Write the ratio in simplest form.

8 min : 12 min

Answer:

A. 1/2(14)(10)(8) – π(2.5^2)(8)

Step-by-step explanation:

I took the test and this was the correct answer. Hope this helped!

Answer:

(0.5)(14)(10)(8) – π(2.5²)(8)

Step-by-step explanation:

The rest of the question is the attached figure.

The volume of the shaded region = volume of the prism - volume of the cylinder

The volume of the prism = The area of triangle * height

                                         = 0.5 * 10 * 14 * 8

The volume of the cylinder = The area of the circle * height

                                             = π r² h

                                             = π (5/2)² * 8 = π * 2.5² * 8

So, The volume of the shaded region = (0.5)(14)(10)(8) – π(2.5²)(8)

The answer to this problem is simple 134

Cakes = x

Cupcakes = y

On Saturday, 6x + y = $165

We are told x = 12, so 6(12) + 3y = 165

72 + 3y = 165

Subtract the entire equation by 72:

3y = 93

Divide by 3 to simplify:

y = 31 cupcakes sold

Answer:334

Step-by-step explanation:

11+15=26-360

Answer:

2.78 days 66.67 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the area of a circle is pi*r^2, meaning pi times the radius squared. Since we know that the diameter is 14 centimeters, we know that the radius is half of that. The radius is 7. Now, we have to square 7. 7^2=49. So the answer is 49*pi, or approximately 153.93804

Answer:

Step-by-step explanation:

98÷14

=7

686÷98

=7

4 802÷686

=7

33 614÷4 802

=7

Then the common ratio q for this sequence is 7

recursive formula : an+1 = q×an = ?

an= a1 × qⁿ⁻¹

   =2×7ⁿ⁻¹

an+1 = q×an

        = 7×(2×7ⁿ⁻¹)

       = 2×7ⁿ

Answer: The formular for this sequence is AR^n-1 (that is, A multiplied by R{raised to the power of n minus 1} )

Step-by-step explanation:This is a geometric progression in which every term is calculated by multiplying each previous term by a common ratio.

The common ratio here is 7, which is derived as

14/2, or 98/14, or 686/98, or 4802/686...

In simply put, R is derived as Tn/Tn-1, where Tn is the nth term and Tn-1 is the previous term.

Therefore the formular for this progression is given as

AR^n-1

Where A = 2, R = 7 and n = the nth term.

After combining like terms, the expression simplifies to 58.25n + 30p - 2, which does not match any of the provided answer choices, indicating an error in the options given.

To simplify the expression 1 + 4.25n + 32p

dash; 3 + (

minus;
2p) + 54n, we combine like terms. Let's first combine the constant terms (1 and -3), the 'n' terms (4.25n and 54n), and the 'p' terms (32p and -2p).

First, we handle the constants: 1 - 3 = -2

Now, combine the 'n' terms: 4.25n + 54n = 58.25n

Then, combine the 'p' terms: 32p - 2p = 30p

The simplified expression is 58.25n + 30p - 2, which matches none of the given options (A, B, C, D). There appears to be an error since the proper simplification does not align with the options provided.

In the given case, the correct answer is B. 9.5n + 1.5p - 2 which is the simplified expression.

The correct distribution should be:

[tex]\(1.5 \times 39n = 58.5n\) (which is correct)[/tex]

[tex]\(1.5 \times 20p = 30p\) (which is correct)[/tex]

 So the correct simplified expression is:

58.5n + 30p - 2

 Now, let's convert the decimals to fractions to match the format of the options provided:

[tex]\(58.5n = 58\frac{1}{2}n = 58n + \frac{1}{2}n = 58n + 0.5n\)[/tex]

30p = 30p

 So the expression becomes:

58n + 0.5n + 30p - 2

Therefore, the final simplified expression is:

9.5n + 30p - 2

However, we must correct the coefficient of p to match the format of the options. Since 30p  is actually [tex]\(1.5 \times 20p\)[/tex] , we should have:

1.5p = 30p

 Thus, the correct final simplified expression is:

9.5n + 1.5p - 2

Answer:

I'll write it below

Step-by-step explanation:

Q1 a side that has 10 sides and 10 angles is called decagon.

Q2 it is nonagon

Q3 it is Pentagon

Q4it is heptagon

1. A decagon has 10 sides and 10 angles

2. A nonagon has 9 sides and 9 angles

3. A pentagon has 5 sides and 5 angles

4. A heptagon has 7 sides and 7 angles

These are terms you'll have to memorize.

Answer:

27

Step-by-step explanation:

Substitute n = - 2 into the expression

n² - 8n + 7

= (- 2)² - 8(- 2) + 7 = 4 + 16 + 7 = 27

Answer:

Step-by-step explanation:

Subtraction because there is a minus sign

Answer:

Subtraction

Step-by-step explanation:

- this sign means to take away or in other words subtract.

Answer:

The area of the irregular figure is  366 cm sq.

Step-by-step explanation:

This irregular figure is made of 1 Rectangle +  1 right Triangle

Area of the Rectangle:

Length of the rectangle = 21 cm,

Width of the rectangle  = 14 cm

AREA of Rectangle =  LENGTH x WIDTH

          =  21 cm x 14 cm =  294 sq cm

⇒Area of the Rectangle  =   294 sq cm   ..... (1)

Area of the Right Triangle:

Base of the rectangle = 16 cm,

Height of the rectangle  = 21 cm -  12 cm = 9 cm

AREA of Right Triangle =  [tex]\frac{1}{2} \times B \times H[/tex]

          [tex]= \frac{1}{2} \times 16 \times 9 = 72[/tex]

⇒Area of the Right Triangle   =   72 sq cm   ..... (2)

Now, area of the irregular figure  = Area of the( Rectangle  +Right Triangle)

= 294 sq cm + 72 sq cm = 366 cm sq

Hence, the area of the irregular figure is  366 cm sq.

Answer:

366 sq. ft

Step-by-step explanation:

First, we have to find the area of the triangle. To do this we have to find the height of the triangle which can be done by subtracting 12 from 21 to get 9. Then we multiply 16 by 9 to get 144 and divide it by 2 to get 72. Now we must find the area of the rectangle. To do this we have to multiply 14 and 21 to get 294. Now we have to add the values together to get 366.

Answer:

joshua has 3 more cookies than dareonte

Answer:

C

y - y1 = m (x - x1)

(y - y1) / m = x - x1

x = (y - y1) / m + x1

Answer:

No solution

Step-by-step explanation:

We need to isolate x.

Start by performing the indicated multiplication:

3x - 1.5 = 3 + 3x

This has no solution, since 3x = 3x for any x value and -1.5 never equals 3.

Answer:

Step-by-step explanation:

[tex]y=4x-4\\\\\text{Substitute the coordinates of each points to the equation}\\\text{and check the equality.}\\\\1.\ (0,\ 4)\to x=0,\ y=4\\\\4=4(0)-4\\4=0-4\\4=-4\qquad\bold{FALSE}\\\\2.\ (0,\ -4)\to x=0,\ y=-4\\\\-4=4(0)-4\\-4=0-4\\-4=-4\qquad\bold{TRUE}\\\\3.\ (-4,\ 0)\to x=-4,\ y=0\\\\0=4(-4)-4\\0=-16-4\\0=-20\qquad\bold{FALSE}\\\\4.\ (4,\ 0)\to x=4,\ y=0\\\\0=4(4)-4\\0=16-4\\0=12\qquad\bold{FALSE}[/tex]

Answer:

6 could fit in the 18 pound box cause if you multiply 6 by 3 you get 18 and the wieght be 18

Step-by-step explanation:

Answer:

2 kilos  and costing  $22

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 9/11 - 1 7/10

= (1-1) + (9/11 - 7/10)

= 9/11 - 7/10

= (9×10)/110 - (7×11)/110

= (90-77)/110

= 13/110

Answer:

Step-by-step explanation:

Mary is 1 9/11feet = 20/11feet

Anne is 1 7/10feet = 17/10

Mary is tall than Anne with

= 20/11 - 17/10

The LCM is 110

= (200 - 187)/110

= 13/110

= 13/110feet

Answer:

The third side is

B. [tex]2x[/tex]

Step-by-step explanation:

Given:

Perimeter of triangle = [tex]10x+12y[/tex]

Two sides of the triangle are :

1) [tex]4x+14y[/tex]

2) [tex]4x-2y[/tex]

To find the third side.

Solution:

Let the third side be = [tex]z[/tex]

The perimeter can be given as sum of all 3 sides :

[tex]4x+14y+4x-2y+z[/tex]

Combining like terms.

[tex]4x+4x+14y-2y+z[/tex]

[tex]8x+12y+z[/tex]

The perimeter given = [tex]10x+12y[/tex]

So, we have:

[tex]8x+12y+z=10x+12y[/tex]

Solving for [tex]z[/tex]

Subtracting both sides by [tex]8x[/tex]

[tex]8x-8x+12y+z=10x-8x+12y[/tex]

[tex]12y+z=2x+12y[/tex]

Subtracting both sides by [tex]12y[/tex]

[tex]12y-12y+z=2x+12y-12y[/tex]

∴ [tex]z=2x[/tex]

Thus, the third side is = [tex]2x[/tex]

Answer:

By inspection you need 2 numbers that multiply together to -18 and sum to -3. These numbers are -6 and 3. Therefore we have:

x2−3x−18=(x−6)(x+3)

Answer:

2^2*7^7

Step-by-step explanation:

The expression 2 · 2 · 7 · 7 · 7 · 7 · 7 · 7 · 7 can be written as 2^2 · 7^7 in exponential form.

The expression 2 · 2 · 7 · 7 · 7 · 7 · 7 · 7 · 7 can be written in exponential form as 22 · 77. In exponential form, the base number is written followed by a superscript that represents how many times the base is multiplied by itself. In this case, the base numbers 2 and 7 are multiplied by themselves 2 and 7 times, respectively.

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Answer:

y = -2x + 13

Step-by-step explanation:

for equation of a line

(x - x1)/(x2 - x1) = (y - y1)/(y2 - y1)

(x - 5)/(4 - 5) = (y - 3)/(5 - 3)

cross multiplying

2(x - 5) = -1(y - 3)

2x - 10 = -y + 3

y = -2x + 13

Answer:

0.3e+518

Step-by-step explanation:

0.3(e+60)+1500/3

0.3e+18+500

0.3e+518

Shakira played 3 full games because rounding off to 4 would increase the total.

Step-by-step explanation:

Given,

Rent of shoes = $3

Amount paid for each game = $4.75

Total paid by Shakira = $21

Let,

x be the number of games played by Shakira.

Amount paid for each game * Number of games + Rent of shoes = Total paid

[tex]4.75x+3=21\\4.75x=21-3\\4.75x=18[/tex]

Dividing both sides by 4.75

[tex]\frac{4.75x}{4.75}=\frac{18}{4.75}\\x=3.8[/tex]

Therefore,

Shakira played 3 full games because rounding off to 4 would increase the total.

Keywords: algebraic equation, division

Learn more about division at:

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the answers

10: 6(3+9) = 6(12) = 72

11: 8(8+5) = 8(13) = 104

12: (10+9)3 = (19)3 = 57

13: (12+7)5 = (19)5 = 95

14: 9(12-3) = 9(9) = 81

15: 3(15-5) = 3(10) = 30

16: -4(8-5) = -4(3) = -12

17: -7(16-8) = -7(8) = -56

18: 14(20-4) = 14(16) = 224

Answer:

The answer is X^2=36

The equivalent equations of [tex]log_x36 = 2[/tex] are 36 = x² and x =  6.

The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

Given:

Equation [tex]log_x36 = 2[/tex]

We know the logarithmic function:

[tex]log_bx = a[/tex]

Then,

x = bᵃ

[tex]log_x36 = 2[/tex]

36 = x²

x =  6

Therefore, 36 = x² and x =  6 are the equivalent expressions.

To learn more about the logarithms;

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44.9 megabytes of download is complete

Solution:

Given that,

File that is 274 megabytes is being downloaded if the download

Therefore, total megabytes of file = 274 megabytes

The download is 16.4% complete

To find: Megabytes that has been downloaded

So, we can say, 16.4 % of total megabytes of file is downloaded

Megabytes that has been downloaded = 16.4 % of total megabytes of file

Megabytes that has been downloaded = 16.4 % of 274

[tex]\rightarrow 16.4 \% \text{ of } 274\\\\\rightarrow 16.4 \% \times 274\\\\\rightarrow \frac{16.4}{100} \times 274\\\\\rightarrow 0.164 \times 274 = 44.936 \approx 44.9[/tex]

Thus 44.9 megabytes of download is complete

Final answer:

multiply 274 megabytes by 0.164, which gives 44.936 megabytes. Rounded to the nearest tenth, this is 44.9 megabytes.

Explanation:

To calculate how many megabytes have been downloaded when 16.4% of a 274 megabyte file has been completed, you simply multiply the total file size by the percentage that has been downloaded. You can convert the percentage into a decimal by dividing it by 100.

So, 16.4% as a decimal is 0.164. Now, multiply the file size by this decimal:

274 megabytes * 0.164 = 44.936 megabytes

Round to the nearest tenth, the amount downloaded is approximately 44.9 megabytes.