Answers
*Take note that 12x and 6x are put together because they are like terms.
For Steps 3 and 4, you will see that the addition property of equality was used in STEP 3. To keep the equation equal, you will add the same number on both sides.
STEP 4 uses Division property of Equality. Like Step 3, to keep both sides of the equation equal, you must divide both sides with the same number. It keeps the statement true by doing so.
STEP 4 and 5 uses transitive property if you examine both as a whole.
Transitive property assumes that if a = b and b = c, then a = c
If 18/18 (a) = 1 (b), and x (c) = 18/18(a) then, x (c) = 1 (b).
Related Questions
A gear rotates i degree each second. If it rotates for 2 minutes, how many degrees will it measure
Answers
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments with lengths in the ratio 1:2. the length of the altitude is 8. how long is the hypotenuse
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Segment1/Altitud=Segment 2/Altitud
2. The ratio is 1:2, then:
Segment1=2x
Segment2=1x
Segment2=x
Altitud=8
3. When you apply the Altitud Rule, you obtain:
Segment1/Altitud=Segment 2/Altitud
2x/8=8/x
4. When you clear the "x", you have:
(2x)(x)=(8)(8)
2x²=64
x²=64/2
x²=32
x=√32
x=4√2
5. Then:
2x=2(4√2)=8√2
6. Therefore, the lenght of the hypotenuse is:
h=4√2+8√2
h=12√2
h=16.97
The hypotenuse is 17.1 inches long
Given that the scale ratio is 1 : 2.
This means that:
Segment 1 : Segment 2 = 1 : 2
This gives
Segment 1 : Segment 2 = x : 2x
By comparison,
Segment 1 = x
Segment = 2x
Using the Altitude rule, x is then calculated as:
[tex]\frac{Segment\ 2}{8} = \frac{8}{Segment\ 1}[/tex]
Substitute known values
[tex]\frac{2x}{8} = \frac{8}{x}[/tex]
Cross multiply
[tex]2x^2 = 64[/tex]
Divide through by 2
[tex]x^2 = 32[/tex]
Take the square root of both sides
[tex]x = 5.7[/tex]
The length of the hypotenuse (h) is then calculated as:
[tex]h =x + 2x[/tex]
[tex]h =3x[/tex]
[tex]h =3 * 5.7[/tex]
[tex]h =17.1[/tex]
Hence, the hypotenuse is 17.1 inches long
Read more about right triangles at:
https://brainly.com/question/2437195
susan bought a 1 kilogram bag of grape. on the way home, she ate 125 grams of the grapes. how many grams of grapes does susan have left?
Answers
1000 - 125 = 875g
Susan has 875g of grapes left.
Susan has 875 grams of grape left
How to determine the amount left?The given parameters are:
Amount bought = 1 kgAmount ate = 125 gramsThe amount left is:
Amount left = 1 kg - 125 grams
Express kg as grams
Amount left = 1000 grams - 125 grams
Evaluate the difference
Amount left = 875 grams
Hence, Susan has 875 grams of grape left
Read more about subtraction at:
https://brainly.com/question/17301989
#SPJ6
What are the x- and y-intercepts of the line with equations x+2y=4?
Could someone explain this to me?
Answers
x+2y=4------------ > y=(4-x)/2
the x-intercepts is the value of X for y=0
0=(4-x)/2------------ > x=4--------------------> (4,0)
the y-intercepts is the value of y for x=0
y=(4-0)/2------------- > y=2-------------------> (0,2)
see the attached figure
why aren't voluntary response samples usually representative of the population
Answers
now, the people that will approach you, are just the people that will approach you, it could be all from one specific group, say all women, or mostly women, or mostly doctors, or mostly certain group, and therefore, they'll be giving their take on the topic, but for all we know they're just 15% of the whole population, it just so happen that they approach you.
and if they're 15% of the population, then their opinion matters only at the 15% consideration for the topic.
Answer: it would be (the people who volunteer usually have a motive to do so and will be the ones represented
Step-by-step explanation:
your welcome
What is -8h less than equal to 72
Answers
8h ≥ -72
h ≥ -72/8
h ≥ -9
Wyatt is hiking a trail that is 11/12 mile long. After hiking 1/4 Mile he stops for water. How much farther must he hike to finish the trail?
Answers
stop = 1/4 mile
d_remaining = ?????
d_remaining =d - stop
d_remaining = 11/12 - 1/4
1/4 = 1*3 / 4*3 = 3/12 You are doing this so that 1/4 has the same denominator as 11/12
d_remaining = 11/12 - 3/12 = 8/12
Wyatt has 8/12 of a mile to go 8/12 = 2/3 of a mile to go
2/3 mile <<<<<==== Answer.
