An equation that can be used to find the amount of time Hiroshi spends on his math homework would be 1/4(30 + 60 + x) = x
In this question, Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework.
So, his total homework time would be,
(30 + 60 + x)minutes
Also, we have been given One fourth of his total homework time is spent on math.
We need to find an equation that can be used to find the amount of time Hiroshi spends on his math homework.
So, we get an equation,
1/4(30 + 60 + x) = x
Therefore, an equation that can be used to find the amount of time Hiroshi spends on his math homework would be 1/4(30 + 60 + x) = x
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Answer:
c
Step-by-step explanation:
This is not college level I just don't know how to change it but can I get some help?
Applying angle relationships, the measures of the numbered angles are:
m∠1 = 90°
m∠2 = 68°
m∠3 = 112°
m∠4 = 112°
m∠5 = 68°
m∠6 = 56°
m∠7 = 124°
m∠8 = 124°
How to Apply Angle Relationship?To calculate angle measurements that are formed by a transversal and parallel lines, we can apply the knowledge of the angle relationships that exist between the angle pairs in concerned. Some angle relationships are:
Corresponding angles are equal.Linear pair angles are equal to 180 degrees.Alternate interior angles are equal.Base angles of isosceles are equal.m∠1 = right angle [corresponding angles is the angle relationship]
m∠1 = 90°
m∠2 = 180 - m∠1 - 22 [triangle sum theorem]
Substitute
m∠2 = 180 - 90 - 22
m∠2 = 68°
m∠3 = 180 - m∠2
Substitute
m∠3 = 180 - 68
m∠3 = 112°
m∠4 = m∠3
m∠4 = 112°
m∠5 = 180 - m∠4
m∠5 = 180 - 112
m∠5 = 68°
m∠6 = 1/2(180 - m∠5)
m∠6 = 1/2(180 - 68)
m∠6 = 56°
m∠7 = 180 - 56
m∠7 = 124°
m∠8 = m∠7 [alternate interior angles is the angle relationship]
m∠8 = 124°
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The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.
2 0, 1, 4
3 1, 2, 6
4 1, 3, 7
5 1, 1
6 5
Key: 3|2 means 3.2
What is the mean, and what does it tell you in terms of the problem?
The mean is 38.5. It tell us that the average distance a heavy ball was thrown is 38.5 feet.
What is the mean?A stem-and-leaf plot is table that displays a data set in ascending order. used to display a dataset. A stem-and-leaf plot divides a number into a stem and a leaf. In this stem-and-leaf plot, the stem is the tens digit and the leaf is the units digit. For example, in the number 32, 3 is the stem 2 is the leaf.
The mean is a measure of the center of a dataset that is used to determine the average of a set of numbers
Mean = sum of numbers / total numbers in the data set
(20 + 21 + 24 + 31 + 32 + 36 + 41 + 43 + 47 + 51 + 51 + 65) / 12
462 / 12 = 38.5
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A new student, who has had very little experience solving equations algebraically, has just joined your study group. Show and explain all of the steps necessary to solve the equation 2(x + 1) = 6(x – 1) for x. Be sure to include a step for checking the solution.
The solution of the equation 2(x + 1) = 6(x – 1), is the value of x = 2.
How to Solve an Equation?To solve an equation means to find what the value of the variable of the equation would be that would make the equation true if the value of the variable is plugged into the equation.
The necessary steps taken to find the value of x in the equation, 2(x + 1) = 6(x – 1) are explained below:
2(x + 1) = 6(x – 1) [given]
Apply the distributive property
2x + 2 = 6x - 6
Combine like terms
2x - 6x = -2 - 6
-4x = -8
Divide both sides by -4
-4x/-4 = -8/-4
x = 2
The value of x is 2. To check the solution, plug in the value of x back into the equation:
2(2 + 1) = 6(2 – 1)
2(3) = 6(1)
6 = 6 [true]
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$6000 are invested in a bank account at an interest rate of 6 percent per year.
