1. Ms. Morton likes to make weird tasting cookies. She decides to make cookies for friends and her
students. Each friend will get 3 more cookies than each student. She has a total of 112 students
and 12 friends and made of total of 408 cookies for everyone. The system of equations
represents this scenario:
s y=x+3
(112x +12y = 408
Ms. Morton predicts that she will give each friend 4 cookies and each student 7 cookies. Is she correct?
if not, how many cookies will each friend get and each student get?

Answer:

58

Step-by-step explanation:

(4)+9(6)

4+54

58

Answer:

do you want area? if so 18"

Step-by-step explanation:

Answer:

the answer is 10+3[tex]\sqrt{6\\}[/tex] or 17.35

Answer:

10 + 3(√6)

Step-by-step explanation:

To simplify this expression, take what is divisible by 2 in the numerator (top) out of the fraction. For the square root number, change it to a mixed radical form (an equivalent number multiplied by a smaller root) by taking out square numbers.

[tex]\frac{20+\sqrt{216}}{2}[/tex]      Split the fraction to see what can be divided

[tex]=\frac{20}{2}+\frac{\sqrt{216}}{2}[/tex]     20/2 = 10

[tex]=10+\frac{\sqrt{216}}{2}[/tex]      Simplify the root. 216 = 4*9*6

[tex]=10+\frac{\sqrt{4*9*6}}{2}[/tex]        4 and 9 are square numbers. Take out the square root of those factors.

[tex]=10+\frac{2\sqrt{9*6}}{2}[/tex]     Took out the √4 first.

[tex]=10+\frac{2*3\sqrt{6}}{2}[/tex]     Took out √9.   (√4)(√9) = 2*3

[tex]=10+\frac{6\sqrt{6}}{2}[/tex]         The mixed radical is 6√6. Divide it by 2.

[tex]=10+3\sqrt{6}[/tex]       Answer

The time taken by car to pass the truck is 1.125 hours

Solution:

A truck enters a highway driving 60 miles per hour a car

The car enters the highway at the same place 9 minutes later and drive 68 miles per hour in the same direction from the time the car enters the highway

Let us first convert 9 minutes to hours

[tex]1 \text{ minute } = \frac{1}{60} \text{ hour }[/tex]

[tex]9 \text{ minute } = \frac{9}{60} = \frac{3}{20} \text{ hours }[/tex]

Let the truck covers 'x' m distance in time 't' hour the car will take [t -(3/20)] hour to cover the same distance 'x'

We know that,

[tex]Distance = Speed \times Time[/tex]

For truck : [tex]x = 60t[/tex] ----------- eqn 1

For car: [tex]x = 68 \times (t - \frac{3}{20})[/tex] ------------ eqn 2

From equations (i) and (ii)

[tex]60t = 68 \times(t-\frac{3}{20})\\\\60t = 68t-10.2\\\\68t - 60t = 10.2\\\\8t = 10.2\\\\t = 1.275[/tex]

Thus the time taken by car to pass the truck is:[tex]t - \frac{3}{20} = 1.275 - \frac{3}{20} = 1.275 - 0.15 = 1.125[/tex]

Thus the time taken by car to pass the truck is 1.125 hours

Answer:

It’s written in standard form.

Step-by-step explanation:

Standard form is numbers written in just numbers.

Example: “Five Hundred Forty-One”

The standard form of that number is 541.

Changing a phrase, expression into number form.

Hope this helps!

Answer:

-4

Step-by-step explanation:

6t=-24

t=-24/6

t=-4

[tex]-\frac{1}{3}m+2 = -1 =>NO\\-2(-4m-6.4) = 44.8 => YES\\8m-5-2m +1 = 20 =>YES\\7m+6 = 9m-2 => YES[/tex]

Step-by-step explanation:

First of all, we will find the solution of the given equation

So,

Given equation is:

[tex]3m = 36-6m[/tex]

Adding 6m on both sides

[tex]3m+6m = 36-6m+6m\\9m = 36[/tex]

Dividing both sides by 9

[tex]\frac{9m}{9} = \frac{36}{9}\\m = 4[/tex]

In order to check, if the solution is the solution of given options, we will put the solution in the equation, if both sides of equations are equal then the solution belongs to the equation.

So,

For [tex]-\frac{1}{3}m+2 = -1[/tex]

Putting m=4

[tex]\frac{-1}{3}(4)+2 = -1\\\frac{-4}{3}+2 = -1\\\frac{-4+6}{3} = -1\\-\frac{2}{3} \neq -1[/tex]

For [tex]-2(-4m-6.4) = 44.8[/tex]

Putting m=4

[tex]-2[-4(4)-6.4]=44.8\\-2(-16-6.4) = 44.8\\-2(-22.4) = 44.8\\44.8 = 44.8[/tex]

For [tex]8m-5-2m +1 = 20[/tex]

Putting m=4

[tex]8m-5-2m +1 = 20\\6m-4 = 20\\6(4) -4 = 20\\24-4 = 20\\20 = 20[/tex]

for [tex]7m+6 = 9m-2[/tex]

Putting m = 4

[tex]7(4) +6 = 9(4) - 2\\28+6 =36-2\\34=34[/tex]

Keywords: Equations, linear equation

Learn more about linear equation at:

#LearnwithBrainly

Answer:

The number is 45.

Step-by-step explanation:

2/3x=30

x=30/(2/3)

x=(30/1)(3/2)

x=90/2

x=45

The value of y-x is (-3)

Solution:

Given: The value of x-y=3

To find: The value of y-x

[tex]\bold{x-y=3\rightarrow (1)}[/tex]

Let's multiply the equation (1) by (- 1) on both sides,

[tex]\Rightarrow\bold{(x - y)\times(- 1) = 3\times(- 1)}[/tex]

[tex]\Rightarrow\bold{-(x-y)=-3}[/tex]

On multiplying the sign,

[tex]\Rightarrow\bold{(-x+y)=-3}[/tex]

The above equation can also be written as,

[tex]\Rightarrow\bold{y-x=-3\rightarrow \text{(The required equation)}}[/tex]

Multiplication of signs:

[tex]\Rightarrow( + )\times( + ) = ( + )[/tex]

[tex]\Rightarrow( + )\times( - ) = ( - )[/tex]

[tex]\Rightarrow( - )\times( + ) = ( - )[/tex]

[tex]\Rightarrow( - )\times( - ) = ( + )[/tex]

In simpler terms, when we multiply two integers with the same signs, the result is always positive and when we multiply two integers with different signs, the result is always negative.

Answer:

2x^2-2xy

•••••••••••••

Answer:

Step-by-step explanation:

2x(x - y) = 2x^2 - 2xy

Answer:

25 times

Step-by-step explanation:

125÷5 = 25

5 goes into 125 exactly 25 times. This result is obtained by dividing 125 by 5. The answer is 25.

To determine how many times the number 5 goes into 125, we need to perform division:

This means if you divide 125 by 5, the result is 25, showing that 5 fits into 125 exactly 25 times.

Answer:

D) 25x^2-1

Step-by-step explanation:

(5x+1)(5x-1)

25x^2+5x-5x-1

25x^2-1

Answer:

A. The diagonals bisect each other.

Answer:

Diagonals bisect each other

Step-by-step explanation:

Answer:

The math notation to the given sequence is  [tex]a_n=(-1)^{n+1}[/tex] for n=1,2,3,... is verified and it is true

Step-by-step explanation:

Given sequence is 1,-1,1,-1,...

Let [tex]a_1=-1,a_2=1,a_3=-1,a_4=-1,...[/tex]

To find the math notation for the given sequence :

[tex]a_n=(-1)^{n+1}[/tex] for n=1,2,3,... verify that it is true or not

Put n=1 in the above equation we get

[tex]a_1=(-1)^{1+1}[/tex]

[tex]=(-1)^2[/tex]

Therefore [tex]a_1=1[/tex]

Put n=2 in the [tex]a_n=(-1)^{n+1}[/tex] equation we get

[tex]a_2=(-1)^{2+1}[/tex]

[tex]=(-1)^3[/tex]

Therefore [tex]a_2=-1[/tex]

Put n=3 in the [tex]a_n=(-1)^{n+1}[/tex] equation we get

[tex]a_3=(-1)^{3+1}[/tex]

[tex]=(-1)^4[/tex]

Therefore [tex]a_3=1[/tex]

and so on

Therefore the math notation to the given sequence is  [tex]a_n=(-1)^{n+1}[/tex] for n=1,2,3,... is verified and it is true

turn the whole number to a fraction by simply writing 1 underneath it. Example, 9 --> 9/1

Any fraction over one is the number itself like how 9/1 = 9

So then you can do like

9 x 2/3 --> 9/1 x 2/3 = 18/3

Answer:

140 ounces of water and 105 ounces of 35% salt solution.

