These 4 consecutive multiples of 3 are of the form
3N, 3 (N + 1), 3 (N + 2), 3 (N + 3)
The given constraint is captured in the equation
5 (3N + 3 (N + 3)) = 13 (3 (N + 2)) - 6
Solve for N :
5 (3N + 3N + 9) = 13 (3N + 6) - 6
5 (6N + 9) = 13 (3N + 6) - 6
30N + 45 = 39N + 78 - 6
30N + 45 = 39N + 72
30N - 39N = 72 - 45
-9N = 27
N = 27/(-9)
N = -3
Then the 5 consecutive multiples of 3 are
-9, -6, -3, 0
What is the value of k in this problem: 2640 over k = 11
Why did the Ly Dynasty move the capital from Hoa Lu to Thang Long?
Step-by-step explanation:
After taking over the throne, Ly Thai To found out that Hoa Lu land was narrow and surrounded by mountains, which was not worthy of the capital of an independent nation; it was more difficult to build a prosperous country. The King thought of moving the capital
PLS HELP WILL MARK BRAINLIEST, PLS HURRY
Answer:
C IS THE ANSWER
Step-by-step explanation:
plz tell me if I am right plZ
Answer:
c
Step-by-step explanation:
2(14-9)-(17-14) and how u got the answer
Answer:
7
Step-by-step explanation:
2(14-9)-(17-14)
=2.5-3
=7
Answer:
7 or if you are taking Negatives its -21
Step-by-step explanation:
On a map, Clemonsville and Durant are
120
miles apart. How fast is a car traveling if it takes
3
hours to get from Clemonsville to Durant?
Answer:
The car is traveling at 40 mph.
This can be found by dividing 120 miles by the time of 3 hours to find the speed.
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
Find the quotient of 37.1 and 5
Answer:
7.42
Step-by-step explanation:
7 and 42 hundreths
Robinson's tapestries all measure 1.5m x 1m wide. Express the proportion of the tapestries' height to width using whole numbers
and ratio notation.
The proportion of the tapestries' height to width using whole numbers is 3:2
proportions are expressed as the ratio ratio two integers. For instance a/b is the ratio of a to b
Given the following sides it a tapestries
Width = 1m
Height = 1.5m
Taking the ratio of the height to the width is expressed as;
Ratio = 1.5 : 1
Writing as a fraction
Ratio = 1.5/1
Ratio = 1.5
Ratio = 15/10
Ratio = 3:2
Hence the proportion of the tapestries' height to width using whole numbers is 3:2
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please help ASAPPPPPPPPPPP
Answer:
Tan 0 = 21/29
Step-by-step explanation:
Use the identity sin(2θ) = 2sin(θ)cos(θ)
You have sin(θ) = 20/29
Given that θ is acute (meaning it's in the first quadrant), and, the opposite side is 20 and the hypotenuse is 29, you can calculate the adjacent side with the Pythagorean Theorem as 21. That means the cos(θ) = 21/29.
So sin(2θ) = 2(20/29) = (21/29)
The measure of an angle is 6 greater than half the measure of it’s supplement. Find the measure of the angle
Answer:
64°
Step-by-step explanation:
Set the measure of the original angle as x.
The measure of its supplement would be 180-x.
Thus,
x = 0.5 * (180-x) + 6
x = 90 - 0.5x + 6
1.5x = 96
x = 64°
The measure of angle is 64 degree.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The measure of an angle is 6 greater than half the measure of it’s supplement.
let the angle be x
supplement of x= 180- x
and, 6 greater than half the measure of it’s supplement.
x = 6 + 1/2( 180- x)
x= 6 + 90 - x/2
x+ x/2 = 96
3x/2 = 96
x= 32 x 2
x= 64
Hence, the measure of angle is 64 degree.
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Find the value of 3x
Step-by-step explanation:
If x = 90
So
= 3x
= 3 × 9
= 270°
3x = 270°
El doble de un numero al cubo menos el triple de otro al cuadrado, esta expresión a cual corresponde?
Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of side NK. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answer:
30.2
Step-by-step explanation:
56/13 = ~4.30769
7*4.30769=30.153
round up, 30.2
In a triangle, Angle B is twice as large as Angle A. Angle C is five more than
Angle B. Write and solve an equation to find the measure of Angle A.
Answer:
<A = 35 degrees
Step-by-step explanation:
<A = x
<B = 2x
<C = 2x + 5
X + 2x + 2x + 5 = 180 degrees
5x + 5 = 180
5x = 180 -5
x = 175/5
x = 35
please beo me solve the equation substitution
Answer:
[tex]\left \{ {{x=3} \atop {y=-4}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{5x + 2y =7} \atop {4x + y =8}} \right.[/tex]
[tex]\left \{ {{5x + 2y = 7} \atop {2(4x + y) = 8 x 2}} \right.[/tex]
[tex]\left \{ {{5x + 2y = 7} \atop {8x + 2y = 16}} \right.[/tex]
5x + 2y - (8x +2y) = 7 - 16
5x + 2y - 8x +2y = 7 - 16
5x - 8x = 7 - 16
x= 3
5 × 3 + 2y = 7
y = -4
Solve for equation4y+4=3x
Answer:
Step-by-step explanation:
Switch sides:
3x = 4y+4
Divide both sides by 3:
[tex]\frac{3x}{3}=\frac{4y}{3}+\frac{4}{3}[/tex]
Simplify to give:
[tex]x=\frac{4y+4}{3}[/tex]
Jared predicted that the number of mango trees, x, planted in a farm could yield y = (x + 40)² + 60 mangoes per year. What is the minimum value of trees planted per year?
a. 60
b. 70
c. 80
d. 90
Answer:
60
Step-by-step explanation:
The quadratic function tells me that the graph has a vertice at (-40, 60).
So the minimum number of mango yield per year is 60.
Howevery, i believe that there is a mistake in the question;
The quadratic function should be [tex]y = (x-40)^2 +60[/tex]
Because we cannot have negative number of mango tree.
The area of a triangle is 18 square units and the length of the base is 4 units. What is the height of the triangle?
Answer:
I think it’s 9, not sure tho
Step-by-step explanation:
Answer:
The height of the triangle is 4.5 units.
Step-by-step explanation:
The formula for AREA is: L × W/H
So, if the length of the base is 4 units, we can say that if we divide 18 by 4, we will get the missing number (The height of the triangle).
What's the difference between a ball and a sphere?
A sphere is a two-dimensional surface embedded in three-dimensional space, while a ball is the interior of a sphere (which may or may not include the sphere itself).
A sphere and ball of radius r centered at the origin are respectively described by the equation and inequality,
x² + y² + z² = r²
and
x² + y² + z² < r²
or
x² + y² + z² ≤ r²
Find the value of k , if one of the roots of the equation : 2 k x2 + 7 x + k + 1 = 0 is the multiplicative inverse of the other.
Answer:
sorry i would help but im just here to help
Step-by-step explanation:
plzz help me i really need it
Answer:
≠Step-by-step explanation:
Solving first expression... = > 5 + 9 - 2^3 = > 5 + 9 - 8 = > 6Solving second expression... = > 4^2 - 6 = > 16 - 6= > 10After Comparing both... = > 6 ≠ 10...ansHope it Helps you!!5 + 9 - 2³ ≠ 4²- 6
let's simplify the expression individually on both sides to know the comparison symbol that fits.
What are Comparison operator:Comparison operators are operators that compare values. For example >, <, ≥, ≤, ≠ etc.
Therefore,
5 + 9 - 2³ = 14 - 2³ = 14 - 8 = 64²- 6 = 16 - 6 = 106 ≠ 10
Therefore,
5 + 9 - 2³ ≠ 4²- 6
≠ means not equal to.
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An apple farm yields an average of 44 bushels of apples per tree when 24 trees are planted on an acre of ground. Each time 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest yield?
In order to get the highest yield ______ trees should be planted on an acre.
Answer:
The answer is 12, I would know because I just took it
Step-by-step explanation:
Make a conjecture about the rules these patterns follow.
