What is the solution to the inequality 2(x + 3) ≥ –10 – 4x? solve step by step, please.

Sarah consumes approximately 1500 calories per day, which is 5/8 of Ben's 2400 calorie intake.

To find out how many calories Sarah eats per day, we need to perform a multiplication operation. Since it's given that Sarah eats 5/8 as much as Ben, we multiply 2400 (Ben's calorie intake) by 5/8.

Let's get to the calculation: 2400 x 5/8 = 1500. So, Sarah consumes approximately 1500 calories per day.

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Anna can make 9 arrangements. Each has 3 carnations (27 ÷ 9 = 3).

To determine how many carnations would be in each arrangement if Anna made the maximum number of arrangements, we need to find the greatest common divisor (GCD) of 36 and 27.

The GCD of 36 and 27 is 9.

So, Anna can make a maximum of 9 flower arrangements using both roses and carnations.

To find out how many carnations would be in each arrangement, we divide the total number of carnations (27) by the number of arrangements (9):

27 carnations ÷ 9 arrangements = 3 carnations in each arrangement.

Therefore, if Anna made the maximum number of arrangements, there would be 3 carnations in each arrangement.

Answer:  The required surface area of the given cylinder is 4256π cm².

Step-by-step explanation:  Given that the radius of the base of a cylinder is 28 cm and its height is 48 cm.

We are to find the surface area of the cylinder in terms of π.

We know that

the SURFACE AREA of a cylinder with base radius r units and height h units is given by

[tex]S.A.=2\pi r(r+h).[/tex]

For the given cylinder, we have

r = 28 cm   and   h = 48 cm.

Therefore, the surface area of the cylinder will be

[tex]S.A.\\\\=2\pi r(r+h)\\\\=2\pi \times28(28+48)\\\\=56\pi\times 76\\\\=4256\pi~\textup{cm}^2.[/tex]

Thus, the required surface area of the given cylinder is 4256π cm².

Answer:

Step-by-step explanation:

The phrase 'two times the quotient of a number and 3' converts to the variable expression 2(n/3), which simplifies to 2n/3.

The phrase 'two times the quotient of a number and 3' can be translated from word form to a variable expression in algebraic form. A 'quotient' in mathematics is the result of a division. Therefore, the quotient of a number and 3 could be written as n/3, where n is the number. When we say 'two times', this means we multiply this quotient by 2. Hence, the whole phrase comes out to be 2(n/3). Out of the options provided, the correct one is 2 n/3.

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1 meter - 100 cm

14 x 100 = 1400 cm per second

60 seconds per minute

1400 * 60 = 84,000 cm per minute

Another point on the line with a slope of -2/3 passing through (1, 8) is (4, 6). This point is found by moving 3 units right and 2 units down from the initial point.

To find another point on the graph of a line with a given slope and passing through a given point, use the point-slope form of a linear equation.

If a line has a slope of -2/3 and passes through the point (1, 8), we can find another point on the line by moving according to the slope. The slope tells us that for every 3 units we move horizontally (in the x-direction), we move 2 units vertically (in the y-direction), and since the slope is negative, we move in the opposite direction of the increase in x. Hence, starting from (1, 8), if we move 3 units to the right (increase in x), we must move 2 units down (decrease in y).

So to find a new point, we do the following:

Therefore, the point (4, 6) must also lie on the graph of the line.

Answer:

There are 40 students in the class.

Step-by-step explanation:

We are given the following in the question:

Percentage of class that failed = 15%

Percentage of class that made mistakes but did not fail = 25%

Number of students that got perfect score = 24

Percentage of students that got perfect score =

[tex]100\%-\text{Percentage of class that failed}-\text{Percentage of class that made mistakes but did not fail}\\= 100\%-15\%-25\%\\= 60\%[/tex]

Let x be the total number of students in the class.

Then, we can write:

[tex]60\% \text{ of } x = 24\\60\% \times x = 24\\\\\displaystyle\frac{60}{100}\times x = 24\\\\x = 24\times \frac{100}{60}\\\\x = 40[/tex]

Thus, there are 40 students in the class.

The solution to 184 divided by 8 is equal to 23.

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce that the following mathematical expression would represent the "the quotient for 184 divided by 8;"

Expression: 184/8

Solution: 92/4

Solution: 23

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multiply 8 by 1.8

8*1.8 = 14.4 meters

Answer:

second number= 17

Step-by-step explanation:

first number=a

second number=b

third number = c

we have:

a+b+c=51  equation 1

a=2n+1     equation 2

b=2n+3    equation 3

c=2n+5     equation 4

using equations 2, 3 and 4 in equation 1, we have

2n+1+2n+3+2n+5=51

6n+9=51

6n=51-9

6n=42

n=42/6

n=7

so we have

a=(2*7)+1 =15 first number

b=(2*7)+3 =17 second number

c= (2*7)+5 =19 third number

64 times 15 is equal to 32 times 30 is true.

Let's calculate both sides:
64 x 15 = 960
32 x 30 = 960
Therefore, 64 times 15 is equal to 32 times 30 which is true, not false.