The table shows the favourite type of film for 20 people

10 × 47 = 470

(a) 470 – 326 = 144

453 – 144 = 309

309 The number of blue pens Uncle Ron had left was

309 + 471 = 780

(b)

780 ÷ 15 = 52

Thus , 52 blue pens were in each box.

Step-by-step explanation:

Answer:

3. (3,-4)

Step-by-step explanation:

Answer:Nicholas has 34 red peppers.

Answer:

75,15

Step-by-step explanation:

[tex] \sin(90 - x) = \cos(x) [/tex]

[tex] \sin(90 - (3x + 3) = \cos(x + 71) [/tex]

[tex]90 - 3x - 3 = x + 71[/tex]

[tex]87 =4 x + 71[/tex]

[tex]16 = 4x[/tex]

[tex]x = 4[/tex]

Plug in 4 for x and one of the angles we get are 75 and the other would be 15.

Answer:

X=3

Step-by-step explanation:

Answer:

answer is x = 3

Step-by-step explanation:

x + 2 = 5 , x = 5 - 2

x = 3

Answer:

88 cm

Step-by-step explanation:

to find the circumference of a circle you can use the equation

d(pi)

d being diameter and pi in this case being 22/7

so you can directly multiply 28 and 22/7

28/1 * 22/7

you can cross cancel 28 and 7 making them 4 and 1 respectively

then you have 4/1 * 22/1

that is also 4 * 22

that is 88

Answer:

−x5 + 7x4 + 8x2 − 9x − 5

Step-by-step explanation:

I do not have one so sorry :/

Answer: 1500

Step-by-step explanation:

180° x (12-2) = 180° x 10

= 1800°

(got 12 because a regular dodecagon has 12 congruent sides.)

1800°/ 12 =150

150° x 10= 1500°

Answer:

=25

Step-by-step explanation    

:[tex]\sqrt{x}[/tex] 300 with 12 and you simply get 25

The function that represents the balance after t years is FV = $300( 4)^4t. The balance of the account after four years is; $914.92.

The formula for calculating future value:

FV = P (1 + r)^nm

Where: FV = Future value

P = Present value

R = interest rate = 12%/4 = 3%

m = number of compounding = 4

N = number of years

Thus FV = $300( 1+ 3)^4t

FV = $300( 4)^4t

Then the account balance after 4 years;

$300( 4)^(4 x 4)

= $914.92

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Answer:

The answer is 245

Step-by-step explanation:

you save 105$ but the total price will come out to 245$ 350 × 30/100

= 350 x 0.3

Answer:

b.245

Step-by-step explanation: [tex]350\times\left(1-30\right)[/tex]

Calculate

[tex]350\times\left(1-0.3\right)[/tex]

Calculate the sum or difference

[tex]350\times0.7[/tex]

Calculate the product or quotient

[tex]245\ YOUR\ ANSWER\ which\ can\ also\ be\ wrote\ out\ like\ 2.45\times{10}^2[/tex]

I hope this helps you

:)

The linear equations which can be used to find the number of quarters, q, and the number of dimes, d will be  [tex]q+d=33[/tex]    &     [tex]0.25q+0.1d=6[/tex]

It is given that

Martin has a combination of 33 quarters and dimes worth a total of $6.

Here

q = number of quarters

d = number of dimes

The linear equation can be represented as

[tex]0.1\ dollars =1 \ dime[/tex]

[tex]0.25\ dollars = \ 1 \ quarters[/tex]

now the equation will be

[tex]0.25q+0.1d=6[/tex]

The quarters and dimes in total 33. Therefore,

[tex]q+d=33[/tex]

Therefore, the combined equation will be as follows:

[tex]q+d=33[/tex]

[tex]0.25q+0.1d=6[/tex]

Thus linear equations  will be [tex]q+d=33[/tex]   &     [tex]0.25q+0.1d=6[/tex]

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Answer:

