Answer:
9 guests
Step-by-step explanation:
the first 3 guests are free and anyone after is 7 per guest
well if we divide 42/7 we get 6
and we add the 3 we get 9 guests.
This makes sense due to the fact that the first 3 guests are free and we are paying for everyone else after them. So it's 7 dollars a student therefore, 9 guests.
Mr. endres wants to put fencing around his rectangular shaped backyard. the width of the backyard is 42 feet and the length is two times the width. how many feet of fencing does mr. endres need?
The the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.
What is the Perimeter of a Rectangle?Perimeter = 2(length + width).
The number of feet needed for the fence around the rectangular garden = perimeter of teh rectangular garden.
Given the following:
Width = 42 ft.Length = 2(42) = 84 ft.Plug the values into Perimeter = 2(length + width):
Perimeter of the rectangular garden = 2(42 + 84)
Perimeter of the rectangular garden = 252 ft
Therefore, the the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.
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please help me with this, I will give brainliest.
find the value of x round to the nearest 10th
[tex]\tan x = \dfrac{\text{Opposite}}{\text{Adjacent}}\\\\\implies \tan x = \dfrac{12}{6}\\\\\implies \tan x = 2\\\\\implies x = \tan^{-1} (2)=63.4^\circ[/tex]
Answer:
x ≈ 63.4°
Step-by-step explanation:
using the tangent ratio in the right triangle.
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then
x = [tex]tan^{-1}[/tex] ( 2) ≈ 63.4° ( to the nearest tenth )
Find the solution of the system of equations.
-
5x – 4y = -9
10x– 7y = -22
Answer:
x = -5
y = -4
Step-by-step explanation:
5x - 4y = -9
10x - 8y = -18
10x - 7y = -22
-y = 4
y = -4
Substitue y into any equation
5x - (-16) = -9
5x = -25
x = -5
Find the MEAN of the following:
13, 19, 17, 10, 22, 14, 17
Mean: 16
To find the mean, we need to add up all the numbers in the set and then divide by the number of numbers we added.
1. 13 + 19 + 17 + 10 + 22 + 14 + 17 = 112
2. 112 / 7 = 16
3. The mean is 16.
Answer: 16.
Step-by-step explanation: To find the mean of any given data, you need to add all the data. The work is below:
13 + 19 + 17 + 10 + 22 + 14 + 17 = 112.
Now that we've added all the data, we have to divide the data by 7, because that's how many numbers that are in this data. The work is below:
112 / 7 = 16.
Therefore, the mean of this data is 16.
Hope this helps! :)
AABC ~ AQRS
Find the missing side length, n.
R
B
6
n
U
2
c
5
s
n = [?]
Enter
Answer:
n = 15
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{RS}{BC}[/tex] = [tex]\frac{QS}{AC}[/tex] ( substitute values )
[tex]\frac{n}{6}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )
2n = 30 ( divide both sides by 2 )
n = 15
Can someone help me if you can??? please and thank you! :)))))))
Answer:
Here is the answer
Step-by-step explanation:
Interest=$580 x 6.5%
=580 x 6.5/100
=$37.70
$37.70= 37dollars and 70 cents
A researcher is studying the relationship between the number of TVs owned by a family and the size of the family's electric bill. After collecting data, he finds that the relationship is best modeled by the equation B = 2.43T + 95.66, where B is one month's electric bill in dollars and T is the number of TVs owned by the family. Which of these is a good interpretation of the y-intercept of this model?
Answer:
Step-by-step explanation:
No choice is given but here is the general interpretation.
Y-intercept is where the plot crosses the y-axia at x=0. In this case, x is T which represents number of TVs owned by the family. T=0 meaning there is no TV and B = 96.66 is the one month's electric bill in dollars for all other appliances in the home.
Given function
B=2.43T+95.66Now
Compare to slope intercept form y=mx+b
Slope=m=2.43Y intercept=b=95.66Here y intercept may be the fixed charge .
13, 39, 117, ...
Find the 6th term.
The sixth term of the sequence 13, 39, 117, ... is 243
How to determine the value of tthe 6th term?The definition of the function is given as
13, 39, 117, ...
The above definitions imply that we simply multiply 3 to the previous term to get the current term
using the above as a guide,
So, we have the following representation
an = 13(3)^(n - 1)
For the 6th term, we have
a(6) = 13(3)^(6 - 1)
Evaluate
a(6) = 243
a₃ = 9 + 3
Hence, the value of the 6th term is 243
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Match the following
A)
B)
C)
(Sorry if I didn’t put a picture it won’t let me do it…)
Answer:
No picture
Step-by-step explanation:
Round 68.09 to 2 Sf please
Use your TI-83 to determine the necessary t* value for a 90% confidence interval
based on a sample size of 55 and a sample standard deviation of 7.42.
2.005
1.669
1.96
1.645
2.67
Answer:
Step-by-step explanation:
It is 1.645. My calculator is a little off though; see attached picture.
3 students are in a race. How many ways can they finish in 1st, 2nd, and 3rd place?
Help please
What is 600 square feet converted to square yards?
Answer:
66.6667
Step-by-step explanation:
100% correct mark brainliest
Kathy was building a bed for her dollhouse. She used her bed, which is 3 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5 . What are the dimensions of the model bed she built? (1 point) 0.06 ft × 0.1 ft 0.3 ft × 0.5 ft 0.03 ft × 0.05 ft 0.6 ft × 01 ft
Answer:
0.6 x 0.1
Step-by-step explanation:
Given cosθ = 3/5, find the five other trigonometric function values. 15
[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\qquad \impliedby \textit{let's now find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{5^2-3^2}=b\implies \sqrt{25-9}=b\implies \sqrt{16}=b\implies 4=b \\\\[-0.35em] ~\dotfill[/tex]
[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad tan(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\qquad \qquad cot=\cfrac{\stackrel{adjacent}{3}}{\underset{opposite}{4}} \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{adjacent}{3}}\qquad \qquad csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}[/tex]
The values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:
sin(θ) = 4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
We're given that:
cosθ = 3/5 for some angle θ
Since we've got:
[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]
Therefore, we have:
[tex]\dfrac{3}{5} = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]
Let we consider a right angled triangle in which there is hypotenuse of length 5 units and base (from the perspective of one of its non-right angle) of 3 units (as shown in the image attached below).
(we couldve taken 3x and 5x instead of 3 and 5, for any positive real number value of 'x' as when we would take their ratio, that common factor 'x' would get cancelled out. We can think of 3 and 5 as the special case of 3x and 5x when x = 1)
Then, from that perspective, let the perpendicular be of the length 'p' units, then as per the pythagoras theorem, we get:
[tex]p^2 + 3^2 = 5^2\\p = \sqrt{25 - 9} = \sqrt{16} = 4 \: \rm units[/tex]
(took only the positive root to remove the square term because the value of p denotes length, which is a non-negative quantity).
Thus, we have:
From the perspective of the angle θ:
Length of the base = 3 unitsLength of the perpendicular = 4 unitsLength of the hypotenuse = 5 units.Thus, using these values, and the definition of the trigonometric ratios, we get:
sin(θ) = 4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4Thus, the values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:
sin(θ) = 4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4Learn more about Pythagoras theorem here:
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The equivalent ratios are 6 : 3,
Answer:
2:1
Step-by-step explanation:
divide 6 by 3 to get 2 and divide 3 by 3 to get 1 making the awnser 2:1
The fifth grade classes are having a food drive. There are 84 students in the fifth grade. The goal is for each student to collect 16 cans of food. How many cans will be collected in all if each fifth-grader achieves the goal?
Hey there!
