A marathon is a 26-mile race. An athlete is running a marathon that eventually finishes at a local high school. After x minutes, the distance the athlete is from the school is given by y(in miles), where x+10y=260

If the runner ran for 40min from the start line, what is the remaining distance between the runner and the school?

Simplifying

2x + 9 + -10 = -5

Reorder the terms:

9 + -10 + 2x = -5

Combine like terms: 9 + -10 = -1

-1 + 2x = -5

Solving

-1 + 2x = -5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + 2x = -5 + 1

Combine like terms: -1 + 1 = 0

0 + 2x = -5 + 1

2x = -5 + 1

Combine like terms: -5 + 1 = -4

2x = -4

Divide each side by '2'.

x = -2

Simplifying

x = -2

I hope it helps you

Answer:

answer is D

Step-by-step explanation:

i promise good luck

Answer:

d

Step-by-step explanation:

change the fractions into improper fractions

then multiply nominators by nominators

then same for denominators

then simplify

Answer:

Rational numbers are those numbers that are integers and can be expressed in the form of x/y where both numerator and denominator are integers whereas irrational numbers are those numbers which cannot be expressed in a fraction. ... The denominator of a rational number is a natural number(a non-zero number).

Answer:

Rational

Step-by-step explanation:

A rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← where a and b are integers

Given

1.304

= 1 + [tex]\frac{304}{1000}[/tex]

= [tex]\frac{1304}{1000}[/tex] ← as a rational number

Answer:

k=57

Step-by-step explanation:

-k+15=k-99(vertically opposite angles)

k=57

Opposite angles are equal

[tex]\\ \rm\longmapsto -k+15=k-99[/tex]

[tex]\\ \rm\longmapsto -k-k=-99-15[/tex]

[tex]\\ \rm\longmapsto -2k=-114[/tex]

[tex]\\ \rm\longmapsto 2k=114[/tex]

[tex]\\ \rm\longmapsto k=\dfrac{114}{2}[/tex]

[tex]\\ \rm\longmapsto k=57[/tex]

Answer:

-315

Step-by-step explanation:

Plug in 5 as a and -7 as b into the term:

9ab

9(5)(-7)

Multiply:

= -315

So, the answer is -315.

[tex]\huge\boxed{\textsf{Hey there!}}\\\\\\\huge\boxed{\mathsf{9ab}}\\\huge\boxed{\mathsf{= 9(5)(-7)}}\\\huge\boxed{\mathsf{= 45(-7)}}\\\huge\boxed{\mathsf{= -315}}\\\huge\boxed{\frak{Answer: -315}}\huge\checkmark\\\\\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

A solution to a system of equations are where the two lines cross over each other.

System A the graph shows one line which means the two lines are on top of each other. This means any point on the lines are a solution so there are infinite number of solutions.

System B, the lines cross at one point is there is only one solution which is at (-3,2)

System C the two lines are parallel to each other and never cross so there are no solutions.

Step-by-step explanation:

(i) Infinite solution

If there is only one line then it is a infinite solution.

(ii) One solution

Both are intersecting each other.

Solving

-x - 1 = x + 5

-x - x = 5 + 1

-2x = 6

x = 6/-2

x = -3

y = -x + 5

y = -3 + 5

y = 2

(iii) No solution

Because they are parallel to each other

Answer:

$2.18

$15.45-$2.37=$13.08

$13.08/6

$2.18

Answer:

x > 2

Step-by-step explanation:

Distribute and cross-simplify 1/2 with parenthesis

4x + x + 2 > 12

Solve left side

5x + 2 > 12

Subtract 2 from both sides

5x > 10

Divide both sides by 5

x > 2

Answer:

c

Step-by-step explanation:

Option c is correct. All points are equally spaced from the line x=1 as their images do. They are symmetric about the line x=1. For instance, point A and A' are both 3 units from the line x=1.

Option a and B are wrong as we cannot see and swapping of x and y coordinates to a point.

For option d, only point A is shifted 6 units to the left to A', but point B shifted 8 units to B'. Incorrect.

