PLEASE ANSWER!!!
Boris Drove to the mountains last week. There was heavy traffic on the way there, and the trip took 10 hours. When Boris drove home, there was no traffic and the trip only took seven hours. If his average rate was 18 mph faster on the trip home, how far away does Boris live from the mountains?

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Let +d+ = the one-way distance to the mountains in miles

Let +s+ = his speed going to the mountains in mi/hr

+s+%2B+27+ = his speed on the trip home in mi/hr

equation for going to the mountains:

(1) +d+=+s%2A7+

Step-by-step explanation:

I hope this helps mark as brainliest if correct


Related Questions

A rectangle has a length of x + 7 and a width of x-2. Which equation below describes the perimeter, P, of
the rectangle in terms of x?

Answers

Answer:

            P = 4x  +  10

Step-by-step explanation:

perimeter of a rectangle = 2( width + length )

   P = 2 ( x - 2  +  x + 7 )

   P = 2 ( x + x  +  7 - 2 )

        P = 2 ( 2x +  5 )

            P = 4x  +  10

There are 4 circles and 16 squares. What is the simplest ratio of circles to the total of shapes

Answers

Answer:

Not including circles in total shapes: 1 circle to every 4 squares or 1:4

Including circles in total shapes: 1 circle to every 5 shapes or 1:5

Step-by-step explanation:

16 ÷ 4 = 4

20 ÷ 4 = 5

Answer: 1:5

Step-by-step explanation:

The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function?

Answers

You can use the definition of a function to classify which mapping is a function and which mapping is not a function.

The first group is not a function as there are two outputs for 0

The second group is a function as there are single output to each input.

What is a function?

There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.

Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.

So, for a mapping to be function, we need each input to be mapped to only one output.

Using above definition

For group 1, we see that 0 has output 1 and output 5 both. Since for a mapping to be a function, we need each input to have single output, thus, this group doesn't represent a function.

For group 2, we see that each input has only one output, thus,this group represents a function.

Remember that we assumed that the pair of points were written as

(input, output)

Thus.

The first group is not a function as there are two outputs for 0

The second group is a function as there are single output to each input.

Learn more about functions here:

https://brainly.com/question/13395697

help me plsssssssssssssssssssssssssss

Answers

Answer:

This answer would be c

Step-by-step explanation:

Avery had 25.92 in her wallet. If she bought lunch with 7 1/2 dollars from her wallet, how much did she have in her wallet after lunch?​

Answers

25.92- 7.50
18.42 left in your wallet

4x+6<-6 how to solve

Answers

Answer:

The answer is below.

Step-by-step explanation:

4x<-6-6

4x<-12

x= -3

Inequality form:

x< -3

Interval Notion:

(-8,-3)

Note: Turn the -8 on the sideways on the right, because its not 8.

Answer: x < -3

Step-by-step explanation: 4x+6=-6

                                                   -6  -6

                                                     4x/4      -12/4

                                                            x<-3

PLEASE HELP ME WITH GEOMETRY

Answers

Answer:

The answer is A.

Step-by-step explanation:

It is A because both sides match up except for the last pair, where they are the same. Hope this helped!

It is estimated that world reserves of oil currently stand at 2625
billion units. Oil is currently extracted at an annual rate of 45.5
billion units and this is set to increase by 2.6% a year. After how
many years will oil reserves run out

Answers

Answer:

  35.4 years

Step-by-step explanation:

The annual consumption (in billions of units) is described by the exponential function ...

  f(t) = 45.5·1.026^t

The accumulated consumption is described by the integral ...

  [tex]\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)[/tex]

We want to find t such that the value of this integral is 2625, the estimated oil reserves.

  2625 = 45.5/ln(1.026)·(1.026^t -1)

  2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t

Taking natural logs, we have ...

  ln(2.480832) = t·ln(1.026)

  t ≈ ln(2.480832)/ln(1.026) ≈ 35.398

After about 35.4 years, the oil reserves will run out.

11. The profit Samantha's company makes is
given by the expression 0.1(1000 + 300m)
where m is the total number of sales.
Rewrite the expression using the distributive
property. What is the profit if her company
sells 50 pieces of merchandise?

Answers

Answer: 0.1(1000 + 300m)

Use the distributive property: a x (b + c) = a x b + a x c

0.1 x 1000 + 0.1 x 300m

Evaluate both products: 100 + 30m (1)

Note: Multiplying a number by 0.1 is the same as dividing the number by 10.

We need to determine the profit when 50 pieces are sold.

Substitute m with 50 in equation (1).

100+30(50)

Evaluate product: 100 + 1500

Evaluate sum" 1600

Thus the profit is $1600.

Step-by-step explanation: I hope this helps you on any other problem! :)

Good Luck!

