Matt and Chris leave their uncle's house in Phoenix at the same time, Matt drives west on 1-60 at a speed of 79 miles per hour. Chris drives east on 1-60 at a speed of 83 miles per hour.

How many hours will it take them to be 64 miles apart


Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels five miles per hour. The

southbound boat goes seven miles per hour How many hours will it take them to be 66 miles apart?

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Addit

Answers

Answer 1

Answer:

It will take them (Matt and Chris) 0.395 hours to be 64 miles apart

It will take 5.5 hours for the boats to be 66 miles apart

Step-by-step explanation:

We are to determine the time when Matt and Chris will be 64 miles apart, that is, when the total distance traveled by both of them will be 64 miles.

Let the time be t and

Let the distance covered by Matt be S₁ and the distance covered by Chris be S₂.

For Matt,

From the question, Matt drives at a speed of 79 miles per hour

From the formula

Distance = Speed × Time

S = v × t

∴ S₁ = 79×t

S₁ = 79t

For Chris,

From the question, Chris drives at a speed of 83 miles per hour

Using the same formula,

∴ S₂ = 83 × t

S₂ = 83t

To determine when they will be 64 miles apart, that is when S₁ + S₂ = 64 miles.

Hence,

S₁ + S₂ = 79t + 83t

∴64 = 79t + 83t

64 = 162t

t = 64/162

t = 0.395 hours

Hence, it will take them 0.395 hours to be 64 miles apart.

For the boats,

To determine how many hours it will take them to be 66 miles apart, that is when the total distance traveled by the two boats will be 66 miles.

Let the time be t and

Let the distance traveled by the northbound boat be S₁ and the distance traveled by the southbound both be S₂.

From the question,

The northbound boat travels five miles per hour

From the formula

Velocity = Distance / Time

Then, Distance = Velocity × Time

That is, S = v × t

Hence, for the northbound boat,

S = S₁

v = 5 miles per hour

∴ S₁ = 5t

Also from the question,

The  southbound boat goes seven miles per hour

Hence, for the southbound boat

S = S₂

v = 7 miles per hour

∴ S₂ = 7t

To determine when the boats will be 66 miles apart, that is when S₁ + S₂ = 66 miles

Then,

S₁ + S₂ = 5t + 7t

Hence,

66 = 5t + 7t

66 = 12t

t = 66/12

t = 5.5 hours

Hence, it will take 5.5 hours for the boats to be 66 miles apart.


Related Questions

what value for n makes the following sentence true ?

2( n+3 )=5

ILL MARK BRAIIST !!!

Answers

Answer:

-0.5

Step-by-step explanation:

Answer:

n= -0.5

Step-by-step explanation:

2(n+3)=5

2n+6=5

2n=-1

n=-1/2= -0.5

DJ has 16 movies, and Three-eighths of them are comedies. How many movies are comedies?

Answers

Answer:

16 * 3/8 = 6

6 movies are comedies

Answer:  6 movies are comedies.

Step-by-step explanation:

First expression three-eighths as a fraction then multiply it by the number of movies that DJ has in total.

three-eights = 3/8

3/8 * 16 = 48/8 = 6

Answer this and ill will help back and give brainliest

Answers

Answer:

Gh 2

Step-by-step explanation:

2

The graph of f (x) = −x3 + 3x2 − 2 is
shown in the figure to the right.
Complete the table below by using
the second derivative of f to identify
the intervals on which f us concave
upward or concave downward and
to identify the inflection points of f.

Answers

Answer:

Concave Up: (-∞, 1)

Concave Down: (1, ∞)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Combining Like Terms

Calculus

Derivative of a Constant is 0.

