A bus travels 324 km in 8 hours. How long will it take to travel 243 km ?​

Answers

Answer 1

Answer:

Six hours

Step-by-step explanation:

Answer 2

Answer:

6 hours

Step-by-step explanation:

Use a ratio and cross multiply to solve for x

324       243

------  =  -------

 8            x

324x = (8)(243)

324x = 1944

x = 6


Related Questions

A person flying a kite has released 176 m of string . the string makes an angle of 27 degrees with the ground . how high is the kite? how far away is the kite horizontally? answer to the nearest meter

Answers

Answer:

80 m High and 157 m away

Step-by-step explanation:

Cos(27)=x/176

x= 156.8 m

Sin(27) = y/176

y = 80

The answer is 80 high and 157 away

8.
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.

A. y – 270 = 45x; $45

B. y = 45(x – 4); $180

C. y = 45(x – 4); $270

D. y – 270 = 45(x – 2) ; $450

Answers

Answer:

D. y – 270 = 45(x – 2) ; $450

Step-by-step explanation:

GradPoint answer

I got it correct on the quiz.

Need help with a math question

Answers

First: Find out their decimal form.

- 2 1/6 as a decimal is 2.16

7/3 as a decimal

To get 7/3 converted to decimal, you simply divide 7 by 3. Don't worry. You don't need to get the calculator out, because we did this for you.

7/3 as a decimal is:

2.333333333

it takes an engineer three hours to drive to his brother's house at an average speed of 50miles per hour. If he takes the same route home, but his average speed is 60 miles per hour, what is the time, in hours that it takes him to drive home?​

Answers

Answer:

2.5 hours

Step-by-step explanation:

→ Write the formula

Speed = Distance ÷ Time

→ Find the distance for 3 hours at a speed of 50 mph

Distance = Speed × Time ∴ 3 × 150 = 150

→ Now work out the time

150 ÷ 60 = 2.5 hours

Heyyy help maybe????????????

Answers

Its 1 2/3 yards

Since 3 ft = 1 yard

A truck can be rented from Company A for ​$100 a day plus ​$0.50 per mile. Company B charges ​$40 a day plus ​$0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing ​miles, the rental costs are the same from either company.

Answers

Answer:

18 miles

Step-by-step explanation:

Let

The number of miles = x .

According to Question ,

100 + 0.5(x) = 40 + 0.8(x) 100 + 0.5x = 40+ 0.8x 100 - 40 = 0.8x - 0.5x 60 = 0.3x x = 60/3 * 10 x = 18

(1 point) Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have the following properties: (a) are divisible by 5 and by 7. 257 (b) are divisible by 5 but not by 7. (c) are divisible by 5. (d) are divisible by 7.

Answers

Using arithmetic sequences, it is found that there are:

a) 257 numbers that are are divisible by 5 and by 7.

b) 1543 numbers that are divisible by 5 but not by 7.

c) 1800 numbers that are divisible by 5.

d) 1286 numbers that are divisible by 7.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term.

Item a:

Numbers that are divisible by 5 and 7 are multiples of 35, as the least common multiple of 5 and 7 are 35, thus we have an arithmetic sequence with [tex]d = 35[/tex].The first multiple of 35 in this interval is 1015, so [tex]a_1 = 1015[/tex].The last multiple of 35 in this interval is 9975, so [tex]a_n = 9975[/tex].

We apply the general formula and solve for n, thus:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]9975 = 1015 + 35(n-1)[/tex]

[tex]35n - 35 = 8960[/tex]

[tex]35n = 8995[/tex]

[tex]n = \frac{8995}{35}[/tex]

[tex]n = 257[/tex]

There are 257 numbers that are are divisible by 5 and by 7.

Item b:

First, we find the number of multiples of 5, with [tex]a_1 = 1000, a_n = 9995, d = 5[/tex]. Thus:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]9995 = 1000 + 5(n-1)[/tex]

[tex]5n - 5 = 8995[/tex]

[tex]5n = 9000[/tex]

[tex]n = \frac{9000}{5}[/tex]

[tex]n = 1800[/tex]

Of those numbers, 257 are multiples of 35, which means that they also are multiplies of 7, thus they are removed.

1800 - 257 = 1543.

There are 1543 numbers that are divisible by 5 but not by 7.

Item c:

From the previous item, there are 1800 numbers that are divisible by 5.

Item d:

We find the number of multiples of 7, with [tex]a_1 = 1001, a_n = 9996, d = 7[/tex]. Thus:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]9996 = 1001 + 7(n-1)[/tex]

[tex]7n - 7 = 8995[/tex]

[tex]7n = 9002[/tex]

[tex]n = \frac{9002}{7}[/tex]

[tex]n = 1286[/tex]

There are 1286 numbers that are divisible by 7.

A similar problem is given at https://brainly.com/question/23901992

What is an equation of the line that passes through the point (-2,7)(−2,7) and is perpendicular to the line x-4y=24x−4y=24?

Answers

9514 1404 393

Answer:

  4x +y = -1

Step-by-step explanation:

The equation of the perpendicular line can be written by ...

swapping the x- and y-coefficients, negating one of themchoosing a new constant so the line goes through the given point.

