Solve::::::::::::::::
\( \sf \: 3(y + 3) - 10 = 2y + 1\)
Answers
Solution:
3(y + 3) - 10 = 2y + 1
Let us first multiply 3 and (y + 3).or, 3y + 9 - 10 = 2y + 1
Now, transpose the value of 2y to the left hand side and 9 and -10 to the right hand side.or, 3y - 2y = 1 - 9 + 10
Do the addition and subtraction.or, y = 2
So, we have got the value of y.Verification:
LHS
= 3 (2 + 3) - 10
= 3 (5) - 10
= 15 - 10
= 5
RHS
= 2 (2) + 1
= 4 + 1
= 5
So, LHS = RHS [verified]
Answer:
y = 2
Hope you could understand.
If you have any query, feel free to ask.
Related Questions
i need help with this question!
Answers
Answer:
the second one
85° = 2x+10+4x-15
85° = 6x-5
90° = 6x
x = 15°
BOC = 2×15° + 10 = 40°
AOB = 4×15° - 15 = 45°
........
Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.
Answers
The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).
To find an ordered triple representing \(3u - 2v\),
where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),
we can perform the following operations:
\(3u = 3(5, -2, 3)\)
\(3u = (15, -6, 9)\)
\(2v = 2(1, 1, 2)\)
\(2v = (2, 2, 4)\)
Now, subtracting 2v from 3u gives:
\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)
\(3u - 2v = (15-2, -6-2, 9-4)\)
\(3u - 2v = (13, -8, 5)\)
Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).
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multiplication between exponentiation number 648
Answers
Answer:
648 is the sum of consecutive prime numbers 317 and 331.
The sixth root of 648 begins with 2.941682753. Notice all the digits from 1 to 9 appear somewhere in those nine decimal places. OEIS.org states that 648 is the smallest number that can make that claim.
From Archimedes-lab.org I learned some powerful facts about the number 648:
16² – 17² + 18² – 19² + 20² – 21² +22² – 23² + 24² – 25² + 26² – 27² + 28² – 29² + 30² – 31² + 32² = 648
48² – 47² + 46² – 45² + 44² – 43² +42² – 41² + 40² – 39² + 38² – 37² + 36² – 35² + 34² – 33² = 648
(1^2)(2^3)(3^4) = 648
18² + 18² = 648
(6^3) + (6^3) + (6^3) =648
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Print the puzzles or type the solution on this excel file: 10 Factors 2015-10-12
—————————————————————————————————
648 is a composite number.
Prime factorization: 648 = 2 x 2 x 2 x 3 x 3 x 3 x 3, which can be written 648 = (2^3) x (3^4)
The exponents in the prime factorization are 3 and 4. Adding one to each and multiplying we get (3 + 1)(4 + 1) = 4 x 5 = 20. Therefore 648 has exactly 20 factors.
Factors of 648: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Factor pairs: 648 = 1 x 648, 2 x 324, 3 x 216, 4 x 162, 6 x 108, 8 x 81, 9 x 72, 12 x 54, 18 x 36, or 24 x 27
Taking the factor pair with the largest square number factor, we get √648 = (√324)(√2) = 18√2 ≈ 25.455844122…
What is the probability ether event will occur?
Answers
Answer:
P(A or B) = 1 - P(neither A nor B)
= 1 - 18/66 = 48/66 = 8/11
= .727 = 72.7%
if the exterior angle of a regular polygon is 15 degrees, find its central angle?
Answers
The measure of each central angle in the regular polygon is 165 degrees.
what is angle?
The vertex of the angle, which is created by the intersection of two rays, is a geometric object known as an angle. The two rays that make up the angle are referred to as its sides or its arms. An angle's measurement is the amount of rotation required to align one of its sides with the other side by rotating one of its sides around the vertex.
According to the given information:
In a regular polygon, all exterior angles have the same measure and all interior angles have the same measure.
The exterior angle of a regular polygon is the angle formed by extending one of its sides and the adjacent side.
