Answer:
8.6
Step-by-step explanation:
Andrea is three times Nick's age. In 10 years, Andrea will be twelve years older than Nick.
What are their ages now?
Answer:
Nick is 6
Andrea is 18
Step-by-step explanation:
Sounds like a system of equations
Letting...
a = Andrea
n = Nick
Since she's 3 times the age, the first equation will be
a = 3n
Since in 10 years, Andrea will be 12 years older than Nick, we can write
a = n + 12
Since we have two a = ,we can set them equal to each other
3n = n + 12
Subtracting n
3n - n = 12
Now combining the n's (n is the same as 1n)
2n = 12
And last but not least, we can divide by 2
n = 6... so Nick is 6 right now.
Going back to our first equation of a = 3n, if we plug 6 in
a = 6(3) = 18.
Making Andrea 18 right now
6+10x=8x+12. What’s the answer?
Answer:
3
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 6 and 8x from both sides:
6 (-6) + 10x (-8x) = 8x (-8x) + 12 (-6)
10x - 8x = 12 - 6
2x = 6
Isolate the variable, x. Divide 2 from both sides:
(2x)/2 = (6)/2
x = 6/2
x = 3
3 is your answer.
~
What is the difference between a straightedge and a ruler?
Answer:
Last one
Step-by-step explanation:
........
....
...
Answer: Choice C)
A straightedge can create a straight line, but can't measure. A ruler can create straight lines and measure distance.
===================================================
Explanation:
A straight edge is anything straight you use to help draw straight lines. An example would be a piece of unmarked paper, or you can use a card perhaps. There are no markings on a straight edge to help measure distance. All you can do draw straight lines. A ruler is effectively a straightedge but with markings on it to help measure distance.
the owner of a professional basketball team claims that the mean attendance at games is over 30,000 and therefore the team needs a new arena. determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed
Simplify the Expression:
1. 5 x + 7 x − 3 + 10 x − 5 x − 20
a survey of 395 children given at a local elementary school showed that 175 like chocolate ice cream, 125 like pistachio ice cream, and 170 do not like chocolate or pistachio ice cream. how many children like at least one kind of ice cream mentioned in the survey?
The number of children who like both pistachio and chocolate ice cream is 73.
Here we have to find at least one kind of ice cream liked by the children.
It is given that the total number of children is 395. The number of children who don't like any ice cream is 170.
So we get the number of students who like one or both the ice cream is 395 - 170 = 225.
Here it is provided that 123 children like pistachio ice cream and 175 children like chocolate ice cream.
So the total number of children who like pistachio and chocolate ice cream is 175+ 123 = 298. Which cannot be greater than 225.
So the number of children who like both ice creams is 298 - 225 = 73.
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Factor.
20x2 – 19x + 3
Answer:
Here is your answer!
let $f(x) = (x+2)^2-5$. if the domain of $f$ is all real numbers, then $f$ does not have an inverse function, but if we restrict the domain of $f$ to an interval $[c,\infty)$, then $f$ may have an inverse function. what is the smallest value of $c$ we can use here, so that $f$ does have an inverse function?
The smallest value of c is -2. The interval where $f(x)$ is one-to-one, which means that each output has only one corresponding input. If we graph $f(x)$, we can see that it is a parabola that opens upwards with vertex $(-2,-5)$.
Since the parabola is symmetric with respect to the vertical line passing through the vertex, it will not pass the horizontal line test and therefore does not have an inverse function when the domain is all real numbers. However, if we restrict the domain to an interval $[c,\infty)$, where $c$ is some real number, the portion of the parabola to the right of the vertical line passing through the point $(c,0)$ will pass the horizontal line test and therefore have an inverse function.
To find the smallest value of $c$ that works, we need to find the $x$-coordinate of the point where the parabola intersects the vertical line passing through $(c,0)$. Setting $(x+2)^2-5=c$ and solving for $x$, we get $x=\pm\sqrt{c+5}-2$. Since we want the portion of the parabola to the right of the line $x=c$, we only need to consider the positive square root. Therefore, the smallest value of $c$ we can use here is $c=-5$, which gives us the $x$-coordinate of the point where the parabola intersects the line $x=-5$. This means that if we restrict the domain of $f(x)$ to $[-5,\infty)$, then $f(x)$ will have an inverse function.
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5) What is the slope of the line passing through the points (4, 5) and (0, -7)? Show all your work.
Answer:
3
Step-by-step explanation:
(-7 - 5)/(0 - 4)
(-12)/(-4)
3
The slope of the line passing through the points (4, 5) and (0, -7) is 3.
What is slope?
The slope of the line is the ratio of the rise to the run, or rise divided by the run. The slope measures steepness of a line.
Therefore,
slope = m = y₂ - y₁ / x₂ - x₁
(4, 5)(0, -7)
Hence,
x₁ = 4
x₂ = 0
y₁ = 5
y₂ = -7
Therefore,
m = -7 - 5 / 0 - 4
slope = -12 / -4
slope = 3
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What's the answer????????????
Answer:
x=3y
2(3y)+4y=20
6y+4y=20
10y=20
y=2
x=6
x=6, y=2
Let me know if this helps!
Tony bought a $25 hornets t-shirt and used a coupon for a 25% discount. Keith bought an identical t-shirt at a different store for $19.95. which statement is true?
A.Tony paid $2.55 less than keith paid.
B.Tony paid $1.20 less than keith paid.
C.Keith paid $2.55 less than tony paid.
D.Keith paid $1.20 less than tony paid.
Answer: Tony paid $1.20 less than Keith paid.
Step-by-step explanation: Easy math, try asking your teacher for help. It takes time.
The ratio of red to blue marbles in the bag is 5 to 3. If there are 20 less blue marbles than red, how many blue marbles are in the bag?
Answer:
30
Step-by-step explanation:
red : blue = 5:3
since difference between 5&3 is automatically 2....then just add 0 to 3
which box plot a, b, or c is a reasonable summary of the data used to create the histogram? there are 16 data points.
The boxplot which is reasonable to the summary of the data used to create the histogram is equals to boxplot A. So, correct answer is option (c).
Histogram is a graph which discribes the distribution of data by using of bars of different heights and same width. In this problem, we'll have a histogram and 3 box plots as box plot A, box plot B and box plot C, and we have to choose here which of these 3 box spots is a reasonable summary of the data. We can see that the histogram in above figure is skewed to left because it's maximum data present on the right end. The box plot C, is representing a normally distributed data, but are data is right side distributed so, it is wrong. Similarly, as we see box plot B shows distribution of data in left end, which is also not right choice. So, boxplot A is correct because it's showing the maximum data and the median where we have. We can see the median line over her median on the right hand. Thus, data is very highly negatively skewed hence boxplot A is appropriate.
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Complete question:
See the above figure, which box plot a, b, or c is a reasonable summary of the data used to create the histogram? there are 16 data points.
a) boxplot C
b) boxplot B
c) boxplot A
Solve for b in this equation. 11 - b = 6
Answer:
5
Step-by-step explanation:
At Charles School, 1/5 of the 75 students in seventh grade play in the jazz band. how many seventh graders play in the jazz band?
Answer:
15
Step-by-step explanation:
15 seventh graders play in the jazz band as per the given ratio.
What is the ratio?One quantity can be expressed as a fraction of other quantities using a ratio, which is a number. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given At Charles School, 1/5 of the 75 students in seventh-grade play in the jazz band.
In the form of a ratio
1/5 the students out of 75 play in the jazz band
Total students play in the jazz band = 75* 1/5
Total students play in the jazz band = 15
Therefore, The jazz band has 15 seventh graders playing according to the ratio.
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Select all that apply
Answer:
cosA &cos C
hope it helps...
the residual plots from two different sets of bivariate data are graphed below. explain, using evidence from graph a and graph b which graph indicates
According to the evidence from graph a and graph b, graph a indicates that the model for the data was a good fit because it is a random.
Hence, the correct option is B.
Based on graph a, the residual plot shows a random scattering of points around the horizontal line at y=0. This indicates that the residuals (the differences between the observed and predicted values) are distributed randomly and do not show any clear pattern. This suggests that the data points are evenly distributed around the regression line, indicating a good fit for a linear regression model.
On the other hand, graph b shows a residual plot with a clear pattern or trend. The residuals are not randomly scattered, but instead show a curved pattern or a fan-like shape. This indicates that the model used to fit the data may not be appropriate, as it is not capturing the underlying relationship between the variables accurately.
Hence, the correct option is B.
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-- The given question is incomplete, the complete question is
"The residual plots from two different sets of bivariate data are graphed below. Explain, using evidence from graph a and graph b which graph indicates that the model for the data was a good fit and what is the reason?
A. Graph A because it is symmetrical
B. Graph A because it is random
C. Graph B because there is a pattern
D. Graph B because it is symmetrical" --
During testing, the experimental probability of completing a new game with a perfect score was found to be StartFraction 1 over 500 EndFraction. If 1,000,000 people buy and play the game when it is released, how many players will complete the game with a perfect score?
Given: 1/500 and 1,000,000
Multiply 1/500 & 1,000,000
1/500 * 1,000,000 = 2000
Thus, 2000 people are likely to complete the game with a perfect score
Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. the first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.
1. Write an equation for each tank representing the total amount of water in gallons in the tank, y, in terms of the number of hours, x, that the tank drains
2. what is the solution to this system of equations.
3. suppose Aiko starts draining the tanks at the same time. When will both tanks have the same amount of water? How much water is in each tank at that time
The answers to each part is mentioned above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.
( 1 ) -Equation for tank {1} -
y = 175 - 25x
Equation for tank {2} -
y = 200 - 30x
( 2 ) -For the solution we can write -
175 - 25x = 200 - 30x
- 25x + 30x = 200 - 175
5x = 25
x = 5
and
y = 200 - 150
y = 50
( 3 ) -For the same amount of water we can write -
175 - 25x = 200 - 30x
- 25x + 30x = 200 - 175
5x = 25
x = 5 hours
In tank (1), there is : 175 - 25 x 5 = 50 gallons
In tank (2), there is : 200 - 30 x 5 = 50 gallons
Therefore, the answers to each part is mentioned above.
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On a scale 1 3/4 inches represent 50 miles. How many miles are represented by 7 inches?
Answer:
200 miles
Step-by-step explanation:
1 3/4 can be turned into a decimal as 1.75
Now let’s create fractions to prepare for cross multiplication
1.75/50=7/x
1.75x=7(50)
1.75x=350
/1.75. /1.75
x=200
200 miles
hopes this helps please mark brainliest
Explain arithmetic operations with whole numbers, integers, fractions, and decimals.When solving equations, what is done to one side of the equation, must also be done to the other side. Why?
Adding two numbers combines their values
Subtracting one number from another finds the difference between the two values
Multiplying two numbers gives the product of their values
Dividing one number by another gives the quotient of their values
By performing the same operations on both sides, to maintain the balance and validity of the equation.
Arithmetic Operations with Whole Numbers, Integers, Fractions, and Decimals:
1. Addition: Adding two numbers combines their values. For example,
2 + 3 = 5.
This operation is commutative, meaning the order of numbers doesn't affect the result.
2. Subtraction: Subtracting one number from another finds the difference between the two values. For example,
5 - 3 = 2.
This operation is not commutative since changing the order of numbers will yield a different result.
3. Multiplication: Multiplying two numbers gives the product of their values.
For example, 2 * 3 = 6.
This operation is commutative.
4. Division: Dividing one number by another gives the quotient of their values. For example,
6 / 2 = 3.
Division is not commutative, and it's important to note that division by zero is undefined.
When solving equations, what is done to one side of the equation must also be done to the other side. This is because an equation represents a balance or equality between two expressions. The goal is to isolate the variable on one side of the equation and keep the equation balanced.
By performing the same operation on both sides of the equation, maintain equality. If only performed an operation on one side, the equation would become unbalanced, and the equality would be lost.
For example, let's solve the equation 2x + 5 = 11 for x:
1. Start with the equation:
2x + 5 = 11.
2. To isolate the term with x, subtract 5 from both sides:
2x + 5 - 5 = 11 - 5.
This simplifies to:
2x = 6.
3. Finally, divide both sides by 2 to solve for x:
(2x) / 2 = 6 / 2.
This gives the solution:
x = 3.
If only subtracted 5 from one side of the equation, the equality would be broken, and the solution would be incorrect. By performing the same operations on both sides, maintain the balance and validity of the equation.
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a 6 foot tall man casts a shadow that is 9 ft long. At the same time, a tree nearby casts a 48 ft shadow. how tall is the tree
Answer:
32 ft tall
Step-by-step explanation:
Since a 6 ft man casts a shadow 9 ft long, the shadow is 3/2 of the actual object/person.
SINCE THE TREE'S SHADOW IS AT THE SAME TIME, THE HEIGHT IS THE SAME RULE.
We know the tree's shadow is 48 ft.
--> 48/3 = 16
16 x 2 = 32
32 ft tall
Hope this helps!
Answer: 32ft tall
Step-by-step explanation:
Square-based pyramid
AC = 10 cm
14 cm
try matway
Step-by-step explanation:
1/6 4/6 3/6 least to greatest
Answer:
1/6 - 3/6 - 4/6
Step-by-step explanation:
because im right
Answer:
1/6, 3/6, 4/6
Step-by-step explanation:
its a basic question since there all have a denominater of 6. you go bye the numererator high to lower.
pls helpme with this
======================================================
Explanation:
Pick two points from the table such as (1,7) and (2,14)
Apply the slope formula.
\((x_1,y_1) = (1,7) \text{ and } (x_2,y_2) = (2,14)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{14 - 7}{2 - 1}\\\\m = \frac{7}{1}\\\\m = 7\\\\\)
This means y = mx+b updates to y = 7x+b
Plug a point like (1,7) into that equation to solve for b.
y = 7x+b
7 = 7*1+b
7 = 7+b
7-7 = b
0 = b
b = 0
We go from y = 7x+b to y = 7x+0
That simplifies to the final answer of y = 7x
-------------------
Check:
Plug x = 2 to get
y = 7x
y = 7*2
y = 14
This shows (2,14) is on the line, and it matches with the table.
I'll let you check the other x values.
Another way to verify is to use a graphing app like GeoGebra or Desmos.
Answer: y+7x
Step-by-step explanation: y equals to 7x because 7x1 is 1 and vice versa.
Here are the 30 best lifetime baseball batting averages of all time, arranged in
order from lowest to highest:
0.329, 0.330, 0.331, 0.331,0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336,
0.337, 0.338, 0.338, 0.338, 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342,
0.344, 0.344, 0.345, 0.346, 0.349, 0.356, 0.358, 0.366
A stemplot is one way to display these batting averages, as shown below. In
this type of display, the entry 0.3616 denotes one occurrence of the batting
average
0.3219
0.33 011 3 3 3 4 4 4-6 7 8 8 8
0.34 100 1 1 2 2 2 4 4 5 6 9
0.35 168
0.3616
JEET
O A. 0.360
OB. 0.336
O C. 0.3606
O D. 0 366
Answer:
D. 0.366
Step-by-step explanation:
Hello!
A stemplot is a way of arranging a data set.
In the stem you'll find the integer and first two decimal digits of the batting average, because these values are repeated several times.
In the leafs you'll find the third decimal digit.
