Erin and Karissa are 114 miles apart, traveling towards each other. If Karissa travels 12 mph and Erin travels 7 mph how long until they meet?

Answers

Answer 1

Answer:

[tex]They\ will\ meet\ after\ 5.43\ hours\ or\ 5\ hours\ 25.8\ minutes.[/tex]

Step-by-step explanation:

[tex]Let\ they\ meet\ after\ x\ hours.[/tex]

Distance covered by Karissa:

[tex]Speed=12\ mph\\\\Time=x\ hours\\\\Distance=speed\times time\\\\Distance=12\times x\\\\Distance=12x[/tex]

Distance covered by Erin:

[tex]Speed=9\ mph\\\\Time=x\ hours\\\\Distance=speed\times time\\\\Distance=9\times x\\\\Distance=9x[/tex]

Total distance:

[tex]Total\ distance=114\ miles\\\\Total\ distance=Distance\ covered\ by\ Karissa+Distance\ covered\ by\ Erin\\\\Total\ distance=12x+9x\\\\12x+9x=114\\\\21x=114\\\\x=\frac{114}{21}\\\\x=5.43\ hours[/tex]


Related Questions

the equivalent fraction of 2/4​

Answers

Answer:

1/2

Step-by-step explanation:

u could simplify it to 1/2 pls give brainliest answer

Answer: 1/2 and if you mean multiplying 4/8 because 2 ÷ 2 = 1 and 4 ÷ 2 = 2, and if you mean multiplying 2 • 2 = 4 and 4 • 2 = 8 so those are two answers.

Jeff has ten packages that he wants to mail. Nun identical packages weigh 2 7/8 pounds each. A tenth package weighs two times as much of one the nine packages. How many ponds do all packages weigh?

Answers

Answer:31.625

2 7/8 8 times 9 =25.875 +(2.875 times 2) =31.625

I NEED THE ANSWER ASAP PLEASE

Answers

72.5+5.6= 78.1
78.1 degrees

What would be 49.38 rounded to tenthes

Answers

Answer:

49.4

Step-by-step explanation:

Round up, since the 8 [tex]\geq[/tex] 5

Where would you put 2 1/8th on a number line?

Answers

Answer:

See diagram and explanation

Step-by-step explanation:

A number on the right is greater than a number on the left on the number line.

Mark numbers 2 and 3 on number line (number 3 is to the right from number 2, because 3 > 2).

Divide the unit segment  between numbers 2 and 3 into 8 equal parts (this segment is the unit segment because the distance between 3 and 2 is 1).

Each such part represents [tex]\frac{1}{8}[/tex] of the segment.

Mark the number [tex]2\dfrac{1}{8}[/tex] next to the right from 2 (you have to take 2 and 1/8).

if a car is 200 inches long, and the truck is 75% longer, how long is the truck

Answers

Your answer will be 350 inches long

If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nearest tenth if necessary

Answers

Answer:

The lengths of side A is 22.4 and B is 11.9.

Step-by-step explanation:

Given:

If side A is twice as long as B and C is 25 using the Pythagorean Theorem.

Now, to find the lengths of side A and B.

Let the side B be [tex]x.[/tex]

So, the side A be [tex]2x.[/tex]

Side C = 25.

Now, to solve by using Pythagorean Theorem:

A² + B² = C²

[tex](2x)^2+(x)^2=(25)^2[/tex]

[tex]4x^2+x^2=625[/tex]

[tex]5x^2=625[/tex]

Dividing both sides by 5 we get:

[tex]x^2=125[/tex]

Using square root on both sides we get:

[tex]x=11.18.[/tex]

B rounding to the nearest tenth =  11.9.

Now, to get A by substituting the value of [tex]x[/tex]:

[tex]2x\\=2\times 11.18\\=22.36.[/tex]

A rounding to the nearest tenth =  22.4.

Therefore, the lengths of side A is 22.4 and B is 11.9.

which has gradient -1/2 and cuts the y-axis at 4​

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{2}[/tex] and c = 4, thus

y = - [tex]\frac{1}{2}[/tex] x + 4 ← equation of line

X3-8y3+27+18xy factorise

Answers

Answer:

this expression is not factorable

Step-by-step explanation:

9. Martika says factors and multiples are

related. Use the equation 6 X 7 = 42

to describe the relationship between

factors and multiples.

BBOUD SOTTO

Answers

Answer:

So the factors and multiples of 42 are 1, 2, 3, 6, 7, 14, 21, 42

Step-by-step explanation:

Factors are what you can multiply to get a number and a multiples are what you get after multiplication. We can determine the factors of 42. The multiples of 42 are:

[tex]1 x 42= 42[/tex]

[tex]2 x 21= 42[/tex]

[tex]3x 14 = 42[/tex]

[tex]6 x 7 = 42[/tex]

So the factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The multiples of 42 are 1,2,3,4,5,6 etc

So common multiples and factors are 1, 2, 3, 6, 7, 14, 21, 42

Final answer:

In the equation 6 X 7 = 42, 6 and 7 are factors and 42 is the multiple. Factors are numbers that can be exactly multiplied to get another number, while a multiple is a number that can be divided evenly by another number. Hence, the relationship between factors and multiples is inherently interconnected.

Explanation:

In the equation 6 X 7 = 42, 6 and 7 are the factors, and 42 is the multiple. Factors are numbers you can exactly multiply together to get a another number, in this case 6 and 7 are factors of 42 because when multiplied together, they equal 42. On the other hand, a multiple is a number that can be divided by another number without leaving a remainder, so 42 can be evenly divided by 6 or 7, making it a multiple of those numbers. The relationship between factors and multiples can be seen as two sides of the same coin - factors are what you multiply together to get a multiple.

Learn more about Factors and Multiples here:

https://brainly.com/question/14410356

#SPJ3

Select the correct answer.
The temperature on Saturday was 2°C. On Sunday, it became 4°C colder. What was the temperature on Sunday?
7O

Answers

Answer:

6C

Step-by-step explanation:

Final answer:

By subtracting the 4°C decrease from the initial temperature of 2°C, it is determined that the temperature on Sunday was -2°C.

Explanation:

The question involves a basic mathematics operation related to temperature changes. The temperature on Saturday was 2°C, and on Sunday, it became 4°C colder. To find the temperature on Sunday, you simply need to subtract 4°C from Saturday's temperature:

Saturday's temperature: 2°C

Temperature decrease: 4°C

Sunday's temperature: 2°C - 4°C = -2°C

Thus, the temperature on Sunday was -2°C.

3(-3a-1) what is the answer if you answer it correct you get 10 points​

Answers

Answer: the best answer is 3(-3a-1)

Step-by-step explanation:

Oh the other side of the balance is 4 oz and another 4 oz and on the other side is 8 oz. <— To help you find out the answer. Please I’d like some help?

Answers

Answer:
11

Explanation:
4+7 = 11
And we are trying to make it 0.
So we need to add 11 more on the other side to make it even.

Which best describes the range of the function f(x) = 2(one-fourth) Superscript x after it has been reflected over the y-axis?

all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0

Answers

"All real numbers greater than 0" best describes the range of the function after it has been reflected over the y-axis ⇒ 3rd answer

Step-by-step explanation:

The form of the exponential function is [tex]f(x)=a(b)^{x}[/tex], where

a is the initial value (value f(x) at x = 0)b is the growth/decay factorThe domain of the function is {x : x ∈ R} (all real numbers)The range of the function is {y : y > 0} (all positive real numbers)

∵ [tex]f(x)=2(\frac{1}{4})^{x}[/tex]

- Compare it with the form above

∴ a = 2 ⇒ initial value

∴ b = [tex]\frac{1}{4}[/tex] ⇒ decay factor because its between 0 and 1

∵ The domain of the function is the values of x

∴ The domain of the function is {x : x ∈ R} ⇒ all real numbers

∵ The range of the function is values of y

∴ The range of the function is {y : y > 0}

∵ Reflection over the y-axis change the sign of x

∴ The image of f(x) is [tex]y=2(\frac{1}{4})^{-x}[/tex]

- That means, all x-coordinates of the points on the graph

   opposite in signs, but that does not effect the domain

   because the domain is all real numbers

∵ There is no change of the sign of y

- That means reflection over y-axis does not effect the range

∴ The range of the function after reflection is the same as the

    range of f(x)

∴ The range of the image of f(x) is {y : y > 0}

"All real numbers greater than 0" best describes the range of the function after it has been reflected over the y-axis

Learn more:

You can learn more about the reflection in brainly.com/question/4057490

#LearnwithBrainly

Answer:

C

Step-by-step explanation:

edge 2020


Factor the expression. 36y2 – 84y – 147


(2y + 7)(6y – 7)

3(2y + 7)(6y + 7)

3(2y – 7)(6y + 7)

(2y – 7)(18y + 21)

Answers

Answer:

1) 3 (6y+7) (2y−7)

2) 12y2+28y−49

3) 36y2+168y+147

4) 36y2−84y−147

5) 3(6y+7)(2y−7)

find the greatest common factor of 3y^2 -4y

Answers

Answer:

y.

Step-by-step explanation:

y  is common to both terms so the GCF is y.

Factoring we get:

y(3y - 4).

Answer:

Step-by-step explanation:

3y^2 = 3 * y *y

4 y = 4 * y

GCF = y

3y^2 -4y = y*(3y - 4)

Anna departs from the city A with coordinates (1, 1) towards city B with coordinates (9, 11). At the same time, Mary departs from city B towards city A. Find the coordinates of point C, where Anna and Mary meet, if the ratio of Anna to Mary's rates is 3:5 respsectivley

Answers

Answer:

  C = (4, 4.75)

Step-by-step explanation:

Point C will divide segment AB into the ratio 3:5, matching the respective rates of travel. Then the location of point C can be found from ...

  C = (5A +3B)/(3+5)

  C = (5(1, 1) +3(9, 11))/8 = (5 +27, 5 +33)/8 = (4, 4.75)

The point where Anna and Mary meet is (4, 4.75).

Answer:

4, 4.75

Step-by-step explanation:

A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the probability that one bead of each colour is taken? You must show your working

Answers

Final answer:

To determine the probability of drawing one red bead and one white bead from a bag, calculate the probability of each sequence (red then white, white then red) occurring and add them together. The result is that the probability that one bead of each color is taken is 4/11.

Explanation:

To find the probability that one red bead and one white bead are taken from a bag containing 7 red beads and 4 white beads (11 beads in total), we follow these steps:

Calculate the probability of drawing one red bead first and then one white bead.

Calculate the probability of drawing one white bead first and then one red bead.

Add the probabilities from step 1 and 2 together to find the total probability of drawing one bead of each color.

The probability of drawing one red bead first is 7/11 since there are 7 red beads out of 11 total beads.

After drawing a red bead, there are now 10 beads left in the bag, with 4 being white. So, the probability of drawing one white bead next is 4/10.

Multiplying these two probabilities gives us the probability of this particular sequence occurring: (7/11) * (4/10) = 28/110, which reduces to 2/11 when simplified.

We do a similar calculation for the reverse sequence, where a white bead is drawn first followed by a red bead. The probability for the first white bead is 4/11, and for the red bead after that, it's 7/10 since one white bead is already taken.

Multiplying these probabilities gives us: (4/11) * (7/10) = 28/110, which also simplifies to 2/11.

Finally, to find the total probability we add the probabilities of both sequences together: 2/11 + 2/11 = 4/11.

So, the probability that one bead of each color is taken is 4/11.

the altimeter in a plane

Answers


Conventional aircraft altimeters work by measuring the atmospheric pressure at the airplane's flight altitude and comparing it to a preset pressure value. ... The appearance of altimeters varies, but a common one is known as a three-point altimeter.

In a class, 8/9 of the students have blue eyes.
If 32 students have blue eyes, how many students are in the class in total?

Answers

32/8=4
4x9=36
36 students total

Is a 24 square centimeter rectangle larger than a 24 square inch rectangle?

Answers

Answer:

No, a 24 square centimeter rectangle is smaller than a 24 square inch rectangle

Step-by-step explanation:

we know that

[tex]1\ in=2.54\ cm[/tex]

so

Convert in^2 to cm^2

[tex]24\ in^2=24(2.54)^2=154.8\ cm^2[/tex]

so

[tex]24\ cm^2 < 154.8\ cm^2[/tex]

therefore

[tex]24\ cm^2 < 24\ in^2[/tex]

A 24 square inch rectangle is larger than a 24 square centimeter rectangle due to unit conversion.

No, a 24 square inch rectangle is larger than a 24 square centimeter rectangle.

To compare rectangles of different units, we need to convert the units to the same measurement. Since 1 inch is equal to 2.54 centimeters, a square inch is larger than a square centimeter.

Therefore, a 24 square inch rectangle has a greater area than a 24 square centimeter rectangle.

The ingredients for making chocolate cookies are 3/4 cup of brown sugar, 1/4 cup of white sugar, 3/2 cup of butter, 11/8 cup of flour, and 5/2 cup of chocolate chips. What is the total number of cups of ingredients needed in making chocolate cookies?

Answers

Answer:

[tex]\frac{51}{8}[/tex] cups.

Step-by-step explanation:

It is given that the ingredients for making chocolate cookies are [tex]\frac{3}{4}[/tex] cup of brown sugar, [tex]\frac{1}{4}[/tex] cup of white sugar, [tex]\frac{3}{2}[/tex] cup of butter, [tex]\frac{11}{8}[/tex] cup of flour, and [tex]\frac{5}{2}[/tex] cup of chocolate chips.

Now, we have to calculate the total number of cups of ingredients needed in making chocolate cookies.

So, it will be given by

[tex](\frac{3}{4} + \frac{1}{4} + \frac{3}{2} + \frac{11}{8} + \frac{5}{2})[/tex] cups

= [tex]\frac{3 \times 2 + 1 \times 2 + 3 \times 4 + 11 + 5 \times 4}{8}[/tex] cups

= [tex]\frac{51}{8}[/tex] cups. (Answer)

A turboprop plane flying with the wind flew 400 mi in 4 h. Flying against the wind, the plane required 5 h to travel the same distance. Find the rate of the plane in calm air and the rate of the wind.

Answers

Answer:

Rate of the plane in calm air is  90 miles/hr and rate of the wind of wind is 10 miles/hr

Step-by-step explanation:

Average speed of plane in with wind = 400 /4 = 100 miles/hr

Average speed of plane against wind = 400/5 = 80 miles/hr

Consider the speed of plane in wind be  x miles/hr and speed of plane against wind  be  y  miles/hr

As such speed of plane in wind would be  x + y miles/hr and speed of plane  against wind would be  x - y miles/hr . i.e

x+y = 100

x-y = 80

by solving these two equation, we get

2x=180

x= 90 miles/hr

y=100-90

y= 10 miles/hr

hence, Rate of the plane in calm air is  90 miles/hr and rate of the wind of wind is 10 miles/hr

Solve the following system of equations graphically.



x = -5

y = -6



What is the solution set?
Ø
{(-5, -6)}
{(-6, -5)}

Answers

Answer: The right answer is [{-5,-6]}

Explanation: I got it right on my test

Answer:

[{-5,-6]}

Step-by-step explanation:

(4,0) reflected across x axis and y axis

Answers

Answer:

The x axis is horizontal (sideways) while the y axis is vertical (up and down)

Step-by-step explanation:

A math teacher graded 45 problems in 3/5 of an hour. At that rate, how many problems can she grade in one hour

Answers

Answer:

75

Step-by-step explanation:

45*1/3=15

15*5=75

Answer: 75 problems

Step-by-step explanation:

3/5 of an hour is the same as 3/5 x one hour.

one hour is the same as 60 minutes , this means that 3/5 of an hour is the same as :

3/5 x 60 = 36 minutes

This means that , the teacher graded 45 problems in 36 minutes. then in 1 minutes ;

The teacher will grade 45/36 problems

so in 60 minutes ;

the teacher will grade 45/36 x 60 = 75 problems

A circle has a diameter of 7.6feet. Which measurement is the closest to the circumference of the circle in feet.​

Answers

Answer:

23.9

Step-by-step explanation:

A circle has a diameter of 7.6 feet. Which measurement is closest to the circumference of the circle in feet?

TRUST ME

28v^3+16v^2-21v-12 factor by group please

Answers

The factor of [tex]28v^3+16v^2-21v-12[/tex] = [tex](7v+4)(2v+\sqrt{3})(2v+\sqrt{3})[/tex] or [tex](7v+4)(4v^2-3)[/tex]

Step-by-step explanation:

The given equation:

[tex]28v^3+16v^2-21v-12[/tex]

To find, the factors of [tex]28v^3+16v^2-21v-12[/tex] = ?

∴ [tex]28v^3+16v^2-21v-12[/tex]

[tex]=(4\times 7)v^3+(4\times 4)v^2-(3\times 7)v-(3\times 4)[/tex]

= [tex]4v^2(7v+4)-3(7v+4)[/tex]

= [tex](7v+4)(4v^2-3)[/tex]

= [tex](7v+4)[(2v)^2-\sqrt{3}^2][/tex]

Using the algebraic identity,

[tex]a^{2}-b^{2}=(a+b)(a-b)[/tex]

= [tex](7v+4)(2v+\sqrt{3})(2v+\sqrt{3})[/tex]

∴ The factor of [tex]28v^3+16v^2-21v-12[/tex] = [tex](7v+4)(2v+\sqrt{3})(2v+\sqrt{3})[/tex] or [tex](7v+4)(4v^2-3)[/tex]


Which expression is equivalent to -2(3a + 6b) + (4a - 2b)?
A) -2(a + 7b)
B) -2(a - 7b)
C) 2(a + 7b)
D) 2(a - 7b)

Answers

Answer:

Option A) -2(a+7b) is correct

Therefore -2(3a+6b)+(4a-2b)=-2(a+7b)

The equivalent expression to the given expression is -2(a+7b)

Step-by-step explanation:

Given expression is -2(3a+6b)+(4a-2b)

To find the equivalent expression to the given expression :

-2(3a+6b)+(4a-2b)

=-2(3a)-2(6b)+4a-2b ( apply the distributive property a(x+y)=ax+ay )

=-6a-12b+4a-2b

=-2a-14b ( adding the like terms )

=-2(a+7b) ( taking common term -2 outside  )

Therefore -2(3a+6b)+(4a-2b)=-2(a+7b)

The equivalent expression to the given expression is -2(a+7b)

Therefore option A) -2(a+7b) is correct

so the right option is A.

HOPE THIS WILL HELP U.

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Tickets to the garden show cost $6.75 for adults and $3.75 for children. By rounding to the nearest whole dollar, find an estimate of the cost for a family with 2 adults and 3 children to visit the garden show. A. $21 B. $23 C. $24 D. $26

Answers

Answer:

$26

Step-by-step explanation:

$6.75 - $7

$3.75 - $4

2 adults = 7x2= $14

3 children = 4x3= $12

$14 + $12 = $26

The answer is D. $26.

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how many different subtypes of ADHD are there Joe's annual income has been increasing in the same dollar amount. The first year his income was $15,200, and the 4th year his income was $17,900. In which year was his income $19,700? Which of the following is the name of the process scientists use to gainknowledge about the physical world? Which of the following is a result of gravitational forces in the Solar System? A. the radiation given off by Jupiter B. Saturn is further away from the Sun than Earth C. the difference in surface temperature on each of the planets D. the orbit of moons around their planets in the Solar system Dr. Garonski is testing his hypothesis that people use hand gestures more in communication when emotionally aroused than when calm. When his results were reviewed, it was noted that Dr. Garonski sometimes missed seeing small gestures in the calm condition. This is an example of the __________. A code that hovers our behaviors in any certain situation is known as our code of what? Does the bowling ball have more potential energy or kinetic energy as it sit on top of the building? Why? does anyone know the answer ? hinking about the constitutions of Texas and the United States, both are based upon which fundamental idea? The population in Lowell Massachusetts goes from 200 in 1820 to nearly _____________in 15 years(1835). The government could help solve the crisis if the leaders united.Which of these will make the sentence conditional in mood?A.unitedB.solveC.helpD.could Why was the class apprehensive when they found out that their new teacher, Miss Caroline was from North Alabama specifically Winston County? This document promoted the policy of containment and resist communism.Roosevelt doctrineTruman doctrineParis Peace AccordsWarsaw Pact What does ""electron density in a particular tiny volume of space"" mean? A citizens group supporting a new water bottling plant in Citizen City has produced an ad to be run on local TV. Which of the following is most likely to be heard in this ad?A) The new bottling plant will be good for our natural resources.B) The new bottling plant will bring new jobs and new funds for our schools.C) The new bottling plant will give shoppers more choices at the store.D) The new bottling plant will get many tax breaks and cost us in the long run. A light rope is attached to a block with mass 4.10 kg that rests on a frictionless, horizontal surface. The horizontal rope passes over a frictionless, massless pulley, and a block with mass m is suspended from the other end. When the blocks are released, the tension in the rope is 14.7 N.a. Draw two free-body diagrams: one for each block. b. What is the acceleration of either block? c. Find m. d. How does the tension compare to the weight of the hanging block? Sidneys made $38 more than 3 times Caseys weekly salary. If x represents Caseys weekly salary , write an expression for sidneys weekly salary The IRS promulgates several interpretive rules about corporate tax compliance, particularly for executive compensation. The rules prove to be highly controversial and are a result of misconduct on the part of the head of the IRS. Which of the following statements is correct? a. The IRS is an independent agency, and the president can fire the head of any independent agency. b. The IRS is an executive agency, and the president can fire the head of any executive agency. c. Congress can fire the head of any administrative agency. d. The president can fire the head of any administrative agency. Which of the following is a new feature in Windows Server 2016 that enables block-level data replication to occur automatically between datacenters located across the hall or on the opposite side of the world?a. Windows Containersb. Storage Spaces Directc. Storage Replicad. Storage Spaces Your car's blinker has a period of 0.85 s and at the moment is in phase with a faster blinker on the car in front of you. They drift out of phase but then get back in phase after 16 s. What is the period of the other car's blinker in s?