The graph shows the total fare, y, for a taxi ride with respect to the miles traveled, x.

What is the y-intercept and what does it represent?

Question options:

The y-intercept is 3 and it represents the initial fee before any miles are traveled.


The y-intercept is 3 and it represents the cost of traveling 1 mile.


The y-intercept is 0 and it represents the initial fee before any miles are traveled.


The y-intercept is 20 and it represents the cost of the cab ride.

Mrs. Sanchez earns a total of $11,314 in commissions and bonus for the year, calculated by adding her annual net commission of $10,764 to her hiring bonus of $550.

How much Mrs. Sanchez earns in commissions and bonus for the year:

1: Calculate her weekly net commission.

She earns $275 per week in commission.

However, $68 is deducted for taxes and benefits, leaving her with:

Weekly net commission = $275 - $68 = $207

2: Calculate her annual net commission.

Assuming she works 52 weeks a year (standard for full-time employment):

Annual net commission = $207/week * 52 weeks/year = $10,764

3: Add the hiring bonus to her net commission.

Her total earnings from commissions and bonus are:

Total earnings = $10,764 + $550 = $11,314

Therefore, Mrs. Sanchez earns $11,314 in commissions and bonus for the year.

The decimal 0.25 can be written in words as zero point two five or twenty five-hundredths .

To understand the value of 0.25 in terms of tenths and hundredths, let's break it down:

The digit 2 is in the tenths place, and it represents two tenths ( 2 / 10 ) or 0.2.

The digit 5 is in the hundredths place, and it represents five hundredths ( 5 / 100 ) or 0.05.

So, in terms of tenths and hundredths, 0.25 can be expressed as zero point two five, where the 2 represents two tenths and the 5 represents five hundredths twenty five-hundredths.

To know more about decimal click here :

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Answer:

Find out the  how much is his overall budget .

To prove

Let us assume that the overall budget of Mr.Hollins be x.

As given

Mr. Hollins determined that he gives away $800 each month.

If he gives away 16% of his budget.

16% is written in the decimal form.

[tex]= \frac{16}{100}[/tex]

= 0.16

Than the equation becomes

x × 0.16 = 800

[tex]x = \frac{800}{0.16}[/tex]

x = $5000

Therefore the overall budget of Mr.Hollins be $5000 .

To compare and order rational and irrational numbers, convert rational numbers to decimals and compare them directly, and for irrational numbers, compare their approximate decimal values.

Comparing and ordering rational and irrational numbers involves understanding their magnitude on the number line.

Let's compare 3 rational and irrational numbers: [tex]\( \frac{5}{3} \), \( \sqrt{2} \), and \( -\frac{4}{7} \).[/tex]

1. [tex]\( \frac{5}{3} \)[/tex] is a rational number, as it can be expressed as a fraction.

2. [tex]\( \sqrt{2} \)[/tex] is an irrational number, as it cannot be expressed as a fraction.

3. [tex]\( -\frac{4}{7} \)[/tex] is a rational number, a negative fraction.

To compare them:

1. [tex]\( \frac{5}{3} = 1.67 \)[/tex]

2. [tex]\( \sqrt{2} = 1.414 \)[/tex]

3. [tex]\( -\frac{4}{7} = -0.57 \)[/tex]

Ordering them:

[tex]\( -\frac{4}{7} < \sqrt{2} < \frac{5}{3} \)[/tex]

Calculation:

1. [tex]\( \frac{5}{3} = 1.67 \)[/tex]

2. [tex]\( \sqrt{2} = 1.414 \)[/tex]

3. [tex]\( -\frac{4}{7} = -0.57 \)[/tex]

Order: [tex]\( -\frac{4}{7} < \sqrt{2} < \frac{5}{3} \)[/tex]

So, [tex]\( -\frac{4}{7} \)[/tex] is the smallest, followed by [tex]\( \sqrt{2} \)[/tex], and [tex]\( \frac{5}{3} \)[/tex] is the largest. This is because irrational numbers lie between rational numbers and have a greater magnitude.

Complete Question:

How can you compare and order rational and irrational numbers ?

She can buy 4 tickets

Answer:

Its B, ≤ 4

Step-by-step explanation:

The answer is 12. Hope this helps

The volume of a cube with a side length of [tex]4r^3s[/tex] is a monomial expressed as[tex]64r^9s^3[/tex], derived by cubing the side length according to the formula for the volume of a cube.

To express the volume of a cube with the side length[tex]4r^3s[/tex] as a monomial, we use the formula for the volume of a cube, which is [tex]Volume = side^3[/tex]. Therefore, for a cube with side length [tex]4r^3s[/tex], the volume V can be calculated as follows:

[tex]V = (4r^3s)^3 = 4^3 \times (r^3)^3 \times s^3 = 64 \times r^9 \times s^3[/tex]

This simplifies to V = 64r^9s^3, which is the monomial representing the volume of the cube.

Answer: The answer would be 25/t + 6 = 2t + 1

Answer:

53 Million

Step-by-step explanation:

In 1991: t = 0 and A = 45 million

In 2002: t = 11 and p = 51 Million

You're Solving For k:

P = [tex]Ae^{kt}[/tex] In(1.0625) - In( [tex]e^{k*11}[/tex] )

51 = [tex]48^{k*11}[/tex] 0.0606 = k * 11

1.0625 = [tex]e^{k*11}[/tex] 0.0055 ≈ k

In 2008: t = 17

P = [tex]Ae^{kt}[/tex]

P = [tex]48e^{0.0055*17}[/tex]

P = [tex]48e^{0.094}[/tex]

P = 48*1.0986

P ≈ 52.71466 million as the population

P ≈ 53 Million If Rounded

The scale factor is 3.

Answer:

1 - 2n > 5. The solution set is (-∞, -2)

Step-by-step explanation:

We are dealing here with two problems:

"One less than twice a number" can be written as  [tex]\\1 - 2n[/tex], where n is the unknown number.

If it is not less than five, thus it is greater (no less) than five. Then, the symbol here is  " > " (greater).

As a result: "One less than twice a number is no less than five" could be rewritten as "One less than twice a number is greater than five", or:

[tex]\\1 - 2n > 5[/tex].

The solution set for this inequality is as follows:

[tex]\\ 1-2n > 5[/tex] ⇒

Subtract -1 from each member of the inequality:

[tex]\\ 1-1-2n>5-1 [/tex] ⇒ [tex]\\ -2n>5-1[/tex] ⇒ [tex]\\ -2n>4 [/tex]

Multiply each member of the inequality by [tex]\\-\frac{1}{2}[/tex] (or divide each member by -2). We have to remember here that when we multiply or divide an inequality by a negative number (-n), this inverts the inequality, that is:

[tex]\\ -\frac{1}{2}*(-2)*n< -\frac{1}{2}*4 [/tex]

[tex]\\ 1*n< -\frac{1}{2}*4 [/tex]

[tex]\\ n < -2 [/tex]

The solution set is then [tex]\\ n< -2 [/tex], which is any value less than -2 (not including -2, because is < and not ≤), and we have infinite negative numbers with such a characteristic. We can write it mathematically as an interval notation:

Solution set for [tex]\\1 - 2n > 5[/tex] is [tex]\\ (-\infty, -2)[/tex].

roni 1/30 t 1/30t

allie 1/75 t 1/75t

If Roni and Allie are working together, Roni will mow .71 of the field.

in a chart,  Roni's rate would be 1/30 and Annie's rate would be 1/75.

both of thier times would be x

and the part of field mowed would be 1/30x for Roni and 1/75x for Annie.

the answer is .71

hope this helps :)