Write 0.085 as a simplified fraction.

The equivalent expression will be;

⇒ 34p + 6q

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 7p + 3 (2q + 9p)

Now,

Since, The expression is,

⇒ 7p + 3 (2q + 9p)

Hence, Solve for equivalent expression as;

⇒ 7p + 3 (2q + 9p)

⇒ 7p + 6q + 27p

⇒ 34p + 6q

Thus, The equivalent expression is find as,

⇒ 34p + 6q

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Answer:

the lenth of the court is 78 feet

The theorem that proves <DAE=<BAC is Pythagoras theorem.

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Answer:

h(- 10) = 69

Step-by-step explanation:

substitute x = - 10 into f(x) , that is

f(- 10) = - 6(- 10) + 9 = 60 + 9 = 69

The first graph shows how many of each order could fit into a bag that was hanging from a hook. First, a detailed explanation: * Let's discuss the issue's solution.

The quantity of orders of paperclips is x, and the weight of the order of jumbo paperclips is 2 pounds. The order of paperclips weighs 2 x = 2 x, the order of packing tape weighs 3 lbs., and the quantity of orders of packing tape is y. The weight of the tape order is 3 y = 3 y, the weight of the entire order is 2 x + 3 y, and the hook can only support a maximum weight of 6 y. 2x + 3y ≤ 6

The graph that depicts this inequality, Any line's equation is y = mx + c, where m represents its slope.

The y-intercept indicates to replace x in the equation by 0; the x-intercept indicates to replace y in the equation by 0; 2x - 3y 6 is the inequality. 2x + 3y = 6 is the equation for the line.

- Subtract 2x from both sides: 3y = 6 - 2x; - Divide both sides by 3: y = 6/3 - 2/3 x; - Locate the y-intercept: x = 0; y = 2;

The line crosses the y-axis at position (0 , 2)

– Locate the x-intercept.

∵ y = 0

∴ 0 = 2 - 2/3 x

- Adjust both sides by 2/3x.

∴ 2/3 x = 2

Increase both sides by 3.

Divide all sides by 2 to get the answer.

∴ x = 3

The line crosses the x-axis at position (3 , 0)

First and second from the figure.

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The equation of a parabola is y²+12x=0.

A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).

Parabola functions are classified into three types: standard form, vertex form, and intercept form (also known as factored).

as per the given question:

We have a vertex at (0,0) and the directrix is x = 3, a line parallel to the y-axis, it must have a focus at (3,0).

The parabola equation represents the locus of a point (x, y) that moves so that its distance from x=3 and (3,0) is equal. As a result, the parabola equation is, An equation of the parabola represents the locus of a point (x, y), which moves so that its distance from x=3 and (−3,0) are equal. Hence, the equation of a parabola is

(x−(−3))² + (y−0)² = (x−3)²

or (x+3)² + y² = (x−3)²

or x² + 6x + 9 + y² = x² − 6x + 9

or y² + 12x =0

Hence, The equation of a parabola is y²+12x=0.

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The probability that the students will have a pop quiz on a randomly selected day will be A. 0.25.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.

From the information, the probability that students will not have a quiz is 75%. The probability that the students will have a pop quiz on a randomly selected day will be:

= 1 - 75%

= 0.25

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Complete question

The probability that students will not have a quiz is 75%. What is the probability that the students will have a pop quiz on a randomly selected day? a. 0.25 b. 0.52 c. 0.77 d. 0.90

The time at which the object is 6 inches above the rest position will be 4.62 seconds.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

An item is connected to a spring that is extended and delivered. The condition d= - 8cos [(π/6) t] the distance, d, of the item creeps above or underneath the rest position as an element of time, t, in a flash.

d= - 8cos [(π/6) t]

If d = 6, then the value of the variable 't' is calculated as,

6 = - 8cos [(π/6) t]

- 3/4 = cos [(π/6) t]

cos [(77/100)π] = cos [(π/6) t]

Compare the angle, then we have

(π/6) t = (77/100)π

t / 6 = 77 / 100

t = 4.62 seconds

The time at which the item is 6 crawls over the rest position will be 4.62 seconds.

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Answer:

1.5

Step-by-step explanation:

[tex]z+11>0 \implies z>-11 \\ \\ 4z-6>0 \implies z>1.5[ex]

The stricter bound is [tex]z>1.5[/tex].

Answer: PROFIT= 15

PROFIT PERCENT(%)=5%

Step-by-step explanation: As the article is bought at 300 and sold at 315, the difference between the buying and the selling prices is the profit.

Profit is the margin between the price you have bought and the price at which you have sold.

That is 315-300= 15

Now the percentage 15/300*100 = 5

To know the percentage, we have to divide the given value by the total value and after that multiply the result by 100.

Here the given value which is profit is 15 and the total is 300

After dividing 15/300 We get 0.05 and multiply by 100= 5.

So the percentage is 5%.

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Answer: The profit is Rs 15 and the profit per cent is 5%.

Step-by-step explanation:

Purchase Price: Rs 300

Selling Price: Rs 315

profit: 315-300=15 ( profit=selling price -cost price)

profit percentage= (15/300)*100 ( profit percentage= (profit/cost price)*100)

Answer:

288 m^2

Step-by-step explanation:

each side of the room is  8 m       ( 8x8 = 64)

So you have FOUR walls of widht 8 and height 9

   area =   FOUR * ( 9 *8) = 288 m^2

The second price means how much the chips cost per gram. That's what the "/g" part means. Divided by gram. So, the second price of 1000 grams of Nameless chips gets you more chip per cent, because the bag charges $0.002 per gram instead of $0.003 per gram as the other does.

The option C is correct

What is the mathematical ratio?

Definitions: When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls 

Given that:

Everglades Elementary school Purchases 125 fourth grade math's textbooks and 191 fifth grade math's textbooks

Total textbooks = 125 + 191 = 316 books

A box can contain maximum = 28 books

so the ratio of books and box will be = 316/28 = 11 box and 8/28

So total box will be 11 completely filled and the last one will be filled by 8/28

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Two more times company B charge per snack than company A

A ratio in mathematics displays the multiplicative relationship between two numbers. In a bowl of fruit, for instance, the proportion of oranges to lemons is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). In a similar vein, the proportion of oranges to the overall amount of fruit is 8:14, and that of lemons to oranges is 6:8 (or 3:4). (or 4:7).

A ratio can have any number of numbers as its components, including counts of people or things, weights, lengths, and times, among other values.

From the two tables,

0.5/0.25=2

1/0.5=2

1.5/0.75=2

2/1=2

Therefore, 2 more times company B charge per snack than company A

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The GFC of 4800xy³, 1600y is 1600y.

The greatest positive integer that evenly divides into all of the numbers with zero residual is the greatest common factor (GCF, GCD, or HCF) of a collection of whole numbers.

To find the GFC of a given number we will write them as a product of their prime factors.

Here we have

4800xy³ , 1600y

Write the given number as a product of prime numbers

4800xy³ = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × x × y × y × y

1600y =  2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × y  

Now list out the highest common factors

[ Here we will list out the factors which are common in both lists]  

=> 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × y  

=> 1600y

Therefore,

The GFC of 4800xy^3 , 1600y is 1600y

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The mean of the given data is 22.6

In the given question, the following data reflects the overall enrollment in 10 universities of the open skies state in 2019:

23, 14, 27, 35, 7, 16, 25, 23, 35, 21.

We have to compute the mean.

As we know that;

A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set.

To find the mean we firstly add the given data then we divide the sum of data by the total number of data.

Mean = Sum of all data/ Total number

Mean = 23 + 14 + 27 + 35 + 7 + 16 + 25 + 23 + 35 + 21/10

Mean = 226/10

Mean = 22.6

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Step-by-step explanation:

cost of business card - $.75 ( per card )

I want to print 50

So we will multiply 75 × 50

75

×50

00

355×

=375

$.375 will be the cost of the same

Answer:

2x=27-x - given

3x=27 - add x to both sides

x=9 - divide both sides by 3

Step-by-step explanation:

[tex]2x=27-x[/tex]

Simplify:

[tex]2x=-x+27[/tex]

Add x to both sides:

[tex]2x+x=-x+27+x[/tex]

[tex]3x=27[/tex]

Divide both sides by 3:

[tex]\dfrac{3x}{3} =\dfrac{27}{3}[/tex]

[tex]\fbox{x = 9}[/tex]

The system of equations with the same solution set as the system of equations given is presented as follows:

The system of equations for this problem is presented as follows:

Another system of equations will have the same solution set as the system given when it's equations are multiples of the equations in this problem.

This holds true for the first option, as:

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Maximum = 28, Minimum = 1, Lower Quartile = 3, Median = 5, and Upper Quartile = 16

The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half. The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.

The 5 digit summary definition

minimal is a smaller number.

lower quartile: First-half median of the data.

median

upper quartile :Median of the second half of data

greatest number is maximum

The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28

minimum = smallest number = 1

lower quartile = Median of the first half of data = 1 1 1 1 3 3 3 4 4 4 5 5 5 = 3

median = median( middle value) = 5

upper quartile = Median of the second half of data = 6 6 6 13 13 16 16 16 21 22 24 28 28 = 16

maximum = largest number = 28

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Set of ordered pairs (x, y) could represent a linear function A={(-5,2), (2-1), (1.-4), (5-7)}, C={(-1,-1), (0,1), (1,3), (2,6)}

What is  function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.

A function is defined as a relation between input values and output values. The set containing input values is called domain, and the set containing output values is called range.

The most important characteristic of functions (which define them) is that an input value can't have two difference output values. Having said that, notice that sets B and D have pairs that don't follow this rule.

Therefore, the right answers are A and C, because each input value has only one output value.

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Answer:

6

Step-by-step explanation:

Corresponding sides of similar triangles have proportional side lengths.

[tex]\frac{x}{4.5}=\frac{4}{3} \\ \\ x=\frac{4.5(4)}{3} \\ \\ x=6[/tex]

Humans are drawn to foods that are fatty, sweet, rich and complex. Pizza has all of these components.

Notice that I expressed cost in terms of cents so

that we can avoid having to deal with decimals.

In our second equation, 4 slices of pizza and

10 sodas cost $37, that's 4p + 10s = 3700.

Now let's rewrite our two equations on top of one another.

8p + 5s = 3650

4p + 10s = 3700

To solve this system of equations, I would use addition.

I would multiply the bottom equation by -2

to create a situation where our p's will cancel.

When we do that, we get -8p - 20s = -7400.

Now rewrite the equations once again ~

8p + 5s = 3650

-8p - 20s = -7400

Now add the equations together.

So we have -15s = -3,750.

Divide both sides by -15 and s = 250.

Remember that I expressed cost in terms of cents so

since s = 250, it really means that a soda is $2.50.

Now just plug an s back in for the s in one equation.

When we do this, we find that p = 300.

So a pizza is $3.00

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Answer:

f1= -2+1/3

f2= 0

Step-by-step explanation:

3f^2+7f=0

a = 3; b = 7; c = 0;

Δ = b2-4ac

Δ = 72-4·3·0

Δ = 49

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

f1=−b−Δ√2af2=−b+Δ√2a

Δ−−√=49−−√=7

f1=−b−Δ√2a=−(7)−72∗3=−146=−2+1/3

f2=−b+Δ√2a=−(7)+72∗3=06=0

Answer:

they are the same shape but one is 3 .5 times larger. If you divide 42 by 3.5 you get 12 so in order to get x you need to multiply 4ft 6in by 3.5. 4ft 6in • 3.5= 15.75 ft or 15ft and 9in. Hope this helps good luck!

The statement that describes why this sequence is a function is given as follows:

A.The graph of the sequence would pass the vertical line test.

A relation represents a function when each value of the input is mapped to a single value of the output.

In this problem, the input is the number of days, while the output is the number of cans. There are no repeated inputs, which means that this relation is a function.

On the graph, a relation being a function means that a vertical line will intercept the graph of the function only once, and thus option A is correct.

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In 5th year, Anisa and Keith have the same amount of stock value. Anisa bought $100 worth of stock and gained $25 per year. Kevin bought $400 worth of stock and lost $35 per year.

In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.

Given

1. For Anisa

For our problem, we know that she will make $25 annually, thus if x denotes the number of years in which she will make this gain 25x. She made a $100 initial deposit, which is also known as y. The following equation can be used to link the quantities if we assume that the stock value will remain constant throughout time:

y = 25x + 100

2. For Kevin

He is currently losing $35 annually. Let the x years be represented. He will lose -35 times year because we know that losses are represented by a minus sign. We now know that her initial investment y in our situation was $400. The following equation can be used to link the quantities if we assume that the stock value will remain constant throughout time:

y = -35x + 400

On year 5th

For Anisa

y = 25(5) + 100

y = 125 + 100

y = 225

For Kevin

y = -35x + 400

y = -35(5) + 400

y = -175 + 400

y = 225

In 5th year, Anisa and Keith have the same amount of stock value.

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Answer:

2

Step-by-step explanation:

if you do change in y/change in x it would be 8/4 with simplifies down to 2