Joseph needs to drive 42 miles. They were going to drive at a certain average speed, but if they drive 10 mph faster, the trip will take 6 minutes (1/10 of an hour) less time. How fast were they going to drive? Write out the equation(s) ​

Answers

Answer 1

Answer:

The speed is 60 mph.

Step-by-step explanation:

distance = 42 miles

Let he drove with speed v and time is t.

distance = speed x time

42 = v t ..... (1)

42 = (v + 10)(t - 1/10) ..... (2)

[tex]42 = 42 -\frac{v}{10}+ 10 t - 1\\\\t =\frac{10+v}{100}\\\\Put in (1)\\\\42 = \frac{v(10+v)}{100}\\\\v^2 + 10 v - 4200 = 0 \\\\v = \frac{-10\pm \sqrt{100+4\times 4200}}{2}\\\\v =\frac{- 10 \pm 130}{2}\\\\v =- 70 mph, 60mph[/tex]

So, the speed cannot be negative so the speed is 60 mph.


Related Questions

Which of the following is the simplified form of? Jx/
xVx?
ox
x21
O 21 /
Points eamed on this question: 0

Answers

Use the following property below:

[tex] \large \boxed{ \sqrt[n]{a} \times \sqrt[n]{a} \times \sqrt[n]{a} = { (\sqrt[n]{a}) }^{3} }[/tex]

Therefore,

[tex] \large{ \sqrt[7]{x} \times \sqrt[7]{x} \times \sqrt[7]{x} = { (\sqrt[7]{x}) }^{3} }[/tex]

Then we use next property.

[tex] \large{ \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} } }[/tex]

Hence,

[tex] \large{ \sqrt[7]{ {x}^{3} } = {x}^{ \frac{3}{7} } }[/tex]

Answer

x^(3/7)

area of a trapezium.​

Answers

Answer:

Step-by-step explanation:

A= (a + b) * h/2

Answer:

what they said

Step-by-step explanation:

yeah what they said

Adriana sold 50 shares of a company’s stock through a broker. The price per share on that day was $22.98. The broker charged her a 0.75% commission. What was Adriana’s real return after deducting the broker’s commission?

A.
$8.62
B.
$229.80
C.
$1,140.38
D.
$1,149.00

Answers

Answer:
C $1,140.38
Step-by-step explanation:
We are given that Adriana sold 50 shares and that the price per share was $22.98
This means that:
Total value = 50 * 22.98 = $1149
Now, we know that the broker charged 0.75% commission on the total value
This means that:
Broker's charge = 0.75% * 1149 = 0.0075 * 1149 = $8.6175
Therefore,
Adriana's return = Total value - broker's charge
Adriana's return = 1149 – 8.6175 = $1,140.38

Based on the family the graph below belongs to, which equation could represent the graph?

Answers

where is the graph????

Step-by-step explanation:

How does a pedometer help people reach their fitness goals?
A.
It measures calories burned throughout the day
B.
It usually doubles as an MP3 player and keeps people motivated.
C.
They help people reach their goals by counting the number of steps taken.
D.
They measure the number of lifts done during each exercise performed.

Answers

Answer:

C

Step-by-step explanation:  

 pedometers are devices that count the steps you take throughout the day. Seeing your daily step count can give you an idea of how active you are in a given day and give motivating feedback to help you achieve a daily step goal.

Answer:c i just took the test

Step-by-step explanation:

Which of the following is an example of a conditional statement?

Answers

Answer:

The correct answer is A, If I practice football, then I will improve.

In the school chorus,
5/25 of the students are fourth-graders.
In simplest form, what fraction of the students in the school chorus are fourth graders?

Answers

Answer:

1/5 of the students are 4th graders

explanation would really help​

Answers

Answer:

35

Step-by-step explanation:

the whole line is 49 and line DB is 30.

minus 16 from 30 so 30-16=14

then you minus line CB from EB so 49-14=35

that makes line EC 35

find the value of x. round to the nearest tenth. 9,4, x

Answers

Answer:

Not sure what you mean here, is this a table? If so, you need to provide the y value or a screenshot!

Answer:

24.6° (nearest tenth) .

which of these expressions is equivalent to to 7(x+3)​

Answers

Well you didn’t post the options but when you expand that expression it’s 7x + 21. Hope that helps!

On expanding the expression, we get - 7x + 21.

We have the following expression -

f(x) = 7(x + 3)

We have to write its equivalent expression.

Expand : f(x) =  [tex]$\pi (\sqrt{x} + 5)[/tex]

Expanding we get -

f(x) = [tex]$\pi \sqrt{x} + 5\pi[/tex]

According to the question, we have -

7(x + 3)

On expanding, we get -

7(x + 3) = 7x + 21

Hence, on expanding the expression, we get - 7x + 21.

To solve more questions on expanding expressions, visit the link below -

https://brainly.com/question/12308727

#SPJ2

A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was $2,033.00, and the tax rate in the area is 7%, what was the pre-tax subtotal?

Answers

Answer:

i believe the pre-tax subtotal would be 1890.69

Step-by-step explanation:

the 2,033 represents 100%. to remove that 7% you would do

.93 • 2,033 which gives you 1890.69

There were 436 tickets purchased for a major league baseball game. The general admission tickets cost ​$6.50 and the upper reserved tickets cost ​$8.00. The total amount of money spent was ​$3284.00. How many of each kind of ticket were​ purchased?
How many general admission tickets were​ purchased? ____
How many upper reserved tickets we purchased? ___

Answers

Answer:

136 general admission tickets were​ purchased, and 300 upper reserved tickets were purchased.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the number of general admission tickets purchased.

y is the number of reserved tickets purchased.

There were 436 tickets purchased for a major league baseball game.

This means that [tex]x + y = 436[/tex], or also, [tex]x = 436-y[/tex]

The general admission tickets cost ​$6.50 and the upper reserved tickets cost ​$8.00. The total amount of money spent was ​$3284.00.

This means that [tex]6.5x + 8y = 3284[/tex]. Since [tex]x = 436-y[/tex]

[tex]6.5(436-y) + 8y = 3284[/tex]

[tex]1.5y = 450[/tex]

[tex]y = \frac{450}{1.5}[/tex]

[tex]y = 300[/tex]

And:

[tex]x = 436 - y = 436 - 300 = 136[/tex]

136 general admission tickets were​ purchased, and 300 upper reserved tickets were purchased.

What is the surface area of the solid that this net can form?
8 mm
25 mm
8 mm
5 mm
5 mm
8 mm
8 mm
5 mm
5 mm
8 mm
8 mm
25 mm
O 730 square millimeters
O 875 square millimeters
O 1,000 square millimeters
O 1,444 square millimeters

Answers

Answer:

730

Step-by-step explanation:

separate each rectangle

use the formula to calculate the area of each rectangle.

1st rectangle

area = length ×breadth

length =5, breadth =8+25+8=41

A1=5×41=205

2nd rectangle

A2=8×25=200

....

A3=5×25=125

A4=8×25=200

Add all As and you have your ans 730

i need help! plz (listing BRAINLIST and giving points) ​:D​

Answers

Answer:

4

Step-by-step explanation:

these are two similar triangles, so to solve for x, we create two similar ratios!

x/2 = 7/3.5

cross multiply.

14=3.5x

divide 14 by 3.5

x=4

Identify the relationship between sampling error and sample size.

Answers

Answer:

as the sample size increases, the margin of error decreases

a Dhruv sold one second-hand car for 1,10,500 and two second-hand scooters for 7,500 each.​

Answers

Answer:i actually dunno

Step-by-step explanation:

wat

There is a Chick-fil-a exactly 6 miles due east of Berkmar Middle School. There is also a Wal-Mart 6 miles due north of Berkmar Middle School. How far is the Chick-fil-a from the Wal-Mart? Leave your answer in its simplest radical form.

Answers

Answer:

6√2 miles

Step-by-step explanation:

Using the solution diagram drawn :

We have a right angled triangle, the distance between Walmart mad chick-FIL is a measure of the hypotenus of the right angled triangle ;

The hypotenus, = √(opposite² + adjacent²)

Hypotenus = √6² + 6²

Hypotenus = √(36 + 36)

Hypotenus = √72

Hypotenus = √36 * 2 = √36 * √2 = 6√2 miles


Can someone please help me with this problem?

Answers

Answer:

C 6

Step-by-step explanation:

Pythagoras

c² = a² + b²

117 = x² + (x+3)² = x² + x² + 6x + 9 = 2x² + 6x + 9

=>

108 = 2x² + 6x

54 = x² + 3x

0 = x² + 3x - 54 = (x-6)(x+9)

just think by what numbers can we divide 54 without any remainder (so that when multiplying we get 54) ? and which pair of these have a difference of 3 (so that with +/- combination we get "3x" in the multiplication)?

the solutions for x are the 2 numbers that would make one of the bracket expressions 0, as this turns the whole expression to 0.

x = 6 and x = -9

a negative number does not make any sense for a side length.

so, the only possible solution is x = 6

A community shares a vegetable garden in a park each summer. Last year, it took Sapphire 88 hours to plant the garden by herself. The year before, it took Varsha 66 hours to plant the same garden by herself.

This year, if Sapphire and Varsha work together to plant the same vegetable garden, it would take ??? hours.

What is ???

Answers

Answer:

37.71 hours

Step-by-step explanation:

Saphire

1garden/88hours

Varsha

1garden/ 66 hours

Together

1/88 + 1/66 = x

use 264 as common denominator

3/264 + 4/264 = 7/264

Together they can do 7 gardens in 264 hours

264/7 = 37.71 hours for 1 garden

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

Sometimes Brainly double types numbers

If you meant 6 hours and 8 hours

1/6 + 1/8 = x

4/24 + 3/24 = 7/24

24/7 = 3.43 hours

4. Temperature graphs from two cities on July 1 are shown below. Which statement is true?

O A. City A experienced a bigger temperature change than City B.
O B. City B experienced a bigger temperature change than City A.
O C. The low temperature in City B was lower than the low temperature in City A.
O D. Both B and C are true.

Answers

Answer:

City B experienced a bigger temperature change than City A.

Step-by-step explanation:

From the graph of the temperature given, using visual inspection, we can see how the graph of both cuties change, for city A, the change in temperature, very low as the highest temperature is about 80 and the lowest temperature value is about 76 ;

However. For city B, the highest temperature value is about 100 and the lowest is about 76

Hence, City B experienced a bigger temperature change than A.

For low temperature, the low temperature in city A and B are the same with a value of about 76°

Classify the triangle by its angles and sides.
acute isosceles
acute scalene
equiangular equilateral
obtuse isosceles

Answers

I’ll pay you to do my 7 math assignments(no scams no bs) Hmu asap

Answer:

equiangular equilateral

all sides are equal  

Twain's decision to end "The War Prayer" with the townspeople ignoring what
the stranger said is a good example of
A. irony
B. polyptoton
C. coincidence
D. parallelism
SUBMIT

Answers

I think the answer would be A, the meaning of irony is the expression of one’s meaning by using language that normally signifies the opposite, typically for humorous or emphatic effect.

Answer:

Irony

Explanation:

I just took the test

which expression has a value of 15 when n=7?​

Answers

8+n is a possible answer to the question.

Answer:

19 - 28/n

n=7

19 - 28/7

19 - 4

=15

Which of the following points lies on the graph of the function y = 3 Superscript x?
a. (1, 0)
c. (3, 1)
b. (2, 9)
d. (0, 3)



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

(2,9)

Step-by-step explanation:

I am assuming that you mean: [tex]y= 3^x[/tex]

I have graphed the function given along the points given. When they are graphed, only the point (2,9) lie on the line.

This means that Option B is the correct answer.

See graph below.

Hope this helps.

Question 14 of 14
Which expression gives the distance between the points
(1,-2) and (2, 4)?
O A. (1+23° +(2-47
O B. (1-2)*+(-2-4)
O c. 111-23 +4:32-47
O D. Hit+2y +(2-479

Answers

Answer:

c

Step-by-step explanation:

HELP PLEASE!!!!

By which rule are these triangles congruent?

A) AAS

B) ASA

C) SAS

D) SSS

Answers

Answer:

ASA

Step-by-step explanation:

Both triangles contains two angles which indicate that it can only be the top 2 options.

Please help x – 6 ≥ –7?

Answers

Answer:

x ≥ -1

Step-by-step explanation:

just add 6 to both sides.

Answer:

Inequality Form: x≥−1

Step-by-step explanation:

What is the slope of a line parallel to

a)-1/2
b)-2
c)1/2
d)2

Answers

Answer:

parallel lines has equal gradient

answer

c ,1/2

Answer : Would be C wich is one half

HELP!!! PLEASE!!!!!!!!!!

Answers

Sorry but I see that you can use the “interactive protractor” and see how many degrees the angle is. But all I can tell you is that it’s an acute angle
Hi! You have to put the protractor on the middle dot to figure it out. I can’t figure it out because of that. Good luck!

37% of what number is 72?

Answers

The answer is 194.59

(72 x 100) / 37 = 194.59

Answer:

26.64

Step-by-step explanation:

37% of x = 72

0.37x = 72

isolate x

x = 72*0.37

x = 26.64

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