Answer
0
Step-by-step explanation:
at the school book fair, Henry brings $10.00. He purchases a book for $8.50, plus a 6% sales tax. How much money in change will henry receive ?
Answer:
.99
Step-by-step explanation:
He paid $8.50 + 6% sales tax. So
8.50 x .06 = .51
8.50 + .51 = 9.01 total he paid
$10.00-$9.01=.99
a man is four times as old as his son in five years time he will be three times as old as his son what is the present age of the son in years
I would start by setting up a chart like I did below.
Label one column age now and the other age in 5 years.
Since we don't know the son's age we use x.
We do know that the man's age is 4 times the son's age.
So the man's age will be 4x.
In the age in 5 year column, we add 5 to their current ages.
Now set up our equation.
Since it says "in five years" we use information in second column.
In 5 years time, he, "4x + 5", will be, equals,
3 times as old as his son, "3(x + 5)".
So we have 4x + 5 = 3(x + 5).
Solving from here, we find that x = 10.
So the son is 10 and the man is 4 times his age or 40.
Help!!! I don't understand this question..
Step-by-step explanation:
I want to say Marisella. Here's my argument.
5 seats in the front row, so 5/20. Before the first person enters, 5 seats are open making it 5/20.
Once the first person sits.. now there are 4 spots in the front and only 19 total seats left, making it 4/19
Which statements are true?
Answer:
x+2y+z+80=360°
Step-by-step explanation:
the sum of the interior angles in a quadrilateral is 360°, so the answer is: x+2y+z+80=360°
Answer:
Option 4 - x+2y+z+80=360degrees is the correct answer.
Step-by-step explanation:
As given in the figure, it is a quadrilateral, and as all the angles in this quadrilateral are interior angles, the sum of the interior angles of a quadrilateral will be 360 degrees.
For further detail, refer the below link -
https://brainly.com/question/32534822
Express as a trinomial ??
(2x-5)(2x-1)
Answer:
is it like this?
Step-by-step explanation:
(2x-5)(2x-1)
2x(2x-1)-5(2x-1)
4x²-2x-10x-5
4x²-12x-5
that is the final answer
Given, expression is not trinomial.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
To express the expression (2x-5)(2x-1) as a trinomial,
we need to multiply the two binomials together using the distributive property.
We can use the FOIL method to do this:
(2x-5)(2x-1) = 2x(2x) + 2x(-1) - 5(2x) - 5(-1)
Simplifying this expression, we get:
(2x-5)(2x-1) = 4x² - 2x - 10x + 5
Combining like terms, we get:
(2x-5)(2x-1) = 4x² - 12x + 5
Since, trinomial is ax³ +bx² +cx +d in standard form where a can not be zero.
Therefore, the binomial form of (2x-5)(2x-1) is 4x^2 - 12x + 5, and given, expression is not trinomial.
Learn more about Polynomials here:
https://brainly.com/question/11536910
#SPJ2
A bakery sells 6 bagels for $2.99. What is the cost, in dollars, for 48 bagels?
A. $10.76
B. $13.16
C. $23.92
D. $37.08
Answer: $23.92
Step-by-step explanation:
First, we know that 6 bagels is $2.99.
48/6=8
This means that 6 is a multiple of 48, which makes it easier to solve.
$2.99 x 8 = 23.92
= $23.92
Use the quadratic formula to find the exact solutions of x2 − 9x + 5 = 0.
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answer:
\(\frac{9\pm\sqrt{61}}{2}\)
Step-by-step explanation:
\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-9)\pm\sqrt{(-9)^2-4(1)(5)}}{2(1)}=\frac{9\pm\sqrt{81-20}}{2}\\\\=\frac{9\pm\sqrt{61}}{2}\)
Write an expression for which subtracting 5 from an expression would isolate the variable
An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2
What are algebraic expressions?Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.
These expressions are also known to consist of arithmetic operators, which includes;
Floor divisionDivisionExponentiationAdditionMultiplicationSubtraction, etcFrom the information given, we have to subtract five from an expression to isolate the variable
Now, let's us the algebraic expression;
-9x + 5 = x + 2
Let's subtract 5 from both sides of the equation, we get;
-9x + 5 - 5 = x + 2 - 5
add and subtract the like terms
-9x + x = -3
-8x = -3
x = 3/8
Hence, the expression is -9x + 5 = x + 2
Learn about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
4.
Use Synthetic Division To Solve.
(x3-3x2-7x+6) / (x-2)
A. x2+x+9+ 12 /x-2
B. x2+5x+3+ 12 / x-2
C. x2-5x+3
D. x2-x-9-12/x-2
Answer:
D. x^2-x-9-12/x-2
Step-by-step explanation:
We can use synthetic division to divide (x^3 - 3x^2 - 7x + 6) by (x - 2). First, we set up the division as follows:
2 | 1 -3 -7 6
|______2___-2__-18
| 1 -1 -9 -12
The numbers on the bottom row of the synthetic division table represent the coefficients of the quotient polynomial. Therefore, the quotient is x^2 - x - 9, and the remainder is -12.
So, we have:
(x^3 - 3x^2 - 7x + 6) / (x - 2) = x^2 - x - 9 + (-12 / x - 2)
Therefore, the correct option is D: x^2 - x - 9 - 12/(x - 2).
Solve the equation showing all work.
X²-4x+3=0
x2−4x+3=0
For this equation: a=1, b=-4, c=3
1x2+−4x+3=0
Step 1: Use quadratic formula with a=1, b=-4, c=3.
x=
−b±√b2−4ac
2a
x=
−(−4)±√(−4)2−4(1)(3)
2(1)
x=
4±√4
2
x=3 or x=1
Answer:
x = 1, x = 3
Step-by-step explanation:
x² - 4x + 3 = 0
consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (- 4)
the factors are - 1 and - 3 , since
- 1 × - 3 = + 3 and - 1 - 3 = - 4 , then
(x - 1)(x - 3) = 0 ← in factored form
equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
Plz show steps
x^2+5=21
Answer:
8
Step-by-step explanation:
X•2+5=21
Isolate the variable by dividing each side by factors that don’t contain the variable.
Check your work:
8x2+5=21
8x2=16
16+5=21
21=21
what is the prefix associated with the multiplier 0.001?
The prefix associated with the multiplier 0.001 is "milli-."
The International System of Units (SI) uses prefixes to denote decimal multiples and submultiples of units. The prefix "milli-" corresponds to a multiplier of 0.001. Here's a stepwise explanation of how this prefix is determined:
1. Identify the multiplier: The given multiplier is 0.001.
2. Understand the prefix: The prefix "milli-" represents a factor of 1/1000 or 0.001.
3. Determine the prefix symbol: The symbol for "milli-" is "m." It is written in lowercase.
4. Attach the prefix: To express a unit with the multiplier 0.001, you attach the prefix "milli-" to the base unit. For example, if the base unit is meter (m), the millimeter (mm) represents 0.001 meters.
5. Other examples: The milligram (mg) represents 0.001 grams, the millisecond (ms) represents 0.001 seconds, and the milliliter (mL) represents 0.001 liters.
By using the "milli-" prefix, we can conveniently express values that are a thousandth of the base unit, allowing for easier comprehension and communication in various scientific and everyday contexts.
Learn more about factors : brainly.com/question/29128446
#SPJ11
The figure below is made of 2 rectangles.
What is the area of the figure?
Answer:
should be 8
Step-by-step explanation:
The HCF and LCM of two numbers x and 126 are 24 and 840 respectively. Find the value of x.
Answer:
x=160
Step-by-step explanation:
x×126=24×840
\(x=\frac{24 \times840}{126} =160\)
Can someone please help me solve this?
Answer:
sorry I need points but I'm sure somebody will help u ♡♡♡
if you draw two cards from a deck, what is the probability that you will get the ace of diamonds and a black card?
The probability that the ace of diamonds and a black card will come is 1 / 51 .
Case A :
probability of first getting an ace of diamonds = 1 / 52
probability of getting a black card given first card is ace of diamond = 26 / 51
Hence , probability that the ace of diamonds and a black card will come is ( 1 / 52 ) * ( 26 / 51 ) = ( 1 / 102 )
Case B :
probability of first getting a black card = ( 26 / 52 )
probability of getting an ace , given first card is a black card = ( 1 / 51 )
Hence , the probability that the ace of diamonds and a black card will come is ( 26 / 52 ) * ( 1 / 51 ) = ( 1 / 102 )
P ( A ∪ B ) = P ( A ) + P (B ) + P ( A ∩ B )
= ( 1 / 102 ) + ( 1 / 102 )
= 1 / 51 .
To learn more on probability go to :
https://brainly.com/question/24756209
#SPJ4
Iced out my wrist, It turned to water like its Fiji. I just traveled out of states, maybe to Tahiti. I'm in Dubai with the gang, getting with the bae, she please me. I slap 5 on top of my tints so you can't see me. I roll up my wrist OK, don't know if ima make it. But ima ball like I'm playing 2k. I know I'm on top, my mama taught me to never be less than great. I hang with animals like gorillas, no snakes, maybe some apes. I know I'm the hero of my hood, might as well hand me a cape.
You think a snake and a dog is the same thing. This a rollie up on my wrist, a bust down no plain jane. I only got three friends so you can't tell me you gang gang. I was all in the deep end so you can't tell me that you my main thing, like no. I had my hands against the wall, I told all my dogs I got they back, just gimme a call. I stand on 10 toes, I can't stand on one, I start to fall. Your love keep loving me, can't end up on my own. But you knew that It ain't no 20's in my stack because that's green, I got the blue pack. My life is hard work, I gotta make it, I can't cool back. My life is a movie, got a groupie and she so bad.
Iced out my wrist, It turned to water like its Fiji. I just traveled out of states, maybe to Tahiti. I'm in Dubai with the gang, getting with the bae, she please me. I slap 5 on top of my tints so you can't see me. I roll up my wrist OK, don't know if ima make it. But ima ball like I'm playing 2k. I know I'm on top, my mama taught me to never be less than great. I hang with animals like gorillas, no snakes, maybe some apes. I know I'm the hero of my hood, might as well hand me a cape.
Answer:
not really
Step-by-step explanation:
Answer:
Bars !!!!!!
Step-by-step explanation:
So far in your volleyball practice, you have put into play 37 of the 44 serves you have attempted. solve
90
37+ x
the equation
to find the number of consecutive serves you need to put into play in order to
100 44 + x
raise your serve percentage to 90%.
You must play 43 consecutive serves in order to equal that number.
What are equations?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
The statement is not an equation if there is no "equal to" sign in it.
According to our question-
90/100= 30+x/44+x
42
learn more about equations click here:
brainly.com/question/2972832
#SPJ4
Zoey and her children went into a grocery store where they sell apples for $2.25 each and bananas for $1.50 each. Zoey has $15 to spend and must buy a minimum of 7 apples and bananas altogether. Let x represents the number of apples purchased and y represents the number of bananas purchased so :
Zoey can buy ____ apples and _____bananas or
Answer:
Zoey could buy 2 apples and 7 bananas.
Step-by-step explanation:
Since the point (2, 7(2,7) is inside the double shaded region, one possible solution to the system of inequalities would be:
Find the equation of the line y=9/10x-?
The y-intercept is the point where the line intersects the y-axis, so the equation of the line can be written as: y = 9/10x - ?
Step by step explanationTo find the equation of the line y=9/10x-?, we need to determine the value of the y-intercept, represented by the "?" in the equation.
To do this, we can use the fact that the y-intercept occurs when x=0. Therefore, substituting x=0 into the equation of the line gives:
y = 9/10(0) - ?
y = -?
We know that the y-intercept is the point where the line intersects the y-axis, so we can write the equation of the line as:
y = 9/10x - ?
where ? is the y-coordinate of the y-intercept. Therefore, the equation of the line is y = 9/10x - ? where ? is the value we found above, which is -?.
Learn more on equations of lines here https://brainly.com/question/18831322
#SPJ1
Rewrite the expression with rational exponents as a radical expression.
7 times x to the two thirds power
please help with this.
9514 1404 393
Answer:
d. The triangles are not similar
Step-by-step explanation:
The angle between the given sides is the same, so we need to compare the side ratios. In ΔQRS, we have ...
QR/RS = 4/15
In ΔVTU, we have ...
VT/TU = 8/32 = 1/4 ≠ 4/15
The triangles are not similar because corresponding sides are not proportional.
Consider the following experiment. You are one of 100 people enlisted to take part in a study to determine the percent of nurses in America with an R.N. (registered nurse) degree. You ask nurses if they have an R.N. degree. The nurses answer "yes" or "no." You then calculate the percentage of nurses with an R.N. degree. You give that percentage to your supervisor.
a)What part of the experiment will yield discrete data?
- number of yes and no answers. -computed percentage - number of nurses at a hospital -percent of nurses in America with an R.N. degree -number of nurses in America
b)What part of the experiment will yield continuous data?
- number of yes and no answers. -computed percentage - number of nurses at a hospital -percent of nurses in America with an R.N. degree -number of nurses in America
a) The part of the experiment that will yield discrete data is the number of yes and no answers.
This is because the responses to the question "do you have an R.N. degree?" can only be either "yes" or "no," which are discrete categories. The number of yes responses and the number of no responses will be whole numbers and not continuous values.
b) The part of the experiment that will yield continuous data is the computed percentage of nurses with an R.N. degree. This is because the percentage can take on any value within the range of 0% to 100%, including decimal values. It is a continuous variable since it can have an infinite number of possible values within the given range.
The number of nurses at a hospital, percent of nurses in America with an R.N. degree, and the number of nurses in America are not directly obtained from the experiment but are instead population-level information. These quantities are not part of the data collection process in this particular experiment.
Learn more about discrete here
https://brainly.com/question/27793609
#SPJ11
Callie uses leather cord to make necklace she has a piece of leather cord that gas a lengh of 4 yards each necklace will have a lengh of 28 inches how many necklace can callie make
Since Callie cannot make a fraction of a necklace, she can make a maximum of 5 necklaces from the given length of leather cord.
To determine the number of necklaces Callie can make from the given length of leather cord, we need to convert the measurements to a consistent unit.
Given:
Length of leather cord = 4 yards
Length of each necklace = 28 inches
First, let's convert the length of the leather cord from yards to inches:
1 yard = 36 inches (since there are 3 feet in a yard and 1 foot = 12 inches)
4 yards = 4 * 36 = 144 inches
Now we can calculate the number of necklaces:
Number of necklaces = Length of leather cord / Length of each necklace
Number of necklaces = 144 inches / 28 inches ≈ 5.143
Know more about length here:
https://brainly.com/question/9842733
#SPJ11
+18 pts
An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane(P) to the tower (T) is 7,000 feet, how far is the bird (B) from the plane (P)? Round to the nearest whole number.
Help please !
Find attached to this answer, the appropriate diagram that would help us better understand the question
Answer:
10779 feet
Step-by-step explanation:
We would be using the Trigonometric function called Tangent to solve this question.
tan θ = Opposite side / Adjacent side
From the attached diagram,
θ = 33°
Opposite side = 7000 feet
Adjacent side = the distance of bird (B) from the plane (P) = unknown
tan 33° = 7000 feet / Adjacent side
Cross multiply
tan 33° × Adjacent side = 7000 feet
divide both sides by tan 33°
Adjacent side = 7000 feet / tan 33°
Adjacent side = 10779.054747 feet.
Approximately = 10779 feet.
Therefore, the distance of bird (B) from the plane (P) to the nearest whole number is 10779 feet.
fill in the blank. a regression line is also called the ______. group of answer choices line of estimate scatterplot line line of best fit line graph
The correct answer is "line of best fit." A regression line is also called the line of best fit as it represents the best approximation of the relationship between the independent and dependent variables in a scatterplot.
What is regression line?In statistics and data analysis, a regression line is a straight line that represents the best-fitting relationship between two variables. It is often referred to as the "line of best fit" because it minimizes the overall distance between the line and the actual data points.
When plotting data points on a scatterplot, the regression line is used to approximate the trend or pattern in the data. It helps in understanding the relationship between the independent variable (usually denoted as "x") and the dependent variable (usually denoted as "y"). The goal is to find a line that is as close as possible to all the data points, capturing the general trend or direction of the relationship.
The line of best fit is determined by using a statistical technique called regression analysis. This technique calculates the optimal values for the slope and intercept of the line based on the data. The most common method for fitting a regression line is known as ordinary least squares (OLS), which minimizes the sum of the squared differences between the observed data points and the predicted values on the line.
By fitting a regression line, we can make predictions or estimations about the dependent variable based on the values of the independent variable. The line of best fit provides a visual representation of the relationship between the variables and allows for easier interpretation and analysis of the data.
It's important to note that the line of best fit is an estimation based on the given data, and it may not perfectly pass through every data point. However, it provides a useful summary of the overall trend and can be used for making predictions or drawing conclusions about the relationship between the variables.
Therefore, the correct answer is "line of best fit." A regression line is also called the line of best fit as it represents the best approximation of the relationship between the independent and dependent variables in a scatterplot.
Learn more about regression line on:
https://brainly.com/question/25311696
#SPJ4
the following correlation matrix shows the pearson correlations between various baseball pitching related statistics, of which the number of wins (w) is considered to be a criterion measure of pitching performance by a team. which statistic has an inverse relationship with the number of wins?
To decide which measurement has a reverse relationship with the number of wins, we ought to seek for a relationship coefficient with negative esteem. A negative correlation coefficient shows that as one variable increments, the other variable tends to diminish.
Without seeing the real relationship framework, we cannot point out the precise statistic that has a reverse relationship with the number of wins. In any case, ready to search for the relationship coefficient that features negative esteem.
For illustration, in the event that we have a relationship network like this:
markdown
| W | Period | WHIP | SO/9 | BB/9 |
----------------------------------------------
W | 1 | -0.7 | -0.6 | 0.5 | -0.3 |
----------------------------------------------
Period | -0.7| 1 | 0.9 | -0.8 | 0.5 |
----------------------------------------------
WHIP | -0.6| 0.9 | 1 | -0.7 | 0.4 |
----------------------------------------------
SO/9 | 0.5| -0.8 | -0.7 | 1 | -0.4 |
----------------------------------------------
BB/9 | -0.3| 0.5 | 0.4 | -0.4 | 1 |
----------------------------------------------
We are able to see that the relationship coefficient between the number of wins (W) and the earned run normal (Time) is -0.7, which indicates a strong negative relationship. This implies that as the Time increments (showing poorer pitching execution), the number of wins tends to diminish. Subsequently, Time has a reverse relationship with the number of wins.
To learn about correlation coefficient visit:
https://brainly.com/question/29262313
#SPJ4
If afc is $8 at a quantity of output of 1,000 units, and atc is $12 at the same level of output, it follows that:_______.
The AFC represents the fixed portion of the total cost, while the difference between ATC and AFC represents the variable cost per unit.
To determine the relationship between average fixed cost (AFC) and average total cost (ATC) at a quantity of output of 1,000 units, we need to understand the formulas for AFC and ATC.
AFC is calculated by dividing total fixed cost (TFC) by the quantity of output (Q). ATC is calculated by dividing total cost (TC) by the quantity of output (Q). Mathematically, we have:
AFC = TFC / Q
ATC = TC / Q
Given that AFC is $8 at a quantity of output of 1,000 units, we can substitute the values into the AFC formula:
$8 = TFC / 1,000
Multiplying both sides of the equation by 1,000, we find:
TFC = $8,000
Now, we are given that ATC is $12 at the same level of output. Substituting the values into the ATC formula, we have:
$12 = TC / 1,000
Multiplying both sides of the equation by 1,000, we find:
TC = $12,000
To summarize:
Total fixed cost (TFC) = $8,000
Total cost (TC) = $12,000
Therefore, it follows that the difference between AFC and ATC lies in the variable cost component. The AFC represents the fixed portion of the total cost, while the difference between ATC and AFC represents the variable cost per unit.
Learn more about average fixed cost here:
https://brainly.com/question/13541145
#SPJ11
Write an equation of the line containing the given point and parallel to the given line.
(6,-9); 5x - 9y = 8
.....
Answer:
y = 5/9x - 37/3
Step-by-step explanation:
5x - 9y = 8
-9y = -5x + 8
y = 5/9x - 8/9
When a line is parallel, the slope remains the same.y = 5/9x + b
-9 = 5/9(6) + b
-9 = 10/3 + b
-37/3 = b
help asap if you can pls!!!!!
Answer:
SAS, because vertical angles are congruent.