Answer:
You need 8 picnic tables.
Step-by-step explanation:
You need 8 picnic tables because there are 30 friends and 4 sits at each table, and 4 x 8 is 32. There is 2 more extra seats. But it does fit all 30 friends.
What is the range of this relation?
Answer:
Range is basically the Y-Values,
so in this case: {-3, -1, 1, 3}
happy learning
Write the rule for the transformation.
The rule for the transformation of ΔDEF to ΔD'E'F' is reflection about the line x = y
In this question, we can observe that
D(-3, 5) -> D(5, -3)
E(-3, 3) -> E'(3, -3)
F(1, 2) -> F'(2, 1)
This means, the coordinate (x, y) of preimage is transformed to (y, x)
This is nothing but reflection of triangle DEF about the line x = y
Therefore, the rule for the transformation of ΔDEF to ΔD'E'F' is reflection about the line x = y
Learn more about the reflection here:
https://brainly.com/question/10196840
#SPJ9
Write 12 1/3 as an improper fraction.
Answer:37/3
Step-by-step explanation:
the trick I always use is multiply your denominator by your whole number and add your numerator
A
E
A
B
E D
В'
C
D'
C
B
D E
m
A™
Which rule describes the composition of transformations
that maps figure ABCDE to figure A"B"C"D"E"?
O Rc².500 orm
OrRc.900
O R.1800 or
OrRc¹.180°
Option-4 is correct, r m 0 Rc180° because the figure A'B'C'D'E' is obtained by rotating it by 180 degrees.
Given that,
We have to find which rule best explains the arrangement of transformations that converts figure ABCDE into figure A"B"C"D"E.
The diagram is given in the image.
Figure ABCDE is changed to Figure A"B"C"D"E in the provided figure.
The reflected image of a figure travelling along a line is situated at the same angle from the line as the original figure.
To create the figure A'B'C'D'E', the figure ABCDE must first be mirrored through the line m. The x and y coordinates of a figure change position and the y sign is inverted when it is rotated by 180 degrees.
The figure A'B'C'D'E' is obtained by rotating it by 180 degrees.
The final option, r m 0 Rc180°, is the correct one among all the others.
Therefore, Option-4 is correct, r m 0 Rc180° because the figure A'B'C'D'E' is obtained by rotating it by 180 degrees.
To learn more about degree visit: https://brainly.com/question/364572
#SPJ1
Write the following expanded form in
exponent form.
9.6.6.9.6.6
The expanded form of 966966 is 9x(100,000) + 6x(10,000) + 6x(1,000) + 9x(100) + 6x(10) + 6x(1) which comprises operations on face values and place values.
What do we mean by expanded form?
The expanded form of a number is the representation of the number as summation of its digit multiplied by their respective place values.
For example, 783 in expanded form can be written as -
7x(100) + 8x(10) + 3x(1)
100, 10 and 1 are place values
7,8 and 3 are place values
According to the given data:
To write 966966 in expanded form
1. Write the number in standard form: 966,966
2. Multiply each digit with its place value.
9x(100,000)
6x(10,000)
6x(1,000)
9x(100)
6x(10)
6x(1)
3. Write the values in summation form to get the expanded form.
966,966 = 9x(100,000) +6x(10,000) + 6x(1,000) + 9x(100) + 6x(10) + 6x(1).
To know more about Expanded form visit
https://brainly.com/question/17837892
#SPJ13
Two people have the same amount of money to spend. If person A buys 7 spaghetti meals, he has $2 left. If person B buys 5 spaghetti meals, she has $20 left. What is the cost of 1 spaghetti meal? HELP ME PLS
After simplification, the cost of 1 spaghetti meal is 9.
In the given question,
Two people have the same amount of money to spend.
If person A buys 7 spaghetti meals, he has $2 left.
If person B buys 5 spaghetti meals, she has $20 left.
We have to find the cost of 1 spaghetti meal.
The both person have same amount of money to spend. So let both have $x to spend.
Let y be the cost of one spaghetti meals.
A buys 7 spaghetti meals and he has $2 left.
So the cost of 7 spaghetti meals is 7y.
Now he has $2 left so the total cost is equal to the sum of the cost of 7 spaghetti meals and $2.
The equation should be
7y+2=x......................(1)
B buys 5 spaghetti meals, she has $20 left.
So the cost of 5 spaghetti meals is 5y.
Now he has $20 left so the total cost is equal to the sum of the cost of 5 spaghetti meals and $20.
