Answer: x+(x+1)+(x+2) = 63
This is because x is the smallest number, so x+1 is the next value up, and x+2 is the value after that. The parenthesis are optional. I used them to separate out the three expressions. We can simplify the left side to 3x+3, which means that equation in bold is the same as 3x+3 = 63. So there are few ways we can form the equation.
You have the correct answers for the other boxes:
20+21+22 = 63
Nice work.
20, 21, 22
Step-by-step explanation:
Let x = the smallest integer of the three consecutive ones
(x + 1) = the next consecutive integer after x
(x + 2) = the next consecutive integer after (x + 1)
The sum of these three should add up to 63 so
x + (x + 1) + (x + 2) = 63
This simplifies to
3x + 3 = 63
Solving for x, we get
x = 20
Therefore, the three consecutive integers whose sum add up to 63 are 20, 21 and 22.
Please help and show work!
Answer:
x = 3
Step-by-step explanation:
Two triangles are similar
x/(x+3) = 4/8 cross multiply expressions
8x = 4x + 12
8x - 4x = 12
4x = 12 divide both sides by 4
x = 3
(1 point) Find ⋅ if =⟨−1,0,1⟩ and =⟨4,5,2⟩ Is the angle between the vectors "acute", "obtuse" or "right"?
Answer:
Obtuse.
Step-by-step explanation:
If we have a vector v = (a, b, c)
The magnitude of the vector is:
|v| = √(a^2 + b^2 + c^2)
And the dot product of two vectors:
v = (a, b, c)
w = (c, d, e)
is:
v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e
With that relation, we can find the angle between the two vectors.
In this case, we have:
v = ⟨−1,0,1⟩
then:
|v| = √( (-1)^2 + 0^2 + 1^2) = √2
And:
w = ⟨4,5,2⟩
then:
|w| = √( 4^2 + 5^2 +2^2) = √116
Then:
v.w = (√2)*(√116)*cos(θ) = (-1)*(4) + 0*5 + 1*2
(√2)*(√116)*cos(θ) = -4 + 2 = -2
(15.23)*cos(θ) = -2
cos(θ) = -2/15.23
θ = Acos( -2/15.23) = 97.5°
Then the angle is larger than 90°, so the angle is obtuse.
A cyclist rides his bike at 12 miles per hour. What is this speed per minute? How many miles will the cyclist travel in 20 minutes? Do not round you answers. Help thx
Answer:
In order to find the distance traveled in one minute, you have to divide the distance he can ride his bike in an hour by the number of minutes in a hour. 6/60= .1 mile per minute. If he rides his bike for five minutes, then you would multiply the number of minutes biked by the distance traveled in a minute. .1*5=.5 mile, or [tex]\frac{1}{2}[/tex] mile.
Step-by-step explanation:
The cyclist will travel 4 miles in 20 minutes.
What is Speed?Speed is the time rate at which an object is moving along a path,
To find the speed per minute, we can use the fact that there are 60 minutes in an hour. Therefore:
12 miles per hour = 12/60 miles per minute = 0.2 miles per minute
So the cyclist's speed is 0.2 miles per minute.
To find how many miles the cyclist will travel in 20 minutes, we can use the formula:
distance = rate x time
Plugging in the given values, we get:
distance = 0.2 miles per minute x 20 minutes
distance = 4 miles
Therefore, the cyclist will travel 4 miles in 20 minutes.
To learn more on Speed click:
https://brainly.com/question/28224010
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f(x) = 2(x+4)2 - 6
Vertex:
Is the vertex a max or min?
Answer:
2 is positive, so this graph has a minimum and opens upward
Step-by-step explanation:
PLSSS HELP GIVING BRAINLIEST
Mr. Fowler's science class grew two different varieties of plants as part of an experiment. When the plant samples were fully grown, they compared their heights. Plant variety Height of plant (inches) Mean Mean absolute deviation (inches) Variety A 23, 21, 18, 10, 23 19 4 Variety B 18, 11, 13, 13, 15 14 2 Based on these data, which statement is true? O A. Variety A always grows taller than variety B. B. The average height of variety A is greater and varies more than that of variety B. O C. The average height of variety A is greater but varies less than that of variety B. O D. The maximum height of variety B is greater than that of variety A.
