[tex]\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}[/tex]
the given number line shows the solutions to which inequality
A)x + 4 ≥ 5
B)x – 2 > 7
C)x – 3 ≥ 6
D)x – 1 ≥ 8
—————————-
C) x – 3 ≥ 6
Solving this inequality by adding 3 on both sides, we get
x ≥ 9 which is shown on the number line
Here is another one if anyone can help me out
Answer:
1. 3 × Equation [A2] --> Equation [B2]
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
Step-by-step explanation:
1. 3 × Equation [A2] --> Equation [B2]
Technically 1 x equation [A1] --> equation [B2] works, but I doubt you're meant to do that lol
Instead, this works:
4x × 3 = 12x
-7y × 3 = -21y
8 × 3 = 24
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
(-3x × 4) + 12x = -12x + 12x = 0x
(2y × 4) + -21y = 8y - 21y = -13y
(7 × 4) + 28 = 28 + 24 = 52
=========================
I'll try to explain my process a little this time.
From A to B, you can see that equation 2 changed. Looking at the first term, 4x changed to 12x. Thats a multiplier of 3, and you can check that on the rest. In this case, that works.
Then from B to C, equation 2 changed again. This time, I noticed that x was canceled out. That means -12x had to have been added to 12x. In equation 1, theres a -3x. 4 times that is -12, and adding -12x to equation 2 works. Check that with the rest, and they all work.
show that √20 = 2√5
hence , 2√5 = √20
If it takes you 2 1/2 hours to assemble one unit, how many units will you complete in 15 hours? (Change 2 1/2 to improper fraction first)
Answer:37.5
Step-by-step explanation:
2 1/2 as an improper fraction is 5/2
If i'm wrong tell me please i hope this helped you
sara buys two bags of chips and three boxes of pretzels for $ 85. He then buys another bag of chips and two more boxes of pretzels for $ 50. Find the cost of each bag of chips and each box of pretzels.
Answer:
Chips= $20 Pretzel=$15
Step-by-step explanation:
Sara bought 2 Chips + 3 Pretzels = $85
(Extra) 1 Chips + 2 Pretzels = $50
Pretzels are twice as much as chips so above ^^ Can be expressed
as Pretzel (15) + Pretzel (15) + Chips(20) = $50
Now lets go back to the first line Putting in the new prices
Chips(20) + Chips(20) + Pretzel(15) + Pretzel(15) = Pretzel(15) = $85
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
[tex]\huge{\underline{\underline{\boxed{\sf{\purple{Answer}}}}}}[/tex]
Since column 3 of the given matrix consists of numbers which are all constant multiples of each other, there is a theorem which states that the determinant of this matrix is 0 .However, I will prove it from calculation just to verify and show how you would calculate such determinants should you not be aware of the theorems of linear matrix algebra.Use co-factor expansion along any row or column of your choice.This involves adding the products of the entries in each row with their co-factors[tex] { - 1}^({i + j} )[/tex]for an entry in row I and column j, multiplied by the minor of the entry, formed by evaluating the resulting determinant when you delete row I and column j.In this case, since the given matrix is 3x3 indimension, it will result in three 2×2 determinants which we can find from definition[tex] \binom{a \: b}{c \: d} [/tex] = ad-bc
I will take co-factor expansion along row 1 as an example to find the determinant of the given matrix as :
∆=[tex] 1( - 1) {}^{1 + 1} {} \binom{56}{8 \: 9} + 2( - 1) {}^{1 + 2} \binom{4 \: 6}{7 \: 9} + 3( - 1) {}^{1 + 3} \binom{4 \: 5}{7 \: 8} \\ = 1(45 - 48) +( - 2)(36 - 42) + 3(32 - 35) \\ = - 3 + 12 - 9 \\ = 0 [/tex]
A car is traveling at a speed of 54 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 10 seconds? Do not round your answers.
Pizza Palace sells cheese pepperoni, sausage and mushroom pizzas. Caleb noticed that for every 10 orders of cheese pizza, there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushrooms pizza. If there were 35 pepperoni pizzas ordered, how many total pizzas were ordered?
Step-by-step explanation:
cheese : pepperoni : sausage : mushroom =
10 : 7 : 5 : 8
so, in total there are 10+7+5+8 = 30 "business pieces".
to get the total number of pizzas, we need to see how many pizzas are sold per "business piece" ?
we get this from the 35 orders of pepperoni pizzas.
these 35 orders represent 7 "business pieces".
that means 1 "business piece" = 35/7 = 5 pizzas.
that means that 30 "business pieces" are 5×30 = 150
so, in total, 150 pizzas were ordered.
Please take a look at the picture.
Answer:
B, and A
Step-by-step explanation:
big brain time
Suppose you are reviewing your cell phone bill on Friday and you notice you go over your data limit 49% of the time. You
review the weather forecast for tomorrow that says there is a 11% chance of rain. Assuming rain and going over in data are
independent events, what is the probability that it rains and you go over in data tomorrow? Give your answer as an exact
fraction and reduce the fraction as much as possible.
Probability that it rains and you go over in data tomorrow = 0.0539
Percentage of time it takes to go over your data limit = 49%
Probability that you go over your data limit, P(data) = 49/100
P(data) = 0.49
The chance that it rains tomorrow = 11%
Probability that it rains tomorrow, P(rain) = 11/100
Probability that it rains tomorrow, P(rain) = 0.11
Probability that it rains and you go over your data tomorrow = P(rain) x P(data)
Probability that it rains and you go over in data tomorrow = 0.11 x 0.49
Probability that it rains and you go over in data tomorrow = 0.0539
Learn more here: https://brainly.com/question/25537557
Jorge wants to find the height of the house, help him find it.
Ms. April likes for the twenty students in her
class to have a carton of milk each day at break
time. She sends three of her students down to
the cafeteria to ask for the cartons of milk, but
she likes to mix things up a bit and wants to
send a different group of students down every
day. Will she have enough different groups of
three students in her class of twenty students to
send a different group every day of the school year? (There are 180 days in the school year)
9514 1404 393
Answer:
yes
Step-by-step explanation:
There are 20 ways to choose the first student, 19 ways to choose the second student, and 18 ways to choose the third student. Chosen this way, the same three students can be chosen 3×2×1 = 6 different ways. So, the number of different choices of 3 students will be ...
(20×19×18)/(3×2×1) = 1,140
There are easily enough different combinations of 3 students to have a different combination each day.
_____
Additional comment
The number found above is the number of combinations of 20 students taken 3 at a time: 20C3 or C(20, 3). The value can be computed from ...
nCk = n!/(k!(n-k)!)
geometry homework help
Answer:
To make things easier if you were to find the angle of any exterior angle on a triangle, you can always add up the two remote interior angles in order to get the exterior angle on a triangle. So in this case 76 and 52 added up is 128
m<1= 128
For the first one (i think)
Well the triangles do give away the fact that 66 and 84 are in one of the shape. We know a triangle has 3 angle measures and if added up it would equal to 180.
66+84+x=180
You’d get x=30
Now we have 30 as angle 1.
angle 3 and 84 degrees are supplementary so we can just do
84+y=180 which in this case is 96 so angle 3 is 96
Now we need to find 2, we know that 3 is 96 and we have a 43 degrees already given. It’s a triangle so same thing
96+43+n=180
in this case n is angle 2 and the measure of angle 2 is 41 degrees.
Final answers:
m<1=30
m<2= 41
m<3= 96
Answer:
Step-by-step explanation:
Question 2
1 = 76+52=128
=180-128
=5266+84 = 150 180-150=30
2. 96+43=139 180-139=
=41
3.180-84
=96
1. The method of substitution is likely the best method for which system?
−8x−2y=18x−2y=5
2x+y=103x+2y=5
5x−2y=32x+2y=1
−3x+2y=93x−5y=4
2. Solve the system of equations using the substitution method.
5x−4y=−15x−3y=−3
(3, 0)
(0, -4)
(-3, 0)
(0, -3)
Answer:
2.) x=−3 and y=0
Step-by-step explanation:
im still tryna figure out answer to number 1. sorry
Find the number of integers between 1 and 1000 that are divisible by 12 or 15, but not by both 12 and 15.
Count the multiples of 12:
⌊1000/12⌋ = 83
(where ⌊x⌋ denotes the "floor" of x, or the largest integer that is less than or equal to x)
These are the integers
{12, 24, 36, 48, …, 996}
Count the multiples of 15:
⌊1000/15⌋ = 66
These are
{15, 30, 45, 60, …, 990}
Count the multiples of both 12 and 15; these are multiples of LCM(12, 15) = 60:
⌊1000/60⌋ = 16
These are
{60, 120, 180, 240, …, 960}
Now use the inclusion/exclusion principle to count the multiples of either 12 or 15, but not both:
83 + 66 - 2•16 = 117
Among the multiples of 12 and the multiples of 15, we count the numbers that are multiples of both 12 and 15. By subtracting the number of multiples of both (16), we get the count of integers that are either divisible by 12 or 15. We subract 16 again to remove those that are divisible by both 12 and 15.
Five tickets numbered 1, 2, 3, 4, and 5 are placed in a box, and three are selected at random. Determine the probability of obtaining a 1 or a 2 or both.
Answer:
the probability is 1 and 2
1. Complete the problem by using your calculator. Round your answer to three decimal places.
If f(x)=x^3– 7x^2+ 3 find f(-2) and f(3/4)
a. f(-2) = 3 and f(3/4)= 2.728
b. f(-2)= 3 and f(3/4)= 10
c. f(-2)=-33 and f(3/4)=-0.516
d. f(-2)= 7 and f(3/4)= 21
e. f(-2)= 10 and f(3/4)=-0.968
nhing utility Round
Answer:
c.
Step-by-step explanation:
Plug in -2 for x ....
f(x) = -2^3 - 7(-2)^2 + 3
= -8 - 28 + 3
= -36 + 3
= -33
Plug in 3/4 for x ....
f(x) = 3/4^3 - 7(3/4)^2 + 3
= 27/64 - 63/16 + 3
The put in decimals ....
27/64 = .422
63/16 = 3.938
Put the decimals back into the equation ....
= .422 - 3.938 + 3
= -3.516 + 3
= -.516
1) The temperature in Chicago is 42°F and the temperature in
Dayton is 19° cooler. What is the temperature in Dayton?
A. 25°F B. 61°F C. 23°F D. 58°F
I need to know the answer
Answer:
2 x 6 = 12
6 x 2 = 12
12 ÷ 6 = 2
12 ÷ 2 = 6
Step-by-step explanation:
Find the value of x in each case.
Answer:
Step-by-step explanation:
To find x
Â= 180⁰-8x (angle on a straight line)
B= 180- 9x (angle on a straight line)
:. G + Â + B = 180⁰ ( sum of angles in a triangle)
5x + 180⁰ - 8x + 180⁰ - 9x = 180⁰
5x -8x - 9x + 180⁰ +180⁰ = 180⁰
-12x + 360⁰ = 180⁰
360⁰ - 180⁰ = 12x
180⁰ = 12x ( divide both sides by 12)
x = 15⁰
URGENT, WILL GIVE BRAINLIEST!!
In △ABC, A=27∘, a=27 and c=24. Which of these statements best describes angle C?
C must be acute.
C must be obtuse.
C can be either acute or obtuse.
△ABC cannot be constructed.
Answer:
C must be acute, and ABC cannot be constructed
Step-by-step explanation:
24 degrees is under 90 degrees making angle c an acute angle.
ABC cannot be contructed because a triangle makes up of 180 degrees, and ABC does not make up 180 degrees.
Have a great day friend! :D
Answer:
C must be acute.
Step-by-step explanation:
The smaller the length of the side, the smaller is the angle opposite it, so C must be < 27.
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads and two sandwiches. The Donovan family pays $14 for a salad and three fruit bowls. What is the price of a fruit bowl at the cafe?
$2
$3
$4
$5
Answer:
$3
Step-by-step explanation:
https://brainly.com/question/16432745
What is the sum of the two expressions? (3/7x+4)+(1/7x-2)
Combine the like terms:
3/7x + 1/7x = 4/7x
4 + -2 = 4-2 = 2
Answer: 4/7x + 2
Find the equation of the line.
Answer:
Step-by-step explanation:
(-4,-5) and (6,4)
Slope: (4 - - 5) / ( 6 - - 4) = 9/10
y-intercept= - 5 - (9/10)(-4)
= - 5 + 36/10 = -7/5
y = 9/10x - 7/5
The equation of the line is x + 10y -19 = 0.
We are given that;
The points of line segment= (6,4) and (-4,5)
Now,
To find the equation of a line given two points, we can use the two-point form formula:
y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1)
where (x 1, y 1) and (x 2, y 2) are the two given points and (x, y) is any point on the line.
We have:
(x 1, y 1) = (6,4)
(x 2, y 2) = (-4,5)
Substituting these values into the formula, we get:
y − 4 = 5 − 4 -4 − 6 ( x − 6)
Simplifying and rearranging, we get:
y = -1/10 x + 19/10
This is the equation of the line in slope-intercept form. We can also write it in standard form by multiplying both sides by 10 and moving all terms to one side:
x + 10y -19 = 0
Therefore, by equation the answer will be x + 10y -19 = 0.
Learn more about equation;
https://brainly.com/question/10413253
#SPJ2
Explain how you can write 4.1 as a/b
Answer:
ax + by
Step-by-step explanation:
i hope its correct
if its wrong then im sorry :)
If 10 candy cost $35. How much candy can I buy with $20
Answer:
6 candies
Step-by-step explanation:
(find unit rate, cost / quantity)
35/10 = 3.5
20/3.5 = = 5.7142857142857
candies cannot be in decimal so you must round to the nearest whole
Simplify the following expression
3x + 2(x +6) -4 -2x
A. 3x + 2
B. 7x + 8
C. 3x + 8
D.7x + 10
Answer:
C
Step-by-step explanation:
3x+2(x+6)-4-2x.
First, we do the parenthesis.
This gives us: 3x+2x+12-4-2x.
Then, we reorder so like terms are together.
This gives us: 3x+2x-2x+12-4.
Then, we combine like terms.
This gives us: 3x+8, which is C.
x – 1= 4x + x - 8+ 3x
Answer:
1
Step-by-step explanation:
Add one on both sides, combine like terms and solve.
what is the sum of 6/12 and 1/2
A.3/12
B.9/12
C.12/12
D.13/12
PLZZZZ HELP I WILL GIVE BRAINLIST
Answer:
1/2
Step-by-step explanation:6/12 is 1/2 of the fraction meaning that 6/12 is = to 1/2.
Answer:
12 / 12
Step-by-step explanation:
LCM of 12 and 2 = 12
1 / 2
= ( 1 / 2 ) x ( 6 / 6 )
= ( 1 x 6 ) / ( 2 x 6 )
= 6 / 12
6 / 12 + 1 / 2
= 6 / 12 + 6 / 12
= ( 6 + 6 ) / 12
= 12 / 12
help me answer this 100 POINTS!!!!!
Answer:
1 C
2 A
Step-by-step explanation:
1 C No it cannot be defined because A and B are not congruent
2 A Yes, the lines will remain parallel
PS. It's only 50 points because two answers are allowed. Each answerer gets half.