Annie and her family are on their way to visit some family friends who live 820 miles away from them. Based on the route they choose, they expect to complete their trip in three days. The distances and average speeds for the first two days driven are show below. First day: 6 hours at an average speed of 60 miles per hour Second day: 4 hours at an average speed of 65 miles per hour If the average speed on the third day is 50 miles per hour, how many more hours will it take for them to reach their family friends home?

Answers

Answer 1

Answer:

4 hours

Step-by-step explanation:

The distances and average speeds for the first two days driven are show below.

Step 1

We calculate the total distance covered in the first two days

First day: 6 hours at an average speed of 60 miles per hour

Hence:

1 hour = 60 miles

6 hours = x

x = 60 × 6

x = 360 miles

Second day: 4 hours at an average speed of 65 miles per hour

Hence:

1 hour = 65 miles

4 hours = x

x = 65 × 4

x = 260 miles

The distance covered for the first two days =

(360 + 260)miles

= 620 miles

Step 2

The total distance for the entire trip = 820 miles

Hence, the distance left to cover on the third day = (820 - 620)miles

= 200 miles

In the question, we are told:

If the average speed on the third day is 50 miles per hour,

The number of hours it will take for them to reach their family friends home is calculated using the formula

Time = Distance/Speed

Time = 200 miles/50 miles per hour

Time = 4 hours


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Answer:

Step-by-step explanation:

Area = 3.14r^2

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Find the gradient of the line with equation Y=3-x​

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Step-by-step explanation:

Gradient = Coefficient of x = -1.

FIRST ANSWER GETS BRAINLIEST HURRY UP YALL

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Answer........................

7

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Determine the solution for the equation, 5w - 9= 44.
A) w=10.6
B) W=7
C) w=12.2
D) w=5.8

Answers

Answer:

A) 10.6

Step-by-step explanation:

5w - 9 = 44

Add 9 to both sides.

5w = 53

Divide by 5.

w = 10.6

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Solve the system of equations.
y= 8x-7. y=6x+5. 

X=?
Y=?

Answers

Answer:

(6,41)

x=6

y=41

Step-by-step explanation:

I did it algebraically to solve for x and y, and I also graphed both of them and found the point where they intersect. It’s in the image below.

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What is the unit cost for 3 lbs. of apples for $7.40? Round to the nearest cent.

Answers

Answer:

answer is 2.47

At the end of Tabitha's shopping experience, her total cost was $120.70. If she bought the number of 32-ounce cartons of orange juice she needed from part b, what percent of the bill was spent on orange juice? Round your answer to the nearest percent.

Answers

Incomplete question. However, let's work it out using an assumed set of data.

Assuming the list and value of items totaling $120.70 is:

10 liters of liquid soap > $601 carton of strawberry juice > $1732-ounce of orange juice > $43.7

Answer:

approximately 36%

Step-by-step explanation:

To find the percent of the bill spent on orange juice, we need to find the ratio of its cost to the total cost of Tabitha's shopping experience. We can use the basic formula:

[tex]\frac{item cost}{total cost} * 100[/tex]

[tex]\frac{43.7}{120.7} * 100=[/tex] 36%

In other words, the $43.7 she spent on orange juice made up 36% of the bill.

Find the length of the rectangle if the perimeter is 244 yards the length is 18 less than three times the width?

Answers

Answer:

The Length of rectangle is 87 yards.

Step-by-step explanation:

Let width = w

Length = 3w-18

Perimeter of rectangle = 244 yards

We need to find length of rectangle.

First we need to find value of w

The formula used will be: [tex]Perimeter=2(length+width)[/tex]

Putting values and finding w

[tex]Perimeter=2(length+width)\\244=2(3w-18+w)\\244=2(4w-18)\\244=8w-36\\244+36=8w\\8w=280\\w=\frac{280}{8}\\w=35[/tex]

So, w= 35

The width of rectangle w = 35 yards

The length of rectangle l = 3w-18 = 3(35)-18 = 105-18 = 87 yards.

So, the Length of rectangle is 87 yards.

question is in the picture

Answers

Answer:

The second and fourth options

Step-by-step explanation:

A function is where one the inputs have only one output. In this case all we have to do is look at the x value (x,y) and see when it goes 1,2,3,4 and that means there are no repeating x and in that case each input has only one output. If you look at the other ones they have a repeating x and that means the input has two outputs and therefore it isn't a function.

6. Complete the pattern: 4, 8, 12, 16,

Answers

Answer:20,24,28,32

Step-by-step explanation:

Answer:

20, 24, 28, 32

Step-by-step explanation:

The sequence is counting by 4. Wasn't sure how many numbers you were looking for, but if you need more than what was given in the answer then keep counting up by 4.

For the function f(x)=3x-4 find f(2)

Answers

Hi there!

[tex]\large\boxed{f(2) = 2}[/tex]

Evaluate f(x) at x = 2 by substituting 2 for x:

f(x) = 3x - 4

f(2) = 3(2) - 4

f(2) = 6 - 4

f(2) = 2

may someone help me with these 2 again

Answers

Answer:

1. 180

2. x = 31

Step-by-step explanation:

1. the sum of the interior angles of every triangle is always 180

2. using what we know from problem 1, we can create an equation:

x + 10 + 2x - 5 + 2x + 20 = 180

add like terms: 5x + 25 = 180

subtract 25 from both sides: 5x = 155

divide both sides by 5: x = 31

1) The astronaut's sense of imbalance in a space flight is due to the rotation of a device in which he or she feels a fictitious gravity that mimics gravity. The the device rotates according to the mathematical equation: n =g^0.5/2πr^0.5 Where n is the rotational speed and is measured in rotations per second (s). (r) is the radius of the circulator and is measured in meters (m). (g) is a simulation of gravity. Calculate the rotation speed of a device, that has a radius of 1.7 meters and rotates to simulate the gravitational force which equals to: g = 9.8 m/s^2 with steps please

Answers

Answer:

n = 0.38 rotation per second

Step-by-step explanation:

The device rotates according to the mathematical equation :

[tex]n=\dfrac{g^{0.5}}{2\pi r^{0.5}}[/tex] ...(1)

Where n is the rotational speed and is measured in rotations per second (s).

r is radius of the circulator and is measured in meters (m).

We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).

[tex]n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}[/tex]

Hence, the rotational speed is 0.38 rotation per second.

(4x5) x3 = 4x (5x3) What property does this show?​

Answers

Answer:

distributive

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x5x7x8x2÷8=?

Heeellllpppppp
A team of divers assembles at an elevation of -10ft relative to the surface of the water. Then the team dives at a rate of -50ft/min. Write a function rule to represent this situation.

Answers

Answer:

y=-50x+-10

Step-by-step explanation:

I'm assuming you need this answer in the y=mx+b format.

If ∠1≅∠2, then ___...

a) ∠5≅∠6, angle 5 is congruent to angle 6

b) ∠3≅∠4, angle 3 is congruent to angle 4

c) XK≅YK

d )GK≅HK

e)All of the above are true

Answers

Answer: All of thé above

Step-by-step explanation:

help me and get brainiest, like, and 5 starts!​

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It’s 11 I’m pretty sure

I need help by score is going down

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Answer:

JUST DO IT!

Step-by-step explanation:

Motivation

it took Corinne 3 hours to do 12 pages of homework.How many pages of homework did she do per hour?

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Answer:

4 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Step-by-step explanation:

12÷3=4

Show all work to factor x4 – 17x2 + 16 completely.

Answers

Answer:

(x - 4)(x + 4)(x - 1)(x + 1)

Step-by-step explanation:

Given

[tex]x^{4}[/tex] - 17x² + 16

Use the substitution u = x², then

u² - 17u + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)

The factors are - 16 and - 1, then

u² - 17u + 16

= (u - 16)(u - 1) ← replace u by x²

= (x² - 16)(x² - 1) ← both factors are difference of squares

= (x - 4)(x + 4)(x - 1)(x + 1)

Answer: -18

Step-by-step explanation: x4-17x2+16= -18

i am not completely sure but here. i hope this helps god bless

URGENT! TIMED QUESTION, WILL GIVE BRAINLIEST!