For any regular polygon with n sides, the measure of each exterior angle is given by:
360 degrees / n
In this case, we know that the measure of each exterior angle is 15 degrees. So we can set up an equation:
360 degrees / n = 15 degrees
Multiplying both sides by n, we get:
360 degrees = 15 degrees * n
Dividing both sides by 15 degrees, we get:
n = 360 degrees / 15 degrees = 24
Therefore, the regular polygon has 24 sides.
To find the measure of each central angle, we can use the formula:
central angle = 180 degrees - (exterior angle)
In this case, the exterior angle is 15 degrees, so the central angle is:
central angle = 180 degrees - 15 degrees = 165 degrees
So the measure of each central angle in the regular polygon is 165 degrees.
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What is the value of x?
Answers
Answer:
4.666666667
or
4 2/3
Step-by-step explanation:
we know side AB is like DE and side BC is like side EF so i use ratios to compare the 2
6/4=7/x
cross multiply
6x=4(7)
6x=28
/6. /6
x=4.66666666666666 or 4 2/3
hopes this helps
What is the area of figure?
A. 56 square meters
B. 80 square meters
C. 120 square meters
D. 136 square meters
E. 152 square meters
(quiz help )
Answers
Answer:
D
Step-by-step explanation:
8×16=128
2×4=8
128+8=136m^2
answer: D
Find the length of a segment in the coordinate plane with endpoints (-4,-5) and (8, 1).
Answers
Answer:
Step-by-step explanation:
d = 13.416408
For:
(X1, Y1) = (-4, -5)
(X2, Y2) = (8, 1)
Answer:
L = 9.49 units
Step-by-step explanation:
From the 1st point to the 2nd, x changes by 12; from the 1st to the 2nd, y changes (increases) by 6. These results (12 and 6) represent the leg length of a right triangle whose diagonal length we wish to calculate using the Pythagorean Theorem:
12^2 = 144 and 6^2 = 36.
Combining these results in the length of the diagonal:
L = √(144 + 36) = √180 = 13.42 units using the Pythagorean Theorem
Rounding off, we get L = 9.49 units
Can someone plz help me solved this problem I need help ASAP plz help me! Will mark you as brainiest!
Answers
Answer:
2 & 8
-4 & -4
Step-by-step explanation:
x and y are the numbers, as per question:
x= 4+2y and xy= 16
y(4+2y)= 162y²+4y=16y²+2y - 8= 0y²+2y+1 =9(y+1)²=9y+1=3 ⇒ y= 2 ⇒ x= 4+2*2= 8y+1= -3 ⇒ y= -4 ⇒ x= 4+2*(-4)= -4what is this please help
Answers
Answer:
-20
Step-by-step explanation:
Simplify the real and imaginary parts of the expression.
Please help solve for the median !!
Answers
Answer:
Median = 14
Step-by-step explanation:
2, 5, 14, 15, 21, 18, 15, 9, 2
First, order the numbers:
2, 2, 5, 9, 14, 15, 15, 18, 21
Then, cancel out the numbers, starting the first and last number, going outwards in. If there is 1 number left, it is your median. If there are 2 left, add the 2 numbers together and divide them by two:
2, 2, 5, 9, 14, 15, 15, 18, 21
2, 5, 9, 14, 15, 15, 18
5, 9, 14, 15, 15
9, 14, 15
14
The median is 14.
Please tell me if I was wrong! I hope this helps you!
Answer: The median is 14
Step-by-step explanation: The median is the number that is halfway into the data set. To find the median, the data should be arranged in order from least to greatest. For this example. 2,2,5,9,14,15,15,18,21. Find the number that is halfway. which is 14
c. Divide 45 into three parts which are in A.P. Such that the pr oduct of last two is 300.
Answers
⟹3a=45
a=15
a(a+b)=300
⟹15(15+b)=300
⟹225+15b=300
⟹15b=300−225
⟹15b15=7515
b=5
a−b=10⟹a=15⟹a+b=20
The three numbers are 10, 15, and 20.
