If the model was built using a 1-to-64 scale, and the length of the model is 10.5 inches, What is the length of the actual tractor in feet?

Answers

Answer 1

Answer:

The length of the actual tractor is:

56 feet.

Step-by-step explanation:

Firstly, you must know the conversión between inches and feet:

1 foot = 12 inches

Or

1 inch = 0.0833333 feet

How the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:

Length of the actual tractor = 10.5 inches * 64 = 672 inches

The paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:

1 foot = 12 inchesx = 672 inches

And we operate:

x = (672 inches * 1 foot) / 12 inches

After we cancel the unit "inches:"

x = 672 feet / 12x = 56 feet

For this reason, we obtain the final value of 56 feet to the actual length of the tractor.  


Related Questions

2. Daniel paid $22 for a water bottle. This amount includes 5% tax. What was the cost of the item before tax?

Answers

Answer:

$20.9

Step-by-step explanation:

100%=22

95%=x

95x22=2090/100=20.9

Answer:

$20.95 (rounded)

Step-by-step explanation:

To solve this, you need to first make an equation where x is the original cost before tax. So it would be 22=1.05x. You know it is 1.05 because 1 is the "whole" original cost and 0.05 is the 5% tax in decimal form. To solve the equation, you divide both sides by 1.05 to get x=20.95

3. What is the solution to the equation 3x = 15? Express the
solution as a logarithm, make an estimate, and then evaluate.
Round to the nearest thousandth.

Answers

Answer:

x=2.4650

Step-by-step explanation:

I assume that you mean [tex]3^x=15[/tex]

so let s use the ln() function

[tex]ln(3^x)= xln(3)=ln(15)[/tex]

so x = ln(15)/ln(3)

x = 2.4650

Help! Look at the picture

Answers

Answer:

171 square ft

Step-by-step explanation:

Area of side walk of the pool = Are of outer square - Area of inner square

[tex] = {30}^{2} - {27}^{2} \\ = (30 + 27)(30 - 27) \\ = 57 \times 3 \\ = 171 \: {ft}^{2} [/tex]

What is the answer? To this question

Answers

Answer:

x = 5

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.

Therefore,

4x - 5 = 3x

4x  = 3x + 5

4x - 3x = 5

x = 5

Can someone help me on this math question?

Answers

Answer:

23°.

Step-by-step explanation:

Look closely at the spots where A and C connect. They end in the same exact place, suggesting that they are the same number of degrees.

It's a no-brainer.

20 POINTS!! Let logb A = 3; log, C = 2; log, D= 5
What is the value of logb(a5c2/d6)?

Answers

Answer:

-11

Step-by-step explanation:

logb ( a^5 c^2 / d^6)

Splitting these into log (xy/z) = log x + log y  -  logz

logb ( a^5)  +logb ( c^2)  - logb( d^6)

We also know that log x^y = y log x

5logb ( a)  +2logb ( c)  - 6 logb( d)

Given logb ( a)=3  logb ( c) =2   logb( d)=5

5 * 3 + 2* 2 - 6* 5

15 +4 -30

19 - 30

-11

Answer: -11

Step-by-step explanation:

just got it right on ap3x

IO
80
14x + 2
The figure is a parallelogram.
Solve for x.
'S
2
7

Answers

Answer:

x = 7

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, thus

80 + 14x + 2 = 180

14x + 82 = 180 ( subtract 82 from both sides )

14x = 98 ( divide both sides by 14 )

x = 7

In the given parallelogram QRST, x = 7°.

What are adjacent angles?

In a quadrilateral, adjacent angles are the pair of angles, that come is formed by the intersection of any common line.

How do we solve the given question?

In the question, we are shown a parallelogram QRST and are asked to find the value of x.

We know that ∠TQR and ∠QRS are adjacent, as they include a common side, QR.

∠TQR = 80°, ∠QRS = (14x + 2)°

Now, we know that adjacent angles of a parallelogram are supplementary, that is their sum = 180°

∴ ∠TQR + ∠QRS = 180°

or, 80° + (14x + 2)° = 180°

or, 14x = 180° - 80° -2° = 98°

or, x = 98°/14 = 7°

∴ In the given parallelogram QRST, x = 7°.

Learn more about Parallelograms at

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Im having trouble on these ones. Can someone help>

Answers

Answer:

9. 40°

10. 50°

11. 270°

12. 310°

Step-by-step explanation:

m∠BPC = 40° because it is complementary to ∠APB, which is 50°.

Arc AB is 50° because it will be equal to the central angle, which is 50°.

Arc ADC is 270° because it will be equal to the central angle, which is 270°.

Arc ADB is 310° because it will be equal to the central angle, also 310°.

Help me on this last one

Answers

Answer:

The answer is A. [tex]g(x)=4x^2[/tex]

A bullet exits the barrel of a gun at 625 m/s. How long does it take to
hit a target that is 2.0 km away?

Answers

Answer: 3.2 seconds

Step-by-step explanation:

Time = Distance / speed

= 2000 / 625

= 3.2 seconds

solve for x
9^x/9^3=9^5​

Answers

Answer:

9^x =9^5.

9^3

cross multiply

9^x=9^5×9^3

the nine cancel themselves .

x=5+3=8.

Answer:

x=8

Step-by-step explanation:

when dividing, you subtract the indicies (powers) and vice versa

rearrange the equation:

9^x=9^5​*9^3

5+3= 8 (add because when multiplying with indicies you need to add the indicies)

check answer:

9^8/9^3=9^5​

8-3=5 ✓

Help!!!
Point A(-5,8) is reflected across the line y = x. What are the coordinates of A’?
Show your work an explain!

Answers

Answer:

(8, -5)

Step-by-step explanation:

When you reflect across the line y = x, you switch the two numbers in the coordinate. The point (a, b) turns into (b, a).

Find the equation of a line that passes through left parenthesis 1 comma 6 right parenthesis(1,6) and is parallel to the graph of y equals 4 x plus 5y=4x+5. Write the equation in​ slope-intercept form, if possible.

Answers

Answer:

The equation for the new line in slope-intercept form is:  

[tex]y=4x+2[/tex]

Step-by-step explanation:

Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)

We are also given a point the new line should go through : "(1, 6)"

So we can use the "point-slope" form of a line to find the equation of this new line:

[tex]y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0[/tex]

which for our case is:

[tex]y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2[/tex]

look for prefixes and suffixes in these words and move each word into its correct category

Answers

Answer:

words with prefixes: pro-duce. uni-cycle.

words with suffixes: hope-ful. goof-y.

words with both: multi-function-al. un-fix-able.

Words with Prefixes

Produce

Unicycle

Words with Suffixes

hopeful

Goofy

Words with Both

Multifunctional

Unfixable

Hope this helped. If it did, please mark as brianliest as it helps me and others find the correct answer. Thank you! :)

Please answer, I need help.

Brandon decided to take his family to a water park and celebrate the end of the school year. The cost is $9.50 for parking and $15 for each person for the entire day.

a. Define the variable and write a linear equation for the situation

b. Use the equation to find the cost if Brandon has 5 members in his family

Answers

Answer: a) Cost(x) = $9.50 + $15*x

b)  $84.50

Step-by-step explanation:

a) If x is the number of members in the family, we can model this situation with a linear equation, where x is the variable.

We have:

A fixed $9.50 (this does not depend on the number of members in the family)

and $15 for each member, so the equation that represents this is:

Cost(x) = $9.50 + $15*x

b) now we have x = 5, then:

Cost(5) = $9.50 + $15*5 = $84.50

Answer:

a. y = 9.50 + 15a

b. total cost(y) = 84.5

Step-by-step explanation:

Brandon decided to take his family to a water park to celebrate the end of the school year.

The cost for parking is $ 9.50 which is a flat rate and compulsory rate for parked cars. The cost for each person is $15 .

a. The linear equation can be expressed below.  The variable required in the linear equation will be the number of people that entered the water park(a) and the total cost (y)

let

a = number of person for the entire day

total cost  = y

y = 9.50 + 15a

b. To find the cost for a whole family of 5 member can be calculated below.

Using the linear equation

total cost = 9.50 + 15a

total cost = 9.50 + 15(5)

total cost = 9.50 + 75

total cost(y)= 84.5

Another question worth brainliest and 30 points!
But give me correct answers and i’ll give it to u

Write 18 in lowest terms
30

A. 3/10
B. 3/5
C. 4/5
D. 6/10

Answers

Answer:

B. 3/5

Step-by-step explanation:

I actually dont know how to explain srry

Answer: B; 3/5

Step-by-step explanation: There are multiple different ways for solving this. We could guess and check, convert into a decimal, and/or percentage. Just to keep things simple, I will be converting these to decimals.

First, 18/30=.6

Now we have to convert the following multiple choice into decimals to find out which is equivalent.

3/10=.3 --> This is not .6 so this is incorrect

3/5=---->.6, so this is one choice we could pick

4/5--->.8, so this is incorrect

6/10---> which is also .6, so this option qualifies.

But then, in the question it states the lowest terms. So your answer would be 3/5.

hope this helps

-Carrie

P.S. be sure to mark BRAINLIEST

1) Factor x2 +7x+ 10.​

Answers

The answer is (x+2)(x+5)

The middle number is 7 and the last number is 10.

What numbers when multiplied get 10 AND when added together get 7?

I hope this helped :)

The answer is (X+2)(x+5)

A.line d
B.line c
C.line b
D.line a

Answers

Answer:

B. Line c

Step-by-step explanation:

looking at the points, 3, -2 is on line c.

// have a great day //

whar does it mean that one object has more density than the other object.
pls i need this it is due in not long i put 31 pts for who answers pls.​

Answers

Density is determined by an object's mass and volume. If two objects take up the same volume, but have one has more mass, then it also has a higher density. ... It is about how heavy something is compared to the same amount (volume)

Using the quadratic formula to solve x2 = 5 – x, what are the values of x?

Answers

Answer:

[tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Step-by-step explanation:

The given quadratic equation is

[tex]x^2=5-x[/tex]

It is can written as

[tex]x^2+x-5=0[/tex]

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In the given quadratic equation [tex]a=1,b=1,c=-5[/tex]. So,

[tex]x=\dfrac{-1\pm \sqrt{1^2-4(1)(-5)}}{2(1)}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{1+20}}{2}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{21}}{2}[/tex]

[tex]x=\dfrac{-1+\sqrt{21}}{2},\dfrac{-1-\sqrt{21}}{2}[/tex]

Therefore, the values of x are [tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Use the discriminant to determine the number of real solutions to the quadratic equation. −100a2+20a−1=0 What is the number of real solutions? Select the correct answer below: 0 1 2

Answers

Answer:

1 real solution

Step-by-step explanation:

20² - 4 (-100) (-1)

400 - 400

0

When the discriminant is 0, there is one real solution.

Answer:

1 real solution

Step-by-step explanation:

20² - 4 (-100) (-1)

400 - 400

0

Do 4/ A,B for 11 points.

Answers

Answer:

Look at the picture.

Step-by-step explanation:

Always remember to isolate than divide/multiply

The volume, V, of a rectangular solid is found using the equation V= Iwh, where I is the length, w is the width, and h is the height of the solid. A rectangular solid has length of 16 and height of 5. Which equation represents the volume of the solid, in terms of its width?

Answers

Answer:

Volume = length × width × height

length = 16

height = 5

V= 16 × w × 5

V = 80w

Hope this helps.

What value of b will cause the system to have an infinite
number of solutions?
y = 6x-b
3x+1/2y=-3
-3x + 2 y = -3
b =
O 2
X
04
6
8

Answers

Answer:

6

Step-by-step explanation:

Given the system of equations:

y = 6x-b  (eq. 1)

-3x+1/2y = -3 (eq. 2)

We can rewrite eq. 1 as follows:

-6x + y = -b

Dividing by 2:

(-6x + y)/2 = -b/2

-6x/2 + y/2 = -b/2

-3x + 1/2y = -b/2

The system of equations will have infinite number of solutions if both equations are equal. Therefore:

-b/2 = -3

b= -3*(-2)

b = 6

find the area of this figure

Answers

Answer: 49.12 ft²

Step-by-step explanation:

To find the area of this figure, we can separate it into 2 parts. We can find the area of the semi circle and the area of the triangle. Then we add together to areas.

Area of Triangle

A=bh/2

A=6(8)/2

A=48/2

A= 24 ft²

Area of Semi Circle

A=πr²/2  (Divide by 2 because semi circle is half of a circle, so we divide the area by 2)

A=π(4)²/2

A=(3.14)(16)/2

A=25.12 ft²

Total area

A=24+25.12=49.12 ft²

question in attachment

Answers

Answer:

The range within 1 standard deviation :155.12 ,328.38

Step-by-step explanation:

Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]

[tex]Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}[/tex]

Mean =241.75

[tex]\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]

Standard deviation = [tex]\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}[/tex]

Standard deviation =86.63

Range within 1 standard deviation :[tex](\mu-\sigma,\mu+\sigma)[/tex]

Range within 1 standard deviation :(241.75-86.63,241.75+86.63)

Range within 1 standard deviation :155.12 ,328.38

Hence The range within 1 standard deviation :155.12 ,328.38

Verify sin^4 x - sin^2 x = cos^4 x - cos^2 x is an identity

Answers

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2

sin(x)^2 = 1 - cos(x)^2:

sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2

-(1 - cos(x)^2) = cos(x)^2 - 1:

cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2

sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:

-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2

(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:

-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2

-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:

cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2

The left hand side and right hand side are identical:

Answer:  (identity has been verified)

Use the graphing calculator to graph the function f(x) = –StartRoot x EndRoot. Which list contains three points that lie on the graph of the function? (–9, 3), (–4, 2), (–1,1) (1,1), (4, 2), (9, 3) (–9, –3), (–4, –2), (–1,–1) (1,–1), (4, –2), (9, –3)

Answers

Answer:

(1,–1), (4, –2), (9, –3)

Step-by-step explanation:

In the picture attached, the plot of the function f(x) = -√x is shown.

To verify which points lie on the line we compute the following table.

x    √x    f(x) = -√x

1     1        -1

4    2       -2

9    3       -3

The points which lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the picture attached, the plot of the function f(x) = -√x is shown. To verify which points lie on the line we compute the following table.

x    √x    f(x) = -√x

1     1        -1

4    2       -2

9    3       -3

We can see that the above points are satisfying the function. Therefore points that lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.

To know more about graphs follow

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Do 6,7 for 10 points.

Answers

Answer:

6. x = 3 7. x = 120 8. x= -5

Step-by-step explanation:

the first question is x(-4) + 3 = -9

find the value of x :

-4x + 3 = -9

we can subtract 3 on both sides since we have a value of 3 on the left, which will cancel the value out.

-4x = -12

-4(3) = -12

therefore the answer to problem 6 is x=3

and for 7 :

x / 6 - 9 = 11

we can add 9 on both sides which will cancel it out;

x/6 = 20

120/6 = 20

therefore the answer to the question 7 is 120.

For problem 8 it says :

-3x -5 = 10

we can add 5 on both sides to get:

-3x = 15

-3(-5) = 15

therefore the answer to problem 8 is -5

Complete the equation of the line through (-8,-2)and (-4,6)
use exact number
y=................

Answers

Answer: y=2x+14

Step:

substitute into y=mx+b

m= slope

b = y-int.

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