Find three consecutive integers whose sum is 35.

Answer: Hence, 25000 patients are fully satisfied with their treatment plan .

Step-by-step explanation:

In a sample of 600 patients , there are 500 patients who were fully satisfied with their treatment plan.

So fraction is given by

[tex]\frac{500}{600}=\frac{5}{6}[/tex]

Now, if we have 30,000 patients ,

then ,the number of patients who were fully satisfied is given by

[tex]\frac{5}{6}\times 30000\\\\=\frac{150000}{6}\\\\=25000[/tex]

Hence, 25000 patients are fully satisfied with their treatment plan .

The answer you are looking for is -3.

To find this answer, you must get "n" by itself. First subtract 5 from both sides. You would get (-8)n = 24, which you then divide -8 on both sides, to get a final answer of n = -3.

I hope this helps!

We are given : The mass of a grain of sand = [tex]10^{-3} grams.[/tex]

Bag contains = 10 kilograms of sand.

Let us concert 10 kg into grams first.

1 kg = 1000 grams.

10 kg = 10 × 1000 = 10000 grams = 10^4.

Therefore, bag contains 10^4 grams of sand.

Therefore, number of grains of sand are in the bag of sand of 10^4 grams =

The mass of a grain of sand in grams ÷ The mass of a grain of sand.

[tex]\frac{10^4}{10^{-3}}[/tex]

=[tex]10^{4-(-3)}[/tex]

=[tex]10^{4+3}[/tex]

[tex]=10^7  \ grains \ of \ sand.[/tex]

Therefore, [tex]10^7[/tex] grains of sand are in the bag of 10kg sand.

39/50= 0.78 times 100= 78

78 is Donovan's score

if maci's score is 10 percentage points higher

78+10=88

x /50 =0.88 times 100= 88

x=44

each question is 2 points:  88-78= 10/2=5

Maci answered 5 questions correctly.

The answer for a would be -2 and for b it would be -3. If you added both -2 and -3 together, you would get a sum of -5, and when for the other equation, the negative in front of b will cancel out the negative in front of -3, making it 3, and when you subtract -2 and 3, you'll end up with a difference of 1. a= -2  b= -3

Answer:

$375.00

Step-by-step explanation:

Answer: $15000

Step-by-step explanation:

The formula to calculate the simple interest is given by :-

[tex]S.I.=P\times r\times t[/tex], where P is the principal amount , r is the rate of interest and t is the time period.

Given: Interest amount = $3,375

Rate of interest = 4.5%=0.045

Time period = 5 years

Let P be the principal amount, then we have

[tex]3375=P\times 0.045\times 5\\\\\Rightarrow\ P=\dfrac{3375}{0.045\times 5}=15000[/tex]

Hence, the principal amount of the account was $15000.

The difference between 12 Celsius and -10 Celsius is 22 degrees.

There are 20 different, whole number, specific degrees between 12 and -10 Celsius.

Answer:

The correct answer is 9.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Takala put 9 marbles in the box, jackie put in 7, and laird put in 11.

Before continuing, the most convenient is to add these three things:

9 + 7 + 11 = 27.

We now know that those 27 were divided equally to each other, that is 27: 3.

So we just have to divide:

27: 3 = 9

In this way we can verify that each person obtained 9.

Answer:

5.3

Step-by-step explanation:

One rational number can be 5.3

It is rational because it has terminating decimal expansion

This answer explains the concepts of perpendicular lines, parallel lines, and skew lines in relation to a given line and plane.

1. Perpendicular lines are lines that intersect at a 90-degree angle. In the case of line QR, any line that intersects QR at a right angle would be perpendicular to it.

2. Parallel lines are lines that never intersect. So, any line that never intersects QR would be parallel to it.

3. Skew lines are lines that are not parallel and do not intersect. So, any line that does not intersect or run parallel to QR would be skew to it.

4. To have a line parallel to a plane LMQ, the line must never intersect the plane. Any such line would be parallel to plane LMQ.

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32.3 is a decimal number in which 3 is the digit at the tenth place.

Mixed number contains a whole number and a fraction part.

32.3 expressed as mixed fraction is [tex]32\frac{3}{10}[/tex] , here 32 is the whole number  and [tex]\frac{3}{10}[/tex] is the fraction part.

[tex]\frac{3}{10}[/tex] is the fraction in the simplest form.

For this reason, 32.3 expressed as a mixed number in the simplest form is [tex]32\frac{3}{10}[/tex].

The rate of change is the slope of a line.  The slope of the line can be calculated using the formula [tex]\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }[/tex].  To find the slope of a line using this formula, it is necessary to know two of the points on the line.

So basically you just want to isolate the variable. So you want n on a side all by itself. so first you multiply by -2 to both sides, that will leave you with the equation n+4=18, then you subtract 4 from both sides, this will give you the equation n=14. To make sure this solution is correct, you can plug it back into the equation filling 14 in for n, this equation is 14+4/-2=-9, and this solution works. Hope this helped :)

Standard Form is ...

ax + by = c

where a ≥ 0, b > 0 (if a=0), and {a, b, c} are mutually prime integers (unless irrational numbers are involved).

You can get there from where you're starting in a couple of steps. Multiply by the least common denominator of any fractions. (Here, you multiply by 4.) Then put the variable terms on the opposite side from the constant term. Make sure the leading coefficient is positive.

... 4y -4 = x -12

... x -4y = 8 . . . . add 12-4y

{(–1, 1), (–2, 1), (–2, 2), (0, 2)}

In a function, each input has an output

Each domain has a range. In a function, range can be repeated but domain cannot be repeated. Same domain cannot have two range values.

Here domain is {-1, -2, -2, 0}

Range is { 1, 1, 2, 2}

Domain -2 is repeating so this relation is not a function

Answer : No; a domain value has two range values.

Final answer:

The average yearly rate of change in US college enrollment from 1990 to 2000 was 110,000 students per year.

Explanation:

To calculate the average rate of change in the number of students enrolled in US colleges per year from 1990 to 2000, we can use the following formula: Average rate of change = (Final value - Initial value) / Number of years. In this case, the initial value (1990 enrollment) is 13.8 million students, and the final value (2000 enrollment) is 14.9 million students. The number of years between 1990 and 2000 is 10 years. So, the calculation would be:

Average rate of change = (14.9 million - 13.8 million) ÷ 10 = 1.1 million ÷ 10 = 0.11 million students per year.

This means that, on average, the number of students enrolled in US colleges increased by 110,000 students per year over the 10-year period from 1990 to 2000.

The answer would be 9/5

Root 81 =9

Root 25 =5

Answer: 93 dancers did not get on the show.

Step-by-step explanation: Okay to figure this out you change 62% into a decimal which is 0.62. You then multiply 150 by 0.62 and you get your answer which is 93 dancers. I hope this helped! (:

[tex]x=4.\overline{05}\\\\x=4.050505...\qquad|\cdot100\\\\100x=405.050505...\\\\100x-x=405.050505...-4.050505...\\\\99x=401\qquad|:99\\\\x=\dfrac{401}{99}[/tex]

32.83 because using a calculator, you punch in numbers 4.9 and 6.7 together. Then, you press the equal sign to get 32.83

the best way to understand is putting a number in place of x and seeing if they are equal to eachother so just to make it simple i'll make x=6

so your first equation is 2(6)/3 =12/3=4 now the other equation would be (2/3)6 = 6

i actually solved it putting 2 in place of x and got the same answer for both so i think they're the same

X= be coffee

Y=be donuts

Set up equations

10x+5y=16.50

5x+10y=14.25

Now multiply first equation by -2 to get a negative

(-2)10x+5y(-2)=16.50(-2)

-20x-10y=-33

Now put both equations to solve for x

-20x-10y=-33

5x+10y=14.25

___________

-15x. = -18.75

Now divide -15 bith sides to get x alone

X= -18.75/-15

X= 1.25

The cost of each coffee cup$1.25

The cost of each coffee cup will be equal to $1.25.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that on Monday joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the office. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of 14.25.

The cost will be calculated by forming linear expressions below,

X= be coffee

Y=be doughnuts

The equations can be written as,

10x+5y=16.50

5x+10y=14.25

Now multiply the first equation by -2 to get a negative.

(-2)10x+5y(-2)=16.50(-2)

-20x-10y=-33

Now put both equations to solve for x

-20x-10y=-33

5x+10y=14.25

___________

-15x. = -18.75

Now divide -15 on both sides to get x alone,

X= -18.75/-15

X= $1.25

To know more about an expression follow

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Option: D is the correct answer.

               D)       [tex]y=\dfrac{1}{2}x+2[/tex]

A line is said to be steepest if the modulus of the slope is greatest and it is least steep if the modulus of the slope i.e. |m| is least.

We know that the slope intercept form of a line is given by:

[tex]y=mx+c[/tex]

where m is the slope of the line and c is the y-intercept of the line.

A)

[tex]y=4x-3[/tex]

The slope of line is: 4

i.e. m=4

and |m|=4

B)

[tex]y=\dfrac{-3}{4}x+5[/tex]

the modulus of slope is:

[tex]|m|=\dfrac{3}{4}=0.75[/tex]

C)

[tex]y=-10x-8[/tex]

The modulus of slope of line is:

[tex]|m|=10[/tex]

D)

[tex]y=\dfrac{1}{2}x+2[/tex]

The slope of the line is:

[tex]|m|=\dfrac{1}{2}=0.5[/tex]

The modulus of slope of line in options D is smallest.

Hence, the line in option: D is least steep.

4x = 5x - 12

First you want to subtract 5x from both sides:

5x will cancel out

4x - 5 = -1

Next you want to divide -1 on both sides:

-1 will cancel out

-12/-1 = 12

Since there are two negatives it turns into a positive.

So your answer is x = 12.

Hope this Helps!!

4x = 5x - 12

12 = 5x - 4x

12 = x

To graph the equation, use the given slope and point to plot two points and draw a line through them.

To graph the equation y - 2 = -3/4 (x - 6) using the given point and slope, we can follow these steps:

f(x + 3) = 2x² + 9x + 13

substitute x = x + 3 into f(x)

f(x + 3) = 2(x + 3)² - 3(x + 3) + 4 = 2(x² + 6x + 9) - 3x - 9 + 4

f(x + 3 ) = 2x² + 12x + 18 - 3x - 9 + 4 = 2x² + 9x + 13

Answer:

(c) 4.1 km

Explanation:

We are given that the height of the balloon is 4 km and that it is 1 km away from the station.

Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image

where:

height of the balloon = 4 km represents one side of the triangle

distance between the base of the balloon and the station = 1 km represents the other side

distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.

To get the length of the hypotenuse, we will use the Pythagorean theorem

[tex]hypotenuse = +\sqrt{(side1)^2 + (side2)^2}[/tex]

Substitute with the givens:

[tex]hypotenuse = +\sqrt{(4)^2 + (1)^2}[/tex] = √17 ≈ 4.1 km

Hope this helps :)