Proof:
10+15+20=45✓
Can someone please help awnser these.
Answers
The answers are 4. a) 15.7 cm, b) 26.25 m, 5. a) 128.74 cm, b) 40.82 mm, c) 45 cm and 6. 777.28 cm
Given are the circles and the circular items we need to find their circumference,
Circumference of a circle = 2π × radius = Diameter × π
4. a) Circumference = 5 × 3.14 = 15.7 cm
b) Circumference = 8.36 × 3.14 = 26.25 m
5. a) Circumference = 41 × 3.14 = 128.74 cm
b) Circumference = 13 × 3.14 = 40.82 mm
c) Circumference = 14.3 × 3.14 = 45 cm
6.
The perimeter of the cloth = circumference of the circular ends plus length in the middle,
= 76 × 2 × 3.14 + 150 × 2
= 477.28 + 300
= 777.28 cm
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William Oughtred is most famous not for his mathematical discoveries, but rather for introducing two mathematical symbols. What are they?
Answers
The two mathematical symbols that William Oughtred introduced are "×" for multiplication and "::" for proportion.
Given is a statement about William Oughtred.
William Oughtred is most famous not for his mathematical discoveries, but rather for introducing two mathematical symbols.
We have to find those symbols.
William Oughtred is actually an English priest who basically teaches the students in mathematics subject.
He did invent other famous things like slide rule.
But the most famous invention of him is two mathematical symbols which are "×" for multiplication and "::" for proportion which are still widely used symbols.
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A website has a 24-hour sale offering 12% off all purchases.
Dina buys a sweatshirt in the sale.
She pays £24.20 for the sweatshirt.
Calculate the original price of the sweatshirt.
Answers
Answer:
the given 24.20 is not the discount so we have to subtract it by 100%
I'M GIVING OUT BRAINEST!!!
Line m has a slope of -5. What is the slope of a line parallel to line m?
Answers
Answer: -5
Step-by-step explanation:
parallel lines have equal/same slope
Elle wants to order candy online. Company A is offering 2.5 pounds of chocolate for $32.50, while Company B is offering 2.75 pounds of the same chocolate for $35.00. Which company is offering the lowest price per pound?
Answers
- Company A sells 2 1/2lbs (2.5lbs) for $32.50
So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb
- Company B sells 2 3/4lbs (2.75lbs) for $35.00
And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb
Therefore, Company B is offering the lowest price/lb at $12.73/lb.
Here are a few pairs of positive numbers whose sum is 34. (3 pts)
a. Find the product of each pair of numbers.
First
Number
1
4
8
14
Second
Number
33
30
26
20
b. Which pair of numbers that have a sum of 34 will produce the largest possible
product? What is that product?
Answers
Answer: 280
Step-by-step explanation:
The products of each pair of numbers are:
1 x 33 = 33
4 x 30 = 120
8 x 26 = 208
14 x 20 = 280
b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).
The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.
Translate to an algebraic equation
5 less than one-half x is fifteen.
Answers
5<1/2x=15
What is the value of x when y equals 66?
y=0.985897x+0.194185
Answers
Answer:
x = 66.74715005725
Step-by-step explanation:
First you bring over the added variable. 0.194185, and subtract it from 66. Then you divide your difference by 0.985897. This gives you 66.74715005725
Which equation can be used to find the area in square feet of the piece of glass?
Answers
Answer:
Area = length x width (in feet)
Step-by-step explanation:
The area of a 2-dimensional shape can be found by multiplying its length by its width. The equation to find the area of a rectangle is:
Area = length x width
So if you know the length and width of a piece of glass in feet, you can use the above equation to find its area in square feet. For example, if the length of the glass is 10 feet and the width is 5 feet, the area would be:
Area = 10 feet x 5 feet = 50 square feet
So the equation to find the area of a piece of glass in square feet is:
Area = length x width (in feet)
It's worth noting that this equation applies to any 2-dimensional shape that has a length and a width, not just a rectangle.
Simplify the following expressions by using the properties of exponents. Assume none of the denominators is zero.
a^3 (2a^2 + 4bc^4)^ 0
Answers
The total value of the exponential expression is a³
What is Exponentiation ?
Exponentiation is a mathematical operation that involves the base number (b) and the exponent (or power) number (n), and is represented as bⁿ. Its pronunciation is "b (raised) to the (power of) n." Exponentiation corresponds to repeated base multiplication where n is a positive integer; so, bⁿ is the result of multiplying n bases.
Now, The given expression is :
a^3 (2a^2 + 4bc^4)^ 0
From the properties of exponents we know that:
a⁰ = 1
Therefore the value of the part of the expression (2a² + 4bc⁴)⁰ is 1
Hence, The total value of the exponential expression is a³
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Solve all this
1) 2x-8=11x-10
2)6x-6=3x+1
3)1/2x+4=1/3x+1
4)-2/5x+1/3=1/2x+1/4
5)5/3x2=1/2x-2/3
Answers
Answer: hii :)
1. 2x-8=11x-10 = 2/9
2. 6x-6=3x+1 = 7/3
3. 1/2x+4=1/3x+1 = -18
4. -2/5x+1/3=1/2x+1/4 = 5/54
5. I dont know the answer to <3
Step-by-step explanation:
Hopefully this helps you,
Sorry for being late on the question.
- Matthew
Cara loves coffee. She has a Coffee Club card that has $80 on it. She buys a large cup each day that costs $2.50. Which of the following inequalities and solution set determine how many days, d, her Coffee Club card will last.
Answers
2.5d ≤ 80
d ≤ 160 / 5
d ≤ 32
card will last 32 days
how would someone use the cross product property on an equation with 3 different values instead of two? I provided an example image
Answers
Using the cross product for the proff of Pythagoras theorem, the correct step is
By the cross product property, AB² = BC multiplied by BD
What is cross product propertyThe cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).
For the similar triangles, the ratio is as follows
BD / BA = BA / BC
BA² = BD * BC
and AB = BA, hence
BA² = BD * BC
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Can someone please help me
Answers
Answer:
the constanst is everytime have and⭐
Solve the inequality for w.
w+7<20
Simplify your answer as much as possible.
0
Answers
Answer:
w<13
Step-by-step explanation:
Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.
Answer:
w < 1`3
Step-by-step explanation:
Isolate the variable w on one side of the inequality sign.
w+7<20
w<20 - 7
w<13.
Masha bought red, green, and yellow balloons for a party. She bought 40 red balloons. The number of green balloons Masha 3 bought is of the number of red balloons. The number of green 5
balloons is also 2 3 of the number of yellow balloons.
How many balloons did Masha buy for the party?
Answers
Answer:
its 100 ez bro
Step-by-step explanation:
Answer: 100 balloons
Step-by-step explanation:
because it is 100 balloons
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it.
Answers
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.
The given statement is true.
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You play a game in which two dice are rolled. If a sum of 7 appears, you win ten dollars; otherwise, you lose two. If you intend to play this game for a long time, should you expect to make money, lose money, or come out about even? Explain.
Answers
Answer:
Come out even
Step-by-step explanation:
The total numbers of faces in rolling two dice = 6 X 6 = 36
The sum of appears in the following cases: {6, 1}, {1, 6}, {2, 5}, {5, 2}, (3, 4}, {4, 3}. Making a total of 6 cases
Probability of obtaining a sum of 7 = possible number of cases where the sum of 7 appears ÷ total number of outcome
= 6/36 = 1/6
Probability of not obtaining a sum of 7 = 1 - Probability of obtaining a sum of 7
= 1 - 1/6
= 5/6
Expected Value: (1/6)10 + (5/6)(-2) = (10-10)/6 = 0
So the answer is come out even