On Monday it rained for 3 hours and 20 minutes. The total rainfall amount in that time was 4 inches. What was the average rate of rainfall per hour?

Using location of points and a system of equations, it is found that:

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Point C is located between points B and D means that:

[tex]BD = BC + CD[/tex]

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We are given that:

From this, two equations can be built.

[tex]2x + 8y = 38[/tex]

Dividing both sides by 2:

[tex]x + 4y = 19[/tex]

[tex]x = 19 - 4y[/tex]

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Finding y:

[tex]BC + CD = BD[/tex]

[tex]5x + 7 + 3y + 4 = 38[/tex]

[tex]5x + 3y + 11 = 38[/tex]

[tex]5x + 3y = 27[/tex]

Since [tex]x = 19 - 4y[/tex]

[tex]5(19 - 4y) + 3y = 27[/tex]

[tex]95 - 20y + 3y = 27[/tex]

[tex]17y = 68[/tex]

[tex]y = \frac{68}{17}[/tex]

[tex]y = 4[/tex]

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Finding x:

[tex]x = 19 - 4y = 19 - 4(4) = 19 - 16 = 3[/tex]

The value of x is 3.

The value of y is 4.

A similar problem is given at https://brainly.com/question/10956693

Answer:

M.  2.5n - (-8.2) = 26. 7

to find n transpose

2.5n + 8.2 = 26. 7

2.5n = 26. 7 - 8.2

2.5n = 18.5

n = 18.5 ÷ 2.5

n = 7.4

L.  [tex]\frac{7a + 1}{2}[/tex] = 18

7a + 1 = 18 ×2

7a + 1 = 36

7a = 36 - 1

7a = 35

a = 35 ÷ 7

a = 5

N.     [tex]\frac{2}{5}[/tex] b + 1 = -11

[tex]\frac{2}{5}[/tex] b   = -11 -1

[tex]\frac{2}{5}[/tex] b   = -12

b = -12 - [tex]\frac{5}{2}[/tex]

b = 20

H.   5 - [tex]\frac{9}{2}[/tex] d = 32

- [tex]\frac{9}{2}[/tex] d = 32 - 5

- [tex]\frac{9}{2}[/tex] d = 27

d =  27 + [tex]\frac{2}{9}[/tex]

d = 6

Answer:

A constant you need to find when given what the equation is equal to.

Answer:

Here, 'd' is the variable of 2.

Answer:

-24

Step-by-step explanation:

2(3x-4)

6x-8

Answer:

x>-4 x≤-8

Step-by-step explanation:

Problem 5

Answer: Yes the points are coplanar

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Explanation:

Note how all four points are in the same plane, aka face, along the top of the 3D block. The term "coplanar" simply means "all in the same plane", so that's why the points are coplanar.

In contrast, the set of points {H,J,K,Z} are not all coplanar because H,J,K are in the top plane, while Z is not.

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Problem 6

Answer: line segments WX, XY, and XK

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Explanation:

All three lines mentioned above involve the letter X in some fashion. The order doesn't matter. Also, those lines intersect at the common point X.

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Problem 7

Answer: point W

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Explanation:

The plane WXYZ is the bottom face, in which we can think of as the floor of the building. The segment HW is from the floor and goes up vertically. We can consider this to be like a pole beam of the structure. The plane and segment both have point W in common. Note that the letter "W" is found in the sequences WXYZ and HW, and it's the only common letter.

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Problem 8

Answer: The points are not collinear

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Explanation:

To be collinear, the points must all be on the same straight line. We see that isn't the case with points W, X and Y.

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Problem 9

I'm not entirely sure what your teacher is asking here, so I would ask for a second opinion.

Answer:

48

Step-by-step explanation:

In this problem, you need to find out how many total legs 8 ants would have together. Each ant has 6 legs; this means that to solve you must add 6 together 8 times. However, there is an easier way to do this. You can also multiply 6 by 8 to get the same answer. The answer is 48.

Answer:

Step-by-step explanation:

the equatoin is 4x+77=497

and x is the hours spent

so solving it you subtract 77 from 497 which is 420 and 420/4 is equal to 105

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

109

7²=49               (7×7=49)

10×5=50

Therefore,

49+50+10= 109

Step-by-step explanation:

Quartile Formula:

Formula for Lower quartile (Q1) = N + 1 multiplied by (1) divided by (4)

Formula for Middle quartile (Q2) = N + 1 multiplied by (2) divided by (4)

Formula for Upper quartile (Q3) = N + 1 multiplied by (3) divided by (4)

Formula for Interquartile range = Q3 (upper quartile) – Q1 (lower quartile)

i don't know how to work it out but i gave you some information.

68/7

it the process

the total process is in above picture

Answer:

180  square feet

Step-by-step explanation:

Square footage is calculated by multiplying width by length. So if a room is 18 foot wide by 10 foot long, 18 x 10 = 180 square feet.

Answer:

AB = 18, CD = 16

Step-by-step explanation:

The 3 segments make the whole line , that is

AB + BC + CD = AD , substitute values

AB + 20 + (BD - BC) = 54

AB + 20 + (36 - 20) = 54

AB + 20 + 16 = 54

AB + 36 = 54 ( subtract 36 from both sides )

AB = 18

-----------------------------------------------------

BC + CD = BD , substitute values

20 + CD = 36 ( subtract 20 from both sides )

CD = 16

Answer:

Step-by-step explanation:

Answer:

answer by your own

Step-by-step explanation:lol

Answer:

D.

Step-by-step explanation:

The first step is to subtract 2 on both sides, so

3(y - 5) + 2 - 2 = 5 - 2

3(y - 5) = 3

Next, multiply by or distribute the 3 on the left side.

3y - 15 = 3

Then, add 15 on both sides.

3y - 15 + 15 = 3 + 15

3y = 18

Finally, divide by 3 on both sides.

3y/3 = 18/3

y = 6

Answer:

[tex](w ^{2})^{5} = {w}^{10} [/tex]

I hope I helped you^_^

Answer:

w raised to the power of 10

Step-by-step explanation:

When you have a power raised to a power, you multiply the exponents.

You can check by using a real number for the variable

(2²) raised to the power of 5

4 raised to the power of 5 = 4 x 4 x 4 x 4 x 4 = 1024

5x2 = 10

2 raised to the power of 10 = 1024

Answer:

53.931339977852% (you can round)

Step-by-step explanation:

You add up 48,700 and 41,600 and you would get 90,300 as the overall population. Then you would put it in fraction form if you want to convert it into a percentage. The fraction form would be 48,700/90,300. You could simplify it to 487/903. Then you do  487            x      . You would cross multiply and get

                                              ___    =    ___

                                              903           100

903x = 48700. Then you would divide each side by 903 and get x = 53.931339977852% (you can round)

Answer:

Approximately 53.9%

To be exact, answer is 48700/903

Step-by-step explanation:

Percentage of men = Men ➗ Total population

48700 + 41600 = 90300

48700/90300 is approximately 0.539

0.539 * 100 = 53.9

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

-64.

Step-by-step explanation:

f(x)=-x^2-4x-19            Replacing x by -9:-

f(-9)= -(-9)^2-4(-9)-19

= -81 + 36 - 19

= 36 - 100

= -64.

Answer:

-64

Step-by-step explanation:

f(x)=-x^2-4x-19

Let x = -9

f(-9) = - (-9)^2 -4(-9) -19

     = -81 +36 -19

     =-64

Answer:

a

Step-by-step explanation:

y=mx+c, where c is the y-intercept. hence,

y=mx-6

at the x-intercept, y=0 and x = -2

0 = m(-2)-6

2m = -6

m = -3

y = -3x-6

Answer:

a

Step-by-step explanation:

0 = m(-2)-6

M = -3

Y = -3x-6

Answer:

6.139km

Step-by-step explanation:

1000m = 1km

6139m = 6139/1000km = 6.139km

Answer:

6.139 km

Step-by-step explanation:

1 m = (1/1000) m

So, 6139 m

= (6139/1000) km

= 6.139 km

Answer:

27 pls mark me branilest

Answer:

27

Step-by-step explanation:

Hi there!

[tex]15+\sqrt{144}[/tex]

The square root of 144 is 12:

[tex]= 15+12[/tex]

[tex]= 27[/tex]

I hope this helps!

Answer:

x = 11.

Step-by-step explanation:

√(x - 2) + 8 = x

√(x - 2) = x - 8

Square both sides:

x - 2 = (x - 8)^2

x - 2 =  x^2 - 16x + 64

x^2 - 17x + 66 = 0

(x - 6)(x - 11) = 0

x = 6, 11.

With this type of question we could have extraneous roots so:

Check these 2 roots:

x = 6:

√(2 - 6) + 8 = √(-4)+8   <----- has no real value so this is not a root,

x = 11:

√(11-2) + 8 = 11    <  ----Checks out.

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

under real numbers we have natural numbers, whole numbers, integers rational numbers and irrational numbers

Answer:

20x-12y-5x²y+3xy²-x²+2xy+3y²

Step-by-step explanation:

(4-xy)(5x-3y)-(x+y)(x-3y)

20x-12y-5x²y+3xy²-(x+y)(x-3y)

20x-12y-5x²y+3xy²-x²+2xy+3y²

Step-by-step explanation:

All steps are in picture.

If you have any question about it you can ask.

Thanks

#a

[tex]\\ \sf\longmapsto a(2)=3a(1)=3(1)=3[/tex]

[tex]\\ \sf\longmapsto a(3)=3a(2)=3(3)=9[/tex]

[tex]\\ \sf\longmapsto a(4)=3a(3)=3(9)=27[/tex]

[tex]\\ \sf\longmapsto a(5)=3a(4)=3(27)=81[/tex]

#b

[tex]\\ \sf\longmapsto b(2)=-2+b(1)=-2+1=-1[/tex]

[tex]\\ \sf\longmapsto b(3)=-2+b(2)=-2-1=-3[/tex]

[tex]\\ \sf\longmapsto b(4)=-2+b(3)=-2-3=-5[/tex]

[tex]\\ \sf\longmapsto b(5)=-2-5=-7[/tex]