2. Alice Hall, who loves to cook, makes an apple cake (serves 6) for her family. The recipe calls for 2 1/2 pounds of apples, 2 1/4 cups of flour, 1/5 cup of margarine, 1 1/4 cups of sugar and 4 eggs. Since guests are coming, she would like to make this cake so it will serve 24. How many pounds of apples should she use?
...?

First, find the width by using the perimeter formula for a rectangle, solve the equation, and then calculate the length by adding 6 yards. With both widths, calculate the area. The rectangle's area is 55 square yards.

To solve for the area of the rectangle, we must find its length and width first. The given condition is that the length is 6 yards longer than the width. If we denote the width as w yards, then the length would be w + 6 yards.

Since the perimeter is the sum of all sides, for a rectangle, it can be calculated by the formula P = 2l + 2w, where P is the perimeter, l is the length and w is the width. Substituting the given perimeter (32 yd) and the expressions for length and width, we have:

Now that we have both dimensions, the area of the rectangle can be calculated using the formula A = l × w. Substituting the found values:

Area = 11 yd × 5 yd = 55 yd²

Therefore, the area of the rectangle is 55 square yards.

Answer:

[tex]25x^{2}y^{22}[/tex] is the answer.

Step-by-step explanation:

The given expression is [tex](5xy^{5})^{2}(y^{3})^{4}[/tex].

Now we have to simplify the expression given in the question.

[tex](5xy^{5})^{2}(y^{3})^{4}=(5)^{2}(x)^{2}(y^{5})^{2}(y^{3})^{4}=25x^{2}y^{10}y^{12}=25x^{2}y^{10+12}=25x^{2}y^{22}[/tex]

Therefore the simplified form of the expression will be [tex]25x^{2}y^{22}[/tex]

Answer:

If the question is to the center of that circle instead of "any point inside of that circle" then the answer is true.

Step-by-step explanation:

I got it wrong because I didn't read it all but it is true if it is to any point inside of that circle.

Answer:  x = 8

−2x − 1 + 3x =7

−2x + −1 + 3x =7

(−2x+3x) + (−1) =7 (Combine Like Terms)

x+ −1 =7

x−1=7

Step 2: Add 1 to both sides.

x−1+1=7+1

x=8

94.2 cm divided by pi which is 3.14 equals to 30 evenly hoped this helped yall out

The volume of the conical cup is approximately 94.25 cm³. This is the amount of water it can hold when full.

To find the volume of the conical paper cup, we'll use the formula for the volume of a cone:

[tex]\[ V = \frac{1}{3} \times \pi \times r^2 \times h \][/tex]

Where:

- ( V ) is the volume of the cone

- ( pi ) is a constant (approximately 3.14159)

- ( r ) is the radius of the circular base of the cone

- ( h ) is the height of the cone

Given:

- ( r = 3 ) cm (half the diameter)

- ( h = 10 ) cm

Substituting the given values into the formula:

[tex]\[ V = \frac{1}{3} \times \pi \times (3^2) \times 10 \][/tex]

[tex]\[ V = \frac{1}{3} \times \pi \times 9 \times 10 \][/tex]

[tex]\[ V = \frac{1}{3} \times 90\pi \][/tex]

[tex]\[ V = 30\pi \][/tex]

Now, let's calculate the approximate value of [tex]\( \pi \)[/tex] which is 3.14159:

[tex]\[ V \approx 30 \times 3.14159 \][/tex]

V≈94.2477

So, the volume of the conical paper cup is approximately [tex]\( 94.2477 \, \text{cm}^3 \) or \( 94.25 \, \text{cm}^3 \)[/tex] rounded to two decimal places. This is the amount of water the cup can hold when full.

i don't know the answer can you help me

The solution for the given equation is square root of 7. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is x²=7.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

For the given equation x²=7, square root on both the sides.

That is, x=±√7

Therefore, the solution of the equation is x=±√7.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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 3.1     Pull out like factors :

   -5x - 25  =   -5 • (x + 5) 

 4.1      Solve :    -5   =  0

This equation has no solution.
A a non-zero constant never equals zero.

 4.2      Solve  :    x+5 = 0 

 Subtract  5  from both sides of the equation : 
                      x = -5 

The value of x in 5(2x - 7)=15x-10 is 5

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.  

Here, the Algebraic expressions with variable in x is given :

5(2x - 7)=15x-10

which is solved using properties of multiplication and solving for value x by arranging variables and constant separately aside:

5(2x - 7)=15x-10  

20x - 35 = 15x -10

20x -15x = 35-10

5x = 25

x= 5

Therefore, the value of x in 5(2x - 7)=15x-10 is 5

more on algebraic expression at :

brainly.com/question/20660076

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The secant of angle A is 13/5 and the secant of angle B is 13/12. Option A is correct.

To find the secant of angle A and angle B, we need to use the reciprocal function of cosine which is secant. The secant of an angle is equal to the reciprocal of the cosine of that angle.

So, if sec A = 13/5, it means that the cosine of angle A is equal to 5/13. Similarly, if sec B = 13/12, it means that the cosine of angle B is equal to 12/13.

Answer: 1/2

Step-by-step explanation: 1/2 bc 50 and 50 is like 1/2 and 1/2

Hope this helped ya! :}

Edit: js realized this was 7 years ago-

Answer:

16

Step-by-step explanation:

Answer: it is false :)