Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them.
How much money does Liam have left?
Write your answer as an expression.

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

The two expressions to find the value of the two integers.

M = 3N

2M = N² - 2

N = 6.3 and M = 18.9

The two integers are 6.3 and 18.9

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Smaller integer = M

Larger integer = N

Now,

An integer is three more than another integer.

This can be written as,

M = 3N ____(1)

Twice the larger integer is two less than the square of the smaller integer.

This can be written as,

2M = N² - 2 ______(2)

From (1) and (2) we get,

2(3N) = N² - 2

6N = N² - 2

N² - 2 - 6N = 0

N² - 6N - 2 = 0

This is a quadratic equation.

The roots of this quadratic equation are 6.32 and -0.31 (neglected)

N = 6.32

N = 6.3

Now,

M = 3N

M = 3 x 6.3

M = 18.9

Thus,

The two integers are 6.3 and 18.9

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Answer:

1) y = 2x + 1

y = x + 2 Corresponding with the third graph

2) y = 3x

y = x + 3 Corresponds with the first graph

3) y = 2x - 2

y = x - 2

4) y = 2x + 3

y = x + 5

Likely correspond with the fourth graph

5) y = 4x + 2

y = 2x + 2 Corresponding with the second equation

Step-by-step explanation:

The groups of equation are;

1) y = 2x + 1

y = x + 2

The y-intercept of equation (1) = 1

The x-intercept of equation (1) = -1/2

The slope of equation (1) = 2

So at x = 0 y = 1 and at  y = 0 x = -1/2 and at x = 2 y  = 3

Corresponding with the third graph

The same can be shown with the second equation

2) y = 3x

y = x + 3

The y-intercept of equation (1) = 0

The x-intercept of equation (1) = 0

The slope of equation (1) = 3

So at x = 0 y = 0 and at   x = 2 y  = 6

Corresponds with the first graph

The same can be shown with the second equation

3) y = 2x - 2

y = x - 2

4) y = 2x + 3

y = x + 5

Likely correspond with the fourth graph

5) y = 4x + 2

y = 3x + 2

The y-intercept of equation (1) = 2

The x-intercept of equation (1) = -1/2

The slope of equation (1) = 4

So at x = 0 y = 2 and at  y = 0 x = -1/2 and at x = 0.5 y  =  4

Corresponding with the second equation

The same can be shown with the second equation

We have to determine, The tiles to the correct boxes to complete the pairs. Not all tiles will be used.  Match each system of equations to its graph.

The groups of equation are as follows;

[tex]y = 2x + 1\\y = x + 2[/tex]

The y-intercept of equation = 1

The x-intercept of equation  = -1/2

And The slope of equation  = 2

Then,

At x = 0, y = 1

And at  y = 0, x = -1/2

And at x = 2, y  = 3

The first and second equation Corresponding with the third graph.

[tex]y = 3x\\y = x + 3[/tex]

The y-intercept of equation = 0

The x-intercept of equation  = 0

The slope of equation = 3

So at x = 0,  y = 0 and at   x = 2, y  = 6

The equation Corresponds with the first graph

[tex]y = 2x - 2\\y = x - 2[/tex]

The y-intercept of equation  = -2

The x-intercept of equation  = 2

The slope of equation = 2

So at x = 0,  y = -2 and at   x = 2, y  = 0

The equation Corresponds with the first graph.

[tex]y = 2x + 3\\y = x + 5[/tex]

 The y-intercept of equation = 3

The x-intercept of equation  = -2

The slope of equation  = 2

So at x = 0,  y = 3 and at   x = -5, y  = 0

The equation Corresponds with the fourth graph.

[tex]y = 4x + 2\\y = 3x + 2[/tex]

The y-intercept of equation = 2

The x-intercept of equation = -1/2

The slope of equation  = 4

So at x = 0 y = 2 and at  y = 0 x = -1/2 and at x = 0.5 y  =  4

The equation Corresponding with the second graph.

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Answer:

Los valores entre los cuales oscila la distancia del automóvil después de 5 horas es entre 300 metros y 400 metros.

Step-by-step explanation:

Dado que la velocidad mínima del taxi = 60 km / h, la velocidad máxima del taxi = 80 km / h

Por lo tanto, tenemos la distancia mínima cubierta después de una hora = 60 km / h × 5 h = 300 m

La distancia máxima recorrida después de una hora = 80 km / h × 5 h = 400 m, lo que da el rango de variación de la distancia recorrida entre 300 my 400 metros.

Donde, la distancia cubierta = x, tenemos

300 metros ≤ x ≤ 400 metros.

1) -x + 4 = -2x - 6

Add(2x)

x+4=-6

Subtract(4)

x = -10

Check your work

-(-10)+4=-2(-10) - 6

10+4=-2(-10) - 6

14=-2(-10)

14=20 - 6

14=14

Correct :)

2) 4R - 4 = 3R + 10

Add 4

4R=3R+14

Subtract 3R

R = 14

Check your work

4(14)-4=3(14)+10

56-4=3(14)+10

52=3(14)+10

52=42+10

52=52

Correct :)

3) 2Y - 3 = Y - 4

Add 3

2Y = Y - 1

Subtract Y

Y = -1

Check your work

2(-1)-3=-1-4

-2-3=-1-4

-5=-5

Correct :)

Hope it helps <3

Answer :

[tex]x = - 6 \\ x = 1[/tex]

Answer:

1- %50

0.2008

Step-by-step explanation:

0.0008 1/5

(0.0008*5)+1=0.004+1=1.004/5

0.2008

→Answer:

1) 50%

7) 5.02

→Step-by-step explanation:

1)

Even if a coin is tossed many times and its still heads there is still 50% it is tails. It doesn't change.

7)

.0008 1/5 as a fraction.

So first we need to put .0008 into 1/5.

To do that we do .0008*5 which is .004.

So the fraction is now 1.004/5

To make that a decimal we do 1.004 divided by 5 which is 5.02

Answer:

-7

Step-by-step explanation:

Answer:

19/10 or 1 9/10

Step-by-step explanation:

you first put them into common denominators

so the least common denominator is 10

so 5/2= 25/10

and 3/5= 6/10

so 25/10 minus 6/10= 19/10

hope this helps

Answer:

1 9/10

Step-by-step explanation:

5/2 - 3/5

Get a common denominator of 10

5/2 *5/5 - 3/5 *2/2

25/10 - 6/10

19/10

10/10 + 9/10

1 9/10

Answer:

Divide by 2 or -2

Step-by-step explanation:

The edges lengths have decreased:

4/2=2

2/2=1

6/2=3

Transformation involves changing the position and size of a shape.

The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

From the figure, we have:

So, the scale of dilation from shape A to B is:

[tex]\mathbf{Scale = \frac{1}{2}}[/tex]

Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

Read more about transformations at:

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Answer:

6 hours

Step-by-step explanation:

Kini: 9h+8

Duke: 7.5h+17

9h+8=7.5h+17

8-17=7.5h-9h

-9=-1.5h

6=h

Hope this helps, BRAINLIEST would help me alot!

Answer:

7.3 hours

Step-by-step explanation:

9h+8=7.5+17

-9h       -9h

8=1.5h+17

-17         -17

8=1.5h

1.5  1.5

7.3=h

Answer:

- A cross-sectional study.

Step-by-step explanation:

A Cross-sectional study is demonstrated as the type of observational study in which the data or a representative subset of a population collected at a particular point in time is analyzed.

As per the given details, the observational study conducted by the research company would exemplify 'a cross-sectional study' as it aims to evaluate the data('viewing habits of about 50005000 ​households) collected at a specific point in time i.e. 'today' in order to 'determine the proportion of households tuning to a particular sports program.'

Answer:

f = -5/3

Step-by-step explanation:

-3/4f = 5/4

Multiply both sides by -4/3.

-3/4f × -4/3 = 5/4 × -4/3

f = -20/12

f = -5/3

Answer:

72 rocks.

Step-by-step explanation:

A "easier" way to find out the answer, is to find how much rocks Jessica paints in 1 minute.

Divide 12 with 8:

12/8 = 1.5

Next, multiply the number you got (1.5) with 48:

48 x 1.5 = 72

Jessica can paint 72 rocks in 48 minutes.

~

Answer:

72 rocks

Step-by-step explanation:

So let’s create the following ratio 12:8

The 12 is the amount of rocks and the 8 is the time in minutes.

