A positive number is multiplied by itself and then 7 is added. The answer is 16. What is the number?

Answer:

15p+15

Step-by-step explanation:

3(3p+5)-6p+3p(5-1)

9p+15-6p+3p(4)

9p-6p+15+12p

3p+12p+15

15p+15

For this case we have the following system of equations:

[tex]x-5y = 33\\5x-6y = 70[/tex]

We multiply the first equation by -5:

[tex]-5x + 25y = -165[/tex]

Thus, we have the equivalent system:

[tex]-5x + 25y = -165\\5x-6y = 70[/tex]

We add the equations:

[tex]-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5[/tex]

We find the value of the variable "x":

[tex]x-5 (-5) = 33\\x + 25 = 33\\x = 33-25\\x = 8[/tex]

Thus, the solution of the system is:

[tex](x, y) :( 8, -5)[/tex]

Answer:

[tex](x, y) :( 8, -5)[/tex]

Answer:

(3, 2)

Step-by-step explanation:

3x-y=7

2x-2y=2

------------

y=3x-7

substitute this equation to 2x-2y=2

first, simplify 2x-2y=2 into x-y=1.

-----------------------------------------------------

x-(3x-7)=1

x-3x+7=1

-2x+7=1

-2x=1-7

-2x=-6

x=-6/-2=3

y=3(3)-7=9-7=2

Answer: x=3, y=2.

Answer:

45 Miles

Step-by-step explanation:

3 hours * 15mph= 45 Miles in 3 hours

Answer:

1/3

Step-by-step explanation:

2 ÷ 3 /8

To divide by a fraction, multiply by its reciprocal.

2 ( 8 /3 )

Multiply  

2

(

8

3

)

.

Tap for more steps...

16

3

The result can be shown in multiple forms.

Exact Form:

16

3

Decimal Form:

5.

¯

3

Mixed Number Form:

5

1 /3

5 is the quotient and 1 is a reminder.

the result obtained by dividing two numbers is known as the quotient.

dividend / divisor = quotient + reminder

Given problem 2 ÷ 3/8. after simplifying it.

2 ÷ 3/8 = 16 ÷ 3

2 ÷ 3/8 =  5 + 1/3

Therefore the given problem quotient is 5 and the remainder is 1.

Learn more about quotient here:

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Step-by-step explanation:

It is given that [tex]9[/tex] people bought tickets in [tex]70[/tex] seconds.

So,[tex]\frac{9}{70}[/tex] people can buy tickets in a second.

It is given that the current time is [tex]6:09pm[/tex] and movie starts at [tex]6:30pm[/tex].

So there is [tex]30-9=21minutes[/tex] until movie starts.

In [tex]21[/tex] minutes,the number of persons that can buy tickets are [tex]\frac{9}{70}\times 21\times 60=162[/tex].

So,[tex]162[/tex] people can buy tickets in [tex]21[/tex] minutes.

Since there are only [tex]146[/tex] people in front of you,you can buy a ticket.

Answer:

[tex]n = 3[/tex]

Step-by-step explanation:

Given:

The equation given is:

[tex]p^3q^2(p^4q^n\times \frac{r^3}{r^{-4}})=p^7q^5r^7[/tex]

We simplify the given equation using the following law of indices:

[tex]a^m\times a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n}[/tex]

Therefore,

[tex]p^{3+4}q^{n+2}\times r^{3-(-4)})=p^7q^5r^7\\p^7q^{n+2}r^7=p^7q^5r^7\\q^{n+2}=q^5[/tex]

Since the base on both the sides is same, therefore, their exponents must also be same. This gives,

[tex]n+2=5\\n=5-2\\n=3[/tex]

Therefore, the value of 'n' is 3.

Answer:

-2/9

Step-by-step explanation:

Answer:

The Time taken by submarines to travel before the vessel is 11 hours

Step-by-step explanation:

Given as :

The average speed of aircraft carrier = 15 mph

The average speed of submarine = 15 mph

The distance between them = 300 mile

The time taken by aircraft = T hour

The time taken by submarine = T + 2  hour

Now, Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]

So, Distance =  Speed × Time

Now,

300 miles = 15 × T + 15 × ( T + 2)

Or, 300 = 15 T + 15 T + 30

or, 300 - 30 = 30 T

Or, 270 = 30 T

∴ T = [tex]\frac{270}{30}[/tex]

I,e T = 9 hours

So, T + 2 = 9 + 2 = 11 hours

Hence The Time taken by submarines to travel before the vessel is 11 hours Answer

Answer:

Step-by-step explanation:

[tex]-18x+2y\geq-13\qquad\text{add}\ 18x\ \text{to both sides}\\\\-18x+18x+2y\geq18x-13\\\\2y\geq18x-13\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}\geq\dfrac{18x}{2}-\dfrac{13}{2}\\\\\boxed{y\geq9x-6.5}[/tex]

Answer:

x=3, y=1. (3, 1)

Step-by-step explanation:

6x+2y=20

0.5x-0.5y=1

-----------------

6x+2y=20

1/2x-1/2y=1

----------------

6x+2y=20

2(1/2x-1/2y)=2(1)

------------------------

6x+2y=20

x-y=2

-------------------

6x+2y=20

x=y+2

---------------

6(y+2)+2y=20

6y+12+2y=20

8y+12=20

8y=20-12

8y=8

y=8/8

y=1

x=1+2=3

x=3, y=1.

Answer:

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m\ -\ \text{slope}\\b\ -\ \text{y-intercept}[/tex]

[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]

[tex]\text{We have the equation of a line in the standard form.}\\\text{Convert it to the slope intercept from:}\\\\3x-6y=-2\qquad\text{subtract }\ 3x\ \text{from both sides}\\\\-6y=-3x-2\qquad\text{divide both sides by (-6)}\\\\y=\dfrac{-3}{-6}x+\dfrac{-2}{-6}\\\\y=\dfrac{1}{2}x+\dfrac{1}{3}\to m_1=\dfrac{1}{2}[/tex]

[tex]\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-1\cdot\dfrac{2}{1}=-2.\\\\\text{Put the value of a slope and the coordinates of the point (-3, -8)}\\\text{ to the equation of a line:}\\\\-8=-2(-3)+b\\\\-8=6+b\qquad\text{subtract 6 from both sides}\\\\-14=b\to b=-14\\\\\text{Finally:}\\\\y=-2x-14[/tex]

Answer:

Triangle

The triangle has 3 sides but the other ones have 4 sides. A quadrilateral has 4 sides.

N=28

Step-by-step explanation:

Subtract 32 from both sides

i think my answer also n=28

Answer:

9 Miles

Step-by-step explanation:

6+(6/2)=9

Hope this helps!

Answer: 9 miles

Step-by-step explanation:

6 = 10

x = 15

x= 15* 6/ 10

X= 90/10

x= 9

Answer:

3/4

Step-by-step explanation:

21/28=3/4

Answer:

3/4

Step-by-step explanation:

Answer:

45 mph

The drawing will help

Answer: 45 miles per hour

Step-by-step explanation:

3 hours = 135 miles

divide both sides by 3

1 hour = 45 miles as you can write this as 45 miles per hour

Total sales were $4659.1

Step-by-step explanation:

Given,

Commission = 11%

Amount of commission = $512.50

Let,

total sales = x

Therefore,

11% of x = 512.50

[tex]\frac{11}{100}x=512.50\\0.11x=512.50[/tex]

Dividing both sides by 0.11

[tex]\frac{0.11x}{0.11}=\frac{512.50}{0.11}\\x= $4659.1[/tex]

Total sales were $4659.1

Keywords: percentage, division

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Answer:

−18x+2

Step-by-step explanation:

Answer:

Option A is correct.

Step-by-step explanation:

See the two graphs given in the diagram attached.

The first graph shows the function f(x) = x²

Hence, it passes through the points (1,1), (-1,1), (2,4) and (-2,4) points.

Now, from the plotted second graph we see the points (2,2), and (-2,2) are on the curve.

Hence, the y-value corresponding to the same x-value reduces by a factor [tex]\frac{1}{2}[/tex] in the second graph i.e. the graph of y = g(x) compared to the first graph.

So, we can conclude that the transformed graph has the equation [tex]g(x) = \frac{1}{2} x^{2}[/tex].

Hence, option A is correct. (Answer)

Answer:

The answer is g(x) = (1/2) x^2

Step-by-step explanation:

Answer:

25.6

Step-by-step explanation:

$32.00 / 100 = $0.32

$0.32 x 20 = $6.40

So $32.00 - $6.40 = $25.60

Answer: $25.60

Step-by-step explanation: you just subtract 20% fro 30 on a calculator.

Answer:

[tex]\displaystyle -4 + c < -20[/tex]

Step-by-step explanation:

You could either do what I did in the above answer, or you could do this:

[tex]\displaystyle c - 4< -20[/tex]

It does not matter how you write it, as long as you understand the concept!

I am joyous to assist you anytime.

Volume of sphere having radius of 3 inches is 113.04 cubic inches.

Solution:

Given that the radius of a sphere is 3 inches. Need to determine the volume of sphere

Formula for volume of sphere is as follows :

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

Where V is volume of sphere , π is constant value = 3.14 and r = radius of a sphere.

In our case, r = 3 inches

On substituting the value of π as 3.14 and value of r as 3 inches in the formula of volume of sphere, we get

[tex]V=\frac{4}{3} \times 3.14 \times 3^{3}=4 \times 3.14 \times 9=113.04 \text { cubic inches }[/tex]

Hence volume of sphere having radius of 3 inches is 113.04 cubic inches.

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

In this problem we have

[tex]m=0.5\\b=2[/tex]

substitute

[tex]y=0.5x+2[/tex]

The easiest way to graph a line is with a pair of points.

Find the intercepts

The y-intercept is given ----> point (0,2)

The x-intercept is the value of x when the value of y is equal to zero

For y=0

[tex]0=0.5x+2[/tex]

[tex]x=-4[/tex]

so

The x-intercept is the point (-4,0)

Plot the intercepts and join the points to graph the line

using a graphing tool

The graph in the attached figure

Answer:

[tex]x= 28\°[/tex]

Step-by-step explanation:

We have labelled the given diagram and redrawn again in the attachment.

Also from the labelled diagram given below the given details are;

∠CPQ =[tex](5y-4)\°[/tex]

∠RQF =[tex]3y\°[/tex]

∠BRH =[tex](2x+13)\°[/tex]

∠CPQ = ∠PQF  (Alternate Interior Angle)

∠PQF + ∠RQF =180° (Straight angle property)

Now Substituting the values we get;

[tex]5y-4+3y=180\\8y=180+4\\8y=184\\y=\frac{184}{8}=23\°[/tex]

∠RQF =[tex]3y\° = 3\times23 = 69\°[/tex]

∠RQF = ∠BRH (corresponding angles)

[tex]69=2x+13\\2x = 69 -13\\2x=56\\x = \frac{56}{2} = 23\°[/tex]

Hence x = 23°

To find the cost of 24 candy bars, calculate the cost per candy bar (found by dividing $20 by 16, equaling $1.25) and multiply it by 24. Therefore, 24 candy bars would cost $30.

The subject of the question involves unit pricing, a common concept in mathematics. To find the cost of 24 candy bars, first identify the cost per candy bar, then multiply this unit price by the number of candy bars in question.

From the question, we know that 16 candy bars cost $20. So the unit price, or cost per candy bar, is $20 divided by 16, which equals $1.25.

Therefore, the cost of 24 candy bars would be $1.25 (the cost per candy bar) multiplied by 24 (the number of candy bars), which equals $30. Hence, 24 candy bars would cost $30.

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Answer:

$60

Step-by-step explanation:

11 identical pairs of Air Jordan cost $660.

To find the cost of one pair, you have simply to divide the total amount paid by the total number of pairs.

Total amount paid = $660

Total number of pairs = 11

The cost of one pair [tex]=\$660 : 11=\$60[/tex]

To find the cost of one pair of Air Jordan sneakers from the total cost of 11 pairs, divide the total cost ($660) by the number of pairs (11), which equals $60 per pair.

The question concerns determining the cost of one pair of Air Jordan sneakers given the total cost for 11 pairs. This is a basic division problem that falls under the category of arithmetic in mathematics. To find the cost of one pair, divide the total cost by the number of pairs. Here is how the calculation is done step-by-step:

Therefore, the cost for one pair of Air Jordan sneakers is $60.

Answer: y=2x-20

Step-by-step explanation:

y+18=2(x-1)

y+18=2x-2

y=2x-20

Final answer:

The point (3,9) is the solution to the system of linear equations because it satisfies both inequalities y < 3x + 5 and y > -2/3x - 3 when the values of x and y are substituted into them.

Explanation:

To determine which of the given points is a solution to the system of linear equations:

y < 3x + 5
y > -2/3x - 3

We substitute the x and y values of each option into the inequalities to find a match.

For point (3,14): Substitute x = 3 and y = 14 into the inequalities.

Answer: