Samuel is running a 3-mile race. He would like to finish the race in under 33 minutes. He has already run for 10. 5 minutes. The inequality 10. 5 x < 33 represents the situation. Solve the inequality. How is the solution interpreted in the context of the problem? x < 22. 5; Sam has a maximum of 22. 5 minutes left to finish running. X < 22. 5; Sam has fewer than 22. 5 minutes left to finish running. X > 43. 5; Sam has at least 43. 5 minutes left to finish running. X < 43. 5; Sam has no more than 43. 5 minutes left to finish running.

Answer:

5/8

Step-by-step explanation:

1/4=2/8

2/8+3/8=5/8

Answer: 3.03 Miles, 20,000 yards, and 16,000 feet

Step-by-step explanation:

Not sure if my last answer was correct because I am not sure what you are trying to ask.

Using proportions, it is found that the expression that represents the current value of the artwork is given by:

A 1.4V

A proportion is a fraction of a total amount.

In this problem, the initial value was of V, which increased by 40%. Thus, the current value of V is 100% + 40% = 140% of the original, which is equivalent to a proportion of 1.4, that is: 1.4V.

Hence, option A represents the current value of the artwork.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

2×2cm, 1×4cm, 4×1cm are the ones that have sides that are whole numbers.

Answer:

  (i) y = 5/7x

  (ii) 7/3 m/s

Step-by-step explanation:

Shadow problems almost always involve similar triangles, meaning that shadow lengths and object heights generally have the same ratio. We can use this fact to write proportions related to the measures in this problem.

The ratio of shadow-tip distance to the object height is the same for both objects. For distances in meters, we have ...

  x/7 = (x-y)/2

  2x = 7(x -y) . . . . . multiply by 14

  7y = 5x . . . . . . . add 7y-2x

  y = 5/7x . . . . . divide by the coefficient of y

__

Solving the equation from the first part for x, we have ...

  x = 7/5y . . . . . multiply by 7/5

The derivative with respect to time is then ...

  x' = 7/5y'

The rate of change of y is given as 5/3 m/s, so the rate of change of x will be ...

  x' = (7/5)(5/3 m/s) = 7/3 m/s

The top of the man's shadow is moving at 7/3 meters per second.

Answer:

what do I do I’m new

Step-by-step explanation:

Answer:

y=9 and x=15

Step-by-step explanation:

ok looking at what they give us in the question we can see that we have two equations. to solve for it be will need to combine them together

note that because they use the word sum we know it's addition

y= x-6

x+y=24

now that we have these we can substitute y=x-6 for the y in our addition equaution such that we have it in terms of one variable:

x+ (x-6) = 24

2x-6=24

2x=30

x=15

now going back we can find Y

15+ y = 24

y=9

Answer:

-3/5

Step-by-step explanation:

I used the KCF, or keep, change, flip, method for this.

The original problem is -2/5 divided by -2/3

We keep the first fraction - -2/5

change the sign to multiplication

and flip the second fraction - 3/2

so, -2/5 x 3/2

and then check for where we can simplify, we can in this instance:

-1/5 x 3/1

and then multiply across

-3/5

Answer:

134

Step-by-step explanation:

938÷7=134

Answer:

b option is a correct answer

Answer:

Step-by-step explanation:

Sum of interior angles of a triangle is 180°.

Find the missing angle:

[tex]\small\bold\green{[Sum \: of \: interior \: angles \: of \: a \: triangle \: is \: 180°]}[/tex]

Lets , Find the missing angle :

↪ m∠A + m∠B + m∠C = 180°

↪ 33° +102° + m² = 180°

↪ 135° + m∠C = 180°

↪ m∠C = 180° - 135°

↪ m∠C = 45°

Answer:

A parallelogram is a four sided shape, so this means that the total sum of interior angles is equal to 360 degrees.

It also has two sets of matching angles, therfore if it says one is 155 degrees it must have one more that is also 155 degrees.

This means 2 x 155= 310, 360 - 310 = 50 degrees remaining. This 50 degrees would be shared between the remaining two angles as they must be a matching pair also. 50 / 2=25.

This parallelogram has two angles of 155 and two of 25. Degrees.

Answer:

a = 70°

b = 80°

Step-by-step explanation:

Angles on a straight line add up to 180°

⇒ a + 110 = 180

⇒ a = 180 - 110

⇒ a = 70°

The sum of the interior angles of a quadrilateral is 360°

⇒ a + b + 130 + 80 = 360

⇒ 70 + b + 130 + 80 = 360

⇒ b + 280 = 360

⇒ b = 360 - 280

⇒ b = 80°

Step-by-step explanation:

It is not a solution because the point falls outside the shaded region, if you were to plugin the point it would return a false statement

Answer:

1, 2, 4, 8, and 16

^^^Factors : )

Answer:

1,2,4,8,16 or 1*16, 2*8, and 4*4

Step-by-step explanation:

Answer:

the sum of all angles in triangle is equal to 180°

Step-by-step explanation:

1 = 2 = 3 = 4 = 90° (360° / 4)

9 = 180° - 21° - 90° = 69°

10 = 180° - 59° - 90° = 31°

5 = 59°

6 = 21°

7 = 9 = 69°

8 = 10 = 31°

Answer:

[tex]\frac{5a^4b^5}{9}[/tex]

Step-by-step explanation:

[tex]\frac{15a^1^6b^1^1}{(3a^4b^2)^3}[/tex]

[tex]=\frac{15a^1^6b^1^1}{27a^1^2b^6}[/tex]

[tex]=\frac{15a^4b^5}{27}[/tex]

[tex]=\frac{5a^4b^5}{9}[/tex]

Answer = [tex]=\frac{5a^4b^5}{9}[/tex]  

Answer:

It is Right angle triangle.

Also it shows 90 degree angle at E.

I think it will help you.

Answer:

f(x)=-5x+1x=−5x+1, find f(6)

f(6)= -5(6)+1(6)=-5(6)+1

F(6)=-24,-29

Answer:

1 x 1/2 = 1/2

1/2 x 1/2 = 1/4

1/2 x 1/2 = 1/4

Step-by-step explanation:

Step-by-step explanation:

3/4 if the actual length of the shorter segment is 120 ft.

what do I need to multiply 3/4 with to get 1/1 ?

3/4 × x = 1

3 × x = 4

x = 4/3

you feel the aha moment ?

so, when I multiply 120 ft by 4/3 I reverse the "distraction" of showing me only 3/4 of the real thing, and I get the full length of the shorter segment.

120 × 4/3 = 40 × 4 = 160 ft.

and now we know the longer segment is 12 ft longer.

so, it is

160 + 12 = 172 ft long.

so, the equation we just solved was

y = 4/3 × x + 12

with y being the length of long piece, x being the distorted (by factor 3/4) length of the short piece. and 12 is the overall difference between them.

Answer:

it is so hard it's optional math bro I tried much

Step-by-step explanation:

hope others can give answers

Answer:

34 degrees

Step-by-step explanation:

sin(x) = opp/hyp = 9/16

So, x = 34.22 degrees

After rounding to the nearest degree, x = 34 degrees

Answer:

cat's price = $15

dog's price = $25

Answer:

[tex]\sf z = -16.35[/tex]

formula:

[tex]\sf z = \dfrac{s-p}{\sqrt{\dfrac{p(1-p)}{n} } }[/tex]

Here s = 0.3, p = 0.5, n = 1671

solve:

[tex]\rightarrow \sf z = \dfrac{0.30-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1671} } }[/tex]

[tex]\rightarrow \sf z = \dfrac{-0.2}{\sqrt{\dfrac{0.25}{1671} } }[/tex]

[tex]\rightarrow \sf z = -16.35[/tex]

Answer:

2x+4 or 2(x+2)

Step-by-step explanation:

I'm not very confident that I can give you a clear explanation while typing, but you can factor the equation which is one way how to do this.

2x^2 + 10x+12 = 2(x^2+5x+6)

                       = 2(x(x+3) + 2(x+3))

                       = 2(x+3)(x+2)

With that answer, you divide it by x+3 and get 2(x+2) or 2x+4

Answer:

Whole numbers less than or equal to 400

Step-by-step explanation:

i took the test