Step-by-step explanation:
a+b=41
let larger number be a and smaller be b
a=21+b
placing value of a in a+b=41
21+b+b=41
2b=41-21
b=20÷2
b=10
so a=21+10
=31
the numbers are 21 and 10.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, The sum of two numbers is 41.
let "x" be the smallest number.
Since The larger number is 21 more than the smaller number.
thus,
the larger number = 21 + smaller number
The larger number = 21 + x
Thus, sum = 41
x + 21 + x = 41
2x = 20
x = 10
So,
the Largest number = 21 + 10
Therefore, The largest number and the smallest number are 21 and 10 respectively.
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5. Determine whether the sequence is arithmetic. If so, find the common difference.
1/9, 5/9, 25/9, 125/9, 625/9,...
A. 25/9
B. 625/9
C. 5/9
D. 4/9
E. The sequence is not arithmetic.
Answer:
d mgdyhdsyii3uhf4t3h.
Convert the equation x2 + 4y2 + 2x + 24y + 21 = 0 into standard form.
Answer:
(X+1)²+4(y+3)² = (√-20)²
Step-by-step explanation:
The standard form of expressing equation ic;
(x-a)²+(y-b)² = r²
Given the expression
x²+4y²+2x+24y+21 = 0
Collect the like terms
x²+2x + 4y²+24y+21 = 0
Completing the squares
x²+2x +(2/2)² + 4(y²+6y)+21 = 0+(2/2)²
x²+2x +(2/2)² + 4(y²+6y+(6/2)²)+21 = 0+(2/2)²
x²+2x +1 + 4(y²+6y+(3)²)+21 = 0+1
x²+2x +1 + 4(y²+6y+9)+21 = 0+1
x²+2x +1 + 4y²+24y+36+21 = 0+1
x²+2x +1 + 4(y²+6y+9)+21 = 0+1
x²+2x +1 + 4(y+3)²+21 = 0+1
(X+1)²+4(y+3)² = 1 - 21
(X+1)²+4(y+3)² = -20
(X+1)²+4(y+3)² = (√-20)²
Distribute 10 (1 + 8x2).
Answer:
170
Step-by-step explanation:
8x2 is 16 plus 1 is 17 times 10 is 170. PEMDAS
Which expression represents a number that is four times as large as the sum of
8 and 160?
(160+8) :4
(160 x 8) + 4
(160 : 8) +4
(160 + 8) x4
Done
Answer:
98
Step-by-step explanation:
Answer:
(160+8)x4
Step-by-step explanation:
you just multiply 4 to the sum of 160+8, so you get the equation i put above
TRUE OR FALSE?
All square roots can be simplified to a decimal answer and still be equivalent.
THE ANSWER IS TRUE :P
Step-by-step explanation:
All the square roots can be simplified to a decimal answer and still be equivalent.
What is Square Root?Square root of a number is the value such that the value when multiplied to itself two times gives the original number.
It is denoted by the symbol √.
For example, square root of 16 is 4 since 4 × 4 = 16
We know that every number has a square root.
All the numbers does not have a perfect square root.
The perfect square roots does exists for numbers 1, 4, 9, 16, 25, .......
All the other numbers in between has the square roots which are decimal numbers.
Hence, all square roots can be simplified to a decimal answer and still be equivalent.
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Kendall is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is
12 meters and the diagonal from one corner to the opposite corner is 15 meters.
How much garland will Kendall need for the length of the ceiling?
Step-by-step explanation:
What is the quotient of 1.888\times 10^91.888×10 9 and 5.9 \times 10^65.9×10 6 expressed in scientific notation?
Given:
The expressions are [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex].
To find:
The quotient of [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex] expressed in scientific notation.
Solution:
Quotient of [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex] is:
[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=\dfrac{1.888}{5.9}\times \dfrac{10^9}{10^6}[/tex]
[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=0.32\times 10^{9-6}[/tex]
[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=0.32\times 10^{3}[/tex]
In the scientific notation, the first number is between 1 to 10. So, 0.32 can be written as [tex]\dfrac{3.2}{10}[/tex].
[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=\dfrac{3.2}{10}\times 10^{3}[/tex]
[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=3.2\times 10^{3-1}[/tex]
[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=3.2\times 10^{2}[/tex]
Therefore, the value of the quotient is [tex]3.2\times 10^{2}[/tex].
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y + 2 = 6(x+6)
Given:
The equation is:
[tex]y+2=6(x+6)[/tex]
To find:
The given equation in the form of [tex]Ax+By=C[/tex], where A, B, C are integers.
Solution:
We have,
[tex]y+2=6(x+6)[/tex]
It can be rewritten as:
[tex]y+2=6x+36[/tex]
[tex]y-6x=36-2[/tex]
[tex]-6x+y=34[/tex]
The above equation is in the form of [tex]Ax+By=C[/tex], where [tex]A=-6,B=1[/tex] and [tex]C=34[/tex].
Therefore, the requires equation is [tex]-6x+y=34[/tex].
Use the compound interest formula to determine the final value of the given amount.
$150 at 3% compounded daily for 16 years.
The final value is $ ?
Answer:
342.22$
Step-by-step explanation:
find the length of the hypotenuse in the picture plz
Answer: 15
Step-by-step explanation:
Uh plz help ;-;
Plzzzzz
Answer:
B)
the (8+7) x (10 + 7) x (6 + 4)
Step-by-step explanation:
Answer:
D- (8×10×6) + (7×7×4)
Step-by-step explanation:
The formula for volume is Length×Width×Height.
So you have to find the volume for each one individually then add them up together.
(You can give the other person brainliest if u want.)
Hope it Helps!:)
Right triangle ABC is shown. Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.
Question:
Obtian the equation that can be used to solve for c
Answer:
Sin50 = 3/c
Step-by-step explanation:
A triangle showing the information given has been attached below for clarity :
Using trigonometry :
AC = 3 = opposite side of angle 50°
AB = c = hypotenus
Using the sine relation of a right angled triangle :
Sin θ = opposite / hypotenus
θ = 50°
Sin 50° = 3 / c
Sin50 = 3/c
A butcher purchases 50 chicks at the rate of Ts.60 per chick.10 of them died and he sold remaining chicks at the rate of Rs.80 per chick. Find profit or loss percentage.
Answer: 6.25%
Step-by-step explanation:
50 chicks were purchased at Rs. 60. The total cost of the chicks is:
= 50 * 60
= Rs. 3,000
10 of the chicks died which means the farmer was left with 40 chicks.
These chicks are sold at Rs. 80. Total revenue from the sales are:
= 40 chicks * 80
= Rs. 3,200
The profit is:
= 3,200 - 3,000
= Rs. 200
The percentage is:
= Profit / Revenue
= 200 / 3,200
= 6.25%
Solve for x in the diagram below.
Answer:
x = 9
Step-by-step explanation:
The parallel lines divide the sides of the triangle in proportion, that is
[tex]\frac{20-8}{x}[/tex] = [tex]\frac{8}{6}[/tex]
[tex]\frac{12}{x}[/tex] = [tex]\frac{8}{6}[/tex] ( cross- multiply )
8x = 72 ( divide both sides by 8 )
x = 9
Sarah has 11 ¼ lb of dry dog food. She will put an equal amount of food into 3 containers. How much food will be in each container?
Answer:
3 3/4 lb
Step-by-step explanation:
11 ¼ lb ÷ 3
11 ¼ lb x [tex]\frac{1}{3}[/tex]
convert 11 ¼ lb to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
[tex]\frac{45}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{15}{4}[/tex] = 3 3/4 lb
A polygon's measurement(s) include which of the following?
Check all that apply.
A. Height
B. None of these
C. Length
D. Width
Answer:
Length and Width
Step-by-step explanation:
I took the A P E X quiz
A polygon's measurement includes Length and Width, That is option c and d.
What is Polygon?
A Polygon is a closed figure made up of lines segments (not curves) in two-dimensions. A minimum of three line segments are required for making a closed figure, thus a polygon with a minimum of three sides is known as Triangle.
Polygon has a plain 2D shape which has minimum 3 sides.
polygon not has curve lines.
Polygon is not 3D shape figure, so height is not a measurement of polygon.
Hence, Length and Width is the measurement of polygon
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The bearing of ships A and B from a port are 225degree and 116 degree respectively ship A is 3.9km from ship B on a bearing of 258 degree calculate the distance of ship A from Port p
Answer:
Distance of A from P = 2.55 Kilometers
Step-by-step explanation:
Find the attached solution
A number has a remainder of 1 when divided by 4 a remainder of 2 when divided by 5 and a remainder of 3 when divided by 6. What is the smallest number that has the above properties?
Answer:
Smallest number with the properties in the question = 57
Step-by-step explanation:
Let's first find the LCM of the three numbers which it is divided by which are 4,5,6.
LCM of 4,5 and 6 is 60.
We are told that;
The number has a remainder of 1 when divided by 4
The number has a remainder of 2 when divided by 5
The number has a remainder of 3 when divided by 6
In all 3 cases, the difference between the divisor and the remainder is 3.
This means that the smallest number in that has the properties in the question must be; 60 - 3 = 57
Find the student’s error in solving the following inequality.
31 < –5x + 6
25 < –5x
–5 < x
The student should have added 6 to both sides instead of subtracting it.
The student divided 25/–5 incorrectly.
The student should have switched the direction of the inequality sign to get –5> x for a final answer.
Answer:
The student should have switched the direction of the inequality sign to
get –5 > x for a final answer.
Step-by-step explanation:
When multiplying or dividing an inequality by a negative "flip" the inequality sign
The student should have switched the direction of the inequality sign to
get –5 > x for a final answer.
---------------
Note:
For a more conventional appearance the entire inequality can be flipped to
–5 < x
Can someone help me pla
What is the length of the missing leg?
which Is the correct answer? ( links = report )
Answer: B
Step-by-step explanation: Hope this help :D
A line passes through the points (0, 7) and (2, 3). Given this information, complete the equation below (y= mx+b) by determine the slope and y-intercept.
Answer:
y = -2x + 7
Step-by-step explanation:
Given: (0, 7) and (2, 3)
Using the slope-intercept formula: y2-y1/x2-x1
3-7/2-0 = -4/2 = -2
Y-intercept:
Use y= mx + b to find the y-intercept (b). For this, I will be using the coordinates (2, 3). Plug 2 into x and 3 into y, then solve.
3 = -2(2) + b
3 = -4 + b
7 = b
Form the equation together:
y = -2x + 7
in the adjoining figure ABC is right angled and triangle and B C D E is a rectangle .if ed= 24 cm then a triangle ∆ABC= 45 cm and BC = 7 cm find the length of ad
Answer:
Step-by-step explanation:
2
an square has an area of 54 sq in . the length of each side is the same but not a whole number
Answer:
Answer = 13.5
Step-by-step explanation:
A square has 4 sides
54 / 4 = 13.5
The side of the square will be 7.34 inches.
What is an area?A square is a quadrilateral having all the sides equal to each other and the sum of the angles will be 360 degrees. The area is defined as the space occupied by the shape in a two-dimensional plane.
Given that a square has an area of 54 sq in . the length of each side is the same.
The side of the square will be calculated as below:-
Area of square = Side²
54 = Side²
Side = √54
Side = 7.34 inches.
Therefore, the side of the square will be 7.34 inches.
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Giving brainlist to whoever answers
Answer:
-5
Hope this helps!
Answer:
c
Step-by-step explanation:
1. Round 9.39 to the nearest whole number
2. what is the value of the expression 4^3+9 times 6
Answer:
Step-by-step explanation:
1. The digits 39 are less than 50. Round 9.39 to 9 (nearest whole number).
2. 4^3+9 times 6 This is an order-of-operations problem. We must do exponentiation before multiplication and division, and addition and subtraction must follow multiplication and division.
4^3 = 64, so we have 64 + 9(6).
Must do multiplication before addition: 64 + 54 = 118
help me with this math question please I'm giving away brainliests
Answer:
Horiz asym y=-4/5
Vertical asym x=0
x intercept (5,0)
y intercept : none
Step-by-step explanation:
PLEASE HELP!!!!!!! NO LINKS I will report links
Answer:
Not sure but I think
Surface area = 46
Volume = 4 2/3
if a dog weighs 55 pounds how many kilograms would it weigh
Answer:
24.9475803
Step-by-step explanation: