From a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 11 miles per hour. In how many hours will they be 54 miles apart?

Answers

Answer 1

Answer:

Both boats will be 54 miles apart after 3 hours.

Step-by-step explanation:

Given that from a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 11 miles per hour, to determine how many hours they will be 54 miles apart, the following calculation must be performed :

54 / (11 + 7) = X

54/18 = X

3 = X

Therefore, both boats will be 54 miles apart after 3 hours.


Related Questions

The volume of a right cylinder is 2,000π cubic feet, and the height is 20 feet. What is the length of the radius in feet?

Answers

Answer:

r = 10 ft

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

Volume V = 2000π ft³

Height h = 20 ft

Radius r = unknown

Step 2: Solve for r

Substitute in variables [Volume of a Right Cylinder Formula]:                      2000π ft³ = πr²(20 ft)[Division Property of Equality] Isolate r term:                                                 100 ft² = r²Rewrite:                                                                                                             r² = 100 ft²[Equality Property] Square root both sides:                                                    r = 10 ft

Answer:10 ft

Step-by-step explanation:

Marcia is mixing lemonade. She use 3 parts water to 1 part syrup. If she has 9 parts water, how much syrup will she need to complete the mixture?

Answers

Answer:

if Marcia uses 9 parts water, that mean she will have to use 3 parts syrup

Step-by-step explanation:

this is ratios,

so to find out how many syrup she needs, you need to see how much she used water from the original recipe

so:

9 ÷ 3 = 3

so she multiplied three to get to nine, so we have to do the same to the syrup

_ ÷ 1 = 3

or:

3 × 1 = 3

so the answer is 3

a box of 10 chocolates cost $7.30. How much does one chocolate cost?
p.s I will make you brainliest only if you explain GOOD!!​

Answers

Answer : 73¢

You know that 10 chocolates are $7.30, so, in order to find the cost of 1 chocolate, you have to divide $7.30 by 10.

7.30 / 10 = 0.73

Answer is 0.73 or 73¢

Answer:

One costs $0.73

Step-by-step explanation:

When looking at this, you should divide 7.30/10. This will show each individual bar. The quotient is 0.73 which is the price of each one chocolate.

Determine the center and radius of the following circle equation: x^2+y^2+20x+8y+35=0

Answers

Answer:

center: (-10,-4)

radius: 9

Step-by-step explanation:

Let's start off by moving the 35 to the other side and grouping the x and y terms we have

(x²+20x)+(y²+8y)= -35

Next we take the term with the x coeficcent, divide it by 2, and square it

so

for the x we would do (20/2)²=100

and make sure we add that to the 35

(x²+20x+100)+(y²+8y+16)= -35+100+16

next factor everythign to get

(x+10)²+(y+4)²=81

therefore the center is (-10,-4)

and the radius is √81 or 9

There are 32 founding members of an organization. The function y 3x + 32 can be used to determine the number of members in the organization
after 3 months.

Answers

I am going to assume that 3 is supposed to be substituted for x so 3(3)+32= 41 members

Answer:

https://studyandanswers.com/mathematics/question22956714

Step-by-step explanation:

I am not the bot btw. This is the only way I can help you. If you don't like it well to bad

Pls help ASAP !!!!!!!!

Answers

Answer:

C I got that

shdjdhfbfhfkdnfhfhfhfbf it wants me to do 20 characters long

at the school dance the ratio of students who bought snacks to the students who do not buy snacks is 426 based on this ratio how many of these students would buy a snack if there were a total of 180 students that attended the dance​

Answers

200

Let the total number of customers that day be "x"
30% of total customers bought a snack and that is 120.
So we can say:
30% of total (x) is 120
Note: 30% converted to decimal is 30/100 = 0.3
This can be translated to an algebraic equation as:
0.3x = 120
Now, we can solve for x, the total customers:
0.3x = 120
x = 120/0.3
x = 400
Since, 80% bought drink, we find 80% of 400:
80% = 80/100 = 0.8
0.8 * 400 = 320
The store sold 320 drinks and 120 snacks. So drinks outweigh snacks be:
320 - 120 = 200
So,
200 more drinks than snacks

four causes of solar eclips​

Answers

Answer:

A solar eclipse occurs when the moon gets between Earth and the sun, and the moon casts a shadow over Earth. A solar eclipse can only take place at the phase of new moon, when the moon passes directly between the sun and Earth and its shadows fall upon Earth's surface

A coordinate plane with a straight line with a positive slope. The line starts at (0, 0) and passes through points labeled A at (2, 1) and B at (4, 2) and through (8, 4). There is a vertical dashed line starting at point A extending two units to the right and one unit up to point B.
What is the vertical change from Point A to Point B?


What is the horizontal change from Point A to Point B?


What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary

Answers

Answer:

On edge 2021

Step-by-step explanation:

!st:1

2nd:2

3rd:0.5

Answer:

A coordinate plane with a straight line with a positive slope. The line starts at (0, 0) and passes through points labeled A at (2, 1) and B at (4, 2) and through (8, 4). There is a vertical dashed line starting at point A extending two units to the right and one unit up to point B.

What is the vertical change from Point A to Point B?

1

What is the horizontal change from Point A to Point B?

2

What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary

0.5

Step-by-step explanation:

Identify the distance between points (3,7,1) and (9,6,7), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.

Answers

Step-by-step explanation:

[tex]range = (3,7,1) - (9,6,7) \\ = ( - 6,1, - 6) \\ distance = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } \\ = \sqrt{ {( - 6)}^{2} + {1}^{2} + {( - 6)}^{2} } \\ = \sqrt{73} \\ = 8.5 \: units[/tex]

The distance between points (3,7,1) and (9,6,7) is 8.54 units and the midpoint of the segment is (6, 6.5, 4).

What is Distance?

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

We need to find the distance between points (3,7,1) and (9,6,7).

Distance=√(9-3)²+(6-7)²+(7-1)²

=√6²+(-1)²+(6)²

=√36+1+36

=√73

=8.54 units

So the distance between the two points is approximately 8.5 units.

To find the midpoint of the segment between the two points, we use the midpoint formula:

midpoint = ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2)

Using the given points, we have:

midpoint = ((3+9)/2, (7+6)/2, (1+7)/2)

= (6, 6.5, 4)

So the midpoint of the segment is (6, 6.5, 4).

Hence,  the distance between points (3,7,1) and (9,6,7) is 8.54 units and the midpoint of the segment is (6, 6.5, 4).

To learn more on Distance click:

https://brainly.com/question/15172156

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6. The first quartile (rounded to the nearest tenth if needed) of the following data set is: 15. 16. 17. 23. 11. 19. 20. 15, 18, 22, 15​

Answers

Answer:

Step-by-step explanation:

first of all arrange this data from ascending to descending order.

11,15,15,15,16,17,18,19,20,22,23

use formula

N+1/4 (N means no of observations)

11+1/4

12/4

3 rd term

therefore Q1=15

What angles are adjacent to angle 4

Answers

Answer:

2,3

Step-by-step explanation:

They are the closest angles to 4.

What is 5% of 24.8 ?

Answers

Answer: 1.24

Hope that helped! :)

5% of 24.8 is 1.24.....

what is the diameter of 18

Answers

Answer:

36

Step-by-step explanation:

radius-18

diameter = r×2

=18×2=36

hope it will help u

always remember the formula for the diameter and radius so just incase

diameter= x

radius=x÷2

Answer:

Step-by-step explanation:

What is the diameter of  a circle with a radius 18?

d=36

Solution

d=2r=2·18=36

What is the diameter of a circle with the circumference of 18?

d≈5.73

Using the formulas

C=2πr

d=2r

Solving ford

d=C/ π=18/ π≈5.72958

griswolds spent 3000 on clothes in 2017. if they increase the amount thye spend on clothes by 5% each year. how much money will they spend on clothing theough the year 2020

Answers

Answer:

$3,307.5

Step-by-step explanation:

It's 3000*1.05=3150

3150*1.05=3,307.5

Answer:

3472.875

Step-by-step explanation:

5% of 3000 is 150, therefore he spent 3150 in 2018.

5% of 3150 is 157.50 therefore he spent 3307.50 in 2019

5% of 3307.50 is 165.375 therefore he spent 3472,875 in 2020

Which set of data has the smallest difference between the mean and the median?
O A 13, 42, 17, 26, 38
OB. 28, 7, 36, 8, 17
OC 14, 29, 38, 7, 13
OD 23, 36, 25, 38, 30

Answers

Answer:

D 23, 36, 25, 38, 30

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all it's values divided by the number of values.

Median of a data-set:

The median of a data-set is the value that separates the lower 50% from the upper 50% on the ordered set.

If the cardinality n is odd, as in this case, the median is the element at the position (n+1)/2. Since in this case, n = 5, the median is the 3rd element in the ordered set.

A 13, 42, 17, 26, 38

Ordered set: 13, 17, 26, 38, 42

Median: 26

Mean: (13+17+26+38+42)/5 = 27.2

Difference: 27.2 - 26 = 1.2

B. 28, 7, 36, 8, 17

Ordered set: 7, 8, 17, 28, 36

Median: 17

Mean: (7+8+17+28+36)/5 = 19.2

Difference: 19.2 - 17 = 2.2

C 14, 29, 38, 7, 13

Ordered set: 7, 13, 14, 29, 38

Median: 14

Mean: (7+13+14+29+38)/5 = 20.2

Difference: 20.2 - 14 = 6.2

D 23, 36, 25, 38, 30

Ordered set: 23, 25, 30, 36, 38

Median: 30

Mean: (23+25+30+36+38)/5 = 30.4

Difference: 30.4 - 30 = 0.4

Option d has the smallest difference.

Find the missing side or angle.
Round to the nearest tenth.
C=53°
B= 80°
a=2
b=[?]

Answers

Answer:

2.69 approximately 3

Step-by-step explanation:

53⁰+80⁰+A=180⁰(sum of angles on a triangle)

133⁰+A=180

A=180-133

A=47⁰

using sine rule

2/sin 47 = b/sin 80

b sin47 = 2 sin 80

b= 1.9696/0.7314

b=2.69 approximately 3

A group consisting of 10 children an adult went to a movie theater children tickets cost 5 each and adults tickets cost 8 each and the total cost for 10 people was 62.how much children were in the group

Answers

9514 1404 393

Answer:

  6 children

Step-by-step explanation:

If all of the group were adults, the total cost of tickets would be 8×$10 = $80. The actual cost was $80 -62 = $18 less than that. Since each children's ticket saves $3 off the cost of an adult ticket, there were $18/$3 = 6 children's tickets.

There were 6 children in the group.

_____

If you want an equation, you can let c represent the number of children. Then the cost of tickets is ...

  8(10 -c) +5c = 62 . . . . 10-c is the number of adults

  -3c = -18 . . . . . . . subtract 80

  c = -18/-3 = 6 . . . divide by 3

Alyana's and Stephanie's combined yearly salaries are $20,615. Alyana makes 4/7 of their combined yearly salaries. How much does Stephanie make in dollars?

Answers

Answer:

$8,835

Step-by-step explanation:

Multiply the total ($20,615) by 3/7 to get your answer.

Answer: $11,780

Multiply 4/7 by 20,615

Select the correct answer.
Brent works part-time at a clothing store. He earns an hourly wage of $15. If he needs to earn more than $45 in a day and works for x hours a day, which inequality represents this situation?
A.
15x > 45
B.
15x < 60
C.
x > 60
D.
15x < 45
E.
x < 60

Answers

Answer:

A. 15x > 45

Step-by-step explanation:

cuz more than 45 hours a day.

4) A frozen yogurt shop offers eight flavors and twelve toppings. How many ways of choosing one flavor and one topping are there?​

Answers

Answer:

There are 96 ways of choosing one flavor and one topping.

Step-by-step explanation:

You multiply 8 by 12 and you get 96.

30 POINTS!!!!! I NEED IT NOW!!!!!!Find the maximun, minimum,range,medium,mean,mode and the other stuff on the picture if you can if not its ok.

Answers

Answer:

34

Step-by-step explanation:

please no link answers you will be reported

Which of the following equations describes this graph?

A. y = x2 - 8x+18
B. y = x2 - 6x+10
C. y = x2 +6x+10
D. y = 2x2 - 12x+19

Answers

Answer:

B

Step-by-step explanation:

You can use the key features (such as the vertex) to determine which is the correct equation

I’ll give you five Stars right answer only

Answers

Answer:

58

Step-by-step explanation:

i think the answer is 58 please give brainliest

Answer:

(a) 18.5ft

(b) 388.5 ft²

Step-by-step explanation:

(a)

She has 79ft of fence = the perimeter will be 79.

Perimeter of a rectangle = 2(length) +2(width)

79 = 2(21)+2(width)

2(width) = 79 - 42

width = 37/2

width = 18.5ft

(b)

Area of a rectangle = (length)(width) = (21)(18.5) = 388.5 ft²

QUICK PLZZZ!! No picture link or I’ll report u !

Answers

the second option I highly think this is correct but I'm so sorry if not!!! I even did research to see if I was right

pls answer me this all question correctly pls I beg you pls friends pls pls pls pls pls pls pls pls​

Answers

Answer:

[tex]a. \: 28[/tex]

[tex]b. \: 5[/tex]

Step-by-step explanation:

[tex]a. \: 88 \div 3 \frac{1}{7} [/tex]

[tex]88 \div \frac{22}{7} [/tex]

Multiply the numerator by the reciprocal of the denominator.

[tex]88 \div \frac{7}{22} [/tex]

[tex]4 \times 7[/tex]

[tex]28[/tex]

[tex]b. \: 49 \frac{2}{9} \div 9 \frac{4}{9} [/tex]

[tex] \frac{425}{9} \div \frac{85}{9} [/tex]

Multiply the numerator by the reciprocal of the denominator.

[tex] \frac{425}{9} \times \frac{9}{85} [/tex]

[tex]5[/tex]

Hope it is helpful...

I will give you Brainiest if you are right.

Answers

Answer:

F. 4d + h + 2f

Step-by-step explanation:

have a good day!

Answer:

F. 4d + h + 2f

Step-by-step explanation:

There are 4 drinks (4d)

2 Fries (2f)

And 1 Hamburger (h)

Use the order of operations to find the value of the expression: 20 - 12 + 8 x 5

80
16
5
48

Answers

Here’s what I got


Have nice day

What annual rate of interest would you have to earn on an investment of $5500 to ensure receiving $434.50 interest after one year?
PLEASE HELPPPP

Answers

answer: 0.079 , 7.9%
434.50/5500 = 0.079

I need this answer today pls it is important pls help me out i will give you a crown and good ratings if you get it write

Answers

[tex]mean(x) = \frac{sum \: of \: elements}{total \: number \:of \: elements} [/tex]

[tex]x = \frac{81 + 72 + 75 + 81 + 64 + 70 + 76 + 74}{8} \\ x = \frac{593}{8} = 74.125 = 74[/tex]

[tex]median = 72[/tex]

[tex]mode = 81[/tex]

[tex]range = 17[/tex]

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