Answer:
14.25 packs per hour
Step-by-step explanation:
it is 4 hours from 2:00-5:00 so... 57÷4=14.25 packs per hour
The average rate of change between 2:00 PM and 5:00 PM will be 14 packs per hour.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables. The term "rate of change" refers to the pace at which one quantity changes with respect to another.
Given that, a retailer is offering discounted toilet paper. The shop sold a total of 15 packs of toilet paper around 2:00 PM. The shop has sold 57 packets as of 5:00 PM.
The average rate of change between 2:00 PM and 5:00 PM is obtained by taking the ratio of the change to the number of packs sold to the time elapsed as,
=( 57 - 15 ) / 5 - 2
=42 / 3
= 14 packs per hour.
Thus, the average rate of change between 2:00 PM and 5:00 PM will be 14 packs per hour.
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factor 36a^2x - b^2
Answer:
36a2 - b2
Step-by-step explanation:
( 6a + b)( 6a - b)
36a2 - b2
6^2 a2 - b^2
x2 y2 = (xy)2
(6a)2 - b^2
(6a + b)(6a - b)
Hope that helps :)
The school store earned $625.32 one week, and then $98.36, $145.98, and $304.09 during the next three weeks. How much did the school store earn in the four weeks?
Answer:
The store earned $1173.75 in the 4 weeks
Step-by-step explanation:
To calculate the amount earned by the school in the 4 weeks, we are going to add all what had been earned in the previous weeks;
Mathematically that would be;
$625.32 + $98.36 + $145.98 + $304.09 = $1,173.75
Please help 100 points!!! :)
Who ever answers right first get's brainliest!!! :)
Answer:
1/7
Step-by-step explanation:
1. How are polynomials added and subtracted?
2. Write the expression 81^2-80^2 using a difference of squares pattern. What is the solution?
3. What is the common denominator of (ab)/c + (xy)/z?
Answer:
3: cz
Step-by-step explanation:
Answer:
1.) Polynomials are added or subtracted by changing the signs (when needed) and adding/subtracting like terms
2.)161
3.)cz
Step-by-step explanation:
2.) 81^2-80^2
(81+80)(81-80)
161x1
161
3.)ab/c + xy/z = abxy/cz thus, the common denominator is cz
Hope this helps, hope your call goes well :)
Explain why any number that is divisible by 9 is also divisible by 3.
Little Tricky think outside of the box: The sum of the measures of the complement and the supplement of an angle is 114. What is the measure of the angle?
A 12
B 66
C 78
D 102
Answer:
B
Step-by-step explanation:
Hhhhhhhhhccjcjckvjvjvkvkv
The table shows the number of votes for the new school mascot. What percent of the students voted for Polar Bears?
Mascot Number of Students
Polar Bears 6
Tigers 14
Vikings 19
Eagles 11
Katie solved the problem. Her work is shown below. Is her answer correct? If not, explain the error and give the correct answer.
Answer:
shes so wrong
Step-by-step explanation:
6+14=20+19=39+11=50
100/50=2
6x2=12
12%
(4w+32)(-w-5)=0 solution set
Answer:
W=5 w=8
Step-by-step explanation:
A 17 -ft ladder leans against a building so that the angle between the ground and the ladder is 75 ∘ . How high does the ladder reach on the building?
Answer:
The height of the building is 16.42 ft
Step-by-step explanation:
Given;
length of the ladder, = 17 ft
angle between the ground and the ladder, θ = 75°
Construct this triangle, the ladder forms the hypotenuse side of the right angle triangle, the height of the triangle is the opposite side of the triangle while the base of the triangle is the adjacent side of the triangle.
Apply the following trig-ratio to determine the height of the triangle;
[tex]sin \theta = \frac{opp}{hypo}\\\\ sin (75^0) = \frac{h}{17}\\\\h = 17sin (75^0) \\\\h = 16.42 \ ft[/tex]
Therefore, the height of the building is 16.42 ft
4(x-3)= -3x + 23 show your work
Answer:
x = 5
Step-by-step explanation:
Expand the brackets
4x - 12 = -3x + 23
Rearrange by collecting the like terms, so that the variables are on one side and the constants are on the other
4x + 3x = 23 + 12
7x = 35
Divide both sides by 7 to make variable on its own
x = 35/7
x = 5
Answer:
x=5
Step-by-step explanation:
4 • (x - 3) - (23 - 3x) = 0
7x - 35 = 7 • (x - 5)
7 • (x - 5) = 0
7 = 0
x-5 = 0
x = 5
Find the distance, to the nearest hundredth, between p1 (-3,-2) and p2 (9,3)
Answer:
[tex]d = 13[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDASDistance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
P1 (-3, -2)
P2 (9, 3)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(9-(-3))^2+(3-(-2))^2}[/tex]Simplify: [tex]d = \sqrt{(9+3)^2+(3+2)^2}[/tex]Add: [tex]d = \sqrt{(12)^2+(5)^2}[/tex]Evaluate: [tex]d = \sqrt{144+25}[/tex]Add: [tex]d = \sqrt{169}[/tex]Evaluate: [tex]d = 13[/tex]Determine whether each trinomial is a perfect square or not.. 1.A2+2a+1 2.4+4a+a2 3.A2-3a+9 4.4a2+24a+36 5.A4-10a+25 6.25a2+20a+9 7.A2b2-14ab+49 8.A2-2a-1 9.16a2+24a+36 10.10+6a+a2
Answer:
1) Perfect square, 2) Perfect square, 3) Not a perfect square, 4) Perfect square, 5) Perfect square, 6) Not a perfect square, 7) Perfect square, 8) Not a perfect square, 9) Not a perfect square, 10) Not a perfect square.
Step-by-step explanation:
From Algebra we must remember that a trinomial is a perfect square if and only if:
[tex](a+b)^{2} = a^{2}+2\cdot a\cdot b + b^{2}[/tex], [tex]\forall \,a,b\in\mathbb{R}[/tex] (Eq. 1)
Now we proceed to prove each trinomial:
1) [tex]a^{2}+2\cdot a +1[/tex]:
If [tex]a^2 =a^2[/tex] and [tex]b^{2} = 1[/tex], then [tex]a = \pm a[/tex] and [tex]b =\pm 1[/tex]. Therefore, [tex]2\cdot a\cdot b = 2\cdot (\pm a)\cdot (\pm 1) = \pm 2\cdot a[/tex]. In a nutshell, we conclude that this polynomial is a perfect square.
2) [tex]4+4\cdot a +a^{2}[/tex]
If [tex]a^{2} = 4[/tex] and [tex]b^{2} = a^{2}[/tex], then [tex]a = \pm 2[/tex] and [tex]b = \pm a[/tex]. Therefore, [tex]2\cdot a \cdot b = 2\cdot (\pm 2)\cdot (\pm a) = \pm 4\cdot a[/tex]. In a nutshell, we conclude that this polynomial is a perfect square.
3) [tex]a^{2}-3\cdot a +9[/tex]
If [tex]a^{2} = a^{2}[/tex] and [tex]b^{2} = 9[/tex], then [tex]a = \pm a[/tex] and [tex]b = \pm 3[/tex]. Therefore, [tex]2\cdot a \cdot b = 2\cdot (\pm a)\cdot (\pm 3) = \pm 6\cdot a[/tex]. In a nutshell, we conclude that this polynomial is not a perfect square.
4) [tex]4\cdot a^{2}+24\cdot a + 36[/tex]
If [tex]a^{2} = 4\cdot a^{2}[/tex] and [tex]b^{2} = 36[/tex], then [tex]a = \pm 2\cdot a[/tex] and [tex]b = \pm 6[/tex]. Therefore, [tex]2\cdot a \cdot b = 2\cdot (\pm 2\cdot a)\cdot (\pm 6) = 24\cdot a[/tex]. In a nutshell, we conclude that this polynomial is a perfect square.
5) [tex]a^{4}-10\cdot a +25[/tex]
If [tex]a^{2} = a^{4}[/tex] and [tex]b^{2} = 25[/tex], then [tex]a = \pm a^{2}[/tex] and [tex]b = \pm 5[/tex]. Therefore, [tex]2\cdot a \cdot b = 2\cdot (\pm a^{2})\cdot (\pm 5) = \pm 10\cdot a^{2}[/tex]. In a nutshell, we conclude that this polynomial is a perfect square.
6) [tex]25\cdot a^{2}+20\cdot a + 9[/tex]
If [tex]a^{2} = 25\cdot a^{2}[/tex] and [tex]b = 9[/tex], then [tex]a = \pm 5\cdot a[/tex] and [tex]b = \pm 3[/tex]. Therefore, [tex]2\cdot a \cdot b = 2\cdot (\pm 5\cdot a)\cdot (\pm 3) = \pm 30\cdot a[/tex]. In a nutshell, we conclude that this polynomial is not a perfect square.
7) [tex]a^{2}\cdot b^{2}-14\cdot a \cdot b + 49[/tex]
If [tex]a^{2} = a^{2}\cdot b^{2}[/tex] and [tex]b^{2} = 49[/tex], then [tex]a = \pm a\cdot b[/tex] and [tex]b = \pm 7[/tex]. Therefore, [tex]2\cdot a\cdot b = 2\cdot (\pm a\cdot b)\cdot (\pm 7) = \pm 14\cdot a \cdot b[/tex]. In a nutshell, we conclude that this polynomial is a perfect square.
8) [tex]a^{2}-2\cdot a -1[/tex]
If [tex]a^{2} = a^{2}[/tex] and [tex]b^{2} = -1[/tex], then [tex]a = \pm a[/tex] and [tex]b = \pm i[/tex]. Therefore, [tex]2\cdot a \cdot b = \pm 2\cdot a \cdot i[/tex]. In a nutshell, we conclude that this polynomial is not a perfect square.
9) [tex]16\cdot a^{2} + 24\cdot a +36[/tex]
If [tex]a^{2} = 16\cdot a^{2}[/tex] and [tex]b^{2} = \pm 36[/tex], then [tex]a = \pm 4\cdot a[/tex] and [tex]b = \pm 6[/tex]. Therefore, [tex]2\cdot a \cdot b = 2\cdot (\pm 4\cdot a)\cdot (\pm 6) = \pm 48\cdot a[/tex]. In a nutshell, we conclude that this polynomial is not a perfect square.
10) [tex]10+6\cdot a +a^{2}[/tex]
If [tex]a^{2} = 10[/tex] and [tex]b^{2} = a^{2}[/tex], then [tex]a = \pm\sqrt{10}[/tex] and [tex]b = \pm a[/tex]. Therefore, [tex]2\cdot a \cdot b = \pm 2\cdot \sqrt{10}\cdot a[/tex]. In a nutshell, we conclude that this polynomial is not a perfect square.
Combine and simplify the following radical expression. (2^3 square root 12 times 3^3 square root 2
Answer:
I think it would be 2³√12 ×3³√2
=1058.17956888
Step-by-step explanation:
I hope this helps, please give me brainliest
de un numero se sabe que si a su cuadrado le restamos su mitad, se obtiene el mismo numero, Cuál es?
Answer:
creo que es e numero 2
Step-by-step explanation:
el numero 2 al cuadrado es 4 si le restas su mitad(2) te da como resultado 2.
Find the length of the missing side. The triangle is not drawn to scale
Hey sisters its me James Charles ;)
Answer:
hey queen
Step-by-step explanation:
Answer:
hey sisters!!!!!!
Step-by-step explanation:
help ;w;
Daniel rode his bicycle from Barton to Wells along the path shown on this map.
If it took Daniel 5 hours to complete the trip, what was his average speed in miles per hour?
Mason says you can find an equivalent ratio by adding the same number to both
quantities in a ratio. For example, 2:3 is equivalent to 3:4 because 2 + 1 = 3 and
3+1 = 4. Is Mason correct? Explain your thinking.
Answer:
No Mason is not correct you would use fractions and find a common denominator such as 12 and 2/3 would be 8/12 and 3/4 would be 9/12 therefore the two ratios are not equivelent
No, the statement is not correct.
What is ratio?Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b
The example given here is not relevant.
This is because if 2:3 is added by 1/1
gives 3/4 or 3:4
but 3:4 cannot be more simplified.
So, let us make the equivalent denominator for both
2/3*4*4= 8/12
3/4*3/3=9/12
So, 2:3 ≠3:4
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Each correct answer is worth 134 points, and each incorrect answer is worth −14 points. If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?
Answer:
i. Yes, Nevan won.
ii. Nevan scored 7464 points.
Step-by-step explanation:
Given: each correct answer = 134 points
each incorrect answer = -14 points
Since he got 58 questions correctly, then;
His number of points = 134 x 58
= 7772 points
Also, he got 22 incorrect questions, then;
His number of points = -14 x 22
= -308
Nevan's total points = 7772 + (-308)
= 7772 - 308
= 7464
Nevan scored 7464 points.
Nevan won, and also had a total of 7464 points.
Answer:
yes nevan won
Step-by-step explanation:
Pls help I’m doing a test
Subtract.
(22 + 43x + 10) - (-102² – 5x+10)
Answers
A. -92? + 38x + 20
B. 11x2 + 38%
C. 11x2 + 483
D. -922 + 487
IF YOU HAVE ANSWER PLEASE ANSWER
The math teacher said, "Please ___ each expression on the board. Show your work so that I can see how you found the value."
its ether evaluate, operation or commutative
Please help I have been on this for hours :)
Find z
(Find the measure of the exterior angle of the polygon)
Answer:
106
Step-by-step explanation:
If you find the sum of the interior angles, you can determine the supplement to z.
Then all you have to do to get z is to subtract it from 180.
Method
The supplement of 72 is 180 - 72 = 108
The supplement of 51 is 180 - 51 = 129
The supplement of 60 is 180 - 60 = 120
The supplement of 71 is 180 - 71 = 109
Let y = the supplement of z
y + 108 + 129 + 120 + 109 = 540
y + 466 = 540
y = 540 - 466
y = 74
z + y = 180
z + 74 = 180
z = 180 - 74
z = 106
I hope that get's rid of your headache.
Is (8, 1) a solution to this system of inequalities?
x = 2
YX+1
yes
no
Answer:
NO
Step-by-step explanation:
Substituting 2 in X do not bring (8,1)
Answer:
Hi
Step-by-step explanation:
13) 16 = -4 + x,x = what's the answer.
Answer:
x=20. You can use the app Photomath to help you with math equations.
Step-by-step explanation:
1. Ms. Thomas took her family and friends to the movies. There were a total of 16 people. Children's tickets cost $6 and adult tickets cost $9. She spent a total of $129. How many adults went to the movies?
2. Last season two running backs on the college football team rushed for a combined 1550 yards. One rushed 4 times as many yards as the other. How many yards did the player with the most yards rush?
A)
9*13+6*2=129
117+12=129
13 adults went to the movies
B)
1550/5=310
runner A ran four times as much as runner b
given the above, runner A ran 4*310 and B ran 310, since 1550/5=310
4*310=1240
The player with the most yards (runner A) ran 1240 yards
Tim Soccerteam played 20 games and won 9 of them. What percent of games did the team win!!!!!! Plz help
Answer:
45%
Step-by-step explanation:
Divide 9 by 20 and then multiple by 100 because a percent is out of 100
The measures of two vertical angles are 33° and (2x + 3)°. Find the value of x.
Answer:
x = 6
Step-by-step explanation:
If we replace x with 6, we will get 33 degrees. 33 = 33. They are equivalent.
(2*6+3)= 33.
So, x = 6 for both angles to be the same.
I hope this helps you!
Find the missing angle measure in each triangle.The first one is done for you.
Answer:
p=41
x=85
f=36
Step-by-step explanation:
All triangles equal 180 degrees, if you have two of the angles in a triangle then all you need to do is add them up, and find the difference between the sum and 180
For example:
Triangle 2 has one angle that's 54 degrees and the other is 85 degrees
54+85=139
180-139=41
therefore angle p equals 41 degrees.
Find m< s
Please please help
Answer:
m< s = 43
Step-by-step explanation:
77 + 2x + 3 = 6x (collect like terms)
80 + 2x = 6x (subtract 2x on both sides)
80 = 4x (divide both sides by 4)
20 = x
PLUG IN TO M<S
2(20) + 3
40 + 3
m<s = 43
Hope this helps ya! Keep smiling!
(-2,4),(3,-6) point slope form
Answer:
y-4= -2 x (x+2)
Step-by-step explanation:
y- y1 = m(x-x1)