The length of parking lot in drawing will be 285 centimeters.
We are given the ratio of measurement in drawing to the measurement in real. In the ratio, 5 centimeters represents measurement in drawing and 2 meters represent drawing in real. Further, let the length of parking lot in real life be x centimeters.
Representing the mentioned information in ratio and proportion form - 5÷2=x÷114
Now performing cross multiplication of mentioned ratio and proportion to find the value of x.
2 × x = 5 × 114
Performing multiplication on Right Hand Side of the equation
2 × x = 570
Shifting 2 to denominator on Right Hand Side of the equation
x = 570÷2
Performing division on Right Hand Side of the equation
x = 285 centimeters.
Hence, the length of parking lot in drawing will be 285 centimeters.
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which is the graph of x-y=1
I WILL GIVE BRAINLIEST
Select all the correct locations on the image.
Consider function f.
F(x) = x^3 + 2x^2 - 5x – 6
Select the locations of the zeros of function fon the coordinate plane. Then select the end behavior of its graph.
Answer:
C.
Step-by-step explanation:
A x approach positive infinity. f(x) approach positive infinity
Answer:
a bit late
use desmos, seriously a life saver
Step-by-step explanation:
hellppp
plsssssssssss
Ramon places a mirror on the ground 45 ft from the base of a geyser. He walks backwards until he can see the top of the geyser in the middle of the mirror. at that point, Ramon eyes are 6 ft above the ground and he is 7.5 ft from the mirror. Use similar triangles to find the geyser
Answer:
36 ft
Step-by-step explanation:
6/x=7.5/45
270=7.5x
x=36
In this exercise we have to have knowledge of triangles, so we can use the theory of similar triangles to find the value of X, like:
[tex]36 ft[/tex]
To use similar triangle theory, we have to make a rule of 3, that is:
[tex]6/x=7.5/45\\270=7.5x\\x=36[/tex]
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Which of the following equations has an infinite number of solutions?
A. 3x – 3 = –4x
B. 2y + 4 – y = 16
C. 7x + 5 = 4x + 5 + 3x
D. 6y – 2 = 2(y – 1)
The equation 7x + 5 = 4x + 5 + 3x has an Infinite number of solutions. which is the correct answer would be option (C).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have to determine which equation has an infinite number of solutions
As per option (C),
⇒ 7x + 5 = 4x + 5 + 3x
Combine comparable terms to simplify both sides of the problem.
You have become left with 7x+5 = 7x+5.
On both sides, subtract 7x.
This gives you 5=5.
Subtraction 5 from both sides
⇒ 0 = 0
Thus, this equation has an Infinite number of solutions.
Hence, the correct answer would be an option (C).
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Juan hires an electrician. • Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. How much will Juan pay if it takes the electrician 6.5 hours to complete the job?
Answer: 322.50
Step-by-step explanation:
45 * 6.5 = 292.5
292.5 + 30 = 322.5
what did he do wrong
Answer:
I think step 1 because 0.5m + 6 does not equal 20 which messed up the solution.
What is the slope of a line perpendicular to y - 2x + 4 = 0?
Answer: 1/2
Step-by-step explanation:
Opposite reciprocal
Evaluate each expression if a = 2, b = -34
3. - 9 (a-6)
Answer:
36
Step-by-step explanation:
I'm assuming the expression we're solving here is -9(a-6).
-9(2-6)
(-9*2)-(-9*6)
(-18)-(-54)
Simplify.
-18+54
It equals 36.
Hope this helps.
What is f(g(13))? A. 16 B.26 C. 32 D. The function is undefined
The answer is 32 and there’s a diagram but I need to know how to get there without said diagram.
Answer:
See explanation
Step-by-step explanation:
f(g(13))=
f(16)=32
**The diagram is the only reference to solving f(g(13)). f(x) or g(x) isn't provided for you, so just use the diagram.
Find angles in triangles
Find the value of x in the triangle shown below.
o
X =
53°
20
970
Answer:
x = 30°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
53° + 97° + x° = 180°
Step 2: Solve for x
Combine Like Terms: x° + 150° = 180°Isolate x: x = 30°Solve for x please... it's for a test and it's really hard
I'll give you all my points, thanks
4(x - 1) - 3 (x - 2) = - 8
This is a personal question what does 61.5 mean in height i wanna know for math class
hurry this is urgent im on a timer
Answer:
So 61.5 inches I'm guessing in feet would be 5.125 feet. You just divide 61.5 by 12 to get your answer.
Step-by-step explanation:
y=2,y=-1/2 thats the equation but it told me to write more idk why
More information is needed.
6th grade math help me plzz
Answer:
A-B really simple.
Step-by-step explanation:
What is the diameter of a sphere with a volume of 15276 cm", to the nearest tenth
of a centimeter?
Answer:
15.4
Step-by-step explanation:
15276 = 4/3 πr³
11457 = πr³
3646.88 = r³
15.4 = r
Answer:
30.8
Step-by-step explanation:
Given CAD is a right angle and AB is bisecting CAD and if DAB=(7x-4) find X
Answer:
x = 7
Step-by-step explanation:
∠CAD is a right angle, right angles has 90° measurement.
m∠DAB = 7x - 4 AB bisects ∠CAD this means it divides the angle into two equal parts.
So it's safe to write the following equation:
7x - 4 = 45 (half of 90°)
add 4 to bot sides
7x = 49 divide both sides by 7
x = 7
Uma tecelagem fabrica 2000 metros de comprimento de tecido com 2 metros de largura em uma semana, com 4 teares funcionando 8 horas por dia cada. Se duas máquinas forem desligadas, em quanto tempo ela fabricará 1500 metros de comprimento de tecido com 3 metros de largura e com as máquinas trabalhando 6 horas por dia cada?
A
15 dias
B
18 dias
C
21 dias
D
28 dias
A 20 meter long cable is used to support a telephone, holding it perpendicular to the ground. If the cable forms a 60 degree angle with the ground, how high up the pole should the cable be attached?
What happens to the sign (> , < , ≥ , ≤) when divided by a negative number?
HELPPPPPPPPP
Answer:
Step-by-step explanation:Sometimes, it is necessary to multiply an inequality by a negative number in order to solve the inequality. Compared to multiplying inequalities by positive numbers, there's one extra step. It's called flipping the inequality sign. Let's see what exactly this looks like.
find the amount of hardener needed for 600g of carbon fiber if the ratio of the composite is 40% matrix to 60% fiber and the ratio of the matrix is 100 parts resin to 27 parts of hardener
The hardener needed for 600 g of carbon fiber is 85.04 g.
We are given that the ratio of the composite is 40 % matrix to 60 % fiber.
This can be written as:
Matrix : fiber = 40 % : 60 %
Matrix : fiber = 40 : 60
Matrix : fiber = 2 : 3
Now, we know that the carbon fiber = 600 g
Matrix : 600 g = 2 : 3
Matrix / 600 = 2 / 3
Matrix = 1200 / 3 g
Matrix = 400 g
Also, we are given that the ratio of the matrix is 100 parts resin to 27 parts of hardener.
This means that:
Hardener = 27 / 127 of matrix.
Hardener = 27 / 127 × ( 400 g )
Hardener = 85.04 g
Therefore, the hardener needed for 600 g of carbon fiber is 85.04 g.
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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services? PLEASE ANSWER
Answer:
Cost of haircut = $93
Cost of colouring hair = $31
Step-by-step explanation:
Let
Cost of haircut = x
Cost of colouring hair = y
The equations
x + 2y = 217 (1)
2x + y = 155 (2)
From (1)
x = 217 - 2y
Substitute x = 217 - 2y into (2)
2x + y = 155
2(217 - 2y) + y = 155
434 - 4y + y = 155
-3y = 155 - 434
-3y = -279
y = -279 / -3
= 93
y = $93
Substitute y = 93 into (1)
x + 2y = 217
x + 2(93) = 217
x + 186 = 217
x = 217 - 186
= 31
x = $31
Cost of haircut = $93
Cost of colouring hair = $31
A median of a triangle always bisects the angle of the triangle that it intersects. true or false
Answer: True
Step-by-step explanation: Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid. In the case of isosceles and equilateral triangles, a median bisects any angle at a vertex whose two adjacent sides are equal in length. The concept of a median extends to tetrahedra.
Answer:
True
Step-by-step explanation:
Ahmad rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 88 cents for each mile driven. Ahmad had to pay
$144.71 when he returned the truck. For how many miles did he drive the truck?
mile.
Answer:
266 miles
Step-by-step explanation:
(244.09-17.99)/0.85=266
I need help solving this ASAP
The table represents a proportional relationship between the number of hours it shows h, and the number of inches of snow, s on the ground. Find the constant of proportionality
The constant of proportionality is.
The constant of proportionality is 4, and the relationship is given by s = 4h.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
Let h represent the number of hours and s represent the number of inches of snow on the ground. Since both variables are proportional, hence:
s = hk; where k is the constant of proportionality
Let us assume in the table, when h = 1, s = 4 hence:
s = hk
4 = k(1)
k = 3
s = 4h
The constant of proportionality is 4, and the relationship is given by s = 4h.
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An item is regularly priced at %59 . It is on sale for 35% off the regular price. what is the sales price
Answer: 38.35%
Step-by-step explanation:
59%=59/100=0.59
0.59-0.35(0.59)=
0.59-0.2065=
0.5900-0.2065=
0.3835=38.35%
A boy scout troop is selling bags of popcorn and boxes of cookies to fund their troops next trip. The popcorn sells for 10 dollars a bag and the cookies sell for 5 dollars a box. The troop sells 32 items and makes 210 dollars. Write a system that could be used to determine how much popcorn and cookies the troop sold.
Answer:
c + p = 32
5c + 10p = 210
Step-by-step explanation:
Given that :
Cost of popcorn per bag = $10
Cost of. Cookies per box = $5
Total items sold = 32
Total.amout made = $210
Let number of cookies = c ; number of popcorn = p
c + p = 32
5c + 10p = 210
c = 32 - p
5(32 - p) + 10p = 210
160 - 5p + 10p = 210
5p = 50
p = 10
c = 32 - p
c = 32 - 10
c = 22
While playing basketball, Jada’s heart rate goes up to 140 beats per minute. While jogging, her heart beats 40 times in 15 seconds. Assuming her heart beats at a constant rate while jogging, which of these activities resulted in a higher heart rate? Explain your reasoning.
Answer:
Basketball
^^
Step-by-step explanation:
10 x 6 = 60 (there are 60 seconds in a minute)
25 x 6 = 150
jogging = 150
basketball = 160
^^
Hope this helped!! <3
If there are 800 students and 17/50 wear a green shirt, how many students are wearing a green shirt?
Answer: 272 students are wearing a green shirt.
Step-by-step explanation:
800/50 = 16
16*17 = 272