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A multiple is a number that can be divided by that number with no remainder. For example, multiples of 5 are 5, 10, 15, and 20.
A multiple of 12 is basically 12 × (number of multiple), for example, if you want the second multiple of 12, you would multiply 2 by 12.
So multiply 12 by 1, 2, 3, 4, and 5.
12×1=12
12×2=24
12×3=36
12×4=48
12×5=60
The first five multiples of 12 are 12, 24, 36, 48, and 60.
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Answer:
12,24,36,48, and 60
Savvas Texas Algebra II
Topic 1 Performance Task
Topic 1 Performance Task
Filling Balloons
You are planning a surprise birthday party, and you would like to decorate with some
helium-filled balloons. You plan to use two different sizes of balloons. You will need to
purchase balloons and helium based on your party plans. The volume and cost of balloons
and helium tanks are listed below:
• The volume of each small balloon is 300 in."
3
• The volume of each large balloon is 1000 in.'.
• One package of 50 small balloons costs $2.59.
• One package of 24 large balloons costs $1.99.
• One small tank of pressurized helium can fill 20 ft of balloons. It costs $10.49.
You would like to fill at least 30 of each size of balloon for your party, but you would like to
use all of the helium you purchase. In addition, you would like to spend the least money
possible for balloons.
Task Description
Use functions to determine the number of balloons you need and how much your
supplies will cost.
Answer:
The number of small balloons = 46
The number of large balloons = 159
The number of bottles of helium gas = 5
The total cost of the supplies = $68.97
Step-by-step explanation:
The volume of each small balloon = 300 in.³
The volume of each large balloon = 1000 in.³
The cost of one package of 50 small balloons = $2.59
The cost of one package of 24 large balloons = $1.99
The volume of one small tank of pressurized helium = 20 ft³
The volume cost of one small tank of pressurized helium = $10.49
By conversion
20 ft³ = 34,560 in.³
The volume of 30 small balloons = 30 × 300 in.³ = 9,000 in.³
The volume of 30 large balloons = 30 × 1000 in.³ = 30,000 in.³
The volume taken by 24 large balloons = 24,000 in.³,
24 large balloons cost = $1.99
The volume taken by 50 small balloons = 15,000 in.³
50 small balloons cost = $2.59
Therefore, we buy more large balloons
We have;
A×300 + B×1000 = C×34,560
Given that all the helium will be used, the volume of helium will be a multiple of 300, therefore, when 5 bottles of helium is used, we have;
A×300 + B×1000 = 5×34,560 = 172,800 in.³
Given that there will be at least 30 of each balloon, gives;
We remove the minimum possible quantity (more than 30) of small balloons from 172,800 in.³ leaving multiples of 1,000s as follows;
Using Excel, the quantities of 36 and 46 small balloons give the same cost
For 46 small balloons
The volume of 46 small balloons = 13,800 in.³
Therefore, 172,800 in.³ - 13,800 in.³ = 159,000 in.³ = The volume of the large balloons
The quantity of the large balloons = 159,000 in.³/(1,000 in.³/balloon) = 159 balloons
Therefore, we have 46 small balloons, and 159 large balloons, with 5 small bottles of helium gas
The number of package of large balloons is 159/24 = 6.625 ≈ 7 packages
The cost of the 7 packages of large balloons = 7 × $1.99 = $13.93
The number of package of small balloons is 46/50= 0.92 ≈ 1 package
The cost of the 1 packages of small balloons = 1 × $2.59 = $2.59
The cost of the five bottles of helium = 5 × $10.49 = $52.45
$68.97
The number of small balloons = 46
The number of large balloons = 159
The number of bottles of helium gas = 5
The total cost of the supplies = $68.97
At the same cost, we can also have;
The number of small balloons = 36
The number of large balloons = 162
The number of bottles of helium gas = 5
The total cost of the supplies = $68.97
Therefore, we can have 36 or 46 small balloons and 162 or 159 large balloons along with 5 bottles of helium gas with a total cost of $13.93 + $2.59 + $52.45 = $68.97.
Explain why angle is considered a defined term in geometry.
Answer:
An angle is considered a defined term in geometry because defined terms are terms that have a formal definition and can be defined using other geometrical terms.
Angle: Two rays that share the same endpoint, however, the rays take off in different directions. The area in the middle of the two rays is the angle measure.
complete the division problem by determining the number that should be placed in the Box! (answer asap plz)
Answer:
598-x=78
x=598-78
=520
do yall have online school or can you go to school
Answer:
i am doing online school
Step-by-step explanation:
Answer:
I've got online school full time for at least my first quarter but I think we'll be in online for more than half the year.
Write down the value of 2b - 4a PLEASE HELP
Answer:
[tex]2b - 4a \\ = (b - 2a)[/tex]
Hope you understand
Answer:
[tex]\Large \boxed{2(-2a+b)}[/tex]
Step-by-step explanation:
[tex]2b - 4a[/tex]
Rearranging the expression.
[tex]-4a+2b[/tex]
Factoring out 2 from the expression.
[tex]2(-2a)+2(b)[/tex]
[tex]2(-2a+b)[/tex]
solve by factoring y²-4=3y
Answer:
(y + 1) • (y - 4)
Step-by-step explanation:
Trying to factor by splitting the middle term
1.1 Factoring y2-3y-4
The first term is, y2 its coefficient is 1 .
The middle term is, -3y its coefficient is -3 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
y2 - 4y + 1y - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y-4)
Add up the last 2 terms, pulling out common factors :
1 • (y-4)
Step-5 : Add up the four terms of step 4 :
(y+1) • (y-4)
Which is the desired factorization
Final result :
(y + 1) • (y - 4)
Answer:
y =-1y=4Step-by-step explanation:
[tex]y^2-4=3y\\\mathrm{Subtract\:}3y\mathrm{\:from\:both\:sides}\\y^2-4-3y=3y-3y\\\\\mathrm{Simplify}\\y^2-3y-4=0\\\\\mathrm{Solve\:by\:factoring}\\\mathrm{Factor\:}y^2-3y-4:\quad \left(y+1\right)\left(y-4\right)\\\\\mathrm{Solve\:}\:y+1=0:\quad y=-1\\\mathrm{Solve\:}\:y-4=0:\quad y=4\\\\y=-1,\:y=4[/tex]
-29=5u+6-12u solve for you
Answer:
u=5
Step-by-step explanation:
5u+6-12u=-29
5u-12u+6=-29
-7u+6=-29
-7u=-29-6
-7u=-35
-7u/-7=-35/-7
u=-35/-7
u=5
Answer:
Step-by-step explanation:
5u - 12u + 6 = -29
-7u + 6 = -29
-7u = -35
u = 5
Solve for m: 18d − 2m + 9k < 5k + 10
[tex]18d-2m+9k[/tex] < [tex]5k+10[/tex]
[tex]18d-2m[/tex] < [tex]-4k +10[/tex]
[tex]-2m[/tex] < [tex]-4k +10 -18d[/tex]
[tex]m[/tex] > [tex]\frac{-4k+10-18d}{-2}[/tex] (flipped the sign because we're dividing by a negative)
[tex]m[/tex] > [tex]2k+5+9d[/tex]
Answer:
m > 2k + 9d- 5
The graph of quadratic function f(x) = px²-5x+q, where p and q are constants, has a maximum point. The possible value of p is
(A) -1
(B) 0
(C) 1
(D) 2
You are traveling to Japan and need Japanese Yen (¥ JPY). How much JPY could you get for $200 USD if the rate is USD/JPY 0.9333?
A.
¥199.07 JPY
B.
¥214.29 JPY
C.
¥186.66 JPY
D.
¥293.33 JPY
Answer:
The answer is C.
Step-by-step explanation:
0.9333* ¥ 200
= ¥ 186.66
Answer:
B 214.29
Step-by-step explanation:
usd/jpy=.9333
usd=jpy*.9333
200= jpy* .9333
jpy= 214.29
How do i do this. Im mad lost
Answer:
x-int: (8/3, 0)
y-int: (0, -32/3)
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
x-intercept is the x-value when y = 0
y-intercept is the y-value when x = 0
Step 1: Write equation
2x - 1/3 = 1/2y + 5
Step 2: Subtract 5 on both sides
2x - 16/3 = 1/2y
Step 3: Multiply 2 on both sides
4x - 32/3 = y
Step 4: Rewrite
y = 4x - 32/3
Step 5: Find x-int
0 = 4x - 32/3
32/3 = 4x
x = 8/3
(8/3, 0)
Step 6: Find y-int
y = 4(0) - 32/3
y = 0 - 32/3
y = -32/3
(0, -32/3)
Solve x+2=1/2x-1 Please hurry!
Answer:
X = - 6Step-by-step explanation:
x + 2 = 1/2x - 1[tex]2 + 1 = \frac{1}{2}x - x[/tex]
[tex]3 = - \frac{1}{2}x[/tex]
[tex]x = \frac{ - 3}{ \frac{1}{2} } \\ x = \frac{ - 6}{1} \\ x = - 6[/tex]
Hope this helps :)
18 divided by (1+5)(4-2)
Answer:
= 3/2
[tex] = \frac{18}{(1 + 5)(4 - 2)} [/tex]
[tex] = \frac{18}{(6)(2)} [/tex]
[tex] = \frac{18}{12} [/tex]
Simplify the fraction.
[tex] = \frac{3}{2} [/tex]
Answer:
1/2 or 0.5
Step-by-step explanation:
PEMDAS (parentheses, exponents,multiplication, division, addition, subtraction)
Parentheses: 1+5=6, 4-2=2
Multiply: 6•2=12
Division: 18 divided by 12= 3/2 or 1.5
What are the vertes, the axis of symmetry, the maximum or minimum value,
the domain, and the range of each function?
5. f(x)=2(x-4)^2+3
Answer:
vertex: (4,3)
axis of symmetry: x=4
Domain (interval notation) : ( − ∞ , ∞ )
Domain (set-builder notation): { x | x ∈ R }
Range (interval notation): Range: [ 3 , ∞ )
Range (set-builder notation): { y | y ≥3 }
Maximum/minimum value: (4,3)
Step-by-step explanation:
Please help me out with these questions.
Answer:
here's the answers to your questions
In a recent year, the top-selling cookie in America was Nabiscos Chips Ahoy, with sales of $294.6
million. The total cookie sales for that year were $3,124 milion. What percent of the total cookie sales
was due to Chips Ahoy?
Answer:
9.43%
Step-by-step explanation:
Divide the Chips Ahoy sales by the total sales, then multiply by 100
(294.6/3,124) x 100
= 9.43%
So, 9.43% of the total cookie sales were from Chips Ahoy
From the set 12345 which values make the inequality n+1>4true?
May I get some help?
Answer:
4 and the correct answer is 34
Step-by-step explanation:
choice c or 4; correct solution is 34 :)
hope this helps :)
If A=kr² and V=kr³, find the percentage increase in A and V if r is increased by 20%
Answer:
The percentage increase in A is 44%. The percentage increase in V is 72.8%.
Step-by-step explanation:
The easiest way to go about solving this problem is to pick your own numbers and plug them into the given equations.
For example, let's say that k = 5 and that r = 10.
[tex]A=kr^{2}[/tex] ⇒ [tex]A= 5 * 10^{2} =500[/tex]
[tex]V=kr^{3}[/tex] ⇒ [tex]V= 5 * 10^{3}= 5000[/tex]
The question is asking, what is the percentage increase if r is increased by 20%. Our chosen k-value will stay the same but our r-value is going to increase. To find the new value of r, we multiply 10, our current value of r, by 1.2. This gives us a new value for r, which is 12.
[tex]10*1.2=12[/tex]
Now, we are going to plug in our new r-value and our k-value into the given equations. k = 5; new r = 12
[tex]A=kr^{2}[/tex] ⇒ [tex]A=5*12^{2}=720[/tex]
[tex]V=kr^{3}[/tex] ⇒ [tex]V=5*12^{3}=8640[/tex]
Next, we have to calculate the percentage increase in our values of A and V. To do this, we use the following formula:
[tex]Percentage Increase = \frac{final - initial}{initial} * 100[/tex]
Percentage Increase for A
Initial value: 500
Final Value: 720
[tex]Percentage Increase = \frac{720-500}{500} * 100 = 44%[/tex]
Percentage Increase for V
Initial value: 5000
Final Value: 8640
[tex]Percentage Increase= \frac{8640-5000}{5000} *100 = 72.8%[/tex]
The percentage increase for A is 44% and the percentage increase for V is 72.8%.
Hope this helps!
Cuál es la distancia de 2 -6
Answer:
la respuesta seria 8
Step-by-step explanation:
Espero que esto ayude!
Frank has completed 34 deliveries so far this week. He needs to make 85 deliveries for the week. What percentage of his deliveries has Frank completed?
Answer: 40 percentage of his deliveries has Frank completed
Step-by-step explanation:
Given : Deliveries completed by Frank = 34
Total deliveries = 85
Percentage of deliveries has Frank completed = [tex]\frac{\text {Deliveries completed by Frank}}{\text {Total deliveries}}\times 100[/tex]
Putting in the values:
Percentage of deliveries has Frank completed = [tex]\frac{34}{85}\times 100=40\%[/tex]
Thus 40 percentage of his deliveries has Frank completed
Simplify the expression where possible.(-4 x^2 )^2
Answer:
[tex]16x^{4}[/tex]
Step-by-step explanation:
[tex](a^{m})^{n}=a^{m*n} \\\\\\[/tex] and [tex](a*b)^{m}= a^{m}*b^{m}[/tex]
[tex](-4x^{2})^{2} = (-4)^{2} *(x^{2})^{2}\\\\\\=16 * x^{2*2}\\\\=16x^{4}[/tex]
a. 5x10 to the third power
Answer:
5000
Step-by-step explanation:
the answer is 5000 because the third power to ten is 1000 and since 5x10= 50 you just have to make it a thousand so, 5000
Answer:5000
Step-by-step explanation: take notes
Express an integer: a debt of $50
What’sThe answer
Answer:
-50
Step-by-step explanation:
A debt is something you owe so it is a negative number
-50
Answer:
-50
Step-by-step explanation:
What is the area of the enlarged rectangle?
O 48 square units
O 168 square units
O 336 square units
O 588 square units
Answer: B
Step-by-step explanation:
It’s 168 because to solve problems for the area of a reduced or enlarged figure, first square the scale factor. Then use the given dimensions to find the area of the original figure. Multiply the square of the scale factor by the area of the original to get the reduced or enlarged figure.
Answer:
D 558
Step-by-step explanation:
Help me out with this one please
Answer:
5) x = -1
6) x = 2
Step-by-step explanation:
5) 5 + 2x + 6 = x + 10
2x + 11 = x + 10
2x + 1 = x
1 = -x
-1 = x
6) (9x + 7) + (-3x + 20) = 39
6x + 27 = 39
6x = 12
x = 2
Answer:
For question 5, x= -1
Step-by-step explanation:
Segment Addition Postulate = ab+bc=ac
For Question 5,
(a) + (b) = (c)
5+2x + 6 = x+10
5+2x+6=x+10
To solve that,
5+2x+6=x+10
Add 5+6
11+2x=x+10
Subtract 11 from both sides
2x= x-1
x-1=2x
Diego says a quadrilateral with four congruent sides is always a regular polygon. Mai says it never is one. Do you agree with either of them?
Help please!!!
Answer:
mai is correct
Step-by-step explanation:
a quadrilateral with four congruent sides is never a regular polygon it is a rhombus. hope this helps!
A regular polygon has four congruent sides and four congruent angles.
I do not agree with any of them, because both arguments are incorrect
For a polygon to be a regular polygon, the following conditions must be met
All four sides must be congruentAll four angles must be congruent (90 degrees)Some quadrilaterals with four congruent sides are:
Rhombus, Kite, Square, etc.
A rhombus has four congruent sides, but all four angles are not congruent.
This means that Diego's argument is incorrect
All sides and angles of a square are congruent.
Because Mai says such polygons can never be a regular polygon, then Mai's argument is also wrong.
Hence, I do not agree with any of them.
Read more about polygons at:
https://brainly.com/question/15941789
The school band sold 200 tickets to their concert. If 90 adult tickets were sold , What percent of the tickets sold were adult tickets?
Answer:
45%
Step-by-step explanation:
Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 3x + 9 and TQ = 5x -5
PT=(Simplify your answer.)
Answer:
PT=30 units
Step-by-step explanation:
Given that:
Line PQ which has a mid point at T.
[tex]PT = 3x + 9[/tex] and
[tex]TQ = 5x -5[/tex]
To find:
PT = ? in simplified terms.
Solution:
First of all, let us recall that mid point on a line segment is a point that divides the line in two equal parts.
In other words:
If a point B is the mid point of line segment AC, then AB = BC.
Here, the point T is the midpoint of PQ.
i.e. PT = TQ
[tex]3x+9=5x-5\\\Rightarrow 3x-5x=-5-9\\\Rightarrow -2x=-14\\\Rightarrow x=7[/tex]
Putting value of [tex]x[/tex] in PT above:
[tex]PT = 3x+9 = 3 \times 7 +9 \\\Rightarrow \bold{PT=30\ units}[/tex]
Answer:
32
Step-by-step explanation:
did it, and i was wrong. it gave the right answer that is it. credit to me.
plz somebody help me
Answer:
Option 3
Step-by-step explanation:
It is the only one that increases by 8 just like the pattern
Answer: C. 40,48,56
Step-by-step explanation:
As seen in the sequence, 16, 24, 32
24-16=8
32-24=8
This means that between each term, you just add 8 to get the next term
--------------
32+8=40
40+8=48
48+8=56
Hope this helps!! :)
Please let me know if you have any question
multiplicative inverse of 21/49
Answer:
49/21
Step-by-step explanation:
You just have to switch the numerator and denominator so you can cancel out the number from one side of the equation in a normal problem