4. How many mugs could you make with 360 spoonfuls of cocoa mix?​

Answer:

Integers are 7, 8, 9

Step-by-step explanation:

Let three positive consecutive integers are (n - 1), n, (n + 1)

If the product of the second and the third integer is 72,

n(n + 1) = 72

n² + n = 72

n² + n - 72 = 0

n² + 9n - 8n - 72 = 0

n(n + 9) - 8(n + 9) = 0

(n - 8)(n + 9) = 0

(n - 8) = 0 ⇒ n = 8

(n + 9) = 0 ⇒ n = -9

For n = 8,

Integers will be ⇒ 7, 8, 9

For n = -9,

Integers will be ⇒ -10, -9, -8

Since, all integers are positive,

7, 8, 9 will be the answer.

Answer:

x=1.5 y=2.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the first equation to solve the second equation

y = 4.25 - x

16.90x + 4(4.25 -x) = 36.35

16.90x + 17 - 4x = 36.35

12.90x = 19.35

x = 1.5

y = 4.25-1.5

y= 2.75

x=1.50

y=2.75

Answer:

X=5 Y=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6(x + 20)

Step-by-step explanation:

you need to divide both numbers by six.

I recommend downloading photomath for a more detailed explanation and for help with math in the future.

Answer:

y = 70 + 30x

slope 30

y intercept 70

Step-by-step explanation:

Let me = slope

m = (18 - (-2))/(4 - 0)

m = 20/4

m = 5

We now plug slope 5 and one of the given points into the point-slope formula.

y - y_1 = m(x - x_1)

y - 18 = 5(x - 4)

y - 18 = 5x - 20

y = 5x - 20 + 18

y = 5x - 2

Done!

Answer:

D. [tex]2^{18}[/tex]

Step-by-step explanation:

The expression is: [tex](2^{6}) ^{3}[/tex] * [tex]2^{0}[/tex]

For the first term: When a term with an exponent is inside parentheses with another exponent on the outside, the two exponents are multiplied by each other:

6 * 3 =  18

Now the expression looks like this: [tex]2^{18}[/tex] *   [tex]2^{0}[/tex]

Any number to the power of zero is 1.

So the equation now looks like this:  [tex]2^{18}[/tex] * 1

After you multiply the two terms, you end up with  [tex]2^{18}[/tex].

Answer:

The answer is D 2^18

Step-by-step explanation:

Answer:

Option 4: 45 units is the correct answer

Step-by-step explanation:

Let [tex]P_1[/tex] be the perimeter of Pentagon and

Let P2 be the perimeter of Triangle

So,

[tex]P_1 = 5(\frac{1}{2}x-1)\\P_2 = 3(x-5)[/tex]

In order to find the perimeter of each figure we have to put both the expressions equal so that the value of x can be found and then perimeter.

So,

[tex]P_1 = P_2\\5(\frac{1}{2}x-1) = 3(x-5)\\\frac{5}{2}x-5 = 3x-15\\\frac{5}{2}x-3x = -15+5\\\frac{5x-6x}{2} = -10\\-\frac{x}{2} = -10\\-x = -10 * 2\\-x = -20\\x = 20[/tex]

Putting x = 20 in 2nd perimeter

[tex]P_2 = 3(x-5) \\= 3(20-5)\\= 3(15)\\=45[/tex]

As both the perimeters are same, the perimeter of pentagon will also be 45 units.

Hence,

Option 4: 45 units is the correct answer

Answer:

The percentage profit of the bookshop will make on the whole is 27%.

Step-by-step explanation:

The following are given in the question:

Copies of books for sale = 650

Selling price per copy = 75

Copies sold at 5% discount = 300

Discount rate = 5%, or 0.05

Percentage profit per copy = 30%, or 0.30

To calculate cost per copy, the following formula is used:

Percentage profit per copy = (Selling price per copy – Cost per copy) / Cost per copy …….. (1)

Substituting the values into equation (1) and solve for Cost per copy, we have:

30% = (75 - Cost per copy) / Cost per copy

0.30 * Cost per copy = 75 - Cost per copy

(0.30 * Cost per copy) + Cost per copy = 75

1.30 * Cost per copy = 75

Cost per copy = 75 / 1.30

Cost per copy = 57.6923076923077

Therefore, we have:

Total cost = Copies of books for sale * Cost per copy = 650 * 57.6923076923077 = 37,500

Selling price at 5% discount = 75 * (100% - Discount rate) = 75 * (100% - 5%) = 75 * 95% = 71.25

Revenue from sales at selling price at 5% discount = Selling price at 5% discount * Number of sales at 5% discount = 71.25 * 300 = 21,375

Revenue from the remaining copies sold at 75 per copy = (Copies of books for sale - 300) * 75 = (650 - 300) * 75 = 350 * 75 = 26,250

Total revenue = Revenue from sales at selling price at 5% discount + Revenue from sales at 75 per copy = 21,375 + 26,250 = 47,625

Total profit = Total revenue - Total cost = 47,625 - 37,500 = 10,125

To calculate the percentage profit of the bookshop will make on the whole, the following formula is used:

Percentage profit on the whole = (Total profit / Total cost) * 100 ................ (2)

Substituting the relevant values form above into equation (2), we have:

Percentage profit on the whole = (10,125 / 37,500) * 100

Percentage profit on the whole = 0.27 * 100

Percentage profit on the whole = 27%

Therefore, the percentage profit of the bookshop will make on the whole is 27%.

The lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation of the lines:

y = 3x + 2 and y = 3x - 3

The slope of the line:

y = 3x + 2

y = mx + c

m = 3

The slope of the line:

y = 3x - 3

y = MX + C

M = 3

m = M

The slopes of the line are the same.

Thus, the lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.

Learn more about the linear equation here:

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Answer:

Look at the Latin root. Mono means one, so [tex]2x^{2}[/tex] is an example because it is only made up of one term. Bi means two, so [tex]3x^{3}[/tex]+4 is an example because it was two terms. Tri means three, so there needs to be three terms for it to be a trinomial. [tex]2x^{5}[/tex]-3x+5 is an example of a trinomial because it was three terms within the equation.

I hope this helps!

Answer:

a) Equation is: 3x+4=22

b) Solving the equation we get the number x = 6

Step-by-step explanation:

a) Equation

Let the number be x.

Translating the statement into mathematical form:

Multiply the number with 3 i.e 3x

Add four i.e 3x+4

I get twenty two means: 3x+4=22

So, Equation is: 3x+4=22

b) Solve the equation:

3x+4=22

subtracting 4 on both sides

[tex]3x+4=22\\3x+4-4=22-4\\3x=18[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{18}{3}\\x=6[/tex]

So, the number x = 6

The solution of the logarithmic functions [tex]log_9 ( \dfrac{1}{81} )[/tex] would be, - 2. Hence option b is true.

Given that,

The expression is, [tex]log_9 ( \dfrac{1}{81} )[/tex].

Used the formula of logarithmic functions that are,

[tex]log (m^n) = n log m[/tex]

And, [tex]log_a (a) = 1[/tex]

Now, simplify the given logarithmic functions by using the above formula,

[tex]log_9 ( \dfrac{1}{81} )[/tex]

[tex]log_9 ( 81 )^{-1}[/tex]

[tex]log_9 ( 9^2)^{-1}[/tex]

[tex]log_9 ( 9)^{2 \times -1}[/tex]

[tex]log_9 ( 9)^{-2}[/tex]

Apply the formula [tex]log (m^n) = n log m[/tex],

[tex]- 2 log _ 9 (9)[/tex]

Since, [tex]log_a (a) = 1[/tex]

Hence, it can be written as,

[tex]- 2 log _ 9 (9)[/tex]

[tex]- 2 \times 1[/tex] [tex]= - 2[/tex]

Therefore, the solution is,

[tex]log_9 ( \dfrac{1}{81} ) = - 2[/tex]

To learn more about logarithms visit:

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Answer:

The least common multiple 150 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.

Answer:

150

Step-by-step explanation:

25*6=150

10*15=150

30*5=150

Answer:

The possible graph is "A". A further explanation is given below.

Step-by-step explanation:

The given values are:

Dominick spends on running

= 0.70 hours

He spends on swimming

= 1.5 hours

This week,

Dominick spends more than six hours.

If,

Number of runs be "x".

Number of swimming be "y".

then,

⇒ [tex]0.75x+1.5y>6[/tex]

⇒ [tex]75x+150y>600[/tex]

⇒ [tex]x+2y>8[/tex]

Therefore, [tex]x+2y=8[/tex]

x = 0

y = 4

So the above is the correct answer.

Answer:

$0.76

Step-by-step explanation:

3.79+2.57+5.8=12.16

12.16 x 0.0625=0.76

To solve this, you have to add all the prices together and then convert the percentage into a number so that you can multiply it by the total sales. You end up with 0.76 cents as the taxes for Akio's Purchase.You convert the percentage by moving it backward 2 decimal places.

Answer:

is o.76

Step-by-step explanation:

I took the quiz

Answer:

Undefined because the x values are the same

Step-by-step explanation:

Slope: y2 - y1 / x2 - x1

Slope: 7 - 10 / -3 - - 3

Slope: -3 / -3 + 3

Slope: -3 / 0

Slope: undefined

Answer:

IM LOOKING FOR THE ANSWER TO LOL

Step-by-step explanation:

9514 1404 393

Answer:

  y = -3x +26

Step-by-step explanation:

We assume the given line is ...

  y = -3x +5

This is in slope-intercept form:

  y = mx +b

where m = -3 and b = 5.

The parameter m represents the slope of the line. A parallel line will have the same slope, so will be of the form ...

  y = -3x +b

We can find the value of b using the given point:

  8 = -3(6) +b

  26 = b . . . . . . add 18

So, the equation of the parallel line through (6, 8) is ...

  y = -3x +26

Answer:

3.75

Step-by-step explanation:

Follow PEMDAS

P = parentheses so first it will turn to 30 divided by 3 times 5

E = exponents we dont have any

M = multiplication 30 divided by 8

D = division = 3.75

Answer:

y= -[tex]\frac{3}{5}[/tex]x+16

Step-by-step explanation:

[tex]\frac{19-13}{-5-5}[/tex]

-[tex]\frac{6}{10}[/tex]

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

13=-[tex]\frac{3}{5}[/tex](5)+C

13=-3+C

16=C=y intercept

Answer:

m = 0

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points given from the graph.

Point (0, 2)

Point (7, 2)

Step 2: Find slope m

Any horizontal line will have a slope of 0.

And we have our final answer!

Answer:

x = 9/2

Step-by-step explanation:

4x + 8 = 6x - 1

4x - 6x = - 1 - 8

-2x = -9

2x = 9

x = 9÷2

x = 9/2

-TheUnknownScientist

Answer:

x=-6

Step-by-step explanation:

Twice mean multiply by 2

and twice a number is 2x (If you let x be the "number")

increase means adding by

increase by 1 is adding by 1

Is means =

is -11 is

=-11

now that we have all the things we add it up

Wice a number increased by 1 is -11:

2x+1=-11

Now you move the 1 to the other side by subtracting by 1 on both sides:

2x+1-1=-11-1

Simplify:

2x=-12

divide both sides by 2:

x=-6

Hope this helps!

Answer:

1. $6.88

2. 16 oz box

3. 5 dollars if u were to buy the 11 pound I think

Step-by-step explanation:

1. 24 pack because if you got 2 packs of Diet coke for 3.99 each then it would be 7 something dollars which is higher than 6.88

2. cheaper for more

Answer:

Yes, I think. I could be wrong but hopefully not!

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it follows a pattern so it is a function. I am pretty sure about this because I learned about functions and non functions a few classes ago.

Answer:

2x -1

Step-by-step explanation:

x*x =2x 3-4 =-1

2x+-4