Answer: 12 packages with 5 notebooks and 6 pencils in each package.
Step-by-step explanation:
The greatest common factor of 60 and 72 is 12. Thus divide both numbers(60 and 72) by 12 to get 5 and 6. Thus, Miss Smith made 12 packages with 5 notebooks and 6 pencils in each package.
Answer:
12 packages with 5 notebooks and 6 pencils in each package.
Step-by-step explanation:
What is the value of x?
Answer:
x = 19.
Step-by-step explanation:
By the tangent - secant theorem:
BD^2 = AB * EB
so:
8^2 = (x - 7 + 4) * 4
4(x - 3) = 64
4x - 12 = 64
4x = 64 + 12 = 76
x = 76/4
= 19.
What is the area of the rhombus shown below? AC=17 BD=15 AB=11.2 Answers: A. 255 square units B. 190.4 square units C. 16 square units D. 127.5 square units
Answer:
D. 127.5 square units
Step-by-step explanation:
AC=17
BD=15
AB=11.5
Diagonal (1&2) are given, base of the rhombus is also given.
Height is not given
Area of a rhombus given the diagonals
=1/2×d1×d2
Where,
d1=AC=17
d2=BD=15
Area of a rhombus=1/2×d1×d2
=1/2×17*15
=1/2×255
=127.5
D. 127.5 square units
Answer:
D for sure
Step-by-step explanation:
Find m∠C. A. 16 B. 20 C. 18 D. 17
Answer:
Step-by-step explanation:
You have to use the Law of Cosines here to solve for C. For us the equation will take on the form
[tex]c^2=a^2+b^2-2abcosC[/tex] for which we have all the values except C. Filling in:
[tex]12^2=28^2+18^2-2(28)(18)cosC[/tex] which will simplify to
144 = 784 + 324 - 1008cosC. Simplify a bit more to
144 = 1108 - 1008cosC. Subtract 1108 from both sides to get
-964 = -1008cosC. Divide both sides by -1008 to get
.9563492063 = cosC
Press the 2nd button and then the cos button on your calculator. You should see this on your screen:
[tex]cos^{-1}([/tex]
After that open parenthesis, enter that long decimal and hit "enter". You should get that your angle is 16.99 which I imagine you would round to 17, which is choice D. If you did not get 16.99 but you got .29655, you are in radian mode and you need to be in degree mode. Hit "mode" and change it with your arrow key and hit "enter" and it's changed!
The price of the latest John Madden PS2 gam just increased to $55 last year’s version cost $50 what is the percent increase in price? Please help
Find the area of this parallelogram
Answer:
Area = 147.03 cm²
Step-by-step explanation:
Area of parallelogram = [tex]Base*Heigth[/tex]
Where base = 16.9 cm, Height = 8.7 cm
Area = 16.9*8.7
Area = 147.03 cm²
Answer:
147.03 square cm
Step-by-step explanation:
[tex]area \: of \: parallelogram \\ = base \times height \\ = 16.9 \times 8.7 \\ = 147.03 \: {cm}^{2} \\ [/tex]
find the length here
Answer:
The correct answer is
D) 66.35
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
So in shorthand notation:
sin = o/h cos = a/h tan = o/a
Often remembered by: soh cah toa
Answer:
C
Step-by-step explanation:
BC is the opposite of angle 54, adi is AC=39
tan54=opp/adj.
BC=AC(tan54)
BC=39(1.376)=53.6789 close to 53.68
Find the area of a trapezoid with bases of 5 feet and a 7 feet, and a height of 3 feet a. 18 b. 36 c. 72 d. 40
Answer:
The answer is option A. 18Step-by-step explanation:
Area of a trapezoid = 1/2(a + b) × h
where
h is the height
a and b are the other sides
From the question
h = 3 feet
a = 5 feet
b = 7 feet
Area = 1/2(5+7) × 3
= 1/2 ( 12) × 3
= 6 × 3
The answer is
= 18
Hope this helps you.
Dependent variable C depends on both independent variable A and independent variable B. Which statement is correct?
A: the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed using the same scatterplot.
B: the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd.
C: Only the relationship between independent variable A and dependent variable C can be analyzed a scatterplotd.
D: Only the relationship between independent variable B
and dependent variable C can be analyzed a scatterplotd.
Answer:
B
the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd
Answer:
its B
Step-by-step explanation:
Please explain how you got your answer also. A class has 21 girls and 12 boys. What is the probability that a boy's name is drawn at random?
12 over 21
21 over 12
12 over 33
21 over 33
Please help meeeee thanks
Answer:
A)21
B) 70
C)89
Step-by-step explanation:
Answer:
b=70°a=21°c= 89°Step-by-step explanation:
b=180° - 110° =70°
a = 21°
C= 180° - b - a= 180 - 70 - 21= 89°
[tex]good \: luck[/tex]
Urgent ‼️50 POINTS NO BS OR I WILL REPORT YOU Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding 1/3 the length of the directed line segment?
Answer:
3rd option
Step-by-step explanation:
The ratio of 1:3 mean that one part is 1 to the other part being 3.
That means the total is 1 + 3 = 4.
1 part to 3 parts is the same as 1 part to a whole of 4 and 3 parts to a whole of 4.
Answer: 3rd option
Answer:
The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.
Step-by-step explanation:
I like to call the numbers in the ratio 1 : 3 "ratio units".
That is, the short length is 1 ratio unit long, and the longer length is 3 ratio units long. The total (whole) length is 1+3 = 4 ratio units long. Then the short length (1 ratio unit) is 1/4 of the whole length (4 ratio units).
_____
Coment on the answer wording
I think you need to be careful with terminology. The word "part" has a different meaning in the first answer sentence "... part to part" than it does in the second answer sentence "... parts in the whole ...".
In the first sentence, it refers to "a piece of the line, no matter its length." In the second sentence, it refers to "that length of the line represented by 1 in the ratio."
find the value of a and b for which the system of equations has infinitely many solutions : 2x + 3y = 7 ; (a-b)x + (a+b)y = 3a + b - 2
Answer:
a= 5 and b=1
Step-by-step explanation:
To solve, we will follow the steps below:
2x + 3y = 7
(a-b)x + (a+b)y = 3a + b - 2
We should note that since it has infinitely many solutions then,
[tex]\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }[/tex]
Hence
2/a-b = 3/a+b = 7/3a +b-2
2/a-b = 3/a+b
cross-multiply
3(a-b) = 2( a+b)
open the bracket
3a - 3b = 2a + 2b
collect like term
3a - 2a = 2b + 3b
a = 5b -------------------------------------------(1)
Similarly
3/a+b = 7/3a +b-2
cross-multiply
7(a+b) = 3(3a+b -2)
7a + 7b = 9a + 3b -6
take all the variables to the left-hand side of the equation
7a - 9a+ 7b-3b = -6
-2a + 4b = -6 ---------------------------------(2)
but a = 5b
substitute a= 5b in equation (2) and solve for b
-2(5) + 4b = -6
-10 + 4b = -6
add 10 to both-side of the equation
-10 + 10+ 4b = -6+10
4b = 4
divide both-side of the equation by 4
b = 1
substitute b= 1 in equation (1)
a = 5b
a =5(1)
a=5
Therefore, a= 5 and b=1
use the elimination method to solve the system of equations. choose the correct ordered pair x+y=3 y=8
Answer:
(-5, 8)
Step-by-step explanation:
Step 1: Multiply 2nd equation by -1
x + y = 3
-y = -8
Step 2: Elimination
x = -5
Step 3: Find y
y = 8
Identify the transformation on the figure shown.
A) rotation about the x-axis
B) rotation about the y-axis
C) reflection over the x-axis
D) reflection over the y-axis
Thank you
Answer:
It is a reflection over the y-axis (D)
Step-by-step explanation:
Each corresponding point is equidistant from the y-axis and follows the rule (x,y) turns to (-x,y). For example the point (1,1) is mapped to (-1,1) and both points are 1 unit away from the y-axis so we know that one is the reflection of the other.