Answer:
the answer is B!
Step-by-step explanation:
i just took the exam!! i came here looking for an answer but decided to try it on my own since i couldnt find one.
seven less than the quotient of nineteen and 2
Answer:
19x2-7
mark me brainliestt :))
Anyone I need help whit this question
Answer: 94.3 meters
Step-by-step explanation:
given the information in the diagram, which thermo best justifies why lines j and k must be parallel?
A prism with a square base has a volume of 96 ft3. The height of the unit is 6 feet.
A prism has a length of l, width of 2, and height of 6 feet.
Given what you know about the figure, complete these sentences.
The area of the square base is
feet2.
The length of the prism is
feet.
The width of the prism is
feet
Answer:
Its 16 4 4
Step-by-step explanation:
if we got the same question then this should be correct :)
Sami leave his house at 3:45 PM and walks to karlas house in 15 minutes he stays at karlas house for five minutes and then walks to the library in 10 minutes when does Sami arrive at the library
Samantha saves at least 10% of the money she earns each month. She earns $120 each month for a year. Which inequality describes the total amount Samantha saves?
Step-by-step explanation:
10 % each month is $12.00 12 months in a year 12 x 12.00 = $144.00
The inequality to describe the total amount Samantha saves is s > 15.
The correct option is (A).
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. We compare two values in inequality.
As per the given data:
We are given that Samantha saves at least 10% of her monthly salary.
Samantha is earning $150 each month for a year.
To find the amount Samantha at least saves in a month:
= 10% of her monthly salary
= 10% × 150
= 10/100 × 150
= 15 dollars
As she is saving, at least 15 dollars, then the inequality to describe her savings is as follows:
savings > 15
The inequality to describe the total amount Samantha saves is s > 15.
Hence, The inequality to describe the total amount Samantha saves is
s > 15.
Learn more about Inequality here:
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(The given question is incomplete, the complete question is given below)
can someone please help me on this question? 30 points
Answer:
Equation: 3x-20+x=180
4x-20=180
4x=200
x=50
Step-by-step explanation:
456 + 788 - 129 x 9 = ?
Also wanna converse? Lol
[tex]456+788-129\cdot \:9\\\\129\cdot \:9=1161\\\\456+788=1244\\\\1244-1161=83\\\\=83[/tex]
Round 5,060 to the nearest tenth
Answer:
5060.0
Step-by-step explanation:
hope this helps with the work
What is the converted metric unit for 75 cm
Answer:
To inches?
Step-by-step explanation:
75 cm = is about like 30 inches
√320x^3 yz
simplify square roots
Answer:
[tex]8x\sqrt{5x}[/tex]yz
Step-by-step explanation:
before you plug in this answer, is your correct equation [tex]\sqrt{320x^3} yz[/tex] or [tex]\sqrt{320x^3yz}[/tex]
Can someone explain step by step?
Sally makes $580 a week and her weekly salary is taxed 20%. How much is her weekly take home salary?
Answer:
464 dollars.
Step-by-step explanation:
Step-by-step explanation:
20/100x580
11600/100
=116
therefore, 580-116 equal 464
Sally take home salary will be $464
drag like terms onto each other to simplify fully.
22+7x+7x-4x−4x+2+2-5−5
Answer:
6x + 16 would be its simplified form.
Step-by-step explanation:
Answer:
22+2+2-5-5+7×+7×+4×+4×Draw an angle of -45 degrees in standard position . Then find the reference angle
Answer:
45°
Step-by-step explanation:
-45° would be 360°-45°=315°
Since 315° is in Quadrant IV, then its reference angle is 360°-315°=45°
So really, -45° is just 45° clockwise which is also our reference angle.
can someone please pls help me
If alex is visiting her moms house and eats a pizza that has 6 triangular pieces, how long would it take for alex’s mom to reach the moon?
Answer:
MY GuYYYY wHat Is ThIS qUeSTioN?!?!?
Step-by-step explanation: I think the answer is green btw
A circular ring has a circumference of 264 cm. What is the diameter of the ring
Answer:
84.03380995252074
Step-by-step explanation:
Diameter = C/π = 264 / π ≈ 264 / 3.141592653589793 ≈ 84.03380995252074 cm
HELP DUE IN 15 MINS!
x = ??
Answer:
x = 7Step-by-step explanation:
Intersecting secants theorem:
8*(8 + 10) = 9*(9 + x)9x + 81 = 1449x = 63x = 7Factor this polynomial completely.
x²- 64
A. (x+8)(x-8)
B. (x+64)(x-64)
C. (x-8)(x-8)
D. (x-64)(x-64)
Answer:
B. (x+64)(x-64)
Step-by-step explanation:
x²- 64 = (x) ² - (8) ² =
(x+64)(x-64)
find 2 numbers if their sum is 3/5 and their difference is 7 and 1/5
Answer:
3,and, 7
Step-by-step explanation:
this question is asked to you find that 2 Number 3 upon 5 different 7 and 1 upon 5 means 1 3 upon 5 is equal to 1 and one number is remain 3 and two number are find is 3 and 7, that is answer 3 and 7
12t^2-25t+12=0 Solve the equation for all real solutions.
Answer:
t=4/3 or 3/4
Step-by-step explanation:
12t^2-25t+12=0
(3t-4)(4t-3)=0
3t-4=0 or 4t-3=0
t=4/3 or t=3/4
in how many ways can 4 books be arranged on a shelf if there are 8 books to choose from?
Answer:
1680 ways
Step-by-step explanation:
By using the formula for permutation, which is nPr=n!/(n-r)!,
8P4=8!/(8-4)!
=8!/4!
=8×7×6×5
=1680
Or if you just want to use the multiplication rule (which is simpler).
8×7×6×5=1680
Answer:
im pretty sure its
1680
Step-by-step explanation:
Ari thinks the perfect milkshake has 333 spoonfuls of caramel for every 555 scoops of ice cream. Freeze Zone makes batches of milkshakes with 666 spoonfuls of caramel and 888 scoops of ice cream.
What will Ari think about Freeze Zone's milkshakes?
Answer:
She wont think it is perfect
Step-by-step explanation:
The ratio of Ari's perfect ice cream is
333 caramel : 555 scoops
Freeze zone ratio is
666:888
Not proportional because you multiply 333 x 2 to get 666, but when you multiply 555 x 2 you wont get 888.
And tell her to cut down on the sugar.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
A
Step-by-step explanation:
Drag each tile to the correct box.
Arrange the matrices in increasing order of their determinant values.
Answer:
Order of the Matrix will be
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
Step-by-step explanation:
Given - The matrices are -
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
To find - Arrange the matrices in increasing order of their determinant values.
Proof -
Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] is
= (2)(4) - (6)(3)
= 8 - 18
= -10
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] = -10
Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] is
= (-2)(9) - (-7)(5)
= -18 + 35
= 17
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] = 17
Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] is
= (6)(-8) - (6)(5)
= -48 - 30
= -78
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] = -78
Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] is
= (2)(-5) - (4)(5)
= -10 - 20
= -30
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] = -30
Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] is
= (2)(4) - (5)(-2)
= 8 + 10
= 18
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] = 18
Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] is
= (4)(2) - (-3)(5)
= 8 + 15
= 23
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] = 23
Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] is
= (3)(6) - (2)(4)
= 18 - 8
= 10
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] = 10
Now,
Increasing order of Determinant is -
-78 < -30 < -10 < 10 < 17 < 18 < 23
So,
Order of the Matrix will be
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
Answer:
Correct on Edmentum
Step-by-step explanation:
equivalent fractions, please help
The answer is 7/10. I hope this helps you, have a good day!
Answer:
Step-by-step explanation:
49/70 = 7/10