Your response you have been asked to build a scale model of your school out of toothpicks. imagine your school is 30 feet tall. your scale is 1 ft:1.47 cm. if a toothpick is 6.3 cm tall, how many toothpicks tall will your model be

Answer:

5

Step-by-step explanation:

So we want to find the value of x where the area to the left of it is equal to 0.6.

Let's start by finding the area of the first triangle, between x=0 and x=4.

A = 1/2 bh

A = 1/2 (4) (0.2)

A = 0.4

So we know a > 4.  What if we add the area of that rectangle?

A = 0.4 + bh

A = 0.4 + (1) (0.2)

A = 0.6

Aha!  So a = 5.

The mass of the gasoline in the container is 2657.81grams

The ratio of the mass of an object to its volume is its density. Mathematically;

Density = Mass/Volume

Mass = density * volume

Given the following

Density =  750 kg/m³.

Determine the volume

Volume = πr²h
Volume =3.14(0.75)² * 2

Volume = 3.54375 m³

Determine the mass

Mass = 750 * 3.54375

Mass = 2657.81grams

Hence the mass of the gasoline in the container is 2657.81grams

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Answer:

2649 kg

Step-by-step explanation:

I just took the test

Answer:

B

Step-by-step explanation:

The interquartile range is the difference between the upper quartile ( the right side of the box plot ) and the lower quartile ( the left side of the box plot )

For cars this is 29 - 22 = 7 and

For minivans is 21 - 18 = 3

Answer:

The second one, cars 7mpg, minivans 3mpg

Step-by-step explanation:

This is because if you subtrect the upper quartile from the lower quartile you get a range this range is the answer to the queestion.

4, 3, 1, -2, -5

Hope this helps.

The following integers from the greatest to least are as follows:

+4, +3, +1, -2, -5

Answer:

[tex]3m^3-7m^2n+3mn^2-n^3[/tex]

Step-by-step explanation:

[tex](5m^3 + 3mn^2) + (-7m^2n + mn^2 - n^3) - (mn^2 + 2m^3)\\Solving:\\5m^3 + 3mn^2 -7m^2n + mn^2 - n^3 - mn^2 - 2m^3\\Adding\,\,like\,\,terms\,\,\\5m^3 -2m^3+ 3mn^2 -mn^2+mn^2-7m^2n-n^3\\3m^3 +3mn^2-7m^2n-n^3\\Arranging\,\,in\,\,desecnding\,\,order\,\,in\,\,power\,\,of\,\,m\\3m^3-7m^2n+3mn^2-n^3[/tex]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

One tricycle has one seat, three wheels and two pedals

so

The number of seats is equal to 288*1=288 seats

The number of wheels is equal to 288*3=864 wheels

The number of pedals is equal to 288*2=576 pedals

Answer:

The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,

4.2 ft

Step-by-step explanation:

The equation for the volume of a pyramid of base area B and height h is

V = (1/3)·B·h.  Here, V = 432 ft³, B = (12 ft)² and h (height of the pyramid) is unknown.  First we find the height of this pyramid, and then the slant height.

V = 432 ft³ = (144 ft²)·h, so h = (432 ft³) / (144 ft²) = 3 ft.

Now to find the slant height of this pyramid:  That height is the length of the hypotenuse of a right triangle whose base length is half of 12 ft, that is, the base length is 6 ft, and the height is 3 ft (as found above).

Then hyp² = (3 ft)(6 ft) = 18 ft², and the hyp (which is also the desired slant height) is hyp = √18, or √9√2, or 3√2 ft.

The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,

4.2 ft

Answer:

c is the answer

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

$123.25

Step-by-step explanation:

A selling price reflecting a 45% markup can be found by multiplying the wholesale price ($85) by (1 + 0.45), or  1.45:

1.45($85) = $123.25

Answer:

80 just did it in a lesson

Step-by-step explanation:

Answer:

Yeah the other dude is right it is 80

Step-by-step explanation:

Answer:

A. x < 6 and x > - 28

Step-by-step explanation:

We have been given the following inequality;

| x+11 | < 17

We can replace the absolute value function by re-writing the inequality as;

-17< x+11<17

subtract 11 from both sides;

-17-11<x+11-11<17-11

-28<x<6

splitting this we have;

x<6

x>-28

Answer:

A. x < 6 and x > - 28

Step-by-step explanation:

| x+11 |< 17

x + 11 < 17

x < 6

-(x + 11) < 17

-x - 11 < 17

-x < 28

x > - 28

Answer

6 > x > -28 (x < 6 and x > - 28)

Answer:

  A.)  285

Step-by-step explanation:

The sum of an arithmetic series is the sum of the first and last terms multiplied by half the number of terms.

  (10 +85)·6/2 = 285 . . . sum of 6 terms

Answer:

the net change would be 22.50!

Step-by-step explanation:

add 4.50 5 times!

Answer:

The net change to Ian’s account after the utility company lives up to the agreement will be $22.50.

Step-by-step explanation:

The utility company made a mistake on Ian’s electric bill.

The company has agreed to credit Ian’s account for five transactions, each worth $4.50

This gives [tex]4.50\times5=22.50[/tex] dollars

So, the net change to Ian’s account after the utility company lives up to the agreement will be $22.50.

it would be y = −1/2x + 5

Answer:

Richard, at 2/3, versus Cooper, at 5/8

Step-by-step explanation:                              12 min

Richard's ratio of cardio to resistance is  R = ------------ = 2/3

                                                                            18 min

                            10 min

Cooper's is  C = ------------ = 5/8

                            16 min

The LCD here is 24.  Rewrite 2/3 and 5/8 with denominator 24 for greater ease in comparing the two fractions/ratios:

R = 16/24 and C = 15/24

So it becomes obvious that Richard does a higher ratio of carido to resistance.

- 1 <= sin (a) <= 1

-2+5*(-1)<= -2+5sin(pi/12)(x-2)<= -2 +5*(1)

so

the minimum value of y is

y = - 2 + 5 * ( - 1 ) = - 7

hope this would help you

Answer:

[tex]\Large \boxed{-7}[/tex]

Step-by-step explanation:

We can find the minimum of the function by plotting the function on the graph.

[tex]\displaystyle \mathrm{y=-2+5 \cdot sin(\frac{\pi }{12}(x-2) )}[/tex]

The minimum value is the y value of the lowest point on the graph.

I’m not sure but I think it might be the second one, 6x^3y^6

the answer is b the second choice

Answer: Third Option

[tex]y = -10x + 110[/tex]

Step-by-step explanation:

The equation of a line in the pending intersection form has the following form:

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

Where m is the slope of the line and b is the intersection with the y axis.

Observe in the graph that the data form a decreasing line. Then the adjustment line must have a negative slope [tex]m <0[/tex].

The first and the second option have positive slopes, therefore we discard them.

Notice in the scatter diagram that the intersection of the line with the y-axis (x = 0) is above 90.

The line of the fourth option has a value of [tex]b = -110 <90[/tex].

Therefore the line that best fits the data is the third option

[tex]y = -10x + 110[/tex]

Note that the line has a slope [tex]m = -10[/tex] and a value of [tex]b> 90[/tex]

Answer:

C

Step-by-step explanation:

49x² + 28xy + 4y² ← is a perfect square of the form

(ax + by)² = a²x² + 2abxy + b²y²

49 = 7² ⇒ a = 7 and 4 = 2² ⇒ b = 2

2ab = 2 × 7 × 2 = 28

Hence

49x² + 28xy + 4y² = (7x + 2y)²

with factor 7x + 2y ⇒ C

1.Make y the subject

k = xy

k/x = xy/x

y = k/x

2.Substitute

y = k/x

y = 7/9

y = 0.777......

y = 0.8 (Answer)

To confirm

k = xy

k = 9 × 0.8

k = 7.2

k = 7 (constant)

Hope it helps☺

Answer:

7/9

Step-by-step explanation:

Answer:

y = 57, PQ = 60, RS = 28

Last option is the answer

Step-by-step explanation:

3 * y = 9 * 19

3y = 171

y = 57

PQ = 3 + 57 = 60

RS = 9 + 19 = 28

Answer:

y = 57; PQ = 60; RS = 28

Step-by-step explanation:

The product of lengths of parts of a chord is a constant, so ...

PT·TQ = RT·TS

TQ = y = RT·TS/PT = 9·19/3 = 57

Of course the total chord length is the sum of its parts, so ...

PQ = PT +TQ = 3 +57 = 60

RS = RT +TS = 9 +19 = 28

Then your answer choice is ...

y = 57; PQ = 60; RS = 28.

Answer:

x=4

Step-by-step explanation:

Simplifying

4x + 16 + -1x = 22 + 6

Reorder the terms:

16 + 4x + -1x = 22 + 6

Combine like terms: 4x + -1x = 3x

16 + 3x = 22 + 6

Combine like terms: 22 + 6 = 28

16 + 3x = 28

Solving

16 + 3x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16' to each side of the equation.

16 + -16 + 3x = 28 + -16

Combine like terms: 16 + -16 = 0

0 + 3x = 28 + -16

3x = 28 + -16

Combine like terms: 28 + -16 = 12

3x = 12

Divide each side by '3'.

x = 4

Simplifying

x = 4

Hope this helps! And please correct me if I'm wrong so others can have the correct answer.

For this case we must solve the following equation:

[tex]4x + 16-x = 22 +6[/tex]

We add similar terms on both sides of equality:

[tex]3x + 16 = 28[/tex]

We subtract 16 from both sides of the equation:

[tex]3x = 28-16\\3x = 12[/tex]

We divide between 3 on both sides of the equation:

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

ANswer:

[tex]x = 4[/tex]

Angles TOS and ROQ are congruent, so [tex]m\angle ROQ=m\widehat{RQ}=28^\circ[/tex].

RT is a diameter of the circle, so [tex]m\widehat{RT}=180^\circ[/tex], and in particular

[tex]m\angle ROQ+m\angle QOP+m\angle POT=180^\circ\implies m\angle QOP=62^\circ[/tex]

Then

[tex]m\widehat{RPS}=28^\circ+62^\circ+90^\circ+28^\circ=\boxed{208^\circ}[/tex]

The measure of arc RPS = [tex]208^{\circ}$$[/tex].

The measure of an inscribed angle is half the measure of the intercepted arc.

(The measure of the arc is twice the measure of the angle)

Arc length is a measurement of distance, so it cannot be in radians.

Angles TOS and ROQ are congruent,

so [tex]$m \angle R O Q=m \widehat{R Q}=28^{\circ}$[/tex].

RT is the diameter of the circle,

so [tex]$m \widehat{R T}=180^{\circ}$[/tex], and in particular [tex]$m \angle R O Q+m \angle Q O P+m \angle P O T=180^{\circ}[/tex]

[tex]\Longrightarrow m \angle Q O P=62^{\circ}$[/tex]

Then

[tex]$$m \widehat{R P S}=28^{\circ}+62^{\circ}+90^{\circ}+28^{\circ}=208^{\circ}$$[/tex]

[tex]$$m \widehat{R P S}=208^{\circ}$$[/tex]

The measure of arc RPS = [tex]208^{\circ}$$[/tex].

Therefore, the correct answer is option (b) [tex]208^{\circ}$$[/tex].

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Answer:

2,520 pounds

Step-by-step explanation:

Step 1: For this question, all you have to do is multiply 4,000 * 0.63. In other words, you are multiplying the amount you have by the conversion rate. 4,000 * 0.63 is 2,520. That's our answer.

Answer:

A.-7

Step-by-step explanation:

If [tex]2x-3y=11[/tex] and [tex]3x+15=0[/tex]

To know the value of y we need to clear x in the equation [tex]3x+15=0[/tex] and the result replace it in [tex]2x-3y=11[/tex].

Then, let's clear x in the equation [tex]3x+15=0[/tex]

[tex]3x=-15\\x=-\frac{15}{3} =-5[/tex]

Substituting the value of x in the equation [tex]2x-3y=11[/tex]

[tex]2(-5)-3y=11\\-10-3y=11\\-3y=11+10\\y=\frac{11+10}{-3} \\y=\frac{21}{-3}\\ y=-7[/tex]

Answer:

a) y = -7.

Step-by-step explanation:

2x − 3y = 11

3x + 15 = 0

From the second equation:

3x = -15

x =  -5.

Substitute this value in the first equation:

2(-5) - 3y = 11

-10 - 11 = 3y

3y = -21

y = -7.

The following integers from the greatest to least are as follows:

+3, 0, -3, -2, -8

The answer is +3,0,-2,-3,-8

The expression for the perimeter of a rectangle with length (3x-8) cm and width (2x-7) cm is P = 2 * ((3x - 8) + (2x - 7)). After simplification, the final expression for the perimeter is P = 10x - 30 cm.

The perimeter of a rectangle is given by the formula 2 * (length + width). Here, the length of the rectangle is given as (3x - 8) cm and the width is given as (2x -7) cm. Therefore, substituting these into the formula the expression for the perimeter (P) is P = 2 * ((3x - 8) + (2x - 7)).

To simplify this, we first add up the like terms within the parentheses giving us P = 2 * (5x - 15). Then, apply the distributive property of multiplication over addition to simplify further and we get P = 10x - 30 cm. This is the simplified expression for the perimeter of the rectangle.

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That is because the English language is three child languages standing on each other's shoulders in long trenchcoat pretending to be an adult language.

Also, your answer is 32,000in^3

Answer 13;

because sqrt148~12.16

Answer:

The smallest integer greater than √148 is 13

Step-by-step explanation:

√169 = 13

√144 = 12

so √148 is between 12 and 13

12 < √148 < 13

On those option choices

11 and 12 are smaller than √148

13, 14 and 15 are greater than √148

The smallest integer greater than √148 is 13