Mrs. Reyes had some apples. If she gave each student 3 apples, she would have 2 apples left have. If she gave each students 4 apples each she would be 2 short. How many apples did she have.

Answers

Answer 1

Answer:

14 apples

Step-by-step explanation:

Let

Number of apples = aNumber of students = s

According to question we have equations

a = 3s + 2a = 4s - 2

Find the number of students by substitution

3s + 2 = 4s - 24s - 3s = 2 + 2s = 4

Find the number of apples

a = 3*4 + 2 = 12 + 2 = 14
Answer 2

Answer:

14 apples

Step-by-step explanation:

Let x = number of students

Let y = total number of apples

Create a system of equations with the given information.

Equation 1

If she gave each student 3 apples, she would have 2 apples left:

⇒ y - 3x = 2

Equation 2

If she gave each students 4 apples each she would be 2 short:

⇒ y - 4x = -2

Rewrite Equation 1 to make y the subject:

⇒ y = 2 + 3x

Substitute this into Equation 2 and solve for x:

⇒ (2 + 3x) - 4x = -2

⇒ 2 + 3x - 4x = -2

⇒ 2 - x = -2

⇒ -x = -4

⇒ x = 4

Substitute the found value of x into the rewritten Equation 1 and solve for y:

⇒ y = 2 + 3(4)

⇒ y = 2 + 12

⇒ y = 14

Therefore, Mrs Reyes had 14 apples.


Related Questions

work out
3/7 + 9/11
Give your answer as an improper fraction

Answers

Answer:

60/77 the answer is not able to be an improper fraction

Step-by-step explanation:

3/7+9/11

33/77+27/77

60/77

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

There are two mystery numbers. The sum of 10 times the first number and 5 times the second number is -15. The sum of 6 times the first number and 2 times the second number is -10. What are the two numbers? please explain

Answers

Answer:

  -2 and 1

Step-by-step explanation:

The two "mystery numbers" are described by two relations. We can assign variables to those numbers, and write a system of equations that express the given relations.

__

Let x and y represent the first and second mystery numbers, respectively. The first relation tells us ...

  10x +5y = -15

The second relation tells us ...

  6x +2y = -10

We can reduce both of these equations to lowest terms by factoring out the common factor of 5 from the first one and 2 from the second one:

2x +y = -33x +y = -5

__

We are told to solve this using elimination. We can eliminate the y-variable by subtracting the first equation from the second:

  (3x +y) -(2x +y) = (-5) -(-3)

  x = -2 . . . . . . . . . . simplify

  2(-2) +y = -3 . . . . substitute for y

  y = 1 . . . . . . . . . . add 4

The two numbers are -2 and 1.

Give full working and explanation
And I reward you with stars.


Answer this easy question ;-)​

Answers

Answer:

1309 marbles

Step-by-step explanation:

Kadon has 727 marbles.Simon has: 727 - 145 = 582 marbles

All together:

Kadon marbles + Simon marbles727 marbles + 582 marbles1309 marbles

Hi, I’m doing some review and I just wanted to know if I am on the right track with PEMDAS.

Answers

Answer:

yes ur on track

Step-by-step explanation:

Roger has a rope that is 3 feet long.He needs to cut it into 12 equal length pieces.How many feet loń should each piece of the rope be?

Answers

Answer:

0.25

Step-by-step explanation:

3/12 is 0.25

3 divided by 12 when simplified or reduced

The fraction 3/12 is equal to the exact decimal number.

Jina makes eight dollars for each hour of work. Write an equation to represent her total pay ‘p’ after working ‘h’ hours

Answers

Answer:

p = 8h

Step-by-step explanation:

Simple math my guy

Answer:

p=8h

Step-by-step explanation:

For each hour, she gets paid $8. So the total pay would be the number of hours multiplied by 8.

Xavier opened a savings account with a deposit of $12,000. the account earned simple interest. he did not make any additional deposits or withdrawals. at the end of 3 years, the account balance was $12,324. what is the annual interest rate on this account? question 5 options: 0.9% 1.8% 2.7% 3.6%

Answers

Answer:

0.9%

Step-by-step explanation:

I took the test

Your friend leaves your house. She later calls you on her cell phone, saying that she's been driving at 60 miles an hour directly away from you the whole time and is now 60 miles away. How long has she been gone?

Answers

Answer: 1hr

Step-by-step explanation: Distance = speed × time

Time = Distance / Speed = 60/60

Write a congruence statement for the pair of triangles shown.

Answers

Answer:

Triangle UTS is congruent to Triangle RST.

Step-by-step explanation:

When stating congruence, the corresponding angles and sides must be listed in order. In triangle uts, based on the points, the angle is U, and the side is US. This means that for the other triangle, the first point needs to be the angle, and the last one needs to be the other point for the side. This gives us Triangle UTS is congruent to triangle RST. Hope this helps!

Find the square number
5
8
15
30
36

Answers

The answer of this question is 36

find the missing number?
IF
3+4 = 19
4+5 = 29
5+ 6=41
1+9 = 19
then 1+3= ?

please help me if you know the answer ​

Answers

i think it may be 17

help me!
[tex]\frac{x}{3}+10=\frac{3x-8}{2}[/tex]

Answers

Answer:

[tex] \frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}[/tex]

hope helpful ~

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

[tex] \frac{x + 30}{3} = \frac{3x - 8}{2} [/tex]

[tex]2x + 60 = 9x - 24[/tex]

[tex]60 + 24 = 9x - 2x[/tex]

[tex]84 = 7x[/tex]

[tex]x = 12[/tex]

I hope it will be helpful

Donnie lives 3 miles from the park . He rode his bicycle from his house to the park at a constant speed of 9 miles per hour. How long did it take Donnie to get to the park?

Answers

Answer:

20 minutes, or 1/3 hour

Step-by-step explanation:

Donnie travels at 9 miles/hr.  

The relationship between speed, distance, and time is Time = Distance/Speed.  [from Distance = Speed*Time]

Time to bike 3 miles at 9 miles/hr is = (3 miles)/(9 miles/hr) = (1/3) hr

It took 1/3 hour, or 20 minutes, to bike the three miles, with no stops for soda and hot dog.

need it ASAP If a graph shows intersecting lines that represent a system of equations, how many solutions does that system of equations have?
Infinite solutions
No solution
Two solutions
One solution

Answers

Answer: Well, the answer really depends. But here are a few ways you can figure this out.

Step-by-step explanation:

If the two lines intersect once, then they have one solution.

If they intersect twice there are two solutions

If the lines never intersect, there are no solutions

And if the lines are identical, meaning that their equation is exactly the same. There are infinite solutions.

A solution with systems of equations is determined by the point of intersection. Your answer is the point of intersection

I hope this is helpful! : )

Answer:

no s

Step-by-step explanation:

divide the sum of 39 and product of 18 and 6 by the difference of 50 and 14​

Answers

Answer:

the imino acid found in protein strcjure

In which quadrant is the point (4, -5)? II I IV III

Answers

Answer:

Quadrant IV

Step-by-step explanation:

You can easily find in which quadrant a point lies using this key :

Quadrant I = (+ , +)Quadrant II = (- , +)Quadrant III = (-, -)Quadrant IV = (+, -)

We have the coordinate (4, -5)

x-coordinate is positivey-coordinate is negativeIt lies in Quadrant IV

Answer:

Quadrant IV

Step-by-step explanation:

The Cartesian plane is divided into 4 quadrants.

Quadrant I is the top right quadrant, where x and y are positive.

We then move in a counterclockwise direction for quadrants II, III and IV.

Therefore:

Quadrant I:  (x, y)Quadrant II: (-x, y)Quadrant III:  (-x, -y)Quadrant IV:  (x, -y)

As point (4, -5) has a positive x-value and a negative y-value, it will lie in Quadrant IV

In a concert band, the probability that a member is in the brass section is
0.50. The probability that a member plays trombone, given that he or she is in
the brass section, is 0.24.
What is the probability that a randomly selected band member is in the brass
section and plays trombone?
• A. 0.74

B. 0.12
• C. 0.26
• D. 0.48

Answers

Answer:

the answer is C. 0.26

Step-by-step explanation:

Because 0.50 + 0.24 is 0.74 and I'm guessing it goes to 1.0

So you subtract 1.0 from 0.74 to get 0.26

1. What is the center of dilation used to dilate quadrilateral WXYZ to quadrilateral W'X'Y'Z'?

Answers

Answer:

The answer that makes sence to me is C (-3, 4)

Step-by-step explanation:

name the two operations used for converting weight measurement

Answers

Answer:

grams and kilograms it got delted for some reason

Step-by-step explanation:


Can someone help me understand on how to simplify this ?

Answers

Answer:

So first you have to make all the denominaters (bottom #s) the same so we would get 12/20-8/20+5/20 and you would solve this to equal 9/20 and to divide it by 1/6 would equal 2 7/10.

Hope this helps! (pls read the comment for free gift cards)

CHOOSING BRAINLIEST PLEASE HELP

Answers

Answer:

The answer is the 2nd 1

Step-by-step explanation:

It's a basic graph

Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: A is (arithmetic sequence)

and D is 1 2 3 4 5 6 7

Unfortunately, I only know the answer to those two.

Sorry.

PLEASE HELP W PRECALC QUESTION

Answers

Answer: [tex]2tan(theta)[/tex]

Step-by-step explanation:

I know this is pre-calculus, but I want to let you know what this is actually used for in real calculus. This is a method of integration called "u-substitution" which tranforms the function of 'x' into a function of 'theta'. If we allow the value of 'x' to equal 2sec(theta), we can plug this into the function to get:

[tex]\sqrt{x^2-4} =\sqrt{(2sec(theta)^2-4} =\sqrt{4sec^2(theta)-4}[/tex]

Factor out a 4 to get:

[tex]\sqrt{4(sec^2(theta)-1)}[/tex]

Take the square root of 4 to get a 2 on the outside of the radical:

[tex]\sqrt{4(sec^2(theta)-1)}=2\sqrt{sec^2(theta)-1}[/tex]

Use the trig identity below to convert the secant to tangent:

[tex]tan^2(theta)+1=sec^2(theta)[/tex]

[tex]tan^2(theta)=sec^2(theta)-1[/tex]

Therefore our expression becomes:

[tex]2\sqrt{sec^2(theta)-1}=2\sqrt{tan^2(theta)}[/tex]

The square root of tangent is simply tangent:

[tex]2\sqrt{tan^2(theta)} =2tan(theta)[/tex]

You have a cup of lemonade. Each ice cube has a length of 2 cm, a width of 1 1/4 cm and a height of 3 cm. What is the volume of one of the ice cubes? Show your steps and Explain how you used math to come to your decision. / 100 points if you answer and ill give you brianliest and 5 stars\

Answers

L=2cmB=1-1/4=5/4cmH=3cm

So

Volume:-

[tex]\\ \rm\rightarrowtail LBH[/tex]

[tex]\\ \rm\rightarrowtail 2(5/4)(3)[/tex]

[tex]\\ \rm\rightarrowtail 5/2(3)[/tex]

[tex]\\ \rm\rightarrowtail 15/2[/tex]

[tex]\\ \rm\rightarrowtail 7.5cm^3[/tex]

You fill the entire fish tank with water. Then you dump out some of the water. The volume of the water in the tank decreases by 96 cubic inches. How deep is the water now? (The height is 12 inches, the base is 48)

Answers

Answer:

1. 6/10 – 2/5 =

Ans: 2/10, which can be reduced to 1/5.

2. If a tank is 5/8 filled with solution, how much of the tank is empty?

Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that

means 3/8 of it remains empty.

3. 1/2 x 3/5 x2/3 =

Ans: 6/30, which can be reduced to 1/5.

4. 5/9 ÷ 4/11 =

Ans: 55/36. You cannot reduce this fraction any further.

5. Convert 27/4 to a decimal.

Ans: 6.75. This answer is arrived at by dividing 4 into 27.

6. Convert 0.45 to a fraction.

Ans: 45/100, which can be reduced to 9/20.

7. 4.27 x 1.6 =

Ans: 6.832

8. 6.5 ÷ 0.8 =

Ans: 8.125

9. 12 + 4.52 + 245.621 =

Ans: 262.141

Step-by-step explanation:

I hope this helps


An event has a probability of 2/7. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)

A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain

Answers

Answer:

Less Likely

Step-by-step explanation:

A 2/7 probability means that it will happen less than half the time.

The eliminates equally likely, more likely, and certain as those are 50% or greater.

The probability is also greater than 0%, so it's not "impossible"

Therefore, the answer must be B, Less Likely.

It happens less than half the time, but can at times happen.

Hope this helps!

The solution is, Less Likely, best describe the likelihood of this event.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

An event has a probability of 2/7.

now, we get,

A 2/7 probability means that it will happen less than half the time.

The eliminates equally likely, more likely, and certain as those are 50% or greater.

The probability is also greater than 0%, so it's not "impossible"

It happens less than half the time, but can at times happen.

Therefore, the answer must be B, Less Likely.

To learn more on probability click:

brainly.com/question/11234923

#SPJ7

what us the circumference of circular ground of diameter d m ? find it.
answer:
[tex]\pi d \: m[/tex]
can you explain me how?​

Answers

Here the diameter = dm

Formula of circumference for circle: 2πr  or  πd

                                        where "d" is diameter and "r" is radius

diameter = 2(radius)

For this question:

circumference:

π(d)π(dm)πdm

If y = sin(x)
Prove that dy/dx = y cot(x)

Answers

[tex]y=sin(x)\implies \cfrac{dy}{dx}=\boxed{cos(x)} \\\\[-0.35em] ~\dotfill\\\\ ycot(x)\implies \stackrel{y}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cfrac{cos(x)}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \boxed{cos(x)}[/tex]

help me find the area please

Answers

Answer:

I'm not a hundred percent sure how to answer this one, because you need the height to solve but the other two tick marks would also be twenty because all of the sides are equal to one another.

which type of function describes her total savings after m months and why?

Answers

Answer:

A.

Step-by-step explanation:

I would advise finding the difference between 300 and 200 and 450 and 300:

[tex]300-200=100\\450-300=150[/tex]

We can eliminate C and D since she saves 100 the first month and 150 the second month.

The next step would be to find the increase every month:

[tex]\frac{Final value}{initial value}=x\\\\\frac{300}{200}=1.5 \\\\\frac{450}{300} = 1.5[/tex]

If we would write the increase as a function, we would get:

[tex]y= 1.5x[/tex]

we can check this by substituting values:

[tex]y=1.5*200\\y=300\\\\\\y=1.5*300\\y=450[/tex]

An exponential function looks like this:

[tex]y= a^x[/tex]

A linear function looks like this:

[tex]y=mx+b[/tex]

Our m is 1.5, a linear increase by 150% and our b is 0, which can be written like:

[tex]y=1.5x+0\\y=1.5x[/tex]

Therefore our function resembles a linear function more than an exponential function, eliminating answer B.

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