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Marizza181
16 days ago
8

I am looking to decrease my bill by 25%. Can you look at my current plan and tell me what I can remove to achieve this reduction

in cost? My current bill is $140.00 per month
Mathematics
1 answer:
tester [3.9K]16 days ago
6 0

Answer: $35

Step-by-step explanation:

The question states that the individual's current bill is $140.00 per month and they wish to reduce this amount by 25%.

To determine how much needs to be subtracted, we calculate 25% of $140.00, as follows:

= 25% of $140

= 25/100 × $140

= 1/4 × $140

= 0.25 × $140

= $35

The individual must cut $35 from the bill, resulting in a new monthly payment of ($140 - $35) = $105.

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There are seven boys and five girls in a class. The teacher randomly selects three different students to answer questions. The f
Svet_ta [4341]

The likelihood of selecting one girl is calculated as \frac{5}{12}. This is based on having 5 girls within a total of 12 students, and the probability of an event can be expressed as: \frac{\text{# of things you want}}{\text{# of things are possible}}.

Using the same reasoning, for the next student, we have reduced the number of students by 1, leading to 11 possible outcomes instead of 12, giving us:\frac{7}{11}, which represents the probability of selecting a boy as the second choice.

Lastly, the probability of choosing a girl for the third selection follows the same logic and is given as:\frac{4}{10}.

However, we must combine these individual probabilities to determine the likelihood of this specific sequence of selections occurring:

\frac{5}{12}*\frac{7}{11}*\frac{4}{10}=\frac{140}{1320}

This simplifies to:

\frac{7}{66}

4 0
8 days ago
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The value of a car t years after it is purchased is given by the decreasing function V, where V(t) is measured in dollars. The r
PIT_PIT [3949]

Answer:

dV(t)/dt = kV(t)

Step-by-step explanation:

The annual change in the car's value, represented by dV(t)/dt, has a proportional relationship with V(t), the car's current value.

dV(t)/dt ∝ V(t)

dV(t)/dt = kV(t)

7 0
14 days ago
Cameras R Us has a sale for 25% off camera bags, which is a discount of $20. Explain how you can set up a diagram to find the or
Zina [3917]

Answer:

Example Response: The diagram ought to consist of five columns; one for each 25% segment and an additional one for the total, since 25% represents 1

4

of 100%. There should be 2 rows, one designated for percentages and another for dollar figures.

Step-by-step explanation:

Edg2020

8 0
6 days ago
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Noah drew a scaled copy of Polygon P and labeled it Polygon Q. If the area of Polygon P is 5 square units, what scale factor did
babunello [3666]

Answer:

The scale factor equates to 3.

Detailed explanation:

Please refer to the provided image for clarity regarding this issue.

We know that

If two shapes are similar, then the ratio of their areas corresponds to the square of the scale factor.

Let

z -----> scale factor

x -----> area of polygon Q

y ----> area of polygon P

Thus, we have

z^{2}=\frac{x}{y}

so, we proceed with

y=5\ units^2

Determining the area of polygon Q

The polygon Q can be divided into five distinct squares.

Refer to the additional figure N 2.

The area of polygon Q, which represents the total area of the five squares, is

x=5(3^2)=45\ units^2

Calculating the scale factor

z^{2}=\frac{x}{y}

Thus, we derive

x=45\ units^2

y=5\ units^2

By substituting the values, we find

z^{2}=\frac{45}{5}

z^{2}=9

Taking the square root of both sides results in

z=3

Thus,

The scale factor resolves to 3.

8 0
11 days ago
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Identify the equation of the circle that has its center at (-27, 120) and passes through the origin.
zzz [4035]

The equation representing the circle centered at (-27, 120) that passes through the origin is:

(x + 27)^2 + (y - 120)^2 = 15129

Solution:

The general equation of a circle is expressed as:

(x-a)^2+(y-b)^2=r^2

Where,

(a, b) denotes the center of the circle

r signifies the radius

Given the center as (-27, 120)

Thus;

a = -27

b = 120

Considering it intersects the origin, meaning (x, y) = (0, 0)

Substituting (a, b) = (-27, 120) and (x, y) = (0, 0) into the equation

(0 + 27)^2 + (0 - 120)^2 = r^2\\\\729 + 14400 = r^2\\\\r^2 = 15129

Input r^2 = 15129 and (a, b) = (-27, 120) into the equation

(x + 27)^2 + (y - 120)^2 = 15129

Hence, the equation characterizing the circle is determined

6 0
6 days ago
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