Two sisters have decided to watch all the episodes of a popular TV show on DVD. Annie has already watched 4 episodes and will continue to watch the show at a rate of 1 episode per day. Abby, who hasn't yet seen the show, will start watching 3 episodes per day. Once the two sisters get to the point where they have watched the same number of episodes, they plan to finish the series together. How long will that take?

Answers

Answer 1

Answer:

2 days

Step-by-step explanation:

Assume that Annie and Abby watched the same number of episodes in [tex]t[/tex] days.

Number of episodes watched by Annie [tex]=4+1(t)=4+t[/tex]

Number of episodes watched by Abby [tex]=3t[/tex]

[tex]4+t=3t\\4=3t-t\\4=2t\\t=2[/tex]

So,

Annie and Abby watched the same number of episodes in [tex]2[/tex] days


Related Questions

A rectangular fish tank has a base that is 8 inches
by 7 inches. How much water will it take to fill the
tank to a depth of 5 inches?
A 262 cubic inches
B 779 cubic inches
C 20 cubic inches
D280 cubic inches

Answers

Answer:

D

Step-by-step explanation:

8x7x5= 280

What do I do next? I’m confused.

Answers

15 because it’s 3 times the actual amount

S is the centroid of triangle NQL. What is the length of NR? 4 units 8 units 36 units 48 units

Answers

Answer: 36 units

Step-by-step explanation:

Just answered it

what is the number if 50% of 25% of the number is 96

Answers

Answer:

12

Step-by-step explanation:

the number is 96

hence,

25% of 96=

25/100*96/1

=24

50% of 24=

50/100*24/1=

12

it also possible that you're to sum them,but since you were not asked for the sum of the number the answer is 12.

Answer:

768

Step-by-step explanation:

1. Try converting percentage into fractions and simplify them:

50%*25*n=96

of=multiplication

1/4*1/2*n=96

2. Multiply the fractions:

1/4*1/2=1/8

1/8*n=96

Other people say "Can you finish it?", but if you don't know, I'll finish it.

96*8=768

Therefore, the answer is 768.

Hi Heyyyy please help me with this

Answers

Answer:

12 feet

Step-by-step explanation:

Since you place the ladder on TOP of the building, the bottom of the ladder would be at the top of the building, and the building is 12 feet high

Priya is riding at a constant speed of 12 miles per hour. Write an expression that shows how many miles Priya has gone after Han has been riding for t hours.

Answers

Answer:

Total distance cover = 12t miles

Step-by-step explanation:

Given:

Priya's speed = 12 miles per hour

Total time taken = t hours

Find:

Total distance cover

Computation:

Distance = speed x time

Total distance cover = 12 x t

Total distance cover = 12t miles

Se desea construir una rampa para alcanzar una altura de 0,75 metros. Si el ángulo de inclinación es de 5°.¿A qué distancia de la entrada debe comenzar la rampa?

Answers

Responder:

Los 8.57m

Explicación paso a paso:

La configuración será un triángulo rectángulo donde la distancia de la rampa a la entrada es el lado de la base (adyacente)

Dado

La altura de la rampa (opuesta) = 0,75 m

Ange de elevación = 5 °

Según TOA;

Tan theta = opp / adj

Tantheta = 0,75 / adj

Bronceado 5 ° = 0,75 / adj

adj = 0,75 / tan5 °

adj = 0,75 / 0,08749

adj = 8.57m

Por lo tanto, la rampa estará a 8.57m de la entrada.

Solve for 1/3(8x-5)-4=-3

Answers

Let's solve your equation step-by-step.

13(8x−5)−4=−3

Step 1: Simplify both sides of the equation.

13(8x−5)−4=−3

(13)(8x)+(13)(−5)+−4=−3 (Distribute)

83x+−53+−4=−3

(83x)+(−53+−4)=−3 (Combine Like Terms)

83x+−173=−3

83x+−173=−3

Step 2: Add 17/3 to both sides.

83x+−173+173=−3+173

83x=83

Step 3: Multiply both sides by 3/8.

(38)*(83x)=(38)*(83)

X = 1

Answer: x = 1

Step-by-step explanation

8 - 4/5f = -14 -2f

Please help this is the only one I need help on deadline is 11:59 as usual.