Easy word problem
Since there are 84 students total and their goal is to collect 16 cans
We multiply
=> 84 × 16 ⇒ 1,344
Therefore, 1,344 cans will be collected in all if each fifth-grader achieves the goal
How do I find the fraction that 480 is divided by to get 300
Answer: Final answer: :: written in four ways :: As an improper fraction (numerator larger than denominator): 480/300 = 8/5As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 480/300 = 1 3/5As a decimal number: 480/300 = 1.6As a percentage: 480/300 = 160%
Step-by-step explanation:
A fraction consists of two numbers and a fraction bar: 480/300The number above the bar is the numerator: 480 The number below the bar is the denominator: 300 The fraction bar means that the two numbers are dividing themselves: 480/300 = 480 ÷ 300 Divide the numerator by the denominator to get fraction's value: Value = 480 ÷ 300 'Percent (%)' means 'out of one hundred': p% = p 'out of one hundred', p% = p/100 = p ÷ 100 The fraction 100/100 = 100 ÷ 100 = 100% = 1 Multiply a number by the fraction 100/100, ... and its value doesn't change.To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF. To calculate the greatest common factor, we build the prime factorization of the two numbers. Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 480 = 25 × 3 × 5; 480 is not a prime, is a composite number; 300 = 22 × 3 × 52; 300 is not a prime, is a composite number; * Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself. * A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.A proper fraction: numerator smaller than denominator. 8 ÷ 5 = 1 and remainder = 3 => 8 = 1 × 5 + 3 => 8/5 = (1 × 5 + 3) / 5 = (1 × 5) / 5 + 3 / 5 = 1 + 3/5 = 1 3/5 As a decimal number: 1 3/5 = 1 + 3/5 = 1 + 3 ÷ 5 = 1.6As a percentage: 1.6 = 1.6 × 100/100 = 160/100 = 160%!!40 points and Brainliest if it’s correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT ANSWER IT. Make sure you explain please!
Which of the following shows the correct first step to solve x^2 - 16x = -21 by completing the square?
A)x^2 - 16x + 64 = -21
B) x^2 - 16x + 64 = -21 + 64
C) x^2 - 16x + 16 = -21 + 16
D) x^2 - 16x + 8 = -21 + 8
For using completing the square, first make sure that the coefficient of x² is 1, if it's not 1, then you need to make it 1, by dividing both sides of the equation by the coefficient whatever it is. So, jere the coefficient of x² is 1, so now we need to develop a whole square on both sides, for which,we will add the square of half of coefficient of x on both sides, so adding (-16/2)² = (-8)² = 64 on both sides, we will be having :
[tex]{:\implies \quad \sf x^{2}-16x+64=-21+64}[/tex]
Which suits the B) option
Hence, Option B) is correct
HELP PLEASE ASAP I WILL MARK BRAINLIEST
Answer:
BC = 24
Step-by-step explanation:
FD = 36, FE = 15 and CD = 18
By secant theorem.
DE • DF = CD • DB
(36 - 15) • 36 = 18 • DB
DB = 42
BC = DB - CD
BC = 42 - 18
BC = 24
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
I need help please….
Answer:
C. 7/20
Step-by-step explanation:
There are 20 arrival times on the table.
7 of those twenty are before 8:20.
p(before 8:20) = 7/20
Answer: C. 7/20
The two dot plots show the number of guests per night.
The data for each is taken from a random sample within a 10
10
-week period.
Complete the statements below.
A dot plot or for chart is a statistical plot consisting of data points that are plotted on a scale using dots.
What is a dot plot?Your information is incomplete. Therefore, an overview of a dot plot will be given. A dot plot is a data visualization where the day points are plotted as dots on the graph.
Dot plots are used for relatively small data sets. It uses the dots to show where the data values in the distribution are.
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HELPPPPPPPPP!
Wanda spun a spinner 30 times, and the results were recorded in the following tally chart
Answer:
30%
Step-by-step explanation:
So she spun the spinner 30 times so we divide the number of times she got solid by the 30 to get the answer in a percentage :)
9/30 = 0.3
Now we multiply the 0.3 by 100 to get it as a percent!
0.3 x 100 = 30%
Now you know how to find the probability of an object!
Have a great day!!
Please rate and mark brainliest!!
Explanation:
Count the tally marks for the "solid" in the middle row. The first portion is a group of 5 as shown by the slash mark. The second portion of that row is one short of five, so it's another 4 tallies. Overall, we have 5+4 = 9 tallies for the "solid".
This is out of 30 spins total. Therefore, we arrive at 9/30 = (3*3)/(3*10) = 3/10
4+8÷2-2×3 what would we do first a 4+8 b8÷2 c2-2 d2×3
Answer:
multiplication, so d, 2 x 3
Step-by-step explanation:
remember... PEMDAS!!
Help assappp
Line L is a line that passes through (-4,5)
and is parallel to the line described by
y-7=-2(x+1). Write the equation
of line l in point-slope form
Answer:
y-5=-2(x+4)
Step-by-step explanation: All you need to do is remember the point-slope form equation y-y1=m(x-x1), parallel slope (-2), then (-4,5). Plug in (-4,5) and -2 into the point slope form equation y-5=-2(x+4). That's all.
Help please thank youuu
Answer:
18 mi^2
...
...
...
...
...
Answer:
42 square miles
Step-by-step explanation:
The area of a composite shape can be found by decomposing it into shapes whose area formulas you know. Here, the shape can be decomposed into a triangle and two rectangles. The two rectangles can be formed several ways.
TriangleThe area of the triangle at the top of the figure is ...
A = 1/2bh
A = 1/2(6 mi)(3 mi) = 9 mi²
Overall rectangleThe area of the overall rectangle (including the space at lower right) is ...
A = LW
A = (9 mi)(5 mi) = 45 mi²
Deleted spaceThe area of the rectangle at lower right that is not included in the shaded area is ...
A = LW
A = (4 mi)(3 mi) = 12 mi²
Total areaThe total area of the figure is the sum of the triangle and overall rectangle, less the excluded area at lower right.
total area = 9 mi² +45 mi² -12 mi² = 42 mi²
The area of the figure is 42 square miles.
_____
Additional comment
Other ways to divide the figure into two rectangles are ...
extend the vertical line to make a 9×2 and a 3×5 rectangleextend the horizontal line to make a 4×2 and a 5×5 rectanglePLEASE HELP. I need to create a roller coaster that consists of at least 4 different degree 3 and above polynomials.the polynomials must be connected to one another without any graphs. It has to be 5-6 minutes long. the start height must be at least 200 feet but no greater than 300 feet. the maximum height of the roller coaster must not be greater than 400 feet. The track must go into an under tunnel that is 20 feet or less at least once. the maximum depth of the tunnel must not be greater that 50 feet. No drop can be too steep. I will give 100 points
Answer:
add it all up
Step-by-step explanation:
20 points
Data from a certain village hospital show that the number of frostbite cases is positively correlated with the number of sledding accidents. Which of the following factors would
best explain why this correlation does not necessarily imply that frostbite is the main cause of sledding accidents?
People with frostbite tend to have more difficulty controlling sleds.
the frostbite cases and sledding accidents were not randomly selected.
The hospital treats more sledding accidents than cases of frostbite.
It is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.
Answer: it is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.
Step-by-step explanation: I just took the test.
The correct answer is the frostbite cases and sledding accidents were not randomly selected.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
If the data for the number of frostbite cases and sledding accidents were not randomly selected, then the correlation between them might not be valid.
if the data were only collected during a specific time period when sledding was popular and the weather was cold, then the number of frostbite cases and sledding accidents might be higher than normal.
In this case, the correlation might be due to the common factor of cold weather, rather than frostbite causing sledding accidents.
Therefore, it is important to consider the methodology of the study and the factors that might influence the correlation between frostbite cases and sledding accidents before concluding that frostbite is the main cause of sledding accidents
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Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2? (1 point)
Answer:
A = 3x² - x - 10
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width , then
A = (3x + 5)(x - 2)
each term in the second factor is multiplied by each term in the first factor.
A = 3x(x - 2) + 5(x - 2) ← distribute parenthesis
= 3x² - 6x + 5x - 10 ← collect like terms
= 3x² - x - 10
Answer:
A = 3x² - x - 10
Step-by-step explanation:
A = length × width
A = (3x + 5)(x - 2)
A = 3x(x - 2) + 5(x - 2)
A = 3x² - 6x + 5x - 10
A = 3x² - x - 10
Help please!!! 100 points
Answer:
I think the file of the picture is corrupted because it is not loading
Step-by-step explanation:
Answer: A
Step-by-step explanation:
P
E
M
A
S