See Explanation

Step-by-step explanation:

[tex]A+B= 45 \degree \\ \\ assuming \: \tan \: on \: both \: sides \\ \\\implies \: \tan( A+B)= \tan 45 \degree \\ \\ \implies \: \tan( A+B)= 1 \: \: \\ ( \because \: \tan 45 \degree = 1) \\ \\ \implies \: \frac{\tan \: A +\tan \: B }{1 - \tan \: A .\tan \: B } = 1 \\ \\ \implies \: \tan \: A +\tan \: B = 1 - \tan \: A .\tan \: B \\ \\ \purple{ \implies }\: \orange{ \bold{\tan \: A +\tan \: B + \tan \: A .\tan \: B= 1 }} \\ \\ thus \: proved[/tex]

Answer:

The value of x from the figure is 58 degrees

To get the value of x, we will use the formula:

The angle at the vertex = 1/2(difference of angles at the arc)

Angle at the vertex = 1/2(160 - x)

51 = 1/2(160 - x)

102 = 160 - x

x = 160 - 102

x = 58 degrees

Hence the value of x from the figure is 58 degrees

Answer:

biased

Step-by-step explanation:

i took the test and I got it right

Answer:

h = 4 cm

Step-by-step explanation:

The formula for volume of a cylinder is

V = πr²h      where V is the volume, r is the radius, and h is the height.

We are given V = 64π, and r = 4, plug those in and solve for h

64π = π(4²)h

64π = 16πh

(64π)/(16π) = (16πh)/(16π)      (divide both sides by 16π)

4 = (16π)/(16π)h

 4 = h

Here, we are provided a right circular cylinder with :

We know that :

[tex] \quad\hookrightarrow\quad{\pmb{ \mathfrak { Volume = \pi r^2 h }}}[/tex]

Therefore,

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

[tex] \implies\quad \sf{64\pi = \pi r^2 \times 4 }[/tex]

[tex] \implies\quad \sf{ \pi r^2 \times 4 = 64\pi}[/tex]

[tex] \implies\quad \sf{r^2 =\dfrac{64\pi}{\pi \times 4} }[/tex]

[tex] \implies\quad \sf{ r^2 =\dfrac{\cancel{64}}{\cancel{4}}\times \cancel{\dfrac{\pi}{\pi}}}[/tex]

[tex] \implies\quad \sf{ r^2 = 16}[/tex]

[tex] \implies\quad \sf{r=\sqrt{16} }[/tex]

[tex] \implies\quad \underline{\underline{\pmb{\sf{r= 4}}} }[/tex]

The number in question is equal to 2 times the temperature in degrees Celsius.

Since Alisha is working on a project about temperature conversion in her science class, and the formula for converting degrees Celsius to degrees Fahrenheit is F=C+32, to solve FC + 32 the following equation must be performed:

Therefore, the number in question is equal to 2 times the temperature in degrees Celsius.

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Answer:

it is 42 pounds of beans that Malcolm has

Answer:

162 cents

Step-by-step explanation:

to find the rate you want take the inches which is 21 and divide by the cost which is 63 and find the rate is 3 which means each inch costs 3 cents and so with that rate you can find the cost of 54 inchest of wire so you take your 54 inches and multiply it by 3 which is the cents per inch and find that 54 inches of wire would cost you 162 cents

Answer:

y=3x-7

Step-by-step explanation:

To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3

Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.

y=3x+b

2=3*(3)+b

2=9+b

-7=b So now we know the y-intercept and slope. We just put them together now

y=3x-7

Hope this helps!

Since this is a right triangle, we can use the Pythagorean Theorem to help us.

 [tex](length-of-leg1)^2+(length-of-leg2)^2 = (length-of-hypotenuse)^2\\[/tex]

Known information:

Now let's plug the known information into the equation:

 [tex]7^2 + (length-of-leg2)^2=25^2\\(length-of-leg2)^2 = 25^2-7^2\\\\(length-of-leg2)^2 = 576\\\\length-of-leg2=24[/tex]

Thus the length of the other leg is 24cm.

Hope it helps!

Answer:

101.46

Step-by-step explanation:

Area= Lenght x With

Soo you would do 11.4 x 8.9 and get 101.46cm!

The area of the parallelogram with a height of 7.1 cm will be 80.94 square cm.

Let H be the height and W be the width of the parallelogram. Then the area of the parallelogram will be given as,

Area of the parallelogram = H × W square units

From the graph, the width of the base of the parallelogram is 11.4 cm. And the height of the parallelogram is 7.1 cm.

The area of the parallelogram is given as,

A = 11.4 x 7.1

A = 80.94 square cm

The area of the parallelogram with a height of 7.1 cm will be 80.94 square cm.

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Answer:

125

Step-by-step explanation:

a⅔=25

2/3root each you get root 2/3of 25

Answer:

See below.

Step-by-step explanation:

0.2, 1/2, 2%

Convert the other two to decimals to make our lives temporarily easier.

1/2 = 0.5

2% = 0.02

0.2, 0.5, 0.02

The greater term is 0.5, or 1/2.

-hope it helps

Answer:

1/2

Step-by-step explanation:

0.2 = 0.2

1/2 = 0.5

2% = 2/100 = 0.02

From smallest to biggest:

2%, 0.2, 1/2

Answer: The biggest one is 1/2

Answer:

Wheres the image??:)))

Step-by-step explanation:

pathos=a quality that evokes pity or sadness

logos= Logos, or the appeal to logic, means to appeal to the audiences' sense of reason or logic.

ethos= ethos  means "custom" or "character" in Greek. As originally used by Aristotle, it referred to a man's character or personality, especially in its balance between passion and caution.

Answer:

4x + 1

Step-by-step explanation:

24x² - 30x - 9 ( factor out 3 from each term )

= 3(8x² - 10x - 3) ← factor the quadratic

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 8 × - 3 = - 24 and sum = - 10

the factors are + 2 and - 12

use these factors to split the x- term

8x² + 2x - 12x - 3 ( factor the first/second and third/fourth terms )

= 2x(4x + 1) - 3(4x + 1) ← factor out (4x + 1) from each term

= (4x + 1)(2x - 3)

then

24x² - 30x - 9 = 3(4x + 1)(2x - 3) ← in factored form

so (4x + 1) is a factor of the expression

Step-by-step explanation:

[tex] \sqrt{a {}^{2} } + 24 - 4 = a [/tex]

Answer:

54,992.70$

Step-by-step explanation:

93.50 x 21 = 1963.5

31.20 x 21 = 655.2

1963.5 + 655.2 = 2618.7

2618.7 x 12 = 54,992.70$

See the analysis

[tex]Petermine\ the\ opposite\ side\\ to\ the\ angle\ and\ the\ adjacent\\ Side[/tex]

[tex]tan\propto=\frac{opposite}{adjacent}[/tex]

Answer: see the analysis.

[tex]Solution:\\ The\ sine\ of\ an\ angle\ is\ the\ ratio\ of\ Opposite\ to\ Hypotenuse.\\ So,\ we\ can\ use\ the\ formula\ \sin{\theta}=\frac{Opposite}{Hypotenuse}to\ calculate\ the\ sine\ of\\ an\ angle\ in\ a\ right\ triangle.[/tex]

Ans No Change

[tex]Ans\ No\ change\\ After\ changing\ A\ to\ B\ no\ change\ will\\ be\ there[/tex]

the ansurer is

cose C = Base/Hypitenuse = BC/AC

[tex]Solution:\\ cosine\ of\ angle\ is\ the\\ Natis\ of\ base\ to\ the\\ lypotenuse\ of\ the\ friangle\\ cos\ C=\frac{BC}{AC}[/tex]

I hope this helps you!

:)