Your friend is 1.25 times taller than you. Your friend is 60 inches tall. How tall are you?

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]

N=28

Step-by-step explanation:

Subtract 32 from both sides

i think my answer also n=28

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°

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.

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:

$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:

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:

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:

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:

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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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:

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

Answer:

12 pieces

Step-by-step explanation:

75 divided by 6 1/4= 12 pieces

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

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:

−18x+2

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

21/28=3/4

Answer:

3/4

Step-by-step explanation:

Answer: y=2x-20

Step-by-step explanation:

y+18=2(x-1)

y+18=2x-2

y=2x-20

Answer:

-2/9

Step-by-step explanation:

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:

45 Miles

Step-by-step explanation:

3 hours * 15mph= 45 Miles in 3 hours

Answer:

Triangle

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

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]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.

1. Incomplete/ Because they found no gold in that country...

2. Incomplete/ After, they went running through...

3. Complete/ He wants to visit the Moon.

4. Incomplete/ The boy who has lots of freckles...

5. Incomplete I believe/ She turned a page in her book...

6. Incomplete/ A book that I read...

7. Incomplete/ Before the race began....

Answer:

Incomplete/ Because they found no gold in that country...

2. Incomplete/ After, they went running through...

3. Complete/ He wants to visit the Moon.

4. Incomplete/ The boy who has lots of freckles...

5. Incomplete I believe/ She turned a page in her book...

6. Incomplete/ A book that I read...

7. Incomplete/ Before the race began....

Step-by-step explanation:

Answer:

The graph of g(x) is f(x) translated 3 units up.

Answer:

C. y +3 = x +3

Step-by-step explanation:

We need to find in below option x has direct variation with y.

We solve for each;

A. [tex]2y = 3x-7[/tex]

From above equation we can state that 2 times y is equal to 7 less than 3 times of x.

Hence it doesn't represent direct variation.  

B. [tex]y-4 = x+6[/tex]

Solving above expression we get;

[tex]y-4 = x+6\\y = x+6+4\\y=x+10[/tex]

From above equation we can state that y is equal to 10 more than x.

Hence it doesn't represent direct variation.

C. [tex]y+3 = x+3[/tex]

Solving above expression we get;

[tex]y+3 = x+3\\y = x+3-3\\y=x[/tex]

From above equation we can state that y is equal to x.

Hence it represent direct variation.

D. [tex]4y+1 = 4x-1[/tex]

Solving above expression we get;

[tex]4y+1 = 4x-1\\4y = 4x-1-1\\4y=4x-2[/tex]

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.

Hence it doesn't represent direct variation.

Hence the Answer which represent direct variation of x and y is,

C. [tex]y+3 = x+3[/tex]

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]