1. Find the missing side length. Round your answer to the nearest tenth.
6.7 21.3 5.5 43.2
2. Find the length of side a. Round to the nearest tenth.
12 378.4 18.3 19.5
3. Find the length of side BA. Round to the nearest hundredth.
0.42 0.65 0.83 1.25
Answers
QUESTION 1
We can use the cosine rule to find the missing side length.
Recall that the cosine rule for a triangle with sides a,b,c and an included angle A is
[tex]a^2=b^2+c^2-2bc\cos A[/tex]
Let the missing side length in the triangle with sides 6, 9 and the included angle of [tex]37\degree[/tex] be [tex]a[/tex] units.
We then substitute the values into the cosine rule to obtain;
[tex]a^2=6^2+9^2-2(6)(9)\cos 37\degree[/tex]
[tex]a^2=36+81-108\cos 37\degree[/tex]
[tex]a^2=30.747[/tex]
[tex]\Rightarrow a=\sqrt{30.747}[/tex]
[tex]\Rightarrow a=\sqrt{30.747}[/tex]
[tex]\Rightarrow a=5.5[/tex] units to the nearest tenth.
QUESTION 2
We again use the cosine rule: [tex]a^2=b^2+c^2-2bc\cos A[/tex]
We substitute the given values to obtain;
[tex]a^2=11^2+13^2-2(11)(13)\cos 108\degree[/tex]
[tex]a^2=121+169-286\cos 108\degree[/tex]
[tex]a^2=378.379[/tex]
[tex]\Rightarrow a=\sqrt{378.379}[/tex]
[tex]\Rightarrow a=19.5[/tex] to the nearest tenth
QUESTION 3
We again use the cosine rule :
[tex]|BA|^2=(\frac{1}{2})^2+(\frac{1}{3})^2-2(\frac{1}{2})(\frac{1}{3})\cos 100\degree[/tex]
[tex]|BA|^2=0.418899[/tex]
[tex]|BA|=\sqrt{0.418899}[/tex]
[tex]|BA|=0.65[/tex] to the nearest hundredth
Related Questions
Can somebody please help me with my hw
Answers
Answer:
Each base is 40
Step-by-step explanation:
An isosceles triangle has a total of 180. An isosceles has two sides that are the same and one different. Think of “sos” in the word isosceles to help. If one is 100, then you have 80 left. 80 divided by 2 is 40.
Can someone help please?!? ):
Answers
Answer:
5, 6, 11, 17, 28Step-by-step explanation:
[tex]a_1=5,\ a_2=6,\ a_n=a_{n-1}+a_{n-2}\\\\a_3=a_2+a_1\\a_4=a_3+a_2\\a_5=a_4+a_3\\\\\text{first term:}\ 5\\\text{second term:}\ 6\\\text{third term:}\ 6+5=11\\\text{fourth term:}\ 11+6=17\\\text{fifth term:}\ 17+11=28[/tex]
What is the recursive rule for this geometric sequence?
-64,-16,-4,-1, ...
Enter your answers in the boxes
An= __ •an-1
A1= __
Answers
A1(nilai sebutan pertama)=-64
Answer:
1/4
-64
Step-by-step explanation:
The function f(x)=x^2-4x+4 is shifted 3 units to the right to create g(x). What is g(x)
Answers
Answer:
g(x) = x² - 7x + 16Step-by-step explanation:
f(x) + n - shift the graph of f(x) n units up
f(x) - n - shift the graph of f(x) n units down
f(x - n) - shift the graph of f(x) n units to the right
f(x + n) - shift the graph of f(x) n units to the left
===================================
f(x) = x² - 4x + 4 shifted 3 units to the right. Therefore g(x) = f(x - 3):
g(x) = (x - 3)² - (x - 3) + 4 use (a - b)² = a² - 2ab + b²
g(x) = x² - 2(x)(3) + 3² - x - (-3) + 4
g(x) = x² - 6x + 9 - x + 3 + 4 combine like terms
g(x) = x² + (-6x - x) + (9 + 3 + 4)
g(x) = x² - 7x + 16
Johnny wants to buy a 60" LED Smart TV, so he opened a savings account and added money to it every month. The chart below shows the relationship between the number of months Johnny has been saving and the total amount of money in his account.
Answers
Match the function with its graph.
1) y= tan x
2) y= cot x
3) y= -tan x
4) y= -cot x
Answers
Answer:
Option a. 1C, 2A, 3B, 4D.
Step-by-step explanation:
1) We know that tan(x)=sin(x)/cos(x). If x=0, sin(x)=0 and cos(x)=1 then tan(x)=0. For that reason, we know that the graph passes through the point (0,0).
If x=45, then sin(45)= [tex]\frac{\sqrt{2}}{2}[/tex] and cos(45)=[tex]\frac{\sqrt{2}}{2}[/tex]. Thus tan(45)=1. The only graph that passes through the point (0,0) and is possitive when x=45 is the graph C.
2) We know that cot(x)=cos(x)/sin(x). If x=0, sin(x)=0 and cos(x)=1 then tan(x)=+∞. For that reason, we know that the graph has an asymptote in y=0, in other words, it never crosses the y-axis.
If x=45, then sin(45)= [tex]\frac{\sqrt{2}}{2}[/tex] and cos(45)=[tex]\frac{\sqrt{2}}{2}[/tex]. Thus cot(45)=1. The only graph that has an asymptote in y=0 and is possitive when x=45 is the graph A.
3) We know that -tan(x)=-sin(x)/cos(x). If x=0, sin(x)=0 and cos(x)=1 then -tan(x)=0. For that reason, we know that the graph passes through the point (0,0).
If x=45, then sin(45)= [tex]\frac{\sqrt{2}}{2}[/tex] and cos(45)=[tex]\frac{\sqrt{2}}{2}[/tex]. Thus -tan(45)=-1. The only graph that passes through the point (0,0) and is negative when x=45 is the graph B.
) We know that -cot(x)=-cos(x)/sin(x). If x=0, sin(x)=0 and cos(x)=1 then tan(x)=-∞. For that reason, we know that the graph has an asymptote in y=0, in other words, it never crosses the y-axis.
If x=45, then sin(45)= [tex]\frac{\sqrt{2}}{2}[/tex] and cos(45)=[tex]\frac{\sqrt{2}}{2}[/tex]. Thus -cot(45)=-1. The only graph that has an asymptote in y=0 and is negative when x=45 is the graph D.
The correct matches of the functions with their graphs are as follows: 1) y = tan(x) matches with graph C, 2) y = cot(x) matches with graph A, 3) y = -tan(x) matches with graph B, and 4) y = -cot(x) matches with graph D.
1) y = tan(x) matches with graph C:
- The tangent function has a period of π (180 degrees) and is undefined at odd multiples of π/2 (90 degrees). This is why it has vertical asymptotes at x = π/2, 3π/2, etc.
- The graph of y = tan(x) passes through (0, 0) because tan(0) = 0.
- It has a repeating pattern where it increases to positive infinity as it approaches the vertical asymptotes and decreases to negative infinity as it approaches the odd multiples of π/2.
2) y = cot(x) matches with graph A:
- The cotangent function is the reciprocal of the tangent function: cot(x) = 1/tan(x). It is undefined at even multiples of π/2 (0, π, 2π, etc.), which is why it has vertical asymptotes at x = 0, π, 2π, etc.
- The graph of y = cot(x) never crosses the y-axis, and it has an asymptote at y = 0.
- It has a repeating pattern where it approaches 0 as it approaches the vertical asymptotes.
3) y = -tan(x) matches with graph B:
- The negative tangent function, -tan(x), is the reflection of the positive tangent function y = tan(x) about the x-axis.
- The graph of y = -tan(x) passes through (0, 0) because -tan(0) = 0.
- It has a repeating pattern similar to the positive tangent but is reflected about the x-axis.
4) y = -cot(x) matches with graph D:
- The negative cotangent function, -cot(x), is the reflection of the positive cotangent function y = cot(x) about the x-axis.
- The graph of y = -cot(x) never crosses the y-axis, similar to the positive cotangent, and it has an asymptote at y = 0.
- It has a repeating pattern similar to the positive cotangent but is reflected about the x-axis.
To know more about functions, refer here:
https://brainly.com/question/21939592
#SPJ3
Please help - will mark brainlest
Answers
Answer:
C 294
Step-by-step explanation:
We can use proportions to solve. Put number of miles over gallons
202 miles x miles
--------------- = ----------------
11 gallons 16 gallons
Using cross products
202*16 = 11 x
Divide by 11 on each side
202*16/11 = 11x/11
293.81818181818 =x
To the nearest whole number
294 miles =x
A division problem can be written out using repeated subtraction. Which division problem is solved below? 40 - 4 - 4 - 4 - 4 - 4 - 4 - 4 - 4 - 4 - 4
Answers
Answer:
The problem that is getting solved is 40 divided by zero
Answer:
Step-by-step explanation:
This is a faulty way of showing it. What you are solving here is
40 - 10*4 which is 0. What is transcribed is not equivalent to any division that I can see.
Perhaps 0/40
If you have answers, please list them.
Im on a time limit! could someone help me with this?
Answers
Answer:
B is the answer because the other equations have real numbers
Step-by-step explanation:
Answer:
B is the correct answer
Step-by-step explanation:
What is the common factor of the numerator and denominator in the expression [tex]\frac{(2x+3)(x-4)}{(x-4)(x+4)}[/tex]
Enter your answer as a binomial, like this: x + 7
Answers
Answer:
Step-by-step explanation:
(x - 4)
What you are being asked to do is find the exact same binomial in the top as is in the bottom.
But there's a small catch. You must stipulate that x cannot equal 4. If it does, then you will get 0/0 which is undefined. You can't have that happening -- not at this level.
Any other value for x is fine.
The length of an intercepted arc of a central angle of a circle is 4 cm. If the radius of the circle is 5 cm, what is the measurement of the central angle to the nearest whole degree?
A) 35°
B) 41°
C) 46°
D) 50°
Answers
Answer:
C
Step-by-step explanation:
The formula we use here is:
Length of arc = [tex]\frac{\theta}{360}*2\pi r[/tex]
Where
[tex]\theta[/tex] is the central angle
r is the radius
Putting the given information into the formula we can solve for the central angle:
[tex]LengthOfArc=\frac{\theta}{360}*2\pi r\\4=\frac{\theta}{360}*2\pi(5)\\4=\frac{\theta}{360}*10\pi\\\frac{4}{10\pi}=\frac{\theta}{360}\\\theta=\frac{4*360}{10\pi}\\\theta=45.84[/tex]
rounded to nearest degree, we have 46 degree
C is the right answer.
Answer: OPTION C
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
- Use the following formula for calculate the measure fo the central angle:
[tex]\theta=\frac{s}{r}[/tex]
Where s is the arc length and r is the radius.
- Know the lenght of the arc and the radius, you can substitute values.
Therefore, you obtain;
[tex]\theta=\frac{4}{5}=0.8\ radians[/tex]
Convert to degrees:
[tex]\frac{(0.8)(180\°)}{\pi}=45.83\°[/tex]≈46°
I f(x)= square root x-3 which inequality can be used to find the domain of f(x)
Answers
Answer:
[tex]x\ge3[/tex]
Step-by-step explanation:
The given function is [tex]f(x)=\sqrt{x-3}[/tex].
The domain of this function refers to all values of x, for which the function is defined.
This square root function is defined when the expression under the radical sign is greater or equal to zero.
That is; the domain of the function is [tex]x-3\ge0[/tex]
This implies that [tex]x\ge3[/tex]
Find sec x if tan^2 x= 1/2
(picture provided)
Answers
Answer: option d.
Step-by-step explanation:
Based on the information given in the problem, you know that:
[tex]tan^2x=\frac{1}{2}[/tex]
You also know that:
[tex]sec^2(x)=tan^2(x)+1[/tex]
Substitute values. Then, you obtain:
[tex]sec^2(x)=\frac{1}{2}+1\\\\sec^2(x)=\frac{3}{2}[/tex]
Apply square root to both sides. Therefore, you obtain:
[tex]\sqrt{sec^2(x)}=\±\sqrt{\frac{3}{2}}\\\\sec(x)=\±\frac{\sqrt{3}}{\sqrt{2}}\\\\sec(x)=\±\frac{\sqrt{3}}{\sqrt{2}}\frac{\sqrt{2}}{\sqrt{2}}\\\\sec(x)=\±\frac{\sqrt{3(2)}}{2}\\\\sec(x)=\±\frac{\sqrt{6}}{2}[/tex]
Answer:
D
Step-by-step explanation:
What number represents the same amount as 2 hundreds ++plus 14 tens ++plus 3 ones?
Answers
343 is the answer because 14 tens is 1 hundred and 4 tens
The number that represents 2 hundreds, 14 tens, and 3 ones is 343, by adding each place value: 200 + 140 + 3.
Explanation:The student asks how to represent the quantity consisting of 2 hundreds, 14 tens, and 3 ones in a single number.
To solve this, we can convert each quantity to its respective place value in the decimal system and sum them.
Two hundreds is equal to 200 (2 x 100), 14 tens equals 140 (14 x 10), and 3 ones equals 3 (3 x 1).
Adding them together gives us 200 + 140 + 3 = 343.
Can you help me with this question?
Answers
Sure. To make an equilateral triangle we make any segment AB, which is already done, then we draw one circle (or an arc from the circle) with center A and radius AB, and one circle with center B and radius AB. The two circles intersect at two points; we call either one of them C and ABC is equilateral.
Answer: C
a cube has a side length of 4 feet what is the volume of the cube
Answers
Answer:
V=64
Step-by-step explanation:
What you do is go based off the volume formula of a cube which is V=a^3.
You have a side length of 4.
V=4^3.
V=64.
A number is divided by 3 and then 5 is subtracted from the quotient the result is 1. Whats the number?
Answers
ANSWER
The number is 18.
EXPLANATION
Let the number be x.
When this number is divided by 3, we obtain the quotient,
[tex] \frac{x}{3} [/tex]
When 5 is subtracted from this quotient, we get,
[tex] \frac{x}{3} - 5[/tex]
If the result is 1, then we have;
[tex] \frac{x}{3} - 5 = 1[/tex]
We group similar terms to get,
[tex] \frac{x}{3} = 1 + 5[/tex]
This gives us,
[tex] \frac{x}{3} = 6[/tex]
Multiply both sides by 3.
[tex]x = 6 \times 3[/tex]
[tex]x = 18[/tex]
Therefore the number is 18.
Ken ate 2?7 of the chocolate bar one day and 8?14 the next day. How much of the chocolate bar did Ken eat?
Answers
Answer:
6/7
Step-by-step explanation:
8/14 simplified is 4/7.
So 2/7+4/7=6/7.
Identify the area of the rhombus. PLEASE HELP! I'm desperate!!
Answers
Area = 1/2(diagonal) * √4*side^2 - diagonal^2
Area = 1/2(16)*√(4*17^2 - 16^2)
Area = 8 * √(4*289-256)
Area = 8 *√900
Area = 8 * 30
Area = 240 m^2
If 2/3x + 4 less than or equal to 14 what is the largest possible value of 7x - 2
Answers
⅔x+4≤14
⅔x≤10
2x≤30
x≤15
Max value of x is 15
7x-2≤?
7(15)-2=105-2=103
7x-2≤103
Greatest value for 7x-2 is 103
Can someone help on 3 vertex, parabola questions real quick?
1. Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.
y = 1/28x^2
x = 1/28y^2
-28y = x^2
y^2 = 14x
2. Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -4).
y = -1/4x^2
y^2 = -4x
y^2 = -16x
y = -1/16x^2
3. Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y = 9.
y = -1/9x^2
y^2 = -36x
y = -1/36x^2
y^2 = -9x
Answers
Answer:
lol
Step-by-step explanation:
Write and equation of the translated or rotated graph in general form (picture below)
Answers
Answer:
The answer is ellipse; 3x² + y² + 6x - 6y + 3 = 0
Step-by-step explanation:
* At first lets talk about the general form of the conic equation
- Ax² + Bxy + Cy² + Dx + Ey + F = 0
∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.
∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.
∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.
* Now we will study our equation:
* 3x² + y² = 9
∵ A = 3 , B = 0 , C = 1
∴ B² - 4 AC = (0)² - 4(3)(1) = -12
∴ B² - 4AC < 0
∴ The graph is ellipse or circle
* If A and C are nonzero, have the same sign, and are not
equal to each other, then the graph is an ellipse.
* If A and C are equal and nonzero and have the same
sign, then the graph is a circle.
∵ A and C have same signs with different values
∴ It is an ellipse
* Now lets study T(-1 , 3), that means the graph will translate
1 unit to the left and 3 units up
∴ x will be (x - -1) = (x + 1) and y will be (y - 3)
* Lets substitute the x by ( x + 1) and y by (y - 3) in the equation
∴ 3(x + 1)² + (y - 3)² = 9
* Use the foil method
∴ 3(x² + 2x + 1) + (y² - 6y + 9) = 9
* Open the brackets
∴ 3x² + 6x + 3 + y² - 6y + 9 = 9
* Collect the like terms
∴ 3x² + y² + 6x - 6y + 12 = 9
∴ 3x² + y² + 6x - 6y + 12 - 9 = 0
∴ 3x² + y² + 6x - 6y + 3 = 0
* The answer is ellipse of equation 3x² + y² + 6x - 6y + 3 = 0
A survey of eating habits showed that approximately 4% of people in a certain city are vegans. Vegans do not eat meat, poultry, fish, seafood, eggs, or milk. A restaurant in the city expects 350 people on opening night, and the chef is deciding on the menu. Treat the patrons as a simple random sample from the city and the surrounding area, which has a population of about 600,000. If 17 vegan meals are available, what is the approximate probability that there will not be enough vegan mealslong dashthat is, the probability that 18 or more vegans will come to the restaurant? Assume the vegans are independent and there are no families of vegans.
Answers
The approximate probability that there will not be enough vegan meals is 94.88%.
Explanation:To calculate the approximate probability that there will not be enough vegan meals, we need to find the probability that 18 or more vegans will come to the restaurant. Since the survey showed that approximately 4% of people in the city are vegans, we can use this information to estimate the probability.
First, we find the number of vegans in the city and surrounding area by multiplying the total population by the percentage of vegans: 600,000 * 0.04 = 24,000.
Next, we calculate the probability of 18 or more vegans showing up out of 24,000 by using a binomial distribution with n = 350 (the number of people expected on opening night) and p = 0.04 (the probability of a person being vegan). We then sum the probabilities for 18, 19, 20, ..., 350 vegans.
Using a calculator or statistical software, we find that the approximate probability is 0.9488, or 94.88%.
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 5x − 6y = 3 10x − 12y = 6 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =
Answers
Final answer:
The system of equations has infinitely many solutions because they represent the same line. The solution can be written in terms of the parameter t as (x, y) = ((3 + 6t)/5, t).
Explanation:
The student's question involves determining the type of solution a system of two linear equations has and finding the solution if it exists. The given system of equations is:
5x - 6y = 3
10x - 12y = 6
Notice that the second equation is just the first equation multiplied by 2. This means the system has infinitely many solutions because the two equations are actually the same line. To find these solutions in terms of a parameter t, we can solve the first equation for x as follows:
Choose t to represent y (i.e., let y = t).
Substitute y = t into the first equation to get 5x - 6t = 3.
Solve for x to find x = (3 + 6t)/5.
Therefore, the solutions to the system can be expressed as (x, y) = ((3 + 6t)/5, t), where t is any real number.
Jimmy is selling used books at a yard sale. A customer buys 9 books at a cost of $0.75 each and pays with a $20.00 bill. Jimmy must determine c, the amount of change in dollars he should give the customer. Which equation represents c? 20-0.75c=9 20-0.75=9c 0.75(9)+c=20 0.75c+9=20
Answers
Answer:
Step-by-step explanation:
You need to multiply .75 and 9 you'll get 6.75 .. then you need to take 20 and subtract 6.75 and you'll get 13.25
Answer:
C is the correct choice.
A rectangular piece of stained glass has the dimensions shown in the diagram. What is the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid?
Answers
Answer:
The correct option is D) [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Consider the provided figure.
We need to find the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid.
For this first find the total area as shown:
The given figure is a rectangle.
The area of rectangle is [tex]l\times b[/tex]
Where, l = 6 cm + 3 cm = 9 cm and b = 5cm
Therefore the area of the rectangle is;
Area of rectangle = [tex]9cm\times 5cm=45cm[/tex]
Now find the area of trapezoid.
The area of trapezoid is: [tex]\frac{a+b}{2}h[/tex]
Where h is the height and a and b are the parallel sides.
Area of trapezoid = [tex]\frac{9+3}{2}\times 5=30[/tex]
Thus, the area of trapezoid is 30 cm.
Therefore, the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid is:
[tex]Probability=\frac{\text{Area of trapezoid}}{\text{Area of rectangle}}[/tex]
[tex]Probability=\frac{30}{45}=\frac{2}{3}[/tex]
Hence, the correct option is D) [tex]\frac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
I got it right
What is the length of the missing side of the triangle in simplest radical form? The figure is not drawn to scale.
Answers
Answer:
4√34
Step-by-step explanation:
the question asks for the value of the hypotenuse
Applying the Pythagorean equation
a²+b²=c² where a=12cm, b=20cm and c?
substituting values to equation
12²+20²=c²
144+400=c²
544=c²
√544=c
√16 × √34 =c
4×√34
4√34
ANSWER
[tex] 4 \sqrt{34} cm[/tex]
EXPLANATION
The missing side is the hypotenuse of the right triangle.
According to the Pythagoras Theorem, the length of the square of the hypotenuse is equal to the sum of the length of the squares of the two shorter legs.
Let the hypotenuse be x.
Then,
[tex] {x}^{2} = {20}^{2} + {12}^{2} [/tex]
[tex]{x}^{2} = 400 + 144[/tex]
[tex] {x}^{2} = 544[/tex]
Take positive square root of both sides.
[tex]x = \sqrt{544} [/tex]
[tex]x = 4 \sqrt{34} [/tex]
Let's illustrate the idea of a sampling distribution in the case of a very small sample from a very small population. The given population is the scores of ten female students in a class. Student 0 1 2 3 4 5 6 7 8 9 Weight 136 99 118 129 125 170 130 128 120 147 The parameter of interest is the mean weight in pounds ???? in this population. The sample is an SRS of size ????=4 drawn from the population. Because the students are labeled zero to nine, a single random digit from Table A chooses one student for the sample. (a) Find the mean of the ten weights in the population. This is the population mean ???? . (Enter your answer rounded to one decimal place.)
Answers
Answer:
a: sample mean: 130.2 pounds
This is not the population mean
Step-by-step explanation:
To find the mean weight of the sample, add up all the values and divide by the total number of values entered. In this case, 10, so we have...
mean: (136 + 99 + 118 + 129 + 125 + 170 + 130 + 128 + 120 + 147)/10 =
1302/10 = 130.2
This is not the population mean. It is the mean of the sample. We would have to know more information to make a conjecture about the population mean.
Final answer:
The population mean of the students' weights is determined by summing all the weights and dividing by the number of students, resulting in 130.2 pounds.
Explanation:
To find the population mean (denoted as μ), we add up all the weights of the ten students in the population and divide it by the total number of students. Let's do the calculation:
The weights of the students are 136, 99, 118, 129, 125, 170, 130, 128, 120, and 147 pounds.
The sum of these weights is 136 + 99 + 118 + 129 + 125 + 170 + 130 + 128 + 120 + 147 = 1302 pounds.
Since there are 10 students in the population, we divide the total weight by 10 to find the mean:
μ = ΣX / N = 1302 / 10 = 130.2 pounds
Therefore, the population mean (μ) is 130.2 pounds.
Write an inequality to represent "7 less than the product of a number, n, and 16 is at most 45."
Answers
SureFire Distribution Company sells phone systems to businesses. On September 1, they began with a balance of 193 digital phones. It received shipments of 23 and 45 phones on September 15 and 30 respectively. It sold 45 phones on September 8 and 100 phones on September 19. How many were on hand as of September 30?
146
145
165
116
Answers
I think 145 but I’m not quite sure
Answer:
116. add all and subtract respective to the date.
Step-by-step explanation: