the dimension of a rectangular plot is [7p+4q] and [3p+8p] unita respectively. Find the area of the plot when p=2 and q=1

Answer:

Step-by-step explanation:

the 6th term of the sequence

an= -3 • 2^n+1 is :  a6 = -3.2^7 = - 384

Hey there!

The number of equal parts that something is evenly distributed into is the divisor.

Hope this helps!

Answer:

Option J. 1,504​

Step-by-step explanation:

we know that

To find out how many cows graze in each section of land, divide the number of cows by the number of sections of land

so

[tex]\frac{9,024}{6}= 1,504\ cows[/tex]

Remember that

The number of cows grazing in each section of land is the same

therefore

In the 2nd section of land graze 1,504 cows

You helped me, a fellow middle schooler, don't ask, I screwed my account, I'm not in collage, I'm 13. Anyway...

Answer: J

Step-by-step explanation:

d = 4m +7n

d - 4m = 7n

(d -4m)/7 = n

d = 4m +7n

We need to isolate n.

d - 4m = 7n

(d - 4m)/7 = n

Done!

Answer:

(-1.5, 2)

Step-by-step explanation:

Add both x coordinates, divide by 2.

(-5) + 2 = -3

-3/2 = -1.5

Add both y coordinates, divide by 2.

5 + (-1) = 4

4/2 = 2

Answer:  The required co-ordinates of the midpoint S are (-1.5, 2).  

Step-by-step explanation:  Given that S is the midpoint of a line segment QR, where the co-ordinates of he endpoints are Q(-5, 5) and R(2, -1).

We are to find the co-ordinates of the midpoint S.

We know that

the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are

[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

Therefore, the co-ordinates of the point S are

[tex]\left(\dfrac{-5+2}{2},\dfrac{5+(-1)}{2}\right)\\\\\\=\left(\dfrac{-3}{2},\dfrac{4}{2}\right)\\\\=(-1.5,2).[/tex]

Thus, the required co-ordinates of the midpoint S are (-1.5, 2).  

This is an arithmetic sequence with the first term adding 5 to get to the next term.

Answer:

-2 5/14

Step-by-step explanation:

let's firstly convert the mixed fractions to improper fractions and then divide.

[tex]\bf \stackrel{mixed}{10\frac{2}{7}}\implies \cfrac{10\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{72}{7}}~\hfill \stackrel{mixed}{4\frac{4}{11}}\implies \cfrac{4\cdot 11+4}{11}\implies \stackrel{improper}{\cfrac{48}{11}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf -\cfrac{72}{7}\div -\cfrac{48}{11}\implies \cfrac{-72}{7}\div \cfrac{-48}{11}\implies \cfrac{\stackrel{3}{~~\begin{matrix} -72 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{7}\cdot \cfrac{11}{\underset{2}{~~\begin{matrix} -48 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{33}{14}\implies 2\frac{5}{14}[/tex]

Answer:

The inequality is:

49.3+4.8r <74.5

The solution set is r < 5.25

Step-by-step explanation:

Answer:

The solution set is r < 5.25

and The inequality is:

49.3+4.8r <74.5

Step-by-step explanation:

Hi Im FREDDDDD

Answer: The answer would be 1.5

Step-by-step explanation: From 8-6 it is 10 hours. Then you go from 4 inches to 19 inches. So every 10 hours is 15 inches more of snow. If you divide 15 by 10 then it is 1.5

To solve for the number of each type of soccer ball sold for $2,400 in total and a combined quantity of 70 balls, we set up a system of equations. However, without specific pricing for each type of ball, it's impossible to provide a unique solution. The ideal approach, if prices were known, would be to use substitution or elimination methods.

To determine how many of each type of soccer ball were sold by the sports store when a total of 70 soccer balls were sold for $2,400, we can set up a system of equations. Let's call the number of the first type of soccer ball sold x and the second type y. We also know that one type of ball cost more than the other, so let's assume the first type costs a dollars and the second type costs b dollars, with a > b. We can establish the following equations based on the given information:

To solve this system of equations, we would generally need the price of each type of soccer ball. As we do not have this information, we are unable to solve this problem uniquely. However, the general approach would involve using either the substitution method or the elimination method to find the values of x and y. This will give us the number of each type of soccer ball sold.

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Answer:

The price of one Wii game is $50

Step-by-step explanation:

Let the cost of 1 Nintendo DS games be x

Cost of 2 Nintendo DS games = 2x

Cost of 3 Nintendo DS games = 3x

Let the cost of 1 Wii game be y

Cost of 4 Wii game = 4y

Cost of 2 Wii game = 2y

Now we are given that Emily went to a toy store that was selling two Nintendo DS games and four Wii games for a total of $240

So, [tex]2x+4y = 240[/tex]  --- A

Emily bought three DS games and two Wii games and spent $160

So, [tex]3x+2y = 160[/tex] ---- B

Plot lines A and B on graph . Intersection point will provide the solution .

[tex]2x+4y = 240[/tex]   -- Green

[tex]3x+2y = 160[/tex] -- Blue

Intersection Point = (20,50)

So, Cost of 1 Nintendo DS games = $20

Cost of 1 Wii game = $50

Hence the price of one Wii game is $50

The price of one WII game is $50.

2n + 4w = 240 equation 1

3n + 2w = 160 equation 2

Where:

n = price of nintendo games

w = price of wii game

In order to determine the required game, multiply equation 1 by 2 and equation 2 by 3

6n + 12w = 720 equation 3

6n + 4w = 320 equation 4

Subtract equation 4 from 3

8w = 400

w = 50

Answer:

C

Step-by-step explanation:

From the given options, only option E.7.777 is a repeating decimal because its decimal part '7' repeats indefinitely.

In mathematics, a repeating decimal is a decimal fraction that after some place repeats the same sequence of digits indefinitely. From the options given: A.-0347, B.3.611, C.-1.35, D.2.153, and E.7.777, we are looking for which numbers have decimal parts that repeat.

Option A.-0347 is not a repeating decimal because the decimal part '0347' does not repeat indefinitely. Option B.3.611 and Option D.2.153 also do not have repeating decimal parts.

Option C.-1.35 does not have a repeating decimal part either. However, Option E.7.777 is indeed a repeating decimal, as the decimal part '7' repeats indefinitely.

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Answer:

radius^2 = 3 * Volume / (PI * height)

radius^2 = 3 * (142 cc / 3.14159265 * 8.5)

radius^2 = 3 * (142 cc / 26.703537525 )

radius^2 = 15.9529425493

radius = 4.0 cm

Step-by-step explanation:

Final answer:

The radius of a cone-shaped paper cup with a volume of 142 cubic centimeters and height of 8.5 centimeters is approximately 4 centimeters when rounded to the nearest centimeter.

Explanation:

To determine the radius of a paper cup that is a right circular cone with a given volume, we will use the formula for the volume of a cone V = (1/3) πr²h. The volume, V, is provided as 142 cubic centimeters, and the height, h, is 8.5 centimeters.

Rearrange the formula to solve for the radius, r, as follows:

Divide both sides by π and 8.5 to isolate ¹⁄₃r² on one side.

Multiply both sides by 3 to get rid of ¹⁄₃.

Take the square root of both sides to solve for r.

Once we have the value of r, we round it to the nearest centimeter as the question asks for an approximation to the nearest whole number.

Let's perform the calculation:

V = (1/3)πr²(8.5) => 142 = πr²(8.5/3)

142 = (π × 8.5/3)r²

142 / (π × 8.5/3) = r²

r² ≈ 142 / (3.14159 × 8.5/3)

r² ≈ 15.91549431

r ≈ √15.91549431 ≈ 3.99 cm

Round r to the nearest centimeter: r ≈ 4 centimeters

Answer: 37

Step-by-step explanation:

4.55 + 27 = 31.55

31.55 + 5.45 = 37

Answer:

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

Step-by-step explanation:

8x + 4y = 2

-8x - 8x

____________

4y = -8x + 2

__ _______

4 4

y = -2x + ½

↑

rate of change [slope]

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES]:

-2 → ½

I am joyous to assist you anytime.

Answer:

70

Step-by-step explanation: the type of angle it is

Answer:

∠RPS = 70°

Step-by-step explanation:

∠RPT is a right angle and

∠RPS + ∠SPT = ∠RPT ← substitute values

∠RPS + 20° = 90° ( subtract 20° from both sides )

∠RPS = 70°

Answer:

can you please give more info?

Step-by-step explanation:

Answer:

3.7%

PART A

Step-by-step explanation:

First of all, you have to subtract 13.8 - 13.3 = 0.5

Second of all, Divide 0.5 ÷ 13.3, which is 0.037

Third of all/Finally, Multiply 0.037 by 100, which is 3.7%

I hope this helps!

Answer:12,5%

Step-by-step explanation:

In this case 32 represents  one hundred%, and we want to know what is the percentage of 4.  Then it's enough to apply a Rule of Three.  If 32 represents a 100%, 4 will represents X.

This  is 4 x 100 = 400, and then we'll divide between 32

400/32 = 12,5 %

The percent of 32 is 4​ is given as 12.5%

To find the percentage, you divide the part (4) by the whole (32) and multiply by 100:

(4/32) * 100 = 12.5%

To calculate what percent 4 is of 32, you can use the following formula:

(4/32) × 100 = x

Simplifying this expression, we get:

0.125 × 100 = x

x = 12.5

Therefore, 4 is 12.5% of 32.

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Answer:

20%

Step-by-step explanation:

-2021

Answer:

-2

Step-by-step explanation:

add like terms:

7n=-14

n=-2

Have a nice day!!!! :-)

KA

The solution of expression is, n = - 2

We have to give that,

An expression is,

3n + 4n = - 14

Now, Simplify the expression for n as,

3n + 4n = - 14

Combine like terms,

7n = - 14

Divide on both side by 7;

n = - 14/7

n = - 2

Therefore, The solution is, n = - 2

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product of 7 and x i

= 7 × X = 7x

[tex]12 \times \frac{3}{4} = 3 \times 3[/tex]

[tex] = 9[/tex]

now the whole expression becomes

[tex]9 < 7x[/tex]

The sentence given can be written mathematically as : 12¾ < 7x

Using the parameters given ;

Combining the information given;

12¾ less than the product of 7 and x

The sentence given can be written mathematically thus;

Complete Question :

Write the inequality: 12 3/4 less than the product of 7 and a number x

Answer:

y

Step-by-step explanation:

Answer:

the answer is 22.23

Step-by-step explanation:

you multiply 2.85 times 7.8 and you get 22.23

Juan needs to spend  22.23 to buy 7.8 pounds of seedless red grapes.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Juan bought 7.8 pounds of seedless red grapes for 2.85 per pound.

Here the cost of the unit pound is already given, Now to obtain the cost 7.8 pounds we have to multiply the cost of the unit pound and no. of pounds which is,

= (7.8×2.85).

= 22.23.

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let's firstly convert the mixed fraction to improper fraction and then divide.

[tex]\bf \stackrel{mixed}{2\frac{5}{8}}\implies \cfrac{2\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{21}{8}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \cfrac{7}{10}\div \cfrac{21}{8}\implies \cfrac{~~\begin{matrix} 7 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\underset{5}{~~\begin{matrix} 10\\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{\stackrel{4}{~~\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{3}{~~\begin{matrix} 21 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{4}{15}[/tex]

Answer:

8.59

Step-by-step explanation:

1) The and signifies the decimal point

2) Since 59 is in the hundredths place, it would be behind the decimal

Answer: y= -x + 15

Step-by-step explanation:

1.) Put the equation in 1 line: y= x + 3 - 2x + 12

2.) Subtract and add the x's together and the whole numbers together. (1x-2x) (3 + 12)

3.) Put the whole equation together again. y= -x + 15

Answer:

Step-by-step explanation:

F = m / a

cross multiply

m = F /a

To solve F=ma for mass, divide both sides by acceleration to get m=F/a. For a wagon of 55 kg accelerating at 0.0255 m/s², the calculated force is 1.4025 newtons.

To solve the formula F=ma for mass (m), you need to isolate the variable m. This is done by dividing both sides of the equation by acceleration (a), thus the rearranged formula becomes m = F/a. When we apply this to a practical example, if a wagon with mass 55 kg accelerates at a rate of 0.0255 m/s², the force on the wagon can be calculated using the same formula. By substituting the values into the formula, the force F is found as F = 55 kg × 0.0255 m/s², which equals 1.4025 newtons (N).

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