Owen runs a third of a trip at 3 meters per second, and then he runs at 5 meters per second for the rest of the trip. What is the average speed he runs for the entire trip? Express your answer as a mixed number.

Answers

Answer 1

Answer:

The answer in mixed number is [tex]=4\frac{0}{2}[/tex]

Step-by-step explanation:

Note: When a body is travelling at uniform acceleration, the average velocity is given as  [tex]Average -velocity= \frac{v+u}{2}\\\\[/tex]

Given

initial velocity u= 3 m/s

final velocity v= 5 m/s

[tex]Average -velocity= \frac{5+3}{2}\\\\[/tex]

[tex]Average-velocity= \frac{8}{2}[/tex]

To express this in mixed number we have [tex]=4\frac{0}{2}[/tex]


Related Questions

NEED ANSWER IN 2 MINUTES!

Answers

Answer: 11

Step-by-step explanation:

The stem is the 10s place and leaf is the ones

A pack of cards is numbered 1 to 24. A card is chosen at random. Find the probability that the number on the card is divisible by 2 or 3

Answers

Answer:

Step-by-step explanation:

It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.

Our answer is P= 16/24=2/3=66,66%

Can someone help me ​

Answers

Answer:

y=22cm

Step-by-step explanation:

using L×B=A where y is L

308=14y

y=308/14

y=22cm

What's the correct answer to this? Please help..

Answers

Answer: C

Step-by-step explanation:

Simplify(Subtract 2)

x > 0

Greater than is represented by a open circle with an arrow pointing right.  Because x is greater than 0, the point must be on 0.

Hope it helps <3

Answer:

C

Step-by-step explanation:

The inequality is x+2 > 2

x+2 >2      substract 2 from each side x+2-2 > 2-2x > 0

x > 0 means that x is positive

so the graph must start from 0 and then should grow towrd the positive value

since we have x > 0 then 0 should be excluded

the graph that fits our solution is c where 0 is excluded

I need help with this question please help

Answers

EF and GF

Explanation:
Congruent means that they are the same size and shape.
The answer is EF and GF

does the equation y = 4(5.6)^x represent exponential decay or exponential growth?

Answers

Answer:

growth

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

y = 4(5.6)^x

5.6 is greater than 1 so it is growth

On Friday, Mica has $22.50 in her bank account. Mica goes to the market to get groceries for the week and ends up spending more than planned. When Mica checks her account, she now has a balance of $-48.15. How much money did Mica spend at the market?

Answers

Answer: $70.65

Step-by-step explanation:

From the question, we are informed that Mica has $22.50 in her bank account and then she goes to the market to get groceries for the week and ends up spending more than planned. She later checks her account and found out that she now has a balance of $-48.15.

To get the amount of money that Mica spent at the market, we subtract her balance from the opening balance she had in her bank account. This will be:

= $22.50 - (-$48.15)

= $22.50 + $48.15

= $70.65

Mics spent $70.65 at the market.

Which of the following equations is graphed below?

Answers

Answer: 3rd answer choice

Step-by-step explanation:

Answer: 4th answer choice

Step-by-step explanation:

Explain the significance of the equation 100x -2y+ 400 = 0 which represents the hourly cost of a car repair.

Answers

Answer: The significance is that it is how much you will pay for the total repair which will help you know how much money you will spend.

Step-by-step explanation:

This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so that it is circumscribed about the candy bar. If segment AD = 4 cm, what is the smallest diameter of wrapper that will fit the candy bar? Triangle ABC in which point E is between points A and B, point D is between points A and C, point F is between points B and C, segments AE and EB are congruent, segments BF and FC are congruent, and angles AED, ABF, and DFC are right angles.

Answers

Answer:

8 cm

Step-by-step explanation:

When a right triangle is circumscribed in a circle, the diameter is the hypotenuse AC.

Therefore, the smallest diameter of the wrapper will be that of the circle whose diameter has endpoints of A and C.

From the diagram:

AE=DFED=FC

Therefore, Triangle AED is congruent to Triangle DFC and in fact AD=DC.

Given: AD =4 cm

Therefore, the smallest diameter

AC=AD+DC

=4+4

=8 cm

The price of apples at three different stores is shown below. Store R sells apples for $1.20 per pound. Store S sells 4 pounds of apples for $5.00. Store T sells 3 pounds of apples for $3.48. which of these is a true statemnt

Answers

Answer:

Store T sells apples at the lowest rate

$1.16

Step-by-step explanation:

which of these is a true statemnt

Store R sells apples at the lowest rate

Store T sells apples at the lowest rate

Store s charges a lower rate than Store T

Store t charges the same rate as Store R

Given:

Store R= $1.20 per pound

Store S =$5.00 for 4 pounds

Store T=$3.48 for 3 pounds

Find the price of apple per pound

Store R=1.20 per pound of Apple

Store S=$5.00/4

=$1.25 per pound of Apple

Store T=$3.48/3 pounds

=$1.16 per pound of Apple

From the statements above,

Store T sells apples at the lowest rate

PLZ HELP 10POINTS EASY HELP!!!!!!!!!!

Answers

Answer:

2nd no is corret

Step-by-step explanation:

as altitude is defined as a st. line meeting its base forming 90degree angle.

Answer:

I think the second answer, JH is an altitude of GJI, is the correct answer.

Step-by-step explanation:

Having JH be an altitude of GJI means that it makes a 90 degree angle. And to prove that it's a 90 degree angle we look at where it has the little squares. The squares represent 90 degrees.

Hope this helps!

Water flows through a pipe at a rate of 10 fluid ounces per day. Express this rate of flow in pints per month.

Answers

Answer: 18.75 pints per month

Step-by-step explanation:

. Una persona desea realizar una pintura para su próxima exposición en donde esta tenga tres colores fluorescentes y dos colores pastel, al realizar la revisión de su paleta de pintura, este artista cuenta con siete colores fluorescentes y cinco colores pastel. De lo anterior se puede indicar que la cantidad de maneras en que puede realizar la pintura como lo desea es *

A. 305.
B. 350.
C. 405.
D. 450

Answers

Answer: B. 350.

Step-by-step explanation:

Given: Total number of fluorescent colors = 7

Total number of pastel colors = 5

Since , he want three fluorescent colors and two pastel colors.

Number of ways to select r things out of n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Number of ways to choose colors = [tex]^7C_3\times\ ^5C_2[/tex]

[tex]=\dfrac{7!}{3!4!}\times\dfrac{5!}{2!3!}\\\\=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}\times\dfrac{5\times4\times3!}{2\times3!}\\\\=350[/tex]

Hence, the correct option is B. 350.

Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represents the total cost and h represents the hours worked. Use pencil and paper to create a table of values for hours worked from 1 to 5, incrementing h by 1 in each row.

Answers

Answer:

1 hour   : 15 dollars

2 hours: 20 dollars

3 hours: 25 dollars

4 hours: 30 dollars

5 hours: 35 dollars

Step-by-step explanation:

Substitute the hour number in for h and solve. for example, if you were trying to find 5 hours, you would produce the equation c = 5(5) + 10. once you solve that you get c = 25 + 10 which is also c = 35.

Yuri measures the height of the water in an aquarium in one metric unit. He then moves the decimal point three units to the left. Which pair of measurements might he be converting? Use the metric table to help answer the question.

Answers

Answer:the answer A( kiloliters to liters)

Answer:

Millimeter to Meter

Step-by-step explanation:

Find the geometric mean of 4 and 18.

Answers

Answer:

6√2

Step-by-step explanation:

Gm = √a×b

= √4×18

= √72

= √36×2

= √6²×2

= 6√2

The upper-left coordinates on a rectangle are (-5, 6), and the upper-right coordinates are (-2, 6). The rectangle has a perimeter of 16 units. Draw the rectangle on the coordinate plane below.

Answers

Answer:

Step-by-step explanation:

Given the upper-left coordinates on a rectangle as (-5, 6), and the upper-right coordinates as (-2, 6), the distance between the two coordinates will be equal to the length of one side of the rectangle. Using the formula for calculating the distance between two points as shown;

D = √(x2-x1)²+(y2-y1)²

The the upper left coordinates be A (-5, 6) and  the upper right coordinates be B(-2, 6).

AB = √(-2-(-5))²+(6-6)²

AB = √(-2+5)²

AB = √3²

AB = 3 units = Breadth of the rectangle

Give the perimeter of the rectangle to be 16 units, we can get the length of the rectangle using the formula;

Perimeter of a rectangle = 2(L+B)

16 = 2(3+L)

16 = 6+2L

10 = 2L

L = 5units

The length of the triangle is 5units

Find the diagram of the rectangle on the coordinate plane in the attachment below.

What is g(x)?
A. g(x) = -2
B. g(x) = -x
C. g(x) = -|x|
D. g(x) = -x^2

Answers

Answer:

A. g(x) = -2^x.

Step-by-step explanation:

If g(x) = -2, it would be a straight line running horizontally.

If g(x) = -x, it would be a linear equation.

If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.

So, the remaining answer is that A. g(x) = -2^x.

Hope this helps!

Its A, [tex]-2^x[/tex].

For inputs x you can find corresponding y-values on the graph of function:

[tex]x=1\implies y=-2^1=-2[/tex]

[tex]x=2\implies y=-2^2=-4[/tex]

[tex]x=3\implies y=-2^3=-8[/tex]

.

.

.

Hope this helps.

Em determinada loja, o lucro obtido pela venda de x fones de ouvido, em reais, pode ser representado pela expressão algébrica 7x-17. Qual será o lucro obtido por essa loja se forem vendidos 13 fones de ouvido?

Answers

Answer:

74 reais

Step-by-step explanation:

Em uma determinada loja, o lucro obtido com a venda de fones de ouvido x, em reais, pode ser representado pela expressão algébrica 7x-17. Quanto lucro esta loja terá se vender 13 fones de ouvido?

O lucro é representado como 7x - 17

onde x = número de fones de ouvido vendidos

Se 13 fones de ouvido foram vendidos, o lucro será:

(7 * 13) - 17

= 91 - 17

= 74 reais

A cylinder has a diameter of 18 inches and a volume of 405/2π cubic inches. What is the height, in inches, of the cylinder? Enter the height in decimal form rounded to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

diameter = 18 inches

radius = r = 18/2 = 9 in

Volume of cylinder = 405π/2

[tex]\pi r^{2}h = \frac{405}{2}\pi \\\\\\\pi * 9 * 9* h =\frac{405}{2}\pi \\\\\\h =\frac{405}{2*9*9*\pi }*\pi \\\\\\h=\frac{5}{2}[/tex]

h = 2.5 inches

Which represents the reflection of f(x) = x over the y-axis?
х
-1
0
1
4
f(x)
undefined
0
1
2
f(x)
х
-1
0
1
1
0
-1
-2
4

Answers

Answer:

Graph having x ≤ 0

Step-by-step explanation:

f(x) = [tex]\sqrt{(-x)}[/tex]

Given function 'f' when reflected across the y--axis,

Translated form of the parent function will be,

g(x) = [tex]\sqrt{(-x)}[/tex]

Table for the input-output values for this function will be,

x             g(x)

-1               1

0               0

1              undefined

4             undefined

Table shows that the given function is undefined for x > 0

Domain of g(x) will be (-∞, 0],

Therefore, graph having values of x ≤ 0 will be the answer.

Answer:

I think its D on edge!

Step-by-step explanation:

The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 390 people entered the park, and the admission fees collected totaled $10650. How many children and how many adults were admitted? NUMBER OF CHILDREN= ? NUMBER OF ADULTS= ?

Answers

Answer:

Children = 200

Adults = 190

Step-by-step explanation:

Children = x

Adults = y

x + y = 390

x = 390 - y..............(1)

20x + 35y = 10650

Substituting

20(390-y) + 35y = 10650

y = 190

x = 390 - 190 = 200

Answer:

Step-by-step explanation:

Number of children = c

Number of adults = a

Total people = 390

a + c = 390 ------------------ (I)

Admission fee for 'c' children = 20 * c = 20c

Admission fee for 'a' adult = 35 * a = 35a

Total amount = $ 10650

35a + 20c = 10650 -------------(II)

Multiply equation (I) by (-20)

(I)*(-20)  -20a - 20c = - 7800

(II)           35a + 20c = 10650    { Now add and so 'c' will be eliminated}

              15a            = 2850

a = 2850/15

a =  190

Plug in a = 190 in equation (I)

190 + c = 390

          c =  390 - 190

c = 200

Number of children = 200

Number of adults = 190

Pleaseeeeeee. Helpppppppppppp meeeeeeeeeeee

Answers

Answer:

first tower needs 4

second needs 3

third needs 2

and the fourth needs 1

Total needed triangles for all is 10

Step-by-step explanation:

The volume of a cone with a height of 6 cm is 8 pi cubic centimeters. Which expression can be used to find r, the radius of the base of the cone? 6 = one-third pi (r squared) (8 pi) 8 pi = one-third pi (r) (6 squared) 6 = one-third (pi r)(8 pi) 8 pi = one-third pi (r squared) (6)

Answers

Answer:

last option is correct

Step-by-step explanation:

Mathematically, we can write the volume of a cone as;

V = 1/3 * pi * r^2 * h

From the question, V is 8 pi cm^3 while h is 6cm

Thus, substituting these values into the equation, we have;

8pi = 1/3 * pi * r^2 * 6

The last option is the correct answer that tallies with the above

Answer:

8 pi = one-third pi (r squared) (6)

its d

Step-by-step explanation:

The right triangular prism has a volume of 1,152 cm3. A right triangular prism has a volume of 1,152 centimeters cubed. The triangular bases have 2 sides with lengths of 12 centimeters. The hypotenuse length is not given. The height of the prism is x centimeters. What is the value of x, the height of the prism? 6 8 12 16

Answers

Answer:

  16 cm

Step-by-step explanation:

A "right" prism is one that has the planes of the lateral faces perpendicular to the plane of the base. Here, we assume your "right triangular prism" is one that has a right triangle as a base, because you mention the "hypotenuse."

The area of the base is ...

  A = (1/2)bh = (1/2)(12 cm)(12 cm) = 72 cm²

The volume of the prism is ...

  V = Bh . . . . where B represents the area of the base

Filling in the numbers, we have ...

  1152 cm³ = 72 cm²×h

  h = (1152/72) cm = 16 cm

The height of the prism is 16 cm.

Answer:

16 cm

Step-by-step explanation:

solved in addition and use multiplication!! PLEASE HELP ASAP!

Answers

Answer:

First by 3, second by -2.

Step-by-step explanation:

You need to get the x-factor to the smallest common multiple of 4 and 6, which is 12.

But also, if you add both, they should cancel out the x term, i.e.,:

-12x + 12x = 0

You get that by multiplying by 3 and -2, respectively.


The solutions to 2x2 + 8x + 4 = 0 are x = -87,32. Choose the simplified form
of these solutions.

Answers

Answer: D

Step-by-step explanation:

Answer:

the answer is "C"

Step-by-step explanation:

i just took the test

Find the area of the shaded triangle.

Answers

Answer:

7.5

Step-by-step explanation:

The area of a triangle is found by the formula A=1/2bh, where b is the base length, and h is the height. If we count the squares, we can find that the base length of the triangle is 3 units, and the height is 5 units. If we plug those numbers into the equation to get A=1/2*3*5, we can solve to get A=7.5

On a coordinate plane, a straight red line with a negative slope, labeled g of x, crosses the y-axis at (0, negative 7). A straight blue line with a positive slope, labeled f of x, crosses the x-axis at (negative 1, 0) and the y-axis at (0, 2). Both lines intersect at (negative 3, negative 4). Which statement is true regarding the functions on the graph? f(–3) = g(–4) f(–4) = g(–3) f(–3) = g(–3) f(–4) = g(–4)

Answers

Answer:

f(-3) = g(-3)

Step-by-step explanation:

We know that f(x) = g(x) where the two graphs  intersect

f(-3) = g(-3)

Answer:

f(-3) = g(-3)

Step-by-step explanation:

did on edguniuty

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