Answer:
a) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{6}[/tex] of area A.
b) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{18}[/tex] of area B.
c) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{3}[/tex] of area C.
d) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{4}[/tex] of area D.
e) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{2}[/tex] of area E.
Step-by-step explanation:
According to stament, the area A is 6 square centimeters, the area B is 18 square centimeters, the area C is 3 square centimeters, the area D is 4 square centimeters and the area E is 2 square centimeters.
The purpose of this exercise is determine all ratios associated with each area, defined as a given area divided by the total area. Then, we proceed to determine each result:
([tex]A_{given} = 1\,cm^{2}[/tex], [tex]A_{A} = 6\,cm^{2}[/tex], [tex]A_{B} = 18\,cm^{2}[/tex], [tex]A_{C} = 3\,cm^{2}[/tex], [tex]A_{D} = 4\,cm^{2}[/tex], [tex]A_{E} = 2\,cm^{2}[/tex])
[tex]r_{A} = \frac{1\,cm^{2}}{6\,cm^{2}}[/tex]
[tex]r_{A} = \frac{1}{6}[/tex]
[tex]r_{B} = \frac{1\,cm^{2}}{18\,cm^{2}}[/tex]
[tex]r_{B} = \frac{1}{18}[/tex]
[tex]r_{C} = \frac{1\,cm^{2}}{3\,cm^{2}}[/tex]
[tex]r_{C} = \frac{1}{3}[/tex]
[tex]r_{D} = \frac{1\,cm^{2}}{4\,cm^{2}}[/tex]
[tex]r_{D} = \frac{1}{4}[/tex]
[tex]r_{E} = \frac{1\,cm^{2}}{2\,cm^{2}}[/tex]
[tex]r_{E} = \frac{1}{2}[/tex]
a) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{6}[/tex] of area A.
b) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{18}[/tex] of area B.
c) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{3}[/tex] of area C.
d) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{4}[/tex] of area D.
e) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{2}[/tex] of area E.
For the school play, the advance tickets cost 3, while tickets at the door cost 5. Thirty more tickets were sold at door than in advance, and was collected. How many of each kind of ticket were sold? Write your answer in a sentence.
Answer:
Number of tickets sold in advance = 310
Number of tickets sold at the door = 340
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at the door than in advance, and $2630 was collected. How many of each kind of ticket were sold?
The explation of the answer is now given as follows:
Let a represents number of tickets sold in advance. Therefore, we have:
a = number of tickets sold in advance at $3 each
a + 30 = number of tickets sold at the door at $5 each
The total amount collected can be represented by this equation:
3a + 5(a + 30) = 2630
Solving for a, wee have:
3a + 5a + 150 = 2630
8a = 2630 - 150
8a = 2,480
a = 2,480 / 8
a = 310
Therefore, this implies:
Number of tickets sold in advance = 310
Number of tickets sold at the door = a + 30 = 310 + 30 = 340
Please help me I’ll give all my coins!
Answer:
x=3
Step-by-step explanation:
-4-5x+10x+9=20 ] +4
-5x+10x+9=20+4 ] -9
-5x+10x=24-9
5x=15
15:5=3
x=3
-8 + 70/-7 = ?
Evaluate?
Answer:
-18
Step-by-step explanation:
-8 + 70/-7
-8 - 10
-18
A. The rate of change of function A is -2 The rate of B is 8
B. The rate of hangs function A is 1 The rate of change of function B is 8
C. The rate of change of function A is -2 The rate of change of function B is 4
D. The rate of change of function A is 1 The rate of change of function A is 1 The rate of function B is 4
Vertical Angles: Find the Supplementary Angles (photo provided)
Answer:
105°
Step-by-step explanation:
The given angles are vertical and congruent , then
8x - 21 = 6x + 3 ( subtract 6x from both sides )
2x - 21 = 3 ( add 21 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Then
6x + 3 = 6(12) + 3 = 72 + 3 = 75°
Supplementary angles sum to 180° , thus
supplementary angle = 180° - 75° = 105°
Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9
Given:
The function is
[tex]f(x)=\left(\dfrac{1}{3}\right)^x[/tex]
To find:
The missing values for a, b, and c in the given table.
Solution:
We have,
[tex]f(x)=\left(\dfrac{1}{3}\right)^x[/tex]
At x=-2,
[tex]f(-2)=\left(\dfrac{1}{3}\right)^{-2}[/tex]
[tex]a=\left(3\right)^{2}[/tex] [tex]\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right][/tex]
[tex]a=9[/tex]
At x=-1,
[tex]f(-1)=\left(\dfrac{1}{3}\right)^{-1}[/tex]
[tex]b=\left(3\right)^{1}[/tex] [tex]\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right][/tex]
[tex]b=3[/tex]
At x=0,
[tex]f(0)=\left(\dfrac{1}{3}\right)^{0}[/tex]
[tex]c=1[/tex] [tex]\left[\because a^0=1, a\neq 0\right][/tex]
Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.
Answer: below
Step-by-step explanation:
please help I'll give brainliest
Alice is going to invest some money for 5 years.
She can choose from two options:
Investment A: 2.7% compound interest per annum
Investment B: 2.8% simple interest per annum
Which investment should Alice choose
Answer:
Option AStep-by-step explanation:
Let the amount be P
Compound interest:
P*(1 + 0.027)^5 = P*1.1425 roundedSimple interest:
P*(1 + 0.028*5) = P*1.14Alice should choose compound interest, Option A
Solve.
-2 1/3 - (-5)
Answer:
2.66666666667
Step-by-step explanation:
Answer: fraction: 8/3
Step-by-step explanation: mixed number: 2 2/3
i’ll give you all my points that i have and rate you good if you answer these three questions before 3:00pm est. if f(x)=8-5x, find each value. one is f(4c), the second question is f(2-k), and the third is f(4p+3)
NEED HELP FAST PLEASE.
Please answer all these.
AND BECAUSE YOUR GONNA ANSWER ALL OF THEN IMA GIVE YOU 50 POINT
Answer:
60
Step-by-step explanation:
the measure of ∠G is 82°. What is the measure of its compliment?
Answer:
First off, complementary angles are when 2 angles add up to 90 degrees. So if one angle is 82 degrees the other is 8 degrees.
Step-by-step explanation:
3x + 4y - 2(x + 1) + 2(4y - 8) – 25y + 485
1x - 13y + 475
Step-by-step explanation:
[tex]3x \: + \: 4y \: - \: 2(4y \: - \: 8) \: - \: 25y \: + \: 485[/tex]
3x + 4y - 2x - 2 + 8y - 8 - 25y + 485
3x - 2x + 4y + 8y - 25y - 2 - 8 + 485
1x + 4y + 8y - 25y - 2 - 8 + 485
1x + 12y - 25y - 2 - 8 + 485
1x - 13y - 2 - 8 + 485
1x - 13y - 10 + 485
1x - 13y + 475
HOPE THIS HELPS YOU
17.82 + 6.4 =
???????
Answer:
24.22
Step-by-step explanation:
simple addition right lol
Answer:
24.22
Step-by-step explanation:
!!!!!!!!!!!
Select all the points that are on the graph of the line 3x+2y=24
Answer: It would be (0,12) for sure but I'm not sure about the rest
Step-by-step explanation:
What is the area of the triangle?
7
5
4
If you divided 656 into 32 equal parts , each containing a whole number of square miles, how large would each part be? How large would the remaining area be?
The expression 10x-x^2 is greater than zero for all values of x that are
(A). Greater than 0.
(B). Less than 0 but greater than 10
(C). Greater than 10
(D). Greater than 0 but less than 10
Answer:
Here Is Your Answer Less Than 0 But Greater Than 10
How do I give brainliest I forgot whoever lets me know how I will give them it
Find g(x), where g(x) is the translation 2 units right of f(x)=|x|.
MATH LOVERS PLS!!!!!!!
The ratio of cats to dogs at a pet store is
4:5, which means...
Answer:
Huhhhhhhhhhhhh 4x and 5x
Pls help me!!! And thank yiuuu!!!
Answer:
[tex]\huge\boxed{x = 8}[/tex]
Step-by-step explanation:
In order to solve for x, we need to note a few angle relationships here.
A) Equations can be used to represent angle lengths as long as there is something else to reference it (such as a supplementary/congruent/etc. angle) B) When two parallel lines are cut by a transversal, the angle measures formed by the transversal will be the same.Using these rules, we can start to figure out that the angle [tex]7x+3[/tex] is going to be congruent to the angle [tex]3x+35[/tex]. Since the angle measures will be the same, that means the value of x will also be the same. Therefore, we can set the two equations equal to each other and solve for x.
[tex]7x + 3 = 3x+35[/tex] [tex]4x + 3 = 35[/tex] [tex]4x = 32[/tex] [tex]x = 8[/tex]Hope this helped!
Good Mornting hru?
3(7)+4(6)=
Answer:
45
Step-by-step explanation:
im good, u?
is 315/8 rational or irrational
Answer:
315/8 GIVES 39.375. But 35.375 Is actually a rational number, because it is terminating after 3 decimal places.
Step-by-step explanation:
Answer:
315/8 is rational.
Step-by-step explanation:
It is rational because 315/8 = 39.375. But 35.375 Is actually a rational number because it is terminating after 3 decimal places.
Given the equation: 9y + 3x = 30 , what's the y-
intercept? Round to the nearest hundredth.
Answer:
3.3 or 10/3
Step-by-step explanation:
does 18/24 and 15/20 form a proportion
Answer: yes
Step-by-step explanation:
when you simplify 18/24 goes to 3/4 and 15/20 simplifies to 3/4 as well so they are equivalent
Find the value of x using the pythagorean theorem.
Do the side lengths form a pythagorean triple?
Answer:
[tex] {x}^{2} = {9}^{2} + {40}^{2} \\ {x}^{2} = 81 + 1600 \\ {x}^{2} = 1681 \\ x = \sqrt{1681} \\ x = 41[/tex]
plzz ,thnx my answer...
The area of a rectangle is 588 in^2. The ratio of the length to the width is 4:3. Find the length and the width
Answer:
Length is 336 in, width is 252 in
Step-by-step explanation:
Divide 588 by 7 which equals 84. Since this one-seventh, and the given ratio is 4:3, multiply 84 by 4 for the length and 84 by 3 for the width.
The length and the width of the rectangle are 28 in and 21 in, respectively.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
Let's assume the length of the rectangle is 4x, and the width is 3x, where x is a common factor.
The area of a rectangle is given by the formula:
Area = Length × Width.
Given that the area is 588 in², we can set up the equation:
(4x)(3x) = 588
12x² = 588
Dividing both sides of the equation by 12:
x² = 588 / 12
x² = 49
Taking the square root of both sides:
x = √49
x = 7
So, x = 7.
Now we can find the length and width:
Length = 4x = 4(7) = 28 inches
Width = 3x = 3(7) = 21 inches
Therefore, the length of the rectangle is 28 inches, and the width is 21 inches.
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
#SPJ2
Please solve this for me! Thank you so much I appreciate you. tpwk
Answer:
C
Step-by-step explanation:
Please help *I’ll mark you as a brnlist please please ASAP ASAP please help me please
Answer:
12.6
Step-by-step explanation:
Given
with reference angle 57°
perpendicular (p) = y
hypotenuse (h) = 15
Now
sin 57° = p / h
0.84 = y / 15
y = 0.84 * 15
y = 12.6
Hope it will help :)