Answer:
x + 2x - 3 = 26
Step-by-step explanation:
Define the variables:
Let x = length of Nate's car.Let y = length of Maya's car.If Maya's car is 3 inches less than 2 times the length of Nate's car, then:
⇒ y = 2x - 3
If the sum of the lengths of both cars is 26 inches, then:
⇒ x + y = 26
Substitute the found expression for y into the equation:
⇒ x + y = 26
⇒ x + (2x - 3) = 26
⇒ x + 2x - 3 = 26
Therefore, the equation to determine the lengths of Nate'a and Maya's cars is:
[tex]\boxed{x + 2x - 3 = 26}[/tex]
Solving the equation for x
⇒ x + 2x - 3 = 26
⇒ 3x - 3 = 26
⇒ 3x - 3 + 3 = 26 + 3
⇒ 3x = 29
⇒ 3x ÷ 3 = 29 ÷ 3
⇒ x = 9.7 in (nearest tenth)
Therefore, Nate's car is 9.7 in (nearest tenth).
To find the length of Maya's car, subtract the length of Nate's car from 26:
⇒ 26 - 9.7 = 16.3 in (nearest tenth).
Therefore, Maya's car is 16.3 in (nearest tenth).
Answer:
d) x + 2x - 3 = 26
Step-by-step explanation:
Given that,
→ Maya's car is 3 inches less than 2 times the length of Nate's car.
→ The sum of the lengths of both cars is 26 inches.
Now the equation will be,
→ x - 3 + 2x = 26
→ x + 2x - 3 = 26
→ 3x = 29
Hence, option (d) is correct answer.
Directions: Determine whether each relation is a function. Explain your answer.
Just need 16-18
From the rule for when a relation represents a function, we have that:
16) Is not a function.
17) Is a function.
18) Is not a function.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
For this problem, we have that:
In item 16, input 5 is mapped to outputs 2 and 4, hence it is not a function.In item 17, each input is mapped to only one output, hence it is a function.In item 18, input -2 is mapped to outputs 13 and 15, hence it is not a function.More can be learned about relations and functions at https://brainly.com/question/12463448
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Round 13.007 to the hundredths place value.
Answer:
13.01
Step-by-step explanation:
The zero next to the 7 is the hundredths place.
13.007
Drop the 7.
Now you have 13.00
Since 7 is from 5 to 9, the last zero goes up 1 to 1.
Answer: 13.01
Answer:
13.01
Step-by-step explanation:
13.00|7
When the number is 5 or higher round up
13.01
1. One-half of a number y is more than 22.
Answer:
1/2 y > 22
Solved: y > 44
Step-by-step explanation:
We are trying to write an inequality
One-half of a number y
1/2 y
is more than
>
22
1/2 y > 22
Solving the inequality
Multiply each side by 2
1/2y * 2 > 22*2
y > 44
Help its for a test grade
X-5y=8
4х+5y=7
Answer:
x = 3 y = -1
Step-by-step explanation:
x - 5y = 8
x = 5y + 8
replace x with 5y + 8 in the other equation
4(5y + 8) + 5y = 7
20y + 32 + 5y = 7
25y = 7 - 32
25y = -25
y = -25/25
y = -1
x = 5(-1) + 8
x = -5 + 8
x = 3
What is the value of c?
Enter your answer in the box.
Answer:
26 units
Step-by-step explanation:
By using the Pythagoras Theorem,
C^2 = A^2 + B^2
Substitute in given values for A and B.
C^2 = 10^2 + 24^2
= 100 + 576
= 676
[tex]c = \sqrt{676} \\ = 26[/tex]
Hope this helped! ^^
Sidenote: Pythagoras Theorem can only be used on right-angled triangles.
(solve the literal equation for y.)
6 - 3y = -6
Answer:
4
Step-by-step explanation:
The musical note E can be modeled by the function, y = asin(1320πx), where a = 1 and x is the time in seconds. Playing note E on your computer, you notice that it is not loud enough to be heard across the room.
