Make an algebraic equation out if this word problem: Sharkira went bowling with her friends. She paid 3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $21, then how many games did Shakira bowl?

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:334

Step-by-step explanation:

11+15=26-360

Answer:

0.3e+518

Step-by-step explanation:

0.3(e+60)+1500/3

0.3e+18+500

0.3e+518

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

The answer to this problem is simple 134

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:

[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:

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:

joshua has 3 more cookies than dareonte

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:

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:

7.48331477355

Step-by-step explanation:

Answer:

(7.48331)

Step-by-step explanation:

The number Fred thinks of is 111

Solution:

Given that, Fred thinks of a number that is greater than 110 and less than 120

He can make his number with same number of hundreds,tens and ones

To find: Fred's number

Given that the number is greater than 110 and less than 120

The possible numbers are:

111 , 112, 113, 114, 115, 116, 117, 118, 119

But he can make his number with same number of hundreds,tens and ones

So the numbers in ones, tens and hundreds place are same

So the only possible number is 111

Thus the number Fred thinks of is 111

Final answer:

Fred's number is 111, as it is the only number that is greater than 110 and less than 120 and has the same number of hundreds, tens, and ones.

Explanation:

The number Fred thinks of must be greater than 110 and less than 120. Additionally, it must have the same number of hundreds, tens, and ones. To meet these conditions, the only number that fulfills this is 111. This is because it's the only number between 110 and 120 that has the same digit in the hundreds, tens, and ones place.

Fred's number is unique in this range because it is represented with three identical digits, showcasing an interesting property of numbers in our base-ten system where a digit's value depends on its position. Hence, 111 is the number Fred is thinking of, which consists of one hundred, one ten, and one one.

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:

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:

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.

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:

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

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:

2/3

Step-by-step explanation:

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

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

m=2/3

Answer:

2.78 days 66.67 hours

Step-by-step explanation:

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)