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3 years ago

Evaluate the following expression. [4 + (12 - 2) ÷ 5] ÷ 7

Mathematics

2 answers:

Anika [276]3 years ago

7 0

Answer:

[4 + (12 - 2) ÷ 5] ÷ 7

[4 + 6 / 5] / 7

[10 / 5] / 7

2 / 7

= 2/7 or 0.28571428571

Murljashka [212]3 years ago

5 0

0.85714285714 or 2/7

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Observa los puntajes de las respuestas de una evaluación que tuvo de 100 preguntas. Si Alfredo contestó correctamente 57 pregunt

n200080 [17]

La pregunta está incompleta:

Observa los puntajes de las respuestas de una evaluación que tuvo de 100 preguntas. Si Alfredo contestó correctamente 57 preguntas, 16 incorrectas y el resto las dejó en blanco, ¿qué puntuación obtuvo en la evaluación?

Puntos por respuesta:

Correctas: 4

En blanco: -1

Incorrectas: -3

Answer:

Alfredo obtuvo una puntuación de 153.

Step-by-step explanation:

De acuerdo a la información proporcionada, conoces el número de preguntas en la evaluación y el número de preguntas que Alfredo contestó de forma correcta e incorrecta y tienes que restar estas del total de preguntas para encontrar el número de preguntas que dejó en blanco:

100-57-16=27

Ahora, debes multiplicar el número de respuestas correctas, incorrectas y en blanco por su respectivo puntaje:

Correctas: 57*4=228

En blanco: 27*(-1)=-27

Incorrectas: 16*(-3)=-48

Finalmente, debes sumar los resultados obtenidos por cada tipo de respuesta:

228+(-27)+(-48)= 228-27-48=153

De acuerdo a esto, la respuesta es que Alfredo obtuvo una puntuación de 153.

4 0

3 years ago

In a fruit cocktail, the ratio of orange juice to apple juice to coconut milk is 3:2:4, respectively. How much of each type is n

stellarik [79]

Answer: 15L of Orange

10L of Apple

20L of Coconut

Step-by-step explanation:please see attachment for explanation

7 0

3 years ago

Read 2 more answers

What is the median of this set of data? 100, 102, 103, 106, 109 100 103 106 109

Strike441 [17]

Answer:

103 is the median.

Step-by-step explanation:

To find the median, you need to put the numbers in order.

100, 100, 102, 103, 103, 106, 106, 109, 109

The median is the number in the middle. After you place them in order, find the number that is in the middle and that will be the median.

Feel free to let me know if you need more help. :)

5 0

3 years ago

How long would it take franklin to shovel the driveway alone?

motikmotik

Answer:

Time taken by Franklin to shovel alone is 65.5 minutes.

Step-by-step explanation:

Let the time taken by Franklin to shovel alone = x minutes.

Since, the time taken by Angela to shovel = 180 minutes and the time taken by both = 48 minutes.

Then, we have,

Amount of shoveling done in 1 minute by Angela = $\frac{1}{180}$

Amount of shoveling done in 1 minute by both = $\frac{1}{48}$

Amount of shoveling done in 1 minute by Franklin= $\frac{1}{x}$

So, we have,

$\frac{1}{180}+\frac{1}{x}=\frac{1}{48}$

i.e. $\frac{x+180}{180x}=\frac{1}{48}$

i.e. $48(x+180)=180x$

i.e. $48x+8640=180x$

i.e. $132x=8640$

i.e. x= 65.5 minutes

Thus, the time taken by Franklin to shovel alone is 65.5 minutes.

7 0

3 years ago

The sides of a right triangle measure 6 times the square root of 3, 6 inches, and 12 inches. If an altitude is drawn from the ri

VARVARA [1.3K]

Length of segment of the hypotenuse adjacent to the shorter leg is 5 inches and the length of the altitude is 3 inches.

Step-by-step explanation:

Step 1: Let the triangle be ΔABC with right angle at B. The altitude drawn from B intersects the hypotenuse AC at D. So 2 new right angled triangles are formed, ΔADB and ΔCDB.

Step 2: According to a theorem in similarity of triangles, when an altitude is drawn from any angle to the hypotenuse of a right triangle, the 2 newly formed triangles are similar to each other as well as to the bigger right triangle. So ΔABC ~ ΔADB ~ ΔCDB.

Step 3: Identify the corresponding sides and form an equation based on proportion. Let the length of the altitude be x. Considering ΔABC and ΔADB, AB/DB = AC/AB

⇒ 6/x = 12/6

⇒ 6/x = 2

⇒ x = 3 inches

Step 4: To find length of the hypotenuse adjacent to the shorter leg (side AB of 6 inches), consider ΔADB.

⇒ $AD^{2} + BD^{2} = AB^{2}$