Solve the following equation algebraically:
3x² = 375

Answer:

it A the region receives much less rain fall

The total money she repays to the bank is $1297.2.

Given,

Amanda takes out a loan of $1,200 from a bank.

The bank charges 5.4% interest a year.

She borrows the money for 1.5 years.

We need to find the total amount she repays to the bank after 1.5 years.

we have,

Loan amount = $1200

Bank interest rate per year = 5.4%

So,

The interest amount per year:

= 1200 X (5.4/100)
= $64.8

If,

1 year = $64.8

1/2 year = 1/2 x 64.8

1/2 year = $32.4

In 1.5 years the interest amount will be:

1.5 years = 1 year + half-year

               = $64.8 + $32.4

               = $97.2

The total money she needs to pay to the bank after 1.5 years is:

= loan amount + 1.5 interest amount

= $1200 + $97.2

= $1297.2

Thus if she borrows the $1200 for 1.5 years with a yearly interest of 5.4%, she needs to repay $1297.2.

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Answer: Answer D, 42,000 in

Step-by-step explanation:

ok no one cares lol  lolololol

The largest possible error in the area of the circle is of 44%.

The area of a circle of radius r is given by:

\(A = \pi r^2\)

With a diameter of 20 cm = radius of 10 cm, the area in cm² is given by:

\(A = \pi \times 10^2 = 100\pi\)

With the error, with a diameter of 20 x 1.2 = 24 cm = radius of 12 cm, the area in cm² is given by:

\(A = \pi \times 12^2 = 144\pi\)

The error is given by:

\(E = 144\pi - 100\pi = 44\pi\)

The percent error is the error divided by the initial amount, multiplied by 100%, hence:

\(P = \frac{44\pi}{100\pi} \times 100\% = 44\%\)

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It will take Germaine to get the mountain bike 6.77 weeks (approximately)

let X represent the number of weeks it will take to save enough money

Money to buy a mountain bike = $367

He planned to save money every week from his paycheck  = $45

So far, He had saved money already to buy bike = $62

now the required amount to buy a mountain bike is

$367-$62 = $305

Number of weeks Germaine will take to get the mountain bike is

X = 305/45

X = 6.77 weeks (approx)

It will take Germaine to get the mountain bike 6.77 weeks (approximately).

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Answer:

y = 3

Step-by-step explanation:

Find the difference between the y coordinates, Δy is change in y

Δy = y2 - y1

Find the difference between the x coordinates, Δx is change in x

Δx = x2 - x1

Divide Δy by Δx to find slope

m = Δy/Δx

Example: Find the Slope

Say you know two points on a line and their coordinates are (2, 5) and (9, 19). Find slope by finding the difference in the y points, and divide that by the difference in the x points.

The difference between y coordinates Δy is

Δy = y2 - y1

Δy = 19 - 5

Δy = 14

The difference between x coordinates Δx is

Δx = x2 - x1

Δx = 9 - 2

Δx = 7

Divide Δy by Δx to find slope m

m=142

m=7

Line Equations with Slope

There are 3 common ways to write line equations with slope:

Point slope form

Slope intercept form

Standard form

Point slope form is written as

y - y1 = m(x - x1)

Using the coordinates of one of the points on the line, insert the values in the x1 and y1 spots to get an equation of a line in point slope form.

Lets use a point from the original example above (2, 5), and the slope which we calculated as 7. Put those values in the point slope format to get an equation of that line in point slope form:

y - 5 = 7(x - 2)

If you simplify the point slope equation above you get the equation of the line in slope intercept form.

Slope intercept form is written as

y = mx + b

Take the point slope form equation and multiply out 7 times x and 7 times 2.

y - 5 = 7(x - 2)

y - 5 = 7x - 14

Continue to work the equation so that y is on one side of the equals sign and everything else is on the other side.

Add 5 to both sides of the equation to get the equation in slope intercept form:

y = 7x - 9

Standard form of the equation for a line is written as

Ax + By = C

You may also see standard form written as Ax + By + C = 0 in some references.

Use either the point slope form or slope intercept form equation and work out the math to rearrange the equation into standard form. Note that the equation should not include fractions or decimals, and the x coefficient should only be positive.

Slope intercept form: y = 7x - 9

Subtract y from both sides of the equation to get 7x - y - 9 = 0

Add 9 to both sides of the equation to get 7x - y = 9

Slope intercept form y = 7x - 9 becomes 7x - y = 9 written in standard form.

Find Slope From an Equation

If you have the equation for a line you can put it into slope intercept form. The coefficient of x will be the slope.

Example

You have the equation of a line, 6x - 2y = 12, and you need to find the slope.

Your goal is to get the equation into slope intercept format y = mx + b

Start with your equation 6x - 2y = 12

Add 2y to both sides to get 6x = 12 + 2y

Subtract 12 from both sides of the equation to get 6x - 12 = 2y

You want to get y by itself on one side of the equation, so you need to divide both sides by 2 to get y = 3x - 6

This is slope intercept form, y = 3x - 6. Slope is the coefficient of x so in this case slope = 3

How to Find the y-Intercept

The y-intercept of a line is the value of y when x=0.  It is the point where the line crosses the y axis.

Using the equation y = 3x - 6, set x=0 to find the y-intercept.

y = 3(0) - 6

y = -6

The y-intercept is -6

How to Find the x-Intercept

The x-intercept of a line is the value of x when y=0.  It is the point where the line crosses the x axis.

Using the equation y = 3x - 6, set y=0 to find the x-intercept.

0 = 3x - 6

3x = 6

x = 2

The x-intercept is 2

Slope of Parallel Lines

If you know the slope of a line, any line parallel to it will have the same slope and these lines will never intersect.

Slope of Perpendicular Lines

If you know the slope of a line, any line perpendicular to it will have a slope equal to the negative inverse of the known slope.

Perpendicular means the lines form a 90° angle when they intersect.

Say you have a line with a slope of -4. What is the slope of the line perpendicular to it?

First, take the negative of the slope of your line

-(-4) = 4

Second, take the inverse of that number. 4 is a whole number so its denominator is 1. The inverse of 4/1 is 1/4.

The negative inverse of a slope of -4 is a slope of 1/4.

A line perpendicular to your original line has a slope of 1/4.

Answer:

4:3 because 20 divided by 5 is 4 and 15 divided by 5 is 3.

The probability that Z is less than 1.09 can be found by looking up the value of 1.09 in the cumulative standardized normal distribution table. From the table, we can find that the corresponding probability is 0.8621.

To find the probability that Z is less than -0.22 or greater than the mean, we need to find the probability of Z being less than -0.22 and the probability of Z being greater than the mean, and then add them together. From the table, we can find that the probability of Z being less than -0.22 is 0.5871, and the probability of Z being greater than the mean is 0.5. Adding these probabilities, we get 0.5871 + 0.5 = 1.0871.

To find the probability that Z is less than -0.22 or greater than 1.09, we need to find the probability of Z being less than -0.22 and the probability of Z being greater than 1.09, and then add them together. From the table, we can find that the probability of Z being less than -0.22 is 0.5871, and the probability of Z being greater than 1.09 is 1 - 0.8621 = 0.1379. Adding these probabilities, we get 0.5871 + 0.1379 = 0.725.

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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:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

Answer:

\(f(-1)=0\)

Step-by-step explanation:

\(f(a)=2a-2\\\\f(-1)=2(-1)-2\\\\f(-1)=-2+2\\\\f(-1)=0\)

Solution:

Given:

Two boxes - large and small

Generate the system of equations from the statements given:

Solving both equations simultaneously;

Substitute l into equation (3) to get s

Therefore,

Large box: 50 pounds

Small box: 35 pounds

Answer:

x + 3y = -12

Step-by-step explanation:

y = mx + b

m is the slope = rise / run:

rise = 1

run = 3

the line is downhill so its negative

m = - 1 / 3

b is the y intercept which is when the line cross over the y axis: - 4

y = - 1/3x - 4

multiply both sides by 3

3y = -1x - 12

add x to both sides

x + 3y = -12

The relative frequency is solved and the table of values is plotted

Given data ,

The lunch order is given by the 2 sets of dishes as

A = { Sandwich , Pastas }

Now , the sports activities are given by 2 sets as

B = { Volleyball , Swimming }

From the table of values , we get

The relative frequency is solved as

Relative Frequency = Subgroup frequency / Total frequency

The percentage of Swimming ( sandwich ) = 26/36

Swimming ( sandwich ) = 72 %

And , the percentage of Swimming ( pasta ) = 10/36

Swimming ( pasta ) = 28 %

Now , the percentage of total sandwich = 45/70 = 64 %

And , the percentage of total pasta = 25/70 = 36 %

Hence , the relative frequency is solved

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Answer:

-65/12x

Step-by-step explanation:

Answer:

x=21/2, 0

y=0, 7

Step-by-step explanation:

GM/GA = 1/4 in the triangle .

What is centroid of a triangle?

G is the centroid of ABC and D and E are the midpoints of AB and AC respectively.

AG and DE intersect at M.

So,  GM/GA

\(\frac{GM}{GA} = \frac{1}{4}\)

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The complete question is -

G is the centroid of ABC and D and E are the midpoints of AB and AC respectively. AG and DE intersect at M. Find GM/GA

Answer:

P=a+b+c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

-9/2 = -4.5 which is the greatest number from the list

The measure of the angle in degrees is approximately 713 degrees. Note that this result is greater than 360 degrees because the angle is not a standard angle in a plane but a measure in three-dimensional space.

Since 1/360th of the circumference of the circle is 0.5 cm long, the circumference of the circle is 360 times longer, or 180 cm long.

The arc subtended by the angle is 79 cm long, which is a fraction of the entire circumference. To find the angle in degrees, we need to convert the arc length to an angle measure using the formula:

angle measure = (arc length / circumference) x 360 degrees

Substituting the values we know, we get:

angle measure = (79 cm / 180 cm) x 360 degrees

Simplifying the fraction, we get:

angle measure = 1.9833 x 360 degrees

Rounding to the nearest degree, we get:

angle measure ≈ 713 degrees

Therefore, the measure of the angle in degrees is approximately 713 degrees. Note that this result is greater than 360 degrees because the angle is not a standard angle in a plane but a measure in three-dimensional space.

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The exact value of q in the form a + √b. IS -6 + √44 / 2 = -3 + √22.

An equation is a mathematical statement that asserts the equality of two expressions. It contains variables and operators (such as +, -, x, ÷) and the goal is often to find the value of the variables that make the equation true. For example, 2x + 3 = 7 is an equation where x is the variable and the goal is to find the value of x that makes the equation true.

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Answer:

6.3 hours

Step-by-step explanation:

Answer:

If Sara has 2 painting already and paints 3 more each week, and Kevin has 12 paintings already and paints 2 more each week, we go down the list of answers and multiply them by the number of paintings painted each week. So first is 12x2=24 24+12=36    then 12x3=36 36+2=38   now we do 10x2=20 20+12=32   10x3=30 30+2=32 so your answer would be 10 weeks

Step-by-step explanation:

Answer:

x = 69 v = 103

Step-by-step explanation:

Angles in a triangle add up to 180 degrees:

34 + 77 + x = 180

x = 69

Angles on a straight line add up to 180:

77 + v = 180

v = 103

Answer:

Step-by-step explanation:

the sum of the interior angles in a triangles is 180°, take away from 180 the know angles (34° and 77°) and you will have your answer

180 - 34 - 77 = 69°

Now we find angle V

The angle V and the angle of 77 ° are on a straight line, so the sum is 180°, from 180° you subtract 77 ° and you have the value of V

180 - 77 = 103 °

Answer:

(x + 7) = 41

Step-by-step explanation:

Let the number of lions in the wildlife reserve = x

Since, 7 lion cubs were born, so the total number of lions in the wildlife reserve will be (x + 7)

Now total number of lions = 41

Therefore, equation representing this situation will be,

(x + 7) = 41

The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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Answer:

   1/2

Step-by-step explanation:

The ratio of interest is ...

  (1/2 cm)²/(1/2 cm²) = (1/4)/(1/2) = 1/2

One-half centimeter squared is half of 1/2 square centimeter.

Answer:

85.6%

Step-by-step explanation:

I took the quiz and 92.5% was not right.

Answer:

x = 4/7

Step-by-step explanation:

7x - 4

7x = 4

x = 4/7