Jennifer is on a trip and travels a distance of 150 miles. she spends some of her time walking, and some of her time travelling by train. if she spends w hours walking and t hours travelling by train, what is the meaning of 3w in the equation below? 50t + 3w =150

Answer:

Option 1)  -7  

Step-by-step explanation:

Given : The equation shows the relationship between x and y : [tex]y=-7x+9[/tex]

To find : What is the slope of the equation?

Solution :

The general slope form of the equation is [tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

Now, We compare the given equation with general form of the equation

[tex]y=-7x+9[/tex]

On comparing, m=-7 and b=9

So, The slope of the given equation is -7.

Therefore, Option 1 is correct.

Answer:

$245

Step-by-step explanation:

Given : My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended. My normal monthly bill is $50.00 per month.

To Find:  How much will I need to pay each month?"

Solution:

Past due bill = $585

Now  just made payment arrangements for the next 3 months to keep my account from being suspended

So, Payment each month of past bill = [tex]\frac{585}{3}=195[/tex]

My normal monthly bill is $50.00 per month.

So, I need to pay per month = $50+$195= $245

Thus ,I need to pay $245 per month .

Final answer:

The square root of 26 in simplest radical form is just √26, as 26 has no perfect square factor. It can also be expressed as 26 raised to the power of 0.5 based on the concept of fractional powers corresponding to roots.

Explanation:

The square root of 26 in its simplest radical form cannot be simplified further as a perfect square factor because 26 is not a perfect square. However, if we apply the concept of expressing numbers as fractional powers, we can say that any number 'x' squared, written as x², is equivalent to the square root of 'x'. Thus, the square root of 26 can also be written as 26 to the power of 0.5 or 26⁰.⁵.

Expressing the concept mathematically, we can write the square root of any number 'x' as x to the power of 0.5, which is a helpful way to solve for unknown values in various equations. This idea is useful in scenarios where different roots of a number or expressions involving fractional exponents are to be calculated, and it is essential to remember that the square root is just another form of an exponent.

convert 2 2/5 into a fraction

2 2/5 = 12/5

12/5 * 1/9 =12/45 reduces to 4/15

Hello there! :)

This equation is written in slope-intercept form. which means we can easily idenify the slope and the y-intercept.

First of all, slope-intercept form looks like this:

y=mx+b

The letter m represents the slope, while the letter b represents the y-intercept.

Now, let's look at the values that we have.

We are given the equation of the line:

y=6x-9

We know that m is the slope; therefore, in this equation, 6 is the slope.

-9 is the y-intercept (the letter b)

Therefore, 6 is the slope and b is the y-intercept.

I hope it helps you. Let me know if you have any queries.

~A smiley teen

[tex]MagicalNature[/tex] here to help

Answer:

Value of x is:

20

Step-by-step explanation:

Clearly, the two angles are vertically opposite

and vertically opposite angles are always equal

So, x+40=3x

Subtracting both sides by x, we get

x+40-x=3x-x

i.e. 40= 2x

Dividing both sides by 2, we get

x = 20

Hence, Value of x is:

20

390-150 = 240 cars were sold in November & December

 ratio is 3:5

240/8 = 30

30*3 = 90

3*5 = 150

90 cars sold in November

150 cars sold in December

The question is asking for the solution to the algebraic problem 12 + 8k = 48. By isolating 'k', it is found that the value of 'k' is 4.5.

The problem presented here belongs to the branch of algebra. It is showing a relationship between the sum, multiplication, and is presented in a typical algebraic equation format. Let's break it down:

The sum of 12 and a number (which is 8 times k) is equal to 48. This can be written in equation form as:

12 + 8k = 48

To find the value of k, we need to isolate 'k' in the equation. First, subtract 12 from both sides of the equation:

8k = 48 - 12

Then, simplify the right side:

8k = 36

Finally, divide both sides by 8 to solve for k:

k = 36 / 8

So, k = 4.5.

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Answer:

A. [tex]g(x)=-\frac{2}{5}(10)^x[/tex].

Step-by-step explanation:

We are given the function [tex]f(x)=\frac{2}{5}(10)^x[/tex].

Now, g(x) is obtained by reflecting the function f(x) over x-axis.

Reflection of f(x) over x-axis changes f(x) to -f(x).

So, we get,

[tex]g(x)=-f(x)[/tex]

i.e. [tex]g(x)=-\frac{2}{5}(10)^x[/tex]

Thus, the reflected function is [tex]g(x)=-\frac{2}{5}(10)^x[/tex].

So, option A is correct.

To comply with the triangle inequality theorem, the smallest possible length of the congruent sides in an acute isosceles triangle with the longest side being 8 centimeters, would be slightly greater than 4 centimeters, rounded to the nearest tenth (4.1 centimeters).

In the context of an acute isosceles triangle, the longest side is the base and the other two sides are congruent or have equal length. The smallest possible length of the congruent sides comes into play in respect of the triangle inequality theorem, stating that the sum of the lengths of any two sides must be greater than the length of the third side. Thus, for the smallest possible length, each of the congruent sides must hence be just slightly larger than half the length of the longest side. So for an 8 centimeter base, the smallest length for the congruent sides should be slightly more than 4 centimeters, let's call it 4.1 centimeters, when rounded to the nearest tenth.

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Answer:

-3

Step-by-step explanation:

Its decresing by -3.

Answer:

Distributive property

Step-by-step explanation: