Answer:
I think that it is the first one and the third one.....
I hope that it is correct, I tried helping you get it correct
This, is as far as I go. Goodluck with the rest man. Let me know if you need more assistance. :)
There are 15 members of the show choir. In how many different ways can you arrange any 8 members in the front row? Show work. I will give brainliest!
Answer:
259,459,200 ways.
Step-by-step explanation:
That is the number of permutations of 8 from 15.
= 15! / 15-8!
= 15! / 7!
= 15*14*13*12*11*10*9*8
= 259459200
What should the following equation be multiplied by in order to eliminate the fractions? x/3+x/6=11/9
Answer:
Multiply by 18
Step-by-step explanation:
Given
[tex]\frac{x}{3} + \frac{x}{6} = \frac{11}{9}[/tex]
Required
Eliminate the fraction
To eliminate the fraction, we first determine the LCM of the denominators (3, 6 and 9)
This is show below:
List out the multiplies of 3, 6 and 9
[tex]3 = 3,6,9,12,15,18,21,24,27,30...[/tex]
[tex]6 = 6,12,18,24,30...[/tex]
[tex]9 = 9,18,27...[/tex]
The least common multiple is 18.
Hence, when both sides of the equation is multiplied by 18, the fraction is eliminated;
See proof
[tex]18 * (\frac{x}{3} + \frac{x}{6}) = \frac{11}{9} * 18[/tex]
[tex]\frac{18x}{3} + \frac{18x}{6} = \frac{11*18}{9}[/tex]
[tex]6x + 3x = 11 * 2[/tex]
[tex]6x + 3x = 22[/tex]
The fraction is eliminated
70% of the 30 sandcastles at Donatello Beach have moats. how many more moats are there
Answer:
21 moats
Step-by-step explanation:
.70 x 30 = 21
Help please it’s supposed to be turned in
Answer:
30 i believe
Step-by-step explanation:
hope this helps. i say 30 because thats the only common multiple in those numbers :P
please help solve this.
An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length of the triangle? What is the side length of the hexagon? Show your work.
Answer:
9 inches; 4.5 inches.
Step-by-step explanation:
Given the following data;
Length of sides of the equilateral triangle = 1.4x + 2 inches.
Length of sides of the hexagon = 0.5x + 2 inches.
We know that the perimeter of a hexagon is given by the formula;
P = 6 * length of sides
Substituting into the equation, we have;
P = 6*(0.5x + 2)
P = 3x + 12
Perimeter of an equilateral triangle is given by the formula;
P = 3 * length of sides
Substituting into the equation, we have;
P = 3(1.4x + 2)
P = 4.2x + 6
Since perimeter of hexagon = perimeter of equilateral triangle. Therefore;
3x + 12 = 4.2x + 6
Rearranging the equation, we have;
12 - 6 = 4.2x - 3x
6 = 1.2x
x = 6/1.2
x = 5
I. To find the length of each sides of the equilateral triangle;
Length of a side = 1.4x + 2
Substituting the value of "x" into the equation, we have;
Length of sides = 1.4*(5) + 2
Length of sides = 7 + 2
Length of sides = 9 inches.
II. To find the length of each sides of the hexagon;
Length of sides = 0.5x + 2
Substituting the value of "x" into the equation, we have;
Length of sides = 0.5*(5) + 2
Length of sides = 2.5 + 2
Length of sides = 4.5 inches.
The side length of the equilateral triangle 9 inches.
The side length of the hexagon 4.5 inches.
The side length of the equilateral triangle = 1.4x + 2
So, the perimeter = 3(1.4x + 2) = 4.2x + 6.
The side length of the hexagon = 0.5x + 2
So, the perimeter = 6(0.5x + 2) = 3x + 12.
Given tha the perimeters are equal.
So,
[tex]4.2x+6=3x+12\\4.2x-3x=12-6\\1.2x=6\\x=5[/tex]
Hence,
The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9
The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5
Learn more: https://brainly.com/question/13532036
Solve the inequality
Answer:
x<2
Step-by-step explanation:
5x+10>14x-8
18>9x
2>x
Snow Dome Ski Resort has 75 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 68 inches of snow. Currently it is snowing there at a rate of 2 inches per hour.
a) Make a table or a graph showing the amount of snow from 0 to 10 hours at each resort if the snow continues falling at this rate.
b) Indicate on your table or graph where the amount of snow will be the same at both resorts.
Answer:
a. See explanation for table
b. The 7th hour
Step-by-step explanation:
Given
Ski Resort
[tex]Base\ Snow = 75in[/tex]
[tex]Rate = 1in[/tex] hourly
Mt. Winterpark
[tex]Base\ Snow = 68in[/tex]
[tex]Rate = 2in[/tex] hourly
First, we need to illustrate the amount of snow as an equation in both cases.
[tex]Amount = Base\ Snow + Rate * Time[/tex]
Let x be number of hours. and y be the amount of snow
So:
Ski Resort
[tex]y= 75 + 1* x[/tex]
[tex]y= 75 + x[/tex]
Mt. Winterpark
[tex]y= 68 + 2 * x[/tex]
[tex]y= 68 + 2x[/tex]
Next, we make a table to show the data.
When [tex]x = 0[/tex]
Ski Resort: [tex]y = 75 + 0 = 75[/tex]
Mt. Winterpark: [tex]y = 68 + 2(0) = 68[/tex]
When [tex]x = 1[/tex]
Ski Resort: [tex]y = 75 + 1 = 76[/tex]
Mt. Winterpark: [tex]y = 68 + 2(1) = 70[/tex]
When [tex]x = 2[/tex]
Ski Resort: [tex]y = 75 + 2 = 77[/tex]
Mt. Winterpark: [tex]y = 68 + 2(2) = 72[/tex]
When [tex]x = 3[/tex]
Ski Resort: [tex]y = 75 + 3 = 78[/tex]
Mt. Winterpark: [tex]y = 68 + 2(3) = 74[/tex]
When [tex]x = 4[/tex]
Ski Resort: [tex]y = 75 + 4 = 79[/tex]
Mt. Winterpark: [tex]y = 68 + 2(4) = 76[/tex]
When [tex]x = 5[/tex]
Ski Resort: [tex]y = 75 + 5 = 80[/tex]
Mt. Winterpark: [tex]y = 68 + 2(5) = 78[/tex]
When [tex]x = 6[/tex]
Ski Resort: [tex]y = 75 + 6 = 81[/tex]
Mt. Winterpark: [tex]y = 68 + 2(6) = 80[/tex]
When [tex]x = 7[/tex]
Ski Resort: [tex]y = 75 + 7 = 82[/tex]
Mt. Winterpark: [tex]y = 68 + 2(7) = 82[/tex]
When [tex]x = 8[/tex]
Ski Resort: [tex]y = 75 + 8 = 83[/tex]
Mt. Winterpark: [tex]y = 68 + 2(8) = 84[/tex]
When [tex]x = 9[/tex]
Ski Resort: [tex]y = 75 + 9 = 84[/tex]
Mt. Winterpark: [tex]y = 68 + 2(9) = 86[/tex]
When [tex]x = 10[/tex]
Ski Resort: [tex]y = 75 + 10 = 85[/tex]
Mt. Winterpark: [tex]y = 68 + 2(10) = 88[/tex]
Hence, the table is:
x ---- Ski Resort ---- Mt. Winterpark
0 --------75 ----------- 68
1 --------76 ----------- 70
2 --------77 ----------- 72
3 --------78 ----------- 74
4 --------79 ----------- 76
5 --------80 ----------- 78
6 --------81 ----------- 80
7 --------82 ----------- 82
8 --------83 ----------- 84
9 --------84 ----------- 86
10 -------85 ----------- 88
(b)
From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches
Give an example of a sequence whose first term is positive, whose second and third terms are negative, and the rest are positive.
If you are asking for just an arbitraty sequence, here it goes:
[tex]a_n=\{3,-5,-8,1,1,1,1,\dots\}[/tex]
answer the following correctly
Answer:
[tex] y = -\frac{10}{3}x - 23 [/tex]
Step-by-step explanation:
Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]
Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.
Thus:
-3 = (-10/3)(-6) + b
-3 = 20 + b
Subtract 20 from each side
-23 = b
b = -23
substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.
The equation of the line would be:
✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]
[tex] y = -\frac{10}{3}x - 23 [/tex]
Which of the following numbers
does NOT have the same value as
one quarter?
help me.............
Answer:
is there a right angle?
Step-by-step explanation:
2u = u + 43
u = 43?
Marta used a coupon to save $3.50 on a book she bought. when marta bought the book,she gave the Clark a $20.00 bill,and the coupon.the sales gave Marta $9.01 in change.
Answer: OMG MY HERO ACADEMIA I LOVE YOUR PROFILE PICTURE!!!!!!!!!
Step-by-step explanation: Thanks for the points!!!! :)
What is proportional reasoning and how does it help you solve percent equations?
Answer:
We can't set up a proportion to solve for x in a percent equation. For example, 34/100=5/x
Step-by-step explanation:
What is the slope of the line that passes through the given points?
(-12,-4) and (11,-10)
Answer:
Y2-y1
X2-×1 = m
-12-(-10)
11-5 = -2/3
m= -2/3
Step-by-step explanation:
This scatter plot shows the height of a card tower and time in minutes used to build it. Based on the information in the scatter plot, what is the best prediction for the height of a card tower at 10 minutes?
A 3 inches
B 5 inches
C 7 inches
D 8 inches
The required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.
Given that,
This scatters plot shows the height of a card tower and time in minutes used to build it. Based on the information in the scatter plot,
A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).
Here,
From the graph, the measure of the height of the card tower at time 10 minutes is to be more than 5, Following the greatest integer function the measure of the card tower is given as 5 inches.
Thus, the required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.
Learn more about scatter plots here: https://brainly.com/question/29231735
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What value(s) of b will cause 3x2 + bx + 3 = 0 to have one real solution? Select all that apply.
b = –6
B.b = –9
C.b = 6
D.b = 9
Answer: -6 and 6
Step-by-step explanation:
Possible factors that could produce 3x² + 6x +3 are (x + 1)(3x + 3)
the solution for values of x: x+1=0, x= -1 3x+3=0, 3x= -3 . x= -1 . Same.
Possible factors that could produce 3x² - 6x +3 are (x - 1)(3x - 3)
the solution for values of x: x-1=0, x= 1 3x-3=0, 3x= 3 . x= 1 . Same.
From the attached graph of the possible equations, you can see that 9 and -9 won't produce ONE real solution. They each have "zeros" at two points on the x-axis. That is two solutions that would make x = 0.
The equations with -6 and +6 each touch the x-axis at only one point each.
I need some help on this
Answer:
b, k = -4
Step-by-step explanation:
3/2 = k + 11/2
=> 3/2 - 11/2 = k
=> -8/2 = k
=> k = -4
Answer:
the answer to this problem is -4
please answer fast :(((
Answer:
KP = 6
Step-by-step explanation:
From the information given, K is the centroid.
Therefore, based in the centroid theorem:
KP = ⅓(AP)
AP = 18
Plug in the value of AP into the equation
KP = ⅓(18)
KP = 6
7•7•7•7+1+1 exponent
Answer:
The right answer is 2,403
Step-by-step explanation:
Your restaurant bill is $42.16. You want to leave a 20% tip. What is your best
estimate of a 20% tip?
Your answer
Answer:
$8.40
Step-by-step explanation:
Since this is an estimate, you need to do it in your head. The way I did it was I divided 40 by 5 since 20% is one fifth of 100%, then I divided 2 by 5 and added them together which equaled 8.40.
Answer:
About $8
Step-by-step explanation:
Move decimal point one place to the left (making $4.20), then double that answer (making $8.40). You said estimate so I rounded down to $8 but a more precise answer would be $8.40.
Hope this helps :).
rename 1/4 and 1/8 using the least common denominator ( help pls )
Answer:
2/8 and 1/8
Step-by-step explanation:
8.A wedding venue holds no more than 485 guests. If 319 people have said they are attending, how many more people does the venue have room for?
Answer:
They have room for 166 more people.
Step-by-step explanation:
485 - 319 = 166
Answer:
166 people.
Step-by-step explanation:
If there is room for 485 and 319 people are coming, just subtract. 485-319=166.
Solve for x. (Simplify)
Answer:
x = 8.75
Step-by-step explanation:
the ratio of [tex]\frac{4}{7}[/tex] : [tex]\frac{5}{x}[/tex]
x = 8.75
Simplify 18 - 6x + 5x - 11
Answer:
7-x
Step-by-step explanation:
18-11=7
-6x+5x=-x
therefore, the answer is 7-x
The solution of the expression is,
⇒ - x + 7
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 18 - 6x + 5x - 11
Now, We can solve the expression as;
⇒ 18 - 6x + 5x - 11
Rearrange as;
⇒ - 6x + 5x + 18 - 11
Combine like term as;
⇒ - x + 7
Thus, The solution of the expression is,
⇒ - x + 7
Learn more about the mathematical expression visit:
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what are the missing angles?
Yuki works at a garden store. She is stacking 40-pound bags of soil. Write an equation that gives the total weight, w, of the soil in pounds when yuki stacks b bags.
The answer is w=40b Answer:
Step-by-step explanation:
Answer:200
Step-by-step explanation:
w=40b
=40(5)
=200
Tabitha used canvas fabric to make a tent for her dog. The number line shows the number of yards she used.
Answer:
7/8 because there are 4 dashes and the point is right in the middle of them, making it so the denominator is 8, you figure out the 7 because 8/8 would be 1, and the point is right before 1 so it has to be 7/8
Step-by-step explanation:
Answer:
D) 7/8
Step-by-step explanation:
I'm also on Edge and am on this same question. Credit to the other person for also saying 7/8 and being right :D
Solve each equation. Check your solution.
3(n - 7) = -30
How to simplify 1/3a+2/5a
Answer:
The simplified answer is 11a/15
Step-by-step explanation: