

160 square inches

Step-by-step explanation:

You can split the irregular figure up into regular shapes:

the top 4x6 inch rectangle

the middle section can be a 18x6 rectangle (added 7+11 for the length)

the bottom 4x7 rectangle (sibtracted 10-6 for the width)

Then, find the area of each section with the equation A = lw.

A= 4(6) = 24 square inches

A = 18(6) = 108 square inches

A = 4(7) = 28 square inches

Add these areas up to get the total area of the irregular figure.

24 + 108 + 28 = 160 square inches

A mean weight of 2.2 pounds is computed for a random sample of 50 catfish from a lake....,,
What can you infer from this random sample?
A)You infer that the mean weight of all catfish is close to 2.2 pounds.
B)You infer that the mean weight of all catfish is exactly to 2.2 pounds.
C)You infer that the mean weight of catfish in the lake is close to 2.2 pounds.
D)You infer that the mean weight of catfish in the lake is exactly to 2.2 pounds.

Answers

Answer:

You infer that mean weight of catfusf in the lake is close to 2.2lbs

Step-by-step explanation:

Because it's a random sample of 50.

So plenty of catfishes left out of surveySo it lends to variation of mean .But mean remains closer to 2.2

3x∧2±6x±x±20 sole by factorization

Answers

Answer:

just look at the algebra formula and simplify to get your answer. Remember to use your powers well

determine the equation for the given information

Answers

point-slope form

y - y₁ = m(x - x₁)

[tex]y-1=-\frac{1}{2}(x-8)\\\\y-1=-\frac{1}{2}x+4\\\\y=-\frac{1}{2}x+5[/tex]

The answer is A) Choice A.

Can you guys help me find x and y
x -2y =-3
8x -6y =16

-2y -2y = 20
x - 7y = 14

Answers

Step-by-step explanation:

x - 2y = -3,____1 , 8x - 6y = 16____ 2

x - 2y = -3

x = 2y -3 ____ equation 3

eqn 3 in 2

2=> 8x - 6y = 16

8(2y-3) - 6y = 16

16y - 24 - 6y = 16

10y = 16 + 24

10y = 40

y = 40 / 10

y = 4

y=4 in eqn 3

3=> x = 2y - 3

x = 2(4) - 3

x = 8 - 3

x = 5

x = 5 , y = 4

-2y-2y = 20 , x - 7y = 14___ 1

-2y-2y = 20

-4y = 20

y = 20/ -4

y = -5

y = -5 in eqn 1

1=> x - 7y = 14

x - 7(-5) = 14

x - (-35) = 14

x + 35 = 14

x = 14 - 35

x = -21

x = -21 , y = -5

Will mark brainlist to whoever answers first, full explanation please

Answers

Reflection- It flips the image over a line to create a mirror image

Rotation - It spins a figure around a point

Translation-  It slides the figure in a different direction

Dilation- It enlarges or reduces a figure

6. Andy scored 90 on the last history exam. He scored 81 this time. By what percent did his score decrease?​

Answers

Answer:

His score decreased by 9 percent this time.

Step-by-step explanation:

From his first history exam he had a score of 90 percent. The difference between his first score and present score is given by

90 - 81 = 9

PLEASE HELP ASAP!!
Describe the transformations from the parent function, and define the function of the following graph.

Answers

Answer:   Vertical stretch by a factor of 5.8 , reflection across x-axis ⇒ answer B

Step-by-step explanation:

* Lets revise the vertical and horizontal stretch with reflection

- A vertical stretching is the stretching of the graph away from the

x-axis

- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

by multiplying each of its y-coordinates by k.

- If k should be negative, the vertical stretch is followed by a reflection

across the x-axis  

- A horizontal stretching is the stretching of the graph away from

the y-axis

- If 0 < k < 1 (a fraction), the graph of y = f(k•x) is f(x) horizontally

stretched by dividing each of its x-coordinates by k.

- If k should be negative, the horizontal stretch or shrink is followed

by a reflection in the y-axis

* Lets solve the problem

∵ G(x) = sin x

∵ F(x) = -5.8 sin x

∴ F(x) = -5.8 G(x)

- From the rule above

∴ G(x) is stretched vertically by scale factor -5.8

∵ The scale factor is negative

∴ The vertical stretch is followed by a reflection across the x-axis  

* The transformation is:

 Vertical stretch by a factor of 5.8 , reflection across x-axis

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

What fraction is equal to 0.4 (with a line over the four)

A. 44/9
B. 4/99
C. 4/9
D. 9/4

Answers

Answer:

4/9 = 0.4 with a line over the 4

Step-by-step explanation:

Answer:

C. 4/9

Step-by-step explanation:

On dividing 4/9 :

4/90.444....0.4 (bar on the 4)

Option C gives the right answer.

#19. find the perimeter and the area of the figure

Answers

Answer:

Perimeter = 56 m

Area = __ m^2

Step-by-step explanation:

Perimeter = ___ m

Area = __ m^2

To find Perimeter, you have to add up all the sides of the shape,

5 + 5 + 5 + 11 + 7 + 7 + 16

= 56 m

Perimeter = 56 m

To find area, you have to multiply length times width,

5 × 5 = 25

7 × 16 = 112

112 + 25 = 137

Area = 137 m^2

Therefore the perimeter of this shape is 56 m and the area of this shape is 137m^2.

A soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. Each serving of soup is 15 cubic inches. If a can of soup this size costs $1.99, what is the cost for each serving of soup? Round to the nearest cent.

Answers

Answer:   The answer to your question is Cost of a serving = $0.62

Step-by-step explanation:

Data

diameter = 3.5 in

height = 5 in

each serving = 15 in³

Cost of the can = $1.99

Process

1.- Calculate the volume of the can

Volume = πr²h

-Substitution

Volume = (3.14)(3.5/2)²(5)

-Simplification

Volume = (3.14)(3.062)(5)

-Result

Volume = 48.08 in³

2.- Use proportions and cross multiplication to find the cost of a serving.

                  48.08 in³ ---------------- $1.99

                        15  in³ ----------------  x

                         x = (15 x 1.99)/48.08

                         x = 29.85/48.08

                         x = $0.62

Which relations are functions?
Choose all answers that are correct:

Answers

Answer:

B and C are functions.

Step-by-step explanation:

B and C are functions because they satisfy the Vertical Line Test. A and D are not functions because they do not satisfy the Vertical Line Test.

Please help ASAP
Will mark as brainliest answer ​

Answers

Answer:

i hope this will help you

Answer:

a = 1b = √15

Step-by-step explanation:

An equation is solved for one of the variables by undoing the operations done on that variable. Here, we can solve for 'a' and solve for 'b' to find the desired values.

__

value of a

Solve for 'a', then substitute the value of 'b'.

  [tex]\sqrt{9a}=\dfrac{b^2-3}{2}\\\\9a=\left(\dfrac{b^2-3}{2}\right)^2=\dfrac{(b^2-3)^2}{4}\\\\a=\dfrac{(b^2-3)^2}{36}=\dfrac{((-3)^2-3)^2}{36}=\dfrac{6^2}{36}\\\\\boxed{a=1}[/tex]

__

value of b

Solve for 'b', then substitute the value of 'a'.

  [tex]\sqrt{9a}=\dfrac{b^2-3}{2}\\\\2\cdot3\sqrt{a}=b^2-3\\\\6\sqrt{a}+3=b^2\\\\b=\sqrt{6\sqrt{a}+3}=\sqrt{6\sqrt{4}+3}=\sqrt{12+3}\\\\\boxed{b=\sqrt{15}}[/tex]

Graph a line to represent the linear equation y=32x−6.

Answers

Answer:

The slope is 32 while the y-intercept is (0,-6)

Step-by-step explanation:

.......

The bases of Triangle A and Triangle B are equal. The ratio of the height of
Triangle A to the height of Triangle B is 4 : 5. If the height of Triangle A is
16 cm and its base is 12 cm, what is the area of Triangle B?

Answers

Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × 20 = 6 × 20 = 120 cm²

e + 20 ≥ 33

Please help me solve this!
( solving one-step inequalities )

Answers

Answer:

=> e is greater than Or equal to 13

Answer:

Hey I don't know if this helps but I your trying to see if the equality is true of false it would be false

A car travels 150 miles in 3 hours. What is the rate of the car in miles per hour?

Answers

Answer:

50 miles per hour

Step-by-step explanation:

150 miles=3 hours

150/3=50

50miles 1 hour

100 miles 2 hours

150 miles 3 hours

each hour is 50 miles

Answer:

The rate of the car is 50 miles per hour

How to solve for b? Do you need another variable?

Answers

Answer:

No there are 180 degrees on a line

Step-by-step explanation:

180

115-

065

65°

A triangular prism has a triangular face with a base of 7 meters and a height of 10 meters. It’s volume is 259 cubic meters. What is the length of the triangular prism. (will mark brainliest)

Answers

What is the length of the triangular prism is 3.7

259 / 10 = 25.9

25.9 / 7

= 3.7

The figure below shows a triangular piece of cloth:

What is the length of the portion BC of the cloth? (1 point)

Answers

Answer:

BC / 8 = sin 35° by definition.

Step-by-step explanation:

Please help fast-

In △LMN , point E is between points L and M, point F is between points M and N, and EF¯¯¯¯¯∥LN¯¯¯¯¯ .

LE=19 cm , LM=31 cm , and MN=124 cm .

What is MF ?

Enter your answer in the box.

Answers

Using the triangle proportionality theorem, the length of segment MF in triangle LMN is: 48 cm.

What is the Triangle Proportionality Theorem?

The triangle proportionality theorem states that when a segment intercepts two sides of a triangle and it is parallel to a third side, then it divides the side proportionally.

The diagram of triangle LMN is shown below. Using the triangle proportionality theorem, we have:

MF/MN = ME/ML

Plug in the values

MF/124 = (31 - 19)/31

MF/124 = 12/31

MF = (12 × 124)/31

MF = 48 cm

Learn more about the triangle proportionality theorem on:

https://brainly.com/question/25855270

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find the area of the nearest hundredth use 3.14 for π​

Answers

Answer:

254.34

Step-by-step explanation:

3.14 x 9^2

or

3.14(9 x 9)

hope this helps

have a good day

The area of the triangle below is 15 square centimeters. What is the length of the
base? Express your answer as a fraction in simplest form.

Answers

Answer:

5/8

Step-by-step explanation:

Area for a triangle

A=1/2bh

15/32=3/4h

5/8 = h

PLEASE HELP 50 POINTS
Which of the following is a solution of y + x < -5?

(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)

Answers

Answer: The 4th option= -1, -3

Step-by-step explanation: Here, if y = -1 and x = -3. The equation would be: (-1) + (-3)= -1 -3 = -4

Now we know that -4 is greater than -5.

Some may think that -4 is smaller than -5 nut remember that the numbers are in minus form, so if u put them in a number line, then -4 is greater than -5.

Thanks.

Darion picks 16 grapefruits off
a tree in his backyard. He puts
4 grapefruits in each bag. How
many bags does he need?

Answers

hey there!

Number of bags he need = 16/4 = 4

He needs [tex]\fbox{4}[/tex] bags.

Answer:

he would need 4 bags

Step-by-step explanation:

16 divided by 4 is 4

you can count by 4 to find your answer

I was confused on how to write the quadratic in standard form

Answers

[tex]\\~~~~~3x^2 +4x +7 = -1\\\\\implies 3x^2 +4x +7 +1 = 0\\\\\implies 3x^2 +4x +8 = 0\\\\\text{It is now in the standard form of quadratic equation}~( ax^2 +bx +c = 0)\\[/tex]

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