to rent a popcorn machine, it costs 35$ plus $6.95 for each hour. write and evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. then make a table showing the cost for 5, 6, 7, and 8 hours

Answer:

a × 2 means 'a' multiplied by 2

a(2) also means 'a' multiplied by 2

So both mean the same.

a × 2 means 2 times the value of variable "a".

a(2) represents a function "a" with input 2.

a × 2 means the value of variable "a" multiplied by 2. In mathematical terms, it is simply "2 times a" or "2 * a."

a(2) indicates a function notation, where "a" is a function and "2" is the input to that function.

It is not multiplication but rather a way of representing the value of the function "a" when the input is 2.

Hence, a × 2 means 2 times the value of variable "a".

a(2) represents a function "a" with input 2.

To learn more on Number system click:

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9514 1404 393

Answer:

Step-by-step explanation:

Let w and d represent the costs of white chocolate chip cookie dough and double chocolate chip cookie dough, respectively.

  6w +12d = 204 . . . . . . Ryan's sale

  7w +7d = 147 . . . . . . . . Cody's sale

We can divide out the common factor to put these equations into standard form:

  w +2d = 34

  w +d = 21

Subtracting the second of these equations from the first, we get ...

  (w +2d) -(w +d) = (34) -(21)

  d = 13

Using the second equation, we can find w:

  w = 21 -d = 21 -13 = 8

The costs of the chocolate chip cookie dough packages are ...

  white: $8

  double: $13

Answer:

gfxdg

Step-by-step explanation:

Step-by-step explanation:

Solution,

Area=38.5 cm²

by using the formula of are of a circle i.e, πr², we get

πr²= 38.5 cm², where π=22/7

r²=38.5 cm²/π

r²=12.25 cm²

r=√12.25 cm²

r=3.5 cm

Now, by using the formula of circumference of a circle i.e, 2πr, we get

2πr=2×π×3.5 cm, where π=22/7

=22 cm

So, the circumference of the circle is 22 cm.

I hope it helped U

stay safe stay happy

Answer:

The circumference is 21.9899977262 (22 if rounded).

Step-by-step explanation:

First, we need to multiply pi by the area of the circle (3.14 x 38.5). This gives us 120.89. Next, we need to find the square root of 120.89. Which gives us 10.9949988631. Now we need to mulitply 10.9949988631 b which gives us 21.9899977262. Now if you would like you can round the number. This gives us a final answer of 22.

Let me know if you have any questions.

Answer:

113.1 cm³

Step-by-step explanation:

we even have the formula. we only need a calculator to simply type this in.

the only "trap" here : we were given the diameter, and for the radius we need to cut that in half.

so,

r = 3

V = 4/3 × pi × r³ = 4/3 × pi × 3³ = 4/3 × pi × 27 =

= 4 × pi × 9 = 113.1 cm³

Answer: 625 estudiantes

Step-by-step explanation:

100%-60%=40% varones

40/100 = 250/x

(250*100)/40 = 625 estudiantes

Answer:  Choice A.

- 4.5 because it is the negative number with the greatest absolute value.

===================================================

Explanation:

Stuff to the left is smaller than stuff on the right for any number line.

For example, we can say 2 < 5 since 2 is to the left of 5.

Another example: -7 < 4

To find the smallest item of your given list, we need to look at the value that is furthest to the left. That value would be -4.5 and this value is negative with the largest absolute value (i.e. it is furthest away from 0).

Check out the number line diagram below. It shows where all of the values are placed. We can see that -4.5 is the left-most item.

Answer:

a but

Step-by-step explanation:

i think a

Answer:

The pattern is [tex]n^{4}[/tex].

Step-by-step explanation:

[tex]1^{4}[/tex] = 1, [tex]2^{4}[/tex] = 16, [tex]3^{4}[/tex] = 81, [tex]4^{4}[/tex] = 256

So the pattern is [tex]n^{4}[/tex].

#1

√ab=√a√b

#2

Let they be x and x+2

It's given that two consecutive square nos

A square no must be positive integer so -9 can't be that

The next odd no=7+2=9

The numbers are 7 and 9

Answer:

100 pages

Step-by-step explanation:

total number of pages = 286 + 424 + 290 = 1000

equal amount in 10 days,

number of pages hhe should read in the first day = 1000/10 = 100

Answer:

(p - 3q)/ 5p

Step-by-step explanation:

p^2 - 7pq + 12 q^2

= (p - 3q)(p - 4q)

and

5p^2 - 20 pq = 5p(p - 4q)

The p - 4q is common to both expressions so the answer is

(p - 3q)/ 5p.

Answer:

[tex]\frac{p-3q}{5p}[/tex]

Step-by-step explanation:

Given

[tex]\frac{p^2-7pq+12q^2}{5p^2-20pq}[/tex] ← factorise numerator and denominator

= [tex]\frac{(p-4q)(p-3q)}{5p(p-4q)}[/tex] ← cancel (p - 4q) on numerator/ denominator

= [tex]\frac{p-3q}{5p}[/tex]

Answer:

the equation is x + 2x + 2x + 7 = 327

or 5x + 7 = 327

x = 64

Trisha has 135 votes.

Step-by-step explanation:

Jill has x votes.

