The employees from maintenance go for coffee together every day at 9 a.m. On Monday, Hector paid $4.60 for three cartons of milk, three cups of coffee, and seven
doughnuts. On Tuesday, Guillermo paid $8.30 for four milks, nine coffees, and eight doughnuts. On Wednesday, Anna paid $4.90 for two milks, five coffees, and six
doughnuts. On Thursday, Alphonse had to pay for five milks, two coffees, and eight doughnuts. How much change did he get back from his $10 bill?
Answer:
The change will be $4.75
Step-by-step explanation:
Given data:
Monday
Total paid = 5.45
milk bought =3
coffee bought = 4
doughnuhts = 7
Tuesday
Total paid = 5.30
milk bought =4
coffee bought = 2
doughnuhts = 8
Wednesday
Total paid = 5.15
milk bought =2
coffee bought = 5
doughnuhts = 6
Thursday
Total paid = X
milk bought =5
coffee bought = 2
doughnuhts = 9
Let milk be m, Let coffee be c and Let doughnuts be d
3m + 4c + 7d = 5.45 (eqaution 1)
4m + 2c + 8d = 5.30 (equation 2)
2m + 5c + 6d = 5.15 (equation 3)
Using equation 1 and equation 2 ( to eliminate m)
3m + 4c + 7d = 5.45 (Multiply the whole equation by 4)
4m + 2c + 8d = 5.30 (Multiply the whole equation by 3)
12m + 16c +28d = 21.8
12m + 6c +24d = 15.9 (Subtracting the two equations)
0m +10c + 4d = 5.9
therefore 10c +4d = 5.9 (equation 4)
Using equation 2 and equation 3 (to eliminate m)
4m + 2c + 8d = 5.30 (Multiply the whole equation by 2)
2m + 5c + 6d = 5.15 (Multiply the whole equation by 4)
8m + 4c + 16d = 10.6
8m +20c +24d = 20.6 (Subtracting the two equations)
0m -16c -8d = -10
-16c -8d = -10 (equation 5)
Solving equation 4 and equation 5( to eliminate d)
10c +4d = 5.9 (Multiply whole equation by 8)
-16c -8d = -10 (Multiply whole equation by 4)
80c + 32d = 47.2
-64c -32d = -40 (Adding the equations)
16c =7.2
therefore c = 0.45
Substituting into equation 4
10(0.45) + 4d = 5.9
4.5 + 4d = 5.9
4d = 5.9-4.5
4d = 1.4
therefore d = 0.35
Substituting c and d into equation 1
3m + 4c + 7d = 5.45
3m + 4(0.45) + 7(0.35) = 5.45
3m + 1.8 + 2.45 = 5.45
3m = 5.45-2.45-1.8
3m = 1.2 therefore m = 0.4
Alphonse has to pay 3m + 2c + 9d
Alphonse change will be 10 - (3m + 2c + 9d) (Substituting m, c and d)
10- (3(0.4) + 2(0.45) + 9(0.35) = 10 -(1.2+0.9+3.15)
which simplifies to 10- 5.25=4.75
The change will be $4.75
A round balloon has a diameter of 7 inches
Which of the following is closest to the number of
cubic inches of air can it hold?
A) 181 in
B) 189 in
C) 196 in
D) 208 in
E) 210 in
None of the above
+3
Answer:
The right answer is approximately 210.031 cubic inches. (Answer: E)
Step-by-step explanation:
First, we need to convert the diameter ([tex]D[/tex]), in inches, of the round balloon to an entirely decimal mode:
[tex]D = 7\,in + \frac{3}{8}\,in[/tex]
[tex]D = \frac{56 + 3}{8}\,in[/tex]
[tex]D = \frac{59}{8}\,in[/tex]
[tex]D \approx 7.375\,in[/tex]
The volume of the balloon is modelled after the volume function of a sphere ([tex]V[/tex]), in cubic inches:
[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex] (1)
If we know that [tex]D \approx 7.375\,in[/tex], then the volume of the round balloon is:
[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex]
[tex]V = \frac{\pi}{6} \cdot (7.375\,in)^{3}[/tex]
[tex]V \approx 210.031\,in^{3}[/tex]
Hence, the right answer is approximately 210.031 cubic inches.
a raffle ticket costs $1.50 how many tickets would i need to sell to make my target of $150?
hi
150/1.5 = 100
so 100 tickets
HELP ASAP NO LINKS
What is the solution to the equation X=
56 8
co
O x = 448
Ox=64
O x = 48
Ox=7
Answer:
the answer is x=7 cause you have to divide 56 by 8 and that will give you 7 cause 8×7=56
10 POINTS!!!!which polynomial represents the sum below?
Answer:
The right answer to the question is A
help pleaseeeeeeeeeeeeee
Answer:
a
Step-by-step explanation:
Solve the system of equations 2x - y = 13 and - 3x + 2y = - 18 by combining the equations .
Answer:
2X-Y = 13
-3X+2Y = -18
(2X-3X-Y+2Y) = 13-18
-X +Y= -5
For a class party Mr. Lawson brought a bag of candy containing 32 pieces of candy. If Mr. Lawson gives away 7/8 of the bag , how many pieces of candy are left over?
find the direction of
u = - 3 i + 8 j
Answer:
i came up with 1 so i hope it helps u. XD
Step-by-step explanation:
Help me with this question
Answer:
0.45
Step-by-step explanation:
45/100
1/100 = 0.01
0.01 * 45 = 0.45
A coffee shop sells their coffee beans by the pound. the table below shows the cost in dollars for a pound of two different types of beans. How much more is the cost for 1 1/3 pounds of jimmy jitters beans then the calls for 1 1/3 pounds of Harry's himalayan beans
Answer: 23.6
Step-by-step explanation:
9.25+8.42 = 17.7
1 1/3 x 17.7 = 23.6
find the value of 83 -[59-(22-18)]
Answer:
[tex]28[/tex]
Step-by-step explanation:
Follow the PEMDAS order of operations.
Calculate within parentheses[59−(22−18)] : 55
83−55=28
Please thebecks please
Answer:
1.8
Step-by-step explanation:
If we know Xin ordered 5 identical pieces of bread, this must mean that each one weighs the same
By dividing the 9 pounds with 5 (the amount of bread) we will get 1.8
So each bread is 1.8
but if u want to check the answer then we can multiply 1.8 with the 5 loaves of bread and it will result in 9
write 3^n/9^(n-1) as a power of 3
PLEASE HELPP ASAPPP will mark brainlist
Answer:
I think this is the answer for the second question.
[tex]-5(3.15-\frac{21}{20} )+7[/tex]
I'LL GIVE BRAINLIST TO THE FIRST ANSWER
Answer:
4
Step-by-step explanation:
2/5*100 = 40
40/10 =4
Answer:
4
Step-by-step explanation:
2/5 of a century is 40 years. 40 years is 4 decades
which is the value of n for which 411/3 + 388= n-79 ?
Find the axis of symmetry of the parabola y=2x^2+4x-1
Answer:22
Step-by-step explanation:
Add
Multiply
Divide
3 Solve the equation log 2x = -5.
a) 2.5
b)-2.5
c) 0.000005
d) 0.025
2x = -5
x = -5 : 2
x = -2,5
................
A customer at the store wanted to buy a different watch that was listed at $88 but had a 15% discount. Then the customer had to pay a sales tax of 5% on the discounted price. How much did the customer pay for the watch? *
Step-by-step explanation:
88 X 0,15 =....
... X 1.05 = answer
HELPPPP. QUICKK. PLEASEE AND TY :))
Answer: D
Step-by-step explanation:
D
Pls help asapppppp!!!!!
offering 19 points to whoever can solve this need the answers
Answer:
Excuse Me! I believe you forgot to add your question and or picture with the question(s) in it! I would highly recommend to re-upload your question(s) to get the desired information needed!
Yours Truely, TheAnimeCatUwU
Can someone help me find the area?
Answer:
56
Step-by-step explanation:
4 x 5 = 20
20/2 = 10
4 x 5 = 20
20/2 = 10
6 x 6 = 36
20 + 36 = 56
______________________
Give Me Brainllest
Answer:
56
Step-by-step explanation:
use an inequality symbol to compare -3 + 7 ____-10 -2
Answer:
>
Step-by-step explanation:
-3 + 7 = 4
-10 - 2 = -12
4 > -12
HELP PLEASE Help please
Answer:
your answer will be option B. x²-2x-9
Step-by-step explanation:
5x²+4x-1+2x²+3+y=8x²+2x-7
7x²+4x+2+y=8x²+2x-7
y=8x²+2x-7-7x²-4x-2
y=x²-2x-9
hope it helps...
Answer:
B
Step-by-step explanation:
Which players' hit totals would you use to find the range?
Answer:
17. a 18. c 19. d 20. b
Step-by-step explanation:
Hello, for the first question, you just take the person with the largest number and the person with the smallest number. Kenny (5) and Sammy (0).
For question 18, you just add up all the numbers like this:
0+1+3+5+4+1+1+2+1= 18
And then you divide it by the number of people there which is 9:
18/9=2
For question 19, you arrange all the numbers from least to greatest like this:
0,1,1,1,1,2,3,4,5
And then you count on both ends until it meets the middle. 1 is the middle.
For the last question, you just find the number that appears the most, which is one.
at donald's donuts the number of donut holes in a bag can vary. Help donald find the mode. 12,10,10,10,13,12,11,13,10
Answer:
Mode is 10
Step-by-step explanation:
The mode is 10, because it appears the most.
Hope this helps!
Answer:
10
Step-by-step explanation:
I just did it in i ready
If it took 8 hours to mow 5 lawns, then at that rate, how many lawns could be
mowed in 32 hours?
20 lawns
51 lawns
24 lawns
16 lawns