Lúc 6 giờ, một ô tô xuất phát từ A đến B với vận tốc trung bình 40km/h. Khi đến B,

người lái xe làm nhiệm vụ giao nhận hàng trong 30 phút rồi cho xe quay trở về A với vận

tốc trung bình 30km/h. Tính quãng đường AB, biết rằng ô tô về đến A lúc 10 giờ cùng

ngày.

Answers

Answer 1

Answer:

Đáp án:

60km

Step-by-step explanation:

30 phút

=

1

2

giờ

Ô tô đi từ A đến B rồi từ B về A mất số thời gian là:

10

6

1

2

=

3

,

5

giờ (không tính thời gian nhận hàng)

Gọi độ dài quãng đường AB là

x

(km)

Ta có:

Thời gian đi từ A đến B là

x

40

(quãng đường chia vận tốc)

Thời gian đi từ B đến A là

x

30

Ta có phương trình:

x

40

+

x

30

=

3

,

5

x

=

60

(km)

Vậy quãng đường AB là 60km.


Related Questions

find the missing length indicated​

Answers

Answer:

x = 240

Step-by-step explanation:

Apply the leg rule to find the value of x.

Leg rule is given as:

Hypotenuse/leg 1 = leg 1/part 1

Hypotenuse = 400

Leg 1 = x

Part 1 = 144

Plug in the known values into the formula

400/x = x/144

Cross multiply

x*x = 144*400

x² = 57,600

Take the square root of both sides

√x² = √57,600

x = 240

(x+2)^2 ≠ 0 ? hihihihihihi

Answers

Yes, you are correct

if possible help me in this. I need to find the two odd numbers...​

Answers

Part (a)

Consecutive odd integers are integers that odd and they follow one right after another. If x is odd, then x+2 is the next odd integer

For example, if x = 7, then x+2 = 9 is right after.

Answer:  x+2

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

Part (b)

The consecutive odd integers we're dealing with are x and x+2.

Their squares are x^2 and (x+2)^2, and these squares add to 394.

Answer: x^2 + (x+2)^2 = 394

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

Part (c)

We'll solve the equation we just set up.

x^2 + (x+2)^2 = 394

x^2 + x^2 + 4x + 4 = 394

2x^2+4x+4-394 = 0

2x^2+4x-390 = 0

2(x^2 + 2x - 195) = 0

x^2 + 2x - 195 = 0

You could factor this, but the quadratic formula avoids trial and error.

Use a = 1, b = 2, c = -195 in the quadratic formula.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(1)(-195)}}{2(1)}\\\\x = \frac{-2\pm\sqrt{784}}{2}\\\\x = \frac{-2\pm28}{2}\\\\x = \frac{-2+28}{2} \ \text{ or } \ x = \frac{-2-28}{2}\\\\x = \frac{26}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 13 \ \text{ or } \ x = -15\\\\[/tex]

If x = 13, then x+2 = 13+2 = 15

Then note how x^2 + (x+2)^2 = 13^2 + 15^2 = 169 + 225 = 394

Or we could have x = -15 which leads to x+2 = -15+2 = -13

So, x^2 + (x+2)^2 = (-15)^2 + (-13)^2 = 225 + 169 = 394

We get the same thing either way.

Answer: Either 13, 15  or  -15, -13

1000000+200000=?

fun for me

Answers

Answer:

1,200,000

Step-by-step explanation:

hope i helped

Answer:

1.200.000

Step-by-step explanation:

[tex]thankyou[/tex]

Find the length of the arc with central angle of 205° and radius of 7 cm. Use 3.14 for pi(π) and round to the nearest hundredth.

12.52 cm
25.03 cm
87.61 cm
153.86 cm

Answers

The length of the arc with a central angle of 205° is 25.03 cm

Length of an arc

The formula for calculating the length of an arc is expressed as:

L = rtheta

Given the following parameters

r = 7cm

theta = 205° = 3.57792 radians

L = 7(3.57792)

L = 25.04544

Hence the length of the arc with a central angle of 205° is 25.03 cm

Learn more on length of an arc here: https://brainly.com/question/2005046

A square has an area of 100 m squared. What is the length of each side?

Answers

Answer:

10m

Step-by-step explanation:

area of a square =s^2

therefore s^2=100

s= under root 100

= 10

8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Answers

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that [tex]\mu = 32, \sigma = 1.5[/tex]

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 32}{1.5}[/tex]

[tex]X - 32 = -1.645*1.5[/tex]

[tex]X = 29.5[/tex]

Heights of 29.5 and below could be a problem.

dilations geometry!

Answers

Answer:

A' (0,20)

B' (30,-20)

C' (-10,-40)

Answered by GAUTHMATH

A cafeteria offers oranges, apples, or bananas as its fruit option. It offers peas, green beans, or carrots as the vegetable option. Find the number of fruit and vegetable options. If the fruit and the vegetable are chosen at random, what is the probability of getting an orange and carrots? Is it likely or unlikely that a customer would get an orange and carrots?

Answers

i don't know please answer me

Solve the equation | 7x + 5| = |3x - 13|​

Answers

I 7X + 5 I = I 3X- 13I

7×+5 = 3x +13

7X-3x = 13-5

4x = 8

X= 8/4

X=2

please help me! anyone pls

Answers

Answer:

Option c is the correct answer

Step-by-step explanation:

Reason : -

When,

x = 6, y = 3

x / y

= 6 / 3

= 2 / 1

= 2

When,

x = 10, y = 5

x / y

= 10 / 5

= 2 / 1

= 2

When,

x = 14, y = 7

x / y

= 14 / 7

= 2 / 1

= 2

These ordered pairs represents a proportional relationships.

Select an expression that can be used to find the total number of points Simone can earn

Answers

Answer:45

Step-by-step explanation:

Determine whether the statement below is true or false boxy is rectangle

Answers

True I think I am not Fr Fr tho

What is the y-intercept of the line whose equation is y = –2x + 8?​

Answers

Answer:

(0,8)

Step-by-step explanation:

y = –2x + 8

The y intercept is found when x =0

y = –2*0 + 8

y = 8

The y intercept is

(0,8)

PLSSS HELPPP
give me the answers and explain

Answers

Y: -4, -2, 0, 2, 4, 6

x-1 = [tex]\sqrt{x} -1[/tex]

Answers

Answer:

[tex]x = 0[/tex] or [tex]x = 1[/tex].

Step-by-step explanation:

Start by adding [tex]1[/tex] to both sides of this equation:

[tex](x - 1) + 1 = (\sqrt{x} - 1) + 1[/tex].

[tex]x = \sqrt{x}[/tex].

If two numbers are equal, their square should also be equal. Therefore, since[tex]x = \sqrt{x}[/tex], it must be true that [tex]x^{2} = (\sqrt{x})^{2}[/tex]. That is: [tex]x^{2} = x[/tex].

Notice that since [tex]x[/tex] is under a square root, the result must ensure that [tex]x \ge 0[/tex].

Subtract [tex]x[/tex] from both sides of the equation:

[tex]x^{2} - x = x - x[/tex].

[tex]x^{2} - x = 0[/tex].

Factor [tex]x[/tex] out:

[tex]x\, (x - 1) = 0[/tex].

Hence, by the Factor Theorem, [tex]x = 0[/tex] and [tex]x = 1[/tex] would satisfy this rearranged equation. Because of the square root in the original equation, these two value must be non-negative ([tex]x \ge 0[/tex]) to qualify as actual roots of that equation.

In this example, both [tex]x = 0[/tex] and [tex]x = 1[/tex] qualify as roots of that equation.

Math Problem

x-1 = \sqrt{x} -1

Math For Solution

#BrainliestBunch

can a right triangle be obtuse?

Answers

No, a triangle can not be obtuse because a right angle is 90 degrees and an obtuse angle has to be over than 90 degrees like an obtuse angle has to be like 91 degrees.

Which expression is equivalent to 206.230?
O a. 2 x 100 + 6 x 10 + 2 x 1 + 3 < 1/10
O b. 2 x 100 + 6 x 1 + 2 x 1/10 + 3 < 1/100
O c. 2 × 10 + 6 x 1 + 2 x 1/10 + 3 * 1/100

Answers

Answer:

b.

Step-by-step explanation:

hsgusuhsghshjsuhsyh

Find the reciprocal of I​

Answers

Answer:

the reciprocal of 1 is 1

Step-by-step explanation:

1/1 flipped is still equal to 1

the reciprocal of 1 is 1
because 1/1 flipped is still 1

19) The x coordinate of a point that lies on the x-axis is negative.

Answers

Answer:

false

Step-by-step explanation:

i'm not sure if this is a true or false question, but if so, it is false

the x-axis has a positive side and a negative side, so the coordinate isn't necessarily negative. it could also be zero if the point is at the origin

hope this helps!

Which expression can be used to convert 80 dollars (USD) to Australian dollars (aud) 1 USD=1.0343 AUD 1 AUD 0.9668 USD

Answers

Answer: [tex]1\ \text{USD}\equiv 1.35\ \text{AUD}[/tex]

Step-by-step explanation:

1 USD is equivalent to 1.35 AUD

Therefore, 80 USD is equivalent to

[tex]\Rightarrow 80\ \text{USD}\equiv 80\times 1.35\\\\\Rightarrow 108\ \text{AUD}[/tex]

ok so this... is confusing the hell outta me any help?

Answers

Answer:

y = 24

Step-by-step explanation:

The sum of the angles of a triangle is 180

A+B+C = 180

ABC = 60

We know 2x-4 = 60

2x -4+4 = 60+4

2x = 64

x = 64/2 = 32

A = 3x = 3(32) = 962x-4 = 60

B = 60

Using the first equation

96+ 60 +y = 180

156 +y =180

y = 180-156

y = 24

Describe how two column and flowchart proofs are similar?

Answers

Answer:

Proofs begin with one or more given statements, which are provided. ... In a two column proof, the statements are written in one column, and the reasons are written next to them in a second column. A flow proof uses a diagram of to show each statement leading to the conclusion

Step-by-step explanation:

in a survey of 850 students in a school 90% reported having pets at home. if the margin of error is +3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home

Answers

Answer:

86.6% ; 93.4%

Step-by-step explanation:

To obtain the population proportion from the sample, we calculate the confidence interval ;

Confidence interval = phat ± margin of error

Phat = 90% ; margin of error = +3.4%

Hence,

90% ± 3.4%

(90 - 3.4)% ; (90 + 3.4)%

86.6% ; 93.4%


Find the distance between points M(-1,-10) and P(-12,-3). Round to the nearest tenth

Answers

Answer: Distance = √170

Step-by-step explanation:

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Find the distance between M and P, where:

M (-1, -10)P (-12, -3)

[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]Distance = \sqrt{(-3+10)^2+(-12+1)^2}[/tex]

[tex]Distance = \sqrt{(7)^2+(-11)^2}[/tex]

[tex]Distance = \sqrt{49+121}[/tex]

[tex]Distance = \sqrt{170}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

(x₁ , y₁) = (-1 , -10)   & (x₂,y₂)=(-12,-3)

Distance = [tex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]

               [tex]= \sqrt{(-12-[-1])^{2}+(-3-[-10])^{2}}\\\\= \sqrt{(-12+1)^{2}+(-3+10)^{2}}\\\\=\sqrt{(-11)^{2}+(7)^{2}}\\\\= \sqrt{121+49}\\\\=\sqrt{170}[/tex]

               = 13.03

               = 13

please help (picture) 25 points

Answers

Answer:

1) perimeter = sum of all the sides = 3y+9+2y+4+y+3+2y+4 = 8y+20

2) P = 4(5x-2) = 20x-8

Solve the equation.
8-2x = -8x + 14
O x=-1
Ox=-3/5
Ox= 3/5
Ox=1

Answers

The solution to the algebraic equation is x = 1. The last option is correct.

How do we solve a linear algebraic equation?

The solution to a linear algebraic equation can be achieved by finding the like terms and equating them to the constant variable.

From the given information:

8 - 2x = -8x + 14

Collecting the like terms, we have:

-2x + 8x = 14 - 8

6x = 6

Divide both sides by 6, we have:

x = 1

Learn more about solving linear algebraic equations here:

https://brainly.com/question/1365672

#SPJ1

Jacob earned $80 babysitting and deposited the money into his saving account. The next week he spent $85 on video games. Use integers to describe the weekly changes in Jacob's savings account balance.

Answers

Answer:

Net change in money: decrease of $5

Step-by-step explanation:

supposing Jacob started with x dollars:

He gained $80 from babysitting: x+80

Lost 85: x + 80 - 85

--> x - 5

Therefore, at the end of the week, Jacob lost 5 dollars

Please help me to solve this two questions​

Answers

Answer:

c.8,625grams of flour

4a. X=12

Y=30

Z=60

Step-by-step explanation:

For c. , You have to convert the mixed numbers to fractions.

2¾ cups of flour= 2×4=8

8+3=11

Answer: 11/4 (11 over 4)

You multiply the 2 (whole number) by the 4 (bottom number) and then you get *8*

You then take the 8 (which was your answer) and add 3. This will give you 11

You take the 4 and use it as your denominator (bottom number) for the 11. So no need to find a denominator, because you just use the 4

For the fruit cake, she uses *1½* cups of flour more than carrot cake

Calculation:

1½ converted to an improper fraction= 1×2=2

2+1=3

Answer: 3/2 (3 over 2)

"Customer orders *3* carrot cakes and *4* fruit cakes

How many cups of flour are required to bake for the cakes ordered by the customer?"

11/4÷3= 8,25grams

3/2÷4= 0,375grams

8,25+0,375=8,625grams in total

*Feel free to correct me as I might be wrong!*

Which graph corresponds to the function f(x) = x2 + 4x – 1?

Answers

Answer:

1

Step-by-step explanation:

I graphed it to check. x^2+4x-1 has a vertex of (-2,-5).

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