1) If the price of 3pens , 2 pencils and 4 erasers is 92. The price 16 Erasers and the price of 8 pencils is 68 then the the price of 24 pens is​

Answer:

Step-by-step explanation:

You want the values of x and PS for the trapezoid in the figure, given that its perimeter is 228 units.

The trapezoid is shown as an isosceles trapezoid, so PS = RQ. The Triangle RTQ will be repeated on the left side, meaning there is a point T' below point S such that T'P = 4 and T'T = SR = 4x+1.

The perimeter is the sum of side lengths. Working clockwise from the upper left corner this is ...

  perimeter = (4x+1) +(2x -3) +4 +(4x +1) +4 +(2x -3) = 12x +4

Solving for x, we find ...

  12x +4 = 228

  12x = 224

  x = 224/12

  x = 18 2/3

And PS is ...

  PS = RQ = 2x -3 = 2(18 2/3) -3 = 37 1/3 -3

  PS = 34 1/3

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Answer:

  a = -2/9

Step-by-step explanation:

Locate two points that cross grid intersections and compute the slope of the line between them. I would choose the vertex (4, 4) and the point (-5, 2) as being points where the graph crosses grid intersections.

The slope of the line between those points is given by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (2 -4)/(-5 -4) = -2/-9 = 2/9

We note that this representation of the absolute value function appears inverted (reflected across the x-axis). That means the coefficient 'a' will be negative. The slope of an unmodified absolute value function is -1 to the left of the vertex. It will only be 2/9 if the function has been multiplied by -2/9.

  a = -2/9

__

Additional comment

The vertex on the graph is at (4, 4), so the values of (h, k) are (4, 4).

Answer:

[tex]-\frac{2}{9}[/tex]

Step-by-step explanation:

Using the points (-5,2) and (4,4), the slope is given as 2/9. This is an absolute value graph, so from this information the slope is either 2/9 or -2/9. The graph faces downwards, so the slope is negative and therefore [tex]-\frac{2}{9}[/tex].

Answer:

-16.666

Step-by-step explanation:

You can find the reciprocal by turning the intended fraction upside down.

[tex]\frac{-0.06}{1}[/tex] ⤭ [tex]\frac{1}{-0.06}[/tex] = [tex]\frac{100}{-6}[/tex] = [tex]\frac{50}{-3}[/tex] = -16.6666666667

Answer:

A- not sure how to show u

B- 50% or 1/2

C-33% or 1/3

D- 40% or 2/5 im not sure

Step-by-step explanation:

Answer:

The answer is 228 bags left

12x-10x=2x

2XAfter 2 minutes per mile

The total cost of canvas required to make the tent at the rate of Rs. 15 per square meter is; Rs. 24,997

We are told that the bottom part of the tent house is a square cuboid up to a height of 10 m.

Thereafter, it is a pyramid.

Now, formula for volume of a cuboid is;

V = lwh

V = 20 * 20 * 10

V = 4000 m³

Formula for volume of a pyramid is;

V = lwh/3

V = (20 * 20 * h)/3

V = 400h/3

Total volume is 4800 of the entire tent house. Thus;

4000 + (400h/3) = 4800

400h/3 = 800

h = (800 * 3)/400

h = 6 m

Now, from online calculation, the surface area of the pyramid excluding the base is;

TSA_p = 466.48 m²

Total surface area of cuboid excluding the top is;

S.A = 1200 m²

Total surface area of canvas = 1200 + 466.48 = 1666.48 m²

Since cost per sq.m is Rs. 15 per m², then;

Total cost = 15 * 1666.48

Total Cost = Rs. 24,997

Read more about Total Cost at; https://brainly.com/question/25109150

Answer:

11 hours

Step-by-step explanation:

$386.25 - (35 x $7.50) = $123.75 <--- overtime

$7.50 x 1.5 = $11.25

$123.75 / $11.25 = 11 hours overtime

Answer:

Step-by-step explanation:

Find OB:

Find BC:

Find DB:

Find BE:

Find DE:

Answer:

x = 12 and y = -9

                                            Explanation:

Given:

2 x +3y = -3

3x + 5y = -9

make x the subject:

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

[tex]2x = -3 - 3y[/tex]

[tex]x = \frac{-3 - 3y}{2}[/tex] _____equation 1

[tex]3x + 5y = -9[/tex]

[tex]3x = -9-5y[/tex]

[tex]x = \frac{-9-5y}{3}[/tex] ______equation 2

solve them simultaneously:

[tex]\frac{-9-5y}{3} = \frac{-3 - 3y}{2}[/tex]

[tex]2(-9-5y) = 3(-3-3y)[/tex]

[tex]-18-10y = -9 - 9y[/tex]

[tex]-10y + 9y = -9 + 18[/tex]

[tex]-y = 9[/tex]

[tex]y = -9[/tex]

now solve for x:

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

[tex]2x + 3(-9) = -3[/tex]

[tex]2x -27 = -3[/tex]

[tex]2x = -3 + 27[/tex]

[tex]2x = 24[/tex]

[tex]x = 12[/tex]

coordinates where they both intersect is (12,-9) at one point so they have one solution

Answer:

x = 12

y = -9

The system has one solution as it has one point of intersection at (12, -9)

Step-by-step explanation:

Equation 1:   [tex]2x + 3y = -3[/tex]

Equation 2:   [tex]3x + 5y = -9[/tex]

Rewrite equation 1 to make [tex]x[/tex] the subject:

       [tex]2x + 3y = -3[/tex]

[tex]\implies 2x = -3 - 3y[/tex]

[tex]\implies x = -\dfrac32 - \dfrac32 y[/tex]

Substitute this into equation 2 and solve for [tex]y[/tex]:

       [tex]3( -\dfrac32 - \dfrac32 y)+5y=-9[/tex]

[tex]\implies -\dfrac92 - \dfrac92 y+5y=-9[/tex]

[tex]\implies -\dfrac92 +\dfrac12 y=-9[/tex]

[tex]\implies \dfrac12 y=-\dfrac92[/tex]

[tex]\implies y=-9[/tex]

Substitute y = -9 into one of the equations to find [tex]x[/tex]:

      [tex]2x + 3(-9) = -3[/tex]

[tex]\implies 2x - 27 = -3[/tex]

[tex]\implies 2x = 24[/tex]

[tex]\implies x=12[/tex]

Answer:

3/4

Step-by-step explanation:

common denominator is 28

20/28 and 21/28 so 3/4 is greater

5/7 = 0.71

3/4 = 0.75

¾ is greater.

- Toodles!~

Answer:

(-2,6)

Step-by-step explanation:

Since both of the equations are equal to y, we can set these equations equal to each other. This means that the new equation using substitution is -8x-10=-6x-6.

-8x=-6x+4

-2x=4

x=-2

This means that the x value is -2. Then, to find the y value, substitute -2 into the first equation (the second equation also works if you want to). So, the equation looks like y=-8(-2)-10. Solve this and it gives you y=6. Therefore, the final coordinate pair is (-2,6).

Answer:30, 75, 60.

Step-by-step explanation:

Answer:

6x^2-10x-7

Step-by-step explanation:

(7x^2-4x-8) - (x^2+6x-1)

Distribute the minus sign

(7x^2-4x-8) - x^2-6x+1

Combine like terms

(7x^2-x^2 -4x-6x -8+1

6x^2-10x-7

The slope of these lines is -17/7

Answer:

x=12

Step-by-step explanation:

Using the external angle theorem (external angle = sum of interior angles that are NOT adjacent to the external angle you are finding), we can set up an equation...

140=3x+4+8x+4

Start by combining like terms...

140=11x+8

Subtract 8 from both sides

132=11x

Divide both sides by 11

x=12

[tex]\\ \rm{:}\rightarrowtail tan50=\dfrac{p}{12}[/tex]

[tex]\\ \rm{:}\rightarrowtail p=12tan50[/tex]

[tex]\\ \rm{:}\rightarrowtail p=12(1.19)=14.3[/tex]

Now

Area=

[tex]\\ \rm{:}\rightarrowtail \dfrac{1}{2}(12)(14.3)=6(14.3)=85.8cm^2[/tex]

The residual value when the value of x = 4 is -1, the correct option is B.

Given

Melissa collected the data in the table.

The difference between the observed value of the dependent variable (y) and the predicted value (ŷ) is called the residual.

The value of x= 4 then the value of residual is given by;

[tex]\rm Residual=Given - predicted \ value[/tex]

Here, given is 9 and the predicted value is 10 for x =4.

Substitute all the values in the formula;

[tex]\rm Residual=Given - predicted \ value\\\\\rm Residual=9-10\\\\\rm Residual=-1[/tex]

Hence, the residual value when the value of x = 4 is -1.

To know more about residual value click the link given below.

brainly.com/question/15996059

Answer:

B

Step-by-step explanation:

Answer:

494,314

Step-by-step explanation:Rounding to the nearest whole person, 494,314 people in 12 years.

Answer:

pie x r² x h is volume of cylinder

Answer:

a = 117°

Step-by-step explanation:

The exterior angle of a triangle = the sum of the remote interior angles.

a + 25° = (a - 47°) + (a - 45°)

a + 25° =  (a + a) + (-47 - 45)

a + 25° = 2a - 92°

-2a        =  -2a        

-a  +25   =    -92

      -25  =     -25    

-a            =  -117°

a = 117°

Answer: i think 8

Step-by-step explanation: trebled means three times so 8x3=24 then 24-5=19

Answer:

1/5x dogs were on a leash

Step-by-step explanation:

To work through this problem we have to keep in mind that x represents the number of dogs at the park.

1/5 of x dogs are leashed.

Therefore, we can conclude that the answer is 1/5x.

I have no idea if the picture of the dogs was meant to give a clue but hope this helps :)

Answer:

y=2x+3

Step-by-step explanation:

Hi there!

We want to write the equation of the line

We are given that the y-intercept of the line is (0,3) and that the line also goes through the point (2,7)
There are many ways to write the equation of the line, but the most common way is slope-intercept form, which is given as y=mx+b, where m is the slope and b is the y intercept

The value of b is actually the value of y in the point making point of the y intercept
In this case, that point would be 3

So the value of b in this case is 3

Substitute 3 as b into the equation:
y=mx+3

Now we need to find m

As the equation passes through the point (2,7), we can use it to help solve for the value of m

Substitute 2 as x and 7 as y into the equation:

7=2m+3

Subtract 3 from both sides

4=2m

Divide both sides by 2

m=2

Substitute 2 as m into the equation:

y=2x+3

Hope this helps!

Take a look here if you wish to have a similar problem for practice (n.b., the solution uses a different method than the one shown here): https://brainly.com/question/7457022

Answer:

15m

Step-by-step explanation:

to answer this question, we need to use pythagorean theorem. this theory says:

a² + b² = c²

so, let’s work out b.

a² + b² = c²

20² + b² = 25²

20 x 20 = 400. 25 x 25 = 625.

400 + b² = 625.

we want to solve for b, which means to get b in it’s own, so we are going to get rid of the 400 on both sides, leaving just b² on the one side.

625-400=225.

b² = 225

b = √225

b = 15 :)

hope this helps!!!!

Answer:

[tex]y=e^x+3[/tex]

Step-by-step explanation:

By inspection, we can see that the curve crosses the y-axis at (0, 4)

Therefore, when x = 0, y = 4

Inputting x = 0 into the equations:

[tex]y=e^{x-3} \implies y=e^{-3}[/tex]

[tex]y=e^x+3 \implies y=e^0+3=1+3=4[/tex]

[tex]y=e^{x+3} \implies y=e^4[/tex]

[tex]y=e^{x-3}+3^3=e^{-3}+27[/tex]

Therefore, the only equation that gives y = 4 when x = 0 is [tex]y=e^x+3[/tex]

Check option B

[tex]\\ \rm\longmapsto y=e^x+3[/tex]

Put values

[tex]\\ \rm\longmapsto y=e^0+3=1+3=4[/tex]

Hence option B is correct

Answer:

904.77

Step-by-step explanation:

(4/3) · π · r3 = (4÷3)×π×(6^3) = 904.778684 = 904.77

Answer:

A It cannot be determined from the information given.

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

trust