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2 years ago

Simplify the following variable expressions

Mathematics

1 answer:

Leya [2.2K]2 years ago

4 0

$\qquad \qquad \sf \: \huge Answer♨$

Let's simplify ~

<h3>Expression 1</h3>

$\qquad \sf \dashrightarrow \:2x + 5 + x - 6 + 3x$

$\qquad \sf \dashrightarrow \:(2x + x + 3x) + (5 - 6)$

$\qquad \sf \dashrightarrow \:6x + ( - 1)$

$\qquad \sf \dashrightarrow \:6x - 1$

<h3>Expression 2</h3>

$\qquad \sf \dashrightarrow \:x - 8 + x - 5 + x + 1$

$\qquad \sf \dashrightarrow \:(x + x + x) + ( - 8 + ( - 5) + 1)$

$\qquad \sf \dashrightarrow \:3x + ( - 12)$

$\qquad \sf \dashrightarrow \:3x - 12$

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3 Fred is making a fruit salad. The ratio

marusya05 [52]

Answer: 24 cups.

Step-by-step explanation:

Let be "x" the amount of cups of peaches that Fred will need to make 60 cups of fruit salad.

According to the information given in the exercise, you know that the ratio of cups of peaches to cups of cherries is the one shown below:

$2:3$

Which can also be written as a fraction:

$\frac{2}{3}$

Then, if he uses 2 cups of peaches and 3 cups of cherries, he will get 5 cups of fruit salad.

Knowing the above, you can set up the following proportion:

$\frac{2}{5}=\frac{x}{60}$

Now you must solve for "x" in order to find its value. This is:

$(60)(\frac{2}{5})=x\\\\x=24$

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3 years ago

La temperatura de un congelador bajó de 3 °C a −9 °C en 3 horas. Si la temperatura del congelador bajó en la misma cantidad de g

Liula [17]

En este problema observamos que la temperatura del congelador desciende <em>linealmente</em> con el paso del tiempo, es decir, conforme al siguiente modelo:

$T(t) = T_{o} + \frac{\Delta T}{\Delta t}\cdot t$ (1)

Donde:

$T_{o}$ - Temperatura inicial, en grados Celsius.
$\Delta T$ - Cambio total de la temperatura, en grados Celsius.
$\Delta t$ - Cambio total en el tiempo, en horas.
$t$ - Tiempo, en horas.

Si sabemos que $T_{o} = 3\,^{\circ}C$ , $\Delta T = -12\,^{\circ}C$ . $\Delta t = 3\,h$ y $t = 1\,h$ , entonces la temperatura del congelador al completarse la primera hora es:

$T(1\,h) = 3\,^{\circ}C + \left(\frac{-12\,^{\circ}C}{3\,h} \right)\cdot (1\,h)$

$T(1\,h) = -1\,^{\circ}C$

El congelador tenía una temperatura de -1 °C a la primera hora.

Invitamos cordialmente a ver esta pregunta sobre temperaturas: brainly.com/question/21677542

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3 years ago

3. Uncle Gino's Pizza Parlor sold 200 sausage

Burka [1]

3. They sold 250 pizzas last week.

4. There are 80 tropical fish in the shipment.

5. 150 students were surveyed.

6. The total size of file is 1000 megabytes.

Step-by-step explanation:

3. Uncle Gino's Pizza Parlor sold 200 sausage pizzas last week. That was 80% of the total pizzas they sold. How many total pizzas did they sell last week?

Given,

Pizzas sold last week = 200

This represents 80% of total pizzas sold.

Let,

x be the total pizzas sold.

80% of x = 200

$\frac{80}{100}x=200\\0.8x=200$

Dividing both sides by 0.8

$\frac{0.8x}{0.8}=\frac{200}{0.8}\\x=250$

They sold 250 pizzas last week.

4. The local pet store received a shipment of tropical fish. Seventy-five percent of the tropical fish were clown-fish. If the shipment included 60 clown-fish, how many total tropical fish were in the shipment?

Given,

Number of clown-fish in shipment = 60

This represents 75% of total shipment.

Let x be the total number of fish in shipment.

75% of x = 60

$\frac{75}{100}x=60\\0.75x=60$

Dividing both sides by 0.75

$\frac{0.75x}{0.75}=\frac{60}{0.75}\\x=80$

There are 80 tropical fish in the shipment.

5. In a survey of favorite pets, 45 students said they preferred cats. This was 30% of the total number of students surveyed. How many students took the survey?

Given,

Number of students who preferred cats = 45

This represents 30% of total students surveyed.

Let, x be the number of total students surveyed.

30% of x = 45

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Dividing both sides by 0.3

$\frac{0.3x}{0.3}=\frac{45}{0.3}\\ x=150$

150 students were surveyed.

6. Kara has downloaded 250 megabytes of a file onto her computer. The screen tells her that this is 25% of the total file. How many megabytes is the file?

Given,

File downloaded = 250 MB

This represents the 25% of total size of file.

Let, x be the total size of file.

25% of x = 250

$\frac{25}{100}x=250\\0.25x=250\\$

Dividing both sides by 0.25

$\frac{0.25x}{0.25}=\frac{250}{0.25}\\x=1000$

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Keywords: percentage, division

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3 years ago

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DedPeter [7]

Answer:

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4 years ago

What’s 2/3 divided by 5

NNADVOKAT [17]

Answer:

10/3

3.3reaping

3 1/3

Step-by-step explanation:

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3 years ago

Simplify the following variable expressions​

Simplify the following variable expressions