Explanation:
The denominator of "miles per hour" is 1 hour, a single unit. When the denominator of a rate is 1 unit, it is called a unit rate.
how do i write ten more shoes than ruben as a variable
Answer:
s + 10
Step-by-step explanation:
Ruben has s number of shoes. Then, 10 more shoes that Ruben has is
s + 10
Final answer:
To write an expression for 'ten more shoes than Ruben,' define a variable for Ruben's shoes, for example, R, and then add 10. The expression is R + 10.
Explanation:
If you want to write an expression for "ten more shoes than Ruben," you need to start by defining a variable for the number of shoes that Ruben has. Let's say that R represents the number of shoes Ruben has. Then, to express "ten more shoes than Ruben," you simply add 10 to that variable. Therefore, the expression would be R + 10. This straightforward notation clarifies the relationship between Ruben's shoe count and the additional ten pairs. By employing variables and simple arithmetic operations, such as addition, this expression succinctly conveys the concept of having ten more shoes than Ruben, facilitating mathematical communication and problem-solving.
the expression (x^3)(x^-17) is equivalent to x^n. what is the value of n record your answer and fill in the bubbles on the answer document
Can anybody answer all the questions
Answer with explanation:
1.→Answer Written by Jack is Incorrect.
[tex]m^n=\text{exponent}\\\\\frac{x^a}{x^b}=x^{a-b}\\\\x^a \times x^b=x^{a+b}[/tex]
Error:Instead of subtracting powers,jack has added powers of same exponent.
Correct Solution:
[tex]=\frac{54\times x^9 \times y^8}{6\times x^3 \times y^4}\\\\ \text{Here ,correct answer should be}=9\times x^{9-3} \times y^{8-4}\\\\=9 x^6 y^4[/tex]
2.Initial Amount, a=78,000
Rate =3 %=0.03
Error: Rate percent should be divided by 100, to get the value of b.
So, b= 0.03
Correct Solution:
Exponential growth is given by
[tex]y=a\times b^x\\\\y=78,000\times (0.03)^x[/tex]
3.The Expression is
[tex]m^2-13 m -30\\\\a=1, b= -13,c= -30\\\\ac=-30\\\\b=-13= -15 +2,as -15 \times 2 = -30\\\\\text{Equivalent expression}=(m-15)(m+2)[/tex]
Option A: (m-15)(m+2)
[tex]4.\rightarrow x^n=(x^3) \times (x^{-17})\\\\=\text{using law of indices},x^a\times x^b=x^{a+b}\\\\x^n=x^{3-17}\\\\x^n=x^{-14}\\\\n=-14[/tex]
The equivalent of an expression is the other form of the expression.
The equivalent expression is: [tex]\mathbf{x^{-14}}[/tex]
The expression is given as:
[tex]\mathbf{(x^3)(x^{-17})}[/tex]
Remove brackets
[tex]\mathbf{(x^3)(x^{-17}) = x^3 \times x^{-17}}[/tex]
Apply law of indices
[tex]\mathbf{(x^3)(x^{-17}) = x^{3-17}}[/tex]
[tex]\mathbf{(x^3)(x^{-17}) = x^{-14}}[/tex]
Hence, the equivalent expression is: [tex]\mathbf{x^{-14}}[/tex]
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Rewrite the expression using positive exponents:
1.) y^-3 2.) x^-5 3.) 3x^4
Negative exponents work like this: you have to consider the multiplicative inverse of the positive exponent.
So you have
[tex] y={-3} = \dfrac{1}{y^3},\quad x^{-5} = \dfrac{1}{x^5}[/tex]
The third expression already contains positive exponents only, you don't have to do anything.
What is the first quartile of this data set
Answer:
C:12
Step-by-step explanation:
should be 13.5
The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set.
so the middle number of 10,11,12,15,17,19 is 13.5 since 12+15=27/2=13.5
the closest answer choice is C! Hope this helped!
Answer:
The correct option is C.
Step-by-step explanation:
The given data set is
10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38
Divide the data in two equal parts.
(10, 11, 12, 15, 17), 19, (22, 24, 29, 33, 38)
Divide each parenthesis in two equal parts.
(10, 11), 12, (15, 17), 19, (22, 24), 29, (33, 38)
The first quartile is 12, second quartile or median is 19 and third quartile is 29.
Since the first quartile of the data set is 12 Therefore, the correct option is C.
Jane has 2/3 of a lemon pie left over after Easter.she decided to give 1/2 of it to her sister.How much of the whole lemon pie was given to Jane's sister?
Answer:
1/3
Step-by-step explanation:
1/2 of 2/3 = 1/2·2/3 = (1·2)/(2·3) = 1/3
Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
all are corespondent to each lateral line
LOTS OF POINTS!!! HELP ASAP Consider triangle QRS. The legs each have a length of 10 units. What is the length of the hypotenuse of the triangle? 5 units 5 square root of 2 units 10 units 10 square root of 2 units
Answer:
[tex]10\sqrt{2}[/tex]
Step-by-step explanation:
Pythagorean Theorem
QS^2+SR^2=QR^2
10^2+10^2=QR^2
100+100=QR^2
200=QR^2
[tex]\sqrt{200}=QR[/tex]
[tex]10\sqrt{2}[/tex]
Answer:
In right Δ QRS, right angled at , S.
By Pythagorean theorem
→(Hypotenuse)²=(Altitude)^2 +(Base)²
→ Q S² + SR² = QR²
→10² +10²= QR²
→ QR²=100+100
→ QR²=200
[tex]QR=\sqrt{200}\\\\ QR=\sqrt{10 \times 10 \times 2}\\\\ QR=10\sqrt{2}[/tex]
Option D
Hypotenuse[tex]=10\sqrt{2}[/tex] units
PLEASE PLEASE PLEASE PLEASE HELP ME!! I'LL GIVE POINTS, BRAINLY, AND FRIEND!! :)
In order to sell a piece of land an owner must indicate the boundary of the property and acreage of the land. To model the scenario, create a composite shape that represents the land. Explain how to find the length of the boundary and the acreage of the property with the composite shape.
So just say the piece of land is in the shape of a rectangle and a triangle put together. To find the length (perimeter) add each sides up and subtract the line where the two shapes meet. To find the acreage (area) find the area of the rectangle (length*width) and add the area of the triangle (1/2*base*height)
The value of a stock market decreases a total of 85 points over a 15 minute period of trading. How much does the stock value change by points per minute
Answer:
-5 2/3 points per minute
Step-by-step explanation:
change / time = (-85 points)/(15 minutes) = -17/3 points/minute = -5 2/3 points/minute
HELP PLEASE!! IM REALLY STUPID!! // You have nickels and dimes in your wallet with a total value of $1.10. You have 17 coins in all. Write and solve a system of linear equations to find the number x of nickels and y of dimes ( I’m not in college Btw I’m in middle school Idk why it says that lol)
Answer:
[tex]x=12[/tex] (12 nickels))
[tex]y=5[/tex] (5 dimes)
Step-by-step explanation:
Based on the information given in the problem, you can set up the following system of linear equations, where:
x: number of nickels.
y: number of dimes.
Then
FIRST EQUATION: [tex]x+y=17[/tex]
SECOND EQUATION: [tex]5x+10y=110[/tex] (in cents)
You can apply the Substitution method:
- Solve for x from the first equation.
- Substitute into the second equation and solve for y.
Then:
[tex]x=17-y[/tex]
[tex]5(17-y)+10y=110\\85-5y+10y=110\\5y=25\\y=5[/tex]
- Find x:
[tex]x=17-5\\x=12[/tex]
Azarai is looking to purchase a new pair of basketball shorts costing $40. The New Jersey state tax rate is 7.5 percent. What final price must he pay??? Plzzz I will give you 100 points
Answer:
$43.00
Step-by-step explanation:
final price = marked price + tax
= marked price + (tax rate) · (marked price)
= (marked pric) · (1 + tax rate)
= $40.00 · 1.075
= $43.00
Kyle is saving his money to buy a computer for $300. He has already saved $75 and plans to save an additional $22.50 each day. Write an equation for the number of days Kyle will need to save in order to buy the computer
Answer:
75 + 22.50d = 300
Step-by-step explanation:
The equation sums the amount Kyle currently has (75) with the amount he saves in d days (22.50d). It sets that total to 300, since Kyle hopes to save a total of $300 in d days.
What is the distance between (-5, 4) and (-1, 4)?
Answer:
4 units
Step-by-step explanation:
The distance from x=-5 to x=-1 on the line y=4 is -1-(-5) = -1+5 = 4 units.
_____
It might help to plot the points on a graph and count the grid squares between them.
Answer:
4 units
Step-by-step explanation:
on edge
What is the next number? 3 4 6 9 13 18 24 29 31 32 33
the next number can be 34 as the sequence goes in difference of 1,2,3,4,5,6,5,2,1,1so I think it will continue with sequence 1
The value of the next number is 34
What is sequence?A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a series is defined as the sum of the elements of a sequence.
There are two types of sequence, the arithmetic sequence and geometry sequence.
Example of arithmetic sequence is 2,4,6 ,8, 10... and we get the next number by adding 2. Also
Example of geometry sequence is 2,4,8,16,32... we get the next number by multiplying 2.
From the sequence above the next number will be 34 because the last three number has a common difference of 1.
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Cost to store: ?
Markup: 80%
Selling Price: $100.80. What is the cost to store?
Given a markup of 80% and a selling price of $100.80, the cost price is approximately $56. Subtracting this from the selling price yields a cost to store of $44.80.
To find the cost to store, we need to first calculate the cost price using the selling price and the markup percentage.
Given:
- Markup percentage: 80%
- Selling price: $100.80
Step 1: Calculate the cost price using the formula:
[tex]\[ \text{Cost Price} = \frac{\text{Selling Price}}{1 + \frac{\text{Markup Percentage}}{100}} \][/tex]
Substitute the given values:
[tex]\[ \text{Cost Price} = \frac{100.80}{1 + \frac{80}{100}} \][/tex]
[tex]\[ \text{Cost Price} = \frac{100.80}{1 + 0.80} \][/tex]
[tex]\[ \text{Cost Price} = \frac{100.80}{1.80} \][/tex]
[tex]\[ \text{Cost Price} ≈ 56 \][/tex]
Step 2: Calculate the cost to store by subtracting the cost price from the selling price:
[tex]\[ \text{Cost to store} = \text{Selling Price} - \text{Cost Price} \][/tex]
[tex]\[ \text{Cost to store} = 100.80 - 56 \][/tex]
[tex]\[ \text{Cost to store} = 44.80 \][/tex]
So, the cost to store is $44.80.
Which statement is true? A. 2x – 1 = 13 and x = 6 B. 2x – 1 = 13 and x = 7 C. 2x + 1 = 13 and x = 7 D. 2x – 1 = 13 and x = 11
Answer:
B. 2x – 1 = 13 and x = 7
Step-by-step explanation:
We are given 4 equations and a solution for each. We have to tell which of the given solution satisfies the given equation.
Option A.
2x -1 = 13 and x = 6
Using this value in the equation, we get:
2(6) -1 = 13
12 - 1 = 13
11 = 13, which is not true. Hence this option is not valid
Option B.
2x - 1 = 13 and x = 7
Using the value in the equation, we get:
2(7) - 1 =13
14 - 1 =13
13 = 13, which is true. Hence this option is valid.
Option C.
2x + 1 =13 and x = 7
Using the value in the equation, we get:
2(7) + 1 = 13
15 = 13, which is not true. So this option is not valid
Option D.
2x - 1 = 13 and x = 11
Using this value in the equation, we get:
2(11) - 1 = 13
21 = 13, which is not true. Hence this option is not valid.
What is the mad of this data set {5,12,1,6,11}.
Enter your answer in the box.
[ ]
Answer:
7
Step-by-step explanation:
Add them and hen divide by how many numbers there are
Complete the square to determine the maximum or minimum value of the function defined by the expression.
−x2^2 − 6x + 6
A) minimum value at 3
B) maximum value at 15
C) minimum value at −1
D) minimum value at −6
Answer:
B) maximum at 15
Step-by-step explanation:
Factor the leading coefficient from the first two terms.
-(x^2 +6x) +6
Add the square of half the x-coefficient inside parentheses and subtract the same quantity outside.
-(x^2 +6x +9) +6 -(-9)
-(x +3)^2 +15
Compared to the form
a(x -h)^2 +k
we find a=-1, h=-3, k=15. The negative vertical scale factor (a=-1) means the parabola opens downward. The vertex is located at (h, k) = (-3, 15).
The maximum value is 15.
I don’t get it Can Someone help me??
Answer:
63.7%
Step-by-step explanation:
If a point is chosen from the circle at random, the probability it came from the shaded region is the ratio of the area of the shaded region (square) to the area of the circle.
area of square = (1/2)(diagonal)^2 = (1/2)·(2 in)^2 = 2 in^2
area of circle = πr^2 = π·(1 in)^2 = π in^2
Fraction of circle that is shaded = (square area)/(circle area) = 2/π ≈ 63.7%
63.7% good luck hope it’s right
Where would I put the dot ? Please help thank you if you do!
put it on negative three
Answer:
Draw an open circle at -4 and shade in the line to the left of -4.
Step-by-step explanation:
x < -4 means that the number is to the left of -4 on the number line.
To graph the inequality, draw an open circle at -4 to show that the number cannot be -4.
However, the number can be anywhere to the left of -4, so you shade in that part of the line.
Solve: -2y^2+x+24y-69=0
Answer:
x=2y^2 -24y + 69
Step-by-step explanation: Move the expression to the right side and change its sign.
Find the area of this regular polygon round to nearest tenth
Answer:
[tex]A=163.9in^2[/tex]
Step-by-step explanation:
Let's use the regular polygon area formula when given the radius.
[tex]A=\frac{(r^{2})(n)sin(\frac{360}{n})}{2}[/tex]
r is radius
n is the number of sides
Let's plug in the proper values into this equation and simplify:
[tex]A=\frac{(7.74^{2})(7)sin(\frac{360}{7})}{2}[/tex]
[tex]A=\frac{(59.9076)(7)(0.78183148)}{2}[/tex]
[tex]A=\frac{327.86353299}{2}[/tex]
[tex]A=163.93176649[/tex]
Jasmine went shopping to a store and spent $56 on accessories and clothes. She spent $18 more on clothes than on accessories. write and sooce a system of equations to find how much she spent on each.
Please define x and y variables
and write two equations with the information given in y=mx+b
(order of y=mx+b can be changed)
please do not go any further than that. .
Answer:
Let x and y represent the amounts spent on accessories and clothes, respectivelyx + y = 56 . . . or y = -x + 56y - x = 18 . . . or y = x + 18Step-by-step explanation:
With the variables defined as above, the total amount spent is ...
x + y = 56 . . . . . the amount spent on accessories and clothes
When the amount spent on accessories is subtracted from the amount spent on clothes, the result is $18, so we can write another equation that says this:
y - x = 18
Both equations can be rearranged to put y alone on the left. In the first case, we add -x to both sides of the equation. In the second case, we add x to both sides of the equation.
What is the volume of the sphere shown below??
R=13
Here is your answer
D. [tex]\frac{8788}{3}[/tex]π [tex]{units}^{3}[/tex]
REASON:
Formula for volume of sphere
= 4/3×π× r^3
Here, r= 13
So,
volume=4/3×π× 13^3
= 4/3×π× 2197
= 8788/3 ×π
HOPE IT IS USEFUL
The volume of the sphere is [tex]\bold{\frac{8788}{3} \pi ~~unit^3}[/tex]
The correct answer is option (D).
What is the volume of the sphere?V = (4/3) × π × r³, where 'r' is the radius of the sphere
For given example,
radius of the sphere (R) = 13
Using the formula o the volume of the sphere,
V = (4/3) × π × R³
V = (4/3) × π × 13³
V = 8788/3 π cubic units.
Therefore, the volume of the sphere is [tex]\frac{8788}{3} \pi[/tex] cubic units.
The correct answer is option (D) [tex]\frac{8788}{3} \pi ~~unit^3[/tex]
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What is the place value of the 9 in the number 922,428? A) Ninety B) Nine hundred C) Ninety thousand D) Nine hundred thousand I need this answer by today for usatestprep.com.
Hey there!
The correct answer is D. Nine Hundred Thousand
This is the place it’s in => 900,000
Hope this helps you!
God bless ❤️
Brainliest would be appreciated!
xXxGolferGirlxXx
Find the value of x. Round your answer to the nearest tenth.
The diagram is not drawn to scale
Answer: 2.3
Step-by-step explanation:
The triangle shown in the image attached is a right triangle.
Therefore, you can calculate the missing lenght of the triangle (x), by applying the proccedure shown below:
- Apply [tex]tan\alpha=\frac{opposite}{adjacent}[/tex]
- Substitute values.
- Solve for the missing side x.
Therefore, you obtain the following result:
[tex]tan\alpha=\frac{opposite}{adjacent}\\tan(25)=\frac{x}{5}\\x=5*tan(25)\\x=2.3[/tex]
Answer:
The value of x = 2.3 units to the nearest tenth
Step-by-step explanation:
* The triangle is right angle triangle
- We can use one of the trigonometry functions to find the value of x
∵ The measure of the one of the acute angle is 25°
∵ The length of the adjacent side of the angle is 5 units
∵ The length of the opposite side of the angle is x
- because we have opposite and adjacent of the given angle
∴ We will use the tan function
∵ tanФ = opposite to Ф/adjacent to Ф
∴ tan25 = x/5 ⇒ by using cross-multiplication
∴ x = 5 × tan25 = 2.33 ≅ 2.3
∴ The value of x = 2.3 units to the nearest tenth
please help me w/H.W please show the work
1) 29
2) -15
//Hope this helps.
Answer:
1). (3² - 4²) = 29
2). 5a - 7b + b² = -15
Step-by-step explanation:
Points to remember
1) (a² - b²) = (a + b) (a - b)
Solve 22 - (3² - 4²)
To find (3² - 4²)
(3² - 4²) can be written as,
(3² - 4²) = (3 + 4 ) (3 - 4) = 7 * -1 = -7
22 - (3² - 4²) = 22 - (-7) = 22 + 7 = 29
22 - (3² - 4²) = 29
To solve 5a - 7b + b²for a = -1 and b= 5
Substitute the value of a and b in given expression we get,
5a - 7b + b² = (5 * -1) - (7 * 5) + 5²
= -5 - 35 + 25 = -15
Therefore 5a - 7b + b² = -15
Which of the following statements is not always true?
A. The points that lie on the graph of a linear function lie along a straight line.
B. The coordinates of points that lie on the graph of a linear equation satisfy the equation.
C. The slope of the line between any two points on a linear function is constant. D. A table of values represents points that lie on the graph of a linear function.
Answer:
D. A table of values represents points that lie on the graph of a linear function.
Step-by-step explanation:
A table of values can represent any relation, not necessarily a linear function. Statement D is not always true.
Statement D, 'A table of values represents points that lie on the graph of a linear function,' is not always true. A table of values could represent various types of functions or data sets. All other statements are correct for a linear function.
Let's analyze each of the given statements to identify which one is not always true:
The points that lie on the graph of a linear function lie along a straight line. This is always true by definition of a linear function.The coordinates of points that lie on the graph of a linear equation satisfy the equation. This is also always true, as the coordinates must satisfy the equation to be on the graph.The slope of the line between any two points on a linear function is constant. This is a defining property of lines, so it is always true.A table of values represents points that lie on the graph of a linear function. This statement is not always true. A table of values could represent points from any type of function or even unrelated data, and not just a linear function.Therefore, the correct answer is D. A table of values represents points that lie on the graph of a linear function.
The point A(-7,5) is reflected over the line x=-5 and then is reflected over the line x=2 what are the coordinates of A’
Answer:
A''(7, 5)
Step-by-step explanation:
Reflection over the line x=L is the transformation ...
(x, y) ⇒ (2L-x, y)
For L=-5, this is ...
(x, y) ⇒ (-10 -x, y)
Then, translation over the line x=2 gives ...
(x, y) ⇒ (2·2 -(-10 -x), y) = (14+x, y)
So, the point (-7, 5) is translated to (14-7, 5) = (7, 5).
Sec^6x(secxtanx)-sec^4(secxtanx)=sec^5xtan^3x
Verify the trigonometric identity
I guess you mean
[tex]\sec^6x(\sec x\tan x)-\sec^4x(\sec x\tan x)=\sec^5x\tan^3x[/tex]
On the left side, we have a common factor of [tex]\sec^4x(\sec x\tan x)=\sec^5x\tan x[/tex], so that
[tex]\sec^6x(\sec x\tan x)-\sec^4x(\sec x\tan x)=\sec^5x\tan x(\sec^2x-1)[/tex]
Recall that
[tex]\sec^2x=1+\tan^2x[/tex]
from which it follows that
[tex]\sec^5x\tan x(\sec^2x-1)=\sec^5x\tan x\tan^2x=\sec^5x\tan^3x[/tex]