The equation should be
5y+20=x......................(2)
Now put the value of x from the equation 2 in equation 1.
So 7y+2=5y+20
Simplifying the equation.
Subtract 2 on both side
7y+2−2=5y+20−2
7y=5y+18
Subtract 5y on both side
7y−5y=5y+18−5y
2y=18
Divide by 2 on both side
2/2 y=18/2
y=9
Hence, the cost of 1 spaghetti meal is 9.
To learn more about simplification link is here
brainly.com/question/22157922
#SPJ1
Alex is covering a bulletin board with blue contact paper. How much blue paper will she need to cover all AREA of of
the bulletin board that has Length 2.6 meters and width 1.2 meters.
Write numerical answer only (no units) Hint: A=LW
Pls show step by step on how to do it pls.
Hence, the blue paper will she need to cover all area of the bulletin board is 3.12.
The rectangle's characteristics are listed below:
There are four vertices and four sides.Every vertex has an angle of 90 degrees.Equal and parallel sides are on the opposing sides.Intersect each other diagonallyThe perimeter is equal to double the length plus width of the object.the product of its length and breadth determines its area.It has four right angles and is a parallelogram.All interior angles added together equal 360 degrees.Here, the length and width are different. So the bulletin board will be rectangle.
Given :
Length = 2.6 ; Width = 1.2
Area of rectangular bulletin board = Length * Width
= 2.6 * 1.2
= 3.12
Hence, the blue paper will she need to cover all area of the bulletin board is 3.12.
To know more about rectangle check the below link:
https://brainly.com/question/25292087
#SPJ1
Find the value(s) of the unknown(s) in each of the following figures.
The value of c = 4.28 cm and the value of d = 30.3 cm
Consider the big triangle
The hypotenuse of the triangle = 39 cm
The base of the triangle = 25 cm
The vertical side = 7c
According to Pythagorean theorem
The square of the hypotenuse is equal to the sum of the square of the base and the square of the vertical side
[tex]39^2=25^2+(7c)^2[/tex]
1521 = 625 + [tex]49c^2[/tex]
[tex]49c^2[/tex] = 1521 - 625
[tex]49c^2[/tex] = 896
[tex]c^2[/tex] = 896 / 49
[tex]c^2[/tex] = 128/7
c = 4.28 cm
Consider the small triangle
The vertical side = 4c
= 4 × 4.28
= 17.12 cm
[tex]d^2=25^2+17.12^2[/tex]
[tex]d^2[/tex] = 625 + 293.09
[tex]d^2[/tex] = 918.09
d = 30.3 cm
Hence, the value of c = 4.28 cm and the value of d = 30.3 cm
Learn more about Pythagorean theorem here
brainly.com/question/14930619
#SPJ1
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
An amount of $ 23,479.45 after a period of 5 years.
How to determine the final amount of the money deposited in an account
In this problem we find the case of an amount that increases itself by the effect of compound interest, that is, that the money deposited is increased accumulatively. The compound interest model is described below:
C' = C · (1 + r / 100)ⁿ
Where:
C - Initial amount, in monetary units. r - Interest rate, in percentage.C' - Final amount, in monetary units. n - Number of periods, in quarters.Please notice that four quarters equals a year.
If we know that C = 13,000, r = 3 and n = 20, then the final amount of the money deposited in the account after a period of 5 years is:
C' = 13,000 · (1 + 3 / 100)²⁰
C' = 23,479.45
The final amount of the money deposited is $ 23,479.45.
To learn more on compound interest: https://brainly.com/question/29335425
#SPJ1
Please I need explanation and and and answer for just h and c don't just give me the answer I need the explanation please.
From the given figure, measure of the required angle are as follow :
m∠h = 19° and Angle m∠c = 132°.
As given in the question,
From the given figure relation between the angles are as follow:
Angle a and 48° are linear pairs.
m ∠a + 48° = 180°
⇒ m ∠a = 132°
Two parallel lines and transversal is formed for the angle formed between them.
∠a and ∠c are pair alternate angles.
Measure of ∠c = 132°
Measure of ∠d and 151° are linear pair .
m ∠d + 151° = 180°
⇒ m ∠d = 29°
m ∠h + m ∠c + m ∠d = 180°
⇒ m ∠h + 132° + 29° =180°
⇒ m ∠h = 19°
Therefore, from the given figure, measure of the required angle are as follow : m∠h = 19° and Angle m∠c = 132°.
