An oil tanker can be emptied by the main pump in 5 hours. An auxiliary pump can empty the tanker in 7 hours. If the main pump is started at 7 PM​, when should the auxiliary pump be started so that the tanker is emptied by PM​?
Suppose you have entered 103 ​-mile biathlon that consists of a run and a bicycle race. During your​ run, your average velocity is 5 miles per​ hour, and during your bicycle​ race, your average velocity is26 miles per hour. You finish the race in 8 hours. What is the distance of the​ run? What is the distance of the bicycle​ race?

Answers

Answer 1

Answer:

so the answer will be 1

Step-by-step explanation:

An oil tanker can be emptied by the main pump in 5 hours.

An auxilary pump can empty the tanker in 14 hours.

If the main pump is started at 7pm, when should the auxilary pump be started

so that the tanker is emptied by 11pm?

:

Let t = no. of hrs to run the Aux pump

:

The main pump will run 4 hr (7 - 11 pm)

:

Let the completed job = 1; (an empty Tanker)

:

The shared work equation

4%2F5 + t%2F14 = 1

Multiply equation by 70 to get rid of the equation, results:

14(4) + 5t = 70

56 + 5t = 70

5t = 70 - 56

5t = 14

t = 14%2F5

t = 2.8 hrs to run the aux pump

:

2.8 hr = 2 + .8(60) = 2 hrs 48 min

:

Subtract 2:48 from 11:00 = 8:12 PM start the aux pump

;

;

Check solution

4/5 + 2.8/14 =

.8 + .2 = 1


Related Questions

3/4 of a number 120 What is three-eights of the number? please answer no point scamming i will give you brainiest

Answers

Answer:

60

Step-by-step explanation:

Let the number is x.

3/4 of a number is 120:

3/4x = 120x = 120*4/3 = 160

What is three-eights of the number:

160*3/8 = 60

how to write 175% as a decimal​

Answers

you move the decimal 2 spaces to the left 175-> 17.5-> 1.75

So the answer is 1.75 hope this helps <3

How do you compare exponential functions??

I really don't understand, also giving brainliest!!

Answers

Answer:

You compare it by this

Step-by-step explanation:

Linear functions are graphed as straight lines while exponential functions are curved. Linear functions are typically in the form y = mx + b, which is used to discover the slope, or simply the change in y divided by the change in x, while exponential functions are typically in the form y = (1 + r) x.

A gold coin has a mass of 45.6 grams and a volume of 2.28 cubic centimeters. Calculate its density. Write your answer to the tenths place. ​

Answers

Answer:

Density (ρ) = 20000 kilogram/cubic meter

Step-by-step explanation:

willie's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10 adult tickets and 4 student tickets for a total of $194. The school took in $182 on the second day selling 7 adult tickets and 7 student tickets. What is the price each one adult ticket and one student ticket? ​

Answers

Adult tickets - $15

Student tickets - $11

First day:

10 tickets * $15 = $150

4 tickets * $11 = $44

Total: $194

Second day:

7 tickets * $15 = $105

7 tickets * $11 = $77

Total: $182

Mathematics *extra characters

Answers

Answer:

31/2

Step-by-step explanation:

yes

it’s 3/8

subtract the numbers w () then divide ur product.

Look at the arithmetic pattern shown here.

Select the Hint button to view a hint.

Using the variable n for the term, describe the sequence.

Answers

Answer:

[tex]a_{n}[/tex] = 10n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then

[tex]a_{n}[/tex] = 10 + 10(n - 1) = 10 + 10n - 10 = 10n

The sequence can be seen to be an arithmetic sequence and the common difference of the sequence is 10.

What is an arithmetic sequence?

Arithmetic sequences are an essential concept in mathematics and have applications in various fields, including algebra, physics, computer science, and finance. They are widely used to model patterns and relationships in real-world situations.

Looking at the sequence we can see that the common difference d can be obtained as;

d = S2 - S1

= 20 - 10

= 10

d = S3 - S2

= 30 - 20

= 10

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what's rational numbers

Answers

Rational number are like pi=3.14 or 2.3738373737 ya know those kind of numbers

How many wholes are there in 7/3

Answers

Answer: there are 2 whole in 7/3

Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3

What is the answer of this : 3+5-9*6/2

Answers

Answer:

3+5-9*6/2

3+5-9*3

3+5-27

8-27

-19

Please solve the math problem for me... I will mark you brainliest

Answers

Answer:

The midpoint is (4,4)

Step-by-step explanation:

AB is a vertical line. This means the x value must be 4. The y value is halfway between 0 and 8, which is 4. Therefore, the midpoint is (4,4).

Answer:

The midpoint is (4,4)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Below is a picture of how it is graphed.

how many fifths are in 2? PLEASE HELP

Answers

10 I’m just going to write this cause it has to be 20 characters long to answer

Answer:

10/5 ten fifths are in two

Step-by-step explanation:

10/5 = 2

Plz plz help fast
I will mark Brainlyist

Answers

Answer:

forgive me i need points

Step-by-step explanation:

write 4270000 in scientific notation​

Answers

4.27x10*6
i cant get it to come up properly but its to the power of 6

PLSSS HLEPP ME OUTT ITS URGENTTTT​

Answers

Answer:

76 and 19 are the answers

Using the slope formula, find the slope of the line through the given points.
(1,6) and (3,4)

Answers

To find slope you do y2-y1 over x2-x1. So 4-6 is -2. And 3-1 is 2. So -2/2 is -1. The slope is -1.

Which graph represents the table only A or B

Answers

Show a clear picture

Marc solves the equation Latex: (\sqrt[4]{x})^3=5\textsf{.} His work is shown below. Step 1: Latex: (\sqrt[4]{x})^3=5 ( √ [ 4 ] x ) 3 = 5 Step 2: Latex: x^{\frac{3}{4} }=5 x 3 4 = 5 Step 3: Latex: x^{\frac{3}{4} \cdot \frac{4}{3} }=5^{\frac{4}{3} } x 3 4 ⋅ 4 3 = 5 4 3 Step 4: Latex: x=\sqrt[3]{5 \cdot 5 \cdot 5 \cdot 5} x = √ [ 3 ] 5 ⋅ 5 ⋅ 5 ⋅ 5 Step 5: Latex: x=5\sqrt[3]{\not{5} \cdot \not{5} \cdot\not {5} \cdot 5} x = 5 √ [ 3 ] ¬ 5 ⋅ ¬ 5 ⋅ ¬ 5 ⋅ 5 Step 6: Latex: x=5\sqrt[3]{5} x = 5 √ [ 3 ] 5 Explain what Marc did in steps 4 and 5. Why did he do this? Create your own radical equation and explain how to solve it. Is there an extraneous solution to your equation?

Answers

Based on the calculation, we can say that there is an extraneous solution to the equation

Given the equation solved by Marc expressed as:

[tex](\sqrt[4]{x})^3=5[/tex]

We are to check if the indices equation has an extraneous equation.

According to the law of indices [tex](\sqrt[n]{m} )^a=m^{\frac{a}{n} }[/tex], the expression becomes:

[tex](\sqrt[4]{x})^3=5\\x^\frac{3}{4}=5\\[/tex]

Raise both sides to the power of 4/3 as shown:

[tex](x^\frac{3}{4} )^\frac{4}{3} = 5^\frac{4}{3}\\x^1 = 5^\frac{4}{3}\\x = 5^\frac{4}{3}\\[/tex]

This shows that there is an extraneous solution to the equation

Learn more here: https://brainly.com/question/12232011

8.90 x 3.12 will give brainlist

Answers

27.768

Multiply 890 and 312

This equals 277680

We know that there were 4 numbers behind a decimal point

Therefore the last four numbers of 277680 need to be behind a decimal point as well

So you're answer is 27.7680 or 27.768

What is the circumference of this circle?



A.

B.
(


4
)
C.

D.
(


2
)
E.
None of the above

Answers

Answer:

the circumference of circle is 2 πr


If x =- 5, which expression is equivalent to - 40k – x)?
A. – 4(k – 5)
B. – 40k + 5)
C. – 4(- 5k)
D. – 40k + (-5))

Answers

Answer:

B

Step-by-step explanation:

x = -5

Put in -5 for x, and expand:

-40(k-x) = -40(k+5)

B. -40(k+5)

PLEASE HELP ME I DONT GET THIS..​

Answers

I’m also doing my homework but just search how to solve for an area of a circle :) I’m 100% sure it will help
Hi so it's ask for area of circle an you know that formula for area of circle is πr2 r (radius)What is π? We have two formula π which is 22/7 or 3.142.So for this question i will use 22/7.If you look at question 2,4 and 6 you can see the diameter which line straight to the circumference. That's call diameter. But in the formula it want r which mean radius. So the diameter÷2

Hopes this help

prove cos a = 5/13 pls solve it and no link pls..........​

Answers

Answer : The demonstration is below :)

Step-by-step explanation :

We use Pythagoras' theorem :

In the triangle ABC we have :

AB² = AC² - BC² = 15² - 9² = 144 = 12²

In the triangle ABD we have :

DB² = AD² - AB² = 13² - 12² = 5²

cos(a) = BD/AD = 5/13

describe system of linear equations using practical situation and mathematical expressions

pahelp pooo​

Answers

Answer:

A system of linear equations is a collection of two or more linear equations, and a solution to a system of linear equations consists of values of each of the unknown variables in the system that satisfies all of its equations, or makes them true.

The sum of two numbers is 179.
Their difference is 133. Find both numbers.

Answers

Answer:

156,23

Step-by-step explanation:

let the numbers be x and y and x>y

x+y=179

x-y=133

add

2x=312

x=156

156+y=179

y=179-156=23

Answer:

156 and 23

Step-by-step explanation:

We can use system of equations to solve this problem.

Step 1: Set up the system of equations.

[tex]\left \{ {{x+y=179} \atop {x-y=133}} \right.[/tex]

Step 2: Solve x + y = 179 for x.

[tex]x + y = 179[/tex] [tex]x + y - y = 179 - y[/tex] (Subtract y from both sides)[tex]x = -y + 179[/tex]

Step 3: Substitute -y + 179 for x in x - y = 133.

[tex]x-y=133[/tex] [tex]-y+179-y=133[/tex] [tex](-y-y)+(179)=133[/tex] (Combine like terms)[tex]-2y + 179 = 133[/tex] [tex]-2y + 179 - 179 = 133 - 179[/tex] (Subtract 179 from both sides)[tex]-2y = -46[/tex] [tex]\frac{-2y}{-2} = \frac{-46}{-2}[/tex] (Divide both sides by -2)[tex]y = 23[/tex]

Step 4: Substitute 23 for y in x = -y + 179

[tex]x = -23 + 179[/tex] [tex]x = 156[/tex]

Therefore, the numbers are 156 and 23.

I NEED HELP WITH THE PROBLEM

Answers

Answer:

x = 10        m∠3 = 74

Step-by-step explanation:

(10x + 6) + (7x + 4) = 180 degrees

17x + 10 = 180

17x = 170

x = 10

check answer

(10(10) + 6) + (7(10) + 4) = 180

106 + 74 = 180

180 = 180

true!

angle 5 is vertical angles with 3, so they are congruent

use same equation as 5

7(10) + 4

70 + 4

74 :)

hhhhhhhhhhhheeeeeeeeeelllllpppppppppp me

Answers

Answer:

m<b=107º

Step-by-step explanation:

180-41-32=107

D and B are congruent

May I please receive help?
Please???

Answers

Answer:

m1 is 25 and m2 is 50

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

x+2x=75

Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2

Answers

Answer:

A

Step-by-step explanation:

The answer is A

The roots of the given quadratic equation are -

x = 2   and   x = 1.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is a quadratic function f(x) defined as -

f(x) = x³ - 3x² + 2

The given quadratic function f(x) is -

f(x) = x³ - 3x² + 2

We can write the roots of the equation as -

x = {3 ± √(9 - 8)}/2

x = {3 + √(9 - 8)}/2    and    {3 - √(9 - 8)}/2

x = (3 + 1)/2   and    x = (3 - 1)/2

x = 2   and   x = 1

Therefore, the roots of the given quadratic equation are -

x = 2   and   x = 1.

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

https://brainly.com/question/30194223

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What is the definition of a rational function?

Answers

Answer:

any function which can be written as the ratio of two polynomial functions.

have a nice day <3

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