So for the first value of the stem "0.32" there is only one observation:
0.329 ⇒ 0.32 | 9
For the second value "0.33" correspond 14 observations: 0.330, 0.331, 0.331,0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336, 0.337, 0.338, 0.338, 0.338
0.33 | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8
For the third value "0.34" correspond 12 observations: 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342, 0.344, 0.344, 0.345, 0.346, 0.349
0.34 | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9
For the fifth value "0.35" and the sixth value "0.36" there is only one observation, so, as happened with the first one, these values of the stem will only have one "leaf"
0.358 ⇒ 0.35 | 8
0.366 ⇒ 0.36 | 6
So the whole stem plot for this 30 observations is:
Stem | Leafs
0.32 | 9
0.33 | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8
0.34 | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9
0.35 | 8
0.36 | 6
Considering this, the correct option is D
I hope this helps!
6. complete the interpretation for the p-value: if delta and united flights are (equally, not equally) on time, then the chance that we see a sample statistic of or any statistic (larger, smaller) is .
If delta and united flights are not equally on time, then the chance that we see a sample statistic of not equally or any statistic (larger or smaller) is larger, 0.05.
This is because the probability of a sample statistic being either larger or smaller (relative to the population) is always greater than the probability of it being equal. The p-value of 0.05 indicates that there is a 5% probability that the difference in on-time performance between Delta and United flights is due to chance.
The p-value of 0.05 indicates that there is a 5% chance that the observed sample statistic (of being larger or smaller than expected) is due to chance alone.
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The complete question is:
Complete the interpretation for the p-value:
If delta and united flights are (equally, not equally) on time, then the chance that we see a sample statistic of ______ or any statistic (larger, smaller) is _______ .
Express in standard form :
42634.7
Answer:
ans is 42635 when expressed in standard form
Step-by-step explanation:
The radius of a sphere is decreasing at a rate of 2 cm/sec. At the instant when the radius of the sphere is 3cm, what is the rate pf change, in square cm/sec, of the surface area of the sphere? (The surface area S of a sphere with radius r is S = 4πr2.)
The rate of change of the surface area of the sphere is -48 π square cm/ sec.
We're given that the radius of a sphere is dwindling at a rate of 2 cm/ sec. Let's denote the sphere's radius by r and the rate of change of the compass by dr/ dt. In this case, dr/ dt = -2( negative because the radius is dwindling).
We're asked to find the rate of change, in square cm/ sec, of the face area of the sphere at the moment when the compass is 3 cm. The face area S of a sphere with radius r is given by the formula S = 4π\(r^{2}\).
We can use the chain rule of differentiation to find the rate of change of S with respect to time.
dS/ dt = dS/ dr * dr/ dt
We can find dS dr by secerning the formula for S with respect to r
dS/ dr = 8πr
Now we can substitute r = 3 and dr/ dt = -2 into the expression for dS/ dt
dS/ dt = dS/ dr * dr/ dt
dS/ dt = 8πr *(- 2)( substituting r = 3 and dr/ dt = -2)
dS/ dt = 8π( 3)(- 2)
dS/ dt = -48 π
thus, when the compass of the sphere is 3 cm, the rate of change of the face area of the sphere is -48 π square cm/ sec. The negative sign indicates that the face area is decreasing.
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What is the step by step solution to: x^2 -6x +9 =0
Answer:
Step-by-step explanation:
x²-6x+9 = 0
Factor
(x-3)(x-3) = 0
x = 3
Answer:
x = 3
Step-by-step explanation:
We need to find to numbers that sum up to make -6 but their product is +9 :
-3 and -3 will do :
Now we split -6x into -3x and -3x :
x² -3x -3x + 9 = 0
Factorise the first 2 terms:
x(x-3)
Keeping the terms inside the bracket the same as the 1st one factorise the next 2 terms :
x(x-3)-3(x-3) = 0
Keep 1 bracket and make another bracket out of the terms that are outside the brackets :
(x-3)(x-3) = 0
Using the integer rule :
a × 0 = 0
We know that one of these brackets are equal to zero :
x-3= 0
Add 3 to both sides :
x = 3
The other bracket is the same so our final answer is x = 3
Hope this helped and have a good day
It would be nice of you to give brainliest