what value of x satisfies the equation?

Answer: John Graunt

Step-by-step explanation:

John Graunt is referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data.

He's regarded as the founder of demography which is the statistical study of the population of human beings.

Using linear equation, Salma needs 14 number of visit to movie theater to get free movie ticket.

Since we know that,

In a linear equation, the variable's maximum power always equals 1. It is sometimes referred to as a one-degree equation.

The usual form of a linear equation with one variable is written as Axe + B = 0.

In this case, x is a variable, A is a coefficient, and B is a constant.

The typical form of a linear equation with two variables is Axe + By = C. Here, x and y are the variables, A and B are the coefficients, and C is the constant.

Now linear equation is given by,

⇒ y= mx + c

Salma has 35 rewards points just for signing up and 5.5 points for each visit.

Then equation became,

⇒ 35+5.5x = 112

⇒       5.5x  = 112 - 35

⇒        5.5x = 77

⇒             x = 14

therefore, she needs 14 number of visits to movie theater.

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Answer:

a symbol usually a letter standing for an unknown numerical value in an equation

Step-by-step explanation:

In order to determine the critical values for an independent-samples T-test, the following information needs to be known:

The critical values for an independent-samples t test are used to determine if the differences between two samples are statistically significant. In order to calculate the critical values, the size of the sample (n), the significance level (alpha), the degrees of freedom (df), and the type of t-test (one-tailed or two-tailed) must be known. The degrees of freedom are equal to the number of observations in the sample minus

The size of the sample is the total number of observations in the two samples. The significance level is the probability of making a type-I error (rejecting the null hypothesis when it is true). Finally, the type of t-test is used to determine if the test is one-tailed (testing for a difference in one direction) or two-tailed (testing for a difference in both directions). Once all of this information is known, the critical values can be calculated to determine if the differences between the two samples are statistically significant.

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Answer:

Step-by-step explanation:

Total no. of children = 366

let the number of boys be x

and the no. of girls be x + 28

According to the question,

x + x + 28 = 366

2x + 28 = 366

2x = 366 - 28

2x = 338

x = 338 / 2

x = 169

So the no. of boys = x = 169

and the no. of girls = x + 28 = 169 + 28 = 197

( you can also recheck it by adding the no. of boys and the no. of girls

that is, 169 + 197 = 366 which equal to the total no. of children )

Hope this helps

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The farmer should plant 40 trees per acre to maximize her yield to harvest.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let F be the number of fruit per acre  

\(F = (70 + x) \times (30 - 3x) \\F = 70 \times 30 - 70 \times 3x + 30 \times x - 3x^2 \\F = 2100 - 210 x + 30x - 3x^2 \\F = 2100 - 180x - 3x^2\)

Factor out the 3 and complete the square

\(F = -3x^2 - 180x + 2100\\F = -3 \times (x^2 + 60x - 700) \\F = -3 \times (x^2 + 2 * 30x + 30^2 - 30^2 - 700) \\F = -3 \times ((x + 30)^2 - 500 - 900) \\F = -3 \times ((x + 30)^2 - 400) \\F = -3 \times (x + 30)^2 + 1200\\\)

So the vertex is at (-30, 1200)  

70 - 30 = 40  

The farmer should plant 40 trees per acre to maximize her yield to harvest.

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Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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Answer: 10.3 years

Step-by-step explanation:

To solve this you can use the Rule of 72.

This rule enables us to find out the amount of time it would take for a quantity to double if it is growing at a certain rate.

Formula is:

= 72 / Interest rate as whole number

= 72 / 7

= 10.3 years

Answer:

(B) (1.50, 2.0)

(E) (1 and one-half, 2)

Step-by-step explanation:

On the coordinate plane

The bleachers is 1.5 units to the right and 2 units up.

1.5 units to the right indicates a positive value on the x-axis. Therefore, the bleachers x-coordinate is 1.5.

2 units up indicates a positive value on the y-axis. Therefore, the bleachers y-coordinate is 2.

Therefore, we can write the bleachers location in the (x,y) coordinate system as: (1.5,2)

The following ordered pairs shows the bleacher's location.

Answer:

B and E

Step-by-step explanation:

Total 56 bags of hardwood and 140 bags of pine bark bags are sold.

In the given question, a local boys club sold 196 bags of mulch and made a total of $357.

It sold two types of mulch: hardwood for $2.00 a bag and pine bark for $1.75 a bag.

We have to find how many bags of each kind of mulch did it sell.

Let total number of x bags of hardwood sell.

Let total number of y bags of pine bark sell.

Now the equation should be

2x + 1.75y = 357............................(1)

Total number of bags sold 196.

So x + y = 196............................(2)

From the equation 2 the value of x = 196-y. Now putting the value of x in equation 1.

2(196 - y) + 1.75y = 357

392 - 2y + 1.75y = 357

392 - 0.25y = 357

Subtract 392 on both side, we get

-0.25y = -35

Divide by -0.25 on both side, we get

y = 140

Now putting the value of y in x = 196-y

x = 196 - 140

x = 56

Hence, 56 bags of hardwood and 140 bags of pine bark bags are sold.

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Answer:

See below

Step-by-step explanation:

The LHS and RHS are exactly the same, so the equality is true.

The associate property of addition says that

\(\boxed{a+(b+c)=(a+b)+c}\)

In order to make the addition of fractions, the denominators should be same. So we can write three fractions as one.

\(\dfrac{1}{2} +\left(\dfrac{2}{3}+\dfrac{3}{4} \right )\)

\(\dfrac{1}{2} +\dfrac{2}{3}+\dfrac{3}{4}\)

\(\dfrac{1\cdot 6 }{2\cdot 6} +\dfrac{2 \cdot 4}{3 \cdot 4}+\dfrac{3 \cdot 3 }{4 \cdot 3}\)

\(\dfrac{ 6 }{12} +\dfrac{8}{12}+\dfrac{9 }{12}\)

\(\dfrac{ 23 }{12}\)

Answer:

You gotta give me (us) more to work with homie.

Step-by-step explanation:

If I have more of a picture with it I could possibly help but all there is a barely readable and legible nonsense equation. Sorry :(

Answer:

2/3

Step-by-step explanation:

Time it would take Sarah to complete the work in one hour = work completed in 1/4 hours x 4

We are multiplying by 4 because there are 4, 1/4 in an hour

1/4 + 1/4 + 1/4 + 1/4 = 1 hour

\(\frac{1}{6}\) × 4 = \(\frac{4}{6}\)

To transform to the simplest form. divide both the numerator and the denominator by 2

= \(\frac{2}{3}\)

Answer:

Answer: x<7.1

Step-by-step explanation:

\({ \tt{4.7 > x - 2 \frac{2}{5} }} \\ \\ { \tt{4.7 > x - \frac{12}{5} }} \\ \\ { \tt{x < 4.7 + \frac{12}{5} }} \\ \\ { \boxed{ \tt{x < 7.1}}}\)

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

6/0.20 = 30.

Since to Normally find a percentage of a number, you would Multiply the percentage in decimal form, multiplied times the full amount, to get a percentage. ( 30*0.2 = 6)

So to find the full amount (in this case of students) Reverse this process, and divide the Portion by the percentage (In this scenario, 6/0.20) and you will get the full amount.

I hope this helps!

Answer:

The function rule is f(x)=2x+3. It cut the three out.

Step-by-step explanation: cut the three out

Answer:

i'm pretty sure its elimination  

Answer:

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                            y - y₁ = m(x - x₁)

m = -5

(-2, 7)    ⇒   x₁ = -2,  y₁ = 7

y - 7 = -5(x - (-2))

y - 7 = -5(x + 2)            

(a, 2)   ⇒   2 - 7 = -5(a + 2)

                   -5 = -5a - 10

                   5a = 5 - 10

                     5a = -5

                       a = -1

Answer: 9(9)+ 5 = 86

Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86

Answer:

x = 9

Step-by-step explanation:

9x + 5 = 86, minus 5 of both sides

9x = 81, divide 9 on both sides

x = 9

Answer:

this equation has exactly 1 solution

Step-by-step explanation:

Answer:

10 i think

Step-by-step explanation:

Answer: 10 pounds per year

The given unit rate is 30 pounds every 3 years.

Now, we will divide 30 pounds by 3 years.

30 pounds ÷ 3 years = 10 pounds per year

The answer is 10 pounds per year.

Answer: the common number is 8 for 151 and 152

Step-by-step explanation: hope this helps

Answer:

m∡r = 35°

m∡t = 145°

m∡u = 35°

m∡v = 90°

m∡w = 125°

Step-by-step explanation:

m∡r = 180-(134+11)

= 180 - 145

m∡r = 35°

m∡r + m∡t = 180°

35 + t = 180

m∡t = 145°

m∡t + m∡u = 180°

145 + u = 180

m∡u = 35°

m∡u + m∡v + 55° = 180°

35 + 55 + m∡v = 180

m∡v = 90°

m∡w + 55° = 180°

m∡w  = 125°

The equation describing Linda's Age and Liam's age will be: Liam's Age(Baby Brother) + 3 = Linda Age.

An equation means the formula that expresses the equality of two expressions by connecting them with the equals sign =.

Here, let us denote Linda's age as L and Liam's age as B. We are given that Linda is 3 years older than Liam, so we can write the equation as L = B + 3

This equation states that Linda's age (L) is equal to Liam's age (B) plus 3 years. Therefore, Linda's age can be determined by adding 3 years to Liam's age.

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Answer:

The area of the image is equal to the area of the pre-image multiplied by the scale factor.

The area of the dilated trapezoid is __54*2/3=36_ square centimeters.

Answer:

there is no division symbol on laptops, but you could either search it up and copy and paste it or write it as a fraction

Answer:

I believe you can do / for division, the same symbol for fractions, on most, however, there is another way.

I typed Alt-246. Press and hold the Alt key while you type 2 4 6 on the numeric keypad, not the numbers across the top of the keyboard. You need to have Num-lock on.

÷

Another useful one is Alt-241, which is the plus or minus symbol: ±

These are extended ASCII codes. They work on a PC. There is something similar on a Mac, but I don't know what it is. You could look it up on the internet.

Answer:

45 dogs

Step-by-step explanation:

so she has $550 and she did 20 cats and it costs $5 per cat and 5 x 20 is $100 and $550 - $100 = 450 and 450 divided by 10 ( because it's $10 per dog) is 45.

the denominator goes to infinity as x approaches infinity, the limit approaches 0. Therefore, the limit of x/(x^2+5) as x approaches infinity is 0.

If you try to use L'Hopital's rule to find the limit of lim x → ∞ x/(x^2+5), you would end up with an indeterminate form of ∞/∞, which means that L'Hopital's rule is inconclusive. In this case, you can use other methods to evaluate the limit.

One such method is to divide both the numerator and the denominator by the highest power of x, which in this case is x^2. This gives:

lim x → ∞ x/(x^2+5) = lim x → ∞ 1/(x+5/x^2)

what is limit?

In mathematics, a limit is the value that a function or sequence "approaches" as the input or index approaches a certain value. In other words, the limit of a function f(x) as x approaches a value c (written as lim x → c f(x)) describes the behavior of f(x) near c.

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