Bryce spent $ 5.26 on some apples priced at $ 0.64 each and some pears priced at $ 0.45 each. At another store I could have bought the same number of apples at $ 0.32 each and the same number of pears at $ 0.39 each, for a total cost of $ 3.62. How many apples and how many pears did Bryce buy?
a. Write equations to represent Bryce's expenditures at each store. Second store:
First store:
b. Solve the system Number of pears:
Number of apples:
Number of pears:

Answer:

Step-by-step explanation:

Mark make $22,260 including his base salary and the year-end bonus.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Mark base salary = $21,000

And, He got 6% ear-end bonus based on his salary.

Now,

Find the including his base salary and the year-end bonus as;

Since, Mark base salary = $21,000

And, He got 6% ear-end bonus based on his salary.

So, The bonus = 6% of $21,000

                       = 6/100 x 21,000

                       = 1,260

Thus, Total salary = $21,000 + $1,260

                           = $22,260

Thus, Mark make $22,260 including his base salary and the year-end bonus.

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Given is a square pyramid with a base length of 5 centimeters and a height of 6 centimeters.

The volume formula of square pyramid is given by :-

[tex] volume = \frac{1}{3} (base\; area)(height) [/tex]

Base area would be a square of side length equal to 5 centimeters.

Area of square = (side)² = 5 × 5 = 25 squared centimeters.

Now, volume of square pyramid = [tex] \frac{1}{3} (25)(6) [/tex] = 50 cubic centimeters.

So, final answer is 50 cubic centimeters.

The required algebraic expression for the given statement is 11 - 2x. Option 3 is correct.

Given that,
Eleven is decreased by twice a number. To determine the correct option that shows the represents the statement using an algebraic expression.

The algebraic expression consists of constant and variable. eg x, y, z, etc.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number be x,
Eleven is decreased by twice a number.
= 11 - 2x

Thus, the required algebraic expression for the given statement is 11 - 2x. Option 3 is correct.

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Answer: c for apex

Step-by-step explanation:

Answer:c is correct

Step-by-step explanation:

Answer:

All students in each grade.

Step-by-step explanation: This is the answer that givs the most variablity. Your welx if its correct :)

The total number of songs is 4 at which the total cost be the same and this can be determined by forming the linear equation in two variables.

Given :

Let the total number of songs be 'x' and the total cost be 'y'. Now, Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song sp the total cost is given by:

y = 18 + 3.25x   --- (1)

Also given that King Music sells a player for $23.00 and charges $2.00 per song so, the total cost is:

y = 23 + 2x   --- (2)

Given the total cost will be the same, that is, equate equations (1) and (2).

23 + 2x = 18 + 3.25x

Simplify the above equation in order to determine the value of 'x'.

23 - 18 = 3.25x - 2x

5 = 1.25x

x = 4

So, the total number of songs is 4 at which the total cost be the same.

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The number of boys who attended the play is 40. Expressing this as a fraction of the total children (100), we get 40/100, which simplifies to 2/5. So, the fraction representing the number of boys on the trip is 2/5.

The provided information suggests that 60% (or 0.6) of the children on the trip, which were 100, were girls. This means the percentage or portion of girls on the trip is 0.6*100 = 60 girls. Since we're looking for the number of boys, we have to subtract this figure from the total number of children.

So, 100 total children - 60 girls = 40 boys. To express this as a fraction of the total number of children, we get 40/100. This fraction, however, can be simplified to 2/5, which is the fraction that represents the number of boys on the trip.

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75% of secure hike emergency radios are likely to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that Azul performed an experiment to determine which crank powered radio works best he crank 15 randomly selected radios of each branch 30 times at the same speed.

He measured how long the radio played in minutes before running out pal the results of the experiment are displayed in the box plot.

The sample results show that the crank powered radio of Branch A had a slightly higher average play time than the crank powered radio of Branch B, with a median play time of around 9 minutes and a range of 4-16 minutes.

75% of secure hike emergency radios are likely to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks.

Hence, 75% of secure hike emergency radios are likely to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks.

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Azul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radios of each brand 30 times at the same speed and measured how long the radios played in minutes before running out of power. The result of the experiment is displayed in the box plot below.

Secure hike emergency radio 4.0 21,22,24,25,25,25,25,26,27,29,30,30,30,30,33

Streamline radio 25,25,27,28,29,30,30,30,34,36,36,38,39,42

A. 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks, while only 25% of secure hike emergency radios ARE LIKELY to play 30 minutes or longer after 30 cranks.

B. 75% of secure hike emergency radios ARE LIKELY to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios ARE LIKELY to play 30 minutes or longer after 30 cranks.

C. 100%of x- streamline crank radios ARE LIKELY to play 30 minutes or longer after 30 cranks, while only 25% of secure hike radios ARE LIKELY to play 30 minutes or longer after 30 cranks.

Answer : The value of 'x' is [tex]\frac{1}{2}[/tex]

Step-by-step explanation :

As we know that,

The perimeter of square = 4a

The perimeter of equilateral triangle = 3s

('a' is the side square and 's' is the side of equilateral triangle)

Given:

Side of square = a = 2x

Side of equilateral triangle = s = (2x+1/3)

As per question, the square and the triangle have the same perimeter. That means,

Perimeter of square = Perimeter of equilateral triangle

4a = 3s

Now put the value of 'a' and 's', we get the value of 'x'.

[tex]4\times (2x)=3\times (2x+\frac{1}{3})[/tex]

[tex]8x=6x+1[/tex]

[tex]8x-6x=1[/tex]

[tex]2x=1[/tex]

[tex]x=\frac{1}{2}[/tex]

Therefore, the value of 'x' is [tex]\frac{1}{2}[/tex]

Answer:

We have been given the two numbers:

[tex]3.05 \cdot 10^{-3}[/tex]

And [tex]8.92\cdot 10^{6}[/tex]

[tex]x^{-a}=\frac{1}{x^a}[/tex]

[tex]10^{-3}=\frac{1}{10^3}=\frac{1}{1000}[/tex]

So, [tex]3.05 \cdot 10^{-3}=\frac{3.05}{1000}[/tex]

[tex]\Rightarrow 0.00305[/tex]

And [tex]8.92\cdot 10^{6}=\frac{892}{100}\cdot {1000000}[/tex]

[tex]892\cdot 10000[/tex]

[tex]\Rightarrow 8920000[/tex]

[tex]3.05 \cdot 10^{-3}=0.00305[/tex]

[tex]8.92\cdot 10^{6}=8920000[/tex]

Therefore, the area of trapezoid ABCD is 54 square units.

To find the area of trapezoid ABCD, we can use the properties of a trapezoid and the given information.

First, let's denote the unknown base of the trapezoid as BD = b. Since AD and BC are the other two bases, we have AD = 10 and BC = 8. The height of the trapezoid is the same as the altitude of triangle ACD, which is KC = h and is given to be such that the area of triangle ACD is 30.

The area of a triangle is given by the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]

 For triangle ACD, we have:

[tex]\[ 30 = \frac{1}{2} \times AD \times h \][/tex]

[tex]\[ 30 = \frac{1}{2} \times 10 \times h \][/tex]

[tex]\[ h = \frac{30 \times 2}{10} \][/tex]

[tex]\[ h = 6 \][/tex]

Now that we have the height of the trapezoid, we can calculate the area of the trapezoid using the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height} \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times (AD + BC) \times h \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times (10 + 8) \times 6 \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times 18 \times 6 \][/tex]

[tex]\[ \text{Area} = 9 \times 6 \][/tex]

[tex]\[ \text{Area} = 54 \][/tex]

Juanita keeps 25% of the profit from her ice cream shop.

The shop makes $750 per month.

We have to find how much money Juanita will keep.

By the given condition,

Juanita will keep 25% of $750 profit

Now 25% of $750 is 25 /100 * 750

= 18750/100

= $187.50

Therefore Juanita will keep $187.50 of her total profit of $750 per month.

Hope this helps..!!

Thank you :)

Answer:

B) [tex]\displaystyle f(x) = -3[/tex]

Step-by-step explanation:

[tex]\displaystyle y ← f(x) \\ \\ y + 3 = 0; y = -3 \\ \\ f(x) = -3[/tex]

Answer: I don’t know

Step-by-step explanation: I don’t know

When two forces act on an object with opposite directions and equal magnitudes, the net force can be zero, leading to equilibrium. This state of equilibrium ensures no acceleration in any direction. Internal forces within a system always occur in opposite pairs, resulting in a net internal force of zero.

Net Force Must Be Zero: When an object has two forces acting on it, the net force can equal zero if the forces are equal in magnitude but opposite in direction, canceling each other out. This results in a balanced force system, leading to equilibrium.

Examples of Equilibrium: One example is a car moving at a constant speed on a highway due to balanced forces. In static equilibrium, both the net force and net torque on an object must be zero, showing no acceleration in any direction.

Internal Forces: Internal forces within a system always appear in equal and opposite pairs, resulting in a net internal force of zero within the system.