Ratios express the relationship between two or more quantities, they can be expressed in different forms such as 6:12, 42:12 and 3:1, 10:10, 100:10, and 10:1, 24:36 and 2:3.
1. 6 Weeks to 12 days:
6:12 (using the same unit of measurement, weeks)42:12 (converting weeks to days, 6 weeks x 7 days/week = 42 days)3:1 (simplifying the ratio to its simplest form)2. 10 decimeters to 10 centimetres:
10:10 (using the same unit of measurement, decimeters)100:10 (converting decimeters to centimeters, 10 decimeters x 10 centimeters/decimeter = 100 centimeters)10:1 (simplifying the ratio to its simplest form)3. 4 days to 36 hours:
4:36 (using the same unit of measurement, days)24:36 (converting days to hours, 4 days x 24 hours/day = 96 hours)2:3 (simplifying the ratio to its simplest form)4. 4 months to 8 weeks:
4:8 (using the same unit of measurement, months)16:8 (converting months to weeks, 4 months x 4 weeks/month = 16 weeks)2:1 (simplifying the ratio to its simplest form)5. 30 seconds to 6 minutes:
30:6 (using the same unit of measurement, seconds)180:6 (converting seconds to minutes, 30 seconds x 6 minutes/60 seconds = 0.5 minutes)30:1 (simplifying the ratio to its simplest form)6. 24 girls to 16 boys:
24:16 (using the same unit of measurement, girls and boys)3:2 (simplifying the ratio to its simplest form)7. 12 mangoes to 36 fruits:
12:36 (using the same unit of measurement, mangoes and fruits)1:3 (simplifying the ratio to its simplest form)8. 2 years to 36 months:
2:36 (using the same unit of measurement, years and months)6:36 (converting years to months, 2 years x 12 months/year = 24 months)1:6 (simplifying the ratio to its simplest form)9. 45 points to 9 games:
45:9 (using the same unit of measurement, points and games)5:1 (simplifying the ratio to its simplest form)10. 468 students for 9 classrooms:
468:9 (using the same unit of measurement, students and classrooms)52:1 (simplifying the ratio to its simplest form)To learn more about the ratio, visit:
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What is the answer to inequality?
The direction of inequality is reversed when you multiply or divide both sides by a negative value.
When expressions are compared using the operators "less than" (), "less than or equal to" (=), "greater than" (>), or "greater than or equal to" (>=), an inequality is created.
Example- x + 3 <= 10
A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not.
The solution set of an inequality is the set of all solutions.
The solution set of example 1 is the set of all x <= 7. In interval notation, this set is (-inf, 7], where we use inf to stand for infinity.
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Item 9
Use the table to write a proportion. Game 1 6 penelties 16 minutes game 2 8 penelties m minutes how many minutes and what is a proportion
The value of the minutes in the game 2 is 3 and the proportion is 8/3.
As per the question,
Game 1 has, 6 penalties in 16 minutes and Game 2 has 8 penalties in m minutes.
Now, we have to form a proportion,
A proportion is a fractional relation between any two quantities.
So, if we say that the penalties in every game are in proportion, we write a proportion of penalties per minute.
6/16 = 8/m
m = 6x8/16
m = 3
So, the penalties in the game 2 are 3 and the proportion is 8/3.
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Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2012?
Answer:
503634
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r) n
FV = Future value
P = Present value
R = interest rate
N = number of years
200,000(1.08)^12
Mhanifa please help! This is due soon
Answer:
By using the Pythagorean theorem, the sides form a right triangle:
36^2 + 15^2 = 39^2
I need help not bad like ASAP but need help
help me please it’s simple :( thank u
I WILL GIVE BRAILIEST PLEASE HELP
Answer:
$3.49 for the muffin, and $2.96 for the coffee
Step-by-step explanation:
(3.25)(1.075) = 3.49
(2.75)(1.075) = 2.96
How to find the factor to multiply by
1.075 = 1+.075, 7.5% = 7.5/100 = .075
2. Answer: $0.45
Explanation:
2.75x.075=.24375
3.25x.075=.20625
.24375+.20625=0.45
3. Answer: $91.80
Explanation:
85x0.08=6.80
6.80+85=91.80
4. Answer: $728.75
Explanation:
687.50x.06=41.25
41.25+687.50
5. Answer: $17.28
Explanation:
216x.08=17.28
6. Answer: $0.99
Explanation:
8.5x0.06=0.51
0.51+8.50=9.01
10-9.01=0.99
Eva gets £42 a month for her allowance. Out of this, for every £5 she spends, she saves £1 how much money does she spend in a month
Answer:
Eva spends £35 in a month.
Step-by-step explanation:
We know that Eva gets £42 a month for her allowance and for every £5 she spends, she saves £1.
We are looking to find out how much money does she spend in a month.
To calculate this, we can use the following formula:
Spent money = Allowance - (Allowance / (5 + 1))
Plugging in the known values:
Spent money = 42 - (42 / (5 + 1))
Spent money = 42 - (42 / 6)
Spent money = 42 - 7
Spent money = 35
So, Eva spends £35 in a month.
By some estimates, about 30% of all males have a particular defect related to their eyes. How would you assign random numbers to conduct a simulation based on this
statistic?
Answer:
related to their eyes. How would you assign random numbers to conduct a simulation based on this
Select the interval where the graph h is decreasing.
Answer: A
Step-by-step explanation:
Based on the graph, we know that it is decreasing if it is going down from left to right.
A: correct
Looking at choice A, it says the interval is from -4<x<-3. This means we have to find x=-4 and x=-3. On the graph, that interval is going down from left to right, so it is decreasing.
B: incorrect
Looking at choice B, it says the interval is from -2<x<0. This means we have to find x=-2 and x=0. On the graph, that interval is going up from left to right, so it is increasing.
C: incorrect
Looking at choice C, it says the interval is from 0<x<2. This means we have to find x=0 and x=2. On the graph, that interval is going up from left to right, so it is increasing.
D: incorrect
Since we have identified A as decreasing, then none of the above can't be the answer.
Therefore, A is the correct answer.
can someone please help me with this math problem! thank you! :)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The sides marked on the triangle are adjacent to and opposite the given angle. The mnemonic SOH CAH TOA is intended to remind you which trig functions relate which sides. The one applicable here is TOA:
Tan = Opposite/Adjacent
Using the values on the diagram, we have ...
tan(65°) = 18/y
Multiplying by y/tan(65°) gives ...
y = 18/tan(65°)
y ≈ 8.3935 ≈ 8.4
A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in:5hrs
help
multiple 5x 3 3/4 then change to an improper fraction
Circumference question
1. Suppose a bottle of Buckley's has a radius of 2cm. You need to
create a label for this product. What is the length of this label?
2. Assumes the company uses 22cm x 12cm boxes for delivery to stores. How many vials will be in each box?
suppose the price of each vial is $5.00. What is the cost of a box?
12.57 cm is the length of the label on bottle.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that a bottle of Buckley's has a radius of 2cm
You need to create a label for this product
We need to find the length of this label.
Means we need to find the circumference of the bottle.
The formula for circumference is
C=2πr
Given radius is 2cm
C=2×3.14×2
C=12.57 cm
Hence, 12.57 cm is the length of the label on bottle.
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Can some help me with my delta math I’m failing my math class
Answer:
Same
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
Which is equal to the cosine of
Answer:
The sine of the opposite angle
Steven is training for a race. He can currently run 1 mile in 7 minutes and wants to improve his time by 10 seconds each week until he can run one mile in 5 minutes. Which equation should Steven use to calculate the number of weeks (w) it will take him to reach his goal time of 5 minutes?
a) 7 - 10w = 5
b) 10w + 7 = 5
c) 10w - 7(60) = 5(60)
d) 7(60) - 10w = 5(60)
For Both Problems, solve for x. Show your work and explain your thinking.
We know that the inside angle of a triangle is 180 so 180 takeaway 46+86=
48 and 48/6=8
so the answer is 8
GOOD LUCK IN BRAINLY!
Answer:
x = 12°
Step-by-step explanation:
46° + 86° + 4x = 180°
132° + 4x = 180°
4x = 48°
x = 12°
Is 9x2 42x 49 a perfect square trinomial?
No, 9x2 42x 49 is not a perfect square trinomial.
What is perfect squares?Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."
No, 9x2 42x 49 is not a perfect square trinomial. A perfect square trinomial is a polynomial of the form a2 + 2ab + b2,
where a and b are numbers or variables.
9x2 42x 49 does not fit this pattern, as it does not involve two terms whose sum is multiplied by itself.
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22. The table shows the number of students
going on a field trip. One chaperone is
needed for every 12 students.
