Answer:
3/4 of a foot.
Step-by-step explanation:
In order to find how many feet are in 9 inches, we simply divide 9 by 12. We use the number 12, because that is how many inches are in a foot. 9 divided by 12 = 0.75 or 3/4 of a foot.
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HELP PLEASE!!
Which one is correct? =/ or = ?
Answer: Not equal to.
Step-by-step explanation: you don't get the same answer to the problem for both.
Share 24 cards between Lacey and Martha in the ratio of 2:6
In the ratio of 2:6 , Lacey will get 6 cards and Martha will get 18 cards
Total number of cards = 24
Let Lacey gets "x" numbers of cards and Martha gets "y" numbers of cards
Ratio of cards given to Lacey to Martha = 2:6
x:y = 2:6
and we also know that total cards are 24
x + y = 24
x = 24 - y
putting value of x in the ratio,
[tex]\frac{24 - y}{y} = \frac{2}{6}\\[/tex]
cross multiplication,
6(24 - y) = 2y
144 - 6y = 2y
8y = 144
y = 18
Substituting value of y ,
x = 24 - 18
x = 6
Hence , Lacey will get 6 cards and Martha will get 18 cards.
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 2.5, 5.3
Step-by-step explanation:
[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3[/tex]
Mia had a board that was 15 1/2 feet long. He cut three pieces off the board that are each 3 7/8 feet long. How much of the board is left?
Answer
The remaining board piece will be 3 (7/8) feet long
Explanation
Mia's board is 15 (1/2) feet long.
He cut three pieces off the board with each board measuring 3 (7/8) feet long.
The key to this is to first convert the values given in mixed fractions as improper fractions.
3 (7/8) = (31/8)
15 (1/2) = (31/2)
Then, the three pieces each had a length of 3 (7/8)
1 piece = 3 (7/8) feet = (31/8) feet
3 pieces = 3 × (31/8) = (93/8) feet
So, taking this out of 15 (1/2) long board will leave
[15 (1/2)] - (93/8)
= (31/2) - (93/8)
To do that, we need to take the LCM of these two denominators
[tex]\begin{gathered} \frac{31}{2}-\frac{93}{8} \\ =\frac{124-93}{8} \\ =\frac{31}{8} \end{gathered}[/tex]The remaining board piece will be
(31/8) = 3 (7/8) feet long
Hope this Helps!!!
The slope of a soil line is quarter inch per foot if this drainage line is 50 feet long the difference in elevation from one end to the other is most nearly?
Since the slope of the soil line is a quarter of an inch per foot and the drainage line is 50 feet long, then the difference in elevation is:
[tex]50\text{feet}\times\frac{1}{4}\frac{in}{feet}.[/tex]Simplifying the above expression we get:
[tex]\frac{50}{4}in=12.5in\text{.}[/tex]Recall that:
[tex]1\text{ in=}\frac{1}{12}feet.[/tex]Therefore:
[tex]12.5in\approx1.04\text{feet.}[/tex]Answer: 12.5 inches= 1.04 feet.
what is .2323... as a fraction
According to a survey, 62% of Americans go on vacation each year. Two Americans are chosen from a group of 100 Americans what is the probability that one or both of the people chosen does not go on vacation each year?
Answer:
61.56%
Explanation:
Let the first American = A
• P(A goes) = 0.62
,• P(A does not) = 0.38
Let the second American = B
• P(B goes) = 0.62
,• P(B does not) = 0.38
The probability that one or both of the people chosen does not go on vacation each year
=P(A goes and B does not) or P(A does not and B does) or P(both do not)
[tex]\begin{gathered} =P(AB^{\prime})+P(A^{\prime}B)+P(A^{\prime}B^{\prime}) \\ =(0.62\times0.38)+(0.38\times0.62)+(0.38\times0.38) \\ =0.2356+0.2356+0.1444 \\ =0.6156 \end{gathered}[/tex]Therefore, the probability that one or both of the people chosen does not go on vacation each year is 61.56%.
if a person walks 2/5 a mile in each 1/10 hour, how far does he walk in 1 hour
The distance covered by him in one hour is 4 miles.
What is distance and time?
Distance of a point from a line is the length of the shortest line segment from the point to the line. This will also be perpendicular to the line.
Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.
Given
a person walked 2/5 miles in each 1/10 hour
that is miles = 2/5 = 0.4 miles.
Now time is given as 1/10 hours,
one hour contains 60 minutes.
0.4 = 1/10(60)
0.4 miles = 6 minutes.
1 hour = 0.4 (60)/6
1 hour = 4 miles.
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-2x-10y=20 D:-10,-5,0,5x=-10x=-5x=0x=5
Given the function
[tex]-2x-10y=20[/tex]First I'll rewrite it in terms of y
[tex]\begin{gathered} -2x-10y=20 \\ -10y=20+2x \\ y=\frac{20}{-10}+\frac{2x}{-10} \\ y=-2-\frac{1}{5}x \end{gathered}[/tex]Next is to determine the values of y (range) for the given values of x
Now you can graph it:
calculate the cost of manufacturing a standard cereal box if cardboard costs 0.05 per square inch312 volume286 surface area
Given:
The cardboard costs 0.05 per square inch
And the surface area = 286
So, the total cost is the product of the surface area and the cost per square in.
Total cost =
[tex]286*0.05=14.3[/tex]So, the answer will be Total cost = $14.30
A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the ground. A side-view of this scenario is shown.One of the guy-wires forms an angle of α=0.33 radians with the antenna and the opposing guy-wire forms an angle of β=0.43 radians with the antenna.What is the horizontal distance between anchor 1 and the base of the antenna? ____feet What is the horizontal distance between anchor 2 and the base of the antenna?_____ feet What is the distance between anchor 1 and anchor 2? ____feet
Let's label the diagram with the information provided. The diagram would look like:
What is the horizontal distance between anchor 1 and the base of the antenna?This is labeled as x.
With respect to angle alpha, the side x is opposite and the antenna is the side adjacent.
Thus, we need the trig ratio tan to solve for "x". Shown below:
[tex]\begin{gathered} \tan \alpha=\frac{x}{170} \\ \tan (0.33)=\frac{x}{170} \\ x=170\times\tan (0.33) \\ x=58.23 \end{gathered}[/tex]Answer: 58.23 feet
What is the horizontal distance between anchor 2 and the base of the antenna?
This is labeled as y.
With respect to angle beta, the side y is opposite and the antenna is the side adjacent.
Thus, we need the trig ratio tan to solve for "y". Shown below:
[tex]\begin{gathered} \tan \beta=\frac{y}{170} \\ \tan (0.43)=\frac{y}{170} \\ y=170\times\tan (0.43) \\ y=77.97 \end{gathered}[/tex]Answer: 77.97 feet
What is the distance between anchor 1 and anchor 2?
The distance between Anchor 1 and Anchor 2 is "x + y". We already found x and y. Let's do the sum:
[tex]\begin{gathered} x+y \\ =58.23+77.97 \\ =136.2 \end{gathered}[/tex]Answer: 136.2 feet
The following box plot represents the average heights of the students in Mr. Taylor's fourth grade math class.
1) In this question, we need to remember that in any boxplot the line in the middle of the box indicates the median.
Based on that, we can tell the Median is 140
2) In the Interquartile Range, we need to find the range between the lower quartile and the upper one, based on that boxplot. We can tell the IQR is:
[tex]IQR=Q_3-Q_1\Rightarrow141-138=3[/tex]Note that the boundaries of the box show us the lower and the upper quartile:
Function 1 has a greater rate of change. true or false
Function 1: y = -x + 6
Function 2: The line passing through the points (2,0) and (8,6)
Function 1 has a greater rate of change: false.
What is the rate of change?Mathematically, the rate of change is also referred to as slope or gradient and it can be calculated by using this formula;
Rate of change, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Rate of change, m = (y₂ - y₁)/(x₂ - x₁)
Next, we would determine the rate of change of the value of y with respect to the value of x in function 2, which represents a line that is passing through the points (2, 0) and (8, 6):
Rate of change, m = (6 - 0)/(8 - 2)
Rate of change, m = 6/4
Rate of change, m = 1.5 or 3/2.
From function 1 (y = -x + 6), we can logically deduce that the rate of change is equal to -1.
In conclusion, the rate of change of function 2 (m = 1.5) is greater than the rate of change of function 1 (m = -1).
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Find the least values of a and b such that 41_a=14_b
(_ means subscript)
The smallest a and b values such that 41a = 14b. The smallest value is a = 0.34.
What part has the lowest value?Keep in mind that the fraction's value increases as the denominator decreases. The fraction's value decreases as the denominator grows larger. Because all three numerators are the same, the fraction with the largest denominator is the smallest. The characteristics of a function are described by the least and greatest function values. They allow us to determine the range of a continuous function in particular. However, determining these values is difficult because the domain of the function may contain a large number of minimum and maximum values.Given,
41a = 14b
a = 14b/41
Simplifying,
41a = 14b divide both side by 41
41a/41 = 14b/41b
= 41a/14
b is = 2.92
and the a is,
a = 14b/41 = 0.34
Hence the lowest value is a = 0.34
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solve -5(3n+4)=40 I need help
Simplify the expression to obtain the value of n.
[tex]\begin{gathered} -5(3n+4)=40 \\ 3n+4=\frac{40}{-5} \\ 3n+4=-8 \\ 3n=-8-4 \\ n=-\frac{12}{3} \\ =-4 \end{gathered}[/tex]Thus value of n is -4.
What is the image point of (-8,-5) after a translation right 1 unit and down 5 units?
Answer:
(- 7, - 10 )
Step-by-step explanation:
a translation of 1 unit right means add 1 to the x- coordinate
a translation of 5 units down means subtract 5 from the y- coordinate.
(- 8, - 5 ) → (- 8 + 1, - 5 - 5 ) → (- 7, - 10 )
Write a rule to describe a transformation when a triangle hasbeen reflected over the x-axis.(x,y) →Using (-x,-y)
For a transformation that involves a reflection over the x-axis, it means the pre-image is reflected across the horizontal line.
For a reflection over the x-axis, the x coordinate remains the same while the y coordinate changes.
The rule that describes a transformation when an image has been reflected over the x-axis is:
(x, y) ==> (x, -y)
Using the pre-image (-x, -y), we have:
(-x, -y) ==> (-x, y)
For a triangle, we have:
A(-x, -y) ==> A'(-x, y)
B(-x, -y) ==> B'(-x, y)
C(-x, -y) ==> C'(-x, y)
choose all that correctly estimate where the function is increasing or decreasing.
Notice that the all estimations for each graph are correct.
Multiplying Decimals, help please.
1.The multiplied answer for the given numbers 2.5 and 3.15 is 7.875. Option 4 is correct.
2. Her investment is 578.85, Option-C is correct.
Given that,
There is a question in the picture that is
The numbers 2.5×3.15
We have to find the multiplied answer.
What is the multiplication?Mathematicians use multiplication to calculate the product of two or more numbers. It is a basic mathematical procedure that is widely used in daily life. When we need to combine groups of similar sizes, we utilize multiplication.
The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Multiplying the numbers makes it simpler to add the same number repeatedly.
=2.5×3.15
=7.875
Therefore, the multiplied answer for the given numbers 2.5 and 3.15 is 7.875. Option 4 is correct.
2. We have she has invest $500 at 5% annual compound interest. After 3 years, what is her investment.
500×5%
25
Next 525×5%
551.50
Next
578.85
Therefore, her investment is 578.85, Option-C is correct.
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Here is an equation that is true for all values of x: 6(x + 3) = 6x + 18. Londyn saw this equation and says she can tell 18( x + 3) + 32 = 3(6x + 18) + 32 is also true for any value of x. How can she tell? Explain your reasoning.
We need to decide whether the given equations are always or never true for values of x .The given equations are ,
[tex]x - 12 = x + 1[/tex]solve out for x,
[tex]\longrightarrow x -x =12+1\\ [/tex]
[tex]\longrightarrow 0 =13\\ [/tex]
This can never be true. Hence the equation is never true for any values of x.
[tex]x + \frac{3}{4} = x - \frac{3}{4} [/tex]solve out for x,
[tex]\longrightarrow x -x =\dfrac{3}{4}+\dfrac{3}{4}\\ [/tex]
[tex]\longrightarrow 0=\dfrac{3}{2}[/tex]
This can never be true. hence the equation is never true for any values of x.
[tex]4(x + 3) = 8x + 12 - 4x[/tex]solve out for x,
[tex]\longrightarrow 4x +12=8x+12-4x\\[/tex]
[tex]\longrightarrow 4x -8x +4x =12-12\\[/tex]
[tex]\longrightarrow 0=0[/tex]
hence this equation is true for all values of x.
[tex]2x - 8 - x = x - 8[/tex]solve out for x,
[tex]\longrightarrow 2x -x -x =8+8\\ [/tex]
[tex]\longrightarrow 0=0 [/tex]
hence the equation is true for all values of x.
[tex]2(x + 5) + 3x = 5(x - 5)[/tex]solve out for x,
[tex]\longrightarrow 2x +10+3x =5x-25\\ [/tex]
[tex]\longrightarrow 5x -5x =-25-10\\[/tex]
[tex]\longrightarrow 0 =-35[/tex]
This can never be true. hence the equation is never true for any values of x.
and we are done!
2. Evaluate:
Suppose you want to buy something for $60, and you have $15 saved up so far. Then your grandmother calls and says she will chip in for your purchase. She doesn’t tell you the amount of money she will give you yet, so you just consider it x dollars.
and need the answer to this
Answer:
price - savings
= $60 - $15
= $45
grandma's bonus =
hence, $45 + x = $60
Collect like terms
60 - 45 =
X = $15
Help me pleaseee i need help fasttt
Answer:
5(−2)−3 y = 5 (- 2) - 3
Step-by-step explanation:
y = 5x − 3 y = 5 x - 3 Substitute −2 - 2 for x x and find the result for y y. y = 5(−2)−3 y = 5 (- 2) - 3
What is the equation of the horizontal asymptote for the following exponential graph? Please help I need it
Answer:
y=5
Step-by-step explanation:
The curve stops at the y value of 6. And we need a horizontal line for the asymptote, so we don't need an x value only a y-value. So the y-value is 5 on the y-axis, which means your equation will be y=5.
-Hope this helped
Find the perimeter
(7x-13)
(x + 29)
(3x + 5)
The required perimeter is 11x +11
What is meant by perimeter?In relation to mathematics, the concepts "area" and "perimeter" are crucial. Any field shape, whether asymmetrical or symmetrical, applies to this. It is measured from the object's edge to its perimeter. Like the yard that is fenced in at your home. The distance around anything is called its perimeter. The fence is 200 feet long for a yard that is 50 feet by 50 feet.
A measurement of an object's interior space is its area. An area is the size you must be in order to begin a lawn in the same yard. Units of squared distance are used in the area. There must be 2500 square feet of grass for a 50 ft by 50 ft.
The perimeter can be calculated by simply adding all the given expression;
= 7x - 13 + x + 29 + 3x + 5
bringing the like terms together
= 7x + x + 3x + 16 + 11
= 11x + 11
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Jason bought two identical boxes of nails. One box weighs 168 ounces. What is the total weight in ounces of the nails that Jason bought?
The total weight in ounces of the two identical nail boxes is 336 ounces.
How to find the total weight of the nails?Jason bought two identical boxes of nails. One box weighs 168 ounces.
The total weight in ounces of the nails that Jason bought can be calculated as follows:
The boxes of nails are identical. Therefore, they have the same weight. The weight of the two boxes is the sum of the weight of the boxes.
Hence,
total weight of the boxes = 168 + 168
total weight of the boxes = 336 ounces
Therefore, the total weight is 336 ounces.
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3 (3+4k)=45 can you help me with this one
Given 3 ( 3 + 4k ) = 45
So, divide both sides by 3
3 + 4k = 45/3
3 + 4k = 15
subtract 3 from both sides
3 + 4k - 3 = 15 - 3
4k = 12
divide both sides by 4
k = 12/4 = 3
So, the value of k = 3
Brandon bought snacks for his team's practice. He bought a bag of popcornfor $2.11 and a 6-pack of juice bottles. The total cost before tax was $11.41.Write and solve an equation which can be used to determine x, how mucheach bottle of juice costs?
x represents the cost of each bottle of juice. Given that he bought a pack containing 6 bottles of juice, the cost of the 6 pack juice bottles would be $6x
Given that the total cost of a bag of popcorn which costs $2.11 and a 6-pack of juice bottles is $11.41, it means that
2.11 + 6x = 11.41
6x = 11.41 - 2.11
6x = 9.3
x = 9.3/6
x = 1.55
The cost of each bottle of juice is $1.55
Sandra and Peter share a packet of 30 marshmallow eggs in the ratio of 2:3
Using the given ratio, we will see that we can define the proportions to find that:
Sandra gets 12 marshmallows.
Peter gets 18 marshmallows.
How many marshmallow eggs will get each one?We know that Sandra and Peter share a packet of 30 marshmallow eggs in the ratio of 2:3.
We can find the fractions for each person by doing the following steps:
So if we add the two values in the ratio we get 2 + 3 = 5
The ratio is:
Sandra:Peter = 2:3
Then we can write the fractions as:
The fraction of the total number of eggs that Sandra gets is 2/5
The fraction of the total number of eggs that Peter gets is 3/5
Now remember that the total number of marshmallow eggs is 30, then the number that Sandra gets is:
S = (2/5)*30 = 12
And the number that Peter gets is:
S = (3/5)*30 = 18
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help with this one please
The graph of g(X) = -(x+3)⁴ compares to the parent function of f(x) = x⁴ got shifted 3 units to left and reflected over x-axis.
Translation means shifting , rescaling and reflecting parents function.
Shifting the graph means to move the graph to new location
Scaling means changing it shape
and Reflecting means a mirror image of parent function across either x-axis or y-axis.
here, If we draw graph of both the function you'll see
The parent function f(x) = x⁴ have center as (0,0)
where as Center of function g(x) = -(x+3)⁴ is (-3,0)
means g(x) = -(x+3)⁴ is moves towards the left by 3 units
and also the graph is in downwards which means it has also reflected across x-axis
Hence , the g(x) = -(x+3)⁴ is shifted 3 units to the left and reflected over the x-axis compare to parent function.
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An iq test is designed so that the mean is 100 and the standard deviation is for the population of normal adults. Find the sample size necessary to estimate the mean iq score of statistics students such that it can be said with % confidence that the sample mean is within iq points of the true mean. Assume that and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
The Required Sample size is 138 . Yes, this number of IQ test Score is a fairly large number.
In the given statements we have , An IQ test is designed such that
the mean of adults ( X bar ) = 100
standard deviations (σ ) = 18
Estimate the mean iq score of statistics students such that the confidence level is 95%
We know the value of Z score for given confidence level 95% is 1.96 .
Margin of error in IQ test = 3
we shall calculate the sample size here.
Using the Margin of error formula,
M.E = Z( √σ ²/n )
where, Z--> z score value
σ --> standard deviations
n ---> sample size
putting all the values in this formula we get ,
3 = 1.96 (√(18)²/n )
=> 3/1.96 = √324/n => (1.5306)² = 324/n
=> n = 324/ 2.342 = 138.29
Hence, the required Sample size is 138 .
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Complete question:
An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 3 IQ points of the true mean. Assume that σ =18 and determine the required sample size using technology.
Then determine if this is a reasonable sample size for a real world calculation.