Answer:
a) 3/5, 60%
b) 1/15, 0.07
c) 9:1, The ratio means that Jack had spent 9 times more money on shoes than on music, 9/1
Step-by-step explanation:
a) The ratio would be 45:75, simplifying that would be 3/5. Now, 3 divided by 5 is .6, which would be 60%.
b) This ratio would be 5:75, simplifying that would be 1/15. 1 divided by 15 is 0.0666666. Rounding it to the nearest hundreth would get you 0.07
c) The ratio of shoes money and music money would be 9:1. You can find this by making the denominators of each of the fractions the same, so 3/5 multiplied by 3 gets you 9/15. Now, you can easily compare them.
simplify by using order of operations
3x-4+20=55
Answer:
x= 13
Step-by-step explanation:
3x-4+20= 55
combine like terms:
3x+16= 55
subtract 16 from both sides:
3x = 39
divide 3 to both sides:
x= 13
Least common denominator of 9/4 and 5/6
Answer:
12
Step-by-step explanation:
We want the smallest possible number that can be divided by both 4 and 6 with no remainders.
12 is the least common multiple (LCM) of both 4 and 6, meaning it's the smallest number that 4 and 6 both divide into evenly.
24 could be used as a common denominator, but it isn't the least common denominator. It has more prime factors than is necessary to be the LCD.
12, when its prime factorization is written out, is 2² • 3.
24, when its prime factorization is written out, is 2³ • 3.
9/4 → (9•3)/(4•3) → 27/12
5/6 → (5•2)/(6•2) → 10/12
Can someone help me out here please.
Answer:
im sorry but i have no clue what this is:(
Step-by-step explanation:
If a certain number is decreased by 9, the results is 24 . What is the number?
Answer:
the number is 33
Step-by-step explanation:
x-9=24
x=33
The number is 33
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be x
The number when decreased by 9 , the result is 24
So , x - 9 = 24
Adding 9 on both sides , we get
x = 33
Hence , the number is 33
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Farah's brother is 7 years less than twice Farah's age, f. The sum of Farah's age and
her brother's age is 41. Which equation represents this relationship?
Answer:
f+(2f-7)=41
Step-by-step explanation:
Farah's age is represented by the first f and her brother's age is represented by the (2f-7) and the sum of their ages is 41, therefore this is the correct answer
i need help right aways plz help
Consider the division expression LaTeX: 7\frac{1}{2}\div27 1 2 ÷ 2. Select all multiplication equations that correspond to this division expression.
Answer:
2 x ? = 7 1/2 and ? x 2 = 7 1/2
Step-by-step explanation:
This is the answer because it didn't show the answer so all you have to figure out is the multiplication problem that goes with the division problem. So 2 x ? = 7 1/2 and ? x 2 = 7 1/2 you don't have to include the answer all you have to include is where the answer will do if you DID have the answer. These two are correct because the multiplication number can go in any order.
I know this might not be the best step-by-step explanation ever but I truly tried but the answer is correct.
Tell whether the triangle with the given side lengths is a right triangle.
1. 32 m, 56 m, 64 m
1. Add file
What is the area of major sector DFE?
Answer:
B. 171.74 cm²
Step-by-step explanation:
Area of a sector = [tex] \frac{\theta}{360} \times \pi r^2 [/tex].
Where,
[tex] \theta = 260 [/tex]
radius (r) = 8.7 cm
Plug in the values into the formula
Area of sector = [tex] \frac{260}{360} \times \pi 8.7^2 [/tex]
Area of sector = [tex] \frac{260 \times \pi 75.69}{360} [/tex]
Area of sector = 171.74 cm² (approximated)
Answer:
B. 171.69 cm²
Step-by-step explanation:
Write 8 1/3 as a proper fraction
Answer:
divde 81/3 to find 27
Step-by-step explanation:
The mixed fraction 8( 1/3 ) in the form of the proper fraction will be ( 25 / 3 ).
What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction can also be an ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
A mixed fraction is one that has both a quotient and a remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder.
Given mixed fraction is 8 ( 1 / 3 ). The fraction will be solved by multiplying the whole number with the denominator and adding the numerator.
8 ( 1/3 ) = ( 24 + 1 ) / 3
8 ( 1/3 ) = ( 25 ) / 3
Therefore, the mixed fraction 8( 1/3 ) in the form of the proper fraction will be ( 25 / 3 ).
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Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.
Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.
Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.
Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.
Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.
Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.
Answer:
Part A:
Option A is a linear function
Part B:
a(t) = t × 100 + 1000
Part C:
Option B is an exponential function
Part D
[tex]b(t) = 1000 \times (1 + 0.1)^t[/tex]
Part E:
There will be a significant difference in the value of Bridget's investment after 20 yeas if she uses Option A over Option B
Step-by-step explanation:
The given parameters are;
The amount Bridgette has to invest = $1,000
The value of each investment option is given as follows;
Number of years [tex]{}[/tex] Option A [tex]{}[/tex] Option B
1 [tex]{}[/tex] 1100 1100
2 [tex]{}[/tex] 1200 1210
3 [tex]{}[/tex] 1300 1331
Part A:
Given that the first difference between subsequent data values are 2 - 1 = 1 and 1200 - 1100 = 100, 3 - 2 = 1 and 1300 - 1200 = 100 both of which are constant, the type of function that would be best to describe option A is a linear function
Part B:
The function a(t) for Option A is given as follows;
The rate of change of the function amount with time is (1300 - 1200)/(3 - 2) = 100
Therefore, comparing with the general form of a linear function, y = m·x + c, we have;
m = The rate of change of the function = 100
The y-intercept, the value of the amount a 0 time (the start of the investment) = c = 1000
The function in terms of t, a(t) = t × 100 + 1000
Part C:
The first difference of Option B are different but the first ratio given as follows;
1210/1100 = 1331/1210 = 1.1 = Constant which is the characteristics of an exponential variable
Therefore, the equation to describe the value of the investment in dollars, of Option B is an exponential function
Part D
We, have for an exponential function;
[tex]b(t) = 1000 \times (1 + r)^t[/tex]
When t = 1, we have;
[tex]b(1) = 1000 \times (1 + r)^1 = 1100[/tex]
∴ 1 + r = 1100/1000 = 1.1
r = 1.1 - 1 = 0.1
We check for t = 2, to get;
[tex]a(2) = 1000 \times (1 + 0.1)^2 = 1210[/tex]
We check for t = 3, to get;
[tex]b(3) = 1000 \times (1 + 0.1)^3 = 1331[/tex]
The function b(t) to describe the value of the investment in dollars, of Option B after t years is [tex]b(t) = 1000 \times (1 + 0.1)^t[/tex]
Part E:
The investment value after 20 years is given as follows;
For Option A, we have;
a(20) = 20 × 100 + 1000 = 3000
For Option B, we have;
[tex]b(20) = 1000 \times (1 + 0.1)^{20} \approx 6727.5[/tex]
Therefore, the difference in the investment value after 20 years for Option B and Option A is approximately $6727.5 - $3000 = $3727.5 which is significant.
Graph the line that passes through the points ( 0 , − 4) and (−5,2) and determine the equation of the line.
i am highly sorry but there is no graph for me to help you with on this site :(
but to help you the X line always comes first for example the (-5,2) the -5 would be on the X line. I really hope that this help. :)
In the student council election, Davina received 50 votes, Binh received 40 votes and Eden received 80 votes. What is the ratio of Binh’s votes to Davina’s votes in simplest form?
A
5 to 4
B
4 to 5
C
1 to 2
D
4 to 17
Answer:
4:5
Step-by-step explanation:
Binh's = 40
Davina's = 50
40:50 = 4:5
Suppose you have $10 and your brother has $54. If you decide to save $10 of your allowance each week and your brother decides to save $6 of his allowance each week, in how many weeks will you have the same amount of money?
Set up the problem in steps please
Answer: 11 weeks
Step-by-step explanation: 11 x 10 + 10 = $120 and 11 x 6 +54 = $120
I only need help with number 1 and 2
Answer:
1. 12
2. 8
Step-by-step explanation:
\PLEASE MARK BRAINLIEST IT WILL HELP SM
I WILL MARK BRAINLIEST IF HELP!!
Answer:
a 20 X 40 X x
b just a guess but 2 centimeters
c 1600 or 800 depending on what x is
Please help!
A.
B.
C.
D.
Answer: its b
Step-by-step explanation:
THE NUMERATOR OF A FRACTION IS GREATER THAN ITS DENOMINATOR BY 4. WHEN 5 IS ADDED TO BOTH THE NUMERATOR AND THE DENOMINATOR, THE FRACTION WILL BE EQUVALENT TO 5/4. FIND THE FRACTION. (STEP BY STEP PLZ)
answer is 15/11............
A local television station runs 2.5 minutes of commercials during every 30 minutes of programming. At this rate, how many minutes of commercials will run from 7:00 a.m. until 9:30 a.m.?
Answer:
12.5 minutes of commercials
Step-by-step explanation:
9:30 - 7:00 = 2 and a half hours on air = 150 minutes.
150 / 30 = 5
5 x 2.5 = 12.5
Answer:
92 minutes or 1 hour and 42 minutes
Step-by-step explanation:
What is the average of 37, 82, 63, and 58?
Answer:
60
Step-by-step explanation:
Add 37 82 63 and 58 to get 240 and divide by 4 to get the average.
Which is a simplified form of the expression 6(2t – 3) + 3(t + 5)?
A. 11t – 2
B. 12t – 8
C. 9t – 2
D. 15t – 3
Answer:
The answer is d I just got that one:)
Answer:
D
Step-by-step explanation:
find the missing length the triangles are similar
Answer:
13
Step-by-step explanation:
The triangle we need to find out one of the measurements for has one length of 11, the similar triangle has a length of 22.
22 divided by 2 is 11 there for 26 divided by 2 is 13.
Howard bought 3/5 pound of granola. He divided the
granola evenly among 4 friends. How much granola did
each friend get?
Answer:
Step-by-step explanation:
So because Howard wants to divide the granola evenly among all of his friends, we have to divide the amount of pounds he has by the number of friends he has.
(3/5) / 4
Dividing by four is the same as multiplying by the reciprocal of 4 which is 1/4.
So (3/5) * (1/4) is 3/20 which is .15 pounds
Can someone help??? PLEASE
Answer:
1) Measure angle QWT and TWX are complementary because their measures add up to 90 degrees.
2) Both measure angles add up to 90 degrees because they're complementary.
3) Angle QWT = 2x and angle TWX = x + 6, and since angles QWT + TWX = 90 then 2x + x + 6 = 90.
4) (Made up?:) Angle measure QWX = 90. The quarter-turn, or the small square, indicates that the angle is 90 degrees.
5) (?)
6) x = 28 because it fulfills the equation, 2x + x + 6 = 90, or 3x + 6 = 90. 90 - 6 is 84, and 84/3 is 28.
Please, tell me if I did anything wrong. I'll gladly edit it.
Answer:
Step-by-step explanation:
2). Definition of complementary angles;
3). Substitution+combine like terms;
4). 3x+ 6 - 6 = 90 - 6 Subtraction Property
5). 3x/3 = 84/3 Division Property
6). Q.E.D. ("that which was to be demonstrated")
pls help i will mark you as brainliest
Answer:
2.25x+2.50=9.25
3 games
Step-by-step explanation:
Answer:
The first one is 2.50+2.25x=9.25
The second one is 3 games
The formula c=5p+215 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to p, the number of people attending the party.
Solve for p
If Allies parents are willing to spend $300 for her party, how many people can attend? Show your work.
Answer:
17
Step-by-step explanation:
Since C represents the cost, and Allie's parents are willing to spend $300 for the party, our equation will now look like this:
300=5p+215
we are trying to find out how many people will able to attend
300=5p+215
-215 -215
---------------------
85 = 5p
divide by 5 on both sides to undo the multiplication (5p)
300=5p+215
-215 -215
---------------------
85 = 5p
÷5 = ÷5
--------------
17 = p
So, p (number of people attending) would be 17 :)
hope this helps!
How can it be done? Fill in the blank.
3,400 is______3,409*
Answer:
< or less than
what is 123x321 ill give brainliest
Answer:
39483
Hope This Helps!
what is the number that have 6 odd factors?
Answer:
840 has 6 odd factors
Step-by-step explanation:
-2x – 6y = -24
X-8y = -10
Answer:
{x,y}={31,4}
Step-by-step explanation:
x-8y = -1 x-6y = 7
Answer:
first we find the value of 'y' so
x-8y=-10+8y
x=-10+8y
-2(-10+8y)-6y=-24
20-16y-6y=-24
20-22y=-24-20
-22y=-44
y=2
then also we can find the value of 'x'
-2x-6y=-24
2x-6(2)=-24
2x-12= -24
2x= -24+12
x= -12