What’s the Y and X intercepts?
12x + y = 120

Answer:

1/9 rise 1 run 9

Step-by-step explanation:

if you graph the y coordinate as 3 and find the x value, x value should be 0. Point (0,3) and (-9,2) and do rise over run

Answer:

Segment J’K lies on line g and has a slope of -1/3

Step-by-step explanation:

Im taking the test but I need step 4 but step 5 is filled in for me

Answer:

In case you get the same question

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final expression of -16\(x^{8}\) / -8\(x^{9}\) is 2/x.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-16\(x^{8}\) / -8\(x^{9}\)

= (-16/-8)\(x^{8 - 9}\)

= 2 \(x^{-1}\)

= 2/x

Thus,

The final expression of -16\(x^{8}\) / -8\(x^{9}\) is 2/x.

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Answer:

x=4

Y=1

Step-by-step explanation:

x-3y=1

x=3y+1

2(3y+1)-y=7

6y+2-y=7

5y+2=7

5y=5

Y=1

2x-1=7

2x=8

x=4

Hopes this helps please mark brainliest and please tell me if you need more clarification

Answer:

x = 3.85

y = 5/7

Step-by-step explanation:

multiply the first equation by 2

2x-6y=2 [1]

2x-y=7 [2]

subtract [1] from [2] and you're left with

–7y = –5

so,

y = 5/7

substitute y = 5/7 into [2],

2x ‐ y=7

2x – 5/7 = 7

2x = 7 5/7

x = 3.85 (to 3 significan figures)

Answer:

81°

Step-by-step explanation:

So you subtract those two number to find the missing angle and get 81°.

Answer:

a) Figure B and Figure C

b) Figure C

c) Figure A, Figure B, and Figure C

Step-by-step explanation:

a) Rectangles are shapes that have four sides, and four right angels. Right angles are angles that are 90 degrees.

The only shapes with four sides AND four right angles are Figure C and Figure B.

b) Squares are shapes with four EQUAL sides and four right angles. The only shape with four equal sides and four right angles is Figure C.

c) Parallelograms are any shapes with four sides. All of these shapes have four sides.

Hope this helps!

Answer:

= 8.24 × 10³

(scientific notation)

= 8.24e3

(scientific e notation)

= 8.24 × 103

(engineering notation)

(thousand; prefix kilo- (k))

= 8240

(real number)

How do you convert from scientific notation to standard form?

To change a number from scientific notation to standard form, move the decimal point to the left (if the exponent of ten is a negative number), or to the right (if the exponent is positive). You should move the point as many times as the exponent indicates.

20.49 trillion is 412.25% larger than 4.00 trillion.

To calculate the percentage increase of a value from an initial value to a final value, you can use the following formula:

increase in percentage = ((final value - initial value) / initial value) x 100%

Percentage increase is useful in a variety of contexts, including: Finance, Sales, Economics, Science, Education. Percentage increase is a useful tool for measuring growth or change over time and comparing different values.

To find the percentage increase, we first need to calculate the difference between the two numbers:

20.49 trillion - 4.00 trillion = 16.49 trillion

Next, we can divide the difference by the original amount (4.00 trillion) and multiply by 100 to get the percentage increase:

(16.49 trillion / 4.00 trillion) * 100 = 412.25%

Therefore, 20.49 trillion is 412.25% larger than 4.00 trillion.

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Answer:

We know that the ratio of length and breadth of a rectangular playground is 3:2

Then if the length is L, and the breadth is B, we have the relationship:

L = (3/2)*B

Outside this playground, we have a jogging track of 2m, then if we also consider the jogging track the length and breadth are:

L' = L + 2m

B' = B + 2m

The area is the product between the area and the breadth, then the area is:

A = B'*L'

A = (L + 2m)*(B + 2m)

And remember that L = (3/2)*B

Then we get:

A =  ((3/2)*B + 2m)*(B + 2m)

And the area is 2816 m^2

Then we have:

A =  ((3/2)*B + 2m)*(B + 2m) = 2816 m^2

Now we can solve the equation:

((3/2)*B + 2m)*(B + 2m) = 2816 m^2

(3/2)*B^2 + 3m*B + 2m*B + 4m^2 = 2816 m^2

(3/2)*B^2 + 5m*B =  2816 m^2 - 4m^2 = 2812m^2

Then we can write:

(3/2)*B^2 + 5m*B -  2812m^2 = 0

We can solve this if we use Bhaskara's formula:

\(B = \frac{-(5m) +- \sqrt{(5m)^2 - 4*(3/2)*(-2812m^2)} }{2*(3/2)} = \frac{-5m +-130m}{3}\)

One solution is negative, so we can discard that one, then we only take the positive:

B = (-5m + 130m)/3 = 41.67m

And L = (3/2)*B

L = (3/2)*40.7m = 62.5m

The breadth is 41.67 meters and the length is 62.5 meters.

Answer:

okay maybe try alliteration...

Answer:

  -12 m/km

Step-by-step explanation:

You want to know the average elevation change per kilometer given the elevation changes from 876 meters to 672 meters over a distance of 17 kilometers.

The average elevation change per kilometer is found by dividing the elevation change by the number of kilometers. The elevation change is the difference between the ending elevation and the starting elevation.

  rate of change = ((end elevation) -(start elevation))/(distance)

  = (672 m -876 m)/(17 km) = (-204 m)/(17 km) = -12 m/km

The average elevation change is -12 meters per kilometer traveled from the lodge.

__

Additional comment

Expressing both dimensions in the same unit, we can find the average grade of the road to be ...

  (-12 m)/(1000 m) = -0.012 = -1.2% . . . . . average grade of the road

The expression that is equivalent to 212 multiplied by 62 is option A

Among the given expressions, the one that is equivalent to 212 multiplied by 62 is option A. The expression 212 multiplied by 62 can be calculated as follows:

A = 212 x 62

A = 13,144

Therefore, option A, 13,144, is the correct answer.

It is important to note that this response is provided based on the information given in the question.

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Answer:

A rate is two variables that relies on each other so a example would be a projectile and a cannon, in relation the cannon goes no where while the projectile is flying through the air

Step-by-step explanation:

Answer:

The point in which the graph crosses the x-axis is called the x-intercept and the point in which the graph crosses the y-axis is called the y-intercept.

Step-by-step explanation:

The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)

Answer:

14

Step-by-step explanation:

First, we have to get the breadth value.

By the pythagoras theoreom,

Diagonal²=length² + breadth²

breadth = √( Diagonal²- length²)

breadth = √( 5² - 4²)

breadth = √9

breadth= 3

Perimeter of a rectangle = 2x ( length + breadth)

                                         = 2 x (  4 + 3)

                                         = 2 x 7

                                         = 14

Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.

We know that, to find volume:

Volume = π * \(r^2\) * h

For the smaller stockpot:

Radius (r) = 2.5 inches

Height (h) = 10 inches

Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches

For the larger stockpot:

Radius (r) = 2.5 inches

Height (h) = 16 inches

Volume = π * (2.5)² * 16

             ≈ 628.32 cubic inches

Thus, the volume of larger one is 628.32 cubic inches.

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Answer:

Step-by-step explanation:

Given:

The segment QR is horizontal as both have same y- coordinate of -6.

The distance between Q and R is the distance between x- coordinates:

Answer:

10

Step-by-step explanation:

i took the test flvs right segmant exam

The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

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The equation a+b+c+d=15 has infinite many solutions

From the question, the equation is given as

a+b+c+d = 15

From the above representation of the equation, we can see that:

When a linear equation that has more than one variable is given, the number of solutions cannot be quantified i.e. infinite number of solutions

Hence, the equation has infinite number of solutions

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Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees

This is one single number. The number is slightly larger than 163 thousand.

====================================================

Explanation:

Consider four slots labeled A,B,C,D

We have....

There's a countdown going on (46,45,44,43) when filling up the slots. This countdown is because we cannot reselect any specific person for multiple slots at the same time.

If order mattered, then we'd have 46*45*44*43 = 3,916,440 permutations possible.

However, order doesn't matter. For any group of 4 people, there are 4! = 4*3*2*1 = 24 ways to arrange them. So we must divide the previous result over 24 to get (3,916,440)/24 = 163,185

This means there are 163,185 different combinations and this is the number of possible samples of size 4 from a population of 46 people. The order of any sample doesn't matter.

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Based on the above, David must save $150 each month to cover the money left over for his first year of college.

To calculate the savings that David must make monthly for the next 5 years we must carry out the following procedure:

His uncle gave him $12,000 so we must subtract this value from the total he needs.

So he must save $9,000 in 5 years.

According to the above, he must save $1,800 per year, so each month he should save $150.

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\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)

Answer:

That would be 549.5 cubic inches of cat litter (approximately).

Step-by-step explanation: The cylindrical storage container has a height of seven inches and a radius of five inches. To know how much cat litter would fill it requires us to calculate the volume of the container.

The volume of a cylinder is given as,

Volume = Pi x r^2 x h

Where r is the radius, h is the height and Pi shall be taken as 3.14

We can now substitute for the known values as follows;

Volume = 3.14 x 5^2 x 7

Volume = 3.14 x 25 x 7

Volume = 549.5

Rounded to the nearest tenth, the container would be filled with 549.5 cubic inches of cat litter.

Answer:

The volume is 471.2 units squared.

Step-by-step explanation:

The formula for the volume of a cylinder is \(\pi r^{2} h\), where r is the radius and h is the height.

Inputting the values \(r=5\) and \(h=6\) the formula becomes \(\pi 5^{2}6\). \(5^{2}\) is 25. 25 times 6 is 150. Using a calculator to multiply by \(\pi\), we get the answer.

Answer:

Step-by-step explanation:

5

Answer:

8%

Step-by-step explanation:

Solving our equation

r = 2800 / ( 7000 × 5 ) = 0.08

r = 0.08

converting r decimal to a percentage

R = 0.08 * 100 = 8%/year

The interest rate required to

accumulate simple interest of $ 2,800.00

from a principal of $ 7,000.00

over 5 years is 8% per year.