The city of Belmont is expecting a budget deficit this year of $242,424, which is 20% less than last year. What was last year's deficit?

Answer:

$223,787

Step-by-step explanation:

r = 0.02

C = 191,000

t = 8

S = 191,000 (1 + 0.02)⁸

Follow order of operations (PEMDAS).

S = 191,000 (1.02)⁸

S = 191,000 (1.171659381)

S = 223,786.9

(We want to round to the nearest dollar, which is the ones place, so ignore all digits after the tenths place.)

Rounding, S = 223,787

The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:

Between 20 and 30 bags.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.

In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:

Number of bags = Number of treats / Treats per bag.

The values of these parameters are given as follows:

Hence the numeric value of the expression is:

Number of bags = 78/3 = 26.

Which is a number between 20 and 30.

The problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.

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Answer:

Step-by-step explanation: bot

Answer:

Step-by-step explanation:

Formula

c^2 = a^2 + b^2

Givens

Solution

c^2 = 3^2 + 8^2                 Substitute givens

c^2 = 9 + 64                       Combine

c^2 = 73                             Take the square root of both sides

√c^2 = √73  

c = √73                        \

Exact answer

c = √73                                73 is prime. It will break down no further

Approximate answer

c = 8.54400                         Both zeros must be entered

The total cost of buying a postal order of N15 would be N15.50.

To calculate the cost of buying a postal order of N365, we need to determine the commission associated with the value of N365 in the postal order table.

Since N365 is between N100 and N50, the commission for this amount would be N5.50.

Therefore, the total cost of buying a postal order of N365 would be N365 + N5.50 = N370.50.

To find the cost of buying a postal order of N15, we look at the postal order table and find that the commission associated with N15 is 50k.

Therefore, the total cost of buying a postal order of N15 would be N15 + 50k = N15.50.

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Answer:

molecues

Step-by-step explanation:

molecues

Answer:

Organ System, and organ system is a group of organs that work together to accomplish a goal. An example of this would the the Digestive system, this is a organ system made up of may organs such as your large and small intestine and stomach in order to complete your digestive track.

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

Answer:

Amadi: 20 years old

Chima : 4 years old

The quantity of each colour beads that are in the necklace include the following:

Purple beads = 56

Purple beads = 56silver beads = 24

A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.

The number of purple beads = 14

The number of silver beads ,= 6

The total quantity of beads = 80

Therefore the total combination = 14+6 = 20

For purple beads = 14/20 × 80/1

= 1120/20 = 56

For silver beads = 6/20×80/1

= 480/20= 24

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Answer:

Check the proof below

Step-by-step explanation:

try to verify from RHS to LHS

(Tan a + tan b) / (tan a - tan b)

= (sin a / cos a + sin b /cos b) / ( sin a/ cos a - sin b/ cos b)

= (sin a cos b + cos a sin b)/ (sin a cos b - cos a sin b)

= sin (a+b) / sin (a-b)

Fyi

sin(A+B) = sinAcosB+cosAsinB

sin(A-B) = sinAcosB-cosAsinB

By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).

In this system we have a geometrical system formed by two right triangles with a common hypotenuse. Right triangles are triangles where one of its internal angles are right angles and the sum of the measures of the internal angles within a triangle equals 180°. Then, this geometrical system can be modelled by using the following linear equations:

(x + 20) + 90 + 30 = 180         (1)

20 + 90 + (y + 30) = 180         (2)

By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).

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The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

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The solution to the system of linear equation (x, y) are 5 and 9

Linear equations, also known as first-order degree equations, where the highest power of the variable is one. When an equation has one variable, it is known as linear equations in one variable. If the linear equations contain two variables, then it is known as linear equations in two variables, and so on.

The solution of a linear equation in two variables is a pair of numbers, one for x and one for y which satisfies the equation. There are infinitely many solutions for a linear equation in two variables.

