Answer 34
...................................................................................
Need help asap
A party rental company has chairs and tables for rent. The total cost to rent 8 chairs and 4 tables is $37. The total cost to rent 3 chairs and 2 tables is $17.
What is the cost to rent each chair and each table?
Cost to rent each chair: SI
Cost to rent each table:
Solving a system of equations we can see that the costs are:
For a chair, 3/2 dollars.
For a table, 25/4 dollars.
What is the cost to rent each chair and each table?Here we can define the variables:
x = cost of rending a chair.
y = cost of renting a table.
Here we can write a system of equations:
8x + 4y = 37
3x + 2y = 17
We can subtract two times the second equation from the first one:
8x + 4y - 2*(3x + 2y) = 37 - 2*17
2x = 3
x = 3/2
And the value of y is:
3*(3/2) + 2*y = 17
2y = 17 - 9/2 = 25/2
y = 25/2/2
y = 25/4
These are the costs in dolllars.
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Imagine math Item 994395
Start with the equation 0.2=0 to explain why -4-2 must equal -8.
Drag descriptions and equations to the table to complete the explanation.
In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.
1. Begin with the equation 0.2 = 0.
2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.
This simplifies to 0 = -0.2.
3. Observe that the right side of the equation, -0.2, is a negative number.
4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.
5. Rewrite the equation as 0 = +0.2.
6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.
7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.
8. Simplify the equation to 0 = +0.2.
9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.
10. As a result, the original equation 0.2 = 0 is invalid.
11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.
12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.
To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.
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The image of B translated using (x + 2, y + 3) would have what coordinates?
Answer:
(5, 4)
Step-by-step explanation:
(x + 2, y + 3)
Substitute x and y for that of B's position.(3 + 2, 1 + 3)
(5, 4)
Answer:
B' (5, 4 )
Step-by-step explanation:
the translation rule (x, y ) → (x + 2, y + 3 )
means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then
B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )
What is the midpoint of the segment?
Answer:
In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment. hope that helps love!
Which products result in a difference of squares? Select three options. a (x minus y)(y minus x) b (6 minus y)(6 minus y) c (3 + x z)(negative 3 + x z) d (y squared minus x y)(y squared + x y) e (64 y squared + x squared)(negative x squared + 64 y squared)
Answer:
By comparing all the expressions with the formula (a - b)(a + b) = (a² - b²), we find that c, d and e options are correct.
Step-by-step explanation:
Concept: The condition is that, the product should result in a difference of squares. In mathematics, we have such a formula which is (a - b)(a + b) = (a² - b²). So, we need to compare all the options with this relation.
(x - y)(y - x) = -(x² - 2xy + y²)
(6 - y)(6 - y) = 36 - 12y + y²
(3 + xz)(-3 + xz) = (xz + 3)(xz - 3) = x²z² - 9 . This expression is correct
(y² - xy)(y² + xy) = \(y^{4} - x^{2} y^{2}\). This expression is correct
(64y² + x²)(-x² + 64y²) = (64y² + x²)(64y² - x²) = \(4096y^{4} -x^{4}\). This expression is correct.
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A line has a slope of 1 and passes through the point (
–
2,5). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = x + 7
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. We are given that the slope of the line is 1, so we can substitute m = 1 into the equation:
y = 1x + bWe also know that the line passes through the point (-2, 5), so we can substitute x = -2 and y = 5 into the equation and solve for b:
5 = 1(-2) + b5 = -2 + bb = 7Therefore, the equation of the line in slope-intercept form is:
y = x + 7
This is the final answer, written in slope-intercept form using integers.Answer:
The Equation of the Line is : y = x + 7
Step-by-step explanation:
Equation of the Line in Slope-Intercept Form is y = mx + b
where m is the Slope and b is the y-intercept
since the slope (m) = 1 , Substitute by m = 1 in the above equation
Then the Equation will be y = x + b
Since the line passes through point ( -2 , 5 ) , Then y = 5 when x = - 2
Substitute , Then 5 = -2 + b
Then b = 5 + 2 =7
So the Equation will be y = x + 7
Hope this is Helpful
i am having alot of trouble with my math class and i would like some help.
