A student runs laps around a track. Each lap is 1/4 mile. The student runs 2 1/2 miles each day and has a goal to run a total of 45 miles. The student wrote this equation to find x, the number of days needed to complete the goal.

Answers

Answer 1

Answer:

x=18 days

Step-by-step explanation:

since the student runs 2 1/2 miles everyday divide that into 45 miles and you get 18 therefore x=18


Related Questions

Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number.


(Hint: You can use variables to represent the digits of a number. If a two-digit number has the digit x in tens place and y in one’s place, the number will be 10x + y. Reversing the order of the digits will change their place value and the reversed number will 10y + x.)


The difference of the original two-digit number and the number with reversed digits is........

.

Answers

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

Solve the inequality |2x - 28] > 32​

Answers

Answer:

X>30

Step-by-step explanation:

Well the brackets or parethesis or absolutvalue sign thingy doens’t ,matter. Out of all the signs that won’t do anything at all.

Solve it normally

add 28 on both sides

2x>60

60/2=30

x>30

Answer:

Answer should be...

2x - 28 > 32

ADD BY BOTH SIDES (NON-VARIABLES)

    + 28  + 28

2x > 60

DIVIDE BY VARIABLE NUMBER (2)

2x/2 > 60/2

x > 30

A watt is a unit of power, which measures energy used per unit time. A kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr. The electric utility company in Laura's town charges $0.06001 for each
kilowatt hour used. Laura heats her house with three electric heaters that each use 1200 watts. How much does it cost to heat a house in one day? How many hours what a 75 watt lightbulb have to stay on to result in one dollar for electricity charges?

Answers

Answer:

It costs Laura $ 5,184.86 to heat her house one day.

A 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.

Step-by-step explanation:

Given that a kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr, and the electric utility company in Laura's town charges $ 0.06001 for each kilowatt hour used, and Laura heats her house with three electric heaters that each use 1200 watts, to determine how much does it cost to heat a house in one day and how many hours would a 75 watt lightbulb have to stay on to result in one dollar for electricity charges the following calculations must be performed:

(3 x 1200 x 24) x 0.06001 = X

(3600 x 24) x 0.06001 = X

86400 x 0.06001 = X

5,184.86 = X

Therefore, it costs Laura $ 5,184.86 to heat her house one day.

1 watt = 0.001 kilowatt

75 watt = 0.075 kilowatt

1 / 0.075 = 13.333

1 / 0.06001 = 16,663

13,333 x 16,663 = 222.18

Therefore, a 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.

Hi, please help me with this math problem, I need to submit rly quick, thx.

Answers

Answer:

I think its B.

Step-by-step explanation:

Solve the equation 3 tan^2

x − 5 tan x − 2 = 0 for 0° ≤ x ≤ 180°

please explain​

Answers

we can replace tanx with y this making the equation
3y^2 - 5y - 2 = 0 so we solve for y
Δ = b^2 - 4ac (a=3 b=-5 c=-2)
Δ = 25 + 24 = 49
y1 = (5 + 7) / 6 = 12/6 = 2
y2 = (5 - 7) / 6 = -2/6 = -1/3
since tan is positive in the first and third quadrant and according to the question x belongs somewhere in the first two quadrants the following is true
for y1 = tanx = 2 only applies for the first quadrant ( from 0° to 90°) while for y2 = tanx = -1/3 it can only apply for the second quadrant (from 90° to 180°). i hope this made sense because english is not my first language.

Pleaseee tell me if im right!! I already solved and my answer is 84 square units, but im not sure.. pleaseee help me

Answers

Answer:

84

Step-by-step explanation:

12*5=60

4*6=24

60+24=84

Answer:

nooo

Step-by-step explanation:

see longest side is 12 then 11 then 4 then 12 -4 =8 and last 5

answer 32

follow me

don't forget to mark my answer

and I will also follow you

I need help asap again pls help me io needd help plzzzzzzzzzzzzzz

Answers

Answer: isosceles

equilateral is all sides are the same

scalene is all sides dif

isosceles is at least two sides the same

Answer: It’s isosceles big truzz

(NO LINKS)

Please help this assignment is over due and I don't get it thxx ;)

Answers

Answer:

12.5

Step-by-step explanation:

6 x 12.5 = 75

75 / 6 = 12.5

12.5 is the answer.

Answer:

12.5

Step-by-step explanation:

PLEASE HURRY WILL MARK BRAINLEST
If the odds of being born on each day of
the week is equal, what is the probability
of two separate babies both being born
on a school day? (Monday through
Friday)

Answers

Answer:

1/25

Step-by-step explanation:

days in a week is 7

odds of being born on each 7 days is equal

x born = 7 days

pr(one separate baby) = 1 ÷ 5

pr(second separate baby) = 1 ÷ 5

pr(both being born on a school day) = 1/5 × 1/5

= 1/25

Do the values of the numbers increase or decrease as the numbers go from -2 to -8?

Answers

Answer:

The number decreases

Step-by-step explanation:

The number decreases because if it's on -2 the way it will increase will be on going forward with no negatives

Determine if the sequence An is convergent. If the sequence is convergent, state its limit. If the series diverges, mark the sequence as either Divergent or Divergent because the sequence is unbounded (or -) S13 18 23 28 33 8 5n An 5 8 11 14 17 2 3n Convergent sequence whose limit is O Divergent O Divergent because the sequence is unbounded (or - 00)

Answers

Answer:

The answer is "[tex]\frac{5}{3}[/tex]"

Step-by-step explanation:

[tex]A_n={\frac{13}{5},\frac{18}{8},\frac{23}{11},\frac{28}{14},\frac{33}{17},..................\frac{8+5n}{2+3n}}\\\\[/tex]

[tex]\to A_n=\frac{8+5n}{2+3n}\\\\\to \lim_{n \to \infty} A_n = \lim_{n \to \infty} \ \frac{8+5n}{2+3n}= \lim_{n \to \infty} \ \frac{\frac{8}{n}+5}{\frac{2}{n}+3}=\frac{0+5}{0+3}=\frac{5}{3}[/tex]

In this sequence An is convergents where limits are [tex]\frac{5}{3}[/tex].

What is the value of b?

Answers

Answer:

105°

Step-by-step explanation:

since its a straight line then put it equal to 180. First we add and then subtract from 180, like this.

52+23=75

180-75=105

b=105°

what I do is I just add the two degrees you already have and since we know the long line is 180° you would just subtract 180 and 75 :•)

How do -1 3/4 and 1 1/4 compare? Chose a symbol to make the statement true?​

Answers

The answer would be

Answer:

the answer is <

Step-by-step explanation:

Help please will mark brainliest!!

Answers

Answer:

p=12 is the answer for the question

I belive it is half of rs, so 40 degrees

Find the volume of a rectangular prism with a base that has an area of 22 square cm and a height of 8 cm. formula V=LxWxH ​

Answers

Answer:

176 cu. cm

Step-by-step explanation:

Vol. of prism = Bh where B is the area of the base and h is the height

V = 22(8) = 176 cu. cm

(6x-5)+(-7x+2)
and
(6x-5)-(-7x+2)
Need work

Answers

Answer:(6x-5)+(-7x+2)

1 Remove parentheses.

6x-5-7x+2

2 Collect like terms.

(6x-7x)+(-5+2)

3 Simplify.

-x-3

_____________________________

1 Remove parentheses.

6x-5+7x-2

6x−5+7x−2

2 Collect like terms.

(6x+7x)+(-5-2)

3 Simplify.

13x-7

Hope this helps

                                                                -Tobie the dog <3

☆Answer : A)

6x - 5 + (-7x + 2) = ...

= 6x - 5 - 7x + 2

= (6x - 7x) + (-5 - 2)

= -x - 7

[tex]\:[/tex]

B)

6x - 5 - (-7x + 2) = ...

= 6x - 5 + 7x + 2

= (6x + 7x) + (-5 + 2)

= 13x - 3

Box Plot for Problem #12​

Answers

I don’t see an image for this.

PLS ANSWER ILL GIVE BRAILIEST IF RIGHT

Answers

Answer:

Its upside down. Cant see what it says

Step-by-step explanation:

Explain what the vertical line test is and how it is used.

What is the range of the given function?

{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

{x | x = –5, –4, –2, 0, 2}
{y | y = –9, –3, 0, 5, 7}
{x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
{y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}

Answers

✧ [tex] \underline{ \underline{ \pink{\large{ \tt{E \: X \: P \: L\: A \: N \: A \: T \: I \: O \: N}}}}}: [/tex]

Part 1 :

☃ [tex] \underline{ \large{ \sf{Vertical \: Line \: Test}}} : [/tex] ⇾ All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called the vertical line test.

If the vertical line intersects the graph of a relation at one point , the relation is a function.If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.

( See the attached picture )

In the picture ' 1 ' , The vertical line ( dotted line ) cuts the graph at one point ( P ). Thus the graph represents a function.In the picture ' 2 ' , The vertical line ( dotted line ) cuts the graph at two points P & Q. So, the graph does not represent a function.

Part 2 :

☂ The set of all the images of the elements of domain under the function ' f ' is called the range of a function. In other words , the set of second components of a function is called range. We are given the function :

{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

The above numbers [ in bold ] are the range of given function. Now, If we arrange these numbers in ascending order, we get ( -9 , -3 , 0 , 5 , 7 ).

Hence , Choice B [ {y | y = –9, –3, 0, 5, 7} ] is correct.

♕ Hope I helped! ♡

☄ Have a wonderful day / night ! ☼

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ☥

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Sample Response:

The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.

Please help answer my question i dont know how to solve it.

Answers

the answer is D
x-4y=3

Find the slope of the line that passes through
(8,3) and (3, 4)?

Answers

(Y2 -Y1)
————-
(X2-X1)

4-3
—— =
3-8

1/-5

If a wheel has a diameter of
35 inches, what is the area of
the wheel to the nearest foot?

Answers

Answer:

961.625 ≈ 962

Step-by-step explanation:

(A WHEEL IS A CIRCLE!)

To find the area of a circle, you must multiply the radius by itself twice, then, multiply the product by pi (radius x radius x pi).

Here, only the diameter is shown.

To find the radius, we must divide the diameter by 2.

35 / 2 = 17.5

17.5 is the radius.

17.5 x 17.5 = 306.25.

**3.14 is commonly used for pi**

Lastly, we multiply the product by pi.

306.25 x 3.14 = 961.625

961.625 rounded to the nearest foot is 962.

Therefore, the area of the wheel is 962 feet.

please answer this question, this is based in circumference, radius and diameter

Answers

Answer:

If the radius of the circle is 7cm . Its area is 154cm square.

-x + 48 = 17 what os the value of x

Answers

Answer:

x=31

Step-by-step explanation:

we need to isolate x so we put 48 t the other side to make -x=17-48

we do 17-48 =-31 so -x=-31

x=31

Help plssss!!! I would really appreciate it!

Answers

Answer:

The table represents a linear function.

Step-by-step explanation:

Graphed, the points go in a straight line, and you are able to draw a line through it. The equation for the line is y = 4x + 4.

Help me for a brianly

Answers

The answer is 22.6 which is A

the answer is 11.3

because the circumstance formula of circle is ,

[tex]\pi \: d[/tex]

HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLLLLLLLLLLLLLLLLEEEEEEEEEEEEEAAAAAAAAAAAAASSSSSSSSSSSSSSSSEEEEEEEEEEEEEEE

Answers

Answer:

x = 12

Step-by-step explanation:

m<BCF and m<CFE are same-side interior angles.

Same-side interior angles are supplementary. This implies that:

m<CFE + m<BCF = 180°

where,

m<CFE = 11x°

m<BCF = 4x°

Plug in the values

11x + 4x = 180

15x = 180

x = 180/15

x = 12

the area of the following triangle is...?

Answers

Answer:

A) 24

Step-by-step explanation:

Area of a triangle formula:

A = 0.5bh

Given:

b = 12

h = 4

Work:

A = 0.5bh

A = 0.5(12)(4)

A = 6(4)

A = 24

The sum of 3 consecutive even numbers is 78.
What is the second number in this sequence?

Answers

Answer: 10

Step-by-step explanation: 8+10+60=78

what is equivalent to 100+20

Answers

Answer:

hi

Step-by-step explanation:

100+20 is equal to 120

have a nice day

Answer:

I think what you are looking for is 120

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