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Second Derivative Test:

Possible Points of Inflection (P.P.I) - Tells us the possible x-values where the graph f(x) may change concavity. Occurs when f"(x) = 0 or undefinedPoints of Inflection (P.I) - Actual x-values when the graph f(x) changes concavityNumber Line Test - Helps us determine whether a P.P.I is a P.I

Step-by-step explanation:

Step 1: Define

f(x) = -x³ + 3x² - 2

Step 2: Find 2nd Derivative

1st Derivative [Basic Power]:                    f'(x) = -1 · 3x³⁻² + 2 · 3x²⁻¹Simplify:                                                     f'(x) = -3x² + 6x2nd Derivative [Basic Power]:                  f"(x) = -3 · 2x²⁻¹ + 1 · 6x¹⁻¹Simplify:                                                     f"(x) = -6x + 6

Step 3: Find P.P.I

Set f"(x) equal to zero:                    0 = -6x + 6Isolate x term:                                 -6 = -6xIsolate x:                                          1 = xRewrite:                                           P.P.I x = 1

Step 4: Number Line Test

See Attachment.

We plug in the test points into the 2nd Derivative and see if the P.P.I is a P.I.

x = 0

Substitute:                    f"(0) = -6(0) + 6Multiply:                        f"(0) = 0 + 6Add:                              f"(0) = 6

This means that the graph f(x) is concave up before x = 1.

x = 2

Substitute:                    f"(2) = -6(2) + 6Multiply:                        f"(2) = -12 + 6Add:                              f"(2) = -6

This means that the graph f(x) is concave down after x = 1.

Step 5: Identify

Since f"(x) changes concavity from positive to negative at x = 1, then we know that the P.P.I x = 1 is actually a P.I x = 1.

Let's find what actual point on f(x) when the concavity changes.

Substitute in P.I into f(x):                    f(1) = -(1)³ + 3(1)² - 2Evaluate Exponents:                          f(1) = -(1) + 3(1) - 2Multiply:                                              f(1) = -1 + 3 - 2Combine like terms:                          f(1) = 0

So at (1, 0), f(x) changes concavity from concave up to concave down.

Step 6: Define Intervals

We know that before f(x) reaches x = 1, the graph is concave up. We used the 2nd Derivative Test to confirm this.

Concave Up Interval: (-∞, 1)

We also know that after f(x) passes x = 1, the graph is concave down. We used the 2nd Derivative Test to confirm this as well.

Concave Down Interval: (1, ∞)

3(x − 2) = 12 nvwdksbvjkdsbvjkds jksncjv

Answers

X=6, solved for x. Cxxxxxx

Which equation represents a linear function?
Group of answer choices

y – 5 = x(–x + 2)

y – 5 = x – 20

y(x – 1) = 9

y(y – 1) = x + 25

Answers

The 3rd one I’m pretty sure. LET ME KNOW IF ITS RIGHT!

which graph represents the compound inequality -3 greater than and greater than 1​

Answers

Answer:

Its the 3rd option

Step-by-step explanation:

when -3 is greater hence (-infinity,-3)

when the number is greater than 1 then (1,infinity), hence

from top to bottom, the 3rd option is the answer:

(-infinity,-3) UNION (1,infinity)

The weighted voting systems for the voters A, B, C, ... are given in the form q: w1, w2, w3, w4, ..., wn . The weight of voter A is w1, the weight of voter B is w2, the weight of voter C is w3, and so on. Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth. (If not possible, enter IMPOSSIBLE.) {76: 52, 39, 31, 25, 9}

Answers

Answer:

Banzhaf power index for each voter

Voter A = 3/4 = 0.75

Voter B = 0/4 = impossible

Voter C = 1/4 = 0.25

Step-by-step explanation:

using the Banzhaf power index for each voter

{76: 52, 39, 31, 25, 9}

Voter A = 52

Voter B = 39

Voter C = 31

Voter D = 25

Voter E = 9

lets calculate the Banzhaf power index for Voters A to C

A B = 52 + 39 ≥ 76

B C = 39 + 31 ≤ 76

A C = 52 + 31 ≥ 76

A B C = 52 + 39 + 31 ≥ 76

Lets consider critical

A B  : A is critical  because without A the sum < 76

B C :  B is not critical because without B the sum is still < 76

A C : C is critical because without C the sum < 76

A B C : A is critical as B + C < 76

           B is not critical as A + C ≥ 76

           C is not critical as A + B ≥ 76

Number of times critical : For A = 3, For B = 0 , For C = 1

Banzhaf power index for each voter

Voter A = 3/4 = 0.75

Voter B = 0/4 = impossible

Voter C = 1/4 = 0.25

Ava bought 1.7 lb of plums and 7.2 lb of peaches how many was her total. Plums:$0.23. per pound peaches:$1.22 per pound​

Answers

Answer:

0.391+8.42=8.811

8.811 in dollars is 10.42 United States Dollars

Step-by-step explanation:

Your answer is 10.42 c:

If f(x) = 3[x] + 5, find f(x) if x = 4.3
PLS ANSWER I HAVE TO TURN IN SOON

Answers

Answer:

F(x) = 17.9

Step-by-step explanation:

Plug in x. 3(4.3) + 5 = 17.9

answer if you have the ability to​

Answers

Answer:

A is the answer.

as a membership fee, a health club charges a one time amount of $40 and charges $25 each month. the total fee after m months is $240 what is the value of m

Answers

Answer:

The value of M is M I just kidding but the value of M is 4 Months because if you add 40 and 25 each time then eventually you would get 240$. Hope this helps please give brainlist. Please

Answer:

m= 4 months

Step-by-step explanation:

divide and subtract them numbers

A fencewill go around a circular Garden. The radius of the garden is 29 feet what length of fence is needed

Answers

Answer: 58π = 182. 21 feet

Step-by-step explanation:

Circumfrence is kinda like the perimeter of the circle and we need to use the cirucumfrence formula 2πr to solve for the length of fence needed.

2π(29) = 58π = 182. 21 feet

Use the inequality 24 ≥ 58 + 5(x - 3.8)
Solve for the inequality X.
Pls help I need to hand it in by 4:00..

Answers

Answer:

Work shown below!

Step-by-step explanation:

24 ≥ 58 + 5(x - 3.8)

Distribute;

24 ≥ 58 + 5x - 19

Collect like terms;

24 ≥ 39 + 5x

Subtract 39 from both sides;

-15 ≥ 5x

Divide both sides by 5;

x ≥ -3

X=-2.

f(x) = 2x-2+5

Answers

Step-by-step explanation:

from,

f (x) = 2x-2+5

BUT x=-2

f (x) = 2 (-2)-2+5

= -4-2+5

= -6+5

= -1

so,

f (x) = -1

The income from the spanish club bake sale was $465. Expense for the sale totlaed $50. Using integer addition find the total profit or loss from the bake sale

Answers

9514 1404 393

Answer:

  profit: $415

Step-by-step explanation:

Profit = Income - Expense

  = $465 - 50

  = $415

The profit from the bake sale was $415.

__

If you consider the above subtraction not to be "integer addition," then the equation you want to evaluate is ...

  profit = $465 + (-50) = $415

Subtraction is the same as addition of the opposite.

Standardization of Normal Distribution is the process of

Answers

Answer:

Step-by-step explanation:

Standardizing a normal distribution is to convert a normal distribution to the standard normal distribution. In real-world applications, a continuous random variable may have a normal distribution with a value of the mean that is different from 0 and a value of the standard deviation that is different from 1.

(HELP! MARKING BRAINLIEST) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet paper. What is the average rate of change?

Answers

Answer:

14 packs per hour

Step-by-step explanation:

The store sold 57 - 15 = 42 packs of toilet paper in 3 hours.

42 packs in 3 hours = 42/3 = 14 packs per hour

Which event has theoretical probability of exactly 1/5 select three options

Answers

The spinner is divided into 10 equal sections.

Which event has theoretical probability of exactly 1/5? Select three options.

A) spinning a number less than 3

B) spinning a 4 or 5

C) spinning an odd number

D) spinning a number greater than 8

E) spinning a number less than 8

Answer:

Options A, B & D are correct

Step-by-step explanation:

From the image attached, we can see that the total number on the spinner is 10.

