Efren leaves home at 9am and walks 4 miles per hour. His brother, gregory leaves half an hour later and runs 8.5 miles per hour in the same direction as efren. Predict the time at which gregory will catch up to efren

Answers

Answer 1

Answer:

Gregory will catch up Efren after 26 minutes 40 seconds.

Explanation:

 Distance traveled = Speed x Time

 Speed of Efren = 4 mi/h

 Speed of Gregory = 8.5 mi/h

 Let the time of catch up be t hours.

 Time of journey of Efren before catch up = (t+0.5)hours, since he starts before half hour.

 Distance traveled by Efren = 4 x (t+0.5) miles

 Time of journey of Gregory before catch up = t hours.

 Distance traveled by Gregory = 8.5 x t miles

If they catch up the distance traveled by them is same, so equating both distances.

4 x (t+0.5) = 8.5 x t

4.5t = 2

t = 0.44 hours =26.67 minutes = 26 minutes 40 seconds.

So Gregory will catch up Efren after 26 minutes 40 seconds.

Answer 2

Gregory will catch up to Efren approximately at 9:56am.

To find out when Gregory will catch up to Efren, we need to set up an equation based on their speeds and the time they travel.

Calculate the head start distance: Efren leaves at 9am and walks at 4 miles per hour.

Gregory leaves at 9:30am, so Efren has a 0.5-hour head start. Distance head start = speed × time = 4 miles/hour × 0.5 hours = 2 miles

Determine their relative speed: Gregory runs at 8.5 miles per hour while Efren walks at 4 miles per hour.

Relative speed = Gregory's speed - Efren's speed = 8.5 miles/hour - 4 miles/hour = 4.5 miles/hour

Calculate the time for Gregory to catch up: We need to divide the head start distance by their relative speed.

Time = Distance / Relative speed = 2 miles / 4.5 miles/hour ≈ 0.444 hours (which is roughly 26.67 minutes)

Find the catch-up time: Gregory leaves at 9:30am, so add the catch-up time to this.

Catch-up time ≈ 9:30am + 26.67 minutes ≈ 9:56am

Therefore, Gregory will catch up to Efren at approximately 9:56am.


Related Questions

Translate and solve: eight more than the product of three and a number is -13

Answers

Ok, so let’s take the given phrase.
Eight more than the product of 3 and a number is -13. A translation to numbers looks like this:
3x + 8 = -13
Now, let’s solve for x. We can start the process by subtracting 8 from both sides.
3x = -21
now, we will divide each side by 3 to isolate the variable, thus solving for x.
x = -7

An investment firm wants to create a billboard that displays an enlarged $1,000,000 bill. The actual size of the bill is 2.61 inches by 6.14 inches. If the billboard is 48 feet wide, what's the scale of the bill to the billboard? A. 1′ = 8.71″ B. 1′ = 7.81″ C. 1″ = 8.71′ D. 1″ = 7.81′

Answers

We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.

We know both data, then we perform the operation:

48 feet /6.14 inches = 7.81 feet / inches .


Therefore the correct answer is option D. 1″ = 7.81′

For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.

Which exponential function is represented by the graph?

A) f(x) = 2(3^x)
B) f(x) = 3(3^x)
C) f(x) = 3(2^x)
D) f(x) = 2(2^x)

Answers

Answer:

C - 3(2^x).

.

HURRRY!!!
The average estimated hours a person in the United States spent playing video games per year from 2002 to 2012 were 71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142. Use the statistics calculator to find the variance and population standard deviation. Round answers to the nearest whole number.
The variance of this data set is _______.
The population standard deviation for this data set is ________.

Answers

The variance of the set is 579

The population standard deviation for this data set is 24

Answer:

579

24

This is correct

Step-by-step explanation:


Select an equivalent form of this equation: x/12 - 7 = x/4

Answers

Final answer:

To solve the equation x/12 - 7 = x/4, multiply all terms by 12 to eliminate the fractions. Simplify the equation and solve for x by isolating the variable.

Explanation:

To solve for x, we need to find an equivalent form of the given equation. First, let's get rid of the fractions by multiplying all terms by 12 (the common denominator).

After multiplying, we get 12(x/12) - 12(7) = 12(x/4), which simplifies to x - 84 = 3x.

Next, subtract x from both sides of the equation to isolate the variable. This gives us -84 = 2x.

Finally, divide both sides of the equation by 2 to solve for x. The equation becomes -42 = x. Therefore, an equivalent form of the given equation is x = -42.

Niko needs 12 marshmallows and 8 graham crackers to make 4 s'mores how many marshmallows and crackers would he need to make 3 s'mores

Answers

Niko would need 9 marshmallows and 6 graham crackers to make 3 s’mores.
EXPLANATIONN: Ok so to find how many marshmallows he uses for one smore divide 12 by 4, and you get 3, so he uses 3 marshmallows in one smore. Next, we find how much graham crackers he uses in 1 smore by dividing 8 by 4 which is 2 (obvisously but whatever). So now we know that he used 3 marshmallows and 2 graham crackers to make 1 smore, but now we need to know how much of those he needs for 3 graham crackers. So 3 times 3 is 9 so he uses 9 marshmallows, and 2 times 3 is 6 so he uses 6 crackers. Multiply by three cause youre trying to figure out how much stuff he uses for smores. the end, also its a pretty simple problem, just kinda has a long explanation-ish i gues

Danny makes $8.75 per hour and works 32 hours per week but 18 percent is withheld from each paycheck for taxes. If Danny's monthly expenses total $595 per month and he is able to save the rest, approximately how much could Joe save in one year?

Answers

the answer should be $4799.20

First we need to find Danny's yearly net income or how much he makes after taxes. $8.75 per hour. He works 32 hours a week. Multiply those together and we get $280 per week. Now divide by seven for daily income. That results in $40 a day. Then multiply by 365 to get $14600 a year. Now to account for taxes. 18% is withheld for taxes which means 82% is not. $14600 multiplied by .82 is $11972, and that's our net income.

Now we need to subtract expenses. $595 a month is the same as $7140 a year. Subtract that from $11972 and we get $4832 left over, and that's our answer.

Four neighborhood children opened their own lemonade stand. The table shows the sales information for each stand, in glasses of lemonade. What was the largest fraction of sales of the stands' inventory?

A. 1⁄2
B. 4⁄7
C. 3⁄4
D. 7⁄12

Answers

Answer:

Option C is the answer.

Step-by-step explanation:

Given that four neighborhood children opened their own lemonade stand. The sales by the four were as follows:

A. 1⁄2

B. 4⁄7

C. 3⁄4

D. 7⁄12

We cannot compare these sales as such since they have different denominators.

To compare we find the Least common denominator for all the four first.

2,7,4,12 have lCD = 12(7) = 84

Now make equivalent fractions for all the four.

A. 1⁄2   = 42/84

B. 4⁄7    = 48/84

C. 3⁄4    = 63/84

D. 7⁄12  = 49/84

Now since denominator is the same we compare and find that

C =63/84 is the largest value.

Hence Option C is the answer.

A farmer has 113 sheep. 47 of them are males. How many more female sheep are there than make sheep?

Answers

113-47 = 66 female sheep

66-47 = 19

19 more female sheep than male sheep

The total number of sheep the farmer has is 113 sheep. Since 47 of them are males and you are solving for the number of female sheep, you can subtract 47 sheep from 113 sheep.

113 - 47 = 66

We have figured out that there are 113 total sheep, 47 male sheep, and 66 female sheep. The question is asking for how many more female sheep are there than male sheep, so subtract the number of male sheep from the number of female sheep.

female sheep - male sheep = answer

66 - 47 = 19

There are 19 more female sheep than there are male sheep.

which of the following are solutions to the quadratic equation? x^2 + 8x + 16 =7

Answers

E and F

note that x² + 8x + 16 is a perfect square which factors as ( x + 4 )², thus

(x + 4 )² = 7 ( take the square root of both sides )

x + 4 = ± √7 ( note plus or minus )

subtract 4 from both sides )

x = ± √7 - 4

x = √7 - 4 → E

x = - √7 - 4 → F


Answer:

E & F

Step-by-step explanation:

i got it right on Apeckxsss

Kelly has a spinner with 4 equal sections. She spins it 2 times. How many possible outcomes are in the sample space of the experiment?

Answers

Answer:

4 times 2 equals 8

Step-by-step explanation:

step by step think in your stomach.