1. 3, 6, 9, 12, 15
2. 9, 3, 1, 1/3, 1/9
3. a, c, e, g, i, k, m
4. 0, 5, -2, 3, -4, 1, -6
5. 4, 8, 16, 32, 64, 128
6, 0.1, 0.01, 0.001, 0.0001
Step-by-step explanation:
1) 3, 6, 9, 12, 15
6 - 3 = 9 - 6 = 12 - 9 = 15 - 2Each term is 3 more than the previous term.2) 9, 3, 1, 1/3, 1/9
3/9 = 1/3 = (1/3)/1 = (1/9)/(1/3) = 1/3Each term is 3 times less then the previous term.3) a, c, e, g, i, k, m
a = 1, c = 3, e = 5, g = 7, i = 9, k = 11, m = 13 Each letter is 2 places right from the previous letter of English alphabet4) 0, 5, -2, 3, -4, 1, -6
5 - 0 = 5, -2 - 5 = -73 - (-2) = 5, -4 - 3 = -71 - (-4) = 5, -6 - 1 = - 7Each odd numbered term is 7 less than the previous term, each even numbered term is 5 more than the previous term5) 4, 8, 16, 32, 64, 128
8/4 = 16/8 = 32/16 = 64/32 = 128/64 = 2Each term is twice the previous term6) 0.1, 0.01, 0.001, 0.0001
0.1/0.01 = 0.01/0.1 = 0.001/0.01 = 0.0001/0.001 = 0.1Each term is 10 times less than the previous termMake a conjecture about the rules these patterns follow.
1. 3, 6, 9, 12, 15
2. 9, 3, 1, 1/3, 1/9
3. a, c, e, g, i, k, m
4. 0, 5, -2, 3, -4, 1, -6
5. 4, 8, 16, 32, 64, 128
6, 0.1, 0.01, 0.001, 0.0001
If Jan can buy 10 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 20 copies at the same rate?
Answer:
Unit cost is $4 per copy and for 20 copies the charges are $80
Step-by-step explanation:
Luis placed an ad to sell his car for $5,500. After two weeks, he did not sell the car, and the newspaper suggested lowering the price 7%. What would the new price be if Luis reduced it according to the suggestion?
Answer:
$77,000
Step-by-step explanation:
2 weeks = 14 days
5,500 x 14 = 77,000
Let me know if this helps T-T
Answer:
5115
Step-by-step explanation: 5500 X 7%= 385
5500-385=5115
john bought a large pizza cut into 12 slices. he ate 3 of the slices. write the fraction of the pizza eaten in its simplest form.
if GH=7z-1 and BC=4z-3 what is GH
Answer:
-17/3
-5.666667
Step-by-step explanation:
Assuming GH≅BC
You can write this equation to represent the problem:
[tex]7z-1=4z-3[/tex]
Then, just solve for z:
[tex]7z=4z-3+1\\7z-4z=-2\\3z=-2\\z=-\frac{2}{3}[/tex]
Now, plug that back into GH:
[tex]7(-\frac{2}{3})-1\\\\-\frac{14}{3}=1\\\\-\frac{17}{3}[/tex]
Thats -17/3, or -5.666667
Kiki and 3 friends earns $16. They divide the money eqully. Then niki's mom gives her 5$. Now niki has this amount of money.
Answer:
$9
Step-by-step explanation:
so you have to divide 16 equally to the 3 friends so I drew 3 circles and I added one in each circle until I got 16
I need help pls this math equation is really hard and I have tried
Answer:
first one gas in tank second one answer a
Step-by-step explanation:
Answer:
14.25 gallons of gas left in the tank after one hour.
Step-by-step explanation:
x is time
y is gallons of gas in tank
(x,y)
(time,gallons)
(1,14.25)
(1hr,14.25gallons)
At 1 hour, there are 14.25 gallons left in the tank.
ill give brainliest!!!!!! Which expression is equivalent to 5(3d + 1) + 5d?
8d + 5
5d + 20
20d + 1
200 + 5
Answer:
20d+5
Step-by-step explanation:
5(3d + 1) + 5d
Expand the brackets,
15d+5+5d
Collect like terms;
20d+5
A cheerful teen willing to help,
listening to "Rise up"
stay salty...
EMMMEERRRGENCYY
provide working out too pls!!
10% of $55 =
30% of $900=
25% of $200=
20 x 4 - 30 =
(2 x 7) + 12 =
PLSSS HEL
