Answer:
180/7
Step-by-step explanation:
Direct variation:
y varies directly as k
y = kx
y varies directly as √x
y = k√x
We need to find k. We use the given data to find k.
y = 12 when x = 49
12 = k√49
12 = 7k
k = 12/7
The equation of direct variation is
y = (12/7)√x
x = 225
y = (12/7)√225
y = (12/7)(15)
y = 180/7
1. Find the area of the triangle below.
5.6 m
9.9 m
4.4 m
7.8 m
A. 17.16 m²
B.
19.42 m²
C.
21.78 m²
D.
24.52 m²
Answer:
21.78 m^2
Step-by-step explanation:
9.9 x 4.4 / 2 = 21.78 m^2
Q.2 - What is the value of y in the equation 3(4y - 12) = 0 ? Show your work.
Hey there!
3(4y - 12) = 0
3(4y) + 3(-12) = 0
12y - 36 = 0
Add 36 to both sides
12y - 36 + 36 = 0 + 36
Cancel out: -36 + 36 because it give you 0
Keep: 0 + 36 because it help solve for the equation
New equation: 12y = 0 + 36
Simplify it
12y = 36
DIVIDE 12 to both sides
12y/12 = 36/12
Cancel out: 12/12 because that give you 1
Keep: 36/12 because it give you the y-value (also known as your overall result)
New equation: y = 36/12
Simplify it
y = 3
Therefore, your answer should be:
y = 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Two families visited an amusement park. The first family bought 2 hot dogs and 3 bottles of waters, which totaled $18. The second family bought 4 hot dogs and 2 bottles of waters, which totaled $28. How much did one hot dog cost?
$2
$4
$5
$6
The answer is 6.
6x4=24
and that leaves the water to =2 per bottle.
so, 24+4=28
Answer:
$6.00
Step-by-step explanation:
To solve this problem, we have to construct two separate equations for each family, and then use any of the methods for solving simultaneous equations.
Let's consider h to represent the cost of 1 hot dog, and w to mean the cost of 1 water bottle.
• For the first family:
[tex]2h + 3w = 18[/tex]
We can rearrange the equation to make w the subject:
⇒ [tex]3w = 18 - 2h[/tex]
⇒ [tex]w = \frac{18 - 2h}{3}[/tex]
• For the second family:
[tex]4h + 2w = 28[/tex]
Since we have previously obtained an expression for w in terms of h, we can substitute that expression for w in the above equation, and then solve for h:
⇒ [tex]4h + 2(\frac{18 - 2h}{3}) = 28[/tex]
⇒ [tex]4h + \frac{36 - 4h}{3} = 28[/tex]
⇒ [tex]12h + 36 - 4h = 84[/tex] [Multiplying both sides of the equation by 3]
⇒ [tex]8h + 36 = 84[/tex]
⇒ [tex]8h = 48[/tex]
⇒ [tex]h = \bf 6[/tex]
∴ The price of one hot dog is $6.00.
The cost of one hot dog at an amusement park is $6.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x - 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Let, the cost of hot dogs is 'x' and the cost of bottles of water be 'y'.
From the given information the two linear equations can be formed as,
2x + 3y = 18...(i) and 4x + 2y = 28...(ii)
Multiplying equation (i) by 2 and subtracting form (ii) we have,
4x + 2y = 28.
(-) 4x + 6y = 36
_____________
- 4y = - 8.
y = 2.
And hence x is equal to, 4x + 4 = 28 ⇒ 4x = 24 ⇒ x = 6.
So, The cost of one hog dog is $6.
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Please help me find the range because I am confused.
Answer: 33.81<=w<=33.91
Step-by-step explanation:
w=weight in ounces
33.86-0.05<=w<=33.86+0.05 ==> 0.05 weight difference form 33.86, the ideal weight.
33.81<=w<=33.91
Write 26/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
The decimal is 2.8 The 8 is the repeating decimal I just couldn't add the line to the top. So it would be 2.88888...
Step-by-step explanation:
Find the equation of this line.
y = [? ]x + [ ]
Simplify your answer and enter as an integer.
Answer:
y =x + 3
Step-by-step explanation:
i gotchu
A random sample of 95 seniors are asked whether they plan to attend Homecoming. Of these, 88 seniors said they will attend. What is the margin of error at 90% confidence and it’s interpretation?
A. 0.053; 90% of the time we will capture the true proportion of seniors who will attend homecoming within 0.053 of the population proportion.
B. 0.044; 90% of the time we will capture the true proportion of seniors who will attend homecoming within 0.044 of the population proportion.
C. 0.044; we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion
D. 0.053; we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.053 of the sample proportion
Option C: At margin of error of 0.44, we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion.
