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Dimas [21]
1 year ago
9

Find the lengths of nails with the following penny sizes: 3, 6, and 10. The 3-penny nail is inches. the 6 penny is__ the 3 penny

is __ the ten penny is ___
Mathematics
1 answer:
stealth61 [152]1 year ago
6 0

the lengths of nails with the following penny sizes: 3, 6, and 10

  • A 3-penny nail is_5/4_inches.
  • A 6-penny nail is_2_inches.
  • A 10-penny nail is_3_inches.

This is further explained below.

<h3>What is the lengths of nails with the following penny sizes: 3, 6, and 10?</h3>

That is the equation solved for n.

The penny size is d, and n is the length of the nail, then:

if d = 3, we have:

n = (3 + 2)/4 = 5/4

if d = 6, then

n = (6 + 2)/4 = 2

if d = 10, then:

n = (10 + 2)/4 = 3

Thus:

A 3-penny nail is_5/4_inches.

A 6-penny nail is_2_inches.

A 10-penny nail is_3_inches.

if you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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9. Plot the points A (-2,3), B(2,-3), C(2,3) ,D(-2,3) join the points and find the distance between each point.
pav-90 [236]

Answer:

AB=7.21 unit

BC=6 unit

CD=7.21 unit

AD= 6 unit

AC=4 unit

BD=4 unit

Step-by-step explanation:

Coordinates of A =(-2,3)

Coordinates of B = (2,-3)

Coordinates of C = (2,3)

Coordinates of D =(-2,-3)

Distance formula :d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

A=(x_1,y_1)=(-2,3)\\B=(x_2,y_2)=(2,-3)\\AB = \sqrt{(2+2)^2+(-3-3)^2}

AB=7.21 unit

B=(x_1,y_1)=(2,-3)\\C=(x_2,y_2)=(2,3)\\BC=\sqrt{(2-2)^2+(3+3)^2}

BC=6

C=(x_1,y_1)=(2,3)\\D=(x_2,y_2)=(-2,-3)\\CD=\sqrt{(-2-2)^2+(-3-3)^2}

CD=7.21

A=(x_1,y_1)=(-2,3)\\D=(x_2,y_2)=(-2,-3)\\AD=\sqrt{(-2+2)^2+(-3-3)^2}

AD=6

A=(x_1,y_1)=(-2,3)\\C=(x_2,y_2)=(2,3)

AC=\sqrt{(2+2)^2+(3-3)^2}

AC=4

B=(x_1,y_1)=(2,-3)\\D=(x_2,y_2)=(-2,-3)

BD=\sqrt{(-2-2)^2+(-3+3)^2}

BD=4

4 0
3 years ago
The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 7 feet, represented by a ve
xenn [34]

First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.

If we need the vertex to be at x=4, the equation will contain a (x-4)^2 term.

If we start with y=-(x-4)^2 we have a parabola, concave down, with vertex at x=4 and a maximum of 0.

So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be (4, 7)

We have

y = -(x-4)+7

Now we only have to fix the fact that this parabola doesn't land at (8,0), because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want

y = a(x-4)^2+7

such that:

  • a
  • when we plug x=8, we have y=0

Plugging these values gets us

0 = a(8-4)^2+7 \iff 16a+7=0 \iff a = -\dfrac{7}{16}

As you can see in the attached figure, the parabola we get satisfies all the requests.

3 0
3 years ago
After working for 25 hours lammer made $375 after working 40 hours lammer made $600 predict how much will he make after 10 hours
Alex
25hr. 40h. 10hr

375$ 600$ x

25 . 40 . x = 1000
375 . 600 = 225000
225000÷1000
x = 225
3 0
3 years ago
A group of friends chartered a deep-sea fishing boat out of destin, fl. the graph below represents the total cost, in dollars, o
Elenna [48]

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

From the graph:

The cost for a group of 16 friends is $2500, while for a group of 10 friends is $1300.

Cost per passenger for 16 friend = $2500 / 16 = $156.25

Cost per passenger for 10 friend = $1300 / 10 = $130

The difference in price = $156.25 - $130 = $26.25

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25

Find out more on equation at: brainly.com/question/2972832

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3 0
2 years ago
The medication tablets contain 3.5 grains each. The physician's orders state that the patient is to receive 14 grains of medicat
Lubov Fominskaja [6]
14 / 3.5 = 4.....4 tablets should be administered
7 0
3 years ago
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