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3 years ago

Alani is the head baker at Patty Cakes Bakery.

Mathematics

1 answer:

aksik [14]3 years ago

7 0

Answer:

1).Sugar used in 7 days = 61.25 pounds

2). Total cost of 9 cupcakes = $38.25

Step-by-step explanation:

1). Alani uses 8.75 pounds of sugar each day.

So, sugar used in 7 days = Amount of sugar used in one day × Number of days

= 8.75 × 7

= 61.25 pounds

2). Since, each cupcake costs $4.25

Number of cakes ordered = 9

Total cost of 9 cupcakes = Cost of each cupcake × Number of cupcakes

= 4.25 × 9

= $38.25

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Salina, Tamara, and Uma are working on their homework together. Salina tells her friends that she got θ=52∘θ=52∘ for the inverse

svlad2 [7]

Answer:

The values reported by Uma, Salina, and Tamara are all possible values for inverse cosine

Step-by-step explanation:

Solution:-

- The solution to the inverse "cosine" problem would have a general form:

θ = cos^-1 ( a )

Where, a: Any arbitrary constant, - 1 < a < 1

- The value of θ = 52° was reported by Salina suggests that the answer lies in the first quadrant of a cartesian plane where ( sin (θ) , cos (θ) , tan (θ) ) have positive values for "a".

Hence, 0 < a < 1 , θ = 52°

- The value of θ = 128° was reported by Tamara suggests that the answer lies in the second quadrant of a cartesian plane where ( sin (θ) ) have positive values for "a" and (cos (θ) , tan (θ) have negative values for "a". So for cos (128):

Hence, -1 < a < 0 , θ = 128°

- The value of θ = 308° was reported by Uma suggests that the answer lies in the fourth quadrant of a cartesian plane where ( cos (θ) ) have positive values for "a" and (sin (θ) , tan (θ) have negative values for "a". So for cos (308):

Hence, 0 < a < 1 , θ = 308°

- The angle θ reported by Uma and Salina are similar solution because of property law of complementary angles:

cos (θ) = cos ( 360 - θ )

Where, θ = 52°, cos (52°) = cos( 308°) .. Uma and Salina conform

However, cos ( 180 - θ ) = - cos (θ)

cos(128) = - cos ( 52 ) .... Uma and Tamara conform.

5 0

3 years ago

Can you resolve this?<br><br> A= Area<br> P= Perimeter<br> AT= Total Area<br><br> plis help D:

Paraphin [41]

Answer:

in steps

Step-by-step explanation:

upper square: P = 20x² + 8

Middle equilateral Triangle: A = x² + 4x + 4 base = 2x + 4

A = base x height / 2

(x + 2)² = 2 (x + 2) x height /2

<u>height = x + 2</u>

<u>perimeter = 2 (x + 2) x 3 = 6x + 12</u>

Lower trapezoid: A₁ = 2x² + 24x + 40 = 2 (x² + 12x + 20) = 2 (x + 2) (x + 10)

A₁ = (x + 10)² = 2 (x + 2) (x + 10)

x + 10 = 2x + 4

x = 6

A₁ = (6 + 10)² = 256

6 0

3 years ago

Tito receives a weekly salary of $450 at an appliance store. He also receives a 4 percent commission on the total dollar amount

Kay [80]

<h2>Hello!</h2>

The answer is:

Tito needs a total of $6500 in sales if he want to receive $710 a week.

The equation is:

$TotalAmount=450+Sales*0.04$

From the statement we know that his salary is $450 plus a 4% commission on the total amount of all sales he makes.

So, we can write the following equation to determine the total sales in a week if he wants to make a total of $710.

Remember, if we are working with percents, we need to change it to real numbers in order to perform the calculations, we can do it by dividing the percent value into 100.

We have:

$TotalAmount=450+Sales*0.04$

Now, if he wants to make a total of $710, we have:

$750=450+Sales*0.04$