What change can you make to the function to make note E louder than the original?
Using translation concepts, the note E would be louder with a higher amplitude of y, hence constant a has to be multiplied by a positive constant greater than 1.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the function is given by:
y = asin(1320πx)
The intensity of a sound is given by it's amplitude a, hence, to make the sound stronger, we need to vertically stretch the graph of y, which is done when constant a is multiplied by a positive constant greater than 1.
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8.) What is the circumference of a circle?
It is the perimeter of the circle?
It is the area of the circle?
Answer:
[tex]\large\boxed{\textsf{The Circumference is the Perimeter of the circle.}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to identfy what the Circumference is.}}[/tex]
[tex]\Large\underline{\textsf{What is the Circumference?}}[/tex]
[tex]\textsf{The Circumference is a fancy word to describe the sum of the arcs of a circle.}[/tex]
[tex]\textsf{The total of the area 'on' the circle is commonly referred to as the Perimeter.}[/tex]
[tex]\mathtt{Circumference = (diameter)\pi }[/tex]
What is the maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light i_0i 0 ?
The maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀ is given as -
When unpolarized light is polarized with 2 polarizers, this same intensity I = I₀cos2(Ф) (Malus' law) is obtained. When unpolarized light is polarized with just one polarizer, its intensity is reduced to half that of unpolarized light.What is polarization?Polarization is the property of wave oscillations having a definite direction relative to the wave's propagation direction. Transverse waves that can be polarized are EM waves. The polarization direction is defined as the direction parallel to the EM wave's electric field.
The effect of a polariser on polarised light is described by Malus' law, which states that-
One starts with unpolarized light.The first polariser suppresses the unaligned component of the unpolarised light and produces polarised light (at half the intensity of the input). In your notation, the intensity of this polarised output is I₀.The second polariser lets through a fraction (cos)²Ф of the polarised output from the first polariser, where is the angle between the polarisers' axes. So, once again,I₀ is the intensity of the polarised input to the second polariser, not the intensity of the unpolarised input to the two-polariser system. The output intensity is limited by this provision; I = I₀cos2(Ф)To know more about the polarization, here
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The correct question is -
What is the maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀.
Make a Prediction Predict the sum of -2 + 2. Explain
your prediction and check it using the number line.
Answer:
My prediction of the sum is 0.
Hope this helps :)
Step-by-step explanation:
It is 0 because if you owe 2 dollars and you pay it back with 2 dollars then you have 0 dollars owed.
--------------------> 2nd: 2 (positive two - move right)
<-------------------- 1st: - 2 (negative two - move left)
<----------l----------l-----------l----------l----------l--------->
-2 -1 0 1 2
Kind of confused with this problem, if you can’t see the image properly it says, “Find the standard form for the equation of the line which passes through the point (10,-49) and which has a y intercept of 1.”
Answer:
See below
Step-by-step explanation:
find slope between 0,1 and 10, -49
m = (-49-1) / (10-0) = -5
slope intercept form
y = mx + b
y = -5 x +1 re=arrange
5x + y = 1
Samuya is multiplying 0.7 by 0.003. how many zeros will be to the right of the decimal point in the product?
After multiplying 0.7 by 0.003 there are two zero to right of the decimal point in the product.
Here,
Samuya is multiplying 0.7 by 0.003.
We have to find, zeros will be to the right of the decimal point in the product.
What is Product?
The product of two numbers is the result you get when you multiply them together.
Now,
Product of 0.7 and 0.003 we get;
0.7 x 0.003 = 0.0021
Clearly, there are two zero to the right of the decimal point in the product.
So, After multiplying 0.7 by 0.003 there are two zero to right of the decimal point in the product.
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The mean of this data was found to be 42, while the median was 37. what does this tell you about the shape of this distribution?
Mean > median, the distribution is skewed to the right.
