James is running late to his cousin's wedding and drives the 45 miles between his house and the wedding location 20 miles per hour faster than the speed, r, that he drives to get home. It takes him t hours to get to the wedding and 1 hour to get home. Which equation best represents this information? A.) 45=20t B.)r+20=32 C.)45=(r+20)t+r D.)(r+20)t=r

Answers

Answer 1

Answer:

(r + 20)t = r

Step-by-step explanation:

Distance is constant in the scenario above, distance from home to wedding and wedding back home is the same.

From wedding back home. :

Recall : Distance = speed * time

Distance = r * 1 hour

From home to wedding :

Speed = 20 mph more ; r + 20

Time = t

Distance = (r + 20)* t = (r +20)t

Since the distance are the same, we can equate both :

(r + 20)t = r * 1

= (r + 20)t = r


Related Questions

If (x²- 4) = (x + 2) = x - 2, which polynomial should fill in the blank below?
(x + 2)x____= x² - 4
O x² – 4
OX-2
O x + 2
O x²-2

Answers

Answer:

x-2

Step-by-step explanation:

(x+2)× ___=(x+2)(x-2)

___=(x+2)(x-2)/(x+2)

___=x-2

The polynomial which should be filled in the blank is (x - 2).

What are Polynomials?

Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given that,

x² - 4 = (x + 2) (x - 2).

We have to find the blank space.

By commutative property, the other side is also equal.

That is,

(x + 2) (x - 2) = x² - 4

Hence the correct option is (x - 2).

Learn more about polynomials here :

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I really need help with all 5 questions please help so confusing.

Answers

Answer:

if t=x

1)196

2)3.5

3)96

4)4

5)when t is 3 or when t is 4

1. A population of ants starts at 48 and triples every hour.

Write an equation to represent the situation

How many ants will there be in 4 hours?
I

Answers

Answer:3888

Step-by-step explanation:

144= 1 hours

432=2 hours

1296=3 hours

3888=4 hours

Help I am stuck I don’t understand

Answers

Answer:

Step-by-step explanation:

If it's a parallelogram, the diagonals chop each other in half.  Which means the two parts of the long diagonal equal each other and the two parts of the short diagonal also equal each other.  Since you have two veriables and two equations, then it's a system and you have to solve the system of equations like we learned in Algebra 1

Simplify the question

Answers

Answer:

2ab/ 3 x b/2b

(2ab/ 3) x (1/2) ( b is cancel)

2ab/6

ab/3

Step-by-step explanation:

I need a answer plss its urgent

Answers

Both “a” and “d” are correct. Both have positive slopes and both contain (1,5).

Please choose how many solutions there are to this system:
(The problem is solved, but I don't know how many solutions there are. Also, please do not add a link, I cannot access them!)

Answers

Since the square root of a negative number isn't a real number, this problem has no real solutions. The answer is [There are no real solutions to the system]

5 is what percentage of 10 question: now do I divide 5 divided by 10 equals 0.5 then do I multiply 0.5 by 100 or divide 0.5 by 100?

Answers

Answer:

50%

Step-by-step explanation:

5 question is what percentage of 10 question

Step 1: Divide 5 by 10

5/10 = 0.5

Step 2: multiply 0.5 by 100

0.5 × 100

= 50%

Therefore, percentage of 5 questions out of 10 questions is 50%

Answer:

50%

Step-by-step explanation:

5 is half of 10

50 is half of 100

What is an equation of the line that passes through the points (0, 8) and (-5, 4)?

Answers

The following photo below is many ways to solve it but the answer is boxed for you!

The temperature of chicken soup is 192.7°F. As it cools, the temperature of the soup decreases 2.3°F per minute. What is the temperature in degrees Fahrenheit of the soup after 25 minutes?

Answers

Answer: 135.2 °F

Step-by-step explanation:

The temperature decreases at a rate of 2.3 °F per minute.

This means that in 25 minutes, the temperature would have reduced by:

= 2.3 * 25

= 57.5°F

If the original temperature was 192.7 °F, the temperature after 25 minutes will be:

= 192.7 - 57.5

= 135.2 °F

Determine the slope of the line.

Answers

Answer:

what line?

Step-by-step explanation:

I don’t see the line

b) Select all expressions that can be used to find 85% of 280.
A.
8.5
10
280
B.
0.85
100
280
C.
85
100
280

Answers

Answer:

238

85%of 280 is 238

Step-by-step explanation:

hope this helps

Please help ASAP with slopes and explain!!! I will mark brainliest if right!!!

Answers

Answer:

d

Step-by-step explanation:

because a - b is minus 1. and a - b is plus 2. rise over run equals -1 / 2. ur welcome

A regular 13-gon is inscribed in a circle. Find the measure of each are intercepted by the sides of the polygon. Round your answer to the nearest hundreth of a degree.

Answers

Answer:

The measure of the angle subtended by each arc intercepted by the sides of the reh13-gon is approximately 27.69°

Step-by-step explanation:

The number of of equal sides in a regular 13-gon = 13 sides

The measure of the angle, 'θ', subtended by each arc intercepted by the sides of the 13-gon is given as follows;

θ = 360°/13 = [tex]27\dfrac{9}{13} ^{\circ}[/tex]  

By rounding rounding the answer to the nearest 10th, we have that the measure of the angle subtended by each arc intercepted by the sides of the 13-gon, θ = [tex]27\dfrac{9}{13} ^{\circ}[/tex] ≈ 27.69°

Find the exact value of y.

Answers

Answer:

[tex]y = \sqrt{3}[/tex]

Step-by-step explanation:

Use 45-45-90 triangle proportions y: y : y[tex]\sqrt{2}[/tex]

The hypotenuse is y[tex]\sqrt{2}[/tex] so [tex]\sqrt{6}=y\sqrt{2}[/tex]

y = [tex]\sqrt{3}[/tex]

help i know it but my brain isnt working because of anxiety

Answers

Answer:

It's angles 2 and 5

Step-by-step explanation:

Supplementary angles or angles that are obtuse or over 90°

24 less than the number of snakes is 35.​

Answers

This doesn’t make sense..... elaborate

NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

B = 240/h

Step-by-step explanation:

Can you answer this question​

Answers

Answer:

x = 22

y= 24

Step-by-step explanation:

110 = 5x

x = 110/5

x = 22

6y-4= 360-220

6y-4 = 140

6y = 144

y = 24

How many flowers, spaced every 4 in., are needed to surround a circular garden with a 100-ft radius?

Answers

Answer:

1885 flowers

Step-by-step explanation:

Given that:

Radius, r of circle = 100 feets

The Circumference of the circke is thus ; 2πr

C = 2 * π * 100

C = 628.31853 feets

Converting feets to inches

1 foot = 12 inches

628.31853 feets = 628.31853 * 12 = 7539.8223 inches

If flowers are spaced at 4 inches :

Number of flowers that can be planted :

Circumference of circle / spacing

7539.8223 / 4

= 1884.9555 flowers

= 1885 flowers

Help pls and thank you :)

Answers

D (7) should be the correct answer.
D (x=7) is the answer lol

What is the value of the y-intercept of the graph f(x)=−6⋅7.5x?

Enter your answer in the box.

y =

Answers

Answer:-6

Step-by-step explanation:

The value of the y-intercept is 0.

y = 0

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the given function is:

f(x) = -6 x 7.5x

We can rewrite this in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept:

f(x) = -6 x 7.5x + 0 (since the x-term has a coefficient of 0)

f(x) = -45x + 0

So, the slope of the line is -45 and the y-intercept is 0.

Therefore,

The value of the y-intercept is 0.

y = 0

Learn more about equation of a line here:

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What is the missing length?
20 cm
area = 580 cm

Answers

Answer:

580 / 20 = 29 cm = P

Joy plans to use a circular tarp to cover her circular picnic table. Which of the following statements is true?
a. Joy can use the height of the picnic table to determine the size of the tarp necessary. b. Joy can use the area to determine the size of the tarp necessary. c. Joy can use volume to determine the size of the tarp necessary. d. Joy can use the perimeter to determine the size of the tarp necessary.

Answers

Answer:

A:Joy can use the height of the picnic table to determine the size of the tarp necessary

Solve for x.
3x + 4 = 16
Pls help asap

Answers

Answer:

3x+4=16

3x=16-4

3x=12

x=4

Answer:

X Will be the answer 4.

Step-by-step explanation:

You can Check Your answer By substituting The Numbers.

I hope This helped.

10/√149

PLZ HELP IVE BEEN STUCK ON THIS PROBLEM FOR AGES

Answers

Answer:

≈0.819232 or [tex]\frac{10\sqrt{149} }{149}[/tex]

Step-by-step explanation:

[tex]\frac{10}{\sqrt{149}}[/tex] times [tex]\frac{\sqrt{149} }{\sqrt{149} }[/tex]

[tex]\frac{10\sqrt{149} }{149}[/tex]

HURRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYR

Answers

Answer:

You're answer is c 55/6.

Answer:

C. 55/6

Step-by-step explanation:

It’s 11/3 + 11/2. To get the same denominator multiple the top and bottom of the left fraction by 2 and the top and bottom of the right fraction by 3. Then you get 22/6 + 33/6 which is 55/6

The expression 3(x-9) is equivalent to
3(x)+9.
3(x)+3(9).
3(x) – 9.
3(x) – 3(9).

Answers

Answer:

option 4

Step-by-step explanation:

Distributive property: a(b + c) = a*b + a*c

3(x - 9) = 3*x - 3*9

Answer:

D. 3(x) - 3(9)

Step-by-step explanation:

What’s the perimeter of this figure

Answers

Answer:

26

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

11+2+6+7+(the not given side which is equal to 7-2=5)

11+2+6+7+5=31

Can someone please answer this question. If I get it right this is hopefully the last question I’ll be posting for the rest of the day

Answers

The answer for the question is 59

Answer:

53°

Step-by-step explanation:

not sure what you mean by nearest degree but use the cosine ratio to get the answer.

in ΔCDE we have the hypotenuse and adjacent side so use cosine ratio : cos C= 45/75

<C=cos^1 (45/75)

<C= 53°

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