Answer:
Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?
First, we set up our general equation. Because y is directly proportional to x, we have:
y = cx
where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.
The next thing we do is plug our values for x and y into the equation so we can solve for c:
8 = (c)(5)
Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:
y = 1.6x
Now, we can plug x = 9 into the equation to find out what y equals:
y = (1.6)(9)
y = 14.4
So, our answer is 14.4
Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?
This time, our general equation is slightly more complicated because x is squared:
y = cx2
Like before, we solve for our constant:
32 = (c)(22)
32 = (c)(4)
We get c = 8:
y = 8x2
Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200
Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?
This time, because y is inversely proportional to x, our general equation is different:
xy = c
so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:
(2)(8) = c
So c = 16 and our equation is now:
xy = 16
Solving for y when x = 24 we get y = 16/24 = 2/3
Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?
As before, we set up our equation:
eq001
Since the square root of 36 is 6, it is easy to solve for c:
(6)(2) = c
We get c = 12 and our equation is now:
eq002
Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.
Step-by-step explanation:
Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?
First, we set up our general equation. Because y is directly proportional to x, we have:
y = cx
where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.
The next thing we do is plug our values for x and y into the equation so we can solve for c:
8 = (c)(5)
Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:
y = 1.6x
Now, we can plug x = 9 into the equation to find out what y equals:
y = (1.6)(9)
y = 14.4
So, our answer is 14.4
Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?
This time, our general equation is slightly more complicated because x is squared:
y = cx2
Like before, we solve for our constant:
32 = (c)(22)
32 = (c)(4)
We get c = 8:
y = 8x2
Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200
Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?
This time, because y is inversely proportional to x, our general equation is different:
xy = c
so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:
(2)(8) = c
So c = 16 and our equation is now:
xy = 16
Solving for y when x = 24 we get y = 16/24 = 2/3
Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?
As before, we set up our equation:
eq001
Since the square root of 36 is 6, it is easy to solve for c:
(6)(2) = c
We get c = 12 and our equation is now:
eq002
Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.
Answer:
y = 8
Step-by-step explanation:
because y is directly proportional to .√x
=> y = a√x
but when x = 100, y = 80
=> 80 = 10a
=> a = 8
=> y = 8√x
simplify 7x7⁴????????
Answer:
7power to 5
Step-by-step explanation:
good luck you're welcome
Answer:
16807
Step-by-step explanation:
7 x 7^4 = 7^1+4
= 7^1+4
1+4= 5 - 7^5
7^5 = 16807
BIG BRAIN KIDS ONLY
Given the relation {(11, 3), (-10, -7), (-7, 13), (-5, -2), (-9, -6)}, determine the domain.
A. {-10, -7, 5, 9, 11}
B. {-7, -6, -2, 11, 13}
C. {-10, -9, -7, -5, 11}
D. {-6, -5, -10, 11, -3}
Answer:
THE ANDER IS EHE DUDUDUSU
–41 – y = −17 linear equations by elimination
An alligator is 9 inches long at birth and grows 10 inches per year. Write an equation that represents the length y (in feet) of an alligator that is x years old. How long will the alligator be after 4 years?
Answer:
y=10x+9
after 4 years the gator will be 49 in long
Step-by-step explanation:
Answer:
y = 5/6x + 3/4.
At 4 years old, the length y = 49/12 feet = 4 feet 1 inch.
Step-by-step explanation:
9 inches = 3/4 feet.
10 inches = 5/6 feet
So our equations is
y = 5/6x + 3/4.
When it is 4 years old:
y = 5/6(4) + 3/4
= 20/6 + 3/4
= 49/12 feet
A rectangular prism has a volume of 1,176 cubic inches. The prism has a width of 12 inches
and a height of 7 inches.
What is the length of the prism?
Write your answer as a whole number or decimal. Do not round.
GUYS PLEASE HELP IVE BEEN DOING THIS FOR 3 HOURS
A shop sells two different bags of rice.
Rice A
500g plus 25% extra free
Rice B
750g plus 1/5 extra free
Which bag gives you more free rice.
Show your working.
Answer: rice a
Step-by-step explanation:
convert 1/5 to a decimal .20 <.25
Bag of rice B gives more rice than bag A as per the percentage.
What is the percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
Given, A shop sells two different bags of rice. Rice A has 500g plus 25% extra free and Rice B has750g plus 1/5 extra free.
For calculating the free amount of rice,
For Bag A
Frre amount of rice = 500* 25% = 500 *25/ 100 = 125g
For Bag B
Frre amount of rice = 750 * 1/5 = 150g
Therefore, According to the percentage, bag B of rice contains more rice than bag A.
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What is the distance between 4 and 17?
Answer:
14
Step-by-step explanation:
17 - 4 + 1 = 13 + 1 = 14
Answer:
Step-by-step explanation:
D = distance
[tex]x_{1}[/tex] = 4
[tex]x_{2}[/tex] = 17
No "y" values were given.
The distance formula:
[tex]D=\sqrt{(x_{1} - x_{2} )^{2} +(y_{1} - y_{2} )^{2}}[/tex]
If we insert in the values:
[tex]D = \sqrt{ (4 - 17)^{2} + (0 - 0)^{2}}[/tex]
(0-0)^2 = 0 so we can just remove the last part since it's +0:
[tex]D = \sqrt{(4 - 17)^{2}}[/tex]
4 - 17 is equal to -13:
[tex]D = \sqrt{(-13)^{2}}[/tex]
Since [tex](-a)^{2} = (a)^{2}[/tex], that means that the negative 13 becomes positive
[tex]D = \sqrt{(13)^{2}}[/tex]
Now the square root and the square cancels each other out:
[tex]D = 13[/tex]
Hope I could help you understand (●'◡'●)
If you have any questions, don't be afraid to ask in the comments below!
P.S if you really like this answer, please consider giving it the brainiest... I am one brainiest away from expert rank ╰(*°▽°*)╯
Have a good day!
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. y2 + 28y +
Answer:
[tex]y^2+28y+196[/tex]
Step-by-step explanation:
We are given that
[tex]y^2+28y+..[/tex]
We have to fill in the number that makes the polynomial a perfect square quadratic.
We know that
[tex](a+b)^2=a^2+2\times a\times b+b^2[/tex]
Using the formula
Expand the expression
[tex](y)^2+2\times y\times 14+(14)^2[/tex]
[tex](y+14)^2[/tex]
[tex]=y^2+28y+196[/tex]
Describe a time when you use my Math out of school
Answer:
Counting money to buy something from the store
Measuring ingredients for food
what i do to deserve this math love?
Answer:
lifes hard man its whateva
Step-by-step explanation:
help me pleaseeeee
it’s algebra 2
Answer:
Step 2
Step-by-step explanation:
PLEASE HELP!
Find one counterexample to show that this is false:...
The product of two positive numbers is greater than either number
can anyone help with this, it’s my worst subject.
Answer:
Yes
Step-by-step explanation:
They are congruent because they gave the same dimensions.
b) A pattern is created by taking a tile of area 2mand adding further tiles, each
one half the area of the previous one. What is the total area of this pattern after
five tiles have been placed down? Give your answer as a mixed number.*
2m2
Answer:
TILE SIZES
Contemporary tiles are available in a variety of colors, styles, tile sizes, and shapes, which allows you to create a truly personalized space. Tile sizes are dependent on materials and intended uses, and they have increased dramatically over the years. But while there are some standard tile sizes, there are also a lot of manufacturers that make tiles in sizes specific to their in-house designs. Producers offer an enormous variety of products from very small 0.5” x 0.5” mosaic to large 24” x 24” tiles to suit in any house design and satisfy any customer needs.
What is the answer to -180=-10v+10
Answer:
Step-by-step explanation:
-180=-10v+10
-190=-10v
v=19
Answer:
19
Step-by-step explanation:
[tex]-180=-10v+10[/tex]
subtract 10 from both sides
[tex]-190=-10v[/tex]
divide both sides by 10
[tex]v=19[/tex]
plz mark me brainliest. :)
A kite has a 50 foot long string. If the angle of elevation to the kite measures 60 degrees, how high is the kite above the ground? Round to the nearest tenth. Pleaseee help!!!!
Answer:
Step-by-step explanation:
Draw a picture. You have a 30-60-90 triangle, so the sides are in the ratio 1:√3:2.
The string of the kite is the side opposite the 90° angle. The side opposite the 30° angle is 25 ft.
The vertical leg of the triangle is 25√3 ≈ 43.3 ft
750 students appeared in an examination. If 24% of them passed in first division, 38% in second, 16% in third and others failed in exam. Find the number of students who have passed in each division and who have failed.
Which equation is a related fact to 60 ÷ 10 = ∎? A) ∎ = 10 × 60 B) ∎ × 10 = 60 C) 10 = ∎ × 60 Please help me.
Answer:
Hey! here is the answer!
Step-by-step explanation:
C! 10 = ∎ × 60
i know this becuase i did the equation in reverse, then used my calculator to make sure all the numbers added up.
Answer: B)
Step-by-step explanation:
First we need to find the value of the black sqaure. The value of the black square is 6 because 60 / 10 = 6. A) cannot be the answer because 6 does not equal 60. C) cannot be the answer because 10 does not equal 360. The only answer can be B) because 6 x 10 does equal 60.
I've wasted 42 points already. Can someone PLZ just answer my Question and stop wasting my points. PLz, this is due. I need help
Step-by-step explanation:
You can put the value of x into the equation to solve for y. Hopes this works.
please help 5 rate pleaseeeeeee????//
Step-by-step explanation:
5/2K+1+1/3K-3/4= 17/6K + 1/4
-Plug in the rest of the equations to check if they are the same.
1. equivalent
2.Not
3.Not
4.Not
5.Not
ABCD- parallelogram, If the perimeter of Triangle CPQ is 15cm, Find the perimeter of triangle BAQ. Find the perimeter of triangle PDA. PLEASE FIND THE ANSWER QUICKLY I NEED IT RIGHT NOW
Answer:
The answer is below
Step-by-step explanation:
A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.
Given parallelogram ABCD:
AB = CD = 18 cm; BC = AD = 8 cm
∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).
Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:
[tex]\frac{CD}{PC}= \frac{AD}{CQ}\\\\\frac{18}{6}=\frac{8}{x} \\\\x=\frac{6*8}{18}=\frac{8}{3}\ cm[/tex]
Perimeter of CPQ = CP + CQ + PQ
15 = 6 + 8/3 + PQ
PQ = 15 - (6 + 8/3)
PQ = 6.33
∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).
Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem
[tex]\frac{AQ}{QP}=\frac{AB}{CP} \\\\\frac{AQ}{6.33} =\frac{18}{6} \\\\AQ=\frac{18}{6}*6.33\\\\AQ = 19[/tex]
[tex]\frac{BQ}{CQ}=\frac{AB}{CP} \\\\\frac{BQ}{8/3} =\frac{18}{6} \\\\BQ=\frac{18}{6}*\frac{8}{3} \\\\BQ =8[/tex]
Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm
PA = AQ + PQ = 19 + 6.33 = 25.33
PD = CD + DP = 18 + 6 = 24
Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm
Find the surface area of each prism. Show your work for full credit!
Answer:
1 15 x 9 x 14 = 1890
2 10 x 17 x 24 x 21 =85680
Step-by-step explanation:
ME RESULVEN ESTO POR FA
6 -1
-3 -1
9+3
-3. -7
2.8
-5.+3
-10:-5
18: -3
-9 : 9
Answer:
1) 5
2) -4
3) 12
4) -10
5) 2.8
6)-2
7) 2
8) -6
9) -1
What is the distance between points V(3, 3) and W(–2, –3)?
Answer:
√61
Step-by-step explanation:
Answer:
(5,6)
Step-by-step explanation:
3-(-2)=5
3-(-3)=6
X-9 = 23 when X=14
yes
No
Step-by-step explanation:
x - 9 = 23
(14) - 9 = 5
So the answer is no.
Answer:
No
Step-by-step explanation:
X will be equal to 32
If X is equal to 14 the answer will be 5
40 POINTS!!
Select the correct answer.
4xV5 – 2xV5
What is the simplified form of 9V6
OA 27
OB.
37
V5
Ос.
OD
27
375
I only know what in the picture which is the letter A
Help with this please!!!! The green box
Answer: 6
Step-by-step explanation:
The question is looking for the leg length beside the green box. If you count the leg length from vertex to vertex, it is 6 squares in length.
A university's freshman class has 7700 students. 67% of those students are majoring in Engineering. How many students in the freshman class are Engineering majors?
Answer:
5159 students
Step-by-step explanation:
To find a percentage of a number larger than 100, divide the percent by 100, so 67/100=0.67. Multiply that number by the number that you want to take the percentage of. 0.67 x 7,700 = 5,519
What is the area of the circle below? Use π = 3.14 to solve. Round your answer to the nearest hundredth.
Answer:
803.84 ft ²
:)
The area of the circle is given by the equation A = 803.84 feet²
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the area of the circle be represented as A
Now , the equation will be
The radius of the circle r = 16 feet
So , area of the circle = πr²
Substituting the values in the equation , we get
Area of the circle A = π x ( 16 )²
Area of the circle A = π x 256
Area of the circle A = 3.14 x 256
Area of the circle A = 803.84 feet²
Therefore , the value of A is 803.84 feet²
Hence , the area of circle is 803.84 feet²
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Kaylin buys a greeting card for $3.79. She then buys 4 postcards that all cost the same amount. The total cost is $5.11. How much is each postcard? SHOW YOUR WORK.
Answer:
0.33
Step-by-step explanation:
5.11-3.79=1.32
1.32÷4=0.33
After solving the equation, the price of each postcard will be equal to $0.33.
What is arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per information in the question,
Price of greeting card = $3.79
Total cost of greeting card as well as greeting card is $5.11
Let the price of each postcard is x.
Then, the equation will be,
$3.79 + 4x = $5.11
4x = $5.11 - $3.79
x = 1.32/4
x = $0.33
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