Explanation:

Let [tex]x[/tex] be the ounces of water that need to be added and [tex]y[/tex] be the ounces of 35% solution that need to to be added.

We know that the total of ounces of water and of 35% solution must be 245 ounces:

[tex]x+y=245[/tex]

35% of  [tex]x[/tex] is the salt, and since no salt is added with addition of [tex]y[/tex]  liters of water, this must be equal to the amount of salt in the final 15% solution:

[tex]0.35x=0.15*245[/tex]

we solve for  [tex]x[/tex] and get:

[tex]x=105[/tex]

We put this value into [tex]x+y=245[/tex] and solve for [tex]y[/tex] to get:

[tex]y=140[/tex]

Thus we have 140 ounces of water and 105 ounces of 35% solution.

To obtain a 245-ounce mixture at 15% salt concentration, the scientist needs to mix 140 ounces of water with 105 ounces of 35% salt solution by solving a system of equations that involves the total mass of the solution and the mass of the salt in the mixture.

The student is asking for help with a mixing solution problem in algebra where they need to combine water with a 35% salt solution to create a final mixture that has a 15% salt concentration. To solve this problem, two key equations must be set up based on the mixture's total mass and the mass of the salt within the mixture. The student wants 245 ounces of the final mixture.

Let's denote X as the number of ounces of water (0% salt) and Y as the number of ounces of the 35% salt solution. The first equation is based on the total mass of the final solution: X + Y = 245. The second equation is based on the mass of the salt in the solution: 0*X + 0.35*Y = 0.15*245.

Now, we solve the system of equations. The second equation simplifies to 0.35Y = 36.75. Dividing both sides by 0.35 gives Y = 105 ounces. Substituting Y into the first equation gives X = 140 ounces. Therefore, the scientist needs to mix 140 ounces of water with 105 ounces of the 35% salt solution to achieve the desired concentration.

Answer:

you ate 2

Step-by-step explanation:

Answer:

we ate two apple

Step-by-step explanation:

8 divided by 4 (which is the common denominator ) is two

or eight in half is 4 so half of that again is 2

Hiya

Make sure you know the Order of Operations, or PEMDAS.

PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

When simplifying, you need to do it in this order. However, with multiplication and division, you do it whichever comes first. If it's 24 times 3 divided by 4, you do multiplication first because it came first in the problem. Then you divide by 4.

The same thing with addition and subtraction. For example, 2 + 4 + 8 - 11, you need to add 2+4+8 first because addition came first before subtraction.

If you don't understand feel free to reply with questions about it.

ALSO: If numbers are written together like (-2)(3), this means they are being multiplied.

Okay so let's solve this equation now.

Looking at PEMDAS, the first step would be to multiply or divide. Seeing that division comes first, do 24 divided by -2.

24 ÷ -2 = -12 (Remember that positive divided by a negative or the other way around will always result in a negative. Same with multiplying)

Now we have: -12(3)+7

Next step is multiplication so -12*3=-36

Now we have -36 + 7.

Adding a negative is the same as subtracting a positive so you can re-write this as 7- 36. Well, 36 - 7 is 29, so 7 - 36 = -29.

So, the answer is -29

Answer:

b

Step-by-step explanation:

or a

Answer:

(B): -121 7/24

Step-by-step explanation:

i just did the quiz

Answer:

the perimeter for this shape is 550 in

So as we know 1 feet = 12 inches. So we multiply 12 x 4 which is 48. Plus 7 is 55.

So the amount of inches that Jonah cut the piece of rope is 55 inches

mark me as brainliest if this answer is correct!!!

The total would be 170 for it all.

Answer:

Step-by-step explanation:

50 + 100 - 2(20) =

150 - 40 =

$ 110 <===

The percentage increase in Angie's height is 3 %

Solution:

Given that, In one year, Angie's height went from 58 to 60 inches

To find: percentage increase

The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.

The percent increase is given as:

[tex]\text { percent increase }=\frac{\text { final value - initial value}}{\text { initial value }} \times 100[/tex]

Here in this problem,

Initial value = 58 inches

Final value = 60 inches

Substituting the values we get,

[tex]percent\ Increase = \frac{60-58}{58} \times 100\\\\percent\ Increase = \frac{2}{58} \times 100\\\\percent\ Increase = 0.0344 \times 100\\\\percent\ Increase = 3.45 \approx 3[/tex]

Thus percentage increase in Angie's height is 3 %

the answer is 22464, because if they marched 1872 yard for the first side, you can multiply it by 3 because there are 3 feet in one yard. Then you multiply that by 4 because there are 4 sides in a square

Final answer:

To find the distance an object has rolled down an inclined plane from the velocity equation v = √(53d), square both sides of the equation and then divide by 53 to solve for d.

Explanation:

The velocity v of an object rolled down an inclined plane is given by the formula v = √(53d), where d is the distance the object has rolled. To solve this equation for d, we can square both sides of the equation to remove the square root. The steps are as follows:

Square both sides of the equation: v² = (53d)².

Divide both sides by 53 to isolate d: d = v² / 53.

Now, d represents the distance the object has rolled down the inclined plane as a function of its velocity v.

Set the equations to equal each other:

3x-3 = 2.3x+ 4

Solve:

Subtract 2.3x from both sides

0.7x -3 = 4

Add 3 to both sides:

0.7x = 7

Divide both sides by 0.7

X =10

Solve for y:

Y = 3(10) -3

Y = 30-3

Y=27

The lines cross at (10,27)

Answer:

(10,27)

Step-by-step explanation:

Plot the first point of the first line by plotting the y-intercept of -3, and using the slope of 3 to plot the rest of the points needed (up 3, over 1).

Plot the first point of the second line by plotting the y-intercept of 4, and using the slope of 2.3 (23/10) to plot the rest of the points needed (up 23, over 10).

After a while of graphing, you will then find that the point of location in which these two lines intersect is (10,27).

Hope this helps :) Thanks!

Let n = number of players

Drawing out each scenario is optional, but it helps visualize what is going on.

Let's play out scenarios for n = 2 through n = 12 to see what the pattern might be.

------------------

n = 2 players

Seat #1 eliminates seat #2

Winner = seat #1

This is fairly trivial and boring as there is only one round and one elimination.

------------------

n = 3 players

Seat #1 eliminates seat #2

Seat #3 eliminates seat #1

Winner = seat #3

Like with n = 2, this game is over in one round. For n = 4 and greater, we'll start to see multiple rounds.

------------------

n = 4 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

End of Round 1

Seats remaining = {seat #1, seat #3}

Start of Round 2

Seat #1 eliminates seat #3

End of Round 2

Winner = seat #1

------------------

n = 5 players

Start of Round 1.

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #1

End of Round 1.

Seats remaining = {seat #3, seat #5}

Start of Round 2.

Seat #3 eliminates seat #5

End of Round 2

Winner = seat #3

------------------

n = 6

Start of round 1.

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

End of Round 1

Seats remaining = {seat #1, seat #3, seat #5}

Start of round 2

Seat #1 eliminates seat #3

Seat #5 eliminates seat #1

End of Round 2

Winner = seat #5

------------------

Up next is n = 7 players

Start of round 1.

