Sandra needs 8 bowls to divide the trail mix equally.
To determine the number of bowls Sandra needs, we need to divide the total weight of the trail mix by the weight of each bowl.
First, we need to convert the weight of the trail mix from pounds to ounces. There are 16 ounces in a pound, so 5.2 pounds is equal to 5.2 x 16 = 83.2 ounces.
Next, we need to convert the weight of each bowl from pounds to ounces. There are 16 ounces in a pound, so 0.65 pounds is equal to 0.65 x 16 = 10.4 ounces.
Now that we have both weights in the same units, we can divide the total weight of the trail mix by the weight of each bowl to find the number of bowls needed.
⇒ 83.2 ounces / 10.4 ounces per bowl
Apply the division operation,
⇒ 8 bowls.
Therefore, she needs 8 bowls to divide the trail mix equally.
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Suppose 3 < a <5 and 5 < b < 7. Find all possible values of each expression.
-2a + b
The range of possible values for the expression -2a + b is -3 ≤ -2a + b ≤ -1.
.Given the inequalities 3 < a < 5 and 5 < b < 7, we need to find all possible values of the expression -2a + b. We can start by substituting the given values of a and b in the expression.
Since a is between 3 and 5, the maximum value of -2a will be -2(3) = -6.
Similarly, since b is between 5 and 7, the minimum value of b will be 5, giving us a possible minimum value of -2a + b as -6 + 5 = -1. On the other hand, the minimum value of -2a will be -2(5) = -10, and the maximum value of b will be 7, giving us a possible maximum value of -2a + b as -10 + 7 = -3.
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i need answer quick plzz
Answer:
a is ur answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
11-20, as it is the same range as the first histogram bar (1-10), and doesn't include 10 because it would overlap data.
A guide wire for a pan tree makes a 40 degree angle with the ground and is staked 6 feet from the base of the tree. What is the length to the nearest tenth?
The length οf the guide wire frοm the grοund tο the palm tree οf the given trigοnοmetric functiοn is apprοximately 7.8 feet(οptiοn b)
What is trigοnοmetric functiοn?In mathematics , trigοnοmetric functiοns which is alsο called circular functiοns οr angle functiοns are thοse which are real functiοns that relate the angle οf a right triangle tο the ratiοs οf twο side lengths.
We here use the trigοnοmetric functiοn cοs tο sοlve the prοblem.
cοs angle =(adjacent side)/hypοtenuse
cοs 40° = 6/x
length(x)= 6/cοs40°
length= 6/0.766044
length= 7.8
Hence, the length is apprοximately 7.8 feet.
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Find an angle in each quadrant with a common reference angle with 165°, from 0°≤θ<360°
Answer:
Here are the angles in each quadrant with a common reference angle of 165°:
First quadrant: angle is 15° (subtract 165° from 180°)
Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)
Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)
Fourth quadrant: angle is 195° (subtract 165° from 360°)
X3-x-9=0 bisection method
Step-by-step explanation:
The bisection method is a root-finding algorithm that repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing. To apply the bisection method to the equation x^3 - x - 9 = 0, you need to find two initial values a and b such that f(a) and f(b) have opposite signs. This means that there is at least one root of the equation in the interval [a, b].
Let’s take a = 2 and b = 3 as our initial interval. We can see that f(2) = 2^3 - 2 - 9 = -1 and f(3) = 3^3 - 3 - 9 = 18, so f(a) and f(b) have opposite signs.
Now we can apply the bisection method as follows:
Calculate the midpoint c = (a + b)/2 = (2 + 3)/2 = 2.5.
Evaluate f© = 2.5^3 - 2.5 - 9 ≈ 5.625.
Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.
Calculate the new midpoint c = (a + b)/2 = (2 + 2.5)/2 = 2.25.
Evaluate f© ≈ 1.765625.
Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.
We can continue this process until we reach the desired level of accuracy.
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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The number 4 is what percent of 5? A. 0.8% B. 1.25% C. 80% D. 125%
Answer:
The answer is C. 80%
Step-by-step explanation:
Hope this helped:)
4(18)
2(9)
How do I solve this and what is the answer
Answer:
Answers are below
Step-by-step explanation:
All you have to do is multiply so,
4(18)
4*18 = 72
2(9)
2*9 = 18
Find the quotient or 4/5 and 6/7 give ur answer as a fraction in simplest form
Answer:
14/15
Step-by-step explanation:
Let me know if i got it right if not I'm sorry :(
The required quotient would be 14/ 15 which is a fraction.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
We have been given that two numbers are 4/5 and 6/7
To determine the quotient or 4/5 and 6/7
⇒ 4/5 ÷ 6/7
⇒ 4/5 / 6/7
Reciprocal the term of denominator,
⇒ 4/5 × 7/6
Apply the multiplication operation,
⇒ 28 / 30
Reduce the above fraction to the simplest form
⇒ 14/ 15
Therefore, the required quotient would be 14/ 15 which is a fraction.
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Yolanda used her graphing calculator to graph y= 3x. Her graph is shown at right. Do you think she
did it correctly? Explain.
WILL GIVE 30 POINTS TO WHOEVER SOLVES THIS
Answer:
142 square meters
Step-by-step explanation:
Big rectangle Area = LxW = 18 x9= 162
White triangle Area A = (ab)/2 legs 5 and 8 ( 18-10= 8 )
= (5x8)/ 2 = 20
Subtract white triangle from green rectangle
162-20 = 142
OR
area left rectangle LxW 10x9 = 90
area right rectangle LxW 4x8 =32
area green triangle ( sides 5 an8 ) (ab)/2 = 20
90+32+20 = 142
A student solves the following equation and determines that the solution is −2. Is the student correct? Explain. 3/a + 2 − 6a/a2 − 4 = 1 /a − 2
The value of a is mathematically given as a=1.68989794. Both sides of the equation are unequal with -2 , Hence No, the student is not correct
What is an equation?An Equation is simply defined as an mathematical statement, where two mathematical expressions are made equal to one another.
Was the solution of -2 given by the student to the equation correct?Question Parameter(s):
. 3/a + 2 − 6a/a2 − 4 = 1 /a − 2
Firstly, for the student to be correct the value -2 as a value of a must render the equation equal to zero
Generally, the equation is mathematically given as
3/a + 2 − 6a/a2 − 4 = 1 /a − 2
Subbing -2
3/(-2) + 2 − 6(-2)/(-2)2 − 4 = 1 /(2) − 2
-15.5-1.5
In conclusion, both sides are unequal
therefore, student, a is not correct
The correct value of a=1.68989794
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Answer:
No, the student did not check the solution to the derived equation in the original equation.
No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.
No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.
Step-by-step explanation:
edge 2023
Alijah had a taxable income of $8450 and filed his federal income tax return with the Single filing status. Using the table below, find the amount he has to pay in taxes.
Single
Taxable income is over
8.350
33 950
82.750
171.550
372,950
But nat over
8,350
33.950
82,250
171.550
372.550
The tax is
Plus
50.00
835.00
4 675.00
16.750.00
41,754.00
108,216.00
10%
15%
25%
20%
33%
35%
Of the
amount over
50
8.350
33.950
82,250
171.550
372,850
O A. $835.00
• B. $850.00
O c. $2087.50
O D. $1252.50
Answer:
Step-by-step explanation:
67
Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.
Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.
This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.
He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.
Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.
Thus, looking at the provided options, option B ($850.00) would be the correct answer.
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PLEASE HELP AND EXPLAIN!
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
Solve for x.
3x + 7 = 28
O A. x=-7
OB. x= 2.3
O c. x=7
OD. = 11.6
E. x = 18
Answer:
The answer is C, x = 7.
Step-by-step explanation:
3x + 7 = 28
-7. -7
3x = 21
/3. /3
x = 7
WILL GIVE BRAINLIEST! HURRY
Answer:
\(x = - 8\)
Second answer is correct
Step-by-step explanation:
\( - 4(2x + 3) = 2x + 6 - (8x + 2) \\ - 8x - 12 = 2x + 6 - 8x - 2 \\ - 8x - 12 = - 6x + 4 \\ - 8x + 6x = 12 + 4 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8\)
hope this helps
Is 3/12 a rational number
Answer: It is
Step-by-step explanation:
3/12 is actually a quarter which is equal to 0.25. It certainly isn't an irrational number, but is indeed a rational one.
Answer:
3/12 is actually a quarter which is equal to 0.25.
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator,p, and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer.
Yes it is...
:)
Hope I got it right :P
What is the surface area of this right rectangular prism?
Enter your answer as a mixed number in the simplest form.
ft²
Answer:
A≈32\(\frac{3}{10}\)ft²
--
To find the surface area of a right rectangular prism you must use this formula A=2(wl+hl+hw)
Then plug in your variebles
A=2( 1.33*1.5+5+1.5+5+1.33)
This comes out to be A≈32 \(\frac{3}{10}\)
Answer:
32 1/3 ft² for K12
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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the mean monthly electric bill is 132 residents of the local apartment complex is $86 what is the best point estimate for the mean monthly electric bill for all residents of the local apartment complex?
Considering the sample mean, the best estimate for the mean monthly electric bill for all residents of the local apartment complex is of $86.
How to find the point estimate of a population parameter?The point estimate for the population parameter is found according to the parameter for a sample from the population. For example:
The best point estimate for the population mean is the sample mean.The best point estimate for the population standard deviation is the sample standard deviation.In this problem, the mean bill for 132 residents is of $86, hence the best estimate for the mean monthly electric bill for all residents of the local apartment complex is of $86.
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Best way to solve this type of equation Ax+by=c
The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.
Quadratic equation
The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.
The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.
Hence, either of the three methods are good ways to solve such equation.
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how do u graph the solution y=2x-1 iready
Answer:
Step-by-step explanation:
y=mx+b
m= slope and b= y intercept
you'll start with a point on the y axis on -1
and the slope will go up so towards the right corner up but 2/1 points
what is da rate to question
The calculated value of the rate of the graph is 0.8
How to determine the rate of the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(0, -16) and (20, 0)
The rate of the graph is calculated as
Rate = Change in y/x
using the above as a guide, we have the following:
Rate = (0 + 16)/(20 - 0)
Evaluate
Rate = 0.8
Hence, the rate is 0.8
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At a Forex Bureau, one US dollar costs Ug.sh.2800. How much Ugandan shillings will a tourist who has US dollars 600 get?
Answer:
1,680,000 shillings
Step-by-step explanation:
As one US dollar is 2800, and the dollar is repeated 600 times. You multiply Both
=2,800×600
=1,680,000 shillings
--~Hope you understood~--
PLZZZZ I WILL GIVE BRAINLIST
Answer:
I recommend you download pho tomath
2. What is equivalent to the value of the complex number
(1 Point)
5i2
The equivalent value of the complex number 5i² will be -5.
What is a complex number?The number can be written in the form of a+bi and is called a complex number. The complex number consists of two parts first is the real part and the second is the imaginary part.
Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given complex number is 5i². The equivalent expression can be written as:-
E = 5i²
E = 5 x ( -1 )²
E = 5 x -1
E = -5
Therefore, the complex number 5i² has an equivalent value of -5.
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In each rule , copy the chart and fill in the missing parts
Answer:
7. 14
15. 30
28. 56
32. 64
18 36
x 2x
1/2y. y
2x. 4x
x+3 2x+9
Step-by-step explanation:
each out is double the in
What is the value of x?
P
80°
x+84°
3x
R
Q
Answer:
x = 49
Step-by-step explanation:
The sum of angles is 360
(x + 84) + 80 + 3x = 360
x + 3x = 360 - 84 - 80
4x = 196
x = 196/4 = 49
what is the property to 3(4+n)=12+3n