If Morgan got twice as many votes as Jill, then Morgan has

2 times the number of votes

or 2x

Trisha won the election with 7 more votes than Morgan's, so we add 7 to this amount

2x + 7

So assuming Jill, Morgan, and Trisha are the only three candidates:

then x + 2x + 2x + 7 = 327

Combine like terms

5x + 7 = 327

Subtract 7 from both sides

5x = 320

x = 64

Check answer for x:

64 + 2(64) + 2(64) + 7 = 64 + 128 + 128 + 7 = 327

So Trisha has

2x + 7 = 2(64) + 7 = 128 + 7 = 135 votes

Answer:

0.67

Step-by-step explanation:

4/6 = 0.66666667

The 6 in the thousandth place is greater than 5, therefore we add 1 to the 6 that's in the hundredth place.

I hope this helps :)

Step-by-step explanation:

6x-4(x+3)

6x-4x-12

2x-12

So, option b is correct.

I hope it helped u

stay safe stay happy

Answer:

[tex]x = \frac{5}{12} [/tex]

Step-by-step explanation:

[tex] \frac{3}{2x} - \frac{2}{3x} [/tex]

➡️ [tex] \frac{3}{2x} - \frac{2}{3x} = 2[/tex]

➡️ [tex] \frac{5}{6x} = 2[/tex]

➡️ [tex]5 = 12x = 12x = 5[/tex]

➡️ [tex]x = \frac{5}{12} [/tex]

Answer:

x = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{2}[/tex] x - [tex]\frac{2}{3}[/tex] x = 2 ( multiply through by 6 to clear the fractions )

9x - 4x = 12

5x = 12 ( divide both sides by 5 )

x = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

. The vertex for angle BAC, written ∠BAC, is point A. The angle can also be named as ∠CAB or by only its vertex, ∠A. W

Answer:

128 : 192 : 240

Step-by-step explanation:

Given that

A : B = 2 : 3

That is B = 1.5A

Then in fractional form

[tex]\frac{B}{C}[/tex] = [tex]\frac{4}{5}[/tex] , so

[tex]\frac{1.5A}{C}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )

4C = 7.5A ( divide both sides by 4 )

C = 1.875A = 1.875 × 2 = 3.75

The ratios of A : B : C = 2 : 3 : 3.75

Sum the parts of the ratio , 2 + 3 + 3.75 = 8.75

Divide the quantity by 8.75 to find the value of one part of the ratio

560 ÷ 8.75 = 64 , then

2 parts = 2 × 64 = 128

3 parts = 3 × 64 = 192

3.75 parts = 3.75 × 64 = 240

Then A : B : C = 128 : 192 : 240

[tex]\\ \rm\longmapsto <AEC+<CED+x=180[/tex]

[tex]\\ \rm\longmapsto 47+90+x=180[/tex]

[tex]\\ \rm\longmapsto 137+x=180[/tex]

[tex]\\ \rm\longmapsto x=180-137[/tex]

[tex]\\ \rm\longmapsto x=43[/tex]

Answer:

Part A: 2m/1s

Part B: 7m/6s or 5m/2s (I'm new to this as well)

Part C: 0m/1s

Part B is the fastest because the slope is the steepest and Part C is the slowest because there's no speed happening; it's at rest.

Step-by-step explanation:

Answer:

7500 ( 1.023 ) ^(x)

Step-by-step explanation:

x is the number of years that go by

Answer:

(-9,-9)

Step-by-step explanation:

B = (-9,-9)

A = (9,-3)

Midpoint M = (0,-6)

Step-by-step explanation:

Here,we have,

(x, y) =M(0,-6)

(x1, y1) =A(9,-3)

(x2, y2) =coordinates of B=?

Using midpoint formula, we get,

x=x1+x2÷2

or, 0=9+x2÷2

or, 0×2=9+x2

or, 0-9=x2

or, x2=-9

therefore, x2=-9

Now,

y=y1+y2÷2

or, -6=-3+y2÷2

or, -6×2=-3+y2

or, -12+3=y2

or, y2=-9

therefore, y2=-9

Hence, the coordinates of B are (-9, -9)..

Answer:

    8- 3x = 2 I think this is

Answer: The unknown number is 2.

Step-by-step explanation:

Let the number be x

8-3x = 2

or, -3x = -6

so, x = -6/-3

so, x = 2

Answer:

1/40

219/250

69/16

Step-by-step explanation:

1.

0.025=(025)/(1000)=1/40

2.

0.876=876/1000=219/250

3.

4.3125=43125/10000=1725/400=69/16

Answer:

10/12 or 5/6

Step-by-step explanation:

So assuming each dice has 6 sides

6+6=12

12-2=10

10/12 or 5/6

Answer:

possible outcomes =1,1,2,2,3,3,4,4,5,5,6,6

probability that you don't get 2 on both dice is

10/12

=5/2

Answer:

3/8 L

Step-by-step explanation:

Set up a ratio:

1 L/8 hrs=x L/3 hrs (same as 180 minutes)

Cross multiply to solve.

8x=3 so x=3/8 L

Answer:

$5.05

Step-by-step explanation:

$30-4.75=25.25 (cost of total pens)

25.25÷5=$5.05 (there are 5 pens so divide by 5)

Answer:

y<-5/4

Step-by-step explanation:

3y+7<2-y

-7 on both sides

3y<-5-y

+y on both sides

4y<-5

divide by 4 on both sides

y<-5/4