Answer:
1/8x³- 1/27y³
Step-by-step explanation:
1/216×(27x³-8y³)
1/216×(3x-2y)×(9x²+6xy+4y²)
1/216×(3x-2y)×(9x²+6xy +4y²)
Which TWO systems of linear equations are solved correctly?
The detailed answer is in the images I have attached.
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Gina Wilson all things algebra unit 4 homework 3 questions 12-15
Step-by-step explanation:
the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.
therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.
from there we get really all 4 answers.
the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.
12.
3x + 18 + 7x - 58 + 2x - 8 = 180
12x - 48 = 180
12x = 228
x = 19
angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees
angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees
angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees
13.
8x - 17 + 19x + 4 + 5x + 1 = 180
32x - 12 = 180
32x = 192
x = 6
angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees
angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees
angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees
14.
KL = 9x - 14
LM = 7x - 37
KM = 3x + 23
angle K = angle L
so, the sides LM and KM must be equally long. that gives us
7x - 37 = 3x + 23
4x = 60
x = 15
KL = 9x-14 = 9×15 - 14 = 135-14 = 121
LM = 7x-37 = 7×15 - 37 = 105-37 = 68
KM = 3x+23 = 3×15 + 23 = 45+23 = 68
15.
XY = 13x - 21
YZ = 8x - 6
XZ = x + 4
angle X = angle Z
so, the sides XY and ZY (or YZ) must be equally long. that gives us
13x - 21 = 8x - 6
5x = 15
x = 3
XY = 13x-21 = 13×3 - 21 = 39-21 = 18
YZ = 8x-6 = 8×3 - 6 = 24-6 = 18
XZ = x + 4 = 3+4 = 7
As a puppy, Cricket weighed 3 3/4 pounds. At her 1-year check-up with the vet, Cricket weighed 12.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number in the box.
Answer:
8.75lb
Step-by-step explanation:
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One-half of the sum of a number and 12 is less than 27. What is the number? Write as an inequality.
Answer:
Call the number we need to find a.
Inequality: (12 + a) ÷ 2 < 27
<=> 12 + a < 54
<=> a < 54 - 12
<=> a < 42
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25
What value should be placed in the second column for the range 11 – 15?
A: 4, B: 3, C: 5, D: 6
3
5
6
Answer:
4
Step-by-step explanation:
Combine Like Terms:
7X + 3M - 2(2X + 8) + 24 + 8M - X
so hard
Answer:
11M + 2X + 8
Step-by-step explanation:
Hope this helps!! :))
Answer:
11M + 2x + 8
I did the math
it rights tho
If x+4 Is a Factor Of The Polynomial x³-x²-14x+24 ,Then Find Other Factors.
Answer:
(x - 3) and (x - 2)
Step-by-step explanation:
Using the method of long division to divide the polynomial by x + 4
x² - 5x + 6
-------------------------------
x + 4 | x³ - x² - 14x + 24
x³ + 4x²
---------------------------
- 5x² - 14x + 24
- 5x² - 20x
-------------------------------
6x + 24
6x + 24
--------------------------------
0 0
The quotient is x² - 5x + 6 = (x - 2)(x - 3)
x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form
|
WHAT IS THE AREA OF THE FIGURE BELOW? 8 units. 9 units. 10 units. 12 units.
Sorry, I can't upload the picture so If you know the answer you can tell me.
Answer:
8
Step-by-step explanation: 6 (half the perimeter). By truial and error, 2 units by 4 units.
Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to
deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to
her starting point?
0-12
O-1
05
7
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Which component is missing from the researcher’s process?
A.
B.
C.
D.
Answer:
It is B I believe, if not it's you're fault for not putting the choices...
Find the value of 'y' if 27^y = 9/3^y.
Help me please..
Answer:
y = 1/2.
Step-by-step explanation:
Note that 27 = 3^3 and 9 = 3^2:
27^y
= (3^3)^y
= 3^3y.
9/3^y
= 3^2/3^y
= 3^(2-y)
So 3^3y = 3^(2-y)
and therefore:
3y = 2 - y
4y = 2
y = 1/2.
Given that:
27^y = 9/3^y
⇛27^y × 3^y = 9
⇛(3^3)^y × 3^y = 9
⇛3^3y × 3^y = 9 [°.° (a^m)^n = a^mn]
⇛3^(3y+y) = 9 [°.° a^m×a^n = a^m+n]
⇛3^(4y) = 9
⇛3^(4y) = 3^2 [Bases equal ⇛exponents to equal]
.°. 4y = 2
y = 2:4 = 1/2
Hence, the value of y is 1/2.
Last year at a certain high school, there were 60 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll increased by 10% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
19.3%
Step-by-step explanation:
There were 10% * 60 = 6 more boys, and 25% * 100 = 25 more girls, so in total 31 more students got on the honor roll. From 160 to 191, the percentage is 31/160 = 0.19375
0.19375 = 19.3%
Help snsnsnansnsnsnsns
Answer:
answer is 420-69
Step-by-step explanation:
because those numbers are great
A coach purchased a soccer ball for each of his 18 players. If each soccer ball cost $12.99, how much did the coach spend before sales tax was added?
Answer:
$233.82
Step-by-step explanation:
$12.99 a ball times 18 players (12.99x18) equals 233.82$
Two trains, Train A and Train B, weigh a total of 557 tons. Train A is heavier than Train B. The difference of their weights is 371 tons. What is the weight of each train?
Answer:
A=464
B=93
Step-by-step explanation:
A+B=557
A-B=371
Solving the two equations simultaneously gives A=464 and B=93
Emily spends $28 on food. This amount of 4/9 of her allowance, what is Emily’s allowance?
please help with explanation !
Answer:
$63
Step-by-step explanation:
so we want to find 9/9 of her allowance, which is 100%
we could use a proportion:
let 'a' = full allowance
[tex]\frac{28}{1}[/tex] ÷ [tex]\frac{4}{9}[/tex] = [tex]\frac{a}{1}[/tex] ÷ [tex]\frac{9}{9}[/tex]
when we divide fractions we multiply by the reciprocal to get:
28 x 9/4 = a
a = 252/4
a = 63
suppose that prices of a certain model of new homes are normally distributed with a mean of 150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between 150,000 and 154,200, if the standard deviation is 1,400. a.) 49.85% b.) 47.5% c.) 34% d.) 99.7%
49.85% of buyers paid between 150,000 and 154,200
The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.
Given that mean (μ) = 150000, standard deviation σ = 1400
68% are within one standard deviation = μ ± σ = 150000 ± 1400 = (148600, 151400)
95% are within two standard deviation = μ ± 2σ = 150000 ± 2 * 1400 = (147200, 152800)
99.7% are within three standard deviation = μ ± 3σ = 150000 ± 3 * 1400 = (145800, 154200)
The buyers who paid between 150,000 and 154,200 = 99.7%/2 = 49.85%
Hence 49.85% of buyers paid between 150,000 and 154,200
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find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
2x+1
None, it is a binomial because it has 2 terms. The degree is 1.
Hope this helps friend~ ^^
Jayden drank 2 glasses of water in the morning and 1/2 of a glass in the afternoon. How much water did Jayden drink in all?
Answer:
2.5 glasses of water
Step-by-step explanation:
Answer:
he drank 2 and a half glasses of water
Step-by-step explanation:
all u have to do is add up 2 and 1/2 to see how much he drank in all
Which equation can be simplified to find the inverse of y = 2x2?
1/y=2x^2
y=1/2x^2
-y=1/2x^2
x=2y^2
Answer:
D. x = 2y²Step-by-step explanation:
The step in working out the inverse is to swap over the variables.
If we apply same to given equation, we'll have:
y = 2x² → x = 2y²It gives us the option D
Answer:
Option D
Step-by-step explanation:
y=2x²Interchange x and y
x=2y²Hence option D is correct
y²=x/2y=√x/2the store marked up the shirt by 20% the original shirt cost $40 how much does the new shirt cost
Answer:
48
Step-by-step explanation:
First find the amount of the markup
40 * 20%
40 *.2
8
Add this to the original price
40+8 = 48
Find the quotient. 1,329 ÷ 4
Answer:
Quotient is basically division.
Step-by-step explanation:
1329/4 is basically
332.25 is the answer
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Combined Area Expression:
(36 + x - 2 + x - 2)(20 + x - 2 + x - 2) = (32 + 2x)(16 + 2x)
= 4(16 + x)(8 + x)
Area:
4(16 + 5)(8 + 5) = 4 * 21 * 13
= 1092 m^2
y = -7x - 21
What is the slope of this equation and what is the Y intercept.
Answer:
Slope is -7
Y intercept = -21
Step-by-step explanation:
The equation is Y=mx+b
M is the slope so -7 would equal the slope
B is where your Y- intercept already is so that would equal -21
{1, 2, 3, 4, 5, ..., 198, 199, 200}
How many members of the set shown above are multiples of 6 but not a multiple of 9?
(I need a faster way of doing this question. Not listing the factors of 6 and 9 one by one.)
Thank you so much. I will give brainliest!!!
Answer:
22
Step-by-step explanation:
The least common multiple of 6 and 9 is 18. Consider a group of 18 numbers, 1–18, for example. The multiples of 6 are 6, 12, and 18, of which two are not multiples of 9.
There are 11 groups of 18 numbers in 1–200, with 2 left over. That means there will be 11×2 = 22 numbers that are multiples of 6 but not 9.
__
200/18 = 11 remainder 2
Accessing logarithmic Matrix..Terminal sequence pairs = 1 0 - 83 - 32 5 - 128
Answer:
7
Step-by-step explanation:
En el salón de Esteban hay 28 alumna y solo han regresado a clases presenciales 45% de sus compañeros ¿cuantos alumnos faltan por regresar?
15 students are yet to return for the face to face classes
Given the following parameters
Total number of students in Esteban's classroom = 28 students
If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6
People that are yet to return = 28 - 12.6
People that are yet to return = 15.4
This shows that about 15 students are yet to return for the face to face classes
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plz answer this 20 points
Kate bought 5 pounds of hamburger and 2 pounds of hotdogs and paid $28.50. Eric bought half the amount of hamburger and a fourth of the amount of hotdogs that Kate did and paid $12.50. Find the cost per pound of hamburgers and hotdogs.
This is a system of equations
Answer:
hamburgers - $4.30 hotdogs- $3.50
The required cost of a hamburger and a hotdog is $4.3 and $3.5 respectively.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
Let the cost of the hamburger be x and the cost of hotdogs be y.
According to the quesiton,
5x + 2y = 28.50 - - - - (1)
5x /2 + 2y / 4 = 12.50
10x + 2y = 50 - - - -(2)
From equation 1 and 2
5x = 21.5
X = $4.3
Now,
5×4.3 + 2y = 28.50
y = 7 / 2
y = $3.5
Thus, the required cost of hamburgers and hotdogs is $4.3 and $3.5 respectively.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
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