The x- and y-coefficients in the given equation are 1 and -4, respectively. Since we want the leading coefficient positive, it is convenient to use 4 and 1 as the coefficients in the new equation. The constant can be found by substituting (x, y) = (-2, 7) to see what it is.

  4x +y = 4(-2) +7 = -1

The desired perpendicular line has an equation ...

  4x +y = -1

Maths Question - Topic Pythagoras

Please answer the question. Awarding 20 points

Answers

So for this you use a formula which is

a2 + b2 = c2

You name the highest one c, the rest are you choice

so now it will be - x2 + 7 2 = 14 2

you now square them,

now they will be x2 + 49 = 196

now it will be easy to solve it.

If lineman works 9 1/2 hours a day on a certain job at $28.70 per hour, what is the pay for a day?

Answers

9.5 x 28.70 = 272.65

- 4. What is the roster form of the set K = {x/x are odd numbers from 2 to 8} ? A. H = {2, 4, 6, 8} C. H = {3, 4, 5, 6, 7} B. H = {3, 5, 7} D. H = {2,8} 1 2 3 ? Which method for theiva CIV & CLUJ -​

Answers

Answer:  H = {3, 5, 7}

Explanation:

We simply list any odd number that is between 2 and 8. The term "roster form" can be thought of as listing the roster of a sports team (eg: baseball). So instead of describing what the numbers look like, we list out the numbers themselves. Those numbers being 3, 5 and 7.

Something like {2,4,6,8} is ruled out because we're dealing with odd numbers only.

troy is going to spain and needs to convert his dollars to Euros. He knows that when he goes, $5.00 is equivalent to about 3.45 Euros.

29. Find the unit rate of Euros per dollar

30. how many Euros will he get for $125?

Answers

Step-by-step explanation:

answer for number 2 is 85 euros

.68 euros per usd

SPANISH
help i need an answer to these question (and please one that isn't a scam)

Answers

Answer:

for the first one its the middle answer

Step-by-step explanation:

i speak almost fluent spanish but i am not amazing at math

If 400 kids went to the amusement park and only 120 came back how many got lost?

Answers

Answer:

280

Step-by-step explanation:

400 - 120=280

280= number of children lost

What is the area of a circle with a diameter of 10cm (used 3.14)

Answers

Answer:

78.5

Step-by-step explanation:

A=[tex]pie[/tex]r^2

A=3.14 times 5^2

A=3.14 times 25

A= 78.5

Jesus Loves You!!!

78.5 is the correct answer

4x^2y^7(-7x^6z^9+2y^3+6z^3)

Answers

Answer:

-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³

Step-by-step explanation:

1) Distribute

4x²y⁷(-7x⁶z⁹ + 2y³ + 6z³)

-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³

Answer:

-28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.

Step-by-step explanation:

4x^2y^7(-7x^6z^9+2y^3+6z^3)

Expanding:

= -28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.

In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat 270 passengers and cost $200 million each, while Boeing Dreamliner 787-9s seat 240 passengers and cost $250 million each. You are the purchasing manager of an airline company and have a spending goal of $4950 million for the purchase of new aircraft to seat a total of 5850 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to buy twice as many Boeings as Airbuses. Given the selection of three aircraft, how many of each should you order?

Answers

The number of order of each aircraft is an illustration of simultaneous equations.

You should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s

To do this, we make use of the following representations:

A represents Airbus A330-300sB represents Boeing 767-300ERsC represents Boeing Dreamliner 787-9s

From the question, we have the following equations

[tex]\mathbf{330A + 270B + 240C = 5850}[/tex] ----the number of passengers

[tex]\mathbf{B + C = 2A}[/tex] --- the relationship between the number of planes

[tex]\mathbf{250A + 200B + 240C =4950 }[/tex] --- the budget

Make A the subject in [tex]\mathbf{B + C = 2A}[/tex]

[tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]

Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{330A + 270B + 240C = 5850}[/tex]

[tex]\mathbf{330 \times \frac{1}{2}(B + C) + 270B + 240C = 5850}[/tex]

[tex]\mathbf{165B + 165C + 270B + 240C = 5850}[/tex]

[tex]\mathbf{435B + 405C = 5850}[/tex]

Divide through by 15

[tex]\mathbf{29B + 27C = 390}[/tex]

Make C the subject

[tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]

Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{250A + 200B + 240C =4950 }[/tex]

[tex]\mathbf{250 \times \frac{1}{2}(B + C) + 200B + 240C =4950 }[/tex]

[tex]\mathbf{125B + 125C + 200B + 240C =4950 }[/tex]

[tex]\mathbf{325B + 365C =4950 }[/tex]

Divide through by 5

[tex]\mathbf{65B + 73C =990}[/tex]

Substitute [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]

[tex]\mathbf{65B + 73\times\frac{390 - 29B}{27} =990}[/tex]

Multiply through by 27

[tex]\mathbf{65B \times 27+ 73\times(390 - 29B) =990 \times 27}[/tex]

[tex]\mathbf{1755B+ 28470 - 2117B =26730}[/tex]

