Daniel brought 2.75 pounds of Spanish fried rice to a family dinner. During the meal, Daniel and his family ate 1.25 pounds of rice. At the end, Daniel's friend took home half of the rice that was left after dinnerDaniel brought 2.75 pounds of Spanish fried rice to a family dinner. During the meal, Daniel and his family ate 1.25 pounds of rice. At the end, Daniel's friend took home half of the rice that was left after dinner

(1/36)^n = 216

Rewrite 36 as 6^2

(1/6^2) ^n = 216

Since 36 is in the denominator, the exponent is negative

(6^-2) ^n = 216

Rewrite 216 as 6^3

(6^-2)^n = 6^3

We know that a^b^c = a^(b*c) so

6^(-2n) = 6^3

Since the bases are the same, the exponents are the same

-2n = 3

Solving for n

n =-3/2

n = -1.5

Final answer:

The value of n for which [tex](1/36)^n[/tex] equals 216 is -3/2. This is found by expressing both sides of the equation with the common base of 6 and equating the exponents, then solving for n.

Explanation:

To find the value of n for which [tex](1/36)^n[/tex]= 216, first we express 216 as a power of 6, since 36 is a power of 6 (36 = [tex]6^2[/tex]): 216 = [tex]6^3[/tex]. We can then rewrite the equation using this equivalent expression of 216 and the knowledge that 1/36 is [tex]6^-2[/tex]:

[tex](6^-2)^n = 6^3[/tex]

Using the power of a power rule, this simplifies to:

[tex]6^(-2n) = 6^3[/tex]

Since the bases are the same, the exponents must be equal:

-2n = 3

Dividing both sides by -2 to solve for n, we get:

n = -3/2

Answer:

Jade is able to buy 5 bracelets

Step-by-step explanation:

It would be 3a+9. You want to add the like terms. To solve, first add all the "a's". You jave 5a, minus 2a, so you are left with 3a. There's only 1 whole number so just leave it be.

Answer:

We should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.

Step-by-step explanation:

The blend should,

Cost = $5

Weigh = 6 pounds.

Lets take the weight of $6 coffee as [tex]x[/tex] pounds

And lets take the weight of $3 coffee as [tex]y[/tex] pounds.

Lets write an equation for the weight of the blend,

[tex]x+y=6[/tex] <---------- 1st equation.

[tex]\frac{6x+3y}{x+y} =5[/tex]

=[tex]6x+3y=5x+5y[/tex]

=[tex]x=2y[/tex] <---------- 2nd equation

We can substitute to x in 1st equation from 2nd equation,

⇒[tex]2y+y=6[/tex]

=[tex]2y+y=6[/tex]

=[tex]3y=6[/tex]

=[tex]y=2[/tex]

We can substitute y value to 2nd equation to find x,

⇒[tex]x=2y[/tex]

=[tex]x=2*2[/tex]=[tex]x=4[/tex]

Therefore, we should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.

Since you didn’t include the statements, the answer is Marsha.

Why? Her slope increases more per item sold than Dreya.

[tex]\text{The slope formula is: }y=mx+b[/tex]

Marsha earns the most money per item sold because her profit margin is higher, and her earnings increase more rapidly as she sells more items compared to Dreya. Correct option is 2.

Marsha earns the most money per item sold because her profit margin per unit is higher than Dreya's. Profit margin is calculated by subtracting the cost of producing or acquiring an item from its selling price and then dividing the result by the selling price. If Marsha's profit margin per item is larger than Dreya's, it means that she earns more money for each item sold.

The statement also mentions that Marsha's slope increases more per item sold than Dreya's. This likely refers to a graphical representation where Marsha's revenue or profit line has a steeper slope than Dreya's. A steeper slope indicates that Marsha's earnings increase at a faster rate for each additional item sold, reinforcing the idea that she earns more money per item.

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Complete question is:

The graph below shows the weekly salaries of two employees based on the number of items sold. Salaries A graph has items sold on the x-axis and weekly salary on the y-axis. A line for Dreya goes through points (0, 500) and (4, 600). A line for Marsha goes through points (0, 250) and (3, 400). Which statement best explains who earns the most money per item sold?

1. Dreya earns the most money per item sold because her line increases at a faster rate than Marsha’s.

2. Marsha earns the most money per item sold because her line increases at a faster rate than Dreya’s.

3. Dreya earns the most money per item sold because her line begins at a higher point than Marsha’s.

4. Marsha earns the most money per item sold because her line begins at a higher point than Dreya’s.

Answer:

y = 2x + 11

Step-by-step explanation:

y - 3 = 2(x + 4)

y - 3 = 2x + 8

y = 2x + 11

3^3 = 27

4^3 = 64

5^3 = 125

The largest cube has volume 64 cubic units, and the sides are 4 units long.

The largest cube Elena can build is of side [tex]5\;units[/tex] having a volume of [tex]64\;unit^3[/tex].

The volume of a cube is equals to the length of the side raised to the power of 3. Mathematically, [tex]V=(side)^3[/tex].

According to the question, Elena has 80 unit cubes.

So,

For [tex]side=1\;unit;\;Volume=1\;unit^3[/tex]

For [tex]side=2\;unit;\;Volume=8\;unit^3[/tex]

For [tex]side=3\;unit;\;Volume=27\;unit^3[/tex]

For [tex]side=4\;unit;\;Volume=64\;unit^3[/tex]

For [tex]side=5\;unit;\;Volume=125\;unit^3[/tex]

Hence, the largest cube Elena can build is of side [tex]5\;units[/tex] having a volume of [tex]64\;unit^3[/tex].

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90/18 equals 5 minutes for each window,so after 3 hours they would paint 36 windows.            180 minutes in three  hours so 180/5=36

Remark

The 2 angles are vertically opposite and that means they are equal.

Equation

(3x - 3) = [6(x - 10)]    

Solution

Remove the brackets.

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60             Subtract 3x from both sides

- 3 = 6x - 60 - 3x           Combine like terms

-3 = 3x - 60                    Add 60 to both sides

-3 + 60 = 3x

57 = 3x                           Divide by 3

57 / 3 = 3x / 3

19 = x  Answer

Multiply both sides by 5

4a / 5 × 5 = 24×5

20a/5 = 120

4a = 120

Divide both sides by 4

4a/4 = 120/4

a = 30 is the answer

To find the number of customers without curly hair at the salon, we multiply the total number of customers by the percentage with curly hair and subtract that from the total number of customers.

To find the number of customers who do not have curly hair, we first need to determine the number of customers who do have curly hair. We know that 25% of the customers have curly hair, which is equal to 0.25. To find this number, we multiply 0.25 by the total number of customers. So, 0.25 * 644 = 161.

Since we have the number of customers with curly hair, we can subtract this from the total number of customers to find the number without curly hair. So, 644 - 161 = 483 customers do not have curly hair at Terrific Tresses hair salon.

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Answer:

x = -[tex]\frac{17n+r}{n-34}[/tex]

Step-by-step explanation:

We have to solve the equation for the value of x.

n(17 + x) = 34x - r

17n + nx = 34x - r [By Distributive property ]

17n + nx - 17n = 34x - r - 17n [subtracting 17n from both the sides of the equation]

nx = 34x - r - 17n

nx - 34x = 34x - r - 17n - 34x [Subtracting 34x from both the sides of the equation]

x(n - 34) = -(r + 17n) [Division by (n - 34) on both the sides of the equation]  

x = -[tex](\frac{17n+r}{n-34})[/tex]

This is the solution for x in terms of constants n and r is x =  17n + r/34 - n

Solving for x in the equation n(17 + x) = 34x − r

To solve for x, we begin by isolating x on one side of the equation. Given the equation:

n(17 + x) = 34x - r

First, distribute n on the left-hand side:

17n + nx = 34x - r

Next, rearrange the equation to place all terms involving x on one side:

17n + r = 34x - nx

Factor out x on the right side:

17n + r = x(34 - n)

Solve for x by dividing both sides by (34 - n):

x =  17n + r/34 - n

This is the solution for x in terms of constants n and r.

the interest rate is 8.75%

Amount=20000(1+8.75%/100)  into power of time 8

=39125.88

An expression equal to 3/4 - 1/2 would be 6/8 - 2/4.

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

The expression is given as

[tex]\dfrac{3}{4}-\dfrac{ 1}{2} = \dfrac{-1}{4}[/tex]

Also,

[tex]\dfrac{-1}{4}-\dfrac{ 1}{2} = \dfrac{3}{4}[/tex]

Any equation that equals 1/4 will work in this situation.

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Answer:

4 forks and 255 knives will be needed more, while 116 spoons are extra.

Step-by-step explanation:

A restaurant has 1996 forks, 1745 knives and 2116 spoons.

Owner wants to have 2000 of each utensil.

So make them equal to 2000, number of forks needed = 2000 - 1996 = 4

[Subtracted from 2000 because number of forks are less than 2000]

Number of knives needed = 2000 - 1745

                                         = 255

[Again subtracted from 2000 because number of knives are less]

Number of spoons to be donated = 2116 - 2000

                                                        = 116

[2000 is subtracted from total number of spoons because spoons are more than 2000]

Therefore, 4 forks and 255 knives will be needed more, while 116 spoons are extra.

3x + 15 = 66

     -15    -15

3x =  51

Divide 51 by 3 which equals 17.

the answer is 230,000 because we have to look at the 3 and it is less that 5 so the 2 stays the same and the rest turns to zeros

Question from Equation

A

Suppose that h (in hours) represents the number of hours that an incandescent light bulb must be left on in order to heat a very small crawlspace underneath a house. Suppose further that the wattage of the bulb will be the only factor affecting the number of hours the bulb has to stay on. Let the wattage of the Bulb be B. There is a correction factor of C that can be subtracted from the term containing h.

Write a general formula for the what the equation says.

B = 2.5h - C

B

If the wattage of the bulb is 100 and and the Correction factor is 15, how many hours does the bulb have to stay on.

100 = 2.5h - 15

115 = 2.5h

2.5h = 115

h = 46 hours

Answer:

[tex]\huge\boxed{\{x|x\in\mathbb{R},\ x<-2\}}[/tex]

Step-by-step explanation:

[tex]5>x+7\qquad|\text{subtract 7 from both sides}\\\\5-7>x+7-7\\\\-2>x\to x<-2}[/tex]

It’s a positive because 1,132,701 is greater than -47,320

Hope that helps :)

Answer:

Step-by-step explanation:

To solve this problem we need to apply the rule of three.

If one serving has 95 calories, then how much calories would have 2.5 servings?

[tex]2.5 \ servings \ \frac{95 \ calories}{1 \ serving}=237.5 \  calories[/tex]

Therefore, 2.5 servings have 237.5 calories.

1) 15/5 = 3 .  

2) 27/3= 9

3)48/8 = 6

4) 84/7=  12

5)32/4= 8

6) 90/9 =10

7) 30/5= 6

8) 22/2 = 11

9) 60/12= 5

10) 21/3= 7

11) 44/11= 4

12) 54/6 = 9

13) 132/12 = 11

14) 70/ 10= 7

15) 99/9 = 11

HOPE THIS HELPS XD

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Matthew charges $25 for each haircut, and earned $325

Divide 325 with 25

325/25 = 13

13 haircuts were given.

hope this helps

13 because 325/25 = 13

Answer: the answer is c

Answer: y = 1,337.00 + 177.00x

Explanation:

The total pay for the month that Whitney receives is a composition of the fixed salary, $1,337.00, and the commission, $177.00 one ach car she sells.

The commision, in turn is a function of the number of cars that she sells. So the composed function is the sum of two terms: the basic salary and the comissions.

The variables used are:

Hence, the function is: y = 1,337.00 + 177.00x

Answer:

62.5°

I hope it works for you!