Solve the problem by making up an equation. A man could arrive on time for an appointment if he drove the car at 40 mph; however, since he left the house 15 minutes late, he drove the car at 50 mph and arrive 3 minutes early for the appointment. How far from his house was his appointment?
And if the appointment is x miles away from man's house the equation is

Answers

Answer 1

Answer:

40 miles

Step-by-step explanation:

Since we are dealing in mph, change the minutes to hr

15 min: 15/60 = .25 hrs

3 min: 3/60 = .05 hrs

:

Let t = his normal drive time to work in hrs

then

40t = the distance to work

 

Write a distance equation; dist = speed * time

50(t-.25 + .05) = 40t

50(t - .20) = 40t

50t - 10 = 40t

50t - 40t = 10

10t = 10

t = 1 hr normal time to work

therefore

40(1) = 40 mi to work

:

:

Confirm this by finding the dist when he went 50 mph for 48 min (.8hrs)

50(1-.25+.05) = 50(.8) = 40 mi also


Related Questions

This another nae for fraction or quotient.It can also be written in the forms 'a:b' and a to b', where a and b are numbers.

Answers

Answer:

The answer is "Ratio".

Step-by-step explanation:

A ratio indicates how often a number contains a different number. Whenever the calculation of two quantities, as often happens, is indeed a measurement ratio without dimension. It is called a quotient of two volumes, which is calculated by using various units.

It is the relationship among two or more elements of financial reports is calculated by ratios. These also are efficient when the outcomes are presented several times. It allows you to monitor the performance of your company over time and to detect signs of injury.

Which Number line shows the solution to the inequality?

x + 1 > 5​

Answers

Answer:

A

Step-by-step explanation:

Subtract 1 on both sides of the inequality

we get x>4.

So graph A is correct.

28+c=36 what is the value of c

Answers

Answer:

to find the value of c, isolate it.

28 + c = 36

c = 36 - 28

c = 8

now, to check:

28 + 8 = 36 ✓

28+c=36
-28 -28
subtract 28 to get c by itself

c= 36-28

c= 8

hope this helps!

what is value of x for which the equation 9^-6 x 9^x = 1

Answers

X=6 I hope this helps you out

Answer:

x=6

Step-by-step explanation:

9^-6*9^x=1

(x-6)In(9)=In(1)

Awnser

x=6

Find the percent change from the first value to the second.

30; 39

Answers

Answer:

Change in percent = 30%

Step-by-step explanation:

Given:

First value = 30

Second value = 39

Find:

Change in percent

Computation:

Change in percent = [(Second value - First value) / First value]100

Change in percent = [(39 - 30) / 30]100

Change in percent = [(9) / 30]100

Change in percent = 30%

An isosceles triangle has an angle that measures 56º. Which other angles could be in that
isosceles triangle? Choose all that apply.
HELP PLEASE I NEED THIS

Answers

Answer:

The other angles can be 56°, 68°, or 62°.

Step-by-step explanation:

If the 56° angle is one of the two congruent angles, then the remaining angles are 56° and 180-2(56) = 68°

If the is 56° Is not congruent to either of the other angles, then each of the remaining two angles is (180-56)/2 = 62°.

The other angles can be 56°, 68°, or 62°.

Find all of the roots of the following quartic equation:
h(x)= x^4 - 2x^3 - 9x^2 + 18x

Answers

x4)-(2•(x3)))-32x2)+18x
STEP
2
:

Equation at the end of step
2
:

(((x4) - 2x3) - 32x2) + 18x
STEP
3
:

STEP
4
:
Pulling out like terms

4.1 Pull out like factors :

x4 - 2x3 - 9x2 + 18x =

x • (x3 - 2x2 - 9x + 18)

Checking for a perfect cube :

4.2 x3 - 2x2 - 9x + 18 is not a perfect cube

Trying to factor by pulling out :

4.3 Factoring: x3 - 2x2 - 9x + 18

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -9x + 18
Group 2: x3 - 2x2

Pull out from each group separately :

Group 1: (x - 2) • (-9)
Group 2: (x - 2) • (x2)
-------------------
Add up the two groups :
(x - 2) • (x2 - 9)
Which is the desired factorization

Trying to factor as a Difference of Squares:

4.4 Factoring: x2 - 9

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3
Check : x2 is the square of x1

Factorization is : (x + 3) • (x - 3)

Final result :
x • (x + 3) • (x - 3) • (x - 2)

Solve the formula C = d for d.

Answers

To solve this for D you divide both sides by pi and get d=c/pi

Solve the given equation. 8k = 40
k =​

Answers

To find k, divide both sides by 8:

k = 40/8

k = 5

Answer:

k=5

Step-by-step explanation:

8k=40

k=40÷8

k=5

therefore k is equal to 5

I need help with this, please. Someone?

Answers

Answer:

6:8:10

Step-by-step explanation:

Angles A and Care supplementary. Find the measure of angle C.
There is a picture

Answers

Answer:

106 degrees

Step-by-step explanation:

180 -74 = 106

The second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.

What are supplementary angles?

Two angles are said to be supplementary angles when they add up to 180 degrees.

Two angles are supplementary, if

a). one of its angle is an acute angle and another angle is an obtuse angle.

b). both of the angles are right angles.

This means that if A and B are the two angles then

[tex]m[/tex]∠A+[tex]m[/tex]∠B = 180 degrees

According to the given question we have

angles A and C are supplementary

and, [tex]m[/tex]∠A = 74 degrees

therefore,

the measure of angle C is calculated as

[tex]m[/tex]∠A + [tex]m[/tex]∠C = 180 degrees        (sum of the supplementary angles)

74 + [tex]m[/tex]∠C = 180 degrees            ( [tex]m[/tex]∠A = 74 )

[tex]m[/tex]∠C = (180 - 74)degrees            ( subtracting 74 degrees both the sides)

[tex]m[/tex]∠C = 106 degrees

Hence,  second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.

Learn more about the supplementary angles here:

https://brainly.in/question/1288078

#SPJ2

Work out the percentage change when a price of £25 is decreased to £22.

Answers

Answer:

12%

Step-by-step explanation:

x/2 + 7 = 12 what color​

Answers

Answer:

Red

Step-by-step explanation:

it is 10

there are 63 boys in sixth grade. the number of girls in the sixth grade is 56. Shelby says that means the ratio of the number of boys to the number of girls in sixth grade is 9:7. is Shelby correct. use a tape diagram, to support your answer.

Answers

Answer:

Yes, Shelby is correct.

Step-by-step explanation:

Basically, if you divide 63 by 9 you get 7, and if you divide 56 by 7 you get eight, so yah.

-10(d+1)=-14
What is the value of d

Answers

Answer:

[tex]d=\frac{2}{5}[/tex]

Step-by-step explanation:

-10 (d+1) = -14

-10d -10 = -14

-10d = -14 + 10

-10d = -4

d = 4/10

d= 2/5

D=2/5

Decimal form : d= 0.4

I need help I don’t get how to solve it plsss help me

Answers

Answer:

Step-by-step explanation:

They give you the equation, you must substitute the x values into the equation to find the y values.

Example on top equation:

y=-5x so the y values would be

y=-5(-1)=5

y=-5(0)=0

y=-5(1)=-5

y=-5(2)=-10

A 3-gallon bottle of fabric softener costs $33.24. What is the price per quart?

Answers

Answer:

$2.77 per quart.

Step-by-step explanation:

There are four quarts in a gallon.

4 * 3 = 12

There are 12 quarts in 3 gallons.

[tex]\frac{price}{quart} =\frac{33.24}{12}=\frac{33.14/12}{12/12}=\frac{2.77}{1}=\boxed{2.77}[/tex]

The price per quart should be $2.77.

Hope this helps.  

please answer quick! I will give brainliest! The figure below shows the front side of a purse in the shape of a trapezoid. Find the area of the trapezoid. Be sure to use the proper area formula from your lesson notes!
Make sure to show your work and explain the steps you took in solving the problem using the words “first,” “next,” and “last.”

Answers

Answer:

the area is 110. the formula for a trapezoid is A= a+b/2 × h.

A= a+b/2 ×h= A= 9+13/2×10=110

Use this and explain yourself

When buying tickets to a play​ online, they cost ​$12.75 per ticket plus a ​$12 fee per order. When buying tickets at the box​ office, they cost ​$15.75 per ticket. The total​ cost, c, of n people buying tickets for the play using either method to purchase tickets can be represented by an equation. Write the system of equations. Choose the correct answer below.

Answers

Answer:

Step-by-step explanation:

c=12.75n+12

c=15.75n

=4

Simplify (6w + 5.2) + (12.2 + 2.3w)

Answers

Answer:

The answer is 8.3 W + 17.4

If you click on the image it will show you how to solve the equation and I hope this helps you.

enter a negative number that has a greater absolute value than 5

Answers

Answer:

-10 ||10||

Step-by-step explanation:

Explain the meaning of F(30) = 8,950 in this situation

Answers

Answer:

when you have something like f(x)=... that means

f means function

and every time you see an x or the variable in the parenthesis you plug in for that so it's f(x) =3x+1 then f(2)= 3x+1 every time you see x you plug in 2

Suppose someone gives you 6 to 1 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win 6 dollars if you succeed and lose 1 dollar if you fail. What is the expected value of this game to you. What can you expect if you play 200 times

Answers

Answer:

0.75 ;

150

Step-by-step explanation:

Probability of rolling two even numbers :

{1, 2, 3, 4, 5, 6}

P(even) = 3 / 6 = 1/2

From a roll of 2 dice :

P(even) * P(even) = 1/2 * 1/2 = 1/4 = 0.25

P(not even) = 1 - 1/4 = 3/4

X : ____ 6 _______ - 1

P(x) ____ 0.25 ____ 0.75

Expected value :

Σx*p(x) = (6*0.25) + (-1 * 0.75)

= 1.50 - 0.75

= 0.75

If 200 games are played :, n = 200

Expected value * n

0.75 * 200

= 150

ASAP PLEASE: 16 + 11(-2)2 - 25(⅖) =

Answers

Answer:

-38

Step-by-step explanation:

Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-
axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?

Answers

Answer:

A. A = B and B = C

Answer:

A) A=B and B=C

Step-by-step explanation:

Kris has 3 daughters who all live in different cities across Georgia. She wants to live somewhere that is an equal distance from each of her daughters. She mapped out the 3 cities and drew a triangle connecting them. How can she find a point on the map that is an equal distance from all 3 cities?


construct the incenter

construct the orthocenter

estimate the best place

construct the circumcenter

Answers

Answer: D) construct the circumcenter

===========================================================

Explanation:

Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.

This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.

To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.

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

Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.

-12x2 – 16x
Help me with this please

Answers

Answer:

-4x(3x+4)

Step-by-step explanation:

You have to undo the problem, I will show you how this problem looks if you solve it (the answer i guess? id.k it is hard to explain any other way)

So first we use distributive property-

-4x *3x=-12x^2

-4x*4=-16x

-12x^2-16x  And now we have the problem we started with!

Answer:

its -4x(3x+4)

Step-by-step explanation:

The length of a rectangle is 3 times as big as the width. If beth increases each dimension by 4, write an expression to represent the new area, a, of the rectangle.

Answers

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x.

The length of a rectangle is 3 times as big as the width. Length = 3x

New width = x + 4

New length = 3x + 4

The new area will be:

a = (3x + 4)(x + 4)

a = 3x² + 12x + 4x + 16

a = 3x² + 16x + 16

thank you!!! 20 points

Answers

Answer:

Assuming that the figure is a rectangle:

x=12

angle GJH=22 degrees

Step-by-step explanation:

angle GHJ=angle IJH

5x+8=7x-16

simplify

2x=24

x=12

angle IJH=7x-16

substituting for x

IJH=7(12)-16=84-16=68 degrees

angle GJH=90-IJH

angle GJH=22 degrees

Determine a series of transformations that would map Figure N onto Figure O

Answers

Answer:

Reflect over x-axis. Then translate up 5 units.

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