Find the amount in the bank after 11 years if interest is compounded annually.
Find the amount in the bank after 11 years if interest is compounded quarterly.
Find the amount in the bank after 11 years if interest is compounded monthly.
Finally, find the amount in the bank after 11 years if interest is compounded continuously.
The value after 11 years with annual compounding is $11,389.79
The value after 11 years with quarterly compounding is $11,552
The value after 11 years with monthly compounding is $11,589.68
The value after 11 years with continous compounding is $70,080.78.
What is the future value?When an amount is compounded annually, it increases in value once a year. When an amount is compounded quarterly, it increases in value four times a year. When an amount is compounded monthly, it increases in value twelve times a year. When an amount is compounded continuously, it increases continuously over the investment period.
The formula for calculating future value:
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = interest rate - annual rate / number of compounding m = number of compoundingN = number of yearsValue after 11 years with annual compounding: $6,000 x (1.06)^11 = $11,389.79
Value after 11 years with quarterly compounding: $6,000 x (1 + 0.06 /4)^(11 x 4) = $11,552
Value after 11 years with monthly compounding: $6,000 x (1 + 0.06 /12)^(11 x 12) = $11,589.68
The formula for calculating future value when there is continuous compounding is : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rateValue after 11 years: 6,000 x (2.718^0.06) x 11 = $70,080.78
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2, 5, 4, 10, 8, 20 [Hint: It is a combined series: two geometric series. Find common ratio for each by dividing.]
The two combined geometric series is separated and the common ratios are shown
2, 4, 8, - common ratio = 25, 10, 20 - common ratio = 2What is geometric series?The total of a geometric sequence's finite or infinite terms is known as a geometric series.
The ratios of every two successive terms in the series (sum of terms) are equal. this means that
4/2 = 8/4 = 210/5 = 20/10 = 2The common ratio is calculated by dividing the succeeding term (eg 2nd term) by the preceding term (eg 1st term)
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Whats the answer please
The domain of the given function f(x) = (-x - 9)^(1/2) is; C) (-∞, -9)
What is the domain of the function?The domain of a function is defined as the set of all possible input values that make the function possible.
Now, we are given the function;
f(x) = (-x - 9)^(1/2)
This can also be written as;
f(x) = √(-x - 9)
Now, since the item in bracket seems to be negative, we can say that we want to find the lowest term for which the function in bracket is zero because when the function in the bracket is negative, then the function is a complex number. Thus;
At (-x - 9) = 0
-x = 9
x = -9
This will be the maximum value of x while the minimum value will be negative infinity.
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A postage stamp has a mass of 2 cg. How many of these stamps would have a total mass of 1 kg?
Total number of postage stamp having total mass 1 kg = 50000 stamps
Unitary Method: What is it?
The unitary method involves first establishing the value of a single unit, followed by the value of the required number of units. What can be numbers and units?
Let's say you go to the store to purchase six apples. You are told by the shopkeeper that he is selling 10 apples for Rs 100. In this example, the value and the units are the cost of the apples. Understanding the units and values is crucial when using the unitary technique to a problem.
Always write the things that need to be estimated on the right side and the variables that are known on the left side to simplify the task. In the important in the current, the number of apples is known, but it is unclear what they are worth. It should be highlighted that issues with this method are addressed using the concepts of ratio and proportion.
Given That :
1 postage stamp is = 1 cg
now we will convert cg into g
1 cg = 0.01g
1 postage stamp is = 0.02g
now we will convert g into kg
1 g = 0.001 kg
0.01g = 0.00001kg
1 postage stamp is = 0.00002kg
so now
total number of stamp in 1 kg = 1/0.00002 = 50000
Hence the ans is 50000 stamps
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Maya bought a new pack
of trading cards. The cards
originally cost $5.00. She had a
coupon for 20% off. How much
did Maya have to pay for the
trading cards after the coupon?
Find the values of x and y.
Answer: The correct answer is x = 50
Step-by-step explanation:
The sum of angles in a triangle = 180 degrees
This is a right-angled triangle, so one of the angles is 90 degrees + x +y
Therefore: 90 + y + x = 180
Substitute the variables:
90 + 40 + x = 180
130 + x =180
Subtract 130 from each side:
(-130) 130 + x =180 (-130)
x = 50
Linda estimates the number of questions she answered correctly on a test. She answered 8 correctly with probability 0.6, 15 correctly with probability 0.3, and 20 correctly with probability 0.1. What is the expected value of the number of questions Linda answered correctly?
Linda' number of questions has an expected value of 11.3
How to determine the expected value of number of questions?The given parameters in the question are:
8 questions with probability 0.6,
15 questions with probability 0.3
20 questions with probability 0.1
The expected value is then calculated as
E(x) = Sum of (number of questions * probability)
Substitute the known values in the above equation, so, we have the following representation
E(x) = 8 * 0.6 + 15 * 0.3 + 20 * 0.1
Evaluate
E(x) = 11.3
Hence, the expected value is 11.3
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The Top-Notch Middle School had athletes from all the grades playing on a sports team.
6th grade 7th grade 8th grade
Basketball 2 4 7
Baseball 1 6 5
Soccer 7 4 4
Football 8 15 10
Explain what the ratio 8:73 represents.
A: The ratio 8:73 represents the ratio of total athletes to 7th grade football players.
B: The ratio 8:73 represents the ratio of 6th grade football players to total athletes.
C: The ratio 8:73 represents the ratio of 8th grade baseball players to total athletes.
D: The ratio 8:73 represents the ratio of 6th grade athletes to total athletes.
The ratio 8:73 represents B: The ratio 8:73 represents the ratio of 6th grade football players to total athletes.
What is a ratio?It should be noted that ratio demonstrates how many times one number can fit into another number as they contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point to another data point.
In this case, the football players for 6rh grade is 8 and the total number of athletes is 73.
Therefore, the ratio that illustrates this is 8:73.
In conclusion, the correct option is B.
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Answer:
b
Step-by-step explanation:
i took the test and its right :)
For each equation, determine whether it represents a direct variation, an inverse variation, or neither.
Find the constant of variation when one exists and write it in simplest form.
The types of variation and their constants are;
1) Direct variation with constant of variation as -1/4
2) Direct variation with constant of variation as ³/₂
How to Interpret Mathematical Variations?A variation is defined as a relation that exists between a set of values of one variable and then a set of values of other variables.
In variation, if the variables change proportionately that is they either increase together or decrease together, then they are said to vary directly.
1) We are given the equation;
4y = -x
Now, y is the output while x is the input and so we make y the subject to get; y = -¹/₄x
Now, writing the relationship between y and x as a variation, we will have; y ∝ x
For this to be equal, there has to be a constant of proportionality which means; y = kx
Comparing with our equation tells us that;
This is a direct variation with constant of variation as -1/4
2) We are given the equation;
3x = 2y - 7
Rearranging gives;
2y = 3x + 7
y = ³/₂x + 7
Now, the greater the value of x, the greater the value of y and as such this is also a direct variation with the constant of variation being 3/2.
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In order to start a small business, a student takes out a simple interest loan for $4000.00 for 6 months at a rate of
9.75%.
a. How much interest must the student pay?
b. Find the future value of the loan.
Answer:
a. $195
b. $4,195
Step-by-step explanation:
Use the equation A = P(1 + rt)convert rate into decimal (0.0975)convert time into years to make things easier (0.5 years)Solve: A = 4000(1 + (0.0975 × 0.5)) = 4195A = $4,195.00Interest: $4,195 - $4,000 = $195
Wanda walked 43.4 km in 14 days. At this rate, how far would she walk in 40 days?
She would walk__km in 40 days.
Answer:
124 km
Step-by-step explanation:
Wanda walked 43.4 km in 14 days. At this rate, how far would she walk in 40 days? She would walk__km in 40 days.
First, figure km per day:
43.4/14 = 3.1 km per day
3.1 * 40 = 124 km
She would walk 124 km in 40 days.
What is the end behavior of the graph?
Responses
As x approaches infinity, f(x) approaches negative infinity.
As x approaches negative infinity, f(x) approaches negative infinity.
As x approaches infinity, f open argument x close argument approaches negative infinity., , As x approaches negative infinity, f open argument x close argument approaches negative infinity., , ,
As x approaches infinity, f(x) approaches infinity.
As x approaches negative infinity, f(x) approaches infinity.
As x approaches infinity, f open argument x close argument approaches infinity., , As x approaches negative infinity, f open argument x close argument approaches infinity., , ,
As x approaches infinity, f(x) approaches negative infinity.
As x approaches negative infinity, f(x) approaches infinity.
As x approaches infinity, f open argument x close argument approaches negative infinity., , As x approaches negative infinity, f open argument x close argument approaches infinity., , ,
As x approaches infinity, f(x) approaches infinity.
As x approaches negative infinity, f(x) approaches negative infinity.
The end of the graph is
As x approaches infinity, f open argument x close argument approaches negative infinity., , As x approaches negative infinity, f open argument x close argument approaches infinity
as x tends to ∞, f(x) tends to -∞as x tends to -∞, f(x) tends to ∞What is end behavior?The end behavior of function typically says the characteristics of the function at the ends
How to find the end behavior of polynomial functionThis is determined by examining the graph and the coordinates.
The graph shows as at the positive side of the x coordinate, as x tends to ∞ the curve is pointing down - ∞The graph shows as at the negative side of the x coordinate as x tends to - ∞ the curve is pointing up ∞The end behavior is can be written as
x ⇒ ∞ f(x) ⇒ -∞
x ⇒ -∞ f(x) ⇒ ∞
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The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.
2 0, 1, 4
3 1, 2, 6
4 1, 3, 7
5 1, 1
6 5
Key: 3|2 means 3.2
What is the mean, and what does it tell you in terms of the problem?
Using the stem-and-leaf plot, the mean of the data is 3.85.
It means the average feet that the heavy ball was thrown is 3.85 feet, which is the typical number.
How to calculate the Mean of a Data Set represented by Stem-and-Leaf Plot?To find the mean of a data set that is represented by a stem-and-leaf plot, first, list out all the data values that are represented on the stem-and-leaf plot, add all the values and divide by the number of values that was represented on the stem-and-leaf plot.
Given the stem-and-leaf plot above, using the key, the data points represented are:
2.0, 2.1, 2.4, 3.1, 3.2, 3.6, 4.1, 4.3, 4.7, 5.1, 5.1, 6.5
Mean = [2.0 + 2.1 + 2.4 + 3.1 + 3.2 + 3.6 + 4.1 + 4.3 + 4.7 + 5.1 + 5.1 + 6.5]/12
Mean = 46.2/12
Mean = 3.85 feet
The mean of 3.85 feet means that the average distance that the heavy ball was thrown in feet is 3.85.
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The Answer is:
3.85 ft.
* *
-
Help quick please this is hard for me
Answer:
525 cm
Step-by-step explanation:
a heptagon has 7 sides and it can be split into 7 different equal triangles and one already has the side so we just find the area of the triangle.
1/2(12)(12.5)
6(12.5)
75
75 is the area of the triangle so now we multiply by 7
75x7=525 cm
Hopes this helps please mark brainliest
Answer: 525 cm squared
Step-by-step explanation:
Find the area of 1 of the Isoceles triangle and then multiply it by 7, because there are 7 Isoceles triangles in the heptagon. Area= 1/2 base x height = 1/2 x 12cm x12.5cm = 75cm squared. Now 75 cm squared x 7 = 525 cm squared
A helicopter drops a bucket of water onto a forest fire from 38 meters above the blaze. How long does it take the water to fall and reach the flames?
