Why can't you use the product of powers rule to simplify
this expression? Explain.
3^4.2^8

Answer:

x = 19,      x = 17

Step-by-step explanation:

(x-18) ^2 = 1

Take the square root of each side

sqrt((x-18) ^2) = ±sqrt(1)

x-18 = ±1

Add 18 to each side

x-18 +18 =18± 1

x = 18+1     x=18-1

x = 19,      x = 17

Answer:

32 servings

Step-by-step explanation:

Take the amount of honey and divide by the size of a serving

8 ÷ (1/4)

Copy dot flip

8 * 4/1

32

There are 32 servings

Answer:

32 servings

Step-by-step explanation:

Answer:

a) 66

Step-by-step explanation:

Answer:

4031.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid? Answer: quarts

let x = amount of the 50% solution

A typical mixture equation using the decimal equivalent to

0.50x +0 .20(20) =0 .40(x+20)

0.50x + 4 = 0.40x + 8

0.50x - 0.40x = 8 - 4

0.10x = 4

x = 4/0.1

x = 40 qts of 50% solution

Answer:

40 quarts I checked in RSM portal

Answer:

6 hot dogs package assuming she's buying a single package to contains 10 package or approximately 8 rolls if she buys the 8 package containing above 60 rolls of hot dogs.

In my opinion, she needs at least 8 package of hot dog rolls to make hot dogs for her guests.

Step-by-step explanation:

Hello,

There are typically 10 hot dogs in a single package. However some may contain 8 hot dogs rolls in a single pack so we'll solve for both in case which ever one she decides to buy.

My teacher is expecting 30 guests coming to the party and each 1 one them wants to eat 2 hot dogs.

To solve this question, we would first of all know the total number of hot dogs they'll probably eat at the party.

2 hot dogs = 1 person

y hot dogs = 30 people

y = (30 × 2) / 1

y = 60 hot dog.

Therefore, the guest would most likely consume at least 60 hot dogs at the party.

However, in a single hot dog package, it contains 10 hot dogs in it.

Now we'll have to find out the total number of hot dogs package my teacher needs to buy to prepare the hot dogs for her guests.

To do that, we'll have to divide the total number of hot dogs expected to be consumed by the total number of hot dogs in one package.

Number of package = total number of hot dogs expected to be consumed / total number of hot dogs in one package.

Number of package she needs = 60 / 10

Number of package she needs = 6

Therefore, my teacher requires 6 hot dog package.

But some hot dogs comes in 8 rolls per package

Using the same method above,

Number of rolls she needs = 60 / 8

Number of rolls she needs = 7.5 approximately 8 rolls

Answer:

turkey: $3.50

ham: $3

Step-by-step explanation:

Use system of equations:

turkey-x   ham-y

5x+7y=38.5

4x+6y=32

multiply by 4 on equation 1 and multiply by 5 on equation 2

20x+28y=154

20x+30y=160

-2y=-6

y=3 ham is $3

5x+7(3)=38.5

5x=38.5-21

5x=17.5

x=3.5 turkey is $3.50

Answer: The answer is (2)

Just evaluate the functions with the values of the figure

Answer:

9 th term

Step-by-step explanation:

Equate 65 - 4n to 29 and solve for n , that is

65 - 4n = 29 ( subtract 65 from both sides )

- 4n = - 36 ( divide both sides by - 4 )

n = 9

Answer:

Step-by-step explanation:

The key here is knowing that the equation of the line that passes through these points is same

Thus having (6,14) and (0,0), the slope is as follows;

m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3

Now we can use this slope here to get the value of y in the question

All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)

That would be;

7/3 = y-14/1-6

7/3 = y-14/-5

cross multiply;

-35 = 3(y-14)

-35 = -3y + 42

-3y = -35-42

-3y= -77

y = -77/3

y = 77/3

Answer:

1/9

Step-by-step explanation:

9 bananas 7 mangoes 2 pineapples.  = 18 pieces  of fruit

Fraction of fruit that is pineapple

pineapple / total

2/18

Simplifying

1/9

Answer:

1/9

Step-by-step explanation:

To start off, add all of the known fruit amounts in order to find the total amount of fruit.

9 bananas +7 mangoes + 2 pineapples

When you do this, you find that the total fruit is 18

In order to know probability, you must divide the desirable outcome by the total possible outcomes.

The desirable outcome is pineapple. There are 2 pineapples. The total possible outcomes are 18.

2/18

You can simplify this fraction so that it becomes 1/9 by dividing the numerator and the denominator by 2

Please give me Brainliest, I have not got it yet but I have been working for it as hard as I can.

Answer:

- 23/13

Step-by-step explanation:

first, we do the FOIL multiplication (First, Outer, Inner, Last)

(2x+3)(x- 8)= 3+2(x- 5)(x + 5)

2x(x-8) + 3(x-8) = 3 + 2(x(x+5) - 5(x+5))

2x² - 16x + 3x - 24 = 3 + 2(x² + 5x - 5x -25)

2x² - 16x + 3x - 24 = 3 + 2(x² - 25)

2x² - 16x + 3x - 24 = 3 + 2x² - 50

2x² - 13x - 24 = 3 + 2x² - 50

after that move all component which have x to the left

2x² - 2x² - 13x = 3 - 50 + 24

-13x = 23

x = - 23/13

Answer:

x^3= 11/-7

Step-by-step explanation:

(2x+3)(x- 8)= 3+2(x- 5)(x + 5)=

2x^2-16x+3x-24= 3+2x-10+x+5

-11x-24= -2+3x

-11x^2 -24 = -2+3x

-11x^2-3x = -2+24

-14x^3 = 22

x^3 = 22/ -14

x^3 = 11/-7

Answer:

C - 13

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

No need

Answer:

8,181 ft^2

Step-by-step explanation:

Area of the parking lot = Area of the whole structure - Area of the building

The building is a square of 12cm by 12cm

which is 72ft by 72ft since 1 cm is 6 ft

its area is thus 72 * 72 = 5,184 ft^2

The structure measures 16.5 cm by 22.5 cm

Multiplying the sides by 6, we have 99 ft by 135 ft

So its area is 99 * 135 = 13,365 ft^2

The area of the parking lot = 13,365 - 5,184 =

8,181 ft^2

Answer:

its is C. X-Y= 0

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

plz let me know if this is incorrect

Answer:

The plans will cost the same for $260 minutes of calling.  These minutes will cost $52.20

Step-by-step explanation:

Plan A:  $8 + ($0.17/min)t

Plan B:  $21 + ($0.12/min)t

Equate these, obtaining $8 + ($0.17/min)t = $21 + ($0.12/min)t, or:

($0.17/min)t - ($0.12/min)t = $13, or

($0.05/min)t = $13 , so t = 260 minutes.  The plans will cost the same for $260 minutes of calling.

Find the cost in this situation:  It is $21 + ($0.12/min)(260 min), or $52.20

Answer:

[tex]|p-q|-(|p|-|q|) = 20[/tex]

Step-by-step explanation:

First let's find the value of 'p-q':

[tex]p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\[/tex]

To find |p-q| (module of 'p-q'), we can use the formula:

[tex]|ai + bj| = \sqrt{a^{2}+b^{2}}[/tex]

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

[tex]|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25[/tex]

Now, we need to find the module of p and the module of q:[tex]|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15[/tex]

[tex]|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10[/tex]

Then, evaluating |p-q|-{|p|-|q|}, we have:

[tex]|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20[/tex]

Answer:

the answer is B, because triangle BCA is a rotation of triangle XYZ.

Step-by-step explanation:

Answer:

[tex]270 \:m^2[/tex]

Step-by-step explanation:

The area of the triangle.

[tex]bh\frac{1}{2}[/tex]

[tex]b \times h \times \frac{1}{2}[/tex]

[tex]20 \times 27 \times \frac{1}{2}[/tex]

[tex]540 \times 1/2[/tex]

[tex]=270[/tex]

The area of triangle would be;

⇒ Area of triangle = 270 m²

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Here, Given that;

Base of triangle = 20 m

Height of triangle = 27 m

Now, We know that;

Area of triangle = 1/2 × Base × Height

Substitute all the values, we get;

⇒ Area of triangle = 1/2 × Base × Height

⇒ Area of triangle = 1/2 × 20 × 27

⇒ Area of triangle = 270 m²

Thus, The area of triangle would be;

⇒ Area of triangle = 270 m²

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Answer:

y = x/2 -14

Step-by-step explanation:

Since the lines are parallel, their slopes are equal

For the first line, we have

y = 0.5x -8

so comparing this with the standard form y = mx + c

Our m is the slope which is 0.5 here

kindly recall that 1/2 is same as 0.5

so the slope of the line we want to form also is 0.5

Now, we use the point slope form to find the equation of this new line

Mathematically that would be;

y-y1 = m(x-x1)

So;

y-(-17) = 0.5(x-(-6)

y + 17 = 0.5(x + 6)

y + 17 = 0.5x + 3

y = 0.5x + 3-17

y = 0.5x -14

or y = x/2 -14

Answer:

adult tickets are $8 and student tickets are $14

Step-by-step explanation:

to find the price of adult and student tickets, first look at all the given values:

a = adult tickets

s = student tickets

so: 4a + 5s = 102

and : 7a + 5s = 126

since in both equations the number of student tickets are the same, we have to find the difference of value to determine how much adult tickets are:

126-102 = 24

there are 3 more adult tickets in the equation with a total of 126, therefore:

24 / 3 = 8

that means each adult ticket is work 8 dollars.

now substitute this value:

4(8) + 5s = 102

32 + 5s = 102

you can solve this by concluding that 102- 32 is 70

that means 5(s) has to equal 70

so 70 / 5 = s

70/5 = 14

so the value of s = 14 and the value of a = 8

Answer:

26miles

Step-by-step explanation:

Let Nina's husband's (Ed) mileage = x miles

Nina = (x + 6) miles

Combined mileage = 46

Nina's miles + Ed's miles = 46

x + (x+6) = 46

x+x+6 = 46

2x +6 = 46

2x = 46-6

2x = 40

x = 40/2 = 20miles

Nina's husband covered 20miles

Nina covered = x+6 = 20+6 = 26miles

Nina walked 26miles

Pls mark brainliest,thankyou.

Answer:

b

Step-by-step explanation:

Answer:

and 4x-5x-4x+3y+7y-3y-8z+10z-8z

-5x+7y-6z :this is the answer

Answer: C

Step-by-step explanation:

The enequality includes x values equal to or greater than -2 and less than(but not equal to) 1.

so the possible integers would be -2 -1 0.

Answer: x: 1,2,3,4 y: 2,4,8,16

Step-by-step explanation:

Exponential growth means that the rate of the line of a graph or chart is rapidly growing in size or number.

1 | 2

2 | 4

3 | 8

4 | 16

5 | 32

6 | 64

etc.

Answer:

option B edg 2021

Step-by-step explanation:

im too lazy to explain but its option B

Answer:

17

Step-by-step explanation:

2+7+4+4 = 17

Add all of the sides hence perimeter

calculate using unit squares

Answer:

8

Step-by-step explanation:

(100 - 20) / 10 = 8

Answer: He has to take a class per month from the both pros

Step-by-step explanation: