Question
Solve the real-world situation by using the substitution method.
Jen is riding her bicycle on a trail at the rate of 0.33 kilometer per minute. Michelle is 8
kilometers behind Jen when she starts traveling on the same trail at a rate of 0.43 kilometer
per minute. Let d represent the distance in kilometers the bicyclists are from the start of
the trail and t represent the time in minutes.
The system of equations
d = 0.33t + 8
d = 0.43t
can be used to represent this situation.
р.
How many minutes will it take Michelle to catch up to Jen? How far will they be from the
start of the trail? Use the substitution method to solve this real-world application.
Michelle will catch up to Jen in
of the trail.
minutes and they will be
km from the start

Answers

Answer 1

9514 1404 393

Answer:

80 minutes34.4 km

Step-by-step explanation:

Use the second equation to substitute for d in the first equation.

  0.43t = 0.33t +8

Subtract 0.33t from both sides

  0.10t = 8

Multiply by 10

  t = 80 . . . . . . Michelle will catch Jen in 80 minutes

The distance traveled will be ...

  d = 0.43t = 0.43×80 = 34.4 . . . . km

The girls will have traveled 34.4 km when they meet.


Related Questions

1. Are the triangles similar?

2. If so, complete this statement:

△TRS ~ △ [QPM, QMP, PMQ]

by SSS, AA, SAS [choose one]

Answers

Answer:

YES BY SAS

Step-by-step explanation:

20/16=5/4

25/20=5/4

Yes they are similar!

Calculate angle y
Can somebody work this out?

Answers

Answer:

y = 110

Step-by-step explanation:

ABCD is a cyclic quadrilateral ( its vertices are on the circle )

The opposite angles are supplementary, sum to 180° , then

∠ C = 180° - 70° = 110° , thus

y = 110

what is that area of the trapezoid

a)50in

b)108in

c)126in

b192in

Answers

Answer:

c) 126 inches of the answer

Answer:

C. 126 inches²

Step-by-step explanation:

To find the area of a trapezoid multiply the sum of the two bases (12 + 16) and the height divide by 2 (9 / 2) by each other

(12 + 16)9/2

Add 12 and 16 to get 28.

28(9/2)

Multiply 28 by 9 to get 252.

252/2

Divide 252 by 2 to get 126.

The area of the trapezoid is 126 inches².

Jenny used 15 centimeters of tape to wrap 5 presents. How much tape will Jenny need in all if she has to wrap 10 presents? Assume the relationship is directly proportional.

Answers

Answer:

30

Step-by-step explanation:

15cm for 5

5 x 2=10

15 x 2 = 30

Jake bought 3 drawing pens for $8.07. Each pen costs the same amount. About how much did he spend for one pen? * 2 points

Answers

Given:

Jake bought 3 drawing pens for $8.07.

Each pen costs the same amount.

To find:

How much did he spend for one pen?

Solution:

Let x be the cost of each pen. Then

Cost of three pens = 3x

Jake bought 3 drawing pens for $8.07.

[tex]3x=8.07[/tex]

Divide both sides by 3.

[tex]x=\dfrac{8.07}{3}[/tex]

[tex]x=2.69[/tex]

Therefore, he spend $2.69 for one pen.

How many two-dimensional objects does the
object shown above have?
A. 3
B. 4
C. 8
O D. 5

Answers

Answer:

d

Step-by-step explanation:

Please answer quick I will give brainliest to the first answer Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work

Answers

the base is 20 ft so the triangular base is 69 feet.

c/- 4 = 16
please help

Answers

C=-64


Multiple the equation by -4

Marie has a box that contains only red and blue marbles in a ratio of 5:45. What percent of the marbles in the box were red?

Answers

Answer:

10 percent

Step-by-step explanation:

t=ratio

5x:45x

total=45x+5x=50x

5x/50x=1/10=10 percent

10 percent
45/5= 9
10-9=1
1=10 percent

75% of b is 11 what is b

Answers

Answer:

14.67

Step-by-step explanation:

14.67 because you take 100 times 11 to get 1100. Then you divide 1100 by 75 to get the answer

Mr Jones buys a new car for £14 995. By the end of the year the value of the car has gone down by 40%. How much is the car now worth?

Answers

Answer:

£8997

Step-by-step explanation:

Given data

Mr Jones buys a new car for £14 995

let us find the value of 40% of  £14 995

=40/100* £14 995

= 0.4* £14 995

= £5998

Hence the car will cost

=£14 995- £5998

=£8997

If you have a jumbo pack of gum and 4 friends ask for 8 How much gum do you have left?

(random questions)

Answers

Answer:

5

Step-by-step explanation:

37 - 4(8)

37 - 32

5

Hope this helps! May I please have brainliest? :)

Answer:

solution given:

total pack of gum=x gums

If 4 friends ask for 8=8×4gum= 32gums

Remaining gums=x-32gums

PLEASEE I WANNA PASS PLEASE HELP!!!!
Which of the following functions represents f(n), the number of small squares in figure n?

A. f(n) = (n + 1)^2 – 1

B. f(n) = 2n^2 + 1

C. f(n) = n^2 – 1

D. f(n) = (n + 1)^2 + 1

Answers

I think it is b I’m not sure

Answer: i think its D or A....  :)

Step-by-step explanation:

Marie can make \frac{1}{8} 8 1 ​ quart of orange juice in \frac{3}{4} 4 3 ​ of a minute by squeezing oranges. At this rate, how much juice can she make in 1 minute?

Answers

Answer:

[tex]\frac{1}{6}\ juice[/tex]

Step-by-step explanation:

The computation is shown below:

Since [tex]\frac{1}{8}[/tex] quart of juice would be make in [tex]\frac{3}{4}[/tex] minutes

So for one minute, the juice would be make

[tex]\frac{4}{3}\times \frac{3}{4} \ minute= \frac{4}{3} \times \frac{1}{8} \ juice\\\\1\ minute= \frac{1}{6}\ juice[/tex]

hence, the same would be considered and relevant too

If there are 60 sides, what is the difference between the perimeter and π?

Answers

You can sole it because I believe in you

help pls no rip me off for points

Answers

Answer:

B.

Step-by-step explanation:

4*s = 4s

4*3 = 12

Use the property of distribution

hope this helps :)

Answer: 4 (s + 3)

Step-by-step explanation:

Suppose you are facing north, each time you turn, you are going to turn 90 degrees. If you turn 2 times to the right, 1 time to the left, 3 times to the right, 2 times to the right, and 1 time to the left, which way are you now facing?

Answers

Answer:

East

Step-by-step explanation:

Starting position = North

Condition = each time you turn, you are going to turn 90 degrees

Using the image attached as a guide;

If you turn 2 times to the right

- Turning the first time to the right changes the direction to East

- Turning the second time to the right changes the direction to South

1 time to the left

- Turning once to the left changes the direction to East

3 times to the right

- Turning the first time to the right changes the direction to South

- Turning the second time to the right changes the direction to West

- Turning the second time to the right changes the direction to North

2 times to the right

- Turning the first time to the right changes the direction to East

- Turning the second time to the right changes the direction to South

1 time to the left

- Turning once to the left changes the direction to East

To pass inspection, a new basketball should bounce back to between 68% and 75% of the starting height. A new ball is dropped from 6 feet and bounces back 4 feet 1 inch. does the ball pass inspection? Explain

To pass inspection, the ball must bounce back to between 68% and 75% of the starting height. written as a decimal, the ball must bounce between a low of __ feet and height of __ feet.

Answers

Answer: Yes, it does. It must bounce of a low of 4.08 feet and a high of 4.5 feet

Step-by-step explanation:

I need Help can someone please help me with this. Write an equation of a function with each domain: A. [2, [infinity]) B. (-[infinity], [infinity]) C. (2, [infinity])

Answers

Step-by-step explanation:

A.

[tex]f(x) = \sqrt{x - 2} [/tex]

B.

[tex]g(x) = 2x [/tex]

C.

[tex]h(x) = \frac{1}{x - 2 \: } \: \: \: \: h(x) = x where x is greater than zero

-2(x+1)+4x<-10 what’s the solution

Answers

answer is -3 i THINK

Equation/Question:

-2(x+1)+4x<-10 What’s the solution?

Answer/Way I did it:

1. Expand.

-2x-2+4x<-10

2. Simplify  -2x-2+4x to  2x-2.

2x-2<-10

3. Add 2 to both sides.

2x<-10+2

4. Simplify  -10+2 to −8.

2x<-8

5. Divide both sides by 2.

x<-8/2

6. Simplify  8/2 to  4.

x<−4

Done by NeighborhoodDealer


A bag holds 2 red and 7 blue marbles. What is the probability of the complement of randomly selecting a red marble? Please help asap

Answers

Answer:

I'll help the best I can lol

Step-by-step explanation:

You have a 2 in 9 chance randomly selecting a red marble, so your probability of selecting one in the first place.

2/9 chance is 81.8% impaled probability.

If a spinach pie is cut into 10 equal pieces, then what is one piece
written as a fraction and as a decimal

Answers

Answer:

If a spinach pie is cut into 10 equal pieces, the fraction form of it is 1/10 and the decimal form is 0.1

Step-by-step explanation:

10 pieces

10/10 total

1 slice: 1/10

1 = whole pie

split into 10 equal peices =

0.1

A triangle is cut out of a square whose length is 12 feet. What will be the approximate area, in square feet, of the remaining board?

Answers

Answer:

72ft²

Step-by-step explanation:

A = ½ (12*12)

A = ½ * 144

A = 72ft²

Which of the following options have the same value as 25%, percent of 64?
Choose 2 answers:

(Choice A)
A
25 6425⋅6425, dot, 64

(Choice B)
B
\dfrac{25}{100}\cdot 64
100
25

⋅64start fraction, 25, divided by, 100, end fraction, dot, 64

(Choice C)
C
0.25\cdot 640.25⋅640, point, 25, dot, 64

(Choice D)
D
64\div \dfrac{25}{100}64÷
100
25

64, divided by, start fraction, 25, divided by, 100, end fraction

(Choice E)
E
25\div \dfrac{64}{100}25÷
100
64

Answers

Answer: 96/100⋅25 and 0.96⋅25

Step-by-step explanation: i did it on khan academy :D

Answer:

choice A

choice c

Step-by-step explanation:

HELP!!

If we changed the -3 to a 3 in the equation, what would happen to the graph?

Answers

Answer:

It would change the y-intercept, so if it turned into a 3, the slope would just go higher at the beginning.

Step-by-step explanation:

Hope it helps!

The graph of the new equation y = 2ˣ⁻⁴ + 3 will have the same shape as the original graph, but it will be shifted 4 units to the right and 3 units up.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The equation y = 2ˣ⁻⁴ - 3 is an exponential function that has been shifted 4 units to the right and 3 units down from the basic exponential function y = 2ˣ.

If we change the -3 to a 3, we get the new equation:

y = 2ˣ⁻⁴ + 3

This new equation represents the original exponential function shifted 4 units to the right and 3 units up.

Therefore, the graph of the new equation y = 2ˣ⁻⁴ + 3 will have the same shape as the original graph, but it will be shifted 4 units to the right and 3 units up.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

24.5 is 33 1/3% of what number?

Answers

Answer: 73.5

Step-by-step explanation:

The percent 33 1/3% represents 1/3 of 100%. We can multiply 33 1/3% by 3 and get 100%. We need to find what 24.5 is 33 1/3% of.

Since 1/3 x 3 = 100%, then 24.5 x 3 must equal the number we're trying to find.

24.5 x 3 = 73.5.

Therefore, 24.5 is 33 1/3% of 73.5. I hope this helps, and good luck!

Workout 2/7+1/5 and then simplyfy it

Answers

Answer:17/35

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/7, 1/5) = 35

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(2/7x5/5)+(1/5x7/7)=?

Complete the multiplication and the equation becomes

10/35+7/35=?

The two fractions now have like denominators so you can add the numerators.

Then:10+7

         ——- =17/35

            3

This fraction cannot be reduced.

Therefore:2/7+1/5=17/35

6-(y-2) What is the answer?

Answers

Answer:

-y+8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

6-y+2=0

8-x=0

-x=-8

x=8

24-10x=9
What does x equal to?

Answers

X=1.5 also report other dude he put anything

find the slope of the line that goes through (-4,2) and (3,-5)

Answers

Answer:

-1

Step-by-step explanation:

m = -7 / 7 = -1 / 1 = -1

Answer:

-1

Step-by-step explanation:

To find the slope given two points, use the formula: [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]. In this case, the formula would be: [tex]\frac{-5-2}{3-(-4)}[/tex]. Solve the top first: -7. Solve the bottom next: 7. So your answer is: [tex]\frac{-7}{7}[/tex] or -1.

Hope it helps!

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