The amount of money on account it makes M for working H hours can be represented by the equation m = 29.4H what is the constant of proportionality of the equation

Answer:

0

Step-by-step explanation:

10x-9x=20-20

x=0

Answer:

(a) 43%

(b) 49%

Step-by-step explanation:

Add a total column and a total row to the table:

[tex]\begin{tabular}{| c | c | c | c |}\cline{1-4} & Playing video games & Watching TV & Total\\\cline{1-4} Girls & 45 & 108 & 153\\\cline{1-4} Boys & 84 & 63 & 147\\\cline{1-4} Total & 129 & 171 & 300\\\cline{1-4}\end{tabular}[/tex]

Percentage of students who prefer video games:

[tex]=\dfrac{\textsf{total no. of students who play video games}}{\textsf{total no. of students}} \times \sf 100\%[/tex]

[tex]=\sf \dfrac{129}{300} \times 100 \%[/tex]

[tex]= \sf 43 \%[/tex]

Percentage of students who are boys:

[tex]=\dfrac{\textsf{total no. of students who are boys}}{\textsf{total no. of students}} \times \sf 100\%[/tex]

[tex]=\sf \dfrac{147}{300} \times 100 \%[/tex]

[tex]= \sf 49 \%[/tex]

Answer:

total num playing video games/total no of studen×100

a) 43%

b) 49%

Answer:

C

Step-by-step explanation:

calculate the slope m of the 2 points from the origin and equate, since they lie on the same line

m = [tex]\frac{y_{2}-y_{1} }{x_{2-x_{1} } }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (2, k )

m = [tex]\frac{k-0}{2-0}[/tex] = [tex]\frac{k}{2}[/tex]

repeat with

(x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = k, 32 )

m = [tex]\frac{32-0}{k-0}[/tex] = [tex]\frac{32}{k}[/tex]

equating the 2 slopes

[tex]\frac{k}{2}[/tex] = [tex]\frac{32}{k}[/tex] ( cross- multiply )

k² = 64 ( take square root of both sides )

k = [tex]\sqrt{64}[/tex] = 8

Answer: 56 kids

Step-by-step explanation: 70 * 0.2 = 14      70 - 14 = 56

Last year we tested 70 kids on Unit 8 and this year we tested 20% less kids then we tested 56 kids on Unit 8 this year.

percentage, a relative value indicating hundredth parts of any quantity.

If we tested 20% less kids this year, it means we tested only 80% of the number of kids we tested last year.

To find out how many kids we tested this year, we can use the following equation:

number of kids tested this year = 0.8 × number of kids tested last year

Substituting the given values, we get:

number of kids tested this year = 0.8 × 70

number of kids tested this year = 56

Therefore, we tested 56 kids on Unit 8 this year.

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Answer:

(-4,-1) is the answer to this.

Answer:

[tex]\sqrt{54}[/tex] = 7.3484  , to the nearest 10th , then is  7.35

Step-by-step explanation:

Answer:

y = 1/3*x -3

Step-by-step explanation:

Method 1:

Grab two random points from the line.

(0,-3) and (3,-2)

Using the Point-Slope Form solve for m.

(-3 - (-2)) = m * (0 - (3))

-1 = m * (-3)

m = 1/3

Turning Point-Slope form into Slope intercept Form.

(y - (-3)) = 1/3 * (x - 0)

y + 3 = 1/3x

y = 1/3 - 3

Method 2:

Look at the y-intercept since y-int becomes our b. b = -3

From the y-int count rise/run as thats our Slope m. m = 1/3

Slope-intecept Form:

y = 1/3*x -3

Answer:

y=1/3x-3

rise/run= 1/3

y-int. is -3

Step-by-step explanation:

well, the shape is a trapezoid, a trapezoid has two parallel sides only, the parallel sides are called "bases", and the distance between the parallel sides is its "height".

so in the trapezoid above, it has two parallel sides, 20 m and 8 m, and the height or distance between both is 7 m, so

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=20\\ b=8\\ h=7 \end{cases}\implies \begin{array}{llll} A=\cfrac{7(20+8)}{2}\implies A=\cfrac{7(28)}{2} \\\\\\ A=7(14)\implies A=98~m^2 \end{array}[/tex]

The amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Henry has a box in the shape of a square pyramid.

He wants to wrap the box with paper.

If the base has side lengths of 5 in. and the lateral height is 8 in.

Then the amount of the wrapping paper that he needs to cover the pyramid will be

[tex]\rm Area = 4 \times \dfrac{1}{2} \times 5 \times 8 + 5 \times 5\\\\\\Area = 80 + 25\\\\\\Area = 105 \ in^2[/tex]

Thus, the amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.

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Answer:

[tex]\sf Sin \ \theta = \dfrac{5}{13}\\\\Cos \ \theta =\dfrac{12}{13}[/tex]

Step-by-step explanation:

            [tex]\sf =\dfrac{BC}{AB}\\\\ =\dfrac{5}{13}[/tex]

[tex]\sf Cos \ \theta = \dfrac{adjacent \ side \ of \ angle \ A}{hypotenuse}\\[/tex]

       [tex]\sf =\dfrac{AC}{AB}\\\\= \dfrac{12}{13}[/tex]

Answer:

152

Step-by-step explanation:

360-(118+54)

Answer:

90°

Step-by-step explanation:

Taking ΔVWX :

The age of Marissa and her younger brother.

We know that the older brother's age is 18 and he is twice older than the younger brother.

Let the unknown be "x"

[tex] x=\frac{18}{2} [/tex]

[tex]\large\boxed{\sf{x=9 \: years}}[/tex]

Now, we know that the younger brother's age is 9 and Marissa is 3 years older than him.

