Answers
Part (i)
Answer: m/n
--------------------
Explanation:
You divide the total bill over the number of people at the dinner. This leads to the quotient and the amount each person pays (each person pays the same amount).
====================================================
Part (ii)
Answer: 80 dollars
--------------------
Explanation:
Plug in m = 400 and n = 5 to get
m/n = 400/5 = 80
====================================================
Part (iii)
Answer: m = 7x
--------------------
Explanation:
x = m/n
x = m/7
7x = m ... multiply both sides by 7
m = 7x
The total bill is 7 times of what each person paid.
====================================================
Part (iv)
Answer: 7 people
--------------------
Explanation:
x = 20 is the amount each person paid
m = 140 is the total bill
n = number of people who went to dinner
x = m/n
20 = 140/n
20n = 140 ..... multiply both sides by n
n = 140/20 ..... divide both sides by 20
n = 7
Seven friends went to do dinner, splitting a $140 bill, paying $20 each
Answer:
m/n; $80; 7*x; 7 friends
Step-by-step explanation:
(I) $x=$m/n
(II) $x=400/5=$80
(III) $m=7*x
(IV) n=140/20=7
Related Questions
Hullan's age is two times Thomas's age. The sum of their ages is 21. What is Thomas's age?
Answers
Solve for x. Justify each step. Given: 4x-9=99
Answers
Answer:
4x-9=99
1. Move -9 to the side with 99 and change the sign
4x=99+9
2. Sum
4x=108
3. Divide 4x by 4 to leave the X alone. Do the same on the other side.
4x/4=108/4
4. Complete the division
x=27
Verification:
4(27)-9=99
108-9=99
99=99 (TRUE)
What is the domain of this exponential function?
Show work please I have no clue how to do this.
Answers
All real numbers
A cheese pizza at Chicago's Deep Dish pizza costs $7. Each topping costs an additional $0.75. A cheese pizza at Brooklyn's cost $12. Each topping costs an additional $0.50. Write an equation that represents how many toppings, y, must be added so that the two pizzas cost the same?
Answers
Step-by-step explanation:
Let the number of toppings be y
If cheese pizza at Chicago's Deep Dish pizza costs $7 and each topping costs an additional $0.75, the total amount of the dish pizza will be expressed as;
$7 + $0.75y ..... 1
Also, if a cheese pizza at Brooklyn's cost $12 and each topping costs an additional $0.50, then the total cost of cheese pizza will be;
$12 + $0.50y ........ 2
If the two pizzas cost the same, then equation 1 will be equal to equation 2 as shown;
7+0.75y = 12+0.50y
Make y the subject of the formula to generate the required equation for y:
0.75y-0.50y = 12-7
0.25y = 5
divide both sides by 0.25
0.25y/0.25 = 5/0.25
y = 5/0.25
y = 20
Hence the equation that represents how many toppings, y, must be added so that the two pizzas cost the same is y = 5/0.25 and the number of toppings added is 20.
23,465 rounded to the nearest ten thousand
Answers
Answer:
23,718
The 2 is in the ten thousands place. There is a 3 in the thousands place. Since 3 is less than 5, 2 stays the same and everything after it turns into 0s.
20,000
Answer: 20,000
1. The sum of first n terms of an arithmetic sequence is 3n²+4n
a, what is its first term?
b, write the algebraic form of the sequence.
c, find the 20th term.
Answers
Answer:
a. a₁=7, b. a_n=7n+1, c. a₂₀=141Step-by-step explanation:
a.
[tex]a_1=S_1=3\cdot1^2+4\cdot1=3+4=7[/tex]
b.
[tex]a_1+a_2=S_2\\\\a_1+a_1+d=3\cdot2^2+4\cdot2\\\\7+7+d=3\cdot4+8\\\\14+d=12+8\\\\d=6\\\\\\a_n=a_1+d(n-1)\\\\a_n=7+6(n-1)\\\\a_n=7+6n-6\\\\\underline{a_n=7n+1}[/tex]
c.
[tex]a_{20}=7\cdot20+1=141[/tex]
3)Find the Circumference of this circle.
9 in
Answers
Answer:
56.52 in
Step-by-step explanation:
2πr = C2 × 3.14 × 9 = C2 × 3.14 = 6.286.28 × 9 = 56.52 inI hope this helps!
What is 0•/•0? Let me know if my answer is correct lol my answer to this ? Is imagine that you have zero cookies and you want to divide them evenly amongst zero friends.How many cookies does each person get? See it doesn’t make any sense and cookie monster he said he has no cookies and you were sad because you have no friends.
Answers
Answer:
you are correct
Step-by-step explanation:
Please help. jfmnhnhbmnjmjhj
Answers
Answer:
d
Step-by-step explanation:
Tamara spun the arrow on a spinner 50 times. The number of times the arrow landed on each colored section of the spinner is shown in the table.
Section
Number of Times
Arrow Landed On
Red
23
Blue
Orange
Yellow
8
10
9
Based on the results in the table, what fraction of the area of the spinner is most likely represented by the Red section?
Answers
Answer:
1/2 .
Step-by-step explanation:
Answer: 1/2
Step-by-step explanation:
Aman, Anna and Tina are participating in the school race. Anna completes a lap in 120 minutes, Aman completes a lap in 240 minutes and Tina completes a lap in 60 minutes. If they all started at the same time, then after how long will they meet again?
Answers
Given:
Anna completes a lap in 120 minutes.
Aman completes a lap in 240 minutes
Tina completes a lap in 60 minutes.
To find:
The time after which they will meet again.
Solution:
They all started at the same time. So, the time after which they will meet again is the LCM of time taken by them to complete a lap.
Required time = LCM(120,240,60)
Factors of [tex]120 = 2\times 2\times 2\times 3\times 5[/tex]
Factors of [tex]240=2\times 2\times 2\times 2\times 3\times 5[/tex]
Factors of [tex]60=2\times 2\times 3\times 5[/tex]
So,
[tex]LCM(120,240,60)=2\times 2\times 2\times 2\times 3\times 5[/tex]
[tex]LCM(120,240,60)=240[/tex]
Therefore, after 240 minutes they will meet again.
9+10
A: 21
B: 19
C: 910
D: 91
Answers
Answer:
19
Step-by-step explanation:
This is simple, You put 10+9 on paper, 0+9=9 and 1+0=1 Which gives you your answer of 19!
(I think this is a meme 0.0)
Solve 8 (a+4) + 4a = 36 + 8a
Answers
Answer:
Hi there
Your answer is
a=1
Step-by-step explanation:
8(a+4)+4a=36+8a
8a+32 + 4a = 36+8a
12a+32=36+8a
-8a
4a+32=36
-32
4a=4
/4
a=1
Find 4ab when (a+b)=15 and (a-b)=12
Answers
a – b = 12 ...... eq 2
So a = 15 – b
Substitute in eq 2 :
15 – b – b = 12
15 – 2b = 12
–2b = 12 – 15
b = 1.5
So a = 15 – 3/2 = 13.5
4ab = 4 x 13.5 x 1.5 = 81
Answer:
81
Step-by-step explanation:
here,
(a+b)=15 -------(1)
(a-b)=12 -------(2)
Equating the equation (1) and (2)
a + b = 15
a - b = 12
(b gets cancelled having opposite signs)
or, 2a = 27
or, a = 27÷2
a = 13.5
then, putting value of a in equation (1)
a+b=15
or, 13.5 + b=15
or, b=15-13.5
b=1.5
lastly,
4ab = 4×13.5×1.5
= 81
hope it helps!!
A painter mixed 5 pints of white paint, 3 pints of blue paint, and 4 pints of yellow paint. He wrote the ratio 3:12. Which statement BEST describes this ratio?
A. the ratio of the number of pints of white and yellow paint to the number of pints of blue paint
B. the ratio of the number of pints of blue paint to the number of pints of blue and yellow paint
C. the ratio of the number of pints of yellow paint needed to make 4 times as much blue paint
o
D. the ratio of the number of pints of blue paint to the total number of pints of paint
Answers
Answer:
The answer is D
Step-by-step explanation:
The ratio of the number is 3, and blue has 3.
The second number ratio has 12, and the total number of paints is 12
A boat can hold at most 1,000 pounds. If there is 300 pounds of equipment plus 25-pound boxes, what is the maximum number of boxes the ship can carry?
Answers
Answer:
26
Step-by-step explanation:
I think dont know
WILL GIVE Brainlist and thanks. Give reasons if possible
Help I’m actually stuck
Answers
Answer:
a is 64 b 125 c 36
Step-by-step
so you do 2 times 2 times 2 = 8 because there is a 3 so you multiply it by it self how ever many times the number above it says so after you do that its the same for the other number so they are both 8 so 8 times 8 is 64
when simplifying expressions and they are the same base is you
1. multiple - add the exponents keep the base
2. divide - subtract the exponents keep the base
so when you have 2^3• 2^3 you will add the exponents which gives you 2^6 and then you simplify that down to your single integer
b is 36
6^7/6^5 = 6^2 which simplifies down to 36
i hope this kind of helps that is how i learned it
Jaunice is redecorating her room. She wants to paint a design on a rectangular section of her wall that is at least 76.5 square feet. The height of the design will be 8.5 feet. What is the minimum length of the design Juanice will paint on the wall?
Answers
Answer: 9 feet
Step-by-step explanation: I = 9 feet ~ C
Charlie wants to order lunch for his friends. He'll order sandwiches and a $2 kid's meal for his little brother. Charlie has $32. How much can he spend on each sandwich if they are all the same price? "choose two answers" A) Inequality: 2x+6<32. B)Answer $5 or less. C) Inequality 6x+2 ≤32.D)Answer $13or less. E) Inequality 2x+6≤32. F) Inequality 6x+2≥32
Answers
So, obviously, since one of the prices is given, which is $2.00 for the kid's meal, then you need to subtract that from his $32.00 total to know what number you need to divide into the 6 sandwiches. So, so far you have $30.00. If you divide $30.00 by the 6 sandwiches, you will find out he could only spend $5.00 per sandwich. So basically, you got the expression of (32 -2) / 6 in order to find out that your answer is $5.00. Looking at you answer choices, I can see right away that D is correct. For the inequality, I can see that B would be the correct answer for this problem because he can't go over budget. So, your answers are B and D.
Hope this helps have a nice day and a brainlylist would be appreciated
Given three points A, B, and M, with M as the midpoint of AB, find each of the following. A(-5, -4) and M(1, -5). Find the coordinates of B.
Answers
Answer:
7,-6 maybe?
Step-by-step explanation:
Find three consecutive even integers such that their sum decreased by 34 is equal to the first and integer.Find the first integer.
Answers
Answer:
61
Step-by-step explanation:
Is the sequence an= 4 + 2n arithmetic?
Answers
Answer:
Sorry am not answer that because am desperate for points so am just going to get some points
WILL MARK YOU BRAINLIEST HURRY PLZZZ!! I think its C but im not sure
Answers
Answer:
B
Step-by-step explanation:
You can rule out all others. A is wrong because a triangle cannot be acute and obtuse at the same time. C is wrong because a polygon dosen't neccassarily need to be a triangle, for example, a polygon is a closed shape, so it could be a rectangle. It isn't D because there are obtuse triangles out there. So, the only one left is B.
The answer is B because if the triangle is a polygon then the conclusion would be that it is either acute or obtuse.
0.26 as a fraction? And 0.79 as a fraction?
Answers
Answer:
0.26=13/50 0.79=79/100
Step-by-step explanation:
All decimals are over a number in the power of ten. If you say the decimals out loud you would say "26 hundredths " and "79 hundredths" so you place the decimals over 100 and then simplify.
Answer: 12/50 and 79/100
Nathalie has some quarters, dimes, and nickels. The ratio of the number of quarters to the number of dimes to the number of nickels that she has is $9:3:1$. The total value of these coins is $18.20. How many coins does Nathalie have?
Answers
Answer:
the answer is 91
Step-by-step explanation:
One group of 9 quarters, 3 dimes, and 1 nickel has the value of $9 \times 25 + 3 times 10 + 5=26 cents or 2.60 in total.
Since the coins she has are in this same ratio 9:3:1, we can split her coins up into groups of 9 quarters, 3 dimes, and 1 nickel, with each group having a value of 2.60
Because the total value of her coins is 18.20and 18.20\2.60=7, she has 7 of these groups of coins.
Each of these group contains 13 coins, so she has 7 times 13 = 91 coins in total.
Each of these group contains 13 coins, so she has total 91 coins.
What are nickles, dimes, quarters and cents?A dollar is further divided into some majorly used parts as:
A cent = 100th part of a dollar = $1/100 = $0.01
A nickle= 20th part of a dollar = $1/20 = $0.05
A dime = 10th part of a dollar = $1/10 = $0.10
A quarter = 4th part of a dollar = $1/4 = $0.25
One group of nine quarters, 3 dimes, and 1 nickel has the value of $9
25 + 3 times 10 + 5=26 cents or 2.60 in total.
Since the coins Nathalie has are in this same ratio 9:3:1, thus we can split her coins up into groups of 9 quarters, 3 dimes, and 1 nickel, with each group having a value of 2.60
Due to the total value of her coins is 18.20
18.20/2.60=7,
Hence, she has 7 of these groups of coins.
Each of these group contains 13 coins, so she has total ;
7 x 13 = 91 coins
Learn more about partition of dollars here:
https://brainly.com/question/27187336
#SPJ2
Explain how you would solve the equation -7 + x = 12 using the properties of equality. (Site 1)
Answers
Given problem:
Solve using the property of equality;
-7 + x = 12
The properties of equality are;
Addition. Definition. If x = y, then x + c = y + c. ...
Subtraction. Definition. If x = y, then x – c = y – c. ...
Multiplication. Definition. If x = y, then xc = yc. ...
Division. Definition. If x = y and c is not equal to 0, then x / c = y / c
Now;
- 7 + x = 12;
base on the properties of equality, to eliminate -7, add +7 to both sides;
-7 + 7 + x = 12 + 7
x = 19
Based on the properties of equality, the solution is 19
Please help me out with these 2 questions! Legit answers only please!
Answers
Answer:
1.) 12 hours 2.) She made a multiplying error in the table.
Step-by-step explanation:
1.)
First, let's find the slope of this equation:
m = 135 - 81 / 5 - 3
m = 54/2
m = 27
Therefore, the equation should be y = 27x.
Now we substitute 324 for y and solve for x:
324 = 27x
12 = x (Divided 27 on both sides.)
Therefore, someone would have to work 12 hours in order to earn $324.
2.)
For this problem, it appears Amanda has found the correct equation for her recipe. When taking a look at the table, however, it seems as though she has made a multiplying error.
Which procedure correctly simplifies the expression? ( 4 x − 3 ) − 2 ( x + 5 ) A. Step 1: 4 x − 2 x − 3 + 5 Step 2: 2 x + 2 B. Step 1: 4 x − 3 − 2 x − 5 Step 2: 2 x − 8 C. Step 1: 4 x − 3 − 2 x − 10 Step 2: 2 x − 13 D. Step 1: 4 x − 3 + 2 x + 10 Step 2: 6 x + 7
Answers
Answer:
Step 1: 4 x − 3 − 2 x − 10
Step 2: 2 x − 13
Step-by-step explanation:
Given the expression;
(4 x − 3) − 2 (x + 5)
The following steps/ procedure are to be taken when simplifying the expression.
open the parenthesis
(4 x − 3) − 2 (x + 5)
= 4x-3 -2(x)-2(5)
= 4x-3-2x-10
collect the like terms
= 4x-2x-3-10
simplify the resulting expression
= 2x-13
Hence the procedure that correctly simplifies the expression are:
Step 1: 4 x − 3 − 2 x − 10
Step 2: 2 x − 13
A ladder is leaning against a house so that the top of the ladder is 12 feet above the ground. The angle the ladder makes with the ground is 51°. How long is the ladder?
12•sin51°
12/cos51°
12•cos51°
12/sin51°
None of these
Answers
Answer:
12/sin5°
Step-by-step explanation:
This angle can be calculated using the law of sine:
sin(angle)=opposite cathete/hypothenuse
sin(angle)=wall/ladder
In this exercise we want to calculate the length of the hypotenuse (ladder), so the equation is changed afterwards.
sin(angle)=wall/ladder
sin(angle)*ladder=wall
ladder=wall/sin(angle)
Now the given values are used:
ladder=wall/sin(angle)
ladder=12ft/cos(51°)
Landrie is selling bracelets and earrings to make money for a SUP (Standup Paddle Board) has a goal to earn $500. She plans on selling the bracelets for $2 and the earrings for $3. If she has the materials to make a total of 190 items, how many of each item must she make to accomplish her earning goals?
Answers
Answer:
120 earrings and 70
Step-by-step explanation:
Answer:120,70
Step-by-step explanation:
120 and 70
