The distance from Matt’s home to school is 5/8 of a mile. He has biked 3/8 of a mile. How much further does he have to bike?

The Distance From Matts Home To School Is 5/8 Of A Mile. He Has Biked 3/8 Of A Mile. How Much Further

Answers

Answer 1

Given:

The distance from Matt’s home to school is [tex]\dfrac{5}{8}[/tex] of a mile.

He has biked [tex]\dfrac{3}{8}[/tex] of a mile.

To find:

How much further does he have to bike?

Solution:

We have,

Total distance from Matt’s home to school = [tex]\dfrac{5}{8}[/tex] of a mile.

Distance covered = [tex]\dfrac{3}{8}[/tex] of a mile.

Remaining Distance = [tex]\dfrac{5}{8}-\dfrac{3}{8}[/tex] of a mile

                                 = [tex]\dfrac{5-3}{8}[/tex] of a mile

                                 = [tex]\dfrac{2}{8}[/tex] of a mile

                                 = [tex]\dfrac{1}{4}[/tex] of a mile

Matt has [tex]\dfrac{1}{4}[/tex] mile left to bike.

Therefore, the correct option is A.


Related Questions

MATH PLEASE HELP!


A square field has an area of 479² ft What is the approximate length of a side of the field? Give your answer to the nearest foot. Explain your response.

Answers

Answer:

≈ 22 ft

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( where s is the side length )

Given A = 479, then

s² = 479 ( take the square root of both sides )

s = [tex]\sqrt{479}[/tex] ≈ 22 ft ( to the nearest foot )

Answer:

A = 479 sq ft

479 = x²

square root of 479 = square root of x²

21.89 = x

rounded= 22 ft

Find the volume of the potato chip container. Use 3.14 for 7. Round to the nearest tenth place,
LZ
Potato
Chips
20 cm
Ranch
7 cm

Answers

Step-by-step explanation:

[tex]v \: cylinder = \pi \times r {}^{2} \times h \\ 3.14 \times 3.5 {}^{2} \times 20 \\ 3.14 \times 12.25 \times 20 \\ = 769.3[/tex]

you should round to nearest tenth place...I dont know...hope it helps

What is ½ + ⅙ rewritten with a common denominator?

Answers

Answer:

4/6

Step-by-step explanation:

look for the LCM of the denominators then divide with each denominator and multiply the answer you have got with the numerator after add it you want change it to it's simplest form

Somebody pls help me!!!

Answers

Answer:  60 units

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

Explanation:

The similar red marks on the angles tell us those angles are congruent. So they are the same measure.

The sides opposite those congruent angles are the same length. This means AC = BC. This triangle is isosceles.

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

Solve for x

AC = BC

5x-8 = 2x+7 .... substitution

5x-8-2x = 7 ... subtract 2x from both sides

5x-2x = 7+8 ..... add 8 to both sides

3x = 15

x = 15/3 ... divide both sides by 3

x = 5

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

Use that x value to compute each side length

AB = 3x+11 = 3*5+11 = 15+11 = 26

BC = 2x+7 = 2*5+7 = 10+7 = 17

CA = 5x-8 = 5*5-8 = 25-8 = 17

Note how BC and CA are the same length (17 units). This helps confirm we have the right x value.

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

The last step is to add up all the side lengths to get the perimeter

perimeter of triangle = sum of all the sides

perimeter of triangle = side1 + side2 + side3

perimeter of triangle ABC = AB + BC + CA

perimeter of triangle ABC = 26 + 17 + 17

perimeter of triangle ABC = 60 units

Answer:

Step-by-step explanation:

Remark

The sides opposite the 2 base angles are equal. That gives you x. Then all you have to do is substitute in the 3 binomials.

Equation

5x - 8 = 2x + 7                 Add 8 to both sides

Solution

5x - 8 + 8 = 2x + 7 + 8   Combine

5x = 2x + 15                   Subtract 2x from both sides

5x-2x = 2x-2x + 15        Combine

3x = 15                           Divide by 3

x = 5

Side length

5x - 8 = 5*5 - 8 = 25 - 8

5x - 8 = 17

3x + 11 = 3*5 + 11 = 15 + 11 = 26

Perimeter

17

17

26    Add

Perimeter = 60

tan2A - sin2A =sin2Atan2A​

Answers

Step-by-step explanation:

[tex]\tan^2\alpha-\sin^2\alpha=\sin^2\alpha\tan^2\alpha\\\\LS=\left(\dfrac{\sin\alpha}{\cos\alpha}\right)^2-\sin^2\alpha=\dfrac{\sin^2\alpha}{\cos^2\alpha}-\dfrac{\sin^2\alpha\cos^2\alpha}{\cos^2\alpha}\\\\=\dfrac{\sin^2\alpha-\sin^2\alpha\cos^2\alpha}{\cos^2\alpha}=\dfrac{\sin^2\alpha(1-\cos^2\alpha)}{\cos^2\alpha}=\dfrac{\sin^2\alpha\sin^2\alpha}{\cos^2\alpha}\\\\=\sin^2\alpha\cdot\dfrac{\sin^2\alpha}{\cos^2\alpha}=\sin^2\alpha\left(\dfrac{\sin\alpha}{\cos\alpha}\right)^2=\sin^2\alpha\tan^2\alpha=RS[/tex]

Used:

[tex]\tan x=\dfrac{\sin x}{\cos x}\\\\\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\sin^2\alpha+\cos^2\alpha=1\to \sin^2\alpha=1-\cos^2\alpha\\\\\text{distributive property}\ a(b+c)=ab+ac[/tex]

Need help!! Please!! Offering 20 points!

Answers

Answer:i

Step-by-step explanation:

I think it’s A. 18
I’m sorry if it’s wrong

Y = [ ? ]

PLEASE HELP

Answers

Answer:

120

Step-by-step explanation:

First, you want to find the third angle

to do that you 180-33+87=60

x=60

since x and y are on a straight line, to find y would be 180-x

180-60=120

y=120

What is the answer to r-5r-6s+8s-15

Answers

Answer:

-4r+2s-15

Step-by-step explanation:

collect like terms

r-5r= -4r

-6s+8s= 2s

therefore -4r+2s-15

Choose all the factors of 12. (Check all that apply.)
1
5
8
7
6
3
12
11
4
2
10
9
plz help me

Answers

Answer:

1,2,3,4,6,12

Step-by-step explanation:

12•1= 12

2•6= 12

3•4= 12

the answer is 1, 2, 3, 4, 6, 12. 2 and 3 are prime factors so it has six factors and two prime factors

Sofia spent $157.25 to make facemasks. After selling 500 facemasks, her revenue was
estimated to be $364.43. Did Sofia make a profit or loss? How do you know? Explain.

Points will be given!!

Answers

Profit because 364.43>157.25 since revenue (income) is greater than money spent she made a profit
She made a profit even tho it wasn’t as high as a profit, because she made more in revenue than she did spending to make the product itself !

Just need the explain your answer part. Can anyone help seventh grade math please DESPRATE

Answers

9514 1404 393

Answer:

  140, 35, 260/35, 7.43, 8

Step-by-step explanation:

The last section is just a summary of the preceding sections, a short description of the problem and how you worked it.

She sells the jackets for 140% of $25, or $35. 260/35 = 7.43 She can only sell a whole number of jackets, so she needs to sell 8.

how many solutions can be found by the equation 3y+5-2y=11?

Answers

We can solve the equation to find it's number of solutions, but we already know it only has 1 solution because it is a linear equation (y is raised to the first power).

3y + 5 − 2y = 11
y + 5 = 11
y = 6

This confirms that there is only 1 solution.

All tickets to a play have the same cost. A group bought 6 tickets and paid a total of $99. Write a multiplication equation that can be used to determine cost c in dollars for each ticket.

Answers

You can use the equation 6c= 99

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.

The cost of each ticket is $16.5.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

6 miles in 2 hours

0ne hour will be 3 miles.

We have,

6 tickets = $99

Divide both sides by 6.

1 ticket = 99/6

1 ticket = $16.5

The multiplication equation to determine the cost C in dollars of each ticket:

$C = 99 x 1/6

Thus,

The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.

The cost of each ticket is $16.5.

Learn more about unit rates here:

https://brainly.com/question/28394073

#SPJ2

What is the solution to the system below?
3x + y = 11
y = x + 3

Answers

Answer:

x = 2

y = 5

Step-by-step explanation:

3x + y = 11 equation (1)

-x + y = 3 multiply this equation by -1

x - y = -3 equation (2)

by adding 2 equations

4x = 8

x = 2

by sub. in Equation (2)

2 - y = -3

y = 2+3

y = 5

pls help me figure this out!!! quick!!​

Answers

It’s 35°

The angle is a right angle which is 90°
So basically, just do 90 minus the given degree, which equals to 35°
90-55=35

Hope this helps! If any questions, feel free to ask! :D

Answer:

35 degrees

Step-by-step explanation:

I think that's a right angle? If so, right angles always are 90 degrees, and 90 - 55 = 35.

if csc Ф = 4/3, what is the value of sin Ф

Answers

Answer:

sinθ = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Using the trigonometric identity

sin x = [tex]\frac{1}{cscx}[/tex] , then

sin

θ = [tex]\frac{1}{\frac{4}{3} }[/tex] = [tex]\frac{3}{4}[/tex]

One car averages 18 miles per gallon while another averages 32 miles per gallon. If both cars travel 14,400 miles per year, how many more gallons does the first car use?

A.288
B.350
C.450
D.512
E.800

Answers

B.
Because 14,000/18=800, 14,400/32=450
800-450=350

what is -8 * -10/-8(-10​

Answers

-8*-10/-8*-10

= 80/80

=1

So, 1 is the correct answer. (:


Please help me ✨✨✨✨✨

Answers

49 would be the correct answer

i have no idea what to do (dont mind the extra woork ik its wrong)

Answers

Answer:

A) Scale factor from A to B is 2

B) Length of left side is 3 and length of right side is 5.

Step-by-step explanation:

A) Length of the top side is 2.5 in A and is 5 in polygon B. 5/2.5 = 2, therefore scale factor is 2.

B) Because the scale factor is 2, each of the sides double while the angles stay the same. Therefore, the length of the side on the left is 3 and length of the side on the right is 5.

1.5 x 2 = 3

2.5 x 2 = 5

Part (a)

Divide the upper horizontal lengths of the two figures:

5/2.5 = 2

The scale factor is 2. This means figure B has side lengths twice as long compared to figure A.

Answer: Scale factor = 2

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

Part (b)

The missing side length seems to be the diagonal side of figure B. I'm not sure what's going on with the vertical side 89.4 as that should be 3 instead (since 1.5*2 = 3).

The diagonal side is 5 units long since we double 2.5 to get 5.

Answers:

vertical side = 3

diagonal side = 5

Is the following fraction terminating or repeating? *
-3
__
7

Terminating
Repeating

Answers

Answer:

repeating -0.428571.....

Guys plz help me I need the answer fast.

Answers

Answer:

can you put the problem and the answer choices in the ch.at or something so i can answer, or just the problem

Step-by-step explanation:

There’s nothing to answer

Which of the tables represents a function? (5 points)


Table A

Inputs

Output

3

1

3

4

2

3

Table B

Input

Output

2

7

5

6

2

9

Table C

Input

Output

1

5

7

2

7

3

Table D

Input

Output

3

4

1

5

8

5

Group of answer choices


Table C


Table D


Table A


Table B

Answers

Answer:

It's table D

Step-by-step explanation:

I just took the test.