Answer:

30 gallons solution 4% and 10 gallons solution 8%

Step-by-step explanation:

4x+8y=40•5 and x+y=40

x=40-y

4(40-y)+8y=200

160-4y+8y=200

4y=200-160

4y=40 => y=10 (gallons solution 8%)

=> x=40-10=30 (gallons solution 4%)

30 gallons solution 4% and 10 gallons solution 8%

Answer:

i believe that answer would be D

Step-by-step explanation:

Answer:

triangles that have the same size and shape.

Answer:

28

Step-by-step explanation:

it is increasing by 5 then 6,7,8,9...

Answer:

28

Step-by-step explanation:

Answer:

First, solve what is in the parentheses of the function. Next, solve the exponents. This includes normal exponents, negative exponents, square roots, cube roots, etc. After that, multiply and divide, and finally, add and subtract the remaining equation.

The stacked boxes would be 2.72 feet tall

The height of the stacked box is the sum of the lengths of the two boxes

1 4/11 is a mixed number and it has to be converted to a decimal

A mixed number is a number that has a whole number and a proper fraction.

A proper fraction is a fraction is which the numerator is less than the denominator.

The whole number is 1 and the proper fraction is 4/11

To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number

4/11 = 0.36

1 + 0.36 = 1.36 feet

Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet

To learn more about decimals, please check:

https://brainly.com/question/18657762?referrer=searchResults

Answer:

Each child will receive eight fifths of the cupcakes.

5x=8 ; x represents how many cupcakes each child receives.

[tex]\frac{8}{5}[/tex]

Step-by-step explanation:

There are 8 cupcakes in total.

5 children.

Divide 8 by 5. [tex]\frac{8}{5}[/tex]

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

18%

Step-by-step explanation:

I know this because i am a smoot person  l o l. Hope this helps!

Answer:

3y+x

Step-by-step explanation:

commutative property :

a+b=b+a

Similarly:

x+3y=3y+x

Answer:

[tex]we \: know \: that \: commutative \: \\ prop \: is \: x + y = y + x \\ so \: x + 3y = 3y + x \\ \\ thank \: you[/tex]

Answer:

Step-by-step explanation:

Given,

There are 3 girls for every 2 boys

So,

For every 1 girl

[tex] = \frac{2}{3} \: boys [/tex]

Therefore,

For every 21 girls,

[tex] = \frac{2}{3} \times 21 \: boys[/tex]

= 14 boys (Ans)

Answer:

1 1/6

Step-by-step explanation:

4 2/3 ÷ 4

Convert the mixed number into an improper fraction:

4 2/3 = 14/3

14/3 ÷ 4

14/3 ÷ 4/1

Use cdf (copy dot flip)

14/3 × 1/4

14 × 1 / 3 × 4

14/12

Convert improper fraction into a mixed number:

14/12 = 1 2/12

1 1/6

Answer:

Step-by-step explanation:

x = 1 + 3i

x^2 = (1 + 3i)(1 + 3i)

x^2 = 1 + 6i - 9 = -8 + 6i

By a similar method

y = (x - i)

y^2 = x^2 - 2i*x + i^2

y^2 = x^2 - 2ix - 1

y^2 = -8+6i - 2i(1 + 3i) -1

y^2 = -8+6i -2i - 6i - 1

y^2 = -8 - 2i - 1

y^2 = - 9 - 2i

x^2 - y^2 = -8 + 6i - (9 - 2i)

x^2 - y^2 = -8 + 6i - 9 + 2i

x^2 - y^2 = -17 + 8i

Answer:

5

Step-by-step explanation:

Dont ask why i think its 5 mph

Answer:

Line segment. (That's what I know)

Step-by-step explanation:

There are two points on the ends, so its a line segment. I think thats it

[tex]\boxed{\underline{\bf \: ANS WER}}[/tex]

[tex] \sf \frac{6}{x} = 18 \\ [/tex]

Variable x cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by x.

[tex] \sf \: 6=18x [/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex] \sf \: 18x=6 [/tex]

Divide both sides by 18.

[tex] \sf \: x=\frac{6}{18} \\ [/tex]

Reduce the fraction [tex] \sf\frac{6}{18}[/tex] to its lowest terms by extracting and cancelling out 6.

[tex] \sf \: x=\frac{1}{3} \\ [/tex]

[tex] \sf \: x=\frac{1}{3}\approx \boxed{\underline{0.33... }}\\ [/tex]

______

Hope it helps.

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