Fifth grade students 310
Sixth grade students 305
Seventh grade students 225
Write two equations with variables that you can use to find a number of chaperones needed
How many chaperones are needed?
Answer:
Step-by-step explanation: i'd say jus divide
At a yard sale,Dan bought a used lawnmower for $60. that was 30% of what the mower cost when it was new. What was the original price of the lawnmower?
Answer:
30/100 X $60= $18.
The original price will be $60 + $18 = $78.
Pls help quickly. Calculate the bearing of Y from
Z.
N
X
135°
z+
105°
Z
Y
Not draw
The bearing of point Y from point Z is 30 degrees.
What is the bearing of a point?
The bearing of a point is the angle measured in degrees clockwise from a reference direction (usually north). To find the bearing of point Y from point Z, we need to determine the angle between the line connecting point Z to point Y and the reference direction.
we know that the bearing of point X from point Z is 135 degrees, and the bearing of point X from point Y is 105 degrees.
we can use the following mathematical relationship to find the bearing of point Y from point Z:
Bearing of Y from Z = (Bearing of X from Z) - (Bearing of X from Y)
Substituting the values we know:
Bearing of Y from Z = 135 - 105 = 30 degrees
Hence, the bearing of point Y from point Z is 30 degrees.
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The hexagon below has been reduced by a scale factor of One-third.
What is the area of the reduced hexagon?
8 inches squared
12 inches squared
24 inches squared
36 inches squared
Answer:
8
Step-by-step explanation:
PLS PLS OH YES PLS JUST HELP YES I NEED HELP PLSSSSS HELP QUICKLY PLS I GIVE BRAINLIEST I RLLY DO JUST PLS I AM YES PLS BRAINLIEST WILL BE GIVEN PLS OH PLS PEOPLE I NEED HELP FAST OH PLS NOW
Answer:
Vaporization
Step-by-step explanation:
The function f is defined by f(x) = mx + b, where m and b are constants. If f(0) = 18 and f(1) = 20, what is the
value of m?
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol.
What are 3 examples of a constant?A few more constant examples are :
The number of days in a week represents a constant.
In the expression 5x + 10, the constant term is 10.In 2a, 2 is a constant.In -7mn, -7 is a constant.In 3x, 3 is constant.A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.There are four major constants that appear within mathematical calculations. These math constants are used in a whole variety of equations and formulae and are repeatedly seen in a variety of areas.The easiest way we can find a constant term in math is to look first for stand-alone numbers, and then for coefficients and variables that can be solved for. A variable cannot be solved for and return only one value if it has an exponent, such as x^2.A function is called no constant if it takes more than one value (if there is more than one element in its range).Substitute:
m*o+b=18
m+b=20
Apply Zero Property of Multiplication:
b=18
m+b=20
Substitute into one of the equations:m+18=20
Rearrange unknown terms to the left side of the equation:m=20-18
Calculate the sum or difference:m=2
The solution of the system is:
b=18
m=2
The answer is b=18 m=2
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please help me on this question. i can give brainliest!!
Answer:
The correct answers are A D E
Step-by-step explanation:
Help me please (no links please)
a) This part is already complete I think..
b) This is a cuboid and lateral surface area of cuboid is: 2(lb +bh + hl)
= 2( 10 × 3 + 3 × 7 + 7 × 10)
= 2(30 + 21 + 70)
= 2 × 121 = 242 cm²
Now, the area of top & bottom: lb
= 2 × 10 × 3
= 60 cm²
Neglecting the top & bottom surface area of cuboid:
= 242 - 60
= 180 cm²
c) The total surface area us 242.. I have already done that part above...
__________________________
If i have done something wrong.. please lemme know :)
What is the value of the expression 9 + ( fraction 1 over 2 )4 ⋅ 48? (1 point)
A. 12
B. 15
C. 17
D. 18
Answer:
A. 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
9 + (1/2)⁴ · 48
Step 2: Evaluate
Exponents: 9 + 1/16 · 48Multiply: 9 + 3Add: 12A quadratic equation is shown below: x2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers? (5 points) Subtract 5 from both sides of the equation Subtract 3 from both sides of the equation Add 5 to both sides of the equation Add 3 to both sides of the equation
Answer:
Add 3 to both sides of the equation
Solution:
The first step is to basically realize that all it's asking you to do is to find a way to make the expression on the left ([tex]x^2 - 8x + 13[/tex]) into an expression that is a perfect square. So what number should you add to both sides such that [tex]x^2 - 8x + (13 + j)[/tex] can be factored into [tex](x-p)^2[/tex] ? Well, we can approach it like this:
Since [tex](x-p)^2[/tex] can be turned into [tex]x^2 -2px + p^2[/tex], and our original form was [tex]x^2 - 8x + (13 + j)[/tex], we quickly realize that [tex]-2px = -8x[/tex]. From there, we can easily tell that [tex]p = 4[/tex]
Plug this into our last value [tex]p^2[/tex] to get 16. Therefore, if we compare this with our original equation again [tex]x^2 - 8x + (13 + j)[/tex], we notice that 13 + j = 16.
Thus, j = 3 for the last answer.
Add 3 to both sides of the equation.
Note: With more practice, you will quickly gain enough intuition to notice that [tex]x^2 - 8x + 13[/tex] is very close to [tex]x^2 - 8x + 16[/tex] which can be factored into [tex](x-4)^2[/tex]. But for now, the solution above will suffice. I hope this helps :))
11 of 5011 of 50 Questions Question 11 Three classrooms are trying to raise $1,200.00 for charity. Mrs. LeBlanc's class has raised 50% of the total needed. Mr. Patel's class has raised $235.14. Ms. Warner's class has raised one-third as much as Mrs. LeBlanc's class. How much more money is needed to reach the goal of $1,200.00
$164.86 more is needed to reach the goal of $1,200.00.
First, we need to find out how much money Mrs LeBlanc's class has raised since they have raised 50% of the total needed. We can do this by multiplying the total needed by 50%:
$1,200.00 * 50% = $600.00
Next, we need to find out how much money Ms Warner's class has raised since they have raised one-third as much as Mrs LeBlanc's class. We can do this by multiplying the amount raised by Mrs LeBlanc's class by one-third:
$600.00 * 1/3 = $200.00
Now we can add up the amount raised by all three classes to see how much has been raised in total:
$600.00 (Mrs. LeBlanc's class) + $235.14 (Mr. Patel's class) + $200.00 (Ms. Warner's class) = $1035.14
Finally, we can subtract the total amount raised from the goal amount to find out how much more is needed:
$1,200.00 - $1,035.14 = $164.86
So $164.86 more is needed to reach the goal of $1,200.00.
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Part 1
Hi I really need help with some of these questions please I'm on a tight schedule with getting the rest of my work done so please if anyone can please help me I'm giving 45 points away please help me.
Also on the ones where you need to show the work please do if you can
I will post another part or these question and it will be worth 30 points
Answer:
1) c. AD || CE
2) solve them both first:
3y + 1 = 6x + 4 2y + 1 = x - 9
3y = 6x + 3 2y = x - 10
y = 2x + 1 . y = 1/2x - 5
Parallel lines should have the same slope and they are definitely not the same line, so both A and C are eliminated
Perpendicular slopes should be negative reciprocals of each other. If they were negative reciprocals one slope would be either -2 or -1/2, which means that they're not perpendicular either.
The answer is D, neither parallel nor perpendicular.
3) to find the midpoint of a line, add the x coordinates and divide by 2 and add the y coordinates and divide by 2.
[tex](\frac{-6+1}{2},\frac{1+8}{2} )\\\\=(\frac{-5}{2},\frac{9}{2} )\\\\=(-2\frac{1}{2} ,4\frac{1}{2} )[/tex]
The answer is D.
4) d. GB || HC
5) d. 345.6
[tex]A=2\pi rh\\\\A=2\pi (5)(11)\\\\A=2\pi (55)[/tex]
A ≈ 345.58 ≈ 345.6
6) first change the other equation (4x + 2y = 10) to slope-intercept form:
2y = -4x + 10
y = -2x + 5
because the line must be parallel, it has to have a slope = -2
That automatically eliminates all answers except for D, so you don't even have to do the work to make the other equation.
7) best bet is a. EH and BC are coplanar, but I'm really not sure
8) d. DB and HF
9) first change the other equation (4x - 6y = 15) to slope-intercept form:
-6y = -4x + 15
y = 2/3x - 5/2
slope of the perpendicular line should be -3/2
y = -3/2x + a
9 = -3/2(6) + a
9 = -9 + a
a = 18
y = -3/2x + 18
which is the same as y - 9 = -3/2(x - 6), which is A