You could also do this as a decimal
11/12 = 11 divide by 12 = 0.91666666667
1/4 = 0.25
Remainder = 0.9166666667 - 0.25
Remainder = 0.6666666 which is 2/3
I have not been particularly careful about how many 6s you get. Just copy what your calculator says..
Final answer:
Wyatt has 2/3 mile left to hike to finish the 11/12 mile long trail after stopping for water having hiked 1/4 mile.
Explanation:
Wyatt is hiking a trail that is 11/12 mile long, and after hiking 1/4 mile, he stops for water. To calculate how much farther he must hike to finish the trail, we subtract the distance he has already hiked from the total length of the trail.
The calculation would be:
Total trail length - Distance already hiked = Distance remaining
(11/12) - (1/4) = (11/12) - (3/12) = (8/12) miles
After simplifying the fraction, we find that Wyatt has 2/3 mile left to hike to reach the end of the trail.
For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second number is the first number smaller? 100 and 110
Answers
Final answer:
The second number, 110, is 10 percent larger than the first number, 100. Conversely, the first number, 100, is approximately 9.09 percent smaller than the second number, 110.
Explanation:
To find by what percent the second number is larger than the first, we calculate the difference between the two numbers and then divide by the first number, multiplying the result by 100. For the numbers 100 and 110:
Subtract the first number from the second: 110 - 100 = 10.
Divide the difference by the first number: 10 / 100 = 0.10.
Multiply by 100 to find the percentage: 0.10 * 100 = 10 percent.
Now, to find by what percent the first number is smaller than the second number:
Again, find the difference: 110 - 100 = 10.
But this time, divide by the second number: 10 / 110 = ~0.0909.
Multiply by 100 to find the percentage: ~0.0909 * 100 = approximately 9.09 percent.
Therefore, 110 is 10 percent larger than 100, while 100 is approximately 9.09 percent smaller than 110.
The measure of the space inside a geometric figure
Answers
So if u want to know what this would’ve called it would be volume hope this helps have a gr8 day/night
The list price of a bicycle tire is $28 and the trade-discount rate is 15%. Find the net price to the nearest cent, using the complement method.
Answers
Answer: The net price to the nearest cent is $23.80.
Step-by-step explanation:
Since we have given that
List price of a bicycle = $28
Rate of trade discount = 15%
So, Amount of trade discount would be
[tex]\dfrac{15}{100}\times 28\\\\=\$4.20[/tex]
So, Amount after discount, it would be
[tex]\$28-\$4.20\\\\=\$23.8[/tex]
Hence, the net price to the nearest cent is $23.80.
Let t[1..n] be a sorted array of distinct integers, some of which may be negative. give an algorithm that can find an index i such that 1 i n and t[i] = i
Answers
1 ≤ i ≤ n and t[i]=i.
If we need to find only the first occurrence, we can do:
for i:1 to n {
if t[i]=i then return(i)
}
If exhaustive search is required, then put the results (values of i) in an array or a linked list, return the number of values found, and the array (or linked list).
The partially complete anova table given here is for a two-factor factorial experiment source df ss ms factor a 3 2.25 0.75 factor b 1 0.95 interaction 3 0.30 error 16 2.40 0.15 total 6.50
Answers
The student's question involves understanding and completing a two-factor ANOVA table in statistics, which is used to determine if there are significant differences between group means.
Explanation:The question involves an Analysis of Variance (ANOVA) table used in statistics to test if there are significant differences between the means of three or more independent groups. Given the degrees of freedom (df), sum of squares (SS), and mean squares (MS), one would typically calculate the F-statistic for each source of variance (Factor A, Factor B, and the interaction) by dividing the MS of that source by the error MS. If the calculated F-statistic is greater than the critical F-value from the F-distribution table, one can reject the null hypothesis that the group means are equal. ANOVA is used in various research fields where data needs to be compared across multiple groups or factors.
I think that the answer is c can somebody help me out ?
Answers
tan F = 40/9 which is the third option
Explanation:
Triangle DEF is a right-angled triangle. This means that we can apply the special trigonometric function.
This means that:
tan θ = opposite / adjacent
In the given:
θ = F
opposite is DE = 40
adjacent is DF = 9
Substitute in the above equation:tan F = 40/9
Hope this helps :)
Can someone solve this please?
Answers
x = 8/2 - 5y/2
x = 4 - 2.5 y
or
x = 4 - 5/2 y
A cylinder shaped water tank has a diameter of 8 m and a height of 20 m. What volume of water does the tank contain when it is 60% full? Use 3.14 to approximate pi. Enter your answer as a decimal to the hundredths place in the box.
____ m³
Answers
area of the base: 3.14*4² (diameter is 8, so radius is 4)
height: 20
3.14*4²*20=1004.8
60% of 1004.8=602.88
Give me an expression that is equal to 4(6j + 5 + 2j). I already got 4(8j + 5), can you get me another expression using the distributive property? Once you got the answer give me the answer you got and translate it into a verbal expression
Answers
twenty-four j plus twenty plus eight j
OR
32j + 20
Work: 24j + 8j = 32
thirty-two j plus twenty
Hope this helps!
plz help ill give you brainlist
Answers
1. formula of perimeter is: P=2(a+b), where a & b - the sides of rectangle.
2. according to the condition 2(x+(x+4))<120; ⇒ x<28
answer: D. x<28
premier bank is planning to have a new building constructed
Answers
Let L, W, N represent the length in feet, width in feet, and number of floors (count). Then it seems we can write
.. L = W +40 . . . . . length is 40 ft more than width
.. 10LW +35000N = 1180000 . . . . . cost is based on foundation area and number of floors. (Here, we assume the 1st floor is sandwiched between the foundation at ground level and whatever it is that is 12 ft high and costs 35,000.)
.. 2(L +W) = 3*(12N) . . . . the height is 12 ft times the number of floors, and the perimeter is 3 times that.
These give rise to a quadratic equation.
.. 10L(L -40) +35000(L +(L -40))/18 = 1180000
Eliminating fractions and dividing by 10, we get
.. 9L^2 +3140L -1132000 = 0
The positive solution is
.. L = (10/9)*(-157 +√126529) ≈ 220.788
There is one solution and it is viable.
_____
The building is approximately 220.8 ft by 180.8 ft and 22.3 floors high.
Answer:
220.8 ft by 180.8 ft and 22.3 floors high.
Step-by-step explanation:
Does the following equation represent growth or decay y=76(1.013)x
Answers
Answer:
[tex]y=76(1.013)^x[/tex]
Growth
Step-by-step explanation:
We are given an equation [tex]y=76(1.013)^x[/tex]
We need to say about growth or decay of above equation.
It is an exponential function.
[tex]y=ab^x[/tex]
Growth or decay depends on the value of b
If b>1 then function is growth
If 0<b<a then function is decay
Now, we compare the the function
[tex]76(1.013)^x\rightarrow ab^x[/tex]
[tex]b=1.013[/tex]
b>1
The value of b is greater than 1.
Hence, [tex]y=76(1.013)^x[/tex] is growth function.
Randy is 6 feet tall, and casts a 7.5 foot shadow. Find the angle of depression from the top of Randy’s head to the tip of his shadow. Round answer to the nearest tenth.
Answers
the right answer is A 38.7
A website randomly creates an initial password for people when they first sign up for an account. The password consists of five letters, and cannot include numbers or special characters. The letters of the password cannot repeat. What is the approximate probability that a password will have no vowels? What is the approximate probability that the first letter of the password will be m?
Answers
No vowels
The question actually starts right here. The preamble tells us that we can only use letters, no numbers, and no symbols. We are not asked to do anything. The first question makes no mention of there being anything special about m. It can be there or it most likely is not. This part of the problem is the first part.
First Part
I'm not going to deal with y. I will declare it to be a consonant.
There are 5 vowels. None of them can be chosen.
21 letters remain (including the m since it has not been limited in any way yet).
21 * 20 * 19 * 18 * 17
================
26 * 25 * 24 * 23 * 22
2441880 / 7893600
0.30934
Note: If your calculator has nPr on it, you can enter 21 nPr 5 to eliminate all the typing.
Second Part
No vowels and the first letter MUST be m
1 * 20 * 19 * 18 * 17/( 26 * 25 * 24 * 23 * 22)
116200/7893600 = 0.01473
Vowels and the first letter m.
1 * 25 * 24 * 23 * 22/ 7893600 = 0.03846
Write in expanded form. Use parentheses to indicate multiplication. (2r) 5
Answers
If I assume correctly, the eqaution you ment to write is (2r)^5. If I am correct the answer your looking for is (2r)(2r)(2r)(2r)(2r) Hope this help ;-)
misha has a board that is 17 1/2 inches long that he has to cut into 3 equal pieces how long should each piece be
Answers
=17 1/2 ÷ 3
convert to improper fraction
= 35/2 ÷ 3
multiply by reciprocal of 3
= 35/2 * 1/3
= 35/6
= 5 5/6
ANSWER:
Each piece should be 5 5/6 inches.
Hope this helps! :)
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible. Which will most likely help her get the lowest interest rate? asking nicely making sure she has a positive credit history explaining that she has many outstanding loans showing her driver’s license
Answers
Answer: The answer is (b) making sure she has a positive credit history.
Step-by-step explanation: Given that Yolo is buying a car from a local car dealership and wants to get the lowest interest rate possible. We are to select the correct option which will most likely help her.
From the given options, we can see that she will get the lowest interest rate possible if she has a positive credit score.
Thus, (b) is the correct option.
She should [tex]\boxed{{\text{make sure that she has a positive credit history}}}[/tex] to get the lowest interest rate possible. Option (b) is correct.
Further Explanation:
Given:
The options are as follows,
(a). Asking nicely
(b). Making sure she has a positive credit history
(c). Explaining that she has many outstanding loans
(d). Showing her driver’s license
Explanation:
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.
To obtain the lowest interest rate she should ask the dealer for lowest interest rate and make sure that she has a positive credit history.
She should [tex]\boxed{{\text{make sure that she has a positive credit history}}}[/tex] to get the lowest interest rate possible. Option (b) is correct.
Option (A) is not correct.
Option (B) is correct.
Option (C) is not correct.
Option (D) is not correct.
Learn more:
Learn more about inverse of the function https://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497Answer details:
Grade: High School
Subject: Mathematics
Chapter: Credit Risk
Keywords: Yoko, buying, car, local car, dealership, lowest interest rate, possible, asking nicely, credit history, positive credit history, loan, license, outstanding.
Your family vacation involves a cross-country air flight, a rental car, and a hotel stay in boston. if you can choose from three major air carriers, two car rental agencies, and five major hotel chains, how many options are available for your vacation accommodations?
Answers
Final answer:
To find the total number of vacation accommodation options, multiply the choices of air carriers (3), car rental agencies (2), and hotel chains (5) together, resulting in 30 different combinations.
Explanation:
The question involves calculating the total number of vacation accommodation options available given a set of choices for air carriers, car rental agencies, and hotels. This type of problem is a basic combinatorial problem that requires multiplying the number of possibilities for each choice to get the total number of combinations.
To solve this, we can use the fundamental counting principle which states that if there are n ways to do one thing, and m ways to do another, then there are n x m ways to do both.
Applying this principle:
Number of air carriers: 3Number of car rental agencies: 2Number of hotel chains: 5We multiply these together: 3 x 2 x 5 = 30 total options for the vacation accommodations.
Hello i need help on this one and giving away points+ brainiest on the legit answer thanks!
Answers
.. L = 2 × 2'6" = 5'
The number that goes in the box is 5.
_____
16'6" is exactly twice as long as 8'3". You don't even have to convert to inches or decimal feet to see that.
PLEASE HELP PLEASE BABES!!
A bag contains 40 marbles: 12 red, 12 blue, and 16 yellow. What is the probability that a blue is randomly selected?
A) .30
B) .33
C) .40
D) .60
Answers
[tex] |\Omega|=40\\
|A|=12\\\\
P(A)=\dfrac{12}{40}=\dfrac{3}{10}=30\% [/tex]
In complete two or more sentences, determine the appropriate model for the given data and explain how you made your decision. (1,0), (2,1.5), (5,2.5), (8,3)
Answers
see if this helps
Answer:
The model for the given point is [tex]y=1.4004\ln (x) + 0.2158[/tex]
Step-by-step explanation:
Given : Data (1,0), (2,1.5), (5,2.5), (8,3).
To find : Determine the appropriate model for the given data?
Solution :
Data (1,0), (2,1.5), (5,2.5), (8,3).
We plot the data points on the graph and get the best fit line using trend line of the function.
Using regression calculator,
The function has a logarithmic behavior so the best line which represent the data is given by
[tex]y=1.4004\ln (x) + 0.2158[/tex]
and the value of R² i.e. correlation coefficient is given by
[tex]R^2=0.9691[/tex] which is approximately equal to 1 gives you the best fit line.
Therefore, The model for the given point is [tex]y=1.4004\ln (x) + 0.2158[/tex]
Refer the attached figure below.
Ms.michaels made an apple pie with a radius of 5in .she cut the pie into 6 equal slices. Fined the approximate area of each slice.
Answers
we know the radius is 5, thus the area of the whole circle is A = π5² or 25π.
then each slice is just one sixth of that, thus 25π/6 is the area of one slice.
A drum of oil has a height of 4ft and a radius of 1.2ft The cost of oil $22 per cubic feet.What is the cost to fill the drum of oil