A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply. x = one-half y minus 3 2 x minus y = negative 6 2 x minus y = negative 3 x = one-half (y minus 3) y = 10 (x minus 1)

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:

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: £ 8

Step-by-step explanation:

Total hours Lena works from Monday to Friday = 34 hours

Hours she works on Saturdays = 4

Overtime rate of Saturday = 1.5 times her normal rate

Let x be the normal rate.

Then , Her total earning = [tex]34 x + 4 \times(1.5x) =34x+6x=40x[/tex]

Since her total earnings for week = £ 320

So,

[tex]320=40x\\\\\Rightarrow\ x=\dfrac{320}{40}\\\\\Rightarrow\ x=8[/tex]

Thus, her normal rate of pay per hour = £ 8

Answer:

D. 36 miles

hope this helps :)

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:

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.

Answer: 16.991°

Step-by-step explanation:

Used a triangle calculator hope this helped!

The answer is actually 9 ;)

Answer:

y = 9

Step-by-step explanation:

-2(20) + 4y = -4

-40 + 4y = -4

4y = -4 + 40

4y = -4 + 40

4y = 36

4/4 = y

36/4 = 9

y = 9

Hope this helped! :)

Answer:

-2

Step-by-step explanation:

We can find the slope by using the slope formula

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

    = (-5 - -7)/ ( -2 - -1)

    = ( -5+7) / ( -2 +1)

    = 2/-1

   = -2

━━━━━━━☆☆━━━━━━━

▹ Answer

Slope = [tex]\frac{2}{-1}[/tex] → -2

▹ Step-by-Step Explanation

(-1, -7) (-2, -5)

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

-5 - (-7) = -5 + 7 → 2

-2 - (-1) = -2 + 1 → -1

Slope = [tex]\frac{rise}{run}[/tex] → [tex]\frac{2}{-1}[/tex] → -2

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

$296,954.42

Step-by-step explanation:

If any amount P is invested at rate of r% per year for n years then value of money p after n years is given by

FV = p(1 + r/100)^n

where FV is the future value of money after n years.

given

p= $19300

r = 9%

n = 5 years

Thus, FV = 193000(1 + 9/100)^5

FV =  193000((100 + 9)/100)^5

FV =  193000(109/100)^5

FV =  $296,954.42

Thus, value after 5 years for the investment is $296,954.42 to the nearest cent

c. because when you di the math it adds up

Answer:   5s -3 = s -3 + 24    5s -3 = s + 21

Step-by-step explanation:

Father   f

Son   s .   present:  f = 5s  use this equation to substitute the equal value

3 years ago .  f-3 = s-3 + 24  

Substitute 5s for f in the second equation

5s -3 = s-3 + 24

works out as  5s -s = - 3  +3 + 24

4s = 24  

4s/4 = 24/4  

s = 6

The son's age is 6, The father is 30

Answer:

11

Step-by-step explanation:

The fraction of students expected to get an A is 5/15 or 1/3

Multiply 1/3 by the number of students

1/3 * 32 = 10.666666

Rounding to the nearest number

11 students

Answer:

[tex]l = 88 cm[/tex]

Step-by-step explanation:

Volume of Cube = [tex]l*l*l[/tex]

Volume of Cube = [tex](Length)^3[/tex]

Where volume = 681472 cubic cm

=> [tex]l^3 = 681472[/tex]

Taking square root on both sides

=> [tex]l = \sqrt{681472}[/tex]

=> [tex]l = 88 cm[/tex]

Answer:

A) 6/7

Step-by-step explanation:

Remember that two negatives will cancel to make a positive. Also, 6 ÷ 7 is 6/7

Answer: [tex](x+2)(x+8)[/tex]

Step-by-step explanation:

1) First, we need to see which number multiplies to 16 and adds up to 10.

By looking at the factors of 16, we can see that only 2 and 8 will work.

2) Now, we need to arrange them in the factorized equation, which is always

(x+r)(x+q).

3) This will give us our final equation:

[tex](x+2)(x+8)[/tex]

If you want the roots, just do the negation of r and q and you will get it!

Answer:

D.

Step-by-step explanation:

x ={-1, 0, 2, 4, 7}

We see every x value only one time, so given pairs (x,y) is a function.

Answer is D.

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 function is f(x) = -4x²+10x-8

Let Δ be our the dicriminant

The value of the discriminant is -28 and since it is negative this function has no real zeroes

Answer:

-28 for the first box and 0 for the second box.

Step-by-step explanation:

Answer:

Hope it helps

sorry fir bad camera view.....

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:(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:

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.

Step-by-step explanation:

Type A cost 4.05 dollars per pound

Type B cost 5.55 dollars per pound

now...since type A is four times larger than Type B for that month,.the ratio will be 4:1 respectively

total cost was 735 dollars out of which Type A has

4/5 × 735 = 588 dollars while Type B has 1/5 × 735 = 147 dollars

so therefore ....number of pounds of A = 588/4.05=145.18pounds

and number of Pounds of B = 147/5.55= 26.48pounds

Answer:

Step-by-step explanation:

Recall that when we are factoring a polynomial, we are implicitly finding its roots. By finding a root, we are looking for a value of x (say c) such that p(c) =0. When this happens, our polynomial has the the polynomial (x-c) as a factor.

We are given the values of p at some values of x. We notice that p(5) = 0 and p(-12) =0. So, this means that our polynomial has as a factor the polynomials (x-5) and (x+12).

Answer:

Factor: x-5 & x+12

Not a Factor: x-1, x+4, x-7, x+10

Step-by-step explanation:

The remainder theorem states that for a polynomial p(x) and a number a, the remainder on division of p(x) by x − a is p(a). So, p(a) = 0 if and only if x − a is a factor of p(x).

Since, p(5) = 0 and p(-12) = 0, the expressions (x − 5) and (x + 12) are factors of the polynomial p(x).

Answer:

52

Step-by-step explanation:

Number of Students in Key Stage 3 =380

Number of Students in Key Stage 4 =240

Number of Students in Key Stage 5 =110

Total = 380+240+110=730

Since a sample of 100 students stratified by key stage is needed.

The number of students that would be taken from Key Stage 3

[tex]=\dfrac{380}{730}\times 100\\\\=52.1\\\approx 52 $ (to the nearest whole number)[/tex]

Answer: CAN YOU PLS MARK AS BRAINLIEST??

a.x=11/4

b.x=6

c.x=21/2

d.x=0

Step-by-step explanation:

-2+3x+x=9-x

-2+3x+x=9

4x=9+2

4x=11

x=11/4

when you move a numerator to the other side it becomes a denominator

x+2=3/4x6

x+2=3/24

x=8-2

x=6

5-2x-12=14

2x=14-5+12

2x=21

x=21/2

1/2x=-3-1/2x+4-1

1/2x+1/2x=-3+4-1

x=0

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

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

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.