Write g(x)=40x+4x2 in vertex form

Answers

G(x)=40x+4x2= -100 the vertex form is (-5,-100)

Hayley is considering two gym membership plans. The plans are detailed here. Plan One: $40 for a monthly pass plus $4 for each gym visit Plan Two: $12 for each gym visit. Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?

y=40x+4


y=4x+40


y=12x


y=3x+50

please help

Answers

Answer:

Plan One: y=4x+40

Plan Two: y=12x

Step-by-step explanation:

−10sin(x)=−4csc(x)+3

Answers

-10 sin(x) = -4 csc(x) + 3

Recall that csc(x) = 1/sin(x) :

-10 sin(x) = -4/sin(x) + 3

Multiply both sides by sin(x) :

-10 sin²(x) = -4 + 3 sin(x)

Move everything to one side:

10 sin²(x) + 3 sin(x) - 4 = 0

Factorize the left side:

(2 sin(x) - 1) (5 sin(x) + 4) = 0

Then we have two cases,

2 sin(x) - 1 = 0   or   5 sin(x) + 4 = 0

Solve for sin(x) :

sin(x) = 1/2   or   sin(x) = -4/5

Solve for x :

• if sin(x) = 1/2, then

x = arcsin(1/2) + 2nπ   or   x = π - arcsin(1/2) + 2nπ

x = π/6 + 2nπ   or   x = 5π/6 + 2nπ

• if sin(x) = -4/5, then

x = arcsin(-4/5) + 2nπ   or   x = π - arcsin(-4/5) + 2nπ

x = -arcsin(4/5) + 2nπ   or   x = π + arcsin(4/5) + 2nπ

(where n is any integer)

Fill in the missing numbers below.

5 feet + 12 inches = blank
yard(s)

Blank inches = 1 foot + 1 yard


Blank feet = 3 feet + 24 inches

Answers

Answer:

5 feet + 12 inches = 2 yards

48 inches = 1 foot + 1 yard

5 feet = 3 feet + 24 inches

Step-by-step explanation:

To help solve these equations, you must know how to convert feet to inches, inches to yards, etc. Use the information below:

1 feet = 12 inches

3 feet = 1 yard

To solve 5 feet + 12 inches = blank yard(s), convert 5 feet & 12 inches to yards. Since 5 feet would be complicated to convert, let's convert 12 inches to feet first.

12 inches = 1 feet

Instead of 12 inches, we can substitute it as 5 feet + 1 feet = blank yard(s). That would be 6 feet = ? yards. 3 feet = 1 yard, which tells us we must divide both sides by 3. Thus, 5 feet + 12 inches = 2 yards.

Blank inches = 1 foot + 1 yard

To find the # of inches in a yard, you must first know that 3 feet = 1 yard. If there are 12 inches in a foot, we must multiply 3 by 12, getting us 36. You add 12 inches (1 foot), getting us 48 inches in total. Thus 48 inches = 1 foot + 1 yard.

Blank feet = 3 feet + 24 inches

Since 3 feet is already feet, we do not need to convert it. If 12 inches is 1 foot, we must divide 24 inches by 12. So, there is 2 feet in 24 inches. 2 + 3 is 5. Thus, 5 feet = 3 feet +24 inches.

Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?
A.Amaya made a mistake because 4 is not equal to 5.
B.No values of x make the equation true.
C.All values of x make the equation true.
D.The solution is x=4 or 5.

Answers

Answer:

B.

Step-by-step explanation:

4 is of course not equal to 5 so no values of x make the equation true.

There are no solutions to this equation.

Determine the slope from the given graph below:

The slope is−17
The slope is 5
The slope is 7
The slope is -5

Answers

Answer:

The slope is positive 7

Step-by-step explanation:

The y-intercept is -5, and the next point going upwards is positive 2. (Sorry I'm bad at explaining)

Answer:

The slope is 7

Step-by-step explanation:

(1,2)(0,-5)

[tex]m=\frac{-5-2}{0-1} ==\frac{-7}{-1} =7[/tex]

Hope this helps

the points (0, p) and (1, 4) lie on a line with a slope of 3. what is the value of p?

Answers

Answer:

p=1

Step-by-step explanation:

[tex]\frac{4-p}{1-0}[/tex]=3

4-p=3

p=1

A parabola can be drawn given a focus of (4,6) and a directrix of y = 2. What can be
said about the parabola?

Answers

Answer:

A.

Step-by-step explanation:

two piers, a and b, are located s km away from each other along a river. a motorboat, with a speed of v km/hour in still water, is cruising between the two piers. How much time t (in hours) will the motorboat need to get from pier a to pier b and back, if the speed of the current is 5km/hour? find t if: s=105 v=40

Answers

Answer:

speed in still water is v=40 speed of current

The Falcons had 3 fewer than twice as many Bears players. If the Falcons had 11 players, how many players were on the Bears?

Answers

Subtraction, 11-3 is 8
Ps:trick question

How many sides does the regular polygon have if each interior angle measure is four times the (1 point)

measure of each exterior angle measure?

Answers

Answer:

The exterior and interior angles must add up to 180 degrees. Thus, 180 divided by five gives the exterior angle as 36 degrees (and hence the interior angles as 144 degrees).

Answer:

10 Sides

Step-by-step explanation:

Int Angle + Ext Angle = 180

4Ext + Ext = 180

Ext = 36 degrees

-----

360/36 = 10 sides

I need help! Whoever can solve this I'll give you the brainliest!​

Answers

Answer:

it should be 21 if I did this right.

Step-by-step explanation:

you multiply the width times the length (6 × 7) =42 then 882 divided by 42 to get 21

Worth 12 points do it soon pls

Answers

Step-by-step explanation:

9+(-5)=4

-8-4=-12

8-(-4)=12

-9+5=-4

Hope this helps, just go connect the equation to the answer that I put.

RULES

If you have a minus and a minus (- -) it is equal to +

If you have Plus and Minus (- +) it is equal to -

The first one when simplified is 9-5=4

The second one Simplified is -8-4=-12

The third one simplified is 8+4=12

The fourth one simplified is -9+5=-4

I hope this helped and that you got the concept. If you have questions, ask me

Ps. If you mark me branliest it would-be very appreciated

Which type of correlation does this scatterplot show?

Answers

Answer:

i think the answer to this question is positive correlation

Step-by-step explanation:

this image below may help u

Positive correlation. It is a positive correlation if y increases when x increases or y decreases when x decreases.

PLEASE HELP I HAVE A TIME LIMIT ON THIS!!

Answers

You haven’t shown us the options, but it will be anything where there is 4x

If y is not on its own, then the coefficient (the number before the letter) of x should be 4 times bigger than the coefficient of y

Please help!! Best answer gets brainliest<3

Answers

X= 25.65 + 16.5 - 12.45
X= 29.70

If one of the factors of r ^ 2 + 21r + 98 is r + 7 , what is the other factor?

Answers

Answer:

i think factor the expression (r+7)(r+14) is answer

Step-by-step explanation:

Answer:

(r + 14)

Step-by-step explanation:

When factoring a trinomial in the form of:

[tex]ax^2+bx+c[/tex]

you need to find 2 numbers that multiply to make ac and add to make b. Here, we need to find 2 numbers that multiply to 98 and add to 21. First, list the factors of 98:

1, 98

2, 49

7, 14

and the reverse of all of those is also true.

Now find factors that add to 21. In this case, those are 7 and 14. You need to break the middle term in the trinomial into those 2 numbers:

[tex]r^2+21r+98\\r^2+7r+14r+98[/tex]

Finally, you can factor each half of this individually.

[tex](r^2+7r)+(14r+98)\\r(r+7)+14(r+7)\\(r+14)(r+7)[/tex]

We were already given (r + 7), so the answer is (r + 14).

PLEASE HELP -7y + 11 = 75 + y

Answers

Answer:

y = -8

Step-by-step explanation:

-7y + 11 = 75 + y

Bring the "y" variable on one side, and rest on the other.

Rearranging, we get,

-7y - y = 75 - 11

-8y = 64

-y = 8

y = -8

Hope it helps :)

It cost Joseph $21.90 to send 146 text messages. How many text messages did he send if he spent $6.45?

Answers

Answer:

43 messages

Step-by-step explanation:

Given:

146 messages = $21.90

x messages = $6.45

Finding x by cross-multiplication:

x = 146*6.45/21.90 = 43

Hope this helps! :)

Jake has $120 to spend for a party. Juice costs $8. Pizza costs $12. Write the standard equ.
how much juice and pizza Jake can buy?

Answers

Answer:

$8x + $12y = $120

Step-by-step explanation:

x = amount of juice

y = amount of pizza

$120 = his total money

A hole needs to be at least 40 feet below ground level. This means it needs to be more than 2 times its current depth.
represented by the inequality 2d<-40, where d is the current depth of the hole.
Select from the drop-down to correctly interpret the solution of this inequality.
The current depth of the hole is Choose.
feet below ground level

Answers

The current depth of the hole is at least 20 feet below ground level.

Inequality is an expression that shows the non equal comparison of numbers and variables.

Let d represent the current depth of the hole.

To be at least 40 feet below ground level, he need more than 2 times its current depth.

2d < -40

d < -20

Hence the current depth of the hole is at least 20 feet below ground level.

Find out more on inequalities at: https://brainly.com/question/11613554

Answer:

20 feet below

Step-by-step explanation:

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