Plssssss help!!! On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.

Answers

Answer 1

The total distance traveled in two days would be 380 miles.

Let's see how we calculate the distance.

Distance is calculated by multiplying speed with time. So,D = S * TS = D ÷ T

Given that,

Speed on first day = 40 mph

Since,

Speed = Distance/Time

∵ 40 = [tex]d_{1}[/tex]/[tex]T_{1}[/tex]   ...(i)

Speed on the second day = 60 mph

Distance traveled =  [tex]d_{1}[/tex] - 20

Time taken = [tex]T_{1}[/tex] - 2

Since,

Speed = Distance/Time

∵ 60 = ([tex]d_{1}[/tex] - 20)/ ([tex]T_{1}[/tex] - 2) ...(ii)

As we know,

Total distance = [tex]d_{1} + d_{2}[/tex]

=  [tex]d_{1}[/tex] + [tex](d_{1} - 20)[/tex]

= 2[tex]d_{1}[/tex] - 20  ...(iii)

From (i), we can deduce that,

[tex]d_{1}[/tex] = 40[tex]T_{1}[/tex]

[tex]T_{1}[/tex] = [tex]d_{1}[/tex]/40

Now, by putting the values of [tex]d_{1}[/tex] and [tex]T_{1}[/tex]  in equation (ii), we get

60 = ([tex]d_{1}[/tex] - 20)/ ([tex]T_{1}[/tex] - 2)

⇒ [tex]d_{1}[/tex] - 20 = 60([tex]T_{1}[/tex] - 2)

⇒ [tex]d_{1}[/tex] - 20 = 60[tex]T_{1}[/tex] - 120

⇒ [tex]d_{1}[/tex] - 20 = 60 * (

⇒ [tex]d_{1}[/tex] = 3

⇒ [tex]d_{1}[/tex] - 3

⇒ - [tex]d_{1}[/tex]/2 = -100

[tex]d_{1}[/tex] = 200

By substituting the value of [tex]d_{1}[/tex] in equation (iii),

Total distance = 2[tex]d_{1}[/tex] - 20

= 2(200) - 20

= 400 - 20

= 380 miles

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Related Questions

PLEASE HELP. In the triangles below, DF MN, DG MP, D P. Can you prove that DFG MNP? Explain your answer. (15 points)

Answers

Complete question is;

In the triangles attached , DF is congruent to MN,DG is congruent to MP, angle D is congruent to angle P. Can you prove that triangle DFG is congruent to MNP.

Answer:

Proved below

Step-by-step explanation:

From the attached triangles, we can see that;

∠D corresponds to ∠M

∠F corresponds to ∠N

∠G corresponds to ∠P

But we are told that ∠D is congruent to ∠P. Thus, since we have 2 other congruent sides in the triangles, we can conclude that Side-Angle-Side Postulate (SAS) congruency theorem that triangle DFG is congruent to MNP.



The midpoint of AB is M(-6,1). If the coordinates of A are (-7, -3), what are
the coordinates of B?

Answers

Answer:

B = (1, -4)

Step-by-step explanation:

the midpoint formula is ((x1 + x2) / 2 , ( y1 + y2) / 2)

M = (-6,1) and A = (-7,-3)

if we make A (x1, y1), we can plug in and solve for B (x2, y2)

-7 + x2 = -6

x2 = 1

1 + y2 = -3

y2 = -4

B = (1, -4)

Find the surface area of the composite solid.
A.
502 m2
B.
574 m2
C.
646 m2
D.
720 m2

Answers

Answer:

A is the answer I pretty sure

Answer:

i think the answer is 502 m2

What is the volume, in terms of cubic inches, of a cone with a diameter of 8 inches and a height of 6 inches?

Answers

Answer: [tex]100.544\ in.^3[/tex]

Step-by-step explanation:

Given

Diameter of the cone [tex]d=8\ in.[/tex]

Height of the cone [tex]h=6\ in.[/tex]

Volume of the Cone is given by

[tex]\Rightarrow V=\dfrac{1}{12}\pi d^2h[/tex]

[tex]\Rightarrow V=\dfrac{1}{12}\times \pi\times 8^2\times 6\\\\\Rightarrow V=16\pi \\\Rightarrow V=100.544\ in.^3[/tex]

The volume of the cone is [tex]100.544\ in.^3[/tex]

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form
(2 • 6) 3/2

Answers

Answer:

24√3

Step-by-step explanation:

(2 • 6)^(3/2) =

= 12^(3/2)

= √(12³)

= √1728

= √(2^6 • 3² • 3)

= 2³ • 3 • √3

= 24√3

How could Brent use a rectangle to model the factors of \large x^2-7x+6?