What is mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.So,
Given that age was documented in a survey of 8225 Americans.The mean was 42, and the median was 37.As a result, the median mean is used here.When the mean exceeds the median, we can say that the data is skewed to the right.If the mean is symmetrical, the median will coincide. If the mean differs from the median, the data is skewed rather than symmetrical.When mean > median, we have a skewed distribution to the right.Therefore, mean > median, the distribution is skewed to the right.
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The correct question is given below:
A survey was conducted from a random sample of 8225 Americans, and one variable that was recorded for each participant was their answer to the question, "How old are you?" The mean of this data was found to be 42, while the median was 37. What does this tell you about the shape of this distribution?
0
latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters. what are the possible numbers of minutes
latoya could add water?
use t for the number of minutes.
write your answer as an inequality solved for t.
The inequality is 16 + 5t ≥ 61 and it takes 9 minutes or more minutes to fill the tank with at least 61 liters of waters.
Inequality:
Inequality is defined as a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given,
Latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters.
Here we need to find the possible numbers of minutes Latoya could add water and we have to find the inequality also.
Let t be the number of minutes.
So, now we can start with 16 liters and every minute (t) you plan to add 5, the final product will have at least (≥) 61 so the equation would be:
=> 16 + 5t ≥ 61
=> 5t ≥ 61 - 16
=> 5t ≥ 45
=> t ≥ 45/5
=> t ≥ 9
So, Latoya need 9 minutes or more to fill the tank with at least 61 liters.
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60% of the marbles in a container are red and the rest are black. After another 9 black
marbles are added, the ratio of red and black marbles becomes 4: 3. How many black marbles
are there now?
Answer:
81
Step-by-step explanation:
Red marbles = r
Black marbles = b
Red : Black
60 : 40
r : b
40r = 60b
r = (60/40)b
Red : Black
4 : 3
r : b + 9
3r = 4(b+9)
3r = 4b + 36
3((60/40)b) = 4b + 36
(9/2)b = 4b + 36
(9/2)b - 4b = 36
(1/2)b = 36
b = 72 This is the original amount of black marbles
They added 9 after this, so
72 + 9 = 81
The sum of Melanie's and her brother's ages is 35. Four years from now, Melanie will be 5 years older than her brother. How old is Melanie? How old is her brother?
Answer:
Sum of ages is 35
Since there are two persons and it says four years from now, each year 2 more years will be added on to the 35 so year 1: 2years Year 2:4years Year 3:6years Year 4 : 8years
35+8= 43
Remember that Melanie will be 5 years older ( which she should have already been)
so 43+5= 48 ( Melanie's age)
and 48-5 = 43 ( Her brother's age)
Michael is planning a trip to Hooperville. On the map, it is 3.5 inches from his home town. The map’s scale is 1.5 inches : 50 miles. How far away is Hooperville from his home town?
The real distance between Hooperville and Michael's home town is 116.667 miles.
How to use scales to estimate distancesScales are ratios commonly used to contain great extensions of land in images and maps and offer a quick though efficient manner to estimate distances. The real distance between Hoopersville and Michael's home town can be found thorugh this formula:
d' = d / r
Where:
r - Scale, in inches per miled - Reduced distance, in inchesd' - Real distance, in milesIf we know that d = 3.5 in and r = 1.5 in / 50 mi, then the real distance between Hooperville and Michael's hown town is:
d' = 3.5 in / (1.5 in / 50 mi)
d' = 116.667 mi
The real distance between Hooperville and Michael's home town is 116.667 miles.
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In 8 years Jack will be three times as old as he is now. How old is he now?
Answer:
4 years old
Step-by-step explanation:
3x = x + 8
2x = 8
x = 4
Answer:
4 y/o
Step-by-step explanation:
x = age now
add 8 years
x+8 and this equals 3 times as old as he is now, or 3x
x+8 = 3x subtract 'x' from both sides
8 = 2x divide both sides by 2
x = 4 y/o
Show the correct steps and solution
After simplifying the expression, - ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y), we get the result as - 11 / 2 x + 4 y.
- ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y)
First we will multiply 2 and open the brackets.
So, we get that:
- 7 x + 3 y + 3/2 x + y
Combining the like terms, we get that:
= ( - 14 + 3 ) x / 2 + 3 y + y
Simplifying and solving the expression to obtain the result, we get that:
= - 11 / 2 x + 4 y.
Therefore, after simplifying the expression, - ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y), we get the result as - 11 / 2 x + 4 y.
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Write a quadratic function in standard form Vertex (1,9); passes through (4,6)
y = -3 ( x - 1 )² + 9 is quadratic function in standard form Vertex .
How does a parabola's vertex shape work?
The coordinates of the point where a parabola crosses its axis of symmetry can be determined using the vertex formula for parabolas. The point is the vertex (h,k). As is common knowledge, a parabola's standard equation is y = ax2+bx+c.given , Vertex = (1,9)
point = (4,6)
The formula is
y = a + ( x - h )² + k
where h = 1 , k = 9
then y = a ( x - 1 )² + 9
Find the value of
a when one of the points is ( 4,6)
6 = a ( 4 - 1 )² + 9
6 - 9 = 9a
-3 = 9a
a = -9/3 ⇒ -3
put value of a
y = a ( x - 1 )² + 9
y = -3 ( x - 1 )² + 9
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How is the quotient of 714 and 17 determined using
an area
model?
Enter your answers
in the boxes to complete the equations.
714 ÷ 17 = ( - 17 ) + ( ÷ 17)
714 ÷ 17 =
714 ÷ 17 =
Answer:
42 is your answer
Step-by-step explanation:
-lukelaws hope i helped if i did please make me brainliest if i got it wrong i am so sorry
Classify this polynomial. –8r4 + 2r2 + 3r hurry pls
Answer: -r(8r^3-2r-3)
Step-by-step explanation:
100 POINTS What is a term in Polynomials?
Answer:
Terms of a Polynomial
So, each part of a polynomial in an equation is a term. For example, in a polynomial, say, 2x2 + 5 +4, the number of terms will be 3.
Why is the standard deviation of the distribution of means generally smaller than the standard deviation of the population of individuals?
The standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.
The population of individuals is always smaller than the entire population, therefore the possibilities for variances will be lower with the sample than with the population. The higher the population, the greater the chances for deviation from the mean.
Therefore, the standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.
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The following table shows the number of hours some teachers in two schools expect students to spend on homework each week.
School A
9
14
15
17
17
7
15
6
6
School B
12
8
13
11
19
15
16
5
8
Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (5 points)
Part B: Are there any outliers present for either data set? Justify your answer mathematically. (5 points) (10 points)
Answer:
Part A: School A Interquartile range = 9.5. School B Interquartile range = 7.5
Part B: There are no outliers present for either data set.
Step-by-step explanation:
For Part A, school A interquantile range is 9.5. Five number summary of school A is minimum = 6, quarantine q1= 6.5, median = 14, quarantine q3 = 16, and maximum = 17. Calculate Q3-Q1 = 16 - 6.5 which gives you 9.5
For School B, the interquartile range is 7.5. Five number of summary of school B is minimum = 5, quarantine q1 = 8, median = 12, quarantine q3= 15.5, maximum = 19. IQR Range = Q3-Q1 = 15.5 - 8. Which gives you 7.5
For Part B: All the outcomes of school A in between the values of -7.75 and 30.25. So this means there is no outliers in school A. For school B, all the outcomes of school B in between the values of -3.25 and 26.75. So there are no outlines in school B.
Mrs. Martina wants to put a wire fence around her garden which is 12 feet long and 6 feet wide. How much fencing does she need?
If fencing costs $3 per foot, how much will it cost her to purchase the fence?
The cost for her to purchase the fence is $108.
How to calculate the cost?Since she wants to put a wire fence around her garden which is 12 feet long and 6 feet wide, the total perimeter will be:
= 2(length + width)
= 2(12 + 6)
= 36 feet
Therefore, the cost will be:
= Total feet × Amount
= 36 × $3
= $108
Therefore, the cost for her to purchase the fence is $108.
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Tyrone makes a scale drawing of his backyard. The scale from the backyard to the drawing is 2 ft to 1 in. The width of the patio on the drawing is 8 in. What is the width of Tyrone's actual patio? Show your work
Answer:
The width of Tyrone's actual patio is 16 feet
Step-by-step explanation:
[tex]\frac{2ft}{1in}[/tex] = [tex]\frac{x}{8}[/tex] If we look at what we know, we see that the scale tells us that 1 inch is proportional to 2 ft. What do we need to multiple 1 inch by to get 8 inches? 8. So, we multiply 2 feet by 8 to get the actual size of the patio which is 16 feet.
what’s the growth factor of 24,12,6,3,1.5
Answer:
0.5
Step-by-step explanation:
12/24 = 0.5
6/12 = 0.5
3/6 = 0.5
1.5/3 = 0.5
Answer: 0.5
Are any of the subsets of the real number system (real numbers, whole numbers, integers, rational
numbers, or irrational numbers) not closed under multiplication? Which onest Explain why
Step-by-step explanation:
If you multiply two real numbers, you will get another real number. There is no possibility of ever getting anything other than another real number.
Among the subsets of the real number system, the set of irrational numbers is not closed under multiplication.
We have,
Real Numbers: The set of real numbers is closed under multiplication. When you multiply two real numbers, the result is always a real number. For example, multiplying any two real numbers, such as 3.14 and 2.5, gives 7.85, which is also a real number.
Whole Numbers: The set of whole numbers is closed under multiplication.
When you multiply two whole numbers, the result is always another whole number. For example, multiplying 3 and 5 gives 15, which is also a whole number.
Integers: The set of integers is closed under multiplication.
When you multiply two integers, the result is always another integer.
For example, multiplying -4 and 7 gives -28, which is also an integer.
Rational Numbers: The set of rational numbers is closed under multiplication.
When you multiply two rational numbers, the result is always another rational number.
A rational number can be expressed as a fraction p/q, where p and q are integers and q is not zero.
When you multiply two fractions, the numerator and denominator are both integers and as long as the denominator is not zero, the result will still be a rational number.
However, the set of irrational numbers is not closed under multiplication.
An irrational number is a number that cannot be expressed as a fraction of two integers.
When you multiply two irrational numbers, the result may or may not be irrational.
Example:
√2 (square root of 2) is an irrational number, and √2 * √2 = 2, which is a rational number (integer 2).
So, the product of two irrational numbers (√2 * √2) is a rational number, not an irrational number.
Thus,
All subsets of the real number system (real numbers, whole numbers, integers, and rational numbers) are closed under multiplication, except for the subset of irrational numbers, which is not closed under multiplication.
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what's the answer? It's difficult to understand and my teacher doesn't really teach.
Step-by-step explanation:
So for questions 1 through 4, you're basically finding the number in the middle of the two letters. In question 1, D is above 7 on the number line and E is above 11. The mid-point would be 9.
For 5 and 6, we'll be using this formula: [tex](\frac{x_{1} + x_{2}}{2},\frac{y_{1} + y_{2}}{2})[/tex]
And now we just plug in the numbers from question 5 but it works the same way on 6 as well.
[tex](\frac{3 + 5}{2},\frac{1 + 3}{2})[/tex] => (8/2, 4/2)
Coordinate of the midpoint would be (4, 2).
Lastly, we follow this system in order to get the final answers:
(Answer below shown for question 7)
(x + 2)/2 = 5
x + 2 = 10
x = 8
(y + 0)/2 = 2
y + 0 = 4
y = 4
Missing endpoint is (8, 4)