Scale factor from A to B is 4:5.
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Answer:

Joel's coin collection had 120 dimes and 80 quarters.

Step-by-step explanation:

Given that Joel had a coin collection of two hundred coins, which were dimes and quarters, and the total value was worth $32, to determine how many coins of each type he had, the following equations must be performed:

0.25 - 0.10 = 0.15

200 x 0.10 = 20

32 - 20 = 12

12 / 0.15 = 80

200 - 80 = 120

(80 x 0.25) + (120 x 0.1) = X

20 + 12 = X

32 = X

Therefore, Joel's coin collection had 120 dimes and 80 quarters.

Answer:

To maximize profit, the amount of each type of coffees made are;

The number of regular latte made = 52 cups

The number of low-fat latte made = 48 cups

Step-by-step explanation:

The given parameters are;

The number of espresso in a regular latte = 1 shot

The number of cups of 2% milk in regular latte = 1 cup

The amount of whipped cream in a regular latte = 0.5 cup

The number of cups of skim milk in the low-fat latte = 1.25 cup

The number of espresso in a low-fat latte = 1 shot

The amount of whipped cream in a low-fat latte = 0 cup

The number of cups of espresso in the journey = 100 shots

The number of cups of skim milk in the journey = 60 cups

The number of cups of 2% milk in the journey = 60 cups

The amount of profit the airline makes on each regular latte = $1.58

The amount of profit the airline makes on each low-fat latte = $1.65

Let 'x' represent the number regular lattes made and let 'y' represent the number low-fat lattes made, we have;

x ≤ 30/0.5 = 60

x ≤ 60

y ≤ 60

y ≤ 60/1.25 = 48

∴ y ≤ 48

x + y ≤ 100

Therefore, the given that more profit is made from the sale of low-fat latte than for regular latte, the maximum number of low-fat latte should be made

Therefore, the number of low-fat latte made, y = 48

Therefore, the number of regular latte made, x ≤ 100 - 48 = 52

For maximum profit, the maximum number of low-fat latte, 'x', should be made

Therefore, x = 52

The ideal mix of regular and low-fat lattes to maximize profit is 52 cups of regular latte and 48 cups of low-fat latte

1️⃣Remove parentheses

6a+6+3x-2+2a+4

2️⃣Collect like terms

(6a+2a)+(6-2+4)+3x

3️⃣Simplify

8a+8+3x

Answer: 8a+8+3x

1️⃣Remove parentheses.

-2z-3+4c+6y+y+3c

2️⃣Collect like terms.

-2z-3+(4c+3c)+(6y+y)

3️⃣Simplify

-2z-3+7c+7y

Answer: -2z-3+7c+7y

1️⃣Subtracting (7.8 - 5.1t) from (2.8 - 3.2t)  

(2.8 - 3.2t) - (7.8 - 5.1t)  

2️⃣Remove the parentheses.  

2.8 - 3.2t - 7.8 + 5.1t  

= 5.1t - 3.2t + 2.8 - 7.8 (we have now shown the difference in another way)  

3️⃣Subtracting the like terms, will give:

1.9t - 5  

4️⃣Recall  

(2.8 - 3.2t) - (7.8 - 5.1t).  

(-3.2t + 2.8) - (-5.1t + 7.8)

Answer:

a. (-3.2t + 2.8) - (-5.1t + 7.8)  

b. 1.9t - 5  

c. (-3.2t + 2.8) - (-5.1t + 7.8)

1️⃣Simplify

1/2p-(1/4p-4)

2️⃣Simplify

p2-(p/4-4)

3️⃣Simplify

p2-p/4+4

4️⃣Combine Terms

(p/2-p/4)+4

5️⃣Combine Terms

p/4+4

Answer: p/4+4

Done ✔

Answer:

14

Step-by-step explanation:

Given the following equation;

4³ - (2 + 2³) * 5

4*4*4 - (2 + 2*2*2) * 5

64 - (2 + 8) * 5

64 - (10) * 5

64 - 50 = 14

Note: the rule of BODMAS was applied.

Answer:

69

the measure of angle will

111 + AXB = 180

AXB = 180 - 111

AXB = 69

hope it helps

Answer:

angle AXB= 180-111=69°

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think you mean a² + b² = c², not ca.

a = 10, c = 26

b² = c²  - a² = 26² - 10² = 576

b = √576 = 24 ft

Answer:

Evaluate means to assess or determine something.

Step-by-step explanation:

Answer:

Means to simply solve, sometimes you may need to show your thinking, depending on the question.

Step-by-step explanation:

Answer:

600 km

Step-by-step explanation:

72 (km on 6 L of gasoline) / 6 (liters of gasoline) = 12 (km per liter)

50 (liters of gasoline) * 12 (km per liter) = 600 (km that Jacqueline can drive using 50L of gasoline)

I hope this helps :)

Answer:

600

Step-by-step explanation:

took the test

Answer:

It will take her 6 hours for her to pick 60 baskets of peaches.

Step-by-step explanation:

Answer:

a) next one is previous one -3

b) next one is 3 times previous one

Answer:

9

Step-by-step explanation:

because 14-5=9

There are 1440 minutes in 1 hour

Step-by-step explanation:

Since there are 60 minutes in 1 hour multiply 60 by 24, you get 1440.

Answer:

1.0833333 Feet

Hope this helps! If I could have brainliest im trying to level up.

Step-by-step explanation:

13 Inches =

1.0833333 Feet

(rounded to 8 digits)

Answer:

$68,840

Step-by-step explanation:

70,000*12%=8,400

8440+64,440=$68,840

Answer:

formula is 6a²= surface area

but since one side is not being painted it is

5a²= surface area

5(3.2)²

=51.2cm

Answer:

[tex]\displaystyle d = 9[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (-3, 4)

Point (-3, -5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

In algebra, we often study relationships where a change to one variable causes change in another variable. Describe a situation you’re familiar with where one quantity changes constantly in relation to another quantity. How are the two quantities in the situation related? If you represent the two quantities on a graph, what will it look like?

Step-by-step explanation:

Answer:

wouldnt it be 8 im not sure tho

Step-by-step explanation:

Answer:

C) 0%

Step-by-step explanation:

Let’s give the square sides equaling 4. The area would equal 16.

Decreasing the top by 75% would make it 1.  Increasing the bottom by 75% makes it 7.

(1+7)/2=4

The height is still four so 4x4=16

No change in area.

Answer:

x = 5

y = 11

Step-by-step explanation:

y = 4x - 9

2x -3(4x - 9) = -23

2x - 12x + 27 = -23

-10x = -23 -27

-10x = -50

minus cancels out

x = 5

y = 4(5) -9

y = 20 - 9

y = 11

Answer:

Steps below

Step-by-step explanation:

8) x = y²/2           2rcosΘ = r²sin²Θ      2cosΘ = rsin²Θ

   r = 2cosΘ/sin²Θ = 2cotΘcscΘ

9) (x+2)²+y²=4     y= rsinΘ     x=rcosΘ

   (rcosΘ+2)²+y²sin²Θ = 4

   r²cos²Θ+4rcosΘ+4+y²sin²Θ=4

   r²(sin²Θ+cos²Θ)+4rcosΘ=0

   r²+4rcosΘ=0            r+4cosΘ=0

   r = - 4cosΘ

10) r = 2sinΘ         r=2* y/r           r²=2y       x²+y²=2y

     x² + (y²-2y+4) = 4          x²+(y-2)² = 4

11) r = 3tanΘsecΘ = 3* (y/x) * (r/x)

   1 =3y/x²

   x² = 3y        3y = x²

Answer:

1 and -0.6

Step-by-step explanation:

Answer:

The correct option is (2).

Step-by-step explanation:

We need to find the value of the given expression i.e.

[tex]\dfrac{(8x^6)^2}{(4x^2)^3}[/tex]

We can calculate it as follows :

[tex]\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6[/tex]

So, the final answer is x⁶. The correct option is (2).

Answer:

111

Step-by-step explanation:

Use PEMDAS to solve this equation, so first we have to do parenthesis first. Simplify 4+16 to get 20. Simplify 2+3 to get 5. Therefore, the equation will now look like 180/(20)-8x3+7x(5). Because we can do either division or multiplication first, we have to solve the equation started from the left. Therefore, we do 180/20 which is 90. Then the equation will be 90-8x3+7x5. Multiply -8 and 3 together to get -24. Therefore, the equation will be 90-24+7x5. Because we always do multiplication/division before addition/subtraction. We have to do 7x5 which is equal to 35. Therefore, the equation will look like 90-24+35. Because there is only subtraction and addition now, we should start from the left hand side which is 90-24. Simplify this to get 76. Then the equation will be 76+35. Simplify this to get 111.

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