He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12.

He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.

He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.

He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.

Answers

Answer:He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.

Step-by-step explanation:

He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.

He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.

He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.

What is the greatest common factor of 24s3, 12s4, and 18s?

Answers

Answer:

24s3

Step-by-step explanation:

24s3 is the greatest common factor of 24 S3 12 s4 and 18s.

the greatest common factor (gcf) of 24, 12, and 18 is 6. the gcf of s3, s4, and s is s. therefore, the gcf of 24s3, 12s4, and 18s is 6s. :)

What’s 304.9% as a decimal

Answers

Answer:

3.049

Step-by-step explanation:

Please help quickly Its due in 5 minutes !!

Answers

If it was an accident he should ask a teacher to go get it simple

Can u help solve this

Answers

Answer:

 - 5/3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -1 -9)/(4 - -2)

   = (-1-9)/(4+2)

  = -10/6

  - 5/3

Answer:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 1 - 9}{4 - - 2} \\ \frac{ - 10}{6} \\ = - \frac{5}{3} \\ thank \: you[/tex]

I need help
solve for x
log16x=1/4

Answers

Answer:

[tex]log16x = \frac{1}{4} \\ x = \frac{ {10}^{ \frac{1}{4} } }{16} \\ x = 0.111[/tex]

A boat covers a certain distance downstream in 3 hrs and the same distance upstream in 5 hrs. If the speed of the boat in still water is 8km/hour, find the speed of the stream.


help me please I am struggling to solve this question​

Answers

Answer:

The stream's speed is 2 km/hr. We don't need to know the distance.

Step-by-step explanation:

Let the stream's speed = x

rate * time = d

The distance is the same going upstream as it is coming back down stream.

d_upstream = d_downsteam

(8 + stream)*3 = (8 - stream)*5

(8 + x)*3 = (8 - x)*5                    Remove the brackets

24 + 3x = 40 - 5x                      Subtract 24 from both sides.

3x = 40 - 24 - 5x

3x = 16 - 5x                               Add 5x to both sides

3x + 5x = 16

8x = 16                                      Divide by 8

x = 16/8

x = 2

Which point represents the center of the circle shown below?
X
T

Answers

Is it point k I hope this help

If (x/3)-1 is twice as large as (x/4)-3, what is the value of x?

Answers

Answer:

30

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

The equation modelling the statement is

[tex]\frac{x}{3}[/tex] - 1 = 2 ( [tex]\frac{x}{4}[/tex] - 3 ) ← distribute parenthesis by 2

[tex]\frac{x}{3}[/tex] - 1 = [tex]\frac{x}{2}[/tex] - 6 ( multiply through by 6 to clear the fractions )

2x - 6 = 3x - 36 ( subtract 2x from both sides )

- 6 = x - 36 ( add 36 to both sides )

30 = x

A boat travels 84 miles in 4 hours. How should you calculate the unit rate of miles to hours

Answers

Answer:

The boat is going 21 MPH

Step-by-step explanation:

If the boat is going 84 miles in 4 hours, and you want to find the unit rate, divide 84 by 4.

84/4 = 21

Hope this helps!

a can of soft drink weighs 340g when rounded off to the nearest whole number, what is the lowest possible weight of the can of soft drink​

Answers

Answer:  339.5 grams

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

Explanation:

When we round that value mentioned above to the nearest whole number, we end up with 340 grams. So we have to think in reverse of the rounding process to try to see which values round to 340, and go for the lowest one.

Something like 339.49 will round to 339 grams. The same applies to 339.499 and so on. This means the lowest we can go is 339.5

Going the opposite direction, there technically is no largest possible value. We could have 340.49 or 340.499 or 340.4999 and so on. These values are all approaching 340.5 but never actually get there.

In short, the possible weights x are [tex]339.5 \le x < 340.5[/tex] where rounding any of those x values to the nearest whole number will get you 340 grams. We see that 339.5 grams is the smallest possible x value.

6. Sarah shops for DVDs with a $30.00 gift certificate. She finds a DVD that has an original price of $34.50
and is on sale for 25% off. Determine if Sarah has enough money to buy the DVD including 13% sales tax.

Answers

9514 1404 393

Answer:

  yes, Sarah has enough to buy the DVD

Step-by-step explanation:

The discount causes the price to be multiplied by 1 -25% = 0.75. The tax causes the price to be multiplied by 1 +13% = 1.13. After these multipliers are applied, the final price is ...

  $34.50(0.75)(1.13) = $29.24

Sarah's $30 gift certificate will cover the entire amount due.

Answer:

The answer is 5.5 because it tell you what it is

Step-by-step explanation:

simple geometry problem i cant understand

Answers

Answer:

23.5

Step-by-step explanation:

m∠Y = (m∠RTS - m∠VTX)/2

m∠Y = ((180 - m∠RTV) - (180 - m∠VTX))/2

m∠Y = ((180 - 95) - (180 - 142))/2

m∠Y = (85 - 38)/2

m∠Y = 47/2

m∠Y = 23.5

I will mark you as BRAINLIEST Please help me out here!! ​

Answers

Step-by-step explanation:

C1:

The pattern for this: you add 1/2 every time.

C2:

3, 3 1/2, 4, 4 1/2

C3:

5 1/2

C4:

The 14th

C5:

10

D1:

You add twice as more than you did before, starting at 3.

D2:

48, 96, 192, 384

D3:

192

D4:

The 9th

D5:

384

Hope this all helps.

Answer:

C)

1) As the sequence progresses, each term in the sequence increases by 1/2.    2) 3 ; 3 1/2 ; 4 ; 4 1/2

3) The 10th term in the sequence is 5 1/2.

4) 7 1/2 is the 14th term in the sequence.

5) The 17th term is 9.

D)

1) As the sequence progresses, each term multiplies by 2.

2) 48 ; 98 ; 192 ; 384

3) The 7th term in the sequence is 192.

4) 768 is the 9th term in the sequence.

5) The 8th term in the sequence is 384.

Step-by-step explanation:

FOR C : 1 + 1/2 = 1 1/2, 1 1/2 + 1/2 = 2, 2 + 1/2 = 2 1/2, and so on. This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.

FOR D: 3 x 2 = 6, 6 x 2 = 12, 12 x 2 = 24, and so on.  This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.

What is the volume of the regular pyramid?
576m
96 m
480 m
240 m

Answers

Answer:

volume is 576

Step-by-step explanation:

all you do to find volume is multiply LxWxH which will give you volume so just take 18m x 4m x 8m = 576m hopefully its a simply and direct explanation make me brainlist please !!!

The volume of a pyramid is 720 m³.

What is a pyramid?

A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

We have,

Base area:

A = (1/2) x apothem x perimeter

where the perimeter is the total length of all five sides of the pentagon.

So,

= 1/2 x 4 x (5 x 8)

= 2 x 40

= 80 m²

Height.

= 18 m

Now,

The volume of a pyramid.

= 1/2 x 80 x 18

= 80 x 9

= 720 m³

Thus,

The volume of a pyramid is 720 m³.

Learn more about pyramid here:

https://brainly.com/question/17615619

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plss i reallly need help


Answers

Answer:

7x^2 +7x

------------------

x^2 -9

Step-by-step explanation:

7x          (x+1)

------- * ----------

(x+3)    (x-3)

Multiply

7x^2 +7x

------------------

x^2 +3x-3x-9

7x^2 +7x

------------------

x^2 -9

Answer:

7x^2 +7x   /   x^2 -9

Step-by-step explanation:

PLEASE HELP !!
Given that p II q, fill in the reasons why each statement is true.

Answers

Answer:

1. Given

2. Def of Vertical Angles

3. Alternate Interior Angles

4. Def of Vertical angles

5. Opposite exterior angles

Step-by-step explanation:

The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.

Answers

Answer:

85 i guess

Step-by-step explanation:

The mean of the distribution is 70 and the standard deviation of the distribution is 4.

The shaded area in the distribution below represents approximately 95% of the data. This means that the shaded area is equal to 1.96 standard deviations from the mean.

The 68-95-99.7 rule states that 95% of the data in a normal distribution falls within 2 standard deviations of the mean. So, the shaded area in the distribution below represents the area between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.

The mean of the distribution is the center of the shaded area. The standard deviation of the distribution is the distance from the mean to the edge of the shaded area.

In this case, the mean of the distribution is approximately 70. The standard deviation of the distribution is approximately 4.

Here is a step-by-step explanation of how to find the mean and the standard deviation:

Identify the shaded area in the distribution.

Remember that the shaded area represents 95% of the data.

Use the 68-95-99.7 rule to determine that the shaded area is between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.

Find the mean by averaging the two points on the distribution that are 1.96 standard deviations from the mean.

Find the standard deviation by subtracting the mean from one of the points on the distribution that is 1.96 standard deviations from the mean.

Therefore, the mean of the distribution is approximately 70 and the standard deviation of the distribution is approximately 4.

To learn more about standard deviation here:

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Could someone please help me out?

Answers

Answer:

4.5

Step-by-step explanation:

let,

k×9²=300

k = 300/81

or, k = 100/27

as two triangles are similar,

if smaller triangle's corresponding side is x (let), then,

kx²=75

100x²/27=75

x²=75×27/100

x=√81/4

x=9/2

x=4.5

√25x+75 +3√x-2 =2+4√x-3 +√9x-18

Answers

Answer:

Step-by-step explanation:

[tex]\large \boldsymbol{ \boxed{\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b} }} \\\\\\ \sqrt{25x+75} +3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9x-18} \\\\ \sqrt{25} \cdot \sqrt{x+3}+3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9}\cdot \sqrt{x-2} \\\\5\sqrt{x+3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \ \ =2 +4\sqrt{x-3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \\\\(5\sqrt{x+3})^2 =(2+4\sqrt{x-3} )^2 \\\\ \ \ \ let \ \ t=x+3 \ \ ; \ \ \ t-6=x-3 \\\\ \big(5\sqrt{t} \ \big)^2=(2+\sqrt{t-6} )^2 \\\\[/tex]                                 [tex]\large \boldsymbol{} 25t=4+16\sqrt{t-6} +16(t-6) \\\\(9t+92)^2=(16\sqrt{t-6} )^2 \\\\81t^2+1656t+8464=256(t-6)\\\\81t^2+1400t+10000=0 \\\\ D=1400^2-324000=-128000=> \\\\D<0 \ \ no \ \ solutions[/tex]

A
D
С
B
If mZABD = 60°, then mZDBC = [?]°

Answers

Answer:

60

Step-by-step explanation:

Since the angles are shown equal in the diagram, ABD=DBC=60

What is the radius and diameter of the following circle? 5.1 cm

Answers

Answer:

A circle of radius = 0.8117 or diameter = 1.623 or circumference = 5.1 cm has an area of: 2.07 × 10 -10 square kilometers (km²) 0.000207 square meters (m²) 2.07 square centimeters (cm²)Step-by-step explanation:

Select the correct answer from each drop-down menu.
A student begins a proof of the law of cosines. His work is shown.

(png/image displayed in download)

The next step in the proof is to write an expression for the length of side AZ in terms of ____
Then the student should write an expression for the length of side AY in terms of____
Next he can use the ____
to relate x, y, z, and ____
(____) = blank, not known

1. blank choices
y,z and x
y,z and y
x,z and z

2. blank choices
z and Y
x and Z
z and X

3. blank choices
Pythagorean Theorem
Law of sines
tangent function

4. blank choices
X
Z
Y

Thanks for your time, have a nice day!

Answers

Answer:

1. y, z, and X

2. x and Z

3. Pythagorean theorem

4. X

Step-by-step explanation:

hope this helps

Given that
∠4

4
has a measurement of 103°, what is the measurement of
∠2

Answers

Answer:

103 = <2

Step-by-step explanation:

Angle 4 and angle 2 are vertical angles and vertical angles are equal

<4 = <2

103 = <2

Answer:

103

Step-by-step explanation:

Angle 4 and Angle 2 are congruent so they have the same value.

Given the preimage and image, find the dilation scale factor

Answers

Answer:

it should be 2 as your answer

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