Therefore, every linear equation in two variables can be represented geometrically as a straight line in a coordinate plane. Points on the line are the solution of the equation. This why equations with degree one are called as linear equations. This representation of a linear equation is known as graphing of linear equations in two variables.

Using graph to solve this problem, the solution to the equations are (x, y) are 5 and 9 respectively.

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answer of this question will be 6

Answer:

y= 6x - 22

Step-by-step explanation:

(4,2) and (5,8)

m= (y2-y1)/(x2-x1)

m= (8-2)/(5-4)

m= 6

y-y1= m(x-x1)

y-2= 6(x-4)

y-2= 6x-24

y= 6x - 22

Mark brainliest pls!

We will see that the probabilities are:

First, the probability of getting a particular color of marker is given by the quotient between the number of markers of that color and the total number of markers

There are:

9 red markers.

5 blue markers.

14 yellow markers

8 green markers.

For a total of: 9 + 5 + 14 + 8 = 36.

a) P(yellow, then red)

First, the probability of getting a yellow marker is:

p = 14/36.

Then the probability of getting a red marker (notice that now there are 35 markers in total) is:

q = 9/35.

Then the joint probability is:

P(yellow, then red) = p*q = ( 14/36)*(9/35) = 0.1

b) P(blue, then green)

First, the probability of getting a blue marker is:

p = 5/36.

After, the probability of getting a green marker is:

q = 8/35.

So the joint probability is:

P(blue, then green) = (5/36)*(8/35) = 0.03

c) P(both red).

First, the probability of getting a red marker is:

p = 9/36

Now there are 8 red markers and 35 markers in total, so the probability of getting another red marker is:

q = 8/35

The joint probability is:

P(both red) = (9/36)*(8/35) = 0.06

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Answer:

the answer of the question is 7

Answer:

it is too easy I will answer it soon.

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Answer:

\(x = \frac{1}{3} \)

Step-by-step explanation:

*Move terms to the left and set equal to zero:

4㏒(√x) - ㏒(3x) - ㏒(x²) = 0

*simplify each term:

㏒(x²) - ㏒(3x) - ㏒(x²)

㏒(x²÷x²) -㏒(3x)

㏒(x²÷x² / 3x)

*cancel common factor x²:

㏒(\(\frac{1}{3x}\))

*rewrite to solve for x :

10⁰ = \(\frac{1}{3x}\)

1 = \(\frac{1}{3x}\)

1 · x = \(\frac{1}{3x}\) · x

1x = \(\frac{1}{3}\)

*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:

x = \(\frac{1}{3}\)

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

698 or 338

Step-by-step explanation:

3*(14+\(c^{2}\)) +2d

3*(14+\(12^{2}\))+2*112 = 42+3*\(12^{2}\)+224

42+3*144+224 = 42+432+224 = 698

3*(14+12*2)+2*112

3(14+24)+2*112 = 3*38+224 = 114+224 = 338

Answer:Substitute the value of the variable into the expression and simplify.

698

Step-by-step explanation:

Answer:

B) There is one unique solution, (2, 1).

Attached is a graph of the system of equations.

Step-by-step explanation:

Given system of equations:

\(\begin{cases} 3x+6y=12 \\ 3x+2y=8\end{cases}\)

Types of Solutions to a System of Equations

Using a graphing calculator, we can find the solution(s) to the given system of equations. To find the solution(s), we need to look at the point where the lines intersect; this is called the point of intersection.

Answer:

B: There is one unique solution, (2, 1)

Step-by-step explanation:

Took the test.

Answer: -0.455F

Step-by-step explanation:

The mean temperature of the freezer over the four days will be gotten by adding the total temperature and then dividing by 4. This will be:

= (-2.36 + 1.68F + -1.81F + 0.67F) / 4

= -1.82F/4

= -0.455F

The mean temperature is -0.455F

Answer: -1.4,1 1/25,1.25

Step-by-step explanation:

-1.4,1 1/25,1.25

1 1/25=

1+0.04=1.04

Order: -1.4, 1.04, 1.25 ==> -1.4,1 1/25,1.25