Anna categorized her spending for this month into four categories: Rent, Food, Fun, and Other.
If Anna spent a total of $2900 this month, how much did she spend on Rent?
Answer:
.26 * 2900= 754 dollars
Step-by-step explanation:
I'm not sure if it's right.
Simplify 132-12x12-124:31
Send Photo do in full process
Find the area of the shape shown below.
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
yannie read 24 pages of a book. one fourth of the book is unread.how many pages are there?
Answer:
32
Step-by-step explanation:
24/3=8, 24+8=32
that's how I think of it
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither
Answer:
Step-by-step explanation:
(1). \(\frac{1}{7}\) x + y = 9 and y = - 7x ( Neither ) ; lines intersect.
(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.
(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; \(m_{1}\) = \(\frac{2}{7}\) and \(m_{2}\) = - \(\frac{7}{2}\) , slopes are opposite reciprocals.
(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.
(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; \(m_{1}\) = \(\frac{3}{4}\) and \(m_{2}\) = - \(\frac{4}{3}\) , slopes are opposite reciprocals.
30 + 18 = 6(5 + ___)
Answer:
3
Step-by-step explanation:
30 + 18 = 48
5 + 3 = 8, 6 x 8 = 48
If this was helpful vote brainliest :)
Maria is 5 years older than her younger sister. If Maria will be n years after 7 years, find their total age in terms of n.
Answer:
n+(n-5)
=2n-5
n years Mary's age
n-5 years younger sisters age
Thanks!
Answer/Step-by-step explanation:
Given:
Maria is 5 years older than her younger sister.
If Maria will be n years after 7 years,
To Find:
Find their total age in terms of n.
Solve:
n+(n-5)
n + n = 2n
2n -5
n - years Mary's age
Therefore, n-5 years younger sisters age
[RevyBreeze]
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator
Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
Write a function to describe the following scenario.
After sprinting, Emilie has a heart rate of 160. As
she cools down, her heart rate falls by 12 beats
per minute. What will her heart rate be after a
certain number of minutes?
y = [?] - [ ]2
Answer:
\(r=160-12m\)
Step-by-step explanation:
Heart rate will be represented by \(r\), minutes will be represented by \(m\).
Here's the equation I came up with:
\(r=160-12m\)
We can also rearrange it to look like a point-slope equation. Either way works, it's the same equation.
\(r=-12m+160\)
This works because her heart rate is decreasing by a constant value. The initial heart rate is like the y-intercept, while the amount that it decreases by is the slope.
I hope this helps!
The equation is y=160-12t where t is the time in minutes.
What is a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here, After sprinting, Emilie has a heart rate of 160. As
she cools down, her heart rate falls by 12 beats therefore, we can form the equation as if the time is t minutes of cooling down then we can the heartbeat at a given time as y=160-12t
Hence, the equation is y=160-12t where t is the time in minutes.
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Un profesor de Enseñanza Básica le indica a sus alumnos que escojan tres dígitos
diferentes del conjunto {1, 2, 3, 4, 5} y formen números mixtos colocando los dígitos
en el casillero . También les recuerda que la parte fraccionaria tiene que ser
menor que 1, por ejemplo
2
3
5
. ¿Cuál es la diferencia entre el mayor y el menor de los
números mixtos que se pueden formar?
Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.
A mixed number is a number that has both a whole number and a fraction component. To form three-digit mixed numbers, we need to have a whole number that is less than 100 and a proper fraction that has a denominator less than or equal to 99. Here are some examples:123 4/567 2/8109 1/2382 3/47There are a total of 900 three-digit numbers that can be formed using digits 1 to 9 without repetition. To find the number of three-digit mixed numbers that can be formed, we need to count the number of ways we can choose a proper fraction with a denominator less than or equal to 99. There are 99 possible denominators, and for each denominator, there are 98 possible numerators (excluding 0 and the denominator itself). Therefore, the total number of three-digit mixed numbers that can be formed is:900 x 99 x 98 = 8,334,600There are 8,334,600 three-digit mixed numbers that can be formed using digits 1 to 9 without repetition.For such more question on fraction
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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
How to solveThe three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.
The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.
The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.
The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
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The Question in English
A Basic Education teacher tells his students to choose three digits
different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits
in the locker It also reminds them that the fractional part has to be
less than 1, for example
2
3
5
. What is the difference between the greatest and the least of the
mixed numbers that can be formed?
Find the present value, using the future value formula and a calculator. Future value is $6,000 in two years at 9.5% simple interest. Round your answer to the nearest cent (two decimal places). Enter only the number without $ sign.
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=years\dotfill &2 \end{cases} \\\\\\ A=6000[1+(0.095)(2)]\implies A=6000(1.19)\implies A=7140\)
Help please! Show all your work.
Answer:
If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.
To find the value of k, we can use the given values of y and x:
y = kx
24 = k(12)
k = 2
Now that we know k, we can use the equation to find the value of y when x=16:
y = kx
y = 2(16)
y = 32
Therefore, when x=16, y=32.
There are 60 households in a village. Some households own no car, some own one car, and some own two cars. No
household owns more than two cars. There are more households that own no car than households that own one car, and
more that own one car than two.
(a) (i) What is the smallest total number of cars that could be owned by households in the village? [1]
(ii) What is the largest total number of cars that could be owned by households in the village? [1]
A survey has shown that exactly twice as many households own one car as own two cars.
(b) What now is the largest total number of cars that could be owned by households in the village? [2]
On solving the provided question we can say that - probability of P(A B) = P(A) + P(B) - P(A B)= 70%
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
P(A)= 60%, P(B) = 30%
P(A B) = 20%
P(A B) = P(A) + P(B) - P(A B)= 70%
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Physics graduate student Laura Van Ertia has conducted a complete randomized design with a single factor hoping to solve the mystery of the unified theory and complete her dissertation. The results of this experiment are summarized in the following ANOVA display:
Source DF SS MS F
Factor ? ? 14.18 ?
Error ? 37.75 ?
Total 23 108.63
Answer the following questions about this experiment.
a. The sum of squares for the factor is ____
b. The number of degrees of freedom for the single factor in the experiment is___
c. The number of degrees of freedom for error is ___
d. The mean square for error is ____
e. The value of the test statistic is ___
f. If the significance level is 0.05, your conclusions are not to reject the null hypothesis
Yes
No
g. An upper bound on the P-value for the test statistic is __
h. A lower bound on the P-value for the test statistic is ___
i. Laura used ___ levels of the factor in this experiment
j. Laura replicated this experiment ___ times
k. Suppose that Laura had actually conducted this experiment as a randomized complete block design and the sum of squares for blocks was 12. Reconstruct the ANOVA display above to reflect this new situation. How much has blocking reduced the estimate of experimental error?
Blocking has reduced the estimate of experimental error from MS = 37.75 to MS = 2.65, a reduction of approximately 93%.
What is statistics ?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves using mathematical and computational methods to gather, summarize, and analyze data in order to make inferences and draw conclusions about populations based on samples. Statistics is widely used in fields such as science, medicine, business, engineering, social sciences, and many other areas where data are collected and analyzed. The goal of statistics is to provide insights and knowledge that can be used to make informed decisions and solve problems.
a. The sum of squares for the factor is 14.18
b. The number of degrees of freedom for the single factor in the experiment is DF = 1
c. The number of degrees of freedom for error is DF = 22
d. The mean square for error is MS = 37.75
e. The value of the test statistic is F = 0.376
f. If the significance level is 0.05, your conclusions are not to reject the null hypothesis. Yes
g. An upper bound on the P-value for the test statistic is p ≤ 0.05
h. A lower bound on the P-value for the test statistic is p > 0.01
i. Laura used 2 levels of the factor in this experiment
j. Laura replicated this experiment 12 times
k. Reconstructed ANOVA display:
Source DF SS MS F
Factor 1 14.18 14.18 15.97
Blocks 11 12.00 1.09 -
Error 12 31.75 2.65 -
Total 23 58.93 - -
Therefore, blocking has reduced the estimate of experimental error from MS = 37.75 to MS = 2.65, a reduction of approximately 93%.
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The length of the longer leg of a 30 60 90 triangle is 6. The hyp is 9.
State the solution in Simple Root Form:
State the solution to the nearest tenth:
Step-by-step explanation:
there is something severely wrong with the problem definition.
when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.
and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.
it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...
what ?
so, all I can do here is to show you why I said what I said :
30-60-90 triangle with Hypotenuse = 9
then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...
the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5
a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg
9² = 6² + leg²
81 = 36 + leg²
45 = leg²
leg = sqrt(45) = 6.708203932...
so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.
and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.
therefore, there is everything wrong with the problem definition.
Some chocolate, strawberry, and vanilla doughnuts were placed in a box. Some have a creamy center, and some do not. Suppose one of the doughnuts were chosen randomly from all the doughnuts in the box. According to the table below, if it is known to be strawberry, what is the probability that it does not have a creamy center? Chocolate Strawberry Vanilla Creamy center 6 9 3 No creamy center 6 3 9 A. 25% B. 75% C. 20% D. 50%
A because 25 percent of tje
Step-by-step explanation:
your welcome
Whenever Deven and Laura owe each other money, they "pay" each other using stickers. They've agreed that a Harry Potter sticker is worth 49 dollars and a Twilight sticker is worth 35 dollars. They can even use stickers as "change" if one person overpays the other. For example, if Deven owes Laura 189 dollars, he can give her 6 Harry Potter stickers ($6 \cdot 49 = 294$ dollars), and she can return 3 Twilight stickers ($3 \cdot 35 = 105$ dollars). This trade is like a transfer of $294-105=189$ dollars. What is the smallest positive debt, in dollars, that can be paid off using sticker trading?
The smallest positive debt that can be paid off using sticker trading is $7$ dollars.
To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.
Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.
The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.
In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.
Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.
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32 is 9 less than a number
Answer:
32-9=23
23
Step-by-step explanation:
Answer:
41
Step-by-step explanation:
find x
a.204
b.90
c.78
d.102
Answer:
Hope you can understand my handwriting though
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
Erick and Mia live the same distance from the park and decide to meet at
the park one afternoon. The graphs show their distances from home over
the same 30-minute period as they walked to the park. Each section of
each graph represents 10 minutes.
Which of these statements are true?
Mia returned too her house after 10 minutes. T or F
Mia left her house 10 minutes before Erick left his house. T or F
It took Erick only 10 minutes to walk to the park. T or F
Erick and Mia arrived at the park at the same time. T or F
Erick walked the same distance as Mia during the last 10 minutes. T or F
B, Mia departed her home ten minutes before Erick did.
D, Erick, and Mia all showed up simultaneously at the park.
E, In the previous ten minutes, Erick and Mia both walked the same distance.
What distinguishes a graph from a chart ?A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).
A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.
According to the given information
According to the information given in the graph
We got the following true Statements
B, Mia departed her home ten minutes before Erick did.
D, Erick, and Mia all showed up simultaneously at the park.
E, In the previous ten minutes, Erick and Mia both walked the same distance.
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Which is the graph of g(x)=[x+3
The graph of the function g(x) = x + 3 is a straight line that passes through the point (0, 3) on the y-axis and has a slope of 1.
To understand how to plot the graph, let's consider a few points on the line.
We can choose any values for x and calculate the corresponding values for g(x).
Let's start with x = 0.
Substituting this value into the function, we get g(0) = 0 + 3 = 3.
So, the point (0, 3) is on the graph.
Next, let's choose x = 1.
Substituting this value into the function, we get g(1) = 1 + 3 = 4.
This gives us another point on the line, (1, 4).
Similarly, we can choose more values for x and calculate the corresponding values for g(x).
For example, if we let x = -1, we get g(-1) = -1 + 3 = 2, giving us the point (-1, 2).
By connecting these points and extending the line in both directions, we obtain a straight line that represents the graph of g(x) = x + 3.
The line has a positive slope of 1, which means it rises by 1 unit vertically for every 1 unit it moves horizontally.
Overall, the graph of g(x) = x + 3 is a straight line that passes through the point (0, 3) and has a slope of 1.
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19
Select the correct answer.
A developer buys an empty lot to build a small house. What is the area of the lot?
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
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Answer:
Step-by-step explanation:
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
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two pounds of sugar cost $1.50 how much sugar do you get per dollar
Answer:
you get a pound of sugar for 75 cents
Step-by-step explanation:
1.5 / 2 = 0.75
you get a pound of sugar for 75 cents
Simplify the polynomial, then evaluate for x = 2.
x+3x²+2x-3-4x²+6
x² + 3x + 9; 19
x² + 3x + 3; 5
-x² + 3x + 9; 11
O
O
-x² + 3x + 3; 13
Answer:
x^2 + 3x + 9 = (x + 3)(x + 3)
When x = 2, we have:
(2 + 3) * (2 + 3)
5 * 5
25
What can you tell about a triangle when vibe three side lengths
Answer:All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
Hope it helps...
solve for the value of S
Answer:
s = 36°
Step-by-step explanation:
Step 1: Equation
( s - 4 )° + 90° + 58° = 180°
Step 2: Simplify
( s - 4 )° + 148° = 180°
Step 3: Solve
( s - 4 )° = 32°
Answer:
s = 36°
Hope This Helps :)
Answer:
s = 36 degrees
Step-by-step explanation:
We have 180 degrees, which is the half circle. We also have the 58 degrees, (s-4) degrees, and there is a right angle, so we also have 90 degrees.
Our equation:
180 = 90 + 58 + (s-4) Add 90 and 58
180 = 148 + (s-4) Subtract 148 from both sides
-148 -148
32 = s - 4 Add 4 to both sides
+4 +4
36 = s
Maggie's brother is 10 years younger than three times her age. The sum of their ages is 50. How old is Maggie?
Maggie is _____ Years old
Answer:
9
Step-by-step explanation:
Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X:(a) f(x) = c(x2 + 4), for x = 0, 1, 2, 3;(b) f(x) = c (2x) (33-x) , for x = 0, 1, 2. 2.^^(2 is supposed to be directly above x, but not in fraction form, same for 3 and 3-x)
The value of c is 1/17.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2
We have to find the value of c
Since f(x) represents the probability distribution x = 0, 1 ,2
So we have f(0)+f(1)+f(2)=1
c(0²+4)+c(1²+4)+c(2²+4)=1
4c+5c+8c=1
17c=1
Divide both sides by 17
c=1/17
Hence, the value of c is 1/17.
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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?
a.
1/3
b.
1/17
c.
1/2
d.
1/13
The length of a picture frame is 7 inches more than the width. For what values of x is the perimeter of the picture frame greater than 150 inches?