Let the unknown be "x"

[tex]x=9 + 3[/tex]

[tex]\large\boxed{\sf{x=12 \: years}}[/tex]

Therefore, Marissa is 12 and her younger brother is 9

Answer:

Marissa's age = 12

Younger brother's age = 9

Step-by-step explanation:

Let age of Marissa be x, and her younger brother's y.

Equations formed :

Finding age of younger brother using Equation 2 :

⇒ 2y = 18

⇒ 2y/2 = 18/2

⇒ y = 9 years old

Substituting y in Equation 1 :

⇒ x = y + 3

⇒ x = 9 + 3

⇒ x = 12 years old

Marissa's age = 12

Younger brother's age = 9

Answer:

[tex]distance = \sqrt{(3 - 3) {}^{2} } + ( - 2 - 0) {}^{2} \\ = \sqrt{0 + 4} \\ = \sqrt{4 } \\ = 2unit[/tex]

Answer:

x = -1

y = -3

Step-by-step explanation:

[tex]\begin{cases}2x+3=y+4\\ 2+y=3x+2\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}2x-y=1&\left( 1\right) \\ 3x-y=0&(2)\end{cases}[/tex]

(2) - (1) ⇒ (3x - y) - (2x - y) = 0 - 1 ⇒ x = -1

(1) ⇒ 2x - y = 1 ⇒ y = 2x - 1 = 2(-1) - 1 = -3

Answer:

m<S = 68 degrees.

m<D = 112 degrees

Step-by-step explanation:

Opposite angles of a parallelogram are equal so:

4x - 4 = 3x + 14      

4x - 3x = 14 + 4

x = 18.

So m < S = 4(18) - 4

= 72-4

= 68 degrees.

Angles on the same side of a parallelogram are supplementary, so

m < D = 180 - 68

= 112 degrees.

Answer:

1500 people.

Step-by-step explanation:

100% of the fans are not known,

So let the total number of fans or 100% of the fans be X

SINCE 10% ••••••••••• 150

100% ••••••••••••X

we're going to Cross multiply

= 10×X = 100 × 150

10X = 15000

dividing bothsides by 10

10X/10 = 15000/10

X = 1500 people.

[tex]\Large\textsf{\textbf{Answer\::}}[/tex]

-1, 260

[tex]\large\textsf{\textbf{Calculations\;:}}[/tex]

First , take a look at the signs of the numbers we're asked to multiply .

One of them is negative , and the other one is positive .

If we have a negative number times a positive number , the product is a positive number .

Multiply :

(-315) × 4

-1, 260 (Ans)

[tex]\footnotesize\text{hope\:helpful~}[/tex]

Answer:

1728 units cubed

Step-by-step explanation:

V = LWH
V = 12x16x9
V = 1728

The exercise has to do with the Graphing of a Cosecant Function. From the graph, the completed statements have been indicated below.

The completed statements are:

It is to be noted that the graph is of the function 2Sec (3x) – 1.

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Answer:

2pi/3

corresponding cosine function is 2.

1 unit down.

graph 2sec(3x) – 1

Step-by-step explanation:

Answer: 10x^2-8x+16

Step-by-step explanation:

Use the formula (b/2)^2

then plug in values:

(-8/2)^2 = -4^2 = 16

ans: 10x^2-8x+16

hope this helps

Answer:

h=6

Step-by-step explanation:

according to Pythagorean theorem

h²=p²+b²

p²= 10²-8²

h²=100-64 by question (p=h)

h√36

h=6

Answer:

(100,10)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

used graphing calculator

Answer:

26

Step-by-step explanation:

1.) Step plug it in ---}  4*2 + 7 (4) - 10

2.) Step multiply what u have so

4 x 2= 8

7 x 4 = 28

3. )Put it back ---}  8+ 28 - 10

4.) Solve from there.

8+28=36

36 - 10 =26

Answer: 57

Step-by-step explanation: First have to put x=4 and do multiplication in brackets then do subtraction and add at the end to get final answern action pien r

Answer:

d=-21

Step-by-step explanation:

Answer:

Step-by-step explanation:

Functions like these are found on cords. they can be straight (Linear function) or they can bend ore curve (non-linear function).

That's all I have to say.

The surface area of the cone is the amount of space on it, the radius of the cone is about 13 feet

The given parameters are:

The surface area is calculated using:

[tex]A =\pi r(r + \sqrt{h^2 + r^2})[/tex]

So, we have:

[tex]A =\pi r(r + \sqrt{(3r)^2 + r^2})[/tex]

Substitute 2167 for A

[tex]2167 =\pi r(r + \sqrt{(3r)^2 + r^2})[/tex]

Evaluate the sum

[tex]2167 =\pi r(r + \sqrt{10r^2})[/tex]

Divide both sides by [tex]\pi[/tex]

[tex]689.78 =r(r + \sqrt{10r^2})[/tex]

Evaluate the exponent

[tex]689.78 =r(r + 3.16r)[/tex]

Evaluate the sum

689.78 =r(4.16r)

Open the bracket

689.78 = 4.16r²

Divide both sides by 4.15

r² =165.8125

Take the square root of both sides

r = 13 (approximated)

Hence, the radius of the cone is about 13 feet

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The slope as evaluated from the given pair of points is; Slope, m = 5.

Slope of given Points

The slope of a line defined by two points simply refers to the rate of change of the function given by the line.

Hence, slope, m = (28 -18)/(4 -2)

Slope, m = 10/2

Slope, m = 5

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#1

Slope

#2

Slope

#3

Slope

#4

Slope

CODE IS

Answer:

59 degrees

Step-by-step explanation:

Inscibed angles in a circle encompass TWICE their value of arc degrees

2x = 118

x = 59 degrees