Answers

40 - 4f = -70 - 10f
6f = -110
f = -55/3
Add 4/5f to -2f and then add the 14 to the 8 and then divide whatever u get on both sides when finding f

Find the quotient: 3/5 ÷ 1 1/2 pls ASAP correct answer only thank u if u help

Answers

The answer would be 0.4 in decimal form

Answer:

6/55

Step-by-step explanation:

In these type of problems you mus keep, change, flip

[tex]\frac{3}{5} * \frac{2}{11}[/tex]

Now, multiply across

[tex]3*2[/tex]   /   [tex]5*11[/tex]   =  [tex]\frac{6}{55}[/tex]

Hope this helps :)

A quantity with an initial value of 840 decays continuously at a rate of 5% per day. What is the value of the quantity after 10 weeks, to the nearest hundredth?

Answers

Answer:

25.37

Step-by-step explanation:

Write a function:

f(t)=840e^{rt}

f(t)=840e

rt

Continuously uses Pe^(rt)

-0.05

r: decays 5%→−0.05

per day

f(t)=840e^{-0.05t}

f(t)=840e

−0.05t

(where t is in days)

10 weeks→10⋅7→70 days

There are 7 days in a week

Plug in t=70

f(70)=840e^{-0.05(70)}

f(70)=840e

−0.05(70)

25.3658020747

≈25.37

Which statement is true about this argument?


Premises:

If a quadrilateral is a square, then the quadrilateral has four right angles.

Quadrilateral JKLM has four right angles.


Conclusion:

Quadrilateral JKLM is a square.




The argument is not valid because the conclusion does not follow from the premises.


The argument is not valid because the premises are not true.


The argument is valid by the law of detachment.


The argument is valid by the law of syllogism.

Answers

Answer: The argument is valid by the law of detachment

Step-by-step explanation:

The law of detachment simply states that when the hypothesis is true, then the conclusion must also be true.

In this case, the argument is valid since the conclusion that "Quadrilateral JKLM is a square" follows from the argument that "a quadrilateral is a square, then the quadrilateral has four right angles".

The law of detachment is expressed here.

Answer:

This argument is not valid because the conclusion does not follow from the premises.

Step-by-step explanation:

test complete and It is not the Argument is valid by the law of detachment.

what is the rate of change of y=2x-5

Answers

I hope this helps
Answer:

Ramauri is thinking of a mystery number. He cuts it in half then takes away 9. The result is -5. What is the mystery number

Answers

Answer:

8

Step-by-step explanation:

mystery number= x

he divdes x by 2 and then subtracts 9 and gets -5. reverse the order to find x.

-5+9 which is 4 times 2 which is 8. x is 8

-3 = -15 -2(0 - 1) - 30

Answers

Answer:

Is there's supposed to be x or somethin... well I got  -40

Step-by-step explanation:

-3=-15 - 0+ 2 - 30

-3=-15+2-30

-3=-45+2

-3=-43

+3   +3

___________-

0=-40

Hope this helps :D

Consider two forces of 17 and 42 pounds both acting in the horizontal direction on a single object.

Find the Resultant force acting on the object.

A. Magnitude

B. Direction angles

Answers

Answer:

59,0

Step-by-step explanation:

Trust me also on edge

The Magnitude of forces is 59 pounds and Direction angles of forces is  0

What is magnitude of two forces?

The magnitude of force refers to the sum of all the forces that are acting on an object. If all the forces are acting in the same direction, then the magnitude of the force increases. If the forces are acting on an object in different directions, then the magnitude of the force decreases.

What is direction of angles of two forces?

To find the resultant force subtract the magnitude of the smaller force from the magnitude of the larger force. The direction of the resultant force is in the same direction as the larger force.

According to the question

Two forces of 17 and 42 pounds both acting in the horizontal direction on a single object.

i.e,

F1 = 17 pounds

F2 = 42 pounds

Now,

As, magnitude of force refers to the sum of all the forces

Direction is also same

Magnitude : 17 + 42 = 59 pounds

Now,

The Direction angles : 0

As they are having same direction so angle will be 0 .

Hence, The Magnitude of forces is 59 pounds and Direction angles of forces is  0

To know more about  Magnitude of forces and Direction angles of forces here:

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John has an object suspened in the air it has a mass of 50kg and is 50 meters above the ground calcuate the objcects ising potential energy

Answers

Answer: John has an object suspended in the air. It has a mass of 50 kilograms and is 50 meters above the ground. Calculate the object's potential energy.

Step-by-step explanation:

Calculate the potential energy for a 2 kg basketball dropping from a height of 3.5 meters with a velocity of 9.8 m/sec².

Please help me
it means a lot

Answers

1. 5
2. 5
3. 10
4. 25
5. -11

6.1/4
7. 1
8. -1

Which statements are correct? Check all that apply. The total number of students is < 160. The total number of students is > 160. The percent as a part-to-whole ratio is StartFraction 10 Over 100 EndFraction. The percent as a part-to-whole ratio is StartFraction 160 Over 100 EndFraction There are 1,600 students in the school. There are 250 students in the school.

Answers

Answer:

The percent as a part to whole ratio is Start Fraction 10 over 100 end fraction

The percent as a part to whole ratio is start fraction 160 over 100 end fraction.

There are 250 students in the school

Step-by-step explanation:

In the Juniour park school there are 160 students and out of these only 10 percent students play musical instruments. The fraction are start with 10 and end 100 is the correct. The ration of the students playing the musical instruments is 10 percents.

Answer:

B C E

Step-by-step explanation:

A scientist is studying the growth of a radicus plant. The plant has an initial height of 20cm and grows at a rate of 4% monthly. Part A: Write an equation to model the growth of the plant. Part B: Find the height of the plant after 5 months.

Answers

Step-by-step explanation:

A) Given the initial height of plant = 20cm

Percent increase monthly = 4%

increment after x month = (4% of 20)x

increment after x month = (0.04*20)x

increment after x month = 0.8x

The height after x month = initial height + increment

The height after x month = 20 + 0.8x

Hence an equation that model the growth of the plant is 20+0.8x

B) To get the height of the plant after 5 months, we will substitute x = 5 into the modeled equation in A as shown;

H(x) = 20+0.8x

H(5) = 20 +0.8(5)

H(5) = 20+4

H(5) = 24cm

hence the height of the plant after 5minths is 24cm


Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?

Answers

Answer:

The x-intercepts of the function are [tex]x = 3[/tex] and [tex]x = -5[/tex].

Step-by-step explanation:

We are given the function [tex]\displaystyle f(x) = x^2 + 2x - 15[/tex].

In order to find the x-intercepts of the equation, we need to solve this quadratic. We can use factoring methods to solve it.

The parent function for a quadratic is [tex]f(x) = ax^2 + bx + c = 0[/tex].

We can use this information to determine what factoring technique we want to use.

There are several different methods, including using the quadratic formula, but because this is easily factorable, we can avoid using it.

We see that our a is equal to 1 (there is no coefficient in front of x²), so we can use the easier of the techniques:

Find what factors of c add up to give you b.Add to x if positive or subtract from x if negative and set it equal to zero.Solve for x - these are your x-intercepts.

Therefore, let's determine what our c is: 15.

Now, let's label the factors for 15.

15 cannot be divided by 2 evenly.15 can be divided by 3 evenly: 15/3 = 515 cannot be divided by 4 evenly.15 can be divided by 5 evenly: 15/5 = 3

Therefore, our two factors are 3 and 5 since they cannot be broken down any further (they are prime numbers - we just performed prime factorization).

Now, we need to pay attention to the sign for c. It's negative, so one of our factors needs to be negative. Therefore, we can test this out:

[tex]5 + -3 = 2[/tex][tex]-5 + 3 = -2[/tex]

Now, we check for which one matches the sign for b. This is positive 2, so our two factors are 5 and -3.

Finally, to factor, we add or subtract the factors from x depending on the sign. If the factor is positive, we add it. If the factor is negative, we subtract it. Therefore, we can set up our equations.

[tex]x + 5 = 0\\\\x = -5[/tex]

[tex]x - 3 = 0\\\\x = 3[/tex]

Therefore, for when x = 3 or x = -5, the line crosses the x-axis. These are the x-intercepts of the function.