The required time that would it takes to reach the flames is 2.78 sec.
Given that,
A helicopter drops a bucket of water onto a forest fire from 38 meters above the blaze how long it takes the water to fall and reach the flames is to be determined.
Here,
According to the question,
The initial velocity of the water is u = 0, and s = 38
Speed gain by the water is due to the acceleration due to gravity g = 9.8.
The time for water to reach to the ground is given by the second equation of motion.
s = u²t + 1/2gt²
Substitute the values in the above equation,
38 = 1/2(9.8)t²
(9.8)t² = 76
t = √(76/9.8)
t = 2.78 sec.
Thus, the required time that would it takes to reach the flames is 2.78 sec.
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sin cos tan
( )
0
7
ans
Submit Question
I
+
One side of a rectangle is 24 m longer than four times another side. Find the length of the sides, given that
the area of the rectangle is 1408 m². Enter both sides, separated by a comma.
Length of the sides:
Question Help: D Post to forum
1
m
Length= 80 and width = 16 cm in the rectangle .
What is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.let side = x cm
= x( 24 + 4x) = 1408
= 24x + 4x² = 1408
⇒ 4x² + 24x - 1408 = 0
4 ( x² + 6x - 352 ) = 0
x² + 6x - 352 = 0
x² + 22x - 16x - 352 = 0
x( x + 22 ) - 16 ( x + 22) = 0
( x - 16 ) ( x + 22 ) = 0
x= 16 , -22
we take x = 16 because distance never be negative
length = 16 + 4 * 16 = 80 cm
width = 16 cm
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When you add an integer to +3, a negative sum or postive sum is possible. Use an example to show each possibilty.
It is true that when you add an integer to +3, a negative sum or postive sum is possible. An example is 2 + 3 = 5 and -4 + 3 = -1
How to calculate the value?It should be noted that from the information,we want to prove that addition of +3 to an integer can either be negative or positive.
This will be:
= 2 + 3
= +5
In this case, it gives a positive number.
Also, -4 + 3
= -1
This gives a negative number.
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To write a linear equation in point-slope form for a given graph:
First, find the
Choose...
of the line using riserun or the
Choose...
.
Next, substitute the
Choose...
and the
Choose...
into the point-slope formula.
Finally, remember to
Choose...
if possible.
The linear equation in point slope form for the graph given below is y = (4/3)x - 1/3 .
In the question ,
a graph with the line is given
also given that the line passes through the points (1 , 1) and (4 , 5) .
in order to find the linear equation , we first need to find the slope .
slope = (5 - 1)/(4 - 1)
slope = 4/3
So , the linear equation of the line passing through the point (4 , 5) with slope 4/3 , in point slope form is
(y - 5) = (4/3)×(x - 4)
y - 5 = (4/3)x - 16/3
y = (4/3)x - 16/3 + 5
y = (4/3)x -80/15 + 75/15
y = (4/3)x -5/15
y = (4/3)x - 1/3
Therefore , The linear equation in point slope form is y = (4/3)x - 1/3 .
The given question is incomplete , the complete question is
Write a linear equation in point - slope form for the graph given below ?
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What is the image of (-9,12)(−9,12) after a dilation by a scale factor of \frac{1}{3} 3 1 centered at the origin?
The image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).
In the given question,
We have to find the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin.
Since we have to find the image after a dilation.
So we learn about it now,
Any scale factor will dilate the image of any coordinate. A specific scale factor can be used to scale the coordinate up or down. To determine the answer, consider the scale factor in the equation and multiply or divide the coordinates of dilation by the appropriate scale factor.
So the given point is (-9,12).
Scale factor is 1/3.
So the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is define as
=(-9×1/3,12×1/3)
Simplifying
=(-3,4)
Hence, the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).
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For each graph below, state whether it represents a function.
Answer:
graphs 2 and 4 are functions
Step-by-step explanation:
To know if a graph represents a function, draw multiple vertical (straight up and down) lines through the graph. If any of the vertical lines crosses the graph 2 or more times, it is NOT a function.
Which tool helps you record your transactions?
A.
check leaf
B.
checking account
C.
check register
[(3^2)^6]^4
answer for thius
Answer: 7.9766443e+22 all added and multiplied correctly
Complete the statement about the model. The model shows that there are 4 pieces that are each (?) ft long.
The correct statement about the model, using proportions, is given as follows:
The model shows that there are 4 pieces that are each 0.75 ft long.
What is a proportion?A proportion represents a fraction relative to a total amount, and this fraction is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of the problem.
The application of proportions in this problem is to find the length of each piece, which is obtained as the division of the total length of the model by the number of pieces, hence:
Length of each piece = Total length/number of pieces.
The measures are given as follows:
Total length: 3 ft.Number of pieces: 4 pieces.Hence the length per piece is given by:
3 ft / 4 = 0.75 ft.
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Answer:
answer is 3/4!!! hope this helped
State whether the simplification below is true or false 5^-2=1/25
Answer:
true
Step-by-step explanation:
5^ -2
(1/5)^2
1/25
Answer:
That's true :
5^-2= 1/5^2= 1/25
so yes : 5^-2=1/25
Step-by-step explanation:
The table and corresponding frequency polygon show information about the
waiting times of some patients at a dentist.
What fraction of patients waited for more than 7 minutes?
Frequency
10
5
5
Waiting time (a minutes)
10
P
Waiting time
(a minutes)
5< x≤6
6<257
7<#58
8< x≤9
9< x≤ 10
The fraction of the patients that have a waiting time of more than 7 minutes found by using the area under the curve is 269/312
What is a fraction in mathematics?A fraction indicates the quantitative comparison showing the number of times one quantity is contained in another quantity.
The area under the frequency curve is found as follows;
Dividing the area into composite shapes of a rectangle, triangle and trapezoid, we get;
(9.2 - 5.5) × 4 + (4 + 2)×3/2 + (2.5 + (9.2 - 5.5)) × 1/2 + (2.5 + 1.2) × 2/2 + 1.2 × 1/2 = 31.2
The area for those that have a waiting time of more than 7 minutes is therefore;
(9.2 - 5.5) × 4 + (4 + 2)×3/2 + (2.5 + (9.2 - 5.5)) × 1/2 = 26.9
The fraction that have a waiting time of more than 7 minutes is therefore;
26.9/31.2 = 269/312 ≈ 0.862
The fraction of the patients that have a waiting time of more than 7 minutes is 269/312
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find the value of the ratio (red to blue) of the areas of the similar figures. Write the ratio as a fraction in simplest form. 12 and 8
The ratio of the areas of the similar figures is given as follows:
225/16.
What are similar figures?Similar figures are figures that share these two features:
Congruent angle measures, that is, the same angle measures.Proportional side lengths.The ratio of the side lengths of the similar figures can be represented as follows:
(b/a).
The side length is measured in units, while the area is measured in units squared, hence the ratio of the areas of the similar figures is represented as follows:
(b/a)² = b²/a².
From the image of the right triangle shown at the end of the answer, the ratio of the side lengths is:
15/4.
Hence the ratio of the areas of the figures is given as follows:
(15/4)² = 225/16.
Missing InformationThe figures are given by the image at the end of the answer.
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Please Help me its a hard ;--;
Answer: y intercept: (0, -1/7)
Step-by-step explanation:
First you start with y = 10x - 1/7
Since your finding the y-intercept, you turn the 10x into a 0
So you would have y = -1/7
So y = -1/7
is your answer!
