Ahmad took out a loan for 146 days and was charged simple interest at an annual rate of 12.5%.
The total interest he paid on the loan was $245.
How much money did Ahmad borrow?

Answer:

Pre-algebra is a fundamental branch of mathematics that deals with basic arithmetic operations, such as addition, subtraction, multiplication, and division, and introduces concepts like variables, equations, and inequalities. Here are some general steps to solve pre-algebra problems:

1. Identify the problem: Read the problem carefully and identify what it is asking you to do. Identify the key information and any variables that are given.

2. Translate the problem: Translate the problem into an equation or inequality, using variables to represent unknown quantities.

3. Solve the equation or inequality: Use algebraic manipulation to solve for the variable. Follow the order of operations and simplify the expression as much as possible.

4. Check your answer: Verify that your solution is correct by plugging it back into the original equation or inequality and making sure that it satisfies the conditions of the problem.

It's important to practice pre-algebra problems regularly to develop your problem-solving skills. You can find practice problems and tutorials online or in textbooks, and you can work with a tutor or teacher to get additional help. Remember to stay patient, focused, and positive, and don't be afraid to ask for help if you need it.

Answer:

2a - 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(a - 3) + (a - 5)

Step 2: Simplify

Answer:

Hope this helped you

Step-by-step explanation:

5/6 ÷ 3/6 = 5/6 × 6/3 = 5/3

5/3 × 3/5 = 1

5/6÷3/6x3/5

0.83÷0.50x0.60

0.83÷0.30

ANSWER: 2.767

I tried to make it as easy as possible!

pls mark brainliest!

Answer:

2. 4

3. 10

Step-by-step explanation:

2. (3 x 5² ÷ 15) - (5 - 2²)

    3 x 25 ÷ 15

    75 ÷ 15

       5 - (5 - 2²)

      5 - (5 - 4)

      5 - 1

       [4]

3. (22 ÷ 2 - 2 x 5)² + (4 - 6 ÷ 6)²

     11 - 2 x 5

     11 - 10

        (1)²

         1 + (4 - 6 ÷ 6)²

         1 + (4 - 1)²

         1 + 3²

         1 + 9

          [10]

It is true that the investigation phase of the SDLC involves specification of the objectives, constraints, andscope of the project

A software life cycle model, often known as a process model, is a visual and diagrammatic depiction of the software life cycle.

A life cycle model shows all the procedures needed to move a software product through each stage of its life cycle. It also records the framework in which these techniques are to be applied.

The entry and departure criteria for a stage cannot be identified without a software life cycle model. Software project managers find it challenging to track the project's development without the use of software life cycle models.

The Systems Development Life Cycle's Implementation phase is the stage that takes the longest and costs the most money (SDLC)

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Answer:

\(\displaystyle F(v) = \frac{9}{5}(v-273)+32\)

Step-by-step explanation:

The temperature T(d) in degrees Fahrenheit in terms of Celsius d is given by:

\(\displaystyle T(d)=\frac{9}{5}d+32\)

And the temperature C(v) in degrees Celsius in terms of Kelvin v is given by:

\(C(v)=v-273\)

We want the formula for the temperature F(v) in degrees Fahrenheit in terms of the Kelvin temperature.

So, we can use a composition of functions. Since T(d) outputs the temperature in Fahrenheit and C(v) inputs the temperature in Kelvin, T(C(v)) will be the temperature in Fahrenheit given the temperature in Kelvin. So:

\(\displaystyle T(C(v))=\frac{9}{5}(C(v)))+32\)

Substitute:

\(\displaystyle T(C(v)) = F(v) = \frac{9}{5}(v-273)+32\)

Therefore:

\(\displaystyle F(v) = \frac{9}{5}(v-273)+32\)

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

  (d)  see attached

Step-by-step explanation:

There are a couple of quick checks you can do to identify the correct graph.

__

Find a variable with a positive coefficient, and write that in the given relation to the inequality symbol:

  x >

This tells you ...

The x-coefficient is a factor of the constant, so the x-intercept of the boundary line is easily found. Set y=0, and you have ...

  2x = 6

  x = 3

The boundary line you're looking for has an x-intercept at x=3.

__

The correct graph is shown in the attachment.

The quadratic inequality (18 / 7) · x² + (54 / 7) · x - 180 / 7 < y contains all the ordered pairs outside the parabola.

What is  parabola?

A parabola could be a U-shaped plane curve wherever any purpose is at an equal distance from a hard and fast purpose (known because the focus) and from a fixed line that is understood because the directrix.

Main body:

In this problem we must determine a quadratic inequality of the form:

a · x² + b · x + c < y

Where a, b, c are the real coefficients of the inequality.

First, determine the coefficients of the quadratic inequality (parabola) by solving the system of linear equations:

25 · a - 5 · b + c = 0

4 · a + 2 · b + c = 0

a + b + c = - 18

(a, b, c) = (18 / 7, 54 / 7, - 180 / 7)

Second, write the quadratic in equation:

(18 / 7) · x² + (54 / 7) · x - 180 / 7 < y

hence , the equation is (18 / 7) · x² + (54 / 7) · x - 180 / 7 < y

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Answer:

Let the three numbers be x, y, and z.

We are given that x + y = z + 4.

We are also given that x + y + z >= 20 and x + y + z <= 28.

Combining these two inequalities, we get:

z + 4 + z >= 20

2z >= 16

z >= 8

Since z is an integer, z can be 8, 9, 10, 11, 12, 13, 14, 15, 16, or 17.

For each value of z, we can find the corresponding values of x and y using the equation x + y = z + 4.

For example, if z = 8, then x + y = 12.

So, the three integral values satisfying the inequality are 8, 4, and 0.

Another example is z = 15.

In this case, x + y = 19.

So, the three integral values satisfying the inequality are 15, 2, and 2.

There are many other possible solutions.

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.

To illustrate this value on an abacus we must find the number of this operation as shown below:

Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:

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Answer: 2.5 or 3

Step-by-step explanation:

Log22/Log9 express log_9 22 in terms of common logarithms

Common logarithms, is commonly describd as base-10 logarithms.

It is a type of logarithm that involve taking the logarithm of a number with respect to the base of 10.

This means that common logarithms show how many powers of ten must be increased to get a particular number. The usual logarithm of 100, for example, is 2, because 10 raised to the power of 2 equals 100.

The answer provided is based on the full question below;

-------------express log_9 22 in terms of common logarithms

a. Log 22/9

b. Log 198

c. Log22/Log9

d. Log9/Log22

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\(3x^2-15x= 15\\\\x^2 -5x = 5\\\\x^2-5x-5=0\\\\\Delta = 25+20\\\\\Delta = 45\\\\\\x = \dfrac{5\pm \sqrt{\Delta}}{2}\\\\\\x = \dfrac{5\pm \sqrt{45}}{2}\\\\\\x = \dfrac{5\pm 3\sqrt{5}}{2}\\\\\\\)

Answer:

the answer will might be A yeah I'm sure the answer is A

One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.

As per the given data:

The number of popcorn bags is x

The number of candies is y

The cost of each popcorn bag is $7

The cost of each candy is $4

She has $80 to spend on them

Inequality is the nonequal comparison of two or more variables and numbers.

So the first inequality is

7 x + 4 y ≤ 80

Since she must buy no less than 16 bags of popcorn and candies

The second inequality is

x + y ≥ 16

The red area represents the 1st inequality

The blue area represents the 2nd inequality

The solutions lie in the common part of red and blue colors

One possible solution is ordered pair (9,5)

(Graph attached at the end of solution)

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Answer:

She is correct because 3 appears the most amount of times.

Answer:$1,510

Step-by-step explanation:

Answer:

<M = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180

52+ 78+x = 180

Combine like terms

130 +x = 180

Subtract 130 from each side

130+x-130 =180-130

x = 50

Answer:

50°

Step-by-step explanation:

180 is the total of all the angles added together.

so if you subtract the 2 you already know from the total, you’ll have the size of the angle M.

180 - (52+78) = 180 - 130 = 50°

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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Answer:

its good for life and career choices

Step-by-step explanation:

Multiply the numbers just as if they were whole numbers.

Line up the numbers on the right - do not align the decimal points.

Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

Add the products.

Answer:

"fair" srry im only in 8th so im d.u.m

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

Find the amount of decay:

1200 - 900 = 300

Divide amount of decay by original amount:

300/1200 = 0.25

The percent of decay is 25 %

The decay factor is 1.00 a 0.25 = 0.75

Answer:

346 / 5

Step-by-step explanation:

Based on the fact that every 2 inches represented 1 foot, the graph that best represents the relationship is Graph C.

If every 2 inches of the model is 1 foot on the statue, then the following values of the model and the statue should be correct:

From the given graphs, the only graph that has these figures intersecting is graph C which means that it best shows the relationship.

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Answer:

\( 5x + 3y = 15 \)

Step-by-step explanation:

The x-intercept is 3, so the ordered pair of that point is (3, 0).

The y-intercept is 5, so the ordered pair of that point is (0, 5).

We need the equation of the line that passes through points (3, 0) and (0, 5). Also, from the y-intercept, we know that b = 5 in the slope-intercept form of the equation of a line,

y = mx + b

b = 5

We now have:

y = mx + 5

We can find the slope using the two given points.

\( m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{5 - 0}{0 - 3} = -\dfrac{5}{3} \)

\( y = -\dfrac{5}{3}x + 5 \)

Now we change the equation into standard form,

ax + by = c

\( y = -\dfrac{5}{3}x + 5 \)

Multiply both sides by 3.

\( 3y = -5x + 15 \)

Rearrange terms.

\( 5x + 3y = 15 \)