What is the confidence Interval?
The formula for confidence interval of proportions is;
CI = p^ ± z√((p^(1 - p^)/n)
where;
CI is confidence interval
p^ is sample proportion
z is test statistic at confidence level
n is sample size
We are given;
n = 95
x = 88
Thus;
p^ = 88/95 = 0.9263
z at CL of 90% = 1.645
Now, margin of error is;
E = z√((p^(1 - p^)/n)
Thus;
E = 1.645√((0.9263(1 - 0.9263)/95)
E ≈ 0.044
Thus, at margin of error of 0.44, we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion.
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TOWERS A lookout tower sits on a network of struts and posts. Leslie measured two angles on the tower. If m∠1=7x-7°, m∠2=4x+2°, and m∠3=2x+6°, what is m∠1?
please explain the answer i want to understand how this works.
Answer:The angles in a triangle add up to 180 degrees
what are the next three terms of the sequence 1,11,22,34
Answer:
47, 61, 76
Step-by-step explanation:
1 to 11 is 10, 11 to 22 is 11, 22 to 34 is 12. So you are increasing what you are adding by 1. So next you'd add, 13, 14, and 15 respectively. 34+13 is 47, 47+14 is 61, and 61+15 is 76.
Find two consecutive whole numbers that √130 lies between.
Answer and how to solve this
Translate the phrase into an algebraic equation:
m+6
Solve:
39
Step-By-Step:
If m = 33, then the equation would just be 33 + 6, which equals 39
Please help me I will give 30 points and brainiest
What is the absolute value of 30?
How do you make the number 38 with 3,4,2,7
Answer:
2*7*3-4
Step-by-step explanation:
It think it works? 14*3 is 42-4 is 38
A continuous variable _____ (does/does not) allow fractional amounts. a discrete variable _____ (does/does not) allow fractional amounts.
A continuous variable does allow fractional amounts. a discrete variable does not allow fractional amounts.
Which variables require boundaries, also known as real limits, in their measurement scales?
A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.
What distinguishes a ratio scale from an ordinal scale?
Ordinal: The information is classifiable and rankable. The data can be equally spaced, categorized, and rated. Ratio: The data is evenly spaced, categorizable, rankable, and has a natural zero.For continuous data, what kind of data would you use?
Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.
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14. Determine whether the relation shown in the
table is a function. Explain. (Lesson 2-1)
Domain
Range
-4
8
2
11
-4
13
5
13
Now, it is not a function, same domain has different ranges
The cost of onedozen of egg is 93.6 find out the cost of each egg
Answer:
7.8 rupees
Step-by-step explanation:
4 .3
is V = πr³, wh
3
what is the formula in terms of r? please help
The rearranged formula for volume in terms of radius,r is [tex]\sqrt[3]{\frac{V}{\pi } }[/tex].
What is volume?
Volume is a measure of enthralled three-dimensional space.It's frequently quantified numerically using SI-deduced units or by colorful Homeric units( similar to the gallon, quart, boxy inch). The description of length( cubed) is interrelated with volume. The volume of a vessel is generally understood to be the capacity of the vessel; i.e., the quantum of fluid( gas or liquid) that the vessel could hold, rather than the quantum of space the vessel itself displaces.In ancient times, volume is measured using analogous-structured natural holders and latterly on, standardized holders. Some simple three-dimensional shapes can have their volume fluently calculated using computation formulas. Volumes of more complicated shapes can be calculated with integral math if a formula exists for the shape's boundary.Volume, V = [tex]\pi r^3[/tex]
Rearranging,
r =[tex]\sqrt[3]{\frac{V}{\pi } }[/tex]
The rearranged formula for volume in terms of radius,r is [tex]\sqrt[3]{\frac{V}{\pi } }[/tex].
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FH bisects ZEFG. Find the indicated angle measures.
m/GFH=71 °. Find m/EFH and m/EFG.
m/EFH=
m/EFG=
O
O
From the information provided the measure of the angles are given as, m∠EFH = 71; and m∠EFG = 142°. See the explanation below.
What is the justification for the above results?It is to be noted that
m∠GFH = m∠EFH
m∠EFH = 71°
m∠EFG = m∠GFH + mEFH
Hence,
m∠EFG = 71 + 71
= 142°
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Find the distance between X ( − 3 , 5 ) and Y ( 4 , 2 ) . Round to the nearest tenth, if necessary.
Answer:
7.6
Step-by-step explanation:
[tex]\sqrt{(-3-4)^2 + (5-2)^2} \approx 7.6[/tex]
write an equation for the line in slope-intercept form
Answer:
y = 2x + 3
Step-by-step explanation:
i gotchu
HELPP PLEASE. THANK YOU!!
Graph the following system of equations.
2x + 6y = 12
6x + 18y = 18
What is the solution to the system?
Answer:
A. No solution
Step-by-step explanation:
Please see attachment for the graph.
Hope this helps!
Please mark as brainliest if correct!
The equation has No Solution.
What is solution of equation?The points at which the lines representing the intersection of two linear equations are defined as the solution to a linear equation. In other words, the set of all possible values for the variables that satisfy the given linear equation is the solution set for the system of linear equations.
The set of linear equations can be solved in one of three ways
Unique Solution, No Solution and Infinitely Many Solutions.
Given equations
2x + 6y = 12
x 0 6
y 2 0
6x + 18y = 18
x 0 3
y 1 0
The graph of equations is attached,
for solution of equation,
we can find it by graph, the graph shows the parallel line for both equation since equations have No Solution.
The system of linear equations does not have a solution if the graphs of the linear equations are parallel. In this instance, there is no point at which lines do not cross.
Hence there is no solution for equations.
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An angle that has a measure of 75 is congruent to an angle that has a measure of (6x + 69.06) deg What is the value of x?
Answer:
5.94
Step-by-step explanation:
75 - 69.06 = x
x = 5.94
4. The temperature in California was 80 degrees on Thursday. The temperature in the North Pole was -100. What is the
difference between the two temperatures?
Answer:
180 degrees
Step-by-step explanation:
-100 + 180 = 80
I need help asap!! 20 points!!
a book weighs 4 3/8 pounds. a store needs to mail 5 copies of the book.
create an equation to find how many pounds the books weigh in all.
Equation of the book on how many pound the books weigh is T = w*n and the weight of the books is 175/3 pounds.
It is given in the question that the book weighs 4 and 3/8 pounds and the number of copies that are needed to mail are 5.
We have to find the equation to find the weight of 5 copies of the book.
The equation will be:-
Total weight of books = Weight of 1 book * Number of copies of book
Let total weight be T
Let weight of 1 book = w
Let number of copies of a book = n
Hence, equation becomes:-
T = w*n
We can find the total weight of the books.
T = (4 and 3/8 )*5
T = (35/3)*5
T = 175/3 pounds
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Calculate the density of a solid substance if a cube measuring 2.57 cm on one side has a mass of 120. g
The required density of the given solid substance is 7.07 g/cm³.
What is the density of a substance?
The density of a substance is the property which is obtained by dividing the mass of the given substance by its volume. Its SI unit is kg/m³.
Calculation for the density of a solid substance
Mass of the given substance = 120 g
Side of cube, a = 2.57 cm
The volume of the given substance = a³
= 2.57³
= 16.97 cm³
The density of the given substance is given by the mass of the substance/volume of the substance
= 120 / 16.97
= 7.07 g/cm³
Hence, the density of the given solid substance is 7.07 g/cm³.
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If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?
The sample standard deviation is (B) $3.16.
What is the sample standard deviation?The sample standard deviation is defined as the root-mean-square of the differences between observations and the sample mean: A significant deviation is defined as two or more standard deviations from the mean. The lowercase Greek letter (sigma) for the population standard deviation or the Latin letter s for the sample standard deviation is most commonly used in mathematical texts and equations to represent standard deviation. For example, if the sample variance for a frequency distribution of hourly wages is 10 and the sample standard deviation is $3.16.Therefore, the sample standard deviation is (B) $3.16.
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The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?
A. $4.67
B. $3.16
C. $1.96
D. $10.00
In anova, by dividing the mean square between groups by the mean square within groups, a(n) _____ statistic is computed.group of answer choices
In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance statistic is computed.
What is Analysis of variance ?
With the help of the statistical analysis approach known as ANOVA, apparent aggregate variability within a data set is explained by separating systematic components from random factors. Systematic influences, but not random ones, statistically affect the data set that is being presented.What are some instances where ANOVA has been applied?
An ANOVA demonstrates the link between the dependent variable and the level of the independent variable. For illustration: In order to determine whether there is a difference in the number of hours of sleep each night as your independent variable, you divide the groups into low, medium, and high social media use categories.Learn more about Analysis of variance
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what is difference between fraction and rationals
Answer:
fraction is any number of the form a/b where both a,b are whole numbers
rational number is which is in the form of p/q where people q are integers.mark me brainlist thank you!
Robert wants to throw a party for his friends. he has booked a banquet hall where he plans to serve dinner. the hall costs $200, and dinner costs $30 per person. if the final bill is p, which function gives the number of friends at the party.
Ryan works for a delivery service. The function f(n) is used to calculate his daily pay, in dollars, on a day when he makes n deliveries.