Learn more about measure here
brainly.com/question/4725561
#SPJ1
Unit 4, Lesson 8: Tax and Tip newste
8.1: Notice and Wonder: The Price of Sunglasses
You are on vacation and want to buy a pair of sunglasses for $10 or less. You
find a pair with a price tag of $10. The cashier says the total cost will be
$10.45.
1. The tax is what percent of the original price?
2. An item that costs $20 would have a tax of how much?
3. Ray Bans cost $852.00, how much would the total be after tax?
1. The tax percentage will be 4.5%.
2. An item that cost $20 would have a tax of $9.
3. Ray Bans cost $852.00, the total cost after tax would be $1,223.
Define percentage.
A value or ratio stated as a fraction of 100 is known as a percentage in mathematics. Percent is derived from the Latin word per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percentage sign, "%," is frequently used to denote it. An amount that is a percentage is dimensionless and has no assigned measurement.
Solution Explained:
Given here,
The original cost of the Sunglasses = $10
Total cost = $10.45
Tax amount = 10.45 - 10 = $0.45
1. Tax % = [tex]\frac{0.45}{10} X 100[/tex] = 4.5%
2. Using the tax percentage from (1),
Tax for an item that costs $20 is
= [tex]\frac{45}{100} X 20[/tex] = $9
3. Ray Bans cost = $852
Tax = [tex]\frac{45}{100} X 852[/tex] = $371.25
Total after-tax = 852 + 371.25 = $1,223
To learn more about percentage, use the link given
https://brainly.com/question/19247356
#SPJ9
in words, define the random variable x. the adult's opinion regarding the super bowl the number of adults surveyed until one who watches the super bowl is found the number of adults who watch the super bowl the favorite team of the adult
The number of adults surveyed until one who watches the Super Bowl is found.
Given information,
Let's say that 42% of adults in America are likely to watch the Super Bowl. Everybody is seen as independent. We are curious about how many adults in America we will have to poll before we discover one who will watch the Super Bowl.
Given that we are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.
Hence Random variable x is:
The number of adults surveyed until one who watches the Super Bowl is found.
To learn more about Random variable click here:
brainly.com/question/17238189
#SPJ4
A university class has had 18 adult education students enroll so far, as well as 18 other students. Considering this data, how many of the next 14 students to enroll should you expect to be adult education students?.
The required probability that the next 14 students to enroll should be an adult is 0.388.
Given that,
A university class has had 18 adult education students enroll so far, as well as 18 other students. Considering this data, how many of the next 14 students to enroll should you expect to be adult education students is to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total students enroll = 18 adult + 18 other student
Total student enroll = 36 students,
Next studentes = 14 adult
Probability of next students to be adult = 14 / 36 = 0.388
Thus, the required probability that the next 14 students to enroll should be an adult is 0.388.
Learn more about probability here:
brainly.com/question/14290572
#SPJ1
Can someone pls help me and answer my questionnnn????
Megha wanted to find 3 consecutive odd numbers that add up to 75. She wrote down the equation (x - 2) + x + (x + 2) = 75 and solved it to find the three numbers. Has she framed the equation correctly and why ?
Answer:
First, you want to solve the equation with her formula. We know the three consecutive odd numbers that add up to 75 are 23, 25, and 27. Megha seems to use 25 as x, so the first one is x-2. 25-2 = 23. The last one is 27-2=25. She has framed the equation correctly because when it comes to odd and even numbers, we skip the even numbers by 1 to get the odd number. Odd : 1, 3, 5. We skip the even numbers and add 2 everytime, so Megha used this to find the correct answer.
What is the absolute deviation at 2?.
It has a median value of 2. The absolute deviations about 2 are 1, 1, 0, 0, 2, 4, 7 which in turn have a median value of 1.
What is median?The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It might be referred to as "the middle" value for a data collection. The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.
To know more about median,
https://brainly.com/question/28060453
#SPJ4
Find two consecutive integers such that three more than twice the greater integer is the
same as three times the smaller integer.
Divide 4 5/6 and -2 1/7
The answer would be -49/18 after dividing 4 5/6 and -2 1/7, or in mixed fraction -2 13/18.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Divide 4 5/6 and -2 1/7
4 5/6 = 35/6
-2 1/7 = -15/7
= (35/6)/(-15/7)
= (35/6)(-7/15)
= -245/90
= -49/18
= -2 13/18
Thus, the answer would be -49/18 after dividing 4 5/6 and -2 1/7, or in mixed fraction -2 13/18.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ1
write the equation of the parabola that has its x-intercepts at (-2 - 2,0) and (-2 2, 0) and passes through the point (-1, 1).
The equation of the parabola is y = -1/3 ([tex]x^2[/tex]+4x).
What is parabola ?
A bowl-shaped object forms a curve when the surface of the cone intersects a plane perpendicular to a straight line. Another curve is created when the moving point is moved such that the distance from the fixed point is equal to the distance from the fixed line. A parabola is a U-shaped curve representing the graph of a quadratic function. Graph of the equation y=x2,
Here the equation of the parabola is
=> y= a[tex]x^2[/tex]+bx+c.
Now pt given points to find value of a, b, c .
=> y = a(x-p)(x-q)
=> y = a(x+2-2)(x+2+2)
=> y = a(x)(x+4)
Here the line passes through the point ,
(x,y) = (-1,1)
=> 1 = a(-1)(-1+4)
=> 1 = a (-3)
=> a = -1/3.
Now the equation is ,
y = a (x)(x+4)
=> y = -1/3 ([tex]x^2[/tex]+4x)
Therefore the equation of the parabola is y = -1/3 ([tex]x^2[/tex]+4x).
To learn more about parabola refer the below link
https://brainly.com/question/4061870
#SPJ4
what is the degree of the polynomial 3x4y3-3x2y-5x-7
Answer: it is B
Step-by-step explanation:
hope this helps!!
In DEF, C is the centroid.
If DM=57, find DC and CM
DC=units
Answer:
DC = 38 ; CM = 19
Step-by-step explanation:
DC = 2/3 DM
DC = 2/3 * 57
DC = 2 * 19
DC = 38
CM = 57 - 38 = 19
Jack's family spends $250 per month on rent. How much will they pay for the whole year?
Answer:
3000 dollars per year
Step-by-step explanation:
hope this helped :)
PLEASE HELP ME!!! it's due today! it's the last question i need but i don't get itttttttttt
Answer:
[tex]3x + 7y \geq 42[/tex]
Step-by-step explanation:
x = amount of naxvips sold
y = amount of corazs sold
We know that she will be charging 3 dollars per naxvips so we write 3x and we know that she will charging 7 dollars per corazs. Thus we add these 2 terms. She expects to make at least 42 dollars, this means will we use a greater or equal to inequality. We do this because she will make AT LEAST 42 dollars which means its possible for her to make GREATER than 42 dollars.
In exercie 13, uppoe grape cot $2. 35 per pound, orange cot $0. 99 per pound, and apple cot 1. 65 per pound. Rounding to the nearet whole number, about how much did Adrian pay for all the fruit?
Adrian pay $5.0 for all the fruits.
Given that grapes cost $2. 35 per pound, orange cost $0. 99 per pound, and apple cost 1. 65 per pound.
We want to find the total amount Adrian should pay for the fruits.
The given grapes cost is $2.35 per pound.
The given orange cost is $ 0.99 per pound.
The given apple cost is $1.65 per pound.
We will find the total cost of the fruits by adding all the amounts of the fruits.
So,
Total cost=Cost of grapes+ Cost of orange+ Cost of apple
Total cost=2.35+0.99+1.65
Total cost=4.99 or 5.0(approx)
Hence, the Adrian will pay $5.0 when the grapes cost $2. 35 per pound, orange cost $0. 99 per pound, and apple cost 1. 65 per pound.
Learn more about the total cost from here brainly.com/question/25109150
#SPJ4
m^2− 5m − 14 = 0 wht is it
Answer:
Uhmmm You Didn't Say The Formula...
Tammy purchased 20.5 centimeters of wire for $16.40.
Find the unit price in dollars per centimeter.
If necessary, round your answer to the nearest cent.
Answer:
$0.80
Step-by-step explanation:
Given:
20.5 cm wire costs $16.40.To find the unit price in dollars per centimeter, divide the total amount by the number of centimeters:
[tex]\implies \dfrac{16.40}{20.5}=\dfrac{164}{205}=\dfrac{41 \times 4}{41 \times 5}=\dfrac{4}{5}=0.8[/tex]
Therefore, the unit price in dollars per centimeter is $0.80.
BY SELLING AN ARTICLE FOR $10.80, A SHOPKEEPER MAKES A PROFIT OF 8%. WHAT SHOULD BE THE SELLING PRICE FOR A PROFIT OF 20%?
To make a profit of 20% the article should be sold for $12.1
How to calculate the new selling priceThe new selling price will be solved by comparing the percentage increment with the old selling price
The selling price is $10.8 and the profit is 8%
The cost of the item is gotten from the profit percent as below
10.8 * 0.08 = 0.864 (profit)
cost price + profit = selling price
cost price = selling price - profit
cost price = 10.8 - 0.864
cost price = 9.936
comparing the percentages
8% profit is 0.864, 20% profit will be
8 = 0.864
20 = ?
cross multiplying
8 * ? = 20 * 0.864
? = 2.16
The new selling price
= cost price + profit
= 9.936 + 2.16
= 12.096 approximately $12.1
Learn more about profit percent here:
https://brainly.com/question/26536051
#SPJ1
In 2011, the national percent of low-income working families had an approximately normal distribution with a mean of 31.3% (The Working Poor Families Project, 2011). Although it has remained slow, some politicians now claim that the recovery from the Great Recession has been steady and noticeable. As a result, it is believed that the national percent of low-income working families was significantly lower in 2014 than it was in 2011. To support this belief, a spring 2014 sample of n=16 jurisdictions produced a sample mean of 29.8% for the percent of low income working families, with a sample standard deviation of 4.1%. Using a 0.05 significance level, test the claim that the national average percent of low-income working families has improved since 2011.
There is not enough evidence to conclude that the national average percent of low-income working families has improved since 2011.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean remains at 31.3, that is:
[tex]H_0: \mu = 31.3[/tex]
At the alternative hypothesis, it is tested if the mean has decreased, hence:
[tex]H_1: \mu < 31.3[/tex]
What is the critical value?We have a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.05 and 16 - 1 = 15 df.
The t-distribution is used, as we have the standard deviation only for the sample, hence, using a calculator, the critical value is of:
t = -1.75.
What is the test statistic?The test statistic is given by the equation presented as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters of the equation are listed as follows:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In the context of this problem, the values of those parameters are:
[tex]\overline{x} = 29.8, \mu = 31.3, s = 4.1, n = 16[/tex]
Hence the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{29.8 - 31.3}{\frac{4.1}{\sqrt{16}}}[/tex]
t = -1.46.
The test statistic is greater than the critical value for the left tailed test, hence the null hypothesis is not rejected, meaning that there is not enough evidence to conclude that the national average percent of low-income working families has improved since 2011.
More can be learned about the test of an hypothesis at https://brainly.com/question/13873630
#SPJ1
a linear function f models a relationship in which the dependant variable decreases 6 units for every 3 units the independant variable decreases. the value of the function at 0 is 4.graph the function.identify the slope, y intercept, and x intercept of the graph
The slope, y-intercept, and x-intercept of the graph of the linear function are 2, 4 and -2 respectively
How to graph the function and identify the slope, y-intercept, and x-intercept?The general equation of a straight line is:
y = mx + c,
where m is the slope of the line and c is the y-intercept
Given that: the linear function f models a relationship in which the dependent variable decreases 6 units for every 3 units the independent variable decreases. This implies:
slope (m) = (-6)/(-3) = 2
And that the value of the function at 0 is 4. This implies:
y-intercept (c) = 4
Substitute m = 2 and c = 4 into the general equation:
y = mx + c
y = 2x + 4 (This is the linear function)
To plot the graph:
Using y = 2x + 4
find y when x = 0:
y = 2(0) + 4
y = 4
=> x = 0, y = 4
Also, find x when y = 0:
0 = 2x + 4
2x = -4
x = -4/2 = -2
=> x = -2, y = 0
Thus, graph x = 0, y = 4 and x = -2, y = 0 as shown in the image attached
Therefore, the slope, y-intercept, and x-intercept of the graph are 2, 4 and -2 respectively
Learn more about linaer function on:
https://brainly.com/question/15602982
#SPJ1
Inverse Variation
f(x) varies inversely with x , and f(x) equals −8 f(x)=−8 when x equals 5 x=5 .
What is x when f(x) equals −20? f(x)=−20?
For given function when f(x) = -20 then x = 2
In this question, f(x) varies inversely with x
We have been given f(x) = -8 when x = 5
We need to find x when f(x) = -20
So, we get an equation,
-20/5 = -8/x
-4 = -8/x
x = (-8)/(-4)
x = 2
Therefore, for given function when f(x) = -20 then x = 2
Learn more about Inverse Variation here:
https://brainly.com/question/1399950
#SPJ1
