Find the y-intercept of the line on the graph.
Enter the correct answer.

Answer:

x = 8

y = 30

Step-by-step explanation:

10x + 6y = 260

5x + 7y = 250

we can use the elimination method by multiplying the second equation by -2 to get:

-10x - 14y = -500

now we can add them together:

10x + 6y = 260

-10x - 14y = -500

the 'x' will be eliminated and we have -8y = -240

y = 30

plug 30 into either equation to solve for 'x':

10x + 6(30) = 260

10x + 180 = 260

10x = 80

x = 8

Answer:

20.68976

Step-by-step explanation:

Convert the percentage into decimal :

58% = 0.58

0.58 × x = 12

Divide both sides by 0.58 :

x = 12÷0.58

x = 20.689655...

x = 20.68976

So the method to these types of question is to make the question into an equation by converting the percentage into a decimal, rearrange to make the unknown number the subject and solve .

Hope you understood and have a good day

Answer:

-12

Step-by-step explanation:

x/4 +24 =21 /×4

x +96 =84

x=84 - 96

x=-12

Answer:

Step-by-step explanation:

perimeter=2(l+w)=2(17+14)=2(31)=62 m

cost of fencing=62×25=1550 Rs.

Answer:

4 in

Step-by-step explanation:

Surface area = 1/2 ( 5x12) *2   + 5 x h  + 13 * h +  12 x h

                                 60 + 30h = 180

                                          h = 4 in

just a quick addition to "jsimpson11000" posting above

keeping in mind that for a triangular prism, the base is always the triangular face.

Check the picture below.

\(5h~~ + ~~12h~~ + ~~\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(12)(5) \right]}~~ + ~~13h~~ = ~~180 \\\\\\ 60+30h=180\implies 30(2+h)=180\implies 2+h=\cfrac{180}{30} \\\\\\ 2+h=6\implies \boxed{h=4}\)

Answer:

Step-by-step explanation:

.In this case (16)2 / (6)2 or 7.1111The larger pizza has (7.1111)(610) calores

Answer:

To solve this problem, we first need to understand that the number of calories in a pizza doesn't depend on its diameter but on its area. The reason is simple: the more pizza there is, the more calories it contains. And the area of a pizza (or any circle) increases with the square of the radius.

The area of a circle is given by the formula πr^2, where r is the radius.

The 6-inch pizza has a radius of 3 inches, so its area is π(3^2) = 9π square inches.

The 16-inch pizza has a radius of 8 inches, so its area is π(8^2) = 64π square inches.

The 16-inch pizza is 64π/9π = 64/9 ≈ 7.11 times the area of the 6-inch pizza, and therefore should have roughly 7.11 times the calories, assuming the pizzas are made with the same proportions of ingredients.

So, the 16-inch pizza should have approximately 610 calories * 7.11 = 4337.1 calories.

If the 16-inch pizza is cut into 8 slices, each slice would have approximately 4337.1 calories / 8 = 542.14 calories.

Keep in mind this is an estimate as it assumes that the distribution of ingredients (and therefore the distribution of calories) is uniform across the pizza, which might not be the case in reality. But it gives a good first approximation.

Answer:

4k-2/3

Step-by-step explanation:

Answer:

We have the points:

(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)

First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:

f(x) = f(-x)

And in this case we have:

f(-2) = 4 = f(2)

f(-1) = 1 = f(1)

Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).

Such that:

f(x) = a*x^2 + b*x + c

Now let's use the known points to find our equation, we start with (0, 0)

f(0) = 0 = a*0^2 + b*0 + c

then c = 0.

f(x) = a*x^2 + b*x

Now let's use the points (1, 1) and (-1, 1)

f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1

       a + b = a - b

           +b = -b

           2*b = 0

Then we must have b = 0

f(x) = a*x^2

And now we can use the point (2, 4)

f(2) = 4 = a*2^2 = a*4

Then  a = 1.

Our function is f(x) = 1*x^2

The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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Answer:

18/120 - 21/150

Step-by-step explanation:

I got it right on a assignment.

To find the area of the arena, you will need to find the areas of the rectangular spaces and the 2 semicircles. Because the formulas are given, I will just substitute in the values and show the work for finding the areas.

To find the perimeter, you will look at the distances of lines that take you around the space. Because two of these spaces are half circles, you will need to find the circumference of the full circle.

Also, the answers need to be given in meters, so all units given in centimeters will be divided by 100 to convert them to meters.

Perimeter:

C= 3.14 x 20 m

C = 62.8 meters

62.8 + 8 + 25 + 8 + 5 + 8 + 10 + 8 + 40= 174.8 meters for the Perimeter

Area:

A = 25 x 8

A = 200 square meters

A = 10 x 8

A = 80 square meters

A = 20 x 40

A = 800 square meters

A = 3.14 x 10^2

A = 314 square meters

Total Area: 314 + 800 + 80 + 200= 1394 square meters

Answer:

yes

Step-by-step explanation:

Answer:

It's 15

I know you know it.

Answer:

The answer is 15

hope it help you

Using the formula for finding area of a rectangle we can get the area of the shaded region = 106 sq. meters.

The formula for calculating a rectangle's area can be used to determine how much space the rectangle takes up within its perimeter. The area of a rectangle is determined by multiplying its length by its width (breadth). The following formula can be used to get the area of a rectangle whose length and breadth are "l" and "w," respectively. L * W = the rectangle's area. Hence, the area of a rectangle is equal to length × width

Here, in the given figure, area of the small rectangle =

length × breadth

= 7 × 2

= 14 sq. meters

Now area of the shaded region =

12 × 10

=120 sq. meters.

Therefore, area of the shaded region = 120 - 14

= 106 sq. meters

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The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:

To make both inequalities true, we need to select values for a and b that satisfy the given conditions:

a < b: This inequality means that the value of a should be less than the value of b.

|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.

One possible solution that satisfies both conditions is:

a = -2

b = 1

With these values, we have:

-2 < 1 (a < b)

|-1| < |2| (|b| < |a|)

Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:

This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.

|b| < |a|:

This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.

By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.

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One would pay $5,232.96 in interest over the 5-year loan term.

To get interest paid on the loan, we will the formula for compound interest \(Interest = Principal * (1 + Annual Interest Rate)^{Number of Years} - Principal\)

The principal is the loan amount which is $9,000.

The annual interest rate is 9.6%

The number of years is 5.

Interest = $9,000 * (1 + 0.096)^(5) - $9,000

Interest = $9,000 * 1.58144018701 - $9,000

Interest = $5,232.96168

Interest = $5,232.96.

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Answer:

?

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5 x 3 = 15

n x 4 = 4n

3 + 4 = 7

(5 x 3) + (n x 4) = 5(3 + 4)

15 + 4n = 5*7

15 + 4n = 35

4n = 35 - 15

4n = 20

n = 20/4

n = 5

Hence, the value of missing number (n) is 5.

Answer:

-----------------

Given a right triangle with two legs known.

Find the missing angle using tangent function:

Substitute values to get:

Answer:

attached image

Step-by-step explanation:

Formula:

Discount = Regular price x (% / 100)        

you divided by 100 to change it into a decimal

Sale Price = Regular price - Discount

Given that the diagonals of a rhombus are always perpendicular bisectors of each other, what is the area of a rhombus with side length  \(\sqrt{89}\) units and diagonals that differ by 5 units.

Diagonals of Rhombus:

A diamond's Rhombus is a line segment that connects two non-adjacent vertices of the diamond. A rhombus has two diagonals that bisect it at right angles. That is, they form four congruent right triangles. The rhombic diagonal formula is based on the area of ​​the diagonal, expressed as p = (2 × area)/q. where 'p' and 'q' are the two diagonals of the rhombus.

Now,

Label each half of the short diagonal as X.  

Label each half of the long diagonal as X+ 3.

The sides of the rhombus as \(\sqrt{89}\).

Each of the internal triangles will be figured the same.

We have a right triangle with one side X, one side X+3, and the hypotenuse \(\sqrt{89}\) .

According to the Pythagorean theorem, in a right triangle (90 degrees), the square of the hypotenuse equals the sum of the squares of the other two sides. The triangle ABC where BC2 = AB2 + AC2. where AB is the base, AC is the height (height), and BC is the hypotenuse. Note that the hypotenuse is the longest side of a right triangle.

Therefore,

Pythagoras' Theorem  :

(X)² + (X+3)² =   \((\sqrt{89} )^2\)

X² + X² + 6X + 9 = 89

2X² + 6X – 80 = 0  

This will factor to          

(2X + 16)(X – 5) = 0

Disregard the negative solution.  

Half of the short diagonal is 5 units.  

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Answer:

13:7

Step-by-step explanation:

20 - 7 = 13 girls

Girls  Boys

13        7

Answer:

it would be 7:20 im pretty sure

Step-by-step explanation:

Answer:

False 1 ton is 2000 lb

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

Answer: 129-12=117

Step-by-step explanation: 117 apples would be left.

Answer:

a. 3/1?   b. 4/3?   c. 4/-16?   d.no slope

Step-by-step explanation:

not sure but this is my best maybe i mixed something but this is it!

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer:

Use Photo Math!!! It will help you and explain everything

Answer:

x³ + x² - 2x -2

Step-by-step explanation:

The basic charge refers to a fixed fee or cost that is charged for a service or utility regardless of the actual usage or consumption.

In the given context, the term "basic charge" refers to a fixed fee or cost that is charged for a particular service or utility regardless of the actual usage or consumption.

It is a standard or minimum charge that is applied uniformly to all customers or users, typically to cover the basic infrastructure or administrative costs associated with providing the service.

The basic charge is often separate from any variable charges based on usage or additional services.

It is a recurring fee that customers are required to pay regardless of their specific usage level.

The purpose of the basic charge is to ensure a baseline revenue for the service provider and to contribute to the maintenance and operational costs of the service infrastructure.

It provides a consistent source of income and helps to distribute the costs among all customers fairly.

The basic charge is usually set at a fixed amount or a predetermined rate and may vary depending on the type of service or utility being provided, such as electricity, water, internet, or telecommunications.

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The complete question may be like: Define the basic unit of currency in the United States and explain its significance in the context