1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tatiana [17]
3 years ago
10

Simplify the expression. 3 - 4 +7 - 4

Mathematics
1 answer:
Tresset [83]3 years ago
4 0
2
3+7=10
-4-4=-8
10-8=2
You might be interested in
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior out of all students in the
Vaselesa [24]
20% = 1/5, so 5*5 = 25 students
7 0
3 years ago
Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5
weeeeeb [17]

Answer:

slope-intercept: y=\frac{-4}{5} x-\frac{2}{5}

point-slope: y-2=\frac{-4}{5} (x+3)

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

y-2=\frac{-4}{5} (x+3)

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

y=\frac{-4}{5} x-\frac{2}{5}

Thus, our two equations are:

slope-intercept: y=\frac{-4}{5} x-\frac{2}{5}

point-slope: y-2=\frac{-4}{5} (x+3)

8 0
2 years ago
Imaginá que tenés 125 dados cúbicos del mismo tamaño ¿Cuantos dados de altura tiene el cubo de mayor tamaño que podés armar apil
kumpel [21]

Answer:

(i) Debemos apilar 5 dados para construir el cubo de mayor tamaño.

(ii) Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.

Step-by-step explanation:

(i) Sabemos por la Geometría Euclídea del Espacio que un cubo es un sólido regular con 6 caras cuadradas y longitudes iguales. Cada dado tiene un volumen de 1 dado cúbico y 125 dados dan un volumen total de 125 dados cúbicos.

El volumen de un cubo está dado por la siguiente fórmula:

V = L^{3}

Donde:

L - Longitud de la arista, medida en dados.

V - Volumen del cubo, medido en dados cúbicos.

Ahora, necesitamos despejar la longitud de la arista para calcular la altura máxima posible:

L = \sqrt[3]{V}

Dado que V = 125\,dados^{3}, encontramos que la altura del cubo de mayor tamaño sería:

L =\sqrt[3]{125\,dados^{3}}

L = 5\,dados

Debemos apilar 5 dados para construir el cubo de mayor tamaño.

(ii) El área cuadrada formada por cubos está determinada por la siguiente fórmula:

A = L^{2}

Donde:

L - Longitud de arista, medida en dados.

A - Área, medida en dados cuadrados.

Puesto que la longitud de arista se basa en un conjunto discreto, esto es, el número de dados disponibles, debemos encontrar el valor máximo de L tal que no supere 125 y de un área entera. Es decir:

L \leq 125\,dados

Si cada cubo tiene un área de 1 dado cuadrado, entonces un cuadrado conformado por 125 dados tiene un área total de 125 dados cuadrados. Entonces:

L^{2}< 125\,dados^{2}

Esto nos lleva a decir que:

L < 11.180\,dados

Entonces, la longitud máxima del cuadrado con la mayor cantidad de cubos posible es de 11 dados. El número total requerido de cubos es el cuadrado de esa cifra, es decir:

n = (11\,dados)^{2}

n = 121\,dados

Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.

4 0
3 years ago
Please help me out!
Lesechka [4]

Answer:

0

Step-by-step explanation:

8 0
3 years ago
10. On one night, a group of 9 rats carried away 45 kg of food. What is the reduced ratio of rats to food weight
GenaCL600 [577]

Answer:

Number of rats : Food weight = 1 : 5

Step-by-step explanation:

Number of rats in the group = 9

Weight of food carried away by them = 45 kg

Ratio of the number of rats and food weight = \frac{\text{Number of rats}}{\text{Weight of food carried by the rats}}

                                                                          = \frac{9}{45}

                                                                          = \frac{1\times 9}{5\times 9}

                                                                          = \frac{1}{5}

Therefore, Number of rats : Food weight = 1 : 5

4 0
2 years ago
Other questions:
  • PLZ HELP!! A baseball has a diameter of 7.4 centimeters. Which of the following is closest to the surface area of the baseball?
    15·1 answer
  • A theatre contains 441 seats and the ticket prices for a recent play were ​$60 for adults and ​$16 for children. If the total pr
    10·1 answer
  • How can the Distance and Midpoint Formulas be used to identify specfic polygons? For example, how could you show that a quadrila
    12·1 answer
  • Twenty students in class A an 20 students in class B were asked how many hours they took prepare for a exam
    11·1 answer
  • Help im starving... jk help ,me with maTH
    6·1 answer
  • researchers are conducting a survey about what brand of ice cream shoppers prefer. they survey the tenth person who walks into t
    15·2 answers
  • Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. How old is Daniel now?
    15·2 answers
  • Is it ever possible that cos (A−B)=cos ⁡A−cos ⁡B? Why
    7·1 answer
  • The slope of the line segment above is<br><br> True<br> False
    14·2 answers
  • Change this equation to slope intercept form <br> -3x+2y=10 <br><br> PLEASE HELP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!