Answer:
\(-3\)Explanation:
Here, we want to get the value of x
We simply square both sides
Thus, we have it that:
\(\begin{gathered} x^2+7\text{ = 4}^2 \\ x^2+7\text{ = 16} \\ x^2=\text{ 16-7} \\ x^2=\text{ 9} \\ x\text{ = }\sqrt{9} \\ x\text{ = }\pm3 \end{gathered}\)We select -3 as the answer here (although +3 is an option too, it is not a part of the provided options)
The somatic cells, or non-reproductive cells, in the human body contain 46 chromosomes that occur as 23 pairs of chromosomes.
Which answer below best explains where these chromosomes come from?
Step-by-step explanation:
23 of the chromosomes come from one parent , 23 from other parent.
What is the correct factorization of 3x2 + 14x + 8?
a. (3x + 4) (x + 2)
b. (3x + 2)(x + 4)
c. (3x + 8) (x + 1)
d. (3x + 1)(X + 8)
Answer: hope it is helpful to you
Answer:
b.(3x+2)(x+4)
Step-by-step explanation:
3x²+14x+83x²+12x+2x+83x(x+4)+2(x+4)(3x+2)(x+4)hope it helps.
We saw that about 34% of
all students received at least one referral. Suppose we have concerns about the number of
disciplines in one particular school - it seems very high, and we've had concerns from parents at the school. In one particular year, 162 out of the 340 students at that school had a referral.
a. If we selected a random sample of 340 students, would the sample proportion that are
disciplined be approximately normally distributed? Why or why not?
b.
Use the normal distribution to find the probability of randomly selecting a sample of 340
students and finding that 162 of them or more have received a referral during that
particular year.
C. Would we think that is unusual? Explain your reasoning.
The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.
what is probability ?It is a scale among 0 and 1 that represents the probability or likelihood of an event happening. In many disciplines, including statistics, physics, economics, law, and computer science, probability theory is extensively used. Many situations, such as games of chance, weather predictions, medical diagnoses, and more, can be explained using the concept of probability. The mathematical computation of probabilities, the analysis for random variables, and the conclusion-making process are all included in the study of probability.
given
The likelihood that 162 or more kids in a randomly chosen sample of 340 pupils will have received a referral in that particular year can be calculated using the normal distribution.
Calculating the sample proportion is necessary:
The predicted value of p is equal to the 0.34 underlying proportion of referred pupils. It is possible to compute the sample proportion's standard deviation as follows:
P equals sqrt[p(1-p)/n] = sqrt[0.34(1-0.34)/340] = 0.031
Calculate the z-score to determine the likelihood of locating 162 or more kids with referrals:
\(z = (0.476 - 0.34) / 0.031 = 4.39\)
The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.
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If P(x) is a polynomial with lead term -x7, then
a) P(x) goes to negative infinity as x goes to negative infinity, and P(x) goes to infinity as x goes to infinity
b) P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity
c) P(x) goes to negative infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity
d) P(x) goes to infinity as x goes to negative infinity, and P(x) goes to infinity as x goes to infinity
P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity , Option B is the correct answer.
What is a Polynomial ?A polynomial is an expression which consists of variables , Coefficient , indeterminate and mathematical operations.
The polynomial given has lead term -x⁷
So when x --> ∞ , -x⁷---> - ∞
and when x ---> - ∞ , -x⁷ ----> ∞
Similarly for the function P(x)
So when x --> ∞ , P(x)---> - ∞
and when x ---> - ∞ , P(x) ----> ∞
P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity
Therefore Option B is the correct answer.
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How many ways are there to choose six tiles that spell the word WATERS?
Answer:
0
Step-by-step explanation:
I need help i dont understand this
Answer:
oh god what da heck is this math :')
Step-by-step explanation:
Question 5 of 10
A sample of 50 11th graders were asked to select a favorite pattern out of 6
choices. The following display shows what their favorite color patterns were.
The counts have been recorded in the accompanying table according to
pattern and the number of students who selected that pattern.