Our answers are x = -5 and x = 3.

A triangle has vertices at L(2, 2), M(4, 4), and N(1, 6). The triangle is transformed according to the rule R0, 180°.

Which statements are true regarding the transformation? Select three options.

The rule for the transformation is (x, y) → (–x, –y).
The coordinates of L' are (–2,–2).
The coordinates of M' are (–4,4).
The coordinates of N' are (6,–1).
The coordinates of N' are (–1,–6).

Answers

Answer:

A,B,E

Step-by-step explanation:

I took the test on edge

The statements that are true regarding the transformation are:

The rule for the transformation is (x, y) → (–x, –y).

The coordinates of L' are (–2,–2).

The coordinates of N' are (–1,–6).

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Since, A rotation of a point on the coordinate system for 180 degrees about the origin results is,

⇒ (x, y) → (-x, -y).

Given that;

The coordinate of L is (2, 2),

Then, the coordinates of L' is (-2, -2).

And, the coordinates of N is (1, 6),

then the coordinate of N' is, (-1. -6)

Therefore, the statements that are true regarding the transformation are:

The rule for the transformation is (x, y) → (–x, –y).

The coordinates of L' are (–2,–2).

The coordinates of N' are (–1,–6).

Learn more about the transformation visit:

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what is the equation of this graphed Line enter your answer in slope-intercept form in the Box ​

Answers

Answer:

y = -1/3x - 5

Step-by-step explanation:

Given line with points (-6, -3) and (6, -7)

Slope intercept form:

y = mx + b

We can see on the graph that y-intercept is b = -5

The slope is found using slope formula:

m = (y2 - y1)/(x2 - x1)m = (-7 - (-3))/(6 -(-6)) = -4/12 = -1/3

Th equation is:

y = -1/3x - 5

Which property is used when multiplying polynomials?
A. inverse
B. reflexive
C. transitive
D. distributive

Answers

Answer:

distributive property

Step-by-step explanation:

hope i helped.

On Friday, Laura made $25 at her garage sale that her neighborhood was having. On Saturday, Laura had a 300% increase in profit than she did on Friday. How much money did Laura make on

Answers

Answer:

75$

Step-by-step explanation:

help with 19 and 20!!!

Answers

Right angle is correct sorry I’m late

At Brunswick Elementary school, 2/5 of six-grade students have at least one pet. If school has 181 sixth graders, about how many sixth graders own pets?

Answers

Answer: 72.4

Step-by-step explanation:

Fraction of six-grade students that have at least one pet = 2/5

Number of sixth graders at Brunswick Elementary school = 181

The number of sixth graders that own own pets will be:

= 2/5 × 181

= 72.4

The sum of the three numbers is 152. The second number is 8 more than the first. The third number is 4 times first. What are the numbers?

Answers

Answer:

X=24 Y=32 Z=96

Step-by-step explanation:

Answer:

the 1st=24

the 2nd=32

the 3rd=96

HELP ME!!!

Walgreens is selling containers for storing leftovers. There are 20 pieces in the packaging and it costs $30 total. What is the price per piece?

Answers

30 divided by 20 is 1.5
So $1.50 a piece
Answer:
$1.5 per piece
Explanation
30÷20=1.5

The shape is composed of three squares and two semicircles. Select all the expressions that correctly calculate the perimeter of the shape. #2 Group of answer choices 80+20π 40+20π 10+10+10π+10+10+10π 120+20π 300+100π

Answers

Answer:

120 + 20π

Step-by-step explanation:

Find the image of the question attached.

For the square;

Perimeter of a square = 4L

L is the side length of the square

From the diagram, L = 10

Perimeter of a square = 4(10) = 40

Perimeter of 3 squares = 3(40) = 120

For the semicircles:

Perimeter of a semicircle = 2πr/2 = πr

From the diagram;

L = radius of the semicircle = 10

Perimeter of a semicircle = π(10)

Perimeter of a semicircle = 10π

Perimeter of the two semicircles = 2(10π) = 20π

perimeter of the shape = perimeter of 3squares + 2 semicircles

perimeter of the shape = 120 + 20π

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