Answer:
reflection over y axis
Step-by-step explanation:
did it on usatestprep and made a 100
i need mega help quick plz
Answer:
option AAngle B is the answer
The following table shows the possible meal combinations when choosing an entrée and a side dish at Marty's Diner. Side Dish Entrée burger with salad burger with fries burger with fruit tacos with salad tacos with fries tacos with fruit pizza with salad pizza with fries pizza with fruit What is the probability of selecting a combination that includes a burger or a salad? Enter your answer as a reduced fraction, like this: 3/14
Answer:
5/9
Step-by-step explanation:
There are 9 total combinations and 3 of them include a burger, 2 of them that have salad but not a burger. If you add them together it equals 5/9
The probability of selecting a combination that includes a burger or a salad is 5/9
Since the total of 6 outcomes include fries or fruit as the side dish.
There is a total of 9 possible meal combinations. A person must choose an Entree and a side dish.
The Entrees consist of burgers, tacos, and pizzas.
The side dishes consist of salad, fries, and fruit.
To find the number of combinations consisting of fries or fruit, we calculate the individual combinations.
With fries as side dish, which can choose a burger, a pizza or a taco as your Entree.
There are 3 combinations each, there are a total of 6 combinations with fruit or fries as the side dish.
There are 9 total combinations and 3 include a burger, rest 2 that have salad but not a burger.
then probability = 5/9
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ2
If x = 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?
Answer:
The discriminant equals to 0
Step-by-step explanation:
We have to remember our discriminant rules;
d > 0, we have 2 real roots
d = 0, we have 1 real root
d < 0, we have 2 complex roots
Which number(s) below belong to the solution set of the inequality Check all that apply. x + 30 < 60 a.50 b.45 c.300 d.1 e.29 f.30
Answer:
e.29 d.1
Step-by-step explanation:
x+30<60 :we will replace with the values we have :
300 that's a big number . Obviously it isn't a solution 50 : 30+50 = 80>60 so no 45: 30+45= 75 >60 so no 30+30 = 60 we have < not ≤ so no 1 yes . it's obvious 29 +30 = 59<60 so yes !Graph this following function
Answer:
Please find attached the graph of the following function;
[tex]\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.[/tex]
Step-by-step explanation:
We note that the function is linear from x = 2 to just before x = 0
The linear relationship of the function f(x) with x changes just before x = 0
At x = 0, the value of f(x) is indicated as 1
From just after x = 0, the function is a straight horizontal line y = 3
The function also changes value immediately after x = 0 to the line y = 3
The areas where the function is defined are shown in continuous lines
solve the equation -10x+1+7x=37
Answer:
x = -12
Step-by-step explanation:
-10x+1+7x=37
Combine like terms
-3x+1 = 37
Subtract 1 from each side
-3x+1-1 = 37-1
-3x = 36
Divide by -3
-3x/-3 = 36/-3
x = -12
The sum of 54 anid six times a number is 216. Find the number.
Answer:
x = 27
Step-by-step explanation:
Step 1: Write out equation
54 + 6x = 216
Step 2: Solve for x
6x = 162
x = 27
Answer:
x=27
Step-by-step explanation:
54+6x=216
Collect like terms:
6x=216-54
6x=162
Divide both sides by the coefficient of x
6x\6=162\6
x=27
graph the parobola. y=4x^2-7
Answer:
Step-by-step explanation:
y=4x^2-7
vertex(0,-7)
A hiker leaves camp and walks 6 miles east. Then he walks 18 miles south. How far from camp is the hiker? Distance in miles: Using quadratic applications
Answer: 19 miles
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between the hiker and the camp) and a and b are the other sides.
Replacing with the values given:
x^2 = 6^2 + 18^2
x^2 = 36+324
x^2 = 360
x = √360
x = 18.97miles = 19 miles
Feel free to ask for more if needed or if you did not understand something.
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify Q + S - T.
-8m - 7n - 3
8m + 7n - 3
-8m + 7n - 3
8m - 7n - 3
Answer:
The second: 8m + 7n - 3Step-by-step explanation:
Q = 7m + 3n,
R = 11 - 2m,
S = n + 5,
T = -m - 3n + 8.
Q + S - T = 7m + 3n + (n + 5) - (-m - 3n + 8)
Q + S - T = 7m + 3n + n + 5 + m + 3n - 8
Q + S - T = 8m + 7n - 3
School administrators asked a group of students and teachers which of two
school logo ideas, logo A or logo B, they prefer. This table shows the results.
Logo A
Logo B
Total
Students
67
33
100
Teachers
11
14
25
Total
78
47
125
Are being a student and preferring logo A independent events? Why or why
not?
O A. No, they are not independent, because Astudent) = 0.8 and
A student|logo A) = 0 62.
B. No, they are not independent because P(student) = 0.8 and
A student logo A) 0.86.
C. Yes, they are independent because P(student) = 0.8 and
A student logo A) 0.86
D. Yes, they are independent, because student) = 0.8 and
A student logo A) = 0.62
Answer:
The events are not independent
[tex]P(S) = 0.8[/tex]
[tex]P(Logo\ A) = 0.62[/tex]
Step-by-step explanation:
Given
--------------Logo A --- Logo B ---Total
Students ----- 67----------33--------100
Teachers ----- 11 ----- ----- 14 ----- 25
Total ----- ------78-----------47--------125
Required
Determine if being a student and preferring logo A are independent events
Let P(S) represent probability of being a student
Let P(Logo A) represent probability of preferring logo A
Let P(S n Logo A) represent probability of being a student and preferring logo A
To determine if they are independent, we have to calculate
P(S), P(Logo A) and P(S n Logo A)
P(S) = Total Students / Total Population
[tex]P(S) = 100/125 = 0.8[/tex]
P(Logo A) = Total that prefers Logo A / Total Population
[tex]P(Logo\ A) = 78/125 =0.624[/tex]
P(S n Logo A) = Number of students that prefer logo A / Total Population
[tex]P(S\ n\ Logo\ A) = 67/125 = 0.536[/tex]
If the events are independent, then the following condition must be satisfied
[tex]P(S\ n\ Logo\ A) = P(S) * P(Logo\ A)[/tex]
Substitute the values of P(S), P(Logo A) and P(S n Logo A)
[tex]0.536 = 0.8 * 0.536[/tex]
[tex]0.536 \neq 0.4288[/tex]
Since they are not equal, then the events are not independent
[tex]P(S) = 0.8[/tex]
[tex]P(Logo\ A) = 0.62[/tex]
Answer: b
Step-by-step explanation: just took the quiz
If an image of a triangle is congruent to the pre image what is the scale factor of the dilation
Answer:
1
Step-by-step explanation:
Because the pre image and dilated image are congruent, the scale factor is 1.
please i know the awnser is 60 but i cant explain it
Answer:
a) 60 degrees
Step-by-step explanation:
b) The triangle shown is an equilateral triangle as all the sides are the same. This means that all the angles are the same as well.
Angles in a triangle add up to 180 degrees. There are 3 angles. Each angle is 60 degrees.
Angle x is an exterior corresponding angle and hence, that is why x = 60 degrees.
hope this helps : )Answer:
All of the measures of the interior angles of an equilateral triangle are 60°. Because x and 60° are alternate interior angles of parallel lines, this means that they are equal, therefore x = 60°.
Twelve less than the product of three and a number is less than 21
Answer:
11
Step-by-step explanation:
3 times 11 gives you 33 which would be the product
3 x 11 = 33
subtract the 12(twelve) from the 33(product)
33 - 12 = 21
WILL MARK BRAINLIEST
help answer 4-5 please x
Answer:
Step-by-step explanation:
4. A) [tex]\frac{13}{100}[/tex]×79.50 = 10.335
tax=10.335
total cost=79.50+10.335=89.835
B) [tex]\frac{13}{100}[/tex]×189.99=24.6987 = tax
189.99+24.6987=214.6887
5) [tex]\frac{20}{100}[/tex]×544.99=108.998
yes Brittany will have enough money
21 POINTS!!!!!!!!!!!!!!!!! HEEEELPPPPPPP