Answer:
38.5 minutes
Step-by-step explanation:
105 divided by 15=7
7 x 5 minutes and 30 seconds is 38.5 minutes
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
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what does x equal?
4x+7=31
Answer:
x = 6
Step-by-step explanation:
First, subtract 7 from both sides to get x alone. That will give you 4x = 24 .
Then divide both sides by 4 to remove the coefficient of x. That means x = 6.
4x+7=31
-7 -7
4x=24
÷4 ÷4
x = 6
Help plz ^-^ will give brainliest!
Answer:
E
Step-by-step explanation:
I took the test too!
Question 17 options:
It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. See Attached Excel for Data.
sleep hours data.xlsx (8.6
8.3
7.6
6
7.1
5.6
5.1
6
Compute a 92% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 92 % confidence that the true mean time a student sleeps per night is between
Answer:
We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).
Step-by-step explanation:
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum X=\frac{54.3 }{8}=6.788\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 11.8288}=1.299[/tex]
Since, the sample standard deviation is computed the t-statistics will be used for the confidence interval.
The critical value of t for (n - 1) degrees of freedom and 92% confidence level is:
[tex]t_{\alpha/2, (n-1)}=t_{0.04, 7}=2.046[/tex]
*Use a t-table.
Compute the 92% confidence interval for the true mean time a student sleeps per night as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]
[tex]=6.788\pm 2.046\times\frac{1.299}{\sqrt{8}}\\\\=6.788\pm 0.9392\\\\=(-0.2504, 1.6080)\\\\\approx (-0.25, 1.61)[/tex]
We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).
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
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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]
Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit. Which measurement is in ounces, and which is in grams? 6__________170______
Given:
Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit.
6__________ = 170______
To find:
The correct units from grams and ounces for these blanks.
Solution:
We know that, 1 ounce is greater than 1 gram.
1 ounce = 28.3495 grams
Multiply both sides by 6.
6 ounces = 170.097 grams
Approximate the values to the nearest whole number.
6 ounces = 170 grams
Therefore, 6 ounces = 170 grams.
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
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
Marcus graphed a point on the number line. A number line going from 0 to 1 with 8 equal spaces between 0 and 1. A point is marked on the line half-way between 0 and 1. What fractions did he graph? Check all that apply.
Answer:
A,C,D
Step-by-step explanation:
I got it right :D
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.
(b) 25% of what number is 17?
Answer:
68
Step-by-step explanation:
derive that 25 percent of 68 equals 17.
Answer:
25 percent of 68 equals 17.
Step-by-step explanation:
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
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
please help solve this.
what are the missing angles?
what is 20 percent of 90?
Answer:
18
Step-by-step explanation:
Solve the inequality
Answer:
x<2
Step-by-step explanation:
5x+10>14x-8
18>9x
2>x
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
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!!!! :)
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.
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9/10 of alien races think invading Earth is a bad idea.
What percentage of alien races think invading Earth is a bad idea?
____%
7) Wnte a linear function in
slope intercept form that
passes through the point (2, 3)
and has a slope of 4
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
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:
Two pounds of cashews cost $19, and 8 pounds cost $76.
Number of pounds 2 3 8
Cost ($) 19 28.50 76
Is the relationship between the cost and the number of pounds of cashews a proportional relationship? Explain.
How can you use your equation to find the cost of 6 pounds of cashews?
Would it be possible to prove this is proportional or not proportional without the table? Explain how you know.
Please reply quickly thanks : )
Answer:
Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.
Step-by-step explanation:
BRAINLIEST MAYBE???
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 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.
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
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 :).