Eric has some nickels. He says they are worth exactly 34 cents. Can you tell if Eric is correct or not? Why or why not?

Maureen's pension would be $50,035.20.

What is Percentage?

To compute a percentage, divide the value by the entire amount and multiply the result by 100. A percentage is a quantity or ratio that is stated as a fraction of one hundred. The percent sign, "%," is frequently used to represent it.

First, we need to calculate the average of Maureen's three highest salaries:

Average = (107,000 + 107,800 + 108,198) / 3

Average = 322,998 / 3

Average = 107,666

Next, we need to calculate 1.56% of this average:

Percentage = 1.56% * 107,666

Percentage = 1,667.84

Finally, we multiply this percentage by the number of years worked to find the pension:

Pension = 30 * 1,667.84

Pension = 50,035.20

So, Maureen's pension would be $50,035.20.

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Answer:

can you please put your question points higher? anyway the answer is C

Step-by-step explanation:

Answer:

\((A) \dfrac{1}{4}\)

Step-by-step explanation:

If n varies jointly with f and g, we write:

\(n \prop fg\\$Introducing the constant of variation, k$\\n=kfg\\When f=2, g=8 and n=4\\4=k \times 8 \times 2\\4=16k\\$Divide both sides by 16\\k = 4\div 16\\k=\dfrac{1}{4} \\\\$The constant of variation is \dfrac{1}{4}\)

The correct option is A.

The constant of variation = 1/4 , Option A is the correct answer.

The ratio between two variables in a direct variation or the product of two variables in an inverse variation.

In the direct variation equations = k and y = kx,

and the inverse variation equations xy = k and y = , k is the constant of variation.

if n varies jointly with f and g

n ∝ fg

n = kfg

f=2

g=8

n=4

The constant of variation will be

4 = k *2*8

k= 1/4

Therefore Option A is the correct answer.

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The total cupcakes the bakery sell that day is 80

From the question, we have the following parameters that can be used in our computation:

Number of sales = 76

Proportion = 95%

This implies that

Number of sales = Proportion * Total number of cupcakes

Substitute the known values in the above equation, so, we have the following representation

76 = 95% * Total number of cupcakes

Divide both sides by 95%

Total number of cupcakes = 80

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Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

Answer:

−25/96

Step-by-step explanation:

x=12y...(1)

xb=x+60010=y+100

x+600=10(y+100)....(2)

Substitute 12y for x in (2) :

12y+600=10y+1000

12y−10y=1000−600

2y=400⟹y=200

From (1), x=12y

∴x=12×200=N2,400.

Thus, the girls collected N2,400

The boys collected N2,400 + N600 = N3000

Total = N(2,400 + 3,000) = N5,400

Answer:

(a)0.0005

(b)0.2720

Step-by-step explanation:

Total Number of Transistors = 16

To find the probability that 4 selected at random are defective (or non-defective), we find the probability of the 1st, 2nd, 3rd, and 4th defective (or non-defective) items in that order, Note that the selection is without replacement.

(a)Probability that  all are defective

Number of Defective Transistors =4

P(all are defective) \(=\dfrac{4}{16} \times \dfrac{3}{15} \times \dfrac{2}{14} \times \dfrac{1}{13}\)

=0.0005

(b)Probability that  none are defective

Number of Non-Defective Transistors =16-4=12

P(none are defective) \(=\dfrac{12}{16} \times \dfrac{11}{15} \times \dfrac{10}{14} \times \dfrac{9}{13}\)

=0.2720

Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

The volume of a rectangular prism can be calculated using the formula:

V = l x b x h..........(i)

where,

V ⇒ Volume

l  ⇒ length

b ⇒ width

h ⇒ height

From the question, we are given the values,

l = 8 inches

b = 4 inches

h = 9 inches

Putting these values in equation (i), we get,

V = 8 x 4 x 9

⇒ V = 288 in³

Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

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Answer:

RQ / SQ

Step-by-step explanation:

We see in the figure that angles O and R are congruent, which is what the ) symbol by the two angles indicates.

We see that the first ratio starts with OQ and ends with PQ to give us OQ/PQ.  Since R and O are congruent, the only ratio that would make the statement true is RQ/SQ.

6 inches will be the length of the patio.

According to the scale, 1 inch on the plan corresponds to 3.5 feet in real life.

We must convert the patio's real length of 21 feet to inches using the scale in order to determine how long it would look on the blueprint:

3.5 feet to one inch

21 feet in x inches

If we cross-multiply, we obtain:

1 inch/3.5 feet * 21 feet

= x inches

= 6 inches.

As a result, the length of the patio will be indicated on the blueprint as 6 inches.

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b) Because it REFLECTING which means that is going across

Answer:

D is correct

Step-by-step explanation:

because the ponit started in quadrant 1 and the only thing that could change is the y-axis and the y-axis aloney went down and quadrant 4 is the only quadrant above 1 so that the answer

Answer:

46/3

Step-by-step explanation:

|2a| - b/3

Plug in the values and evaluate.

|2(7)| - (-4)/3

|14| + 4/3

Apply | a | = a

14 + 4/3

42/3 + 4/3

= 46/3

Answer: The answer would be 6!

Answer:

0.1000:00.500

Step-by-step explanation:

because in the numbers there is no ten thousand in 1000 that is why the decimal is there it is also applied to the 500

Answer:

Step-by-step explanation:

Product means multiply.

-300

On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.

Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

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Answer:

A

Step-by-step explanation:

The equation for the given scenario is y=4x. Therefore, option D is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, (1, 4), (2, 8), (3, 12), (4, 16) and (5, 20).

Now, slope = (8-4)/(2-1)

m=4

Substitute m=4 and (x, y)=(1, 4) in y=mx+c, we get

4=4(1)+c

c=0

Substitute m=4 and c=0 in y=mx+c, we get

y=4x

Therefore, option D is the correct answer.

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The measure of the angle m∠ZYX of the trapezoid is equal to 139°

A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.

3x + 19 + x + 1 = 180°

4x + 20 = 180°

4x = 180 - 20 {collect like terms}

4x = 160

x = 160/4 {divide through by 4}

x = 40

m∠ZYX = 3(40) + 19 = 139°.

WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.

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Answer:

C:140

Step-by-step explanation:

because 7 x 5 in the tiangle.

Answer:

20.45% I may be wrong

Step-by-step explanation:

All of the cash she earned adds up to $88, which means the fractions of the cash is 50/88, 18/88, and 20/88, 18/88 converted into a percentage is 20.45%.

The statement which is not true about the circle M is ∆ABM is isosceles.

The correct answer choice is option 2.

Based on the circle M;

diameter AC,

chords AB and BC,

radius MB

Isosceles triangle: This is a type of triangle which has two equal sides and angles.

Equilateral triangle is a triangle which has three equal sides and angles.

Hence, ∆ABM is equilateral triangle.

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Answer:

Engineer: 9.5 hr

Assistant: 4.5 hr

Step-by-step explanation:

To solve this problem, we can create and solve a system of equations.

Define the variables:

Given the engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour, and a customer received a bill for $425 for a certain job:

Given the assistant worked 5 hours less than the engineer:

Therefore, the system of equations that represents the problem is:

\(\begin{cases}40x+10y=425\\ \quad \qquad \;\;\;y=x-5\end{cases}\)

Substitute the second equation into the first equation to eliminate y:

\(40x+10(x-5)=425\)

Solve the equation for x to find the number of hours the engineer worked:

\(\begin{aligned}40x+10(x-5)&=425\\40x+10x-50&=425\\50x-50&=425\\50x&=475\\x&=9.5\end{aligned}\)

Therefore, the engineer worked 9.5 hours.

Substitute the found value of x into the second equation and solve for y to find the number of hours the assistant worked:

\(\begin{aligned}y&=x-5\\y&=9.5-5\\y&=4.5\end{aligned}\)

Therefore, the assistant worked 4.5 hours.

Answer:

\( 128 \: {ft}^{2} \)

Step-by-step explanation:

Area of the shaded region = 3 times the area of one square with side length 8 ft - 3 time the area of one triangle with base 8 ft and height 8 ft

\( = 3 {(8)}^{2} - \cancel 3 \times \frac{1}{\cancel 3} \times 8 \times 8 \\ \\ = 3 \times 64 - 64 \\ \\ = (3 - 1)64 \\ \\ = 2 \times 64 \\ \\ = 128 \: {ft}^{2} \)

Answer:

Step-by-step explanation:

101.50 x 28 = 2,842.00

Price of TV = 2,499.00

2,842.00 - 2,499.00 = 343.00

$343.00 was paid in finance charges