Kelly has a spinner with 4 equal sections. so the outcome is 4 but she spins it 2 times so the outcome will be 4² = 16.

What are Permutation and combination?

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

Given

Kelly has a spinner with 4 equal sections. She spins it 2 times.

How many possible outcomes are in the sample space of the experiment?

Kelly has a spinner with 4 equal sections. so the outcome is 4 but she spins it 2 times so the outcome will be 4² = 16.

Let the outcome are (1, 2, 3, 4)

Then all the outcomes are

(1, 1)(1, 2)(1, 3)(1, 4)

(2, 1)(2, 2)(2, 3)(2, 4)

(3, 1)(3, 2)(3, 3)(3, 4)

(4, 1)(4, 2)(4, 3)(4, 4)

So the total outcome is 16.

More about the permutation and combination link is given below.

https://brainly.com/question/11732255

Solve the equation for y.
1) It is 35°C at your school and 90°F at home. Where is the temperature higher?

Answers

Answer:

It's hotter at school.

Step-by-step explanation:

The formula is (F - 32) x 5/9 = C

So 90F would be about 31 or 32 Celsius.  I would recommend googling conversions like this in the future it's faster that way.

A movie cost $3,254,107 to produce.What digit is in the hundred thousands place?

Answers

The digit that we have is 3,254,107.

To find out what digits are there at hundred and thousands place we need to find out the digits at the respective places.

From the given digit we can see that (we start counting the places from the right i.e 7)

At units place we have 7

At tens place we have 0

At hundreds place we have 1

At thousands place we have 4

So, we have '1' at hundreds place and we have '4' at thousands place.

Write the recursive rule of the sequence -9, -3, 3, 9,... .
________________________________________

Answers

The rule of the numbers are to add 6 therefore when -9 is added by 6 it becomes -3 and -3 take away 6 is 3 and then 3 plaza 6 is 9

Why do the ratios of sine and cosine depend upon the angle being a part of a right triangle?

Answers

Step-by-step explanation:

Think of a right triangle (refer the attached image).  If you increase or decrease the length of  one of its legs, while keeping the other leg the same (the hypotenuse  will increase as well) here we have increased the length of the perpendicular side.  You can see that the *subtending*  angle (the angle which is opposite to the increasing leg, x) gets larger,  while the *adjacent* angle (the angle with the increasing leg as one  of its rays) will decrease.  

and we know that:

[tex]\sin x=\frac{AB}{AC}[/tex] and [tex]\cos x=\frac{BC}{AB}[/tex] in both the cases the variation of AB is causing the angles to change hence, the ratios of sine and cosine depend upon the angle being a part of a right triangle.



What is the value of this expression? (11,982)^0

Answers

The value of the expression 11,982^0, is actually 1! Any number to the power of zero is said to just be one.

Answer: 1


Step-by-step explanation:

Anything to the 0 power is 1, with the exception of 0⁰ = 0

(1,000,000,000)⁰ = 1

[tex](\frac{2}{5})^{0} = 1[/tex]

(0.0012345)⁰ = 1

the slope of the line below is -3. Use the coordinates of the labeled point to find a point-slope equation of the line

Answers

the answer to the question is a

Answer:

answer is A

Step-by-step explanation:

CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!

The square below has an area of 4 - 4x + x^2 square meters.

What expression represents the length of one side of the square?

Side length = ___ meters

Answers

Answer:

(2-x) or (x-2)

Step-by-step explanation:

Given that area of a square is 4-4x+x^2

We know that area of a square = side x side = side ^2

Hence side of a square = square root of area

To find side let us take square root of 4-4x+x^2

This can be written as 4-4x+x^2 = 2^2 -2(2)(x)+x^2

Recall the identity a^2-2ab+b^2 = (a-b)^2

Here a = 2 and b = x

Hence square root can be either 2-x if x<2 or x-2 if x>2

Answer is 2-x or x-2

How is 10 2/3 written as a decimal to the nearest hundreth?

Answers

How is 10 2/3 written as a decimal to the nearest hundreth?


Answer is 10.2/3 because you round it to the hundreth?

Money that an individual spends is referred to as
A. Investment
B. Liquidity
C. Cash inflow
D. Cash outflow

Answers

Cash outflow I think.

FOR THE LOVE OF GOD HELP ME PLEASE!!The trinomial x2 – 3x – 4 is represented by the model.


What are the factors of the trinomial?

Answers

( x + 1) and (x - 4)

to factor the trinomial consider the factors of the constant term ( - 4) which sum to give the coefficient of the x-term ( - 3 )

these are - 4 and + 1

x² - 3x - 4 = (x - 4)( x + 1)


I need a lot of help please help me. What is 128.34 as a mixed number in simplest form

Answers

128 and 34/100
Simplify that to 128 and 17/50

The length of a rectangle is 3 inches more than its width if the perimeter is 42 in find the dimensions of the rectangle

Answers

The problem uses the perimeter formula.  P = 2w + 2l   where w is the width, and l is the length.

We know the length (l) is 3 inches longer than it's width (or l = w+3).  Substitute w +3 into Perimeter equation.

P = 2w + 2(w+3).  That simplifies to P = 4w + 6.

Since P + 42,   we have 42 = 4w +6.  

With some simple algebra we find that w = 9 and l = 12.

If their food and bevareges cost 25.30 and their is an 8% meals tax how much is the bill

Answers

25.30 × 0.08 = 2.02 total tax

25.30 + 2.02 = 27.32

Total bill $27.32

PLEASE HELP NEED ANSWER NOW!!!!


The inequality 5m − 7 > 16 holds true for all numbers (Less? or Greater?) than (3? or 4?) in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Answers

Answer: Greater than 4

Final answer:

The inequality 5m - 7 > 16 is true for all numbers greater than 4 in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. After isolating m in the inequality, we find that m must be greater than 4.6. Since we're dealing with whole numbers, the inequality holds for numbers greater than 4.

Explanation:

To solve the inequality 5m − 7 > 16, we first isolate the variable m:

Add 7 to both sides of the inequality to get: 5m > 23.

Next, divide both sides by 5 to find the value of m: m > [tex]\frac{23}{5}[/tex], which simplifies to m > 4.6.

Since m must be greater than 4.6, and we are given a set of whole numbers, we are looking for all numbers greater than 4 in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. This means the inequality holds true for all numbers greater than 4 in the set.

Order this set of numbers from least to greatest: 2.51, 2.3, 2.15

Answers

2.15 2.3 2.51 least to greatness
2.51 2.3 2.51hdhjdjdjjd

How are rational numbers written as a decimal

Answers

i think it because when you rational X and witten the numer as a decimal hope i right just joke


example is rational number 4 12 then it say add and decimal the answer going to be 4.12



thank you have a nice day

There's seven-eighths of a gallon of chocolate ice cream in the freezer. There's also two-thirds of a gallon of vanilla ice cream. How much more chocolate ice cream is there than vanilla? A. 5⁄24 of a gallon B. 15⁄8 of a gallon C. 1⁄3 of a gallon D. 9⁄24 of a gallon

Answers

There's seven-eighths of a gallon of chocolate ice cream in the freezer. There's also two-thirds of a gallon of vanilla ice cream.

[tex]\frac{7}{8}[/tex] gallons of chocolate ice-cream

[tex]\frac{2}{3}[/tex]  gallons of vanilla ice-cream

To find how much more chocolate ice cream is there than vanilla

We subtract vanilla from chocolate

[tex]\frac{7}{8} -\frac{2}{3}[/tex]

To subtract fractions we make the denominators same

least common denominator is 24

[tex]\frac{7*3}{8*3} -\frac{2*8}{3*8}[/tex]

[tex]\frac{21}{24} -\frac{16}{24}[/tex]

[tex]\frac{5}{24}[/tex]

[tex]\frac{5}{24}[/tex] of a gallon

3. Subtract 8.263 from 13.48. A. 21.743 B. 5.217 C. 5.783 D. 6.815

Answers

8.263-13.48= -5.217
But
13.48-8.263= 5.217
So if there's no negative answer choices then the answer is B. 5.217 :) hope this helped


Evaluate: 4x (x-2)-3x^2 for x=3

Evaluate: 4x^2-3x+2 for x=2

Simplify -(2x+3y)-4(-x-y)

Answers

1.) 12x - 33

2.) 12

3.) -6x + y

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