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #1

End of Round 1

Seats remaining = {seat #3, seat #5, seat #7}

Start of round 2

Seat #3 eliminates seat #5

Seat #7 eliminates seat #3

End of Round 2

Winner = seat #7

------------------

n = 8 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

End of Round 1

Seats remaining = {seat #1, seat #3, seat #5, seat #7}

Start of round 2

Seat #1 eliminates seat #3

Seat #5 eliminates seat #7

End of Round 2

Seats remaining = {seat #1, seat #5}

Start of Round 3

Seat #1 eliminates seat #5

End of Round 3

Winner = seat #1

------------------

n = 9 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

Seat #9 eliminates seat #1

End of Round 1

Seats remaining = {seat #3, seat #5, seat #7, seat #9}

Start of round 2

Seat #3 eliminates seat #5

Seat #7 eliminates seat #9

End of Round 2

Seats remaining = {seat #3, seat #7}

Start of Round 3

Seat #3 eliminates seat #7

End of Round 3

Winner = seat #3

------------------

n = 10 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

Seat #9 eliminates seat #10

End of Round 1

Seats remaining = {seat #1, seat #3, seat #5, seat #7, seat #9}

Start of Round 2

Seat #1 eliminates seat #3

Seat #5 eliminates seat #7

Seat #9 eliminates seat #1

End of Round 2

Seats remaining = {seat #5, seat #9}

Start of Round 3

seat #5 eliminates seat #9

End of Round 3

Winner = seat #5

------------------

n = 11 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

Seat #9 eliminates seat #10

Seat #11 eliminates seat #1

End of Round 1

Seats remaining = {seat #3, seat #5, seat #7, seat #9, seat #11}

Start of Round 2

Seat #3 eliminates seat #5

Seat #7 eliminates seat #9

Seat #11 eliminates seat #3

End of Round 2

Seats remaining = {seat #7, seat #11}

Start of Round 3

Seat #7 eliminates seat #11

End of Round 3

Winner = seat #7

------------------

n = 12 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

Seat #9 eliminates seat #10

Seat #11 eliminates seat #12

End of Round 1

Seats remaining = {seat #1, seat #3, seat #5, seat #7, seat #9, seat #11}

Start of Round 2

Seat #1 eliminates seat #3

Seat #5 eliminates seat #7

Seat #9 eliminates seat #11

End of Round 2

Seats remaining = {seat #1, seat #5, seat #9}

Start of Round 3

Seat #1 eliminates seat #5

Seat #9 eliminates seat #1

End of Round 3

Winner = seat #9

------------------

Admittedly this is a lot of things to keep track of and it's easy to get lost. Hopefully the process is fairly straight forward even if it requires a lot of drawings.

Each pattern block is color coded to separate the start and stop of each sequence. Note the pattern of {1,3} then {1,3,5} then {1,3,5,7} then {1,3,5,7,9} and so on. The next pattern block would likely be {1,3,5,7,9,11}. This table will help you determine what seat you will want to sit in if you know how many players there are at the start. Of course you won't know ahead of time how many players there are, but when it comes to you picking your seat you can quickly look at the table (either on the paper or just something you memorize) and you can select the ideal seat based on what n is.

Question:

Suppose you are determining the growth rate of two species of plants. Species A is 25 cm tall and grows 3 cm per month. Species B is 10 cm tall and grows 8 cm per month. Which system of equations models the height of each species H(m) as a function of months m.

Answer:

The system of equations that models the height of each species H(m) as a function of months m is: [tex]H_A(m) = 25 + 3m \text{ and } H_B(m) = 10+8m[/tex]

Solution:

[tex]H_A(m)[/tex] = the height of species A as a function of months m

[tex]H_B(m)[/tex] = the height of species B as a function of months m

Species A is 25 cm tall and grows 3 cm per month

Let "m" be the number of months

Therefore, a equation is framed as:

Species A : 25 cm + 3(number of months)

[tex]H_A(m) = 25 + 3m[/tex]

Species B is 10 cm tall and grows 8 cm per month

Therefore, a equation is framed as:

Species B : 10 cm + 8(number of months)

[tex]H_B(m) = 10+8m[/tex]

Thus the system of equations that models the height of each species H(m) as a function of months m is: [tex]H_A(m) = 25 + 3m \text{ and } H_B(m) = 10+8m[/tex]

Final Answer:

Liz's score is higher than Austin's

Explanation:

To solve this problem, first we need to calculate the percentage of correct answers that Liz got. We know that Liz answered 47 questions correctly out of a total of 50 questions. To calculate the percentage, we'll divide the number of questions Liz answered correctly by the total amount of questions and then multiply by 100.

This gives us the percentage of correct answers that Liz got.

We then compare it to the percentage that Austin got, which is 92%.

Doing so, we find that Liz's score is higher than Austin's. Hence, Liz earned a higher score.

#SPJ6