Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.
HELPP

Answers

Answer 1

Given:

Speed of Timmy = 5 miles per hour

Speed of sam = 4 miles per hour and head start of 2 miles

To find:

Where Timmy and Sam will  meet.

Solution:

Let x be the number hours they ran in marathon and y be the total distance covered.

Speed of Timmy is 5 miles per hour. So, total distance covered by Timmy in x hours is

[tex]y=5x[/tex]       ...(i)

Speed of sam is 4 miles per hour and head start of 2 miles. So, total distance covered by sam in x hours is

[tex]y=4x+2[/tex]    ...(ii)

Now, equate (i) and (ii).

[tex]5x=4x+2[/tex]

[tex]5x-4x=2[/tex]

[tex]x=2[/tex]

The value of x is 2. It means they will meet after 2 hours.

Put x=2 in (i).

[tex]y=5(2)[/tex]

[tex]y=10[/tex]

It means, they will meet at 10 miles.


Related Questions

what's the slope intercept form​

Answers

y=-1/4x+3 should be the correct answer

loren wants to buy a golf club that is $98 today it is on sale for 25% off how much is the discount and what is the sale price

Answers

98 x .25 = discount so 24.5
then 98 - 24.5 = 73.5 for sale

The discount is $24.5 and Sale Price is $122.5.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

loren wants to buy a golf club that is $98.

Sale= 25% off

So, the discount is

= 98 x 25/100

= 98 x 1/4

= $ 24.5

and, the Sale Price is

= 98 + 24.5

= $122.5.

Learn more about Percentage here:

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x^2 − 15 = 1 please help

Answers

Answer:

x^2-15=1

x^2=16

4 x 4 = 16

THerefore...

x=4

Depending on how many choices there are -4 is also correct.

Any number squared is a positive.

x=4, x=-4

Step-by-step explanation:

solve 5x + 20=75
What is x

Answers

Answer:

x = 11

Step-by-step explanation:

this answer can be solved by simple operations

5x + 20 = 75

5x = 55 (subtracted the 20 from 75)

x = 11 (divided the 5 by 55)

hope this helps !!

- emily

Mr Johnson has 4 boxes of pencils with 7 pencils
in each box. If he gives each of his 26 students a
pencil, how many pencils will he have left?

Answers

Answer:

2 pencils leftover

Step-by-step explanation:

Given:

4 boxes with 7 pencils each

Number of students:

26

Total Pencils

4*7 = 28

He has 28 pencils in total.

Unknown:

Number of extra pencils

Unknown = total pencils - total students

= 28 - 26 = 2

Answer  = 2 pencils leftover

Hope this helped,

Kavitha Banarjee

Solve 1/2x−5=10−3/4x . Check your solution.

x=___

Answers

Answer

The answer is 12 for sure

Step-by-step explanation:

i just solved it like any other equation

1 i added 3/4 on both sides

2 then i added 5 on both sides

3 after you equation should look like 1 1/4x = 15

4 then i divided and it should be x = 12

pls mark brainliest

The value of x is "12".

Calculating the value of x:

[tex]\to \frac{1}{2}x-5=10-\frac{3}{4}x \\\\\to \frac{1}{2}x+ \frac{3}{4}x=10+5 \\\\\to \frac{2+3}{4}x=15 \\\\\to \frac{5}{4}x=15 \\\\\to x=15 \times \frac{4}{5}\\\\\to x=3 \times 4\\\\\to x=12[/tex]

Therefore, the final value of x is "12".

Find more information about the x value here:

brainly.com/question/19793439

What is the result of adding these two equations?
4x-4y=-2
-9x-4y=-3

Answers

(4x-4y) + (-9x-4y) = -2 + -3
gather like terms :
4x-9x-4y-4y = -5
-5x-8y = -5

Find the 13th term of the geometric sequence 7, 21, 63, ...

Answers

Answer:3,720,087

Step-by-step explanation: sorry if I’m wrong

What do static electricity and current electricity have in common.

Answers

Answer: Static electricity is uncontrolled electrons passing from one body to another in sudden, momentary movements, while current electricity is when the electrons are controlled by moving along a path together.

HAVE A BLESSED DAY!!!!

a number b divided by -3 is greater than or equal to 6

Answers

b ≤ −18 or (−∞, −18)

A cab company charges $3.10 flat rate in addition to $0.85 per mile. Rex has no more than $15 to spend on a ride. Write an inequality that represents Rex's situation. How many miles can Rex travel without exceeding his limit? Round off your answer to nearest tenth.

Answers

Answer:

Step-by-step explanation:

Let the total number of miles Rex can travel be x;

If a cab company charges $0.85 per mile, then x miles will cost $0.85x

If the flat rate rate charge is $3.10, the total price for x miles will be;

0.85x + 3.10

Since Rex has no more than $15 to spend on a ride, the inequality to represent the equation will be;

0.85x + 3.10 ≤ 15 (less than or equal to means that the total value cannot exceed $15)

Next is to solve for x

Given

0.85x + 3.10 ≤ 15

subtract 3.10 from both sides

0.85x + 3.10-3.10 ≤ 15-3.10

0.85x ≤ 15-3.10

0.85x ≤ 11.90

x ≤  11.90/0.85

x ≤ 14

This means that Rex can travel 14 miles without exceeding his limit

Answer:

[tex]3.10 + 0.85m \leq 15[/tex]

[tex]m \leq 14.0[/tex]

Step-by-step explanation:

Given

[tex]Flat\ Rate = \$3.10[/tex]

[tex]Addition = \$0.85[/tex] (per mile)

[tex]Maximum\ Amount = \$15[/tex]

Required

Determine the inequality that represents the scenario and solve

Let the number of miles be represented by m.

The company's charges can be calculated using:

[tex]Flat\ Rate + Additional\ Charges * m[/tex]

Substitute values

[tex]\$3.10 + \$0.85 * m[/tex]

Rex can't exceed $15 implies that the company's charges can't exceed Rex's budget.

This is expressed as:

[tex]\$3.10 + \$0.85 * m \leq \$15[/tex]

[tex]\$3.10 + \$0.85m \leq \$15[/tex]

[tex]3.10 + 0.85m \leq 15[/tex] ---- The inequality

Solving for m: Collect Like Terms

[tex]0.85m \leq 15 - 3.10[/tex]

[tex]0.85m \leq 11.9[/tex]

Divide through by 0.85

[tex]m \leq 11.9/0.85[/tex]

[tex]m \leq 14.0[/tex] ---- The solution

Please help thank you

Answers

Answer:

Step-by-step explanation:

A: quotient  

B: dividend

C: divider

When translating the point (5,0) 6 units up and 4 units to the right, we should get:

Answers

Answer:

(9,6)

Step-by-step explanation:

"Up" indicates y-axis. "Right" is horizontal motion, so x-axis. We add positive 6 to the y-value and positive 4 (since it's going to the right) to the x-value.

Hope this helps!

A biker cycles 9 miles in 2 3 of an hour. b The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)

Answers

Answer:

27/2

Step-by-step explanation:

Hope this helps! Also dont add comments to get gems like bruh ;-;

Answer: 27/2

Step-by-step explanation:

[tex]9\cdot \:1=x\frac{2}{3}[/tex]

[tex]x\frac{2}{3}=9\cdot \:1[/tex]

[tex]x\frac{2}{3}=9[/tex]

[tex]3x\frac{2}{3}=9\cdot \:3[/tex]

2x= 27

x= 27/2

Add Me Brainliest!

Which values represent solutions to the equation?
Tan(3Pi/4-2x)=-1, where x = [0,pi]

Answers

0 is the a answer definately

The value of the variable x will be {0, pi/2, pi}. Then the correct option is B.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

tan (3π/4 - 2x) = - 1

We know that the value of tan 3π / 3 is negative one. Then the equation will be

tan (3π/4 - 2x) = tan 3π/4

Apply inverse of tangent on both sides, then the equation will be

(3π/4 - 2x) = 3π/4, -π / 4

         - 2x = 0, -π

           2x = 0, π

             x = 0, π/2

Then the value of the variable x will be {0, pi/2, pi}.

Then the correct option is B.

The question was incomplete, but the complete question is given below.

Which values represent solutions to the equation? tan(3pi/4 - 2x) = -1, where x ∈ [0,pi]

A) {0, pi}

B) {0, pi/2, pi}

C) {0, pi, 2pi}

D) {0, pi/2, pi ⋅ 3pi/2}

More about the trigonometry link is given below.

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Which statements are true about the solution of 15 > 22+ x? Select three options.
OX-7
XS-7
The graph has a closed circle.
U -6 is part of the solution.
O-7 is part of the solution.

Answers

Answer:

[tex]x \leqslant - 7 \\ the \: graph \: has \: a \: closed \: circle \\ - 7 \: is \: a \: part \: of \: the \: solution[/tex]

PLEASEEEEEE HELPPPPP ASAPPPP

Answers

The correct answer is f(x)= 25z + 400

At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?

Answers

Answer:

52 young calves

Step-by-step explanation:

At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?

The ration is given as:

adult milking cows to young calves

= 9 : 2

= 234 : x

= 9/2 = 234/x

x = Number of young calves

Cross Multiply

9 × x = 2 × 234

= x = 2 × 234/9

x = 468/9

x = 52

Hence, the number of young calves on the farm is 52.

4. What is the slope of a line that is parallel to the line described by 3x + 2y = 8?
a.
m = 3
b.
m= 3/2
c.
m= -3/2
d.
m= 2

Answers

The answer is :

B. M=3/2

will give BRAINLIEST

Find the area of each circle
. Round to the nearest tenth.

Answers

Answer:

13:  312yd squared

14: 907.5 rounded up but not rounded is 907.46

Step-by-step explanation:

this is because the formula is pi*r^2  so you'd

Step by step:

1. 20yd/2= 10 to get the radius for 13

2. substitute r in the formula pi*r^2 for 10 making it pi*10^2

3. multiply 10 by itself, 10*10=100

4. multiply pi by 100, 3.14*100= 314

314yd^2 is the answer for 13

14:

1. 34ft/2=17 to get the radius for 14

2. substitute r on the formula pi*r^2 for 17 making it pi*17^2

3. multiply 17 by itself, 17*17=289

4. multiply pi by 289, 3.14*289=907.46

5. round 907.46 to the nearest tenth, 907.5

907.5ft^2 is your answer

hope this helps :)

Given: F=(0,1),(2,4),(4,6),(6,8) and g=(2,5),(4,7),(5,8),(6,9),(7,5) (fxg)(2)

Answers

Answer:

(F-G)(x) = -1

Step-by-step explanation:

The notation (F - G)(x) means to subtract each function when x = 6. According to the sets when x = 6 then F is (6,8) and G is (6,9). To subtract the functions, subtract their output values. (F-G)(x) = 8 - 9 = -1.

Step-by-step explanation:

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[tex]f \times g = (2 \: , \:4 \times 5) \: , \: (4 \: , \: 6 \times 7) \: , \: (6 \: , \: 8 \times 9) \\ [/tex]

[tex]f \times g = (2 \: , \: 20) \: , \: (4 \: , \: 42) \: , \: (6 \: , \: 72) \\ [/tex]

_________________________________

Thus ;

[tex](f \times g)(2) = 20[/tex]

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2.5(a + 4) + 0.5a = 12.4

Answers

Answer:

a=0.8

Step-by-step explanation:

First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.

Hope this helps you :)

Your Point
Here is your ordered pair plotted as a point, together
with the linear equation 2
(If you can't see your point, maybe you didn't type it
correctly, or maybe it's outside the graph window.)
Is your ordered pair correct? How do you know?
Yes
NO
a Explain your thinking
Submit

Answers

Answer:

I know my ordered pair is correct because it's on the line.

Yes, the ordered pairs are accurate as estimated by our theoretical calculations.

What is the graph?

A graph, which is a mathematical representation of a network, describes the relationship between lines and points. A graph is made up of a few points and the arcs that connect them. Neither the location of the points nor the length of the lines matters.

Given that, the equation of a line is y=x+2.

Substitute x=0, 1, 2, 3, 4, 5 and 6 in the equation y=x+2, we get

y = 2, 3, 4, 5, 6, and so on.

So, the coordinate points are (0, 2), (1, 3), (2, 4), (3, 5) and (4, 6).

In the obtained graph, we got the points (0, 2), (1, 3) and (2, 4), they are accurate as we calculated.

Yes, the ordered pairs are accurate as estimated by our theoretical calculations.

To learn more about the graph visit:

brainly.com/question/14375099.

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"Your question is incomplete, probably the complete question/missing part is:"

Here is your ordered pair plotted as a point, together with the linear equation y=x+2

(If you can't see your point, maybe you didn't type it

correctly, or maybe it's outside the graph window.)

Is your ordered pair correct? How do you know?

Confused on the steps and I need help

Answers

9514 1404 393

Answer:

  3) y = -1

  5) x = -14

Step-by-step explanation:

The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.

__

3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:

  y = -1

__

5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:

  x = -14

1. 165.45 ÷ 1000 =
2. 762.78 ÷ 100 =
3. 76.94 ÷ 10 =
4. 14352.89 ÷ 1000=
5. 12.30 ÷ 10 =

Answers

1. 0.1654
2. 7.6278
3. 7.694
4. 14.35289
5. 1.230

Answer:

1. 0.16545

2. 7.6278

3. 7.694

4. 14.35289

5. 1.23

Step-by-step explanation:

Just divide.

Which equation would you use to find the value of x?

Answers

Answer:

The answer is C. (4x+12)+8x=180

Answer:

C

Step-by-step explanation:

alt. interior angles are congruent, so don't worry about y

also, because of alt. int. angles, we know that (4x+12)+8x=180

we can solve it by grouping like terms to get x=14

find the gif of the terms of the polynomial. 52x^8 + 12x^3

Answers

Answer:

The GCF of the terms of the polynomial 52x^8 + 12x^3 is 4x^3.

Step-by-step explanation:

Given f(x) = 9(2 - x), what is the value of f(-3)?

Answers

Answer:
f(-3)=45

Explanation:
To find f(-3), we plug in -3 as x.

f(x)=9(2-x)
f(-3)=9(2-(-3))
f(-3)=9(2+3)
f(-3)=9(5)
f(-3)=45

I hope this helps!

Answer:

Step-by-step explanation: find the exact value by using trigomectric identities

Estimate the difference.
6.11 - 1.2

Answers

Answer:

5.9

Step-by-step explanation:

Answer:

it is 5.9

Step-by-step explanation:

1. The circle C has centre (5,k), where k is a constant. The line y = 2x + 1 is tangent to C at point
A (3,7). Find the equation of C.

Answers

Answer:

[tex](x-5)^2+(y-6)^2=5[/tex]

Step-by-step explanation:

Equation of the Circle

A circle centered at (h,k) and radius r can be written with the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We are given the center (5,k), thus:

[tex](x-5)^2+(y-k)^2=r^2[/tex]

We know the point (3,7) belongs to the circle. This means the distance between the center and this point is the radius.

Given two points (x1,y1) and (x2,y2), the distance between them satisfies:

[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Calculating the radius, we have:

[tex]r^2=(7-k)^2+(3-5)^2[/tex]

[tex]r^2=(7-k)^2+4\qquad\qquad [1][/tex]

Now we use the fact that the line y=2x+1 and the circle are tangent at (3,7). The radius and the line are perpendicular at that point. Two perpendicular lines with slopes m1 and m2 satisfy the condition:

[tex]m_1\cdot m_2=-1[/tex]

The line y=2x+1 has a slope of m1=2, thus the slope of the segment from (5,k) to (3,7) has a slope of -1/2:

The slope is calculated as:

[tex]\displaystyle \frac{7-k}{3-5}=-\frac{1}{2}[/tex]

Operating:

[tex]\displaystyle \frac{7-k}{-2}=-\frac{1}{2}[/tex]

Multiplying by -2

[tex]\displaystyle 7-k=1[/tex]

Solving:

k=6

From [1] the radius is:

[tex]r^2=(7-6)^2+4[/tex]

[tex]r^2=1+4[/tex]

[tex]r^2=5[/tex]

Finally, substituting into the equation of the circle:

[tex]\mathbf{(x-5)^2+(y-6)^2=5}[/tex]

The graph can be seen in the figure below.

Answer:

Step-by-step explanation:

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