Rita reads 48 chapters of a book in 6 hours.
What is her rate in chapters per hour?

Answer:

[tex]y : \frac{1}{5} x + \frac{12}{5}[/tex]

Step-by-step explanation:

the slope of the line AC :

[tex]\frac{6-1}{1-2} = \frac{5}{-1} =-5[/tex]

Let y : mx + p be the equation of the line D passing through B and perpendicular to AC.

Where m is the slope and p is the y value of the y intercept point.

The line D is perpendicular to AC means the product of their slopes is −1

Therefore

(−5) × m = −1

Then

[tex]m=\frac{-1}{-5} =\frac{1}{5}[/tex]

We obtain, the equation of D is :

[tex]y : \frac{1}{5} x + p[/tex]

At this point ,we still need the value of p to get the full equation of D.

B(3, 3)∈ D

[tex]3=\frac{1}{5} \left( 3\right) +p[/tex]

[tex]\Longleftrightarrow p=3-\frac{3}{5} =\frac{12}{5} =2.4[/tex]

thus , the equation of D is :

[tex]y : \frac{1}{5} x + \frac{12}{5}[/tex]

Yes it's possible through matrix

Let's find out the area formula for our vertices

That's

[tex]\\ \rm\Rrightarrow \left|\begin{array}{ccc}\rm 2&\rm 1&\rm 1\\ \rm 3&\rm 3&\rm 1\\ \rm 1&\rm 6&\rm 1\end{array}\right|[/tex]

The determinant values modulus is the area

Slope of AC

Perpendicular lines have slopes negative reciprocal to each other

So

Equation in point slope

Answer:

It's 8 yuan per hour in company A and 9 yuan per hour in company B

Answer:

3(3z + 5)

Step-by-step explanation:

You have to factor out 3 from 9z+15 :)

Please mark brainliest

Answer:

Step-by-step explanation:

Remark

The sine of an angle involves the Hypotenuse. So the first job is to find that.

When you do Sin(H) = opposite / hypotenuse

Hypotenuse

Givens

a = √3

b = √13

c = ?

c is the hypotenuse.

Equation

c^2 = a^2 + b^2                  Substitute values

Solution

c^2 = (√3)^2 + (√13)^2

c^2 = 3 + 13                         Combine

c^2 = 16                               Take the Square Root of Both Sides

√c^2 = √16      

c = 4

Sin(H) = opposite / Hypotenuse

Opposite = √3

Hypotenuse = 4

Sin(H) = √3/4

Sin(H) = 1.7321/4

Sin(H) = 0.4330

Answer

Sin(H) = 0.43

Answer:

The answer is 3 or x<3.

The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot

Surface area of a box = 2(lh + wh + lw)

= 2(9×5 + 8×5 + 9×8)

= 2(45 + 40 + 72)

= 2(157)

= 314 square foot

Cost of wallpaper per square foot = $942 ÷ 314 square foot

= $3 per square foot

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The measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the interior angle of a polygon with 'n' number of sides is given by the formula,

The sum of the interior angle = (n-2)×180°

As it is known that a hexagon has 6 number of sides, therefore, the sum of the interior angles can be written as,

The sum of the interior angle of Hexagon = (6-2)×180° = 720°

Now, the measure of each interior angle = (720°/6) = 120°

Hence, the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.

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Answer:

I have attached a screenshot below with the answers written down!

Step-by-step explanation:

[tex]5*3=15[/tex]

[tex]15*3=45[/tex]

Next                                                                                                                        

[tex]20*\frac{1}{2}=10[/tex]

[tex]10*\frac{1}{2}=5[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope this helps!

Have a great day!

:)

Answer:

$ 15.00

Step-by-step explanation:

9.95  is JUST about 10

5.25 is close to 5

                      10 + 5 = 15

Answer:

415.63

Step-by-step explanation:

Multiply the price by the sales tax to find out how much money the sales tax will add.

Answer:

$415.63

Step-by-step explanation:

475

after 30%

475 times .30 = 142 5

475 - 142.5 = 332.5 <- sale price

332.5 times .25 = 83.125

332.5 + 83.125 = 415.625 <- new price

Answer:

7

Step-by-step explanation:

its a trick question !!

Answer:

This seems like a tricky question... i keep second guessing myself but here goes nothing....

7 servings

please read the explanation.... it always helps....

Step-by-step explanation:

Okay... so we know from the problem that each serving takes one full cup of sauce, and we also know that Grace has seven cups of sauce.... therefore we can conclude that she can make seven servings since 7/1 is 7.

Im not really sure why the question tells us that she uses a 1/3 scoop when we don't really need that when solving the question (which is why i am second guessing myself, but oh well)

i really hope this helps!!!

Answer:

x = 0.5

y = 1.5

Step-by-step explanation:

For futer reference, the easiest way to figure this out is by going to Desmos Graphing Calculator, entering both of the equations, and seing where the lines intersect. This helped me so much when I was learning this. Hope this helped!

Answer:

The solution of the system of equations is (x,y) = (1/2,3/2).

Step-by-step explanation:

Work Shown:

3050+6 = 3056

If you wanted the min height allowed, then you'd compute 3050-6

Note: 3050 mm = 10 feet approximately

Answer:

I think you just have to multiply 0.75 and 1.8 then divided with 1.62.

Step-by-step explanation:

0.75*1.8=a

1.62/a= answer?

Answer:

the answer in 1.2 i just took the unit test on K12

The most likely formats used in an observation checklist includes the video recording and audio recording.

This refers to the list of things that an observer is going to look at when observing a class or sample elements.

Most time, the checklists techniques are put in a sequenced way to observe and evaluates the samples from one point to another.

Therefore, the Option A is correct.

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Answer:

It's B

Step-by-step explanation:

Source: Trust me bro

Plus I just got done doing it

The radius of the given cylinder of volume 847π yds³ and height of 7 yards is 11 yards

From the question, we are to calculate the radius of the cylinder

The volume of a cylinder is given by the formula,

[tex]V = \pi r^{2}h[/tex]

Where V is the volume

r is the radius

and h is the height

From the given information,

V = 847π yds³

h = 7 yds

Putting the parameters into the equation, we get

[tex]847\pi = \pi r^{2} \times 7[/tex]

[tex]7r^{2} = 847[/tex]

[tex]r^{2} = \frac{847}{7}[/tex]

[tex]r^{2} = 121[/tex]

[tex]r =\sqrt{121}[/tex]

r = 11 yards

Hence, the radius of the given cylinder is 11 yards.

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Answer:

B, 6 miles per hour

Step-by-step explanation:

1. 4/3 of a mile in 4/18 of an hour, rewrite as (4/3 / 4/18)

2. Dividing fractions is multiplying by the reciprocal, so (4/3 * 18/4)

3. (4/3 * 18/4 = 72/12)

4. 72/12 can be simplified to 6/1 or 6.

5. Answer is B, 6 miles per hour

The correct answers: tan 120= -√3.

The correct answer is (E)

Angles are the angles between  bisecting lines or surfaces at or near their meeting point.

Given : [tex]\theta\\[/tex] = 2π/3

               = 2*180/3= 120

So, First and the fourth statement is not correct.

and, cos 120= -1/2

sin 120= √3/2

So, B and D statement is also wrong

tan 120= -√3.

Hence, the only correct statement is tan 120= -√3.

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Step-by-step explanation:

1)

SOLUTION

5(x+5) = 6. (6 +9)

90 = 5x + 25

13 = x

2)

SOLUTION

x (3) = (4) (6)

3x = 24

x= 8

3)

SOLUTION

3 (3 + x + 2) = (x+1)(x + 1 + x – 1) Use Theorem

3x + 15=2x²+2x

0 = 2x² – x – 15

0 = (x – 3) (2x + 5) Solve for x

3 = x Use positivesolution

Answer:

2 days

Step-by-step explanation:

Understanding :

Solving :

Answer:

9

Step-by-step explanation:

x= 430/46

x=9.35 approximately 9( nearest whole number)

Answer:

Jake

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The algebraic expression that can represent the product of W and 9 is 9W.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The phrase "the product of W and 9" in the form of an algebraic expression can be written as,

Expression = 9 × W = 9W

Hence, the algebraic expression that can represent the product of W and 9 is 9W.

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Answer:

1220

Step-by-step explanation:
This can easily be done as follows,
Take the first term of the series, (a = -10)
Take the last term of the series, (l = 50)
The numbers of terms is n = 50+10+1 = 61
Now,
For sum,
S= n/2 (a+l) =60/2 (50+-10) = 61/2 (50-10) = 61/2*40 = 1220

Answer:

Rs. 180

Step-by-step explanation:

This is a proportion problem.

We are told that 2 dolls cost Rs. 120

Thus;

Cost of 1 doll = 120/2 = Rs. 60 per doll

Then;

Cost of 3 dolls = Rs. 60 * 3 = Rs. 180

Answer:(approx) 6.

Step-by-step explanation:Here μ=51 and σ=15

Z=

σ

X−μ

​

=

15

X−151

​

When X=120, Z=

15

120−151

​

=−2.067

When X=155, Z=

15

155−151

​

=0.2667

When X=185, Z=

15

185−151

​

=

15

35

​

=2.2667

(i) P(120<X<155)=P(−2.07<Z<0.27)

=∫

−2.067

0.2667

​

ϕ(z)dz=∫

0

0.2667

​

ϕ(z)dz+∫

0

2.0667

​

ϕ(z)dz

=0.4803+0.1026=0.5829.

Here N=500

∴ The number of students whose weight is between 120 and 155 pounds is

0.5872×500=291

(ii) P(X<185)=P(Z>2.27)=∫

2.2667

∞

​

ϕ(z)dz

=∫

0

∞

​

ϕ(z)dz−∫

0

2.2667

​

ϕ(z)dz=0.5−0.4881=0.0119

∴ the number of students with weight about 185 pounds.

=0.0119×500= (approx) 6.