Answer:
$96
Step-by-step explanation:
Micheal's money = x
John's money = y
Ian's money = z
x + 18 = y
2/3x - 2 = z
x + y + z = $272
rearrange the equations we have:
2/3x = z + 2
x = 3/2(z + 2)
x = y - 18
Substitute y - 18 into x values:
3/2(z + 2) = y - 18
y - 18 + y + z = 272 --> 2y - 18 + z = 272
Solve for y:
Firstly rearrange
2y - 18 + z = 272 --> z = 272 + 18 - 2y, which simplifies to z = 290 - 2y
substitute into the formula:
3/2((290 - 2y) + 2) = y - 18
3/2(292 - 2y) = y - 18
438 - 3y = y - 18
4y = 456
y = $114
Substitute back into the formula to find z:
z = 290 - 2(114)
z = 290 - 228
z = $62
Put all of this back into one of the original formulas to find x:
x + y + z = 272
x + 114 + 62 = 272
x + 176 = 272
x = $96
Total amount = $272
Now, ATQ[tex] \tt \nrightarrow \: x + 18 + x + 2 - \frac{2}{3} x = 272[/tex]
[tex] \tt \nrightarrow \: 2x + 20- \frac{2}{3} x = 272[/tex]
[tex] \tt \nrightarrow \: 6x + 60 - 2x = 816[/tex]
[tex] \tt \nrightarrow \: 4x + 60 = 816[/tex]
[tex] \tt \nrightarrow \: 4x = 816 - 60[/tex]
[tex] \tt \nrightarrow \: 4x = 756[/tex]
[tex] \tt \nrightarrow \: x = 189[/tex]
➪ Thus, Michael has $189...~
Identify the percent in 12 is 50% of 24
Answer:
50 percent of 24 is 12. 3.
Step-by-step explanation:
50 percent *24
= (50/100)*24
= (50*24)/100
= 1200/100 = 12
Now we have: 50 percent of 24 = 12
Question: What is 50 percent of 24?
We need to determine 50% of 24 now and the procedure explaining it as such
Step 1: In the given case Output Value is 24.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 24 = 100%.
Step 4: In the Same way, x = 50%.
Step 5: On dividing the pair of simple equations we got the equation as under
24 = 100% (1).
x = 50% (2).
(24%)/(x%) = 100/50
Step 6: Reciprocal of both the sides results in the following equation
x%/24% = 50/100
Step 7: Simplifying the above obtained equation further will tell what is 50% of 24
x = 12%
Therefore, 50% of 24 is 12
Choose TWO correct answers from the 5 choices.
Need answer ASAP thank you!
please help with this as well please
Answer:
the answer is 28 feet
Step-by-step explanation:
hdhbsn
Write the fraction as a percent.
1/10
please help
Answer: the answer is 10%
Step-by-step explanation: 1/10. You have to get the denominator to 100 so, you would x10 the debonair. You do the same to the top and get 10/100. So, 10%
Answer:
10%
Step-by-step explanation:
So if 100% is one then what 100/10?
Determine if (3,2) is a solution to the equation y = -x + 1
Answer:
The left side 2 does not equal to the right side − 2 , which means that the given statement is false. False
Step-by-step explanation:
Hopefully this helps :)
For problems 8-10, evaluate the expression if a = 4, b = 6, and c = 10.
Answer:
[8] 3
[9] 12
[10] 64
Step-by-step explanation:
[8] [tex]\frac{5(6)}{10}[/tex] = 3
[9] [tex]\frac{1}{2}(4)(6)[/tex] = 12
[10] [tex]4(6+10)=[/tex]64
[RevyBreeze]
Answer:
Hope this helps you..please follow + Mark me as brainlist
Can somebody please help me please please please asap?
Answer:
Step-by-step explanation:
Jonell has finished 20% of an art project that has taken him a total of 3 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
coins
Answer:
12 hours
Step-by-step explanation:
Hey, I am a student and I am taking algebra 1 regents . Can someone help me with my question below and explain how you got your answer? can you also let me know how to do ti-84 and ti nspire calc? I am using the ti nspire at school and ti-84 at home.
Here's the question :
On the main floor of the Kodak Hall at the Eastman Theater, the number of seats per row increases at a constant rate. Steven counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20?
Answer:
65
Step-by-step explanation:
31, 6 = 37 t3 rows and 6 seats so its going up 2 every row so you need 14 rows after row 6 so 14 x 2 + 37 = 65 seats
Common difference
(37-31)/(6-3)6/32Row 2 has 29 seats
Row 1 has 27 seats
First term =27Seats on row 20
27+19(2)27+3865Jack works at a party supply store. He sold 720 balloons in the last 16 days. What was his selling rate in balloons per day?
Answer:
he was selling balloons 45 / day
Step-by-step explanation:
sold 720 ballons in 16 days.
What was selling rate in balloons per day?-----------------------------------------
number of balloons ÷ number of days720 ÷ 1645 balloons/dayA cartographer is painting a spherical globe whose surface is 326. 7 sq. In. What is the maximum radius of the globe that the cartographer is painting? Use 3. 14 for π. 5. 1 in 4. 3 in 26. 0 in 13. 1 in.
Answer:
5.1 inches
Step-by-step explanation:
can someone help me please I didn't understand
Answer:
ok so
Step-by-step explanation:
you would go through the answers and determine the answer by trying to imagine those answers at the end of the problem and which ever one matches up will be the answer
PLEASE MARK ME AS BRAINLIEST
Brainy reward help me pls
Answer:
[tex]\sf \dfrac{2}{3} \ is \ the \ change \ per \ minute \ in \ the \ amount \ of \ water.[/tex]
explanation:
[tex]\sf unit \ rate : \dfrac{y_1-y}{x_1-x}[/tex]
[tex]\sf unit \ rate : \dfrac{7-5}{3-0}[/tex]
[tex]\sf unit \ rate : \dfrac{2}{3}[/tex]
Answer:
-2/3 gallons/min
Step-by-step explanation:
let x = time in minutes
let y = volume of water in gallons
when x = 0, y = 7
when x = 3, y = 5
[tex]\mathsf{rate \ of \ change \ = \dfrac{change \ in \ y}{change \ in \ x}=\dfrac{7-5}{0-3}=-\dfrac23 \ gallons/min}[/tex]
Kevin bought a package of 24 colored pencils for his art class. The package cost $23.28. how much did he pay for each pencil?
Divide total price by number of pencils:
23.28 / 24 = $0.97 per pencil
Please find α/beta. EXPLAIN all the steps and use a trigonometric function.(give the value, explain and show all steps with a sentence for brainiest) ty
Answer: I don't know
Step-by-step explanation: Use the fact that 180° is equivalent to \pi radians as a conversion factor: 1=\frac{\pi \, \text{rad}}{180^{\circ}}=\frac{180^{\circ}}{\pi \, \text{rad}}.
225^{\circ}=225^{\circ}·\frac{\pi }{180^{\circ}}=\frac{5\pi }{4} rad
\frac{5\pi }{3} rad = \frac{5\pi }{3}·\frac{180^{\circ}}{\pi }=300^{\circ}
I know this is probably not right sorry if I wasted your time cause my friend told me this.
2. Which of the following is the correct value of ? Show your reasoning.
Answer:
b
Step-by-step explanation:
0.22x4
= 0.22+0.22+0.22+0.22
=0.88
Or
0.22*100=22
22*4=88
88:100=0.88
If 1 in every 4 pickles contains the word DILL, what
percent of the pickles should be winners?
Answer:
25%
-step explanation:
Need help finding the coordinate rule
Answer:
(x,y) --> (x+5, y)
Step-by-step explanation:
You are moving the image 5 units to the right so you would add 5 to each x coordinate.
Pls help!! Find the average rate of change of the function given over the interval
We need slope
(0,2)(-4,3)Slope:-
[tex]\\ \rm\rightarrowtail m=\dfrac{3-2}{-4-0}[/tex]
[tex]\\ \rm\rightarrowtail m=\dfrac{1}{-4}[/tex]
A triangle has two angles namely 130 degrees and 10 degrees. What is the number of degrees of the third angle?
Step-by-step explanation:
10+130+x=180
140+x=180
x=40
How many roots does the following parabola have?
Answer:
I think 2
Step-by-step explanation:
I think 2 tell me if I'm wrong
Hi can you please help me out
Answer: i thinks its C
Step-by-step explanation:
if a length of a square is 3.2 cm square what is the perimeter and area
if one pound = rupees 135 and dollar =105 rupees then convert the pound 63 into Dollar
Answer:
Step-by-step explanation:
£63 = 135 × 63
= Rs . 8505
Rs . 8505 = 8505 / 105
= $81
The diameter of a circle is 10 in .find the cirumference to the nearest tenth
Answer:
C ≈ 31.4 in
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
C = π × 10 ≈ 31.4 in ( to the nearest tenth )
Find each missing measure. Round to the nearest tenth if necessary
Answer:
1 =68
2=68
3=125
Step-by-step explanation:
1.all interior angles adds up to 180:
180-39-73=68
2. opposite angles are equal so angles 1 and 2 are opposite therefore they are equal.
3. the sum of angles in a quadrilateral adds up to 360. so 360 - 90 - 68 -77= 125
A principal becomes an amount of 1080 in one year at the rate 8% per annum. What is the principal ?
Question :-
A Principal becomes an Amount of Rs. 1080 in 1 year at the Rate 8 % per annum . What is the Principal ?Answer :-
Principal is Rs. 135 .Explanation :-
As per the provided information in the given question, we have been given that the Amount is Rs. 1080 , Time Period is given 1 year , Rate of Interest is 8 % . And, we have been asked to calculate the Principal .
For calculating the Principal , we will use the Formula :-
[tex] \bigstar \: \: \boxed{ \sf{ \: Simple \: Interest \: = \: \dfrac{P \times R \times T}{100} \: }} \\ [/tex]
Where ,
P denotes to the PrincipalR denotes to the Rate of InterestT denotes to the Time PeriodTherefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \sf{Simple \: Interest \: = \: \dfrac{Principal \: \times \: Rate \: \times \: Time}{100} } \\ [/tex]
[tex] \longmapsto \: \: \sf{1080 \: = \: \dfrac{Principal \: \times \: 8 \: \times \: 1}{100} } \\ [/tex]
[tex] \longmapsto \: \: \sf{1080 \: = \: \dfrac{Principal \: \times \: 8 }{100} } \\ [/tex]
[tex] \longmapsto \: \: \sf{Principal \: = \: \dfrac{1080 }{8 \times 1} } \\ [/tex]
[tex] \longmapsto \: \: \sf{Principal \: = \: \dfrac{1080 }{8} } \\ [/tex]
[tex] \longmapsto \: \: \textbf {\textsf {Principal \: = \: Rs. \: 135 }} \\ [/tex]
[tex] \underline {\rule {200pt} {4pt}} [/tex]
The principal amount of 1080 in one year at the rate of 8% per annum is 135.
What is the principal rate of the Simple Interest?Simple interest is the credit of income associated with a deposit or an investment.
The formula for calculating the simple interest is:
[tex]\mathbf{S.I = \dfrac{P \times R \times T}{100}}[/tex]
where:
S.I = simple interestP = principal R = rate T = timeMaking the principal the subject from the simple interest, we have:
[tex]\mathbf{P = \dfrac{100 \times S.I}{R \times T}}[/tex]
[tex]\mathbf{P = \dfrac{1080}{8 \times 1}}[/tex]
P = 135
Therefore, we can conclude that the principal amount of 1080 in one year at the rate of 8% per annum is 135.
Learn more about the principal amount of an investment here:
https://brainly.com/question/25545513
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A square has a side length of 6 inches. Which of the following is the length of its diagonal in inches?
(1.) 12
(2.) 6/3
(3.) 20
(4.) 10/2
Answer:
8.49inches(incorrect options)
Step-by-step explanation:
the diagonal in a square divided the square into 2 and equal right- angled triangles.
to find the length of the diagonal of the square pick one of the triangles and find the length using pythagoras theorem.
having sketch a diagram. the length of the diagonal becomes the hypotenuse and the the two sides of the square becomes the opposite and adjacent side.
hyp²=opp²+adj²
L²=6²+6²
L²=72
L=8.49inches
2 ( 3x + 2 ) = 2x + 28
Answer: x = 6
Step-by-step explanation:
1. Distribute
2. Subtract 4 from both sides of the equation
3. Simplify
4. Subtract 2x from both sides of the equation
5. Simplify
6. Divide both sides of the equation by the same term
7. Simplify
Hello, the answer would be X = 6
What is the decimal equivalent of 1/3?
A. 3.1
B. 1.3
_
C. 0.3
D. 0.3
Answer: C. 0.3
Step-by-step explanation:
To convert 1/3 so you can write it as a decimal, simply divide the numerator by the denominator, like this:
= 1/3
= 1 ÷ 3
≈ 0.3333333
Therefore, the solution to 1/3 as a decimal is as follows:
1/3 ≈ 0.3333333
Answer:
0.3
Step-by-step explanation:
Use “Bus stop” long division.
1/3 is the same as saying 1÷3, or “how many times does 3 go into 1”
3|1.000
How many times does 3 go into 1? Zero remainder one. We take the one over into the next column. So now we have:
3|0.1000
0
So, how many 3s go into 10? Three with one remaining. We take the one into the next column again.
3|0.0100
0.3
How many 3s go into 10? 3 again, remainder 1.
3|0.0010
0.33
This process continues until you end up with no remainder - but that doesn't ever happen in the decimal expansion of 1/3,
1/3=0.333… with recurring (infinitely repeating) 3s, and that's why we tend to prefer factions where we can use them.
1/3=0.3
I HOPE THIS HELPED YOU.