So we have to find how many rocks she can paint in 48 minutes.

So we make the following ratio x:48.

So we need to find x the amount of rocks she can paint in 48 minutes.

So to find x we have to divide 48 by 8 = 6.

So if the ratio is x6 we can just do 12 * 6 which is 72.

So she can  paint 72 rocks in48 minutes.

Se asume que en la pregunta: "El resto de los pasteles no se venció", se quiso decir en realidad: "El resto de los pasteles no se vendió".

Answer:

La parte del total que aún está disponible es [tex] \\ \frac{11}{30}[/tex].

Step-by-step explanation:

El total de los pasteles que se compraron es la suma de las fracciones del total que compró Rodrigo, [tex] \\ \frac{1}{5}[/tex], de la fracción del total que compró Carlos, [tex] \\ \frac{1}{10}[/tex], y de la fracción del total que compró Francisca, [tex] \\ \frac{1}{3}[/tex].

Numericamente hablando, Rodrigo, Carlos y Francisca compraron:

[tex] \\ \frac{1}{5}+\frac{1}{10}+\frac{1}{3}[/tex] [1]

Del total de los pasteles que vende la Señora Carmen.

La suma de las fracciones en [1] se puede realizar de distintas maneras, una posible es la siguiente:

Debemos recordar que, en general, en la suma de fracciones tenemos los siguientes casos:

Fracciones con denominadores diferentes

Fracciones con iguales denominadores

De esta forma:

[tex] \\ (\frac{1}{5}+\frac{1}{10})+\frac{1}{3}[/tex]

Se desarrolla primero la operación entre las fracciones dentro del paréntesis conforme a lo explicado anteriormente:

[tex] \\ (\frac{1*10+5*1}{5*10})+\frac{1}{3}[/tex]

[tex] \\ (\frac{10+5}{50})+\frac{1}{3}[/tex]

[tex] \\ \frac{15}{50} + \frac{1}{3}[/tex]

Se divide el numerador y el denominador de la fracción [tex] \\ \frac{15}{50}[/tex] entre cinco (5):

[tex] \\ (\frac{\frac{15}{5}}{\frac{50}{5}})+\frac{1}{3}[/tex]

Resultando:

[tex] \\ (\frac{3}{10})+\frac{1}{3}[/tex]

Esta fracción se suma a la siguiente y se procede de igual manera:

[tex] \\ \frac{3}{10}+\frac{1}{3}[/tex]

[tex] \\ \frac{3*3+10*1}{10*3}[/tex]

[tex] \\ \frac{9+10}{30}[/tex]

[tex] \\ \frac{19}{30}[/tex]

Tenemos entonces que:

De esta manera, la parte que aún está disponible es:

[tex] \\ 1 - \frac{19}{30}[/tex]

Podemos hacer [tex] \\ 1 = \frac{30}{30} = 1[/tex] (o un número dividido por si mismo es igual a la unidad) para que la operación se haga más fácilmente (caso de suma de fracciones con iguales denominadores):

[tex] \\ \frac{30}{30} - \frac{19}{30}[/tex]

[tex] \\ \frac{30 - 19}{30}[/tex]

[tex] \\ \frac{11}{30}[/tex]

El número once es también un número primo y la fracción no se puede simplificar más porque el 30 no es divisible por 11.

Por lo tanto, la parte que aún está disponible es la fracción [tex] \\ \frac{11}{30}[/tex], la cual podría interpretarse como once (11) partes de las treinta (30), [tex] \\ \frac{11}{30}[/tex],  que estaban disponibles antes de que Rodrigo, Carlos y Francisca compraran los pasteles.

Step-by-step explanation:

if AB and CD are parallel then

90 -x +83 +46 = 180 --> x= 39

Answer:

x = 39

Step-by-step explanation:

Using the properties of parallel lines, then

x + 44 = 83 ( subtract 44 from both sides )

x = 39

Answer:

You should add 4 to both sides because that would make the left side a perfect square which is what you are intending to do when you complete the square.

Answer:

4

Step-by-step explanation:

x² + 4x = 5

b = 4

We need to add (b/2)² to both sides to complete the square.

(4/2)² = 4

x² + 4x + 4 = 5 + 4

x² + 4x + 4 = 9

(x + 2)² = 9

Answer:

70

Step-by-step explanation:

n =2  ;  3n + 2 = 3*2 + 2 = 6 + 2  = 8

n = 3 ; 3n + 2 = 3*3 + 2 = 9 + 2 = 11

n =4 ; 3n+ 2   = 3*4 + 2 = 12 + 2 = 14

n= 5;   3n +2 = 3*5 + 2  = 15 + 2 = 17

n = 6; 3n + 2 = 3*6 + 2 = 18 + 2 = 20

∑ (3n + 2) = 8 + 11 + 14 + 17 + 20 = 70

Answer:

70

Step-by-step explanation:

TTT

Answer:

B. 0

Step-by-step explanation:

The slope of a straight horizontal line is always equal to 0.

To support the above statement, we can show working out:

m = slope of the line

m = ( y1 - y2 ) / ( x1 - x2 )

Two points on line = ( 0 , - 2 ) , ( 1 , - 2 )

y1 = - 2

y2 = - 2

x1 = 0

x2 = 1

m = [ ( - 2 ) - ( - 2 ) ] / [ ( 0 ) - ( 1 ) ]

m = ( - 2 + 2 ) / ( 0 - 1 )

m = 0 / - 1

m = 0

The y values on a horizontal line will always be the same. When calculating the subtraction of y values in the numerator of the formula for the slope of a line, a number subtracted by itself will always equal to 0. 0 divided by any number will always equal to 0. Hence, the slope of a straight horizontal line will always equal to 0.

Answer:

-2

Step-by-step explanation:

Simply find the y-value when x = -5. Looking at the graph, we should get y = -2

Answer:

f(-5) = -2

Step-by-step explanation:

f(-5)

x=-5

Go x=-5 on the graph and see what the y value of the function is

The y value is -2

f(-5) = -2

Answer:

the graph represents a function.

Step-by-step explanation:

The vertical line test is a test to check if a graph represents a function.

To proceed, draw (imaginary) vertical lines through the entire domain of the graph.  If any of the line intersects the graph at any value of x, then the graph does not represent a function.

Here it is not possible to draw a vertical line to intersect the red curve at any point, therefore the graph represents a function.

Answer:

Yes, the graph represents a function.

Step-by-step explanation:

The vertical line test is a test you can do to determine if a graph is a function. Basically, you draw straight vertical lines, and if it intersects with the line more than once, the graph is not a function.

This is because in a function, each input can only have one output.

So, we can draw vertical lines through the graph, and you'll find that each line will only intersect with the line once.

Based on this, the given graph would represent a function.

Answer:

B

Step-by-step explanation:

(Looking at the lines in the graph, the second equation is missing a minus sign, and should be [tex]y=-\frac{1}{3}x + \frac{2}{3}[/tex])

To find the intersection point of the pair of linear equations, we just need to equate both values of y.

The equations are:

[tex]y=\frac{2}{5}x - \frac{1}{2}[/tex]

[tex]y=-\frac{1}{3}x + \frac{2}{3}[/tex]

Making the y from one equation equal the y of the other equation, we have:

[tex]\frac{2}{5}x - \frac{1}{2} = -\frac{1}{3}x + \frac{2}{3}[/tex]

[tex]\frac{2}{5}x +\frac{1}{3}x = \frac{2}{3} + \frac{1}{2}[/tex]

[tex]\frac{6}{15}x +\frac{5}{15}x = \frac{4}{6} + \frac{3}{6}[/tex]

[tex]\frac{11}{15}x = \frac{7}{6}[/tex]

[tex]x = \frac{7}{6} * \frac{15}{11} =\frac{35}{22} = 1.591[/tex]

Then the y-coordinate of the point is found using this x-value in any of the two equations:

[tex]y=\frac{2}{5}\frac{35}{22} - \frac{1}{2}[/tex]

[tex]y=\frac{7}{11} - \frac{1}{2}[/tex]

[tex]y=\frac{14}{22} - \frac{11}{22}[/tex]

[tex]y=\frac{3}{22} = 0.136[/tex]

So the coordinate of the crossing point is (1.591, 0.136)

The point that is in this coordinate in the graph is point B.

Answer:

View the picture for the answer!

Step-by-step explanation:

Answer:  No the banner is not square.

Step-by-step explanation:

If it were square, the diagonal would be about 35.36 inches.

Pythagorean Theorem: a² + b² + = c²

?25² + 25² = 48² ?

625 + 625 ?=? 2304

1250 ≠ 2304

√1250 ≈ 35.3553

Answer:

The second option

Step-by-step explanation:

Source: trust me bro

Answer:

  7200 cm^2

Step-by-step explanation:

The kitchen dimension on the drawing of 14 cm corresponds to an actual kitchen dimension of 40·14 = 560 cm.

The kitchen dimension on the drawing of 22 cm corresponds to an actual kitchen dimension of 40·22 = 880 cm.

The actual kitchen area is ...

  Area = length · width = (880 cm)(560 cm) = 492,800 cm^2.

__

The difference between this area and the bedroom area is ...

  500,000 cm^2 -492,800 cm^2 = 7200 cm^2

The kitchen is 7200 cm^2 smaller than the bedroom.

Answer:

Step-by-step explanation:

The values of the slope and y-intercept are  

m =- 8/3

and  b = − 11

Answer:

The amount of ounces, Y, of the 12% substance is 3.33 ounces

Step-by-step explanation:

The word problem has the task of discovering the required amount of the substance containing the 12% cottonseed required to create a snore suppressing substance with 8% cottonseed

Let the amount of the substance with 6% cottonseed in the 10 ounce substance be X and the amount of the substance with 12% cottonseed be Y

We have;

X×6% + Y×12% = 10 ounce × 8%

Which gives;

0.06×X + 0.12×Y = 0.08×10..........(1)

X + Y = 10.....................................(2)

Putting X = 10 - Y, we have;

0.06×(10 - Y) + 0.12×Y = 0.08×10

0.6 - 0.06·Y + 0.12·Y = 0.8

0.06·Y = 0.8 - 0.6 = 0.2

Y = 0.2/0.06 = 10/3 = 3.33 ounces

X = 10 - Y = 10 - 3.33 = 6.67 ounces

Therefore, the amount of ounces, Y, of the 12% substance = 3.33 ounces.

Answer:

The Answer is actaully 5

Step-by-step explanation:

Answer:

Gym A and B offers the same price

Step-by-step explanation:

[tex]\huge\bold\color{steelblue}{\colorbox{white}{Answer:}}[/tex]

Both of them has the same price

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If you have any questions, feel free to ask me <33

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Answer:

54.88 square cm

Step-by-step explanation:

If d1 and d2 are the diagonal of parallelogram and [tex]\alpha[/tex] is the angle between then

then its area is given by

area = d1*d2 sin [tex]\alpha[/tex]

given

in the problem

for one diagonal one part is 7cm

we know that diagonal intersects each other to divide each part of same diagonal equally.

hence if one part is of length 7 then other part is also of 7cm length

hence full length of this diagonal is 7+7 = 14cm

similarly  full length of other diagonal is 4+4 = 8cm

now area of this parallelogram

area = d1*d2 sin [tex]\alpha[/tex]  = 14*4 sin100

we know sin100 = 0.98

area = 56*0.98

area = 54.88

Thus, area of given parallelogram is 54.88 square cm.

Answer:

Step-by-step explanation:

f(x) = |x - h| + k has a vertex at (h, k), where both h and k are positive.  Only

"On a coordinate plane, an absolute value graph has a vertex at (2, 1)"  satisfies those requirements.

The vertex of an absolute function is the minimum or the maximum point of the graph

The graph that could be [tex]f(x) = |x - h| + k[/tex] is (a) an absolute value graph has a vertex at (2, 1)

The function is given as:

[tex]f(x) = |x - h| + k[/tex]

And the coordinates of the vertex (h,k) are said to be positive.

From the list of given options, only the first option has both coordinates of the vertex to be positive i.e. (2,1)

Hence, the graph that could be [tex]f(x) = |x - h| + k[/tex] is (a)

Read more about absolute value functions at:

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Answer:(x-5)/8

Step-by-step explanation:

f(x)=8x+5

   let f(x)-1=y

y=8x+5

interchanging x and y

x=8y+5

y=(x-5)/8

Therfore f(x)-1=(x-5)/8

Answer:

x-5/8

Step-by-step explanation: