Amanda builds a scale model of a bridge that is 460 feet in length. She has to use 6-inch long toothpicks to build this model. To build a bridge model that is 512 feet in
length, how long will the toothpicks need to be? Round to the nearest whole unit.
6 inches
7 inches
8 inches
None of these choices are correct.
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Answers

Answer 1

Answer:

6 inches

Step-by-step explanation:

460 ÷ 6 = 76.666666.

512 ÷ 76.666666 = 6.672

6.672 rounded to a whole number is 6.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message.

-kiniwih426


Related Questions

13) The graph
represents the
function g(x).
a) Based on the graph
what is g(0)?
-4
-3
b) What is the
domain and range
of the function?

Answers

Hi there! g(0) means the value of g(x) at x = 0. Look at x = 0 and see which y-point makes x = 0.

See that y = 4 makes x = 0 for the graph. Thus, g(0) = 4.

Next is to find the domain and range. Domain is the set of all x-values while Range is the set of all y-values.

For domain, look at the horizontal x-axis plane and the graph. Notice how the graph infinitely goes up for both negative and positive. Since the graph is in negative and positive as well. That means the domain is all real numbers

For range, look at the vertical y-axis and the graph. Notice how when y < -2, there are no points that are part of the graph. The graph goes infinitely for range as well but there're no y-values less than -2 for the graph.

Therefore, range is y >= -2.

Answer

g(0) = 4domain is set of all real numbers.range is y >= -2

If anyone can please help

Answers

Answer:

Pretty sure it's H

Step-by-step explanation:

The two parabolas intersect at (-1,0) and (0,-1)

Bilal's fishing line was on a spool with a radius of 4 cm. Suddenly, a fish pulled on the line, and the spool spun
16 times before Bilal began to reel in the fish.
What is the distance the fish pulled the fishing line?
Round your answer to the nearest cm.

Answers

Answer:

402 cm

Step-by-step explanation:

Given :

Radius = 4 cm

The Circumference of a circle :

C = 2πr

C = 2 * π * 4 = 8π

Spool is spun 16 times :

Circumference * 16

8π * 16

8 * 3.14 * 16

= 401.92

= 402 cm

Answer:

402 cm

Step-by-step explanation:

please help (math) brainliest

Answers

Answer:

the answer is the first one

A spinner has three unequal sections: red, yellow, and blue. The table shows the results of Nolan's spins.
Find the experimental probability of landing on each color. Enter your answers as simplified fractions.
Color
Red 11
Yellow18
Blue4
Frequency
The probability of landing on red is
The probability of landing on yellow is
The probability of landing on blue is

Answers

Answer:

Yellow will have the best chance because it’s more red will have the second best chance because it is the second biggest and blue you probably will never get it

Step-by-step explanation:

A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 8 ft.
(a) Find the force exerted by the milk on one end of the tank when the tank is full. (Round your answer to the nearest integer.) lb
(b) What if the tank is half full?

Answers

Answer:

a) 12989 Ib

b) 2756.3 Ib

Step-by-step explanation:

Density of milk = 64.6 Ib/ft^3

Diameter of tank = 8 ft

radius = 4 ft

a) Calculate force exerted by milk on one end of tank when Tank is full

pressure on strip ≈ 64.6 ( 4 - yi ) i.e. surface of milk = 4

Total force = 129.2 *  [tex]\int\limits^4_4 {4-y} \sqrt{16-y^2} \, dx[/tex]

∴Force exerted  = 129.2 * Area of semicircle( radius =4 ) * radius

                        = 129.2* 8π * 4 ≈  12989 Ib

b) Force exerted when Tank is half full

pressure on strip ≈ 64.6 ( 0 - yi )  i.e. surface of milk = 0

Total force = 129.2 * [tex]\int\limits^0_4 {0-y} \sqrt{16-y^2} \, dx[/tex]

∴ Force exerted ≈ 2756.3 Ib

don't mind the yt but how/?

Answers

r = 44

12 = r -(34-2)

12 = r -(32)

12 = r-32

r = 32+12

r = 44

Please help me with this problem
Question: 5d - 6 + 8 -3d = 12

Answers

5d - 6 + 8 - 3d = 12

Combine like terms:

2d + 2 = 12

Subtract 2 from both sides

2d = 10

Divide both sides by 2

D = 5

Answer:

d = 5

Step-by-step explanation:

5d - 6 + 8 -3d = 12

Regroup

5d - 3d - 6 + 8 = 12

Combine like terms

2d + 2= 12

Subtract 2 from both sides

2d = 10

Divide both sides by 2

d = 5

Solve for b.
- 32 + 106 = -22

Answers

Answer:

-30+10b=-22

32-22=10b

10b=10

-32+10=-22

hope it helps

What is the solution to
3x*2-2x+4=0

Answers

Answer:

Step-by-step explanation:

[tex]3x^2 - 2x + 4 = 0[/tex]

a = 3, b = -2, c = 4

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{2 \pm \sqrt{2^2 - (4 \times3 \times 4} )}{2 \times 3}\\\\x = \frac{2 \pm \sqrt{4 - 48} }{6}\\\\x = \frac{2 \pm \sqrt{-44} }{6}\\\\x =\frac{2 \pm 2i \sqrt{11} }{6}\\\\x =\frac{1 + i \sqrt{11} }{3}\ , x =\frac{1 - i \sqrt{11} }{3}\\\\\\\\[/tex]


Create an example of a situation where there is a negative cash flow.?

Answers

Negative cash flow occurs when your business has more expenses than revenue in a set period of time. For example, if your lease, utilities, loan payments, cost of goods, and other costs total $10,000, but your income is only $9,000, then your business has negative cash flow.

Negative cash flow occurs when your business has more expenses than revenue in a set period of time. For example, if your lease, utilities, loan payments, cost of goods, and other costs total $10,000, but your income is only $9,000, then your business has negative cash flow. If your business has negative cash flow, you may need to pull capital from savings or obtain financing to meet business needs.

Mark brainliest please

Two photographers offer different pricing plans for their services. The graph below models the prices Photographer A charges. The table below shows the prices Photographer B charges. Each photographer charges a one-time equipment fee and an hourly rate. a. Which photographer charges the greater hourly rate? By how much? b. Which photographer charges the greater one-time fee? By how much? ​

Answers

Answer:

a. Photographer A by $10

b. Photographer B by $25

What are the coordinates for b?

Answers

Answer:

Step-by-step explanation:

(0,-3.5)

Answer:

(0, -3.5)

Step-by-step explanation:

The x coordinate is first

We stay on the y axis so the x coordinate is 0

The y coordinate is second

We go down 3 1/2 units so the y coordinate is -3 1/2

(0, -3.5)

The volume of a particular die is 12100 mm3. Use the fact that 10 mm equals 1 cm to convert this volume to cm3.

Answers

Answer:

10 kiloliter to liters, the result is 10000 liters

if i helped then please give brainliest and a thanks!

How do you solve for A in the following question?

Answers

Answer:

4x + 17 + x + 23 = 180 ( being straight line )

5x + 40 = 180

5x = 180 - 40

5x = 140

X = 140 / 5

X = 28 (answer)

A gardener has 840 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a
river and so it does not need any fencing.
river
garden
What dimensions would guarantee that the garden has the greatest possible area?
shorter side:
ft (feet)
longer side:
ft (feet)
ft2 (square feet)
greatest possible area:
Question Help: Message instructor
Submit Question

Answers

Answer:

Shorter side: 210

Longer side: 420

area: 88200

Step-by-step explanation:

work below

If you haven't learned derivatives yet just use the vertex formula

Which expressions are equivalent to p+p+p+p+p+p+p? Choose ALL that apply.

6p+2p
4p + 3p
Sp
3p + 5p
5p + 2p

Answers

Answer:

It would be 7p, 4p + 3p, and 5p + 2p

Step-by-step explanation:

Overall there is 7 p's

4 + 3 = 7 and 5 + 2 = 7

Unless there is more information, those are the answers.

Write an inequality representing the following phrase:
Three more than five times a number t is less than thirty.

Answers

Answer:

5t + 3 < 30

Step-by-step explanation:

Five times a number t is 5t.

Three more just means add 3 more to your first term (in this case it's 5t).

Less than thirty means not less than or equal to 30 but just less then 30.

Study the given values of the data and then choose the best suitable answers for all the questions.

10,10, 18, 24,28

Answers

Answer:

Mean = 18 and Mode = 10

Step-by-step explanation:

The given data is :

10,10, 18, 24,28

We can find the mean of the data,

[tex]Mean=\dfrac{\text{sum of observations}}{\text{total no of observations}}[/tex]

[tex]M=\dfrac{10+10+18+24+28}{5}\\\\=18[/tex]

Mode is the repetition of data.

Here, 10 repeats 2 times.

So, the mode is 10.

Can someone’s please help

Answers

Answer:

4.87 ft

Step-by-step explanation:

The height of the skylight =

The height of the blue △ - the height of the red △

Let b ft be the height of the blue △.

sin 60° = [tex]\frac{b}{25} [/tex]

b = 25 sin 60°

Let r ft be the height of the red △.

tan 40° = [tex] \frac{r}{20} [/tex]

r = 20 tan 40°

The height of the skylight

= 25 sin 60° - 20 tan 40°

= 4.87 ft (rounded to the nearest hundredth)

A rectangular metal tank with an open top is to hold cubic feet of liquid. What are the dimensions of the tank that require the least material to%E2%80%8B build?

Answers

Answer:

[tex]h = 3.5[/tex]

[tex]w = 7[/tex]

[tex]l = 7[/tex]

Step-by-step explanation:

Given

[tex]Volume = 171.5ft^3[/tex]

Required

The dimension that requires least material

The volume is:

[tex]Volume = lwh[/tex]

Where:

[tex]l \to length[/tex]

[tex]w \to width[/tex]

[tex]h \to height[/tex]

So, we have:

[tex]171.5 = lwh[/tex]

Make l the subject

[tex]l = \frac{171.5}{wh}[/tex]

The surface area (A) of an open-top rectangular tank is:

[tex]A = lw + 2lh + 2wh[/tex]

Substitute: [tex]l = \frac{171.5}{wh}[/tex]

[tex]A = \frac{171.5}{wh} * w + 2*\frac{171.5}{wh}*h + 2wh[/tex]

[tex]A = \frac{171.5}{h} + 2*\frac{171.5}{w} + 2wh[/tex]

[tex]A = \frac{171.5}{h} + \frac{343}{w} + 2wh[/tex]

Rewrite as:

[tex]A = 171.5h^{-1} + 343w^{-1} + 2wh[/tex]

Differentiate with respect to h and w

[tex]A_h = -171.5h^{-2} +2w[/tex]

[tex]A_w = -343w^{-2} +2h[/tex]

Equate both to 0

[tex]-171.5h^{-2} +2w=0[/tex]

Make w the subject

[tex]2w = 171.5h^{-2}[/tex]

Divide by 2

[tex]w = 85.75h^{-2}[/tex]

[tex]-343w^{-2} +2h = 0[/tex]

Make h the subject

[tex]2h = 343w^{-2}[/tex]

Divide by 2

[tex]h = 171.5w^{-2}[/tex]

[tex]h = \frac{171.5}{w^2}[/tex]

Substitute [tex]w = 85.75h^{-2}[/tex] in [tex]h = \frac{171.5}{w^2}[/tex]

[tex]h = \frac{171.5}{(85.75h^{-2})^2}[/tex]

[tex]h = \frac{171.5}{85.75^2*h^{-4}}[/tex]

[tex]h = \frac{2}{85.75*h^{-4}}[/tex]

Multiply both sides by [tex]h^{-4}[/tex]

[tex]h^{-4} * h = \frac{1}{85.75*h^{-4}} * h^{-4}[/tex]

[tex]h^{-3} = \frac{2}{85.75}[/tex]

Rewrite as:

[tex]\frac{1}{h^3} = \frac{2}{85.75}[/tex]

Inverse both sides

[tex]h^3 = 85.75/2[/tex]

[tex]h^3 = 42.875[/tex]

Take cube roots

[tex]h = 3.5[/tex] ---- height

Recall that: [tex]w = 85.75h^{-2}[/tex]

[tex]w = 85.75 * 3.5^{-2}[/tex]

[tex]w = 7[/tex] --- width

Recall that: [tex]l = \frac{171.5}{wh}[/tex]

[tex]l = \frac{171.5}{3.5 * 7}[/tex]

[tex]l = 7[/tex] --- length

You make a scale drawing of a banner for a school dance. You use a scale of 1 inch =3 feet. What is the actual width of the​ banner?
the width was 6 inches

Answers

1 inch = 3 feet
6 inch= 18 feet
1 x 6= 6
3 x 6 = 18
The width would be 18 feet.
Hope this helps

pls help for both 12 and 13!!

Answers

Answer:

The answer to 12 is 40 cubic units

Step-by-step explanation:

Which of these fractions are equivalent to -3/2

Answers

the first option 3/-2

Suppose that S and T are points on the number line.
If ST = 18 and S lies at -3, where could T be located?
If there are several locations, separate them with commas.

Answers

ST=18
S= -3
-3T=18
T=18/-3
T= -6
(-3,-6)=ST

I really don’t get this problem then it’s for a math class and I really don’t know what to do can somebody please help me

Answers

Answer:

Should be A

Step-by-step explanation:

The x cord increase by 5 for all points.

Y cord decrease by 3 for all points

Given the circle, find the arc measure.
Please help I’ll mark brainliest

Answers

Answer:

arc KLJ = 205°

Step-by-step explanation:

Recall: measure of arc equals measure of central angle

Therefore:

measure of arc LJ = 56°

measure of arc KL = 149°

arc LJ + arc KL = arc KLJ

Substitute

56° + 149° = arc KLJ

205 = arc KLJ

arc KLJ = 205°

Pythagorean theorem.

Answers

I hope this is help full to you

Answer:

3

Step-by-step explanation:

because this is the formula of Pythagorean theorem a^2 + b^2 = c^2 so all I did was 5^2 = 25 - 4^2 = 25-16 = 9 and square root of 9 = 3 i hope this helps. :D please give brainliest

fill in a base 6 multiplication table. and use the table and the standard algorithm to solve.

Answers

Answer:

See in bold

1 x 1 = 1

1 x 2 = 2

1 x 3 = 2

1 x 4 = 4

1 x 5 = 5

2 x 1  = 2

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

2 x 5 = 10

3 x 1 = 3

3 x 2 = 6

3 x 3 = 9

3 x 4 = 12     Total 70

3 x 5 = 15

4 x 1 = 4

4 x 2 = 8

4 x 3 = 12

4 x 4 = 16   total 125

4 x 5 = 20

5 x 1 = 5

5 x 2  = 10

5 x 3  = 15  total 175

5 x 4 = 20

5 x 5 = 25  total 220

Total = 220

Algorithm Finding 142  =  220  - 78  = 142

-78 = 6 x 13 therefore 142six = 13

Algarithm Finding X 230six = X diagonal

X diagonal list on table shows;

1 x 1 = 1

2 x2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

Total = 91

230/91 = 2.52747253  if diagonal algorithm

or 230 taken from the last 5 x 5 algorithm total = 220

1 x 6 = 6   220 + 6 = 226   x = 4+  then 1 x 6

2 x 6 = 12  = 18    220 + 18 = 38  x = 8 - then 2 x 6

as X230 = 8- 230 = 2 x 6

or X230 = 4+ 230 = 1 x 6  

From the sample space S=(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15) a single number is to be selected at random. Given event A, that the selected number is even, and event B, that the selected number is a multiple of 4, find P(AIB)​

Answers

Answer:

[tex]P(A|B) = 1[/tex]

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15\}[/tex]

[tex]A = \{2,4,6,8,10,12,14\}[/tex]

[tex]P(A) = 7/15[/tex]

[tex]B = \{4,8,12\}[/tex]

[tex]P(B) = 3/15[/tex]

Required

[tex]P(A|B)[/tex]

This is calculated as:

[tex]P(A|B) = \frac{P(A\ n\ B)}{P(B)}[/tex]

Where

[tex]A\ n\ B = \{4,8,12\}[/tex]

[tex]P(A\ n\ B) = 3/15[/tex]

So, we have:

[tex]P(A|B) = \frac{P(A\ n\ B)}{P(B)}[/tex]

[tex]P(A|B) = \frac{3/15}{3/15}[/tex]

[tex]P(A|B) = 1[/tex]

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