Now, we want to find which event has theoretical probability of exactly 1/5

Option A: spinning a number less than 3 means we get 1 or 2 which is 2 numbers.

Thus; probability = 2/10 = 1/5.

This option is true

Option B: spinning a 4 or 5 means 2 numbers.

Thus; probability = 2/10 = 1/5.

This option is true

Option C: Odd numbers in the spin are 1,3,5,7,9. This is a total of 5 numbers.

Thus, probability = 5/10 = 1/2

This option is wrong.

Option D: Numbers greater that 8 are 9 & 10. That's 2 numbers.

Thus, probability = 2/10 = 1/5

This option is correct

Option E: numbers less than 8 are;

1,2,3,4,5,6,7. That's a total of 7 numbers.

Probability = 7/10

Thus, this option is wrong.

Answer: A, B, D

Step-by-step explanation:

One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows the number of hours she worked each week, \small x, and the amount of donations in dollars, \small y, that the organization collected each week for 10 weeks. The data in the scatter plot suggest a linear association. A line to model the data is given by \small y=12x+41.

Describe the correlation between the variables as either strong or weak and as either positive or negative. Explain your reasoning.

Answers

Answer:

The more hours she worked the more donations she would receive.

Step-by-step explanation:

In the chart the higher the number of how many hours she worked resulted in a higher amount of donations

The association between the variables is strong and positive.

The equation of a straight line is given by y = mx + c.  can easily make use of a regression line to ascertain the nature of the relationship between two variables as we can see in the graph shown in the question.

From the graph shown in the question, it is easy to ascertain that the association between the variables is strong and positive. The association is strong because the points lie together and positive because the plot increases linearly.

Learn more about association of variable: https://brainly.com/question/2426761

Solve for the values of x and y

Answers

                       SOLVING LEFT-SIDED RIGHT TRIANGLE

Answer:

The value of the missing length of the side x=26 units

Step-by-step explanation:

The Pythagorean theorem states

[tex]\:a^2\:+\:b^2\:=\:x^2[/tex]

We will use the Pythagorean Theorem to solve for the missing side length.

[tex]24^2\:+\:10^2\:=\:x^2[/tex]

switch both sides

[tex]x^2=24^2+10^2[/tex]

[tex]x^2=576+100[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{676},\:x=-\sqrt{676}[/tex]

[tex]x=26,\:x=-26[/tex]

As x can not be negative.

Therefore, the value of the missing length of the side x=26 units

                          SOLVING LEFT-SIDED RIGHT TRIANGLE

Answer:

The value of the missing length of the side y=15 units

Step-by-step explanation:

Considering the right-sided right triangle

The Pythagorean theorem states

[tex]a^2\:+\:b^2\:=\:c2[/tex]

We will use the Pythagorean Theorem to solve for the missing side length.

[tex]15^2\:+\:y^2\:=\:\left(15\sqrt{2}\right)^2[/tex]

[tex]225+y^2=450[/tex]    ∵ [tex]\left(15\sqrt{2}\right)^2=450[/tex]

[tex]y^2=225[/tex]

[tex]y=\sqrt{225},\:y=-\sqrt{225}[/tex]

[tex]y=15,\:y=-15[/tex]

As y can not be negative.

Therefore, the value of the missing length of the side y=15 units

What is the Additive inverse of -7?​

Answers

Answer:

7

Step-by-step explanation:

Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3. 3 is the additive inverse of -3.

The additive inverse of a number is a number that is the same distance from 0 on the number line, but in the opposite direction. It can also be thought of as the number that you need to add to a number in order for the result to be 0.

Examples

In the number line below, -3 and 3 are additive inverses. If we add the other value to either of the two values, the result will be 0.

-3 + 3 = 0

3 - 3 = 0

The same is true of the other corresponding values on the number line; 5 and -5, 4 and -4, 2 and -2, 1 and -1, and even 0 and 0, are all also additive inverses.

Answer:

7

Step-by-step explanation:

The additive inverse of a number is is the number that, when added to it, yields zero.

Which phrase does not describe a rational number?

Select one:

repeating decimal

integer number

terminating decimal

О

non-repeating, non-terminating decimal

Answers

Answer: D) non-repeating, non-terminating decimal

========================================================

Explanation:

Any rational number is of the form p/q, where p and q are integers and q is nonzero. So basically it's any fraction you can think of.

If a decimal terminates (ie stops) then it is a rational number.

For instance, 0.9 = 9/10 is rational

If a decimal repeats in some way, then it is rational

Eg: 0.0833333.... = 1/12

The dots after the 3 indicate the 3's go on forever.

So far, the facts mentioned allow us to rule out choices A and C. Choice B can be ruled out as well because any integer is always rational. We can easily prove it as such by writing the integer x as x/1.

A more concrete example could be writing the integer 7 as 7/1. So this shows 7 is rational and any integer is rational. Simply stick the integer over 1.

The only thing left at this point is choice D. Any non-repeating non-terminating decimal will be irrational. An example would be pi = 3.14159... which goes on forever without a pattern that repeats. Effectively the decimal digits of pi are more or less random. An irrational number is one that is not rational, and therefore cannot be written as a ratio of two integers.

F(x)=3x+10
g(x)= x-2
Find g(f(-10))
Solve please

Answers

Answer: -22

Step-by-step explanation:

first let's plug in -10 to the f(x) function.

F(-10) = 3(-10) + 10 = -30 +10 = -20

Now we plug in -20 into the g(x) function

g(-20) = -20 -2 = -22

Answer:

If g(x) = x - 2, then g(f(x)) = f(x) - 2. So the whole equation would be: 3x + 10 × x - 2. Simplified: g(f(x)) = 13x - 2

UwU

Given the following function, find h(-1).
h(x) =8x²+3

Greatly appreciate any help...

Answers

Answer:

11

Step-by-step explanation:

The difference between five halves of a number and 17 is 48

Answers

Answer:

let the number be X

it's five Half's = 5/2×x

by the condition

5/2x-17 =48

X = 48×-85/2

X = 24 × -85

If the difference between five halves of a number and 17 is 48 then the number is 26.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The difference between five halves of a number and 17 is 48.

Assuming the number to be 'n'.

(5/2)x - 17 = 48.

5x - 34 = 96.

5x = 130.

x = 26.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ5

which option gives you more snack when spending the same amount of money?
Doritos 4.39 for 11.5 oz
or
cheetos 9.75 for 3.24

Answers

Answer:

Spending the same amount of money, Cheetos gives more snacks than Doritos, since with the same money more ounces of the product will be obtained.

Step-by-step explanation:

Given that the Doritos package costs $ 4.39 and contains 11.5 ounces of product, the price of each ounce of said snack comes from the following calculation:

4.39 / 11.5 = X

0.38 = X

Therefore, each ounce of Doritos costs $ 0.38.

In turn, the Cheetos package costs $ 3.24 and contains 9.75 ounces of snacks, so its price per ounce is obtained through the following calculation:

3.24 / 9.75 = X

0.33 = X

Thus, each ounce of Cheetos costs $ 0.33.

Therefore, spending the same amount of money, Cheetos gives more snacks than Doritos, since with the same money more ounces of the product will be obtained.

I need help on this one please

Answers

Answer:

here is what i think

7.15 divided by 65 what is the answer? I need help to solve this problem

Answers

Answer:

7.15/65 = 0.11

The answer is 0.11 hope this helps

Opps- THIS IS DUE IN 7 MINS HALPPPPP!!!! I FORGOT TO DO THIS AND NOW I NEED HALPPPP

ps. Giving 30 points if answer is given

Answers

Answer:

I believe the bottom one is true and the rest are false

Step-by-step explanation:

bottom one true

Answer:

it is the last one. it is a smaller distance from Drachten

Step-by-step explanation:

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