Collect like terms

[tex]\mathbf{1755B- 2117B =26730 - 28470}[/tex]

[tex]\mathbf{-362B =-1740}[/tex]

Solve for B

[tex]\mathbf{B =\frac{1740}{362}}[/tex]

[tex]\mathbf{B =5}[/tex] --- approximated

Substitute [tex]\mathbf{B =5}[/tex] in [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]

[tex]\mathbf{C = \frac{390 - 29 \times 5}{27}}}[/tex]

[tex]\mathbf{C = \frac{245}{27}}}[/tex]

[tex]\mathbf{C = 9}[/tex] --- approximated

Recall that: [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]

So, we have:

[tex]\mathbf{A = \frac{1}{2} \times (5 + 9)}[/tex]

[tex]\mathbf{A = \frac{1}{2} \times 14}[/tex]

[tex]\mathbf{A = 7}[/tex]

Hence, you should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s

Read more about simultaneous equations at:

https://brainly.com/question/16763389

what is square root of 50

Answers

answer : 7.07106781187

Answer:

7.071067811865475

Step-by-step explanation:

Need answer please !!

Answers

Answer:

Step-by-step explanation:

Least common denominator is 10

there are 10/10 portions in the whole circle

1/2 = 5/10

2/5 = 4/10

10/10 - 5/10 - 4/10 = 1/10

Need help with math problem

Answers

Answer:

1/7

Step-by-step explanation:

Sana nakatutulong

#Carry on learning

Answer:

I Don't know if this is correct!

Step-by-step explanation:

1/7 of boys are not bringing their lunch as you can see.

I think it is 2/7

PLS HELP ME WILL GIVE BRAINLIEST NO LINKS PLZ!!!

Answers

Answer:

130

Step-by-step explanation:

sorry if wrong

have a great day

!HELP 20 POINTS!! Which table represents exponential growth?

Answers

Answer: The second table represents exponential growth.

Step-by-step explanation:

The second tables Y values go up with the X values so it is exponentia. The first table the Y values rise and then fall with the X values so it is not exponentia. Hope this helps!

Mary has 3 more apples than Ted and 3 times as many apples as Alex. How many apples do all three of them have combined if Mary has 24 apples

Answers

Answer:

52

Step-by-step explanation:

24-3=21 21÷3=7 24 + 21 + 7 = 52

What is the radius of a hemisphere with a volume of 94 m", to the nearest tenth of a

meter?

Answers

Answer:

3.553774

Step-by-step explanation:

[tex] \frac{2}{3} \pi {r}^{3} = 94[/tex]

h

works out to 3.553774

The radius of the hemisphere with a volume of 94 m³ is :

r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]

What is a hemisphere? What is a mathematical function, equation and expression?               hemisphere : a hemisphere is half of a sphere.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is hemisphere with a volume of 94 m³.

The volume of sphere is : V{S} = (4/3)πr³.So, the volume of hemisphere will be : V{S}/2 = V{H} = (2/3)πr³.So, we can write as :

    (2/3)πr³ = 94

    πr³ = (94 x 3/2)

    πr³ = 47 x 3

    πr³ = 141

    r³ = (141/π)

    r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]

   

Therefore, the radius of the hemisphere with a volume of 94 m³ is :

r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]

To solve more questions on hemispheres, visit the link below -

https://brainly.com/question/29275358

#SPJ5

What is the value of x?



Enter your answer in the box. I need help ASAP/ Giving Branniest

x =
°

Answers

Answer:

x = 80

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

70+30+x = 180

100+x = 180

Subtract 100 from each side

100+x-100 = 180-100

x = 80

Find the slope between these two points:
(6, -12), (15, -3)

Answers

Answer:

The slope is 1

Step-by-step explanation:

Answer:

1+6/9

Step-by-step explanation:

-3-12,

6 -15

=-15/-9=1 and6/9

At a recent meeting at the American College of Asthma, Allergy, and Immunology, researchers reported that allergy vaccinations are effective in treating sinusitis (inflammation of the membrane lining the facial sinuses) in individuals predisposed to allergies. Specifically, the researchers reported that of individuals predisposed to allergies find relief from their sinusitis after allergy vaccinations. Suppose that this number is accurate and that individuals predisposed to allergies are chosen at random and given allergy vaccinations.
a. Estimate the number of individuals in the random sample who do not find relief from their sinusitis by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).
b. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.

Answers

I don’t know what the answer is but I just came by to say I hope you have a great day

The distance from Seattle to Orlando is about 3,000 miles. The distance from Earth to the moon is 80 times that distance.

What is the distance from Earth to the moon?

Answers

Answer:

vggyyrt5 gf t66t6

Step-by-step explanation:

yy dry t6t ty y yuri u fry uu huf yy875

Big brainers

help me pls

Answers

Answer:

$36 each

Step-by-step explanation:

she paid $96 during a sale for 4 rose bushes

96÷4=24

so $24 per rose bush during the sale

it said that each one was $12 less than the original price

so 24+12=36

X = 6(2+3[2{7-3)+(4+1)-3]}​

Answers

i’m pretty sure the answer is 192
Other Questions
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