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kompoz [17]
2 years ago
9

A bakery sold a total of 500 cupcakes in a day, and 5% of them were vanilla flavored. How many of the cupcakes sold that day wer

e vanilla flavored?
Mathematics
2 answers:
topjm [15]2 years ago
5 0
25 were vanilla
500 divided by 100 is 5 meaning that one percent is 5 and 5x5 is 25
bearhunter [10]2 years ago
3 0

Answer:

25

Step-by-step explanation:

When calculating a percentage of a number always multiply it by the percentage divided by 100. In this case that would be 0.05, 500*0.05=25

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Skyscraper Windows
Musya8 [376]

Answer:

A.) $2,166

B.) $10,545

C.) (n/2)(3.5 + 0.5n) × 38

Step-by-step explanation:

Floor - - - - - - - - - - 1 - - - - - - - 2 - - - - - - - 3

Cost / window - - $2.00 - - - $2.50 - - - $3.00

Cost of washing first floor = $2 × 38

Cost of second floor is: (2 + 0.5) × 38

Cost of third floor is: (2 + 2 × 0.5) × 38

Cost of n floor : (2 + (n - 1) × 0.5) × 38

Therefore,

Total cost :

(2 + (2 + 0.5) + (2 + 2*0.5) + ... + (2 + (n - 1)*0.5)) × 38

Using Arithmetic progression for the sequence :

2, (2 + 0.5), (2 + 2*0.5),..., (2 + (n - 1)*0.5)

first term 'a' = 2; common difference 'd' = 0.5

Sum of the first n terms of arithmetic sequence terms is:

S = (n/2)(2a + (n - 1)d) ; Where a = 2 and d = 0.5

S = (n/2)(2*2 + (n - 1)*0.5)

S = (n/2)(4 + 0.5n - 0.5)

S = (n/2)(3.5 + 0.5n)

To wash all windows with n stories :

S × 38 windows

A.) To wash all windows : stories = 12

n = 12

(12/2)(3.5 + 0.5(12)) × 38

6(3.5 + 6) × 38 = $2,166

B.) if building is 30 stories tall:

n = 30

(30/2)(3.5 + 0.5(30)) × 38

15(3.5 + 15) × 38 = $10,545

C.) If building is n stories tall :

(n/2)(3.5 + 0.5n) × 38

4 0
2 years ago
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sket
EleoNora [17]

Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

ABC is a triangle with the following labeling:

A is the hole, B is the Tee and C is the point where the ball is.

Sides are labeled as:

a =255\ yd\\c = 305\ yd\\\angle B =17^\circ

To find:

Side b = ?

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

We can use cosine formula here to find the value of the unknown side.

cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}

Putting all the values:

cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd

So, the distance between the Ball and hole is 96.42 yd

Correct answer is option D. 96.4 yd.

8 0
2 years ago
neveah and jason stopped by a restaurant to eat neveah purchased 2 hotdogs and 1 drink for $3.75 jason purchased 3 hotdogs and 2
RoseWind [281]

Answer:

2x + y = 3.75

3x + 2y = 6

Step-by-step explanation:

x = cost of 1 hot dog

y = cost of 1 drink

Neveah: 2x + y = 3.75

Jason: 3x + 2y = 6

5 0
3 years ago
Name 4 pairs of corresponding angles
SOVA2 [1]

Answer:

1.  Alternate angles, 2. Right angle, 3. Acute Angle, 4. Reflex angle

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP ME ASAP !!!!!
Schach [20]

Answer:

Step-by-step explanation:

1a) the y intercept, or 20

b) from 0 weeks to 1 week the difference is 10

c) its y=mx+b m is the slope(difference) and b is the y-int so y = 10x+20

2a) the y int, is the same as the x(number of games played) being zero, so here it is 25

2b) after 3 games it was a loss of 1.50 !!! IMPORTANT !! after THREE weeks, so its 1.5/3=0.5 amount on card per week

2c) (ref 1c) but with that same formula/equation - we get y=0.5x+25

3 0
2 years ago
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