A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.
Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.
Answer:
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
These both answers are correct.
Step-by-step explanation:
Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.
If x is the food bill our equation can be:
(x+16)/8 = 76/8
(x+16)/8 = 9.5
x+16= 9.5*8
x= 76 -16
x= 60
The food bill is x=60.
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
got it right on ed
There is a bag with 10 balls inside it. 2 are footballs, 3 are soccer balls, 1 is a soittall, 2 are baseballs, and 2 ore basketballs, you were to reach in and grab one ball, what is the probability that it is a basketball or soccer ball? P(basketball or soccer ball)
Answer:
5/10, 1/2, 50% and 0.5 are all correct answers in different forms.
Step-by-step explanation:
5 of the balls are basketballs or soccer balls. This is 5/10 of the balls.
Find the area of the triangle. Round your answers to the nearest tenth if necessary.
14 in
125 degrees
15 in
Answer:
14in
Step-by-step explanation:
basta ganun hirap nun
A bag contains 14 blue, 6 red, 12 green, and 8 purple buttons. 25 buttons are removed from the bag randomly. How many of the removed buttons were red if the chance of drawing a red button from the bag is now 1/3?
Answer:
1 button.
Step-by-step explanation:
Total buttons = 40
Total red buttons = 6
Total Buttons removed =25
Buttons left = 40–25 = 15
Let the red buttons left = x
1.)Then, the probability of red buttons after removing 25 buttons = x/15 outcome / Total outcome)
2.)Probability of red buttons in the bag after removing 25 buttons is 1/3 (As given in the question)
Comparing Statement 1.) & 2.) , We get
x/15 = 1/3
x = 5
So the red buttons left = 5
Total red buttons= 6
Red buttons removed = 6–5= 1
Hence, only 1 button was red in the 25 removed buttons
There is only one red button in the removed buttons if it has a chance of drawing a red button from the bag after removing 25 buttons from the bag with 14 blue, 6 red, 12 green, and 8 purple buttons is 1/3. This is obtained by equating the probability of getting red buttons from the bag after removing 25 buttons with the given probability of red buttons.
What is probability?Probability is the measure of the likelihood of an event occurring.
Probability is given by the ratio of the number of favorable outcomes with respect to an event to the total number of possible outcomes.
[tex]p(A) = \frac{n(A)}{n(S)}[/tex]
p(A) is the probability of event A
n(A) is the number of outcomes with respect to A
n(S) is the total number of possible outcomes
Calculating the number of red buttons:Given that a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons.
So the total number of buttons in the bag = 40
It is given that 25 buttons are removed from the bag randomly
thus, the remaining buttons in the bag = 40 - 25 = 15
It is given that the probability of drawing a red button from the bag after removing 25 buttons is 1/3
So, for finding the number of red buttons in the bag after removing we can write,
n(A) = p(A) × n(S)
here, A is the event of drawing the number of red buttons and p(A) = 1/3 and n(s) = 15 (after removing)
Thus, the number of red buttons in the bag after removing = [tex]\frac{1}{3}[/tex] × 15 = 5
So, the number of red buttons left in the bag = 5
then, the red buttons removed from the bag = 6 - 5 = 1
Therefore, only 1 red button is removed from the bag.
Learn more about probability here:
https://brainly.com/question/21278788
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HELP, i’m really struggling and having a hard time
Answer:
G
Step-by-step explanation:
Urgent please help..
Answer:
0.39
Step-by-step explanation:
Height of triangle (h) = 2.5 + 4 = 6. 5 cm
Base of triangle (b) = 3 + 3 = 6 cm
Radius of circle (r) = 4 cm
Required probability = Area of triangle/Area of circle
[tex] = \frac{ \frac{1}{2} bh }{\pi {r}^{2} } \\ \\ = \frac{ \frac{1}{2} \times 6 \times 6.5 }{3.14 \times {4}^{2} } \\ \\ = \frac{3 \times 6.5}{3.14 \times 16} \\ \\ = \frac{19.5}{50.24} \\ \\ = 0.388136943 \\ \\ \approx0.39[/tex]
Find the measure of the indicated angle to the nearest degree?
Please hurry
Answer:
45 degrees
Step-by-step explanation:
Using the pythagorean theorem, the 3rd side=19. So the triangle is isosceles and therefore the 2 angles we don't know the measure of are congruent. One angle measures 90 degrees. So the last 2 angles must be 90 together, since we know a triangle equals 180 degrees. Therefore the angle we are trying to find is 45 degrees.
Only 3% of turtle hatchlings will live to become breeding adults. How many turtles must have been born if the current number of breeding adults is 1,200?
Answer:
116400 I believe not 100% sure tho
The total number of turtles born is 40,000.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, only 3% of turtle hatchlings will live to become breeding adults.
The current number of breeding adults is 1,200
Let the total number of turtles born be t.
Now, 3% of t=1200
3/100 ×t=1200
3t=120000
t=40000
Therefore, the total number of turtles born is 40,000.
To learn more about the percentage visit:
brainly.com/question/24159063.
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- 7(4-1) = 14
- 28 - 7r = 14
- 7r = 42
r = -6
What the right answer
Is this your question?
-7(4-1r) = 14
-28+7r=14
7r=32
r=32/7
On a certain hot summers day, 672 people used the public swimming pool. The daily prices are $1.50 for children and 2.50 for adults. The receipts for admission totaled $1289.00. How many children and how many adults swam at the public pool that day?
[tex]3q+2p+7[/tex]3q+2q+7
Answer:
that seem pretty hard but i think ik it
A trampoline has a jumping surface that is 15.7 ft. long and 12 ft. wide. What is the area of the jumping surface?
Answer:
188.4
Step-by-step explanation:
because if you multiply 15.7 and 12 you get 188.4 and that is the area of the jumping space.
Answer:
area = length×wide=15.7×12=188.4ft²
find the value of (a+b)^2 if a^2+b^2=10 and ab=3
Answer:
(a+b)^2 if a©+2b
Step-by-step explanation:
i not sure
Answer:
16
Step-by-step explanation:
.
WILL MARK BRAINLISTTTTTTTTTTTT
Answer:
f(2) is -2
Step-by-step explanation:
plug 2 in everywhere you see x
-2(2)^2-2(2)+10
-2(4)-4+10
-8-4+10
-2
hope this helped!
a letter to your friend telling him about your best subject
Answer:
Writing a letter to a friend about my favorite subject.
Explanation:
ABC Apartments
New South Block
New Delhi
10 May, 2015
My dear friend Ankush,
How are you? I hope everything is going well and you are fine. I am also fine and doing okay.
I am writing to you in response to your last letter. You asked me which subject I love the most and unlike you, I am no math wizard. But I do love literature, so we are poles apart. All jokes aside, I love literature as it is a way for me to be transported to a whole different world and it gives me the space to enjoy. Just like you love math, I also love books, stories, and all the like. It is a form of escape for me and it has become more of an obsession than mere interest.
Anyway, books provide me a sense of being in my own world, where I can meet different people and be transported to different periods in history. This is my way of being involved and learning about the cultures of the world.
I hope I didn't make you bored. But as you used to say, we all have our likes and dislikes, but that's what makes us who we are.
Please come visit me whenever you have a holiday. Hoping to see you soon.
Take care.
Your best friend,
Rahul.
help me with an answer i'm bad doing maths
Answer:
3(x+5)≡3x +a
3x + 15≡ 3x +a ⇒ a=15
I hope you understood!
Answer:
3(x+5)=3x+a
3x+15=3x+a
a=3x-3x+15
a=+15 ........ans
PLSSS HELP SOMEONE PLEASE HELP
Answer:
i) 68
ii) 87
iii) 124
iv) 81
Step-by-step explanation:
hope that helped :)
PLEASE HELPPPPP SOOOONNNNN
Mr. Sanchez’s class sold Snickers for $1.50 each and Mr. Kelly’s class sold bottles of fruit juice for $1.26 each. Together, the classes sold 82 items and earned $115.56 for their school.
(a) Write and solve a system of equations that model the problem. Show all your work.
X*1.50+Y*1.26= 115.56
(b) Which class earned more money?
(c) How much more money did that class earn?
Answer:
Mr. Kellys class sold more fruit juice I think. I could be wrong but i am pretty sure that is the answer!
Step-by-step explanation:
In PQR, Q= 76, PQ = 18, and QR = 27
Please find angle P, T and PR for 5
Answer:
Step-by-step explanation:
Given:
m<Q = 76°
PQ = r = 18
QR = p = 27
Required:
Find P, T, and PR (q)
Solution:
✔️To find PR(q), apply the Law of Cosines.
Thus:
q² = r² + p² - 2rp×cos(Q)
Plug in the values
q² = 18² + 27² - 2×18×27×cos(76)
q² = 1,053 - 235.148
q² = 817.852
q = √817.852
q = 28.6 (nearest tenth)
✔️Find P by applying the Law of Sines:
[tex] \frac{sin(P)}{p} = \frac{sin(Q)}{q} [/tex]
Plug in the values
[tex] \frac{sin(P)}{27} = \frac{sin(76)}{28.6} [/tex]
[tex] sin(P) = \frac{sin(76)*27}{28.6} [/tex]
[tex] sin(P) = 0.9160 [/tex]
[tex] P = sin^{-1}(0.9160) [/tex]
P = 66.3° (nearest tenth)
✔️R = 180 - (P + Q)
R = 180 - (66.3 + 76)
R = 37.7°
please help
A flower bed is in the shape of a triangle, with a base of 15 feet and a height of 9 feet. What is the area of the flower bed?
24 square feet
32.5 square feet
67.5 square feet
135 square feet
Answer:
Option c - 67.5
Step-by-step explanation:
Base= 15
Height = 9
Area= 1/2 x b h = 1/2 x 9 x 15 = 67.5 feet
If the side lengths of a cube are 16 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
A. 16 ⋅ 3
B. 16 ⋅ 16 ⋅ 16
C. 16^3
D. 3^16
Can someone help-
Im lazy lol
Ill mark brainliest c:
Answer:
c=34
Step-by-step explanation:
Use the Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
(16^2)+(30^2)=c^2
1156=c^2
[tex]\sqrt{1156}[/tex]=c
c=34
A rectangle has a width of 2.5 inches and a length of x inches. The value of the perimeter of the rectangle is equal to the value of the area of the rectangle. Graph a system of linear equations to find x .
Answer:
Step-by-step explanation:
W=2.5, L=x
A=LW=2.5x
P=2(L+W)=2(2.5+x)=5+2x
P=A
5+2x=2.5x
5-0.5x=0
-0.5x=-5
x=10
Matteo spends a total of 38 min exercising. He walks for 6 min to warm up and then runs at a constant rate of 8 min per mile for the rest of the time. Matteo says that he ran 4.78 mi. Is he correct?
Answer:
yes, he is correct
Step-by-step explanation:
please so work for the fraction in the picture. thank you so much in advance
Answer:
option A real x is a number
2.
Fill in each missing reason.
Given: 10x - 4y= 1; X = 2
Prove: 19/4=y
Answer:
y = 19/4
Step-by-step explanation:
replace x by 2
then 10 × 2 = 20
switch the 20 to the other side and subtract 20 from 1
it will be -19
and -4 will go to the other side as a divide and -
z
-19 / -4 = 19/4
a + x + p + 8 = r
solve for x
all help is appreciated!!
a+x+p+8 =r
(to solve isolate x)
x=r-(a+p+8)
x= r-a-p-8
expand 2x(3x+2y)
answer needed asap
Answer:
6x^2+4xy
Step-by-step explanation:
Hope that helps you out!
Answer:
Step-by-step explanation:
6x^2+4xy
Water is pumped out of a 500-gallon tank at a rate of 2.5 gallons per second. The inequality 500−2.5t<100 can be used to determine the time t in seconds, after which there will be less than 100 gallons of water remaining in the tank.
Answer:
[tex]160\ \text{s}[/tex]
Step-by-step explanation:
The inequality that represents the situation is
[tex]500-2.5t<100[/tex] where [tex]t[/tex] is the time in seconds
[tex]\Rightarrow -2.5t<100-500[/tex]
[tex]\Rightarrow -2.5t<-400[/tex]
[tex]\Rightarrow 2.5t>400[/tex]
[tex]\Rightarrow t>\dfrac{400}{2.5}[/tex]
[tex]\Rightarrow t>160\ \text{s}[/tex]
So, the time after which there will be less than 100 gallons of water is [tex]160\ \text{s}[/tex].
Help me pleaseeeeeeeeeeeee
Answer:
44,10
Step-by-step explanation:
I think this is the answer
Answer:
$44.10
Step-by-step explanation:
tip = 35 x .20 = 7.00
tax = 35 x .06 = 2.10
9.10 + 35.00 = 44.10
