A bride wants to serve her 175 guests cheesecake instead of wedding cake. She purchases 14 cheesecakes that serve 12 people each. If each guest is served only one piece of cheesecake, how many guests will not get a piece?_________________ guests

Answers

Answer 1
Answer: seven guests will not get served

Answer 2
Answer: Your answer is 7 guests.

Hope this helps.


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50 balls are number 1 to 50 and a red dot is painted on those balls that are a multiple of 7. The balls are mixed into a bag and one ball is randomly chosen. What is the probability that the ball is numbered with a multiple of 5 or has a red dot?
Which expression is equivalent to - 3 x (4/- 5)?a. (- 3 x 4) / 5b. - 3/5 x 4c. - 3/- 5 x 4d. (- 3 x 4) / (- 3 x (-5))

Find the coordinates for the midpoint of the segment with endpoints given. (5, 6) and (8, 2)

Answers

we first introduce midpoint formula
X1+X2 over 2;Y1+Y2 over 2
5+8 over 2 ; 6+2 over 2
x=13 over 2 ; Y=4
therefore midpoint=(13/4;4)

the length of a rectangle is 8cm more than the width and its area is 172cm2 .find the width of the rectabgle

Answers

l-the\ length\nl+8-the\ width\nA=172\ cm^2\n\nA=lengtf\cdot width\n\nsubtitute\n\nl(l+8)=172\n\nl^2+8l=172\ \ \ |subtract\ 172\ from\ both\ sides\n\nl^2+8l-172=0\na=1;\ b=8;\ c=-172\n\n\Delta=b^2-4ac\n\n\Delta=8^2-4\cdot1\cdot(-172)=64+688=752 > 0\n\nl_1=(-b-\sqrt\Delta)/(2a)\ and\ l_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(752)=√(16\cdot47)=4√(47)\n\nl_1=(-8-4√(47))/(2\cdot1)=-4-2√(47) < 0\n\nl_2=(-8+4√(47))/(2\cdot1)=-4+2√(47) > 0\n\nThe\ width:l+8=-4+2√(47)+8=4+2√(47)\n\nAnswer:\boxed{length=(2√(47)-4)cm;\ width=(4+2√(47))cm}
length\approx9.71cm;\ width\approx17.71cm

Courtney reads around 110 words per minute. She procrastinated and now has less than a week to finish her reading assignment. If the book she needs to finish has another 820 pages left and each page has around 350 words, how many hours should she set aside to complete her assignment? Show your work to receive full credit. (10 points)

Answers

First we figure out how many words in total she has to read.
This would be the (number of pages) times (number of words per page).

820 * 350 = 287000
so she has to read 287000 words

we divide this by 110 to get how long it would take for her to finish (in minutes)
287000 / 110 = 2609.09090909....

then since there are 60 minutes in an hour, we divide that number by 60
2609.09090909... / 60 = 43.48484848...

Therefore it would take her about 43.5 hours to complete her assignment.

Answer:

43.5 hours

Step-by-step explanation:

Courtney needs to set aside at least 43.5 hours. We need to figure out many words she needs to read in total.So we need to do 820 * 350287000.We then need to divide by 110 so we can the time in minutes. 2609.09090909....Then we divide the number 60 since the question is asking us for hours. Therefore it would take her about 43.5 hours to complete her assignment

At the latest town meeting, only 2/15of the adults turned out for a vote on a new
proposition. How many adults live in this town if 600 adults voted at the last
town meeting?​

Answers

Answer:

300 time 15 = the answer

Answer:

4500

Step-by-step explanation:

Can someone please help me with this trig question.For a given right triangle, side a = 76.4 feet and side b = 39.3 feet What is the length of side c to the nearest tenth of a foot?

Answers

Let 76.4 be the longestest side. ( hyportinues)
Let 39.3 be the base of right triangle.

so we have to find the adjacent side of right side.
 By Pythagoras Theorem.
 76.4² = c² + 39.3²
c² = 76.4² - 39.3²
c² = 4261.95
c = √4261.95
c = 65.3 feet
 

What is the simplest form of this expression? 2y(7y^2+1)-5y

Answers

14y^3 -3y is the simplest form of the expression.