There are 2 friends chasing one another. They are 80
feet apart. Caroline is chasing after Sam. Sam runs at
a speed of 22 feet per second and Caroline runs at a
speed of 31 feet per second. How many seconds will it
take for Caroline to catch Sam?

Answers

Answer 1

Answer:

8.9 seconds

Step-by-step explanation:

When caroline catches sam after some time lets say t

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart.

Given

Let the time taken by Caroline to catch sam is t seconds

distance covered by Caroline in t seconds = speed of caroline*t

distance covered by Caroline in t seconds = 31  * t

distance covered by Caroline in t seconds = 31t feet

distance covered by sam in t seconds = speed of sam*t

distance covered by sam in t seconds = 22  * t

distance covered by sam in t seconds = 22t feet

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart and caroline catches her in t seconds

thus,

distance covered by Caroline in t seconds  = distance covered by sam in t seconds  + 80 feet

31t = 22t + 80

subtracting 22t from both sides

=> 31t - 22 t = 80

=> 9t = 80

=>t = 80/9 = 8.9 seconds

Thus,

it will take 8.9 seconds for Caroline to catch Sam


Related Questions

The price of gas rose from $2.40 per gallon in January to
$3.00 per gallon in April. What was the percent increase
based on the original price?
A. 20%
B. 25%
C. 60%
D. 80%

Answers

Answer:

Step-by-step explanation:

The answer is 25%

25% of 2.40= 0.6 3.00-0.6= 2.4 just ad a 0 so 2.40

Answer is 25%

Which of these values could be the slope of the line? Select 2 options.
-2
-8/5
0
7/4
3

Answers

Answer:

7/4 and 3

Step-by-step explanation:

correct on edge 2020

Answer: 7/4 & 3

Step-by-step explanation:

-4/5 + 33/10 Write your answer as a mixed number in simplest form.

Answers

Answer:

2 1/2

Step-by-step explanation:

−45+3310=?

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

LCD(-4/5, 33/10) = 10

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.

(−45×22)+(33/10×11)=?

Complete the multiplication and the equation becomes

−8/10+33/10=?

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

Then:

−8+33/10=25/10

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 25 and 10 using

GCF(25,10) = 5

25÷5/10÷5=5/2

The fraction

52

is the same as

5÷2

Convert to a mixed number using

long division for 5 ÷ 2 = 2R1, so

52=212

Therefore:

−4/5+33/10= 2 1/2

Ok help me?? Uhhhhhhhhhhhh

Answers

Answer:with?

Step-by-step explanation:

eh what is 2(h + 1) =5h - 7​

Answers

Answer:

h=3

Step-by-step explanation:

-5 2/3 - 1/6 please help

Answers

Answer:

-5 5/6

Step-by-step explanation:

I just used my calculator.

ANSWER:
-5 5/6
EXPLANATION:
i used my calculator hehe

The 150 Grade 7 students participated in school's Math Olympics. 64 students registered in Math Trail , 78 students registered in Amazing Race and 28 students registered in both Math Trail and Amazing Race. How many students registered in Math Trail only and in Amazing Race only? Are there students who did not registered in both events, how many?​

Answers

Answer:

Number of students registered in Math trail only and in Amazing Race only is 86.

Number of students who did not registered in both events = 36

Step-by-step explanation:

There are 150 students totally.

64 students registered in Math trail.

78 registered in Amazing race.

28 registered in both Math trail and Amazing Race.

We can make Venn diagram for this and answer the question.

I've attached the Venn diagram.

Using the diagram,

Number of students registered in Math trial only and in Amazing race only is 36+50= 86.

Number of students who did not registered in both events = (150-(36+28+50))=36


Suppose a group of dancers performed the Round Dance at an Indigenous Peoples' Day
celebration. If the circumference of the circle was 44 feet, what was the diameter of the circle?

Answers

Answer:

4.27 meters

Step-by-step explanation:

What are the 4 major types of special Angle Pairs formed by Parallel Lines and Transversals? 20 points Vertical Angles, Angle Bisectors, Linear Pairs, Perpendicular Bisectors Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior Straight, Acute, Obtuse, Right Adjacent Angles, Supplementary Angles, Complementary Angles, Opposite Angles

Answers

Answer:

Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior

Step-by-step explanation:

When a transversal cuts across two parallel lines, there are 4 major types of special angles that are formed as shown in the attachment below. They are:

1. Alternate interior angle pairs are angles that are positioned inside the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.

In the figure attached below, the alternate exterior angle pairs are labelled:

<3 and <6;

<4 and 5

2. Corresponding angles: these are angle pairs that are lie in the same position of the transversal, one interior, and the other exterior to a parallel lines respectively.

In the figure attached below: the following are corresponding angles pairs:

<1 and <5;

<2 and 6;

<3 and <7;

<4 and <8

3. Consecutive Interior angle pairs: these are angles that lie in the same side of the transversal and also found opposite each other within the parallel lines.

They are labelled:

<3 and <5;

<4 and <6

4. Alternate exterior angle pairs are angles that are positioned outside of the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.

They are labelled:

<1 and <8;

<2 and <7;

Please help!! ASAP!! Math Help!k

Answers

[tex]f(x) = 4x^3 + Ax^2 + 2x - 5[/tex]

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

[tex]5 = 4 \cdot 2^3 + A \cdot 2^2 + 2 \cdot 2 - 5\\5 = 4 \cdot 8 + 4A + 4 - 5\\5 = 32 + 4A + 4 - 5\\5 - 32 - 4 + 5 = 4A\\-26 = 4A\\A = \frac{-26}{4} = -\frac{13}{2} = -6.5[/tex]

Lines a and b are perpendicular. The slope of the line is given. What is the slope of line b?
3/4

Answers

Answer:

-4/3

Step-by-step explanation:

If the slope of line a is 3/4, then the slope of line b will be -4/3.

Triangle PQR has vertices P(0, 0), Q(3, 4), and R(3, 0). If triangle PQR is rotated 180° about the origin, what is the length of side P'Q'?

Answers

Answer:

The length of P'Q' is 4 units

The length of P'R' is 3 units

Step-by-step explanation:

If you rotate the figure 180° then the vertex would be R, and from P to Q is 3 units left and 4 units down

FIRST ANSWER GETS BRAINLIEST! PLEASE HURRY!

The area of a rectangle is 45 square units. The length is 15 units and the width is z units.

Area = length x width

What is the value of z?

Answers

Answer:

z = 3 units

Step-by-step explanation:

45 ÷ 15 = 3

Step-by-step explanation:

A is wl

45 = 15 x z

45 = 15z

3 = z

PLEASE HELP! I WILL MAKE YOU BRAINLIST!

Answers

Answer:

micro organism

Step-by-step explanation:

Solve for a:
35= -7a+14

Answers

-7a + 14 = 35
-7a + 14 - 14 = 35 - 14
-7a = 21
—- —-
-7 -7
a = -3

hope this helps!! :)

44% of ten is what number

Answers

the answer should be 4.4

Answer:

4.4

Step-by-step explanation:

You have to turn 44% into a decimal which will be 0.44

Then multiply 0.44 by 10

0.44*10

4.4

How many 3/6 are there in 1 whole


Don’t give me glibberish answers or I will report u

Answers

Answer:2

Step-by-step explanation:because

x=1x6/3

X=2

Its not gibberish so gimme brainliest

Answer:

It would be 2.

Step-by-step explanation:

3/6 is half of a whole. Which means, there is a half missing. So multiply 3/6 by 2, to make it a whole.

which expression has a value of 4​

Answers

Answer:

7x=28

Step-by-step explanation:

1+3
2x2
4x1
8-4
10-6
16➗4

Solve for s:
14=-2s-8

Answers

Answer: 11

Step-by-step explanation:

2 times 11 is 22. 22-8=14

Answer:

14= -2s - 8

22= -2s

-11=s

Step-by-step explanation:

Add 8 to both sides, on one sided the number will be undo but on the other it won't

Then divide both sides by -, wich leaves the unknown variable alone

Finally you have your answer!

Find the percentages: 33 1/3 % of 75

Answers

The answer is 25 because you divide 33.33 by 100 the times it by 75

The value of percent for 33 1/3% of 75 is 25.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The expression is,

⇒ 33 1/3% of 75

Solve for value as;

⇒ 100/3% × 75

⇒ 100/(3×100)  × 75

⇒ 75/3

⇒ 25

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Onya selected a pair of shoes for the regular price of $80. How much money will she save by using the 20% off coupon? Justify your answer using equations, models, and/or words to explain your mathematical reasoning. Part B: Katie selected a pair of shoes for the regular price of $120. After the 20% off discount is applied, what will be the discounted cost of the shoes (before tax)? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.

Answers

Answer:

a. [tex]Savings = \$16[/tex]

b. [tex]Price = \$96[/tex]

Step-by-step explanation:

Solving (a):

[tex]Price = \$80[/tex]

[tex]Coupon = 20\%[/tex]

Required

Determine her savings.

[tex]Savings = Coupon * Price[/tex]

[tex]Savings = 20\% * \$80[/tex]

[tex]Savings = \$16[/tex]

Solving (a):

[tex]Price = \$120[/tex]

[tex]Coupon = 20\%[/tex]

Required

Determine the price before tax

First, we need to determine her savings

[tex]Savings = Coupon * Price[/tex]

[tex]Savings = 20\% * \$120[/tex]

[tex]Savings = \$24[/tex]

The price before tax is calculated as follows:

[tex]Price = \$120 - \$24[/tex]

[tex]Price = \$96[/tex]

The table of values below represents a linear function and shows the amount of money in Juanita’s savings account since she began her part-time job. What is her monthly rate of savings?

Amount in Juanita’s Savings Account
Number of Months Working at Part-Time Job
0
2
4
6
8
Amount in Savings Account (in dollars)
$36
$60
$84
$108
$132

a.$12 per month
b.$18 per month
c.$24 per month
d.$36 per month

Answers

Answer:

The answer is C., $24 per month.

Answer:

A $12

Step-by-step explanation:

she has saved $36 before she gets a part time job, after 2 months, her savings have increased from 36 to 60. 2 months = 60 - 36, 2 months = 24. now we divide 24 by 2, and the answer is 12. option A is correct.

These are statements about factors and prime and composite numbers. Which statements are true? Check all that apply. The numbers 4, 9, 25, and 49 are composite numbers. The number 1 is a prime number. The first prime number is 2. A composite number can be written as the product of prime numbers.

Answers

Answer:

The numbers 4, 9, 25, and 49 are composite numbers.

The number 1 is a prime number.

Step-by-step explanation:

A prime number can be defined as a number that is divisible by 1 and itself only. Examples are: 1, 3, 5, 7, 11 e.t.c

A composite number can be defined as a positive number that can be formed by multiplying two smaller positive numbers together. These two positive integers may or may not be prime number.

It is a positive integer that has at least one divisor other than 1 and itself.

Examples are: 4, 6, 8, 9, 12, 25, 49, e.t.c

Therefore, the true statements in the questions above =

The numbers 4, 9, 25, and 49 are composite numbers.

The number 1 is a prime number.

Answer: A,C,D!!! These are correct!!!

PLEASE HELP AND EXPLAIN!! I will mark brainliest <3

Answers

Answer: AB is 40

Step-by-step explanation: CD=CE+ED ED is 5 and it is also the midpoint meaning it is 1/2 of the value of the line. Therefore CD is 10, BC=BD+CD CD as we know is 10 and D is the mid point meaning it is also 1/2 of the value of BC. 10+10=20, AB=AC+BC, BC is 20 so AC must also be 20;therefore AB is 40

To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets to bytes of information is given by b = 1,500p where p represents the number of packets and b represents the number of bytes of information. Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets and the number of bits. (X = form)

Answers

Answer: [tex]x= 187.5p[/tex]

Step-by-step explanation:

Given : An equation relating packets to bytes of information : [tex]b = 1,500p[/tex] where p represents the number of packets and b represents the number of bytes of information.

1 byte = 8 bits

Let x= Number of bits such that 1 b = 8x

Put b = 8x in given equation , we get

[tex]8x=1500p[/tex]

Divide both sides by 8 , we get

[tex]x= 187.5p[/tex]

Hence, the equation represent the relationship between the number of packets and the number of bits : [tex]x= 187.5p[/tex]

Answer:

x=12000p

Step-by-step explanation:

It is Right

I Fink

If $7,300 is invested in an account that offers 7% interest compounded semi-annually, how much money is in the account after 3 years?

Answers

Answer:

The answer to your question is $8973.56

Step-by-step explanation:

find the gradient of the line segment between the points (0,3) and (1,8)

Answers

The gradient of the line segment between the points (0,3) and (1,8) is : 5

What is gradient?

Gradient is the ratio of the increase or decrease in the y-coordinates to the increase ore decrease in the x-coordinates of points that form a line segment.

Analysis:

x1 = 0, x2 = 1, y1 = 3, y2 = 8,

Gradient(M) = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

                        = [tex]\frac{8 - 3}{1 - 0}[/tex] = 5/1 = 5

In conclusion, the gradient of the given points (0,3) and (1,8) is : 5

Learn more about gradients : brainly.com/question/21727173

#SPJ1

Answer:

Step-by-step explanation:

difference in x = 1

difference in y= 5

5 divided by 1 = 5

gradient= 5

On a coordinate plane, Broadway is 4 units to the right and 4 units up. Empire State Building is 1.50 units to the right and 1 unit up. Brooklyn Bridge is 5 units to the left and 4.5 units down. Statue of Liberty is 4 units to the left and 3.5 units up. Which ordered pairs show the location of the Empire State Building? Check all that apply. (1 and one-half, 1) (1, 1 and one-half) (–1.5, –1.0) (1.5, 1.0) (1.0, 1.0)

Answers

Answer:

upove is correct

Step-by-step explanation:

hehe

2^n-5×5^n-4=5

Please help me
I will mark as brainist
please do the sum in a paper and post...​

Answers

[tex]\huge{\fbox{\sf{n=5 }}}[/tex]

Step 1:

[tex]⇒ {2}^{n - 5} \times {5}^{n - 4} = 5[/tex]

Step 2:

[tex] ⇒{2}^{n - 5} \times {5}^{n - 4} = {5}^{1} \times {2}^{0} [/tex]

On comparing values we get:

Taking:

[tex] {2}^{n - 5} = {2}^{0} [/tex]

n-5=0

n=5

or

Taking:

[tex] {5}^{n - 4} = {5}^{1} [/tex]

n-4=1

n=5

whats the answer to this?

Answers

Answer:

5

Step-by-step explanation:

Add the two coordinates and divide by 2.

-2 + 12 = 10

10/2 = 5

Answer: 5

Other Questions
Which of the following happens to an object in uniform circular motion?A. its velocity changesb. its speed changesc. its centripetal acceleration changesd. the direction of its velocity stays the same which type of reproduction produces offspring with better characteristics ? you and your business partner are mailing advertising flyers to your customers. you address 6 flyers each minute and have already done 80. your partner addresses 4 flyers each minute and has already done 100. calculate when the two of you will have addressed equal numbers of flyers. Which equation is equivalent to 4x 14 + 2x = 70?Group of answer choices8X = 562X = 5620X = 706X = 84 are you a protesting student? How do the "laws of supply and demand" operate in a market economy? what is the environmental effect of 3NaCl Find the slope using these two coordinate points:(0, 15) and (4, 3)Your answer What is respiration? Scientists have found that mountain ranges from different continents show rocks that are similar in age and sequence. Based on these observations, what conclusions can be made. * solve the equation and graph the solution:24 + 6k < -6(-4-k) A square playing field has an area of 1156 yd. how long is each side of the field When did the one-way mirror act more reflective like a mirror? More transparent like a window? Both? Help me out pleaseI need it done by Monday What country includes Japan, China, Korea ? Oliver is playing a game with his friends. Each player gets7 pieces. In all, there are 70 pieces on the game board.Which number sentence can be used to find the numberof people playing the game?Help please Jina bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $400 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 8% per year. The total finance charges for one year were $275. How much did each computer cost before finance charges? if 57.75 is after a 30% taken off then what was the original price Consider the primary functions of the left hemisphere of the brain and compare them with those of the right. What is it about those functions that makes them more crucial for basic survival and success within our modern society? No, i don't have a theater for my play yet