The height of a punted football is modeled by the following quadratic function:
h(t) - -5t2 . 40
where the height is measured in meters after t seconds.
+
a. How many seconds will it take the ball to hit the ground?
c. What is the maximum height of the ball?

Answers

Answer:

Step-by-step explanation:

Part a

When the ball hits the ground  it has covered the height of zero meters so we replace h(t) with zero

[tex]h(t)=-5t^2+40t\\0=-5t^2+40t\\40t-5t^2=0\\5t(8-t)=0\\5t=0 \ \ \ , \ \ \ 8-t=0\\t=0 \ \ \ , \ \ \ t=8\\[/tex]

So it will take 8 seconds for the ball to hit the ground we another value

t = 0 seconds is when the ball was thrown and after 8 seconds the balls hits the ground

Part c

The ball reaches its maximum height when the velocity is zero.

So as this functions represents the displacement of the ball h(t) we differentiate it to get the velocity equation, so we differentiate h(t) with respect to t.

[tex]v=-10t+40[/tex]

so now we replace the velocity which is v with a zero because the ball reaches its maximum height when the velocity is zero.

[tex]0=-10t+40\\10t=40\\t=40/10\\t=4[/tex]

so now we insert the value of t = 4 into the equation of h(t) to get the height.

[tex]h(t)=-5t^2+40t\\h(4)=-5(4)^2+40(4)\\h(4)=-80+160\\h(4)=80\\[/tex]

so the maximum height of the ball is 80 meters.

Part d

The y-intercept of the graph is zero, and it represents that there is no initial height covered by the ball or the ball is actually thrown from already a height of x meters, as we can see from the equation the y-intercept is zero which means the height covered by the ball is 0 meters when time is zero.

So the point is actually at the Origin (0 , 0).

Part e

We can see that the origin (0 ,0) and (8,0) are the x-intercepts of the graph as  solved from part A

We can see that the stationary point or the maximum point is at (4,80) which means the maximum height of the ball is 80 meters when the time is 4 seconds as solved in part C

Graph attached.

Is the relation a function?

Answers

No it is not a function

Answer: no its not a function  

Step-by-step explanation: i searched it up and all of them said no, hopr thid helps :)

plzzz help answer tyhese

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The slope is m=2 in the first picture. Can be done by rise/run.

The second graph has an undefined slope. Using rise/run would get the run value = 0 and that'd make the slope undefined because the denominator cannot be 0.

First one the it’s undefined and the second one it’s m=1/2

Find the midpoint of the line segment with end coordinates of: ( − 1 , 7 ) and ( 3 , − 2 ) Give coordinates as decimals where appropriate.

Answers

the midpoint is ( 1 , 2.5 ) . hope that helps ❤️

If a sprinkler waters 1 over 14 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn?

1 over 7 hour
4 over 7 hour
4 hours
7 hours

Answers

Answer:

7 hours

Step-by-step explanation:

2 divided by 14

i hope this helped

Answer:

7 hours

Step-by-step explanation:

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Answer: H

Step-by-step explanation:

7% of 21 is 1.47

Answer:

H. 1.47$ tax

Step-by-step explanation:

price of pants is 21 plus 7 percent tax

21/100=0.21

0.21 is 1 percent multiply by 7

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help me find the scale factor please!!

Answers

Answer:1.5 i think

Step-by-step explanation:

Answer:

the scale factor is 2/3

Step-by-step explanation:

to find the scale factor plug in values to [tex]\frac{new}{old}[/tex]

the new figure is the one in which the scale factor is applied to, and the old is the original figure

so for new take any side from the dilated figure, I will pick HI, the size is 4

for old use what is congruent to HI, so OL, which is 6

plug this into your fraction and you get 4/6

this simplifies to 2/3

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