35
23
B.
205
B
A. Graph A
B. Graph B
OC. Graph C
OD. Graph D
E. Graph E
PERSE
Color Pattern
Blue on gray
Green
D.
Pink polka dots
Purple
Red and orange
stripes
Yellow
These data can be graphically displayed as a bar graph. Which graph below
correctly displays the data from the list and the table?
Frequency
4
E
9
14
11
3
The bar graph that correctly displays the data from the list and the table is Graph D.
What is a bar graph?A bar chart, often known as a bar graph, is a diagram that displays categorical data as rectangular bars with heights or lengths proportional to the values they stand for.
You can plot the bars either vertically or horizontally.
Considering the data given:
Blue on gray - 3Green - 6Pink polka dots - 9Purple - 6Red and orange stripes - 4Yellow - 2The correct bar graph is D.
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Order the side lengths EF, FG, and GE from least to greatest.
(Note that the figure is not drawn to scale.)
G
72°
F
66°
0 < 0 < 0
E
Order of the side lengths EF, FG, and GE from least to greatest is EF < FG < GE.
Give a brief account on Law of Coslnes?When the lengths of two sides and the size of the included angle are known (SAS) or when the lengths of all three sides are known (SSS), the Law of Cosines can be used to determine the remaining components of an oblique (non-right) triangle. We are unable to establish a solvable percentage in either of these scenarios, making it impossible to apply the Law of Sines.
According to the Law of Cosines:
c² = a² + b² - 2ab * cos(C)
With the exception of the third component, which equals zero if C is a straight angle and the Pythagorean Theorem results, this is similar to the Pythagorean Theorem. As a result, the Law of Cosines is a specific case of the Pythagorean Theorem.
Using the Law of Cosines
In the given triangle, we are given the measure of angle G and the length of side FG, so we can use the Law of Cosines to find the lengths of the other sides. The Law of Cosines states that for a triangle with sides a, b, and c and angle C opposite side c, the relationship between the sides and the angle is:
c² = a² + b² - 2ab * cos(C)
Given: angle G = 72°, FG = 6
We can use the Law of Cosines to find the lengths of the other sides:
EF² = FG² + GE² - 2FG * GE * cos(G)
EF = √(6² + GE² - 2 * 6 * GE * cos(72))
FG² = EF² + GE² - 2EF * GE * cos(F)
FG = √(EF² + GE² - 2 * EF * GE * cos(66))
As we don't have any value for GE, we can't calculate the exact values, but as we know that the side opposite to the largest angle is the longest side of a triangle, so we can order the sides as follows:
EF < FG < GE
It means that side GE is the longest side of the triangle, followed by side FG, and side EF is the shortest side of the triangle.
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Hey who can solve this
Melanie’s grandfather gave her$5 on her first birthday,$10 on her second birthday $15 on her third birthday, and so on.If this pattern continue, how much will Melanie's grandfather give her on her 12th birthday?
Answer:
$60
Step-by-step explanation:
since every year, she receives $5 more than the last, then on her twelfth birthday, you'll have to multiply 5 by 12 to get 60.
Express 83 kilometers per hour in miles per hour.
...
mi/hr
(Round to the nearest hundredth as needed.)
Answer:
83 kilometres per hour =
51.574 miles per hour
Suppose you are flying a kite at the park on a windy day. You notice that the height of the kite, h, is
affected by the speed of the wind, w. You decide to measure the height of the kite at different wind
speeds to determine the relationship between the two variables. After some experimentation, you
measure the height of the kite at three different wind speeds: 10 mph, 15 mph, and 20 mph. You
measure the height of the kite to be 50 feet at 10 mph, 75 feet at 15 mph, and 100 feet at 20 mph.
Determine the equations that relate the height of the kite to the speed of the wind.
The equation that relates the height of the kite to the speed of the wind is: h = 5w.
What is slope?
In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.
To determine the relationship between the height of the kite and the speed of the wind, we can use linear regression to fit a line to the data points we have measured. The line will take the form y = mx + b, where y is the height of the kite, x is the speed of the wind, m is the slope of the line, and b is the y-intercept.
Using the three data points we have, we can calculate the slope of the line as follows:
m = (y2 - y1) / (x2 - x1)
= (75 - 50) / (15 - 10)
= 25/5
= 5
Therefore, the equation for the line is y = 5x + b. To find the value of b, we can use one of the data points.
For example, using the point (10, 50):
50 = 5(10) + b
b = 0
So the equation that relates the height of the kite to the speed of the wind is:
h = 5w
where h is the height of the kite in feet, and w is the speed of the wind in mph.
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What is the first step to find the interquartile range of the data set?
A. Find the mean of the data set.
B. Find the sum of the values in the data set.
C. Order the data set from least to greatest.
D. Find the maximum of the data set.
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
Enid, eve and tommy Have formed a partnership the total investment was 400,008 owns 35.4% and Eve owns 28.8% of the partnership how much did Tammy invest
The amount Tammy invested is 143,202.864.
Given,
Three investors - Enid, Eve, and Tommy.
Total investment = 400,008.
Enid share = 35.4%
Eve share = 28.8%
We need to find out how much did Tammy invest.
Find the total investment of Enid, Eve, and Tommy.
= 400,008
This is 100% of the investment.
100% = 400,008
Find each share in the investment.
Enid share = 35.4%
Eve share = 28.8%
Tammy share:
= 100% - (35.4% + 28.8%)
= 100% - 64.2%
= 35.8%
Find the Tammy amount of investment.
Tammy's share = 35.8%
Tammy's amount invested:
= 35.8% of 400,008
= 35.8/100 x 400,008
= 143,202.864
Thus the amount Tammy invested is 143,202.864.
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If f(x) = -2x + 4, what is f(-3)?
Answer:
10
Step-by-step explanation:
Hello!
To solve this, we can plug in -3 for x in the equation -2x + 4.
Evaluate:
f(x) = -2x + 4f(-3) = -2(-3) + 4f(-3) = 6 + 4f(-3) = 10The value of f(-3) is 10.
How can 12 people share a 8-segment chewy fruit worm
The ways to share 8 segment fruit worm is 495
How to determine the ways of sharing the fruit worm?From the question, we have
Total number of people, n = 12Number of fruits, r = 8The number of ways of sharing the fruit worm is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 12 and r = 8
Substitute the known values in the above equation
Total = ¹²C₈
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 12!/8!4!
Evaluate
Total = 495
Hence, the number of ways is 495
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(01.01 LC)Look at the following numbers:
− 4, −1, 0, 4
Which pair of numbers has a sum of 0?
4, −1
−4, 0
−1, 0
−4, 4
PLEASE HELP WITH THIS EASY MATH QUESTION!! it’s down below!!!!
Answer:
22
Step-by-step explanation:
=x(x+22)
Answer:
The answer is 22
If a book and a pen together cost $11 and the book is $10 more than the pen, how much does the pen cost? Show solution please
Answer:
50 cents
Step-by-step explanation:
Since 1 dollar is too much, then try 50 cents. Then it worked.
Jolene lost her wallet at the mall. It had $10 in it. When she got home, her brother gave her $5.75.
Answer:
15.75
Step-by-step explanation:
Answer:
well that her fault for not putting it in a purse
According to Beautiful Bride magazine, the average age of a groom is now 26.2 years. A sample of 16 prospective grooms in Chicago revealed that their average age was 26.6 years with a standard deviation of 5.3 years. At a=0.05, what is the test value?
Answer:
0.3019
Step-by-step explanation:
Null hypothesis: the average age of a groom is now 26.2 years.
Alternative hypothesis: the average age of a groom is not 26.2 years.
We have a sample of 16 so we will use a t-test
Where t score = (x-u)/(sd/√n)
Where x = 26.6, u=26.2, sd= 5.3 and n=16
t score = (26.6-26.2) / (5.3/√16)
t = 0.4/(5.3/4)
t = 0.4/1.325
t = 0.3019
is the division of two whole numbers is always a non-integer rational number?
Answer:
Every quotient of two integers is always a rational number but not always an integer
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
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