evaluate log base 12 of y^2, given log base 12=16

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]

The answer to this problem is simple 134

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:

7.48331477355

Step-by-step explanation:

Answer:

(7.48331)

Step-by-step explanation:

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:

#LearnwithBrainly

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

Answer:

[tex]\large\boxed{(h\circ g)(x)=6x-16}[/tex]

Step-by-step explanation:

[tex]h(x)=3x-1\\\\g(x)=2x-4\\\\(h\circ g)(x)=h\bigg(g(x)\bigg)\\\\\text{Substitute instead of x the expression (2x - 4) to h (x):}\\\\(h\circ g)(x)=3(2x-4)-4\qquad\text{use the distributive property}\\\\(h\circ g)(x)=(3)(2x)+(3)(-4)-4\\\\(h\circ g)(x)=6x-12-4\\\\(h\circ g)(x)=6x-16[/tex]

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:

joshua has 3 more cookies than dareonte

45 adult tickets and 80 children tickets were sold

Solution:

Let "a" be the number of adult tickets sold

Let "c" be the number of children tickets sold

Cost of 1 adult ticket = $ 6

Cost of 1 children ticket = $ 3.50

They sold a total of 125 tickets

Therefore,

a + c = 125

c = 125 - a --------- eqn 1

They made a total of $550. Therefore, frame a equation as:

number of adult tickets sold x Cost of 1 adult ticket + number of children tickets sold x Cost of 1 children ticket = 550

[tex]a \times 6 + c \times 3.50 = 550\\[/tex]

6a + 3.50c = 550 ----------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

6a + 3.50(125 - a) = 550

6a + 437.5 - 3.50a = 550

2.5a = 112.5

Substitute a = 45 in eqn 1

c = 125 - 45

Thus 45 adult tickets and 80 children tickets were sold

Answer:

2.78 days 66.67 hours

Step-by-step explanation:

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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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:

12

Step-by-step explanation:

30 times .40 =12

Answer:

Step-by-step explanation:

To calculate %, or to find x% of y, use

xy/100

(30)(40)/ 100

1200/100

12

Therefore, 40% of 30 = 12

Answer:

Step-by-step explanation:

First, parallel lines have the same slope, so the slopes should be the same , and then you use the given point to find the y intercept

EX:

y=x+1

find equation of line the is parallel and passes through (1, 1)

Same slope, so y=x+b

then plug in the point

1=1+b

b=0

our line would be y=x

To write the equation of a line when you know a point on the line and have the equation of a line parallel to it, use the point-slope form of a linear equation. Substitute the values and simplify to get the equation.

To write the equation of a line when you know a point on the line and have the equation of a line parallel to it, you can use the point-slope form of a linear equation. The point-slope form is y - y1 = m(x - x1), where (x1, y1) is the known point and m is the slope of the parallel line. Substitute the values into the equation and simplify to get the equation of the line.

For example, if you know a point on the line is (2, 5) and you have the equation of a line parallel to it as y = 2x + 3, the slope of the parallel line is 2. Substitute the values of the known point and the slope into the point-slope form: y - 5 = 2(x - 2). Simplify the equation to get the equation of the line: y - 5 = 2x - 4.

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Answer:334

Step-by-step explanation:

11+15=26-360

Answer:

2/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(4-1)

m=2/3

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:

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:

[tex]a=-\dfrac{1}{2}[/tex]

Step-by-step explanation:

Given the parabola

[tex]y=a(x-1)(x-4)[/tex]

To find y-intercept, substitute [tex]x=0:[/tex]

[tex]y=a(0-1)(0-4)\\ \\y=4a[/tex]

Hence, [tex](0,-4a)[/tex] is the point of intersection with y-axis.

To find x-intercept, substitute [tex]y=0:[/tex]

[tex]0=a(x-1)(x-4)\\ \\x_1=1\ \text{or}\ x_2=4[/tex]

Hence, points [tex](1,0)[/tex] and [tex](4,0)[/tex] are the points of intersection with x-axis.

Find the area of the triangle formed:

[tex]A_{\triangle}=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}\\ \\\text{Base}=|4-1|=3\\ \\\text{Height}=|4a|\\ \\A_{\triangle }=\dfrac{1}{2}\cdot 3\cdot |4a|=6|a|[/tex]

Since the area of the triangle is 3, you have

[tex]6|a|=3\\ \\6a=-3\ [\text{Parabola goes downward}]\\ \\a=-\dfrac{1}{2}[/tex]

Answer:

A

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

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.

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.