The actual length of the car based on the model will be 350 inches.
How to calculate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
Since the ratio of the model car was 2:35. If the model is 20 inches long, the actual length of the car will be:
= 20 ÷ 2/35
= 20 × 35/2
= 350 inches.
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Complete question
The ratio of the model car was 2:35. If the model is 20 inches long. then what would be the actual length of the car??
When two lines make an angle of 90 degree is known as?
When the two lines makes angle of 90 degree , then the lines are known as Perpendicular Lines .
What are Perpendicular Lines ?
Two lines are said to be perpendicular to each other if the straight line makes an angle of 90 degree with another line. 90 degree is also called a Right Angle and is represented by a little square between two perpendicular lines .
when the two lines intersect at a right angle, they are said to be perpendicular to each other.
For Example : In a football field all the four corners of a football field are perpendicular to each other.
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The number 1341 can be written as the sum of three consecutive positive integers. What is the largest of these integers
x = 448, which is the greatest of these integers.
What are integers ?Positive, negative, and zero are all examples of integers.
The Latin word "integer" signifies "whole" or "intact."
As a result, fractions and decimals are not included in integers.
All whole numbers and negative numbers are considered integers.
This means that if we combine negative numbers with whole numbers, a collection of integers results.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.
According to our question-
added together =1341
x + x-1 + x-2 =1341
3x-3 = 1341
3x = 1344
x = 448
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Find the area of the following
parallelogram:
3 cm
5 cm
4.5 cm
A= [?] cm
Enter the exact answer as a decimal.
Answer:
The answer is 13.5
Step-by-step explanation:
What is the opposite 27?
The opposite of number 27 is -27
We know that the opposite of a number is nothing but the number which is at the same distance from 0 but in the opposite direction on a number line.
Here we have been givena number 27
Let a number 'p' be the opposite of number 27
If we plot 27 on the number line then we can observe that it is located to the right of 0 on the number line.
So, from the definition of opposite of a number p would be at the same distance from 0 i.e., 27 units but in the opposite direction on a number line.
so, the number p would be -27
Therefore, -27 is opposite of 27
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There were 5 7/10 liters of water in a bucket than she spilled some so she added another 1 5/10 after that she has 6 4/10 how much did she spill
8/10 liters of water she spilled. This can be solved using the concept of fraction.
What is fraction?A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.
Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.
Given that,
There were 57/10 liters of water in a bucket than she spilled some so she added another 15/10, now she get:
(57/10) + (15/10) = 72/10
After that, there was 64/10 liters of water in the bucket, now she spilled:
(72/10) - (64/10) = 8/10
So, 8/10 liters of water she spilled.
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Check all the equations that apply to meet the Segment Addition Postulate in segment PB. PO=7x+6, OB=3x+6 and PB=38 select all that apply
7x-26=-3x
7x+6-3x-6=38
10x+12=38
10x=50
38+3x+6=7x+6
10x=26
you get 100 pts if you answer so pls help me :c
Answer:
these two apply:
10x + 12 = 38 and
10x = 26
Step-by-step explanation:
7x+6+3x+6 = 38
10x + 12 = 38
10x = 26
x = 2.6
Suppose a shoe factory produces both low-grade and high-grade shoes. The factory produces at least twice as many low-grade as high-grade shoes. The maximum possible production is 500 pairs of shoes. A dealer calls for delivery of at least 100 high-grade pairs of shoes per day. Suppose the operation makes a profit of Birr 2.00 per a pair of shoes on high-grade shoes and Birr 1.00 per pairs of shoes on low-grade shoes. How many pairs of shoes of each type should be produced for maximum profit? Hint: Let x denote the number of high-grade shoes. Let y denote the number of low-grade shoes.
but can you make it clear more please
The total number of pairs of shoes produced should be 500 (the maximum possible production). The profit per day should be maximized, so we need to solve the following system of equations:
2x + 1y ≥ 100 (the number of high-grade shoes should be at least 100)
x + y = 500 (the total number of pairs of shoes produced should be 500)
Solving for x and y, we get:
x = 400 (high-grade shoes)
y = 100 (low-grade shoes)
Therefore, the factory should produce 400 pairs of high-grade shoes and 100 pairs of low-grade shoes for maximum profit.
How to optimize a factory’s production process to maximize profit?To optimize a factory's production process to maximize profit, the factory should focus on increasing efficiency and reducing costs. This can be done by streamlining processes, automating tasks, and utilizing data-driven decision making. Additionally, the factory should focus on reducing waste, lowering overhead costs, and developing cost-saving strategies. Finally, the factory should focus on finding new markets and expanding its customer base to increase revenue.
How to calculate the break-even point for a factory?The break-even point for a factory is the point where total revenue equals total costs. This can be calculated by subtracting the total variable costs (costs that change with production, such as raw materials and labor) from the total fixed costs (costs that are not affected by production, such as rent, insurance, and equipment). The difference is the break-even point, which is the total revenue needed to cover all costs and generate a profit.
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9) Express the roots of the equation 2x² + 4x + 5 = 0 in simplest a + bi form.
2x2+4x5=0 is a quadratic equation that can be solved. 2 x 2 + 4 x - 5 = 0. To find the answers, start with the quadratic formula.
What is the quadratic equation of 2x² 3x 5 0?Using the quadratic formula, determine the roots of the quadratic equations 2x2-3x-5= 0. The equation's roots must be located. As a result, the equation's roots are 5/2 and -1. Which equation with 2 as a root must be identified. As a result, 2 is not a root of x2-4x + 5= 0.
Since 2 is not a root, x2 + 3x-12= 0 cannot be solved. Thus, 2 is the root of the equation 2x2-7x + 6= 0. The roots of the quadratic equation ax2 + bx + c= 0 are real and equivalent if the discriminant is equal to zero (b2-4ac=0), a, b, and c are real values, and a0. The roots in this situation arex= -b/2a.
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I need help with this. It’s for geometry!
Step-by-step explanation:
Find angle W first:
37 + 93 + W = 180 ---> W = 50°
Use sine law to find the length w:
w/(sin 50) = 31/(sin 37)
w = 31(sin 50/sin 37)
= 39.5
The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m
Answer:
all this for five points, you're not serious
You need to split it in half then multply then add
Answer:
I'm pretty sure it's 97
Step-by-step explanation:
I made three shapes 2 rectangle and 1 triangle
What is the solution of the equation x 3y 6 and 2x 3y 12?
The solution of the equation is x = 6, y = 0.
1. Subtract the two equations:
x3y6 - 2x3y12 = 0
2. Simplify both sides of the equation:
x3y - 2x3y = 0
3. Simplify further calculations:
x3(y - 2y) = 0
4. Factorize the expression:
x(y - 2y) = 0
5. Solve for x:
x = 0
6. Substitute x = 0 into either equation:
3y = 6
7. Solve for y:
y = 2
8. Substitute y = 2 into either equation given above:
x = 6
The solution of the equation is x = 6, y = 2.
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find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 3
The Volume of largest Right Circular Cylinder that can be inscribed in Sphere of radius 3 cm is 65.3 cm³ .
Let the half height of of the cylinder be = h ;
we use h instead of [tex]\frac{h}{2}[/tex] for easier simplification ,
In order to find the Volume of cylinder , we multiply the area of top with the total height of cylinder .
So , Volume = [tex]\pi \times (Radius Of Cylinder)^{2}\times (Height Of Cylinder)[/tex]
Volume = [tex]\pi \times (\sqrt{r^{2} -h^{2} } )^{2}\times (2h)[/tex];
Volume [tex]= 2\pi h(r^{2} -h^{2} )[/tex]
Now , we need the derivative of volume function and equate to 0. If we move the h inside parenthesis, we only need to use power rule to get derivative.
So , we get , V = [tex]2\pi (r^{2} h-h^{3} )[/tex] ,
On simplifying further ,
we have ,
Volume of Largest Right Circular Cylinder ⇒ [tex]\frac{4\sqrt{3} \pi r^{3} }{9}[/tex] ;
it is given that radius of sphere is = 3 cm ,
Substituting value of radius in Volume formula ,
we get ,
V = [tex]\frac{4\sqrt{3} \times 3.14\times 3^{3} }{9}[/tex] ;
V = 65.2636 cm³
V ≈ 65.3 cm³.
Therefore , the volume of the largest right circular cylinder is 65.3 cm³.
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Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television
The brand-name television's measurements are 32 inches by 64 inches, so answer (C) is accurate.
How to find the television's measurements Calculation?Given: The generic version was created based on the brand name and was three eighths the size of the brand name.
12 inches by 24 inches is the size of the standard television set.
Allowing for x by y as the brand name's measurements
12 inches divided by three eighths
8/3 x = 12
x = 12 * 8 / 3 = 32 inch
and y=3/8 inches equals 24 inches
8/3 y = 24
y = 24 * 8 / 3 = 64 inch
As a result, the brand-name television has the following measurements: 32 by 64 inches.
Therefore, choice (C) is the appropriate response.
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The complete question is: Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?
a) 7.5 inches by 15 inches
b) 28 inches by 56 inches
c) 32 inches by 64 inches
d) 4.5 inches by 9 inches
Which of the following statements are true? (select more than one answer)
Answer:
➜ ∠4 = ∠2
➜ ∠2 + ∠3 = 180°
➜ ∠1 = ∠3
Step-by-step explanation:
We can use vertical angles to prove the first statement true, ∠4 = ∠2.
Next, ∠2 and ∠3 are supplementary angles, so if you add them together you will get 180 degrees. This statement is also true.
Then, ∠1 and ∠2 are not complimentary angles. This statement is false.
Lastly, we can use the same reasoning of the first one to prove this statement true as well. They are vertical angles, ∠1 = ∠3.
How many 1/3 ounce cups can be taken from a 30 ounce box of cereal?
Answer:
90 cups
Step-by-step explanation:
Number of cups needed = 30 / (1/3) cups
= 90 cups
Thought process:
1 cup -> 1/3 ounce
3 cups -> 1 ounce
? cups -> 30 ounce
Hence, ? = 30 x 3
= 90
6. A train travels 283. 8km in 4. 4 hours; how far does it travel in
(a) 1 hour
(b) 2. 5 hour
If a train travels 283. 8km in 4. 4 hours, the train travels 71km in 1 hour and the train travels 114.5km in 2.5 hours.
Based on the assumption that the train is traveling at a constant speed throughout its journey.
To find the speed the train travels , we divide the total distance by the total time:
speed = 283.8km/ 4.4 hours
speed = 64.5 km/h
To find the distance the train travels , we multiply the speed of the train by the total time:
Distance travelled in 1 hour = 64.5 km/ hour × 1 hour
Distance travelled in 1 hour = 64.5 km
Distance travelled in 2.5 hours = 64.5 km/hour x 2.5 hours
Distance travelled in 2.5 hours = 161.25km
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What is the difference between a reasonable and unreasonable time algorithm?
Reasonable algorithms expand at polynomial rates or less quickly. Unreasonable algorithms expand exponentially. Even for relatively small problem sizes, the time to solve an unreasonable algorithm increases very quickly.
What is Unreasonable time algorithms?When the algorithm takes an excessively long time, we say that the number of steps is an exponential function of the size of the input (or some other function that is larger than any polynomial). Simply increasing the input size (n) by 1 doubles the number of steps for an algorithm that runs in 2n time.
Depending on the polynomial, polynomial time can be further decomposed. Algorithms with a runtime of approximately n2 operate in quadratic time. (If the input size is doubled, the number of steps is quadrupled.) In practise, polynomial time algorithms that take longer than cubic (n³) time are uncommon.
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Rodrigo just became a personal trainer and is finalizing his pricing plans. For one plan, Rodrigo charges $39 for the initial consultation and then $42 per session. For another plan, he charges $54 for the consultation and $39 per session. Rodrigo realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?
Answer:
5
Step-by-step explanation:
I just did it
The sum of the digits of a two-digit number is 7. When the digits are reversed, the number increases by 45. What is the original number?
original number: ⬜
The original number is 25.
We know that,
The sum of the original number is 7 --(i)
When reversed, the value of the number is increased by 45 --(ii)
Therefore, adding (i) and (ii), we get:
7 + 45 = 52
Also, 5 + 2 = 7
Since 52 is the reversed number,
Therefore, the original number is 25.
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help is very much needed
Answer:
-972
Step-by-step explanation:
The next number in the sequence would be the previous number multiplied by 3.
-4*3 = -12
-12*3 = -36
-36*3 = -108
-108*3 = -324
-324*3= -972
Hope this helps! :)
What is 614,952 rounded to the nearest ten thousand
Answer:
610,000
Step-by-step explanation:
Answer:
610,000
Step-by-step explanation:
614,952 rounded to the nearest ten thousand place is 610,000.
hope this helps and is right :) p.s. i rlly need brainliest.
Use the Pythagorean theorem to find the length of the line
Answer:
This is one of my specialties so sit back, relax while I work on this for 5 mins :)
Step-by-step explanation:
The formula is a^2 + B^2 = c^2
Sooo
7^2 + 5^2 = c^2
49 + 25 = 74
√74 = √c^2
8.60232526 = c
8.60232526 rounded to the nearest tenth is 8.6
So there you go. Hope it helps!!
David wants to purchase a new fish tank. His current tank is 36 in. long, 12 in. wide, and 18 in. high. His new tank
will be 4 inches longer, 3 inches wider, and 6 inches higher. What will be the volume of his new tank?
Answer:
It should be 14400 square inches. Sorry if i'm wrong
Please help asap people kept giving me wrong answers. Due tonight in a couple hours +25pts
ES = ___ units
Round your answer to the nearest tenth.
The value of ES will be;
⇒ ES = 10.63 units
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The coordinate of E = (- 3, - 4)
The coordinate of S = (4, 4)
Now,
Since, The coordinate of E = (- 3, - 4)
The coordinate of S = (4, 4)
Hence, The value of ES is find as;
⇒ ES = √ (4 - (-3))² + (4 - (-4))²
= √ 7² + 8²
= √ 49 + 64
= √ 113
= 10.63
Thus, The value of ES = 10.63 units
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Are polynomials closed under addition?
Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.
Exponents of polynomials are whole numbers.
Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.
If an operation results in the production of another polynomial, the resulting polynomials will be closed.
The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.
The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.
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Round your answer to the nearest hundredth.
B
?
65
А
7.
Solve for x : 4x-6=x+9
4x - 6 = x + 9
4x - x = 9 + 6
3x = 15
[tex]x = \frac{15}{3} \\ [/tex]
x = 5 ...
Answer:
[tex]x =5[/tex]
Step-by-step explanation:
[tex]4x - 6=x+9[/tex]
Subtract x from both sides
[tex]4x -6-x=x+9-x[/tex]
[tex]3x-6=9[/tex]
Add 6 to both sides
[tex]3x-6+6=9+6[/tex]
[tex]3x=15[/tex]
Divide both sides by 3
[tex]\frac{3x}{3} = \frac{15}{3}[/tex]
[tex]x = 5[/tex]
How do you explain 2 3?
This is a coordinate pair of a point. 2 and 3 denotes X and Y coordinate respectively.
What is coordinate system?The system that is used to represent the location of points in the space is termed as coordinate system. There are two types of coordinate system such as polar and cartesian. In case system there are two reference axes which are perpendicular to each other.
In the cartesian system points are represented with respect to a vertical axis named Y axis and a horizontal axis named X axis.
How do we explain 2 3?We stated earlier that in the cartesian system a location of a point is identified by a pair of numerical terms.
So, 2, 3 indicates a pair of numerical terms. 2 denotes the X coordinate of the point and 3 denotes the Y coordinate of that point.
In the next, the distance of the point from X axis is 3 unit and distance from Y axis is 2 unit.
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Complete question is: In the point (2,3) which point denotes the y-coordinate.
The number of left-handed people in the world is one-tenth the number of right-handed people. The percent of right-handed people is nine times the percent of left-handed people and ambidextrous people combined. What percent of people are ambidextrous
According to question we can say that 1% percent of people are ambidextrous.
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
Let 'x' represent the percentage of left-handed people.
Let y represent the percentage of right-handed people.
Let z represent the percentage of ambidextrous people.
x = y/100
100x = y
y/100 = 9( x/100 + z/100)
y = 9x + 9Z
10x = 9x + 9z
x = 9z
x+y+z = 100
11x + x/9 = 100
100x/9 = 100
x = 9
z = 1%
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