Answer:

The answer is table D!

Step-by-step explanation:

What is the area of polygon PQRS?

Answers

Where are the answers?

Step-by-step explanation:

1) starting with the rectangle 6*15 which is 90 (that’s the area for it)

2) take 8*17 for the triangle which is 136 and divide it by two 136/2 and you’ll get 68 (that’s the second area)

3) add them together to get the full area 68+90=158

Geoffrey used 7 out of his 20 tokens on one game at the arcade. What is this fraction written as a decimal?

Answers

Answer:

0.35

Step-by-step explanation:

[tex]\frac{7}{20}[/tex]

  20 ) 7   ( 0.35

          0

           70

          60

            100

            100

                0

Answer:

7\20 as a decimal is

0.35

A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long congruent sides are 2 centimeters longer than the two shorter congruent sides.

Let x = length of a short side
Let y = length of a long side

The system of equations can be used to represent the situation.

y = x + 2
2x + 3y = 36

What is the length of one of the shorter congruent sides?

Answers

Answer:

Length of one of the shorter congruent side is: 6 cm

Step-by-step explanation:

In order to find the length of congruent sides we have to solve the system of equations

Given systems of equation is:

y = x + 2

2x + 3y = 36

Putting y = x+2 in second equation

[tex]2x + 3(x+2) = 36\\2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x =6[/tex]

As we know that x represents the shorter side, the length of short side is: 6 cm

Hence,

Length of one of the shorter congruent side is: 6 cm

Annual Rainfall of Cities
How many intervals could represent an
annual rainfall of 30 in -36 in?
A) 2
B)4
C)3
D) 5

Annual Rainfall (in.)
OA
OB
Oc

Answers

Answer:

B: 4

Step-by-step explanation:

The graph shows that there is 4 units between the numbers 30-36.

Hope this helps!

Rent-A-Car rents compact cars for a fixed amount per day plus a fixed amount of each mile driven. Ben rented a car for 6 days, drove it 550 miles, and spent $337. Lisa rented the same car for 3 days, drove it 350 miles, and spent $185. What is the charge per day and per mile to rent that car?

Answers

Answer:

$36 per day plus $0.22 per mile

Step-by-step explanation:

For Ben,

Total miles driven = 550 miles

Number of days = 6 days

Total cost = $337

For Lisa

Total miles driven = 350 miles

Number of days = 3 days

Total cost = $185

Solving Simultaneously;

6d + 550m = 337

3d + 350 m = 185

Multiply equation 2 by 2  we have

6d + 550m = 337   ----1

6d + 700m = 370------2

So;

Subtracting equation  1 from equation 2

150m = 33

m = 33/150

m = $0.22

Substitute m=0.22 into equation 1

6d + 550(0.22) = 337

6d + 121 = 337

6d = 337 - 121

6d = 216

d = 216/6

d = $36

Hence the charge is $36 per day plus $0.22 per mile

Which point (x,y) satisfies the given system of inequalities?
A. (3,-1)
B.(1,-6)
C. (-3,-1)
D. (-1,-6)

Answers

The answer is C: (-3,-1)

To test if points satisfy an equation, all you need to do is test the numbers in both of the equations it provides you

Here is proof the answer is C :

y > x - 2

(lets plug in point C)

-1 > -3 - 2

solve

-1 > -5 ?

Yes this statement is true- onto the next inequalitity!

y > 2x + 2

-1 > 2(-3) + 2

solve

-1 > -6 + 2

-1 > -4 ?

Yes, this inequality is true too!

Know we know answer c (-3,-1) is the right answer!

What is the value of a+b+c explain your reasoning

Answers

Answer:

im not sure but maybe d

Step-by-step explanation:

= fbecause a+b= e and then you add c to that so c+e=f
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