Find the three consecutive odd integers whose sum is 36.
Answers
Answer: No solution
Step-by-step explanation: We can start this problem in the usual way by setting up our three consecutive odd integers as followed.
X ⇒ first integer
X + 2 ⇒ second integer
X + 4 ⇒ third integer
X + (X + 2) + (X + 4) = 36
3x + 6 = 36
-6 -6
3x = 30
÷3 ÷3
X = 10
Notice however that 10 is an even number and in the original problem, we are asked to find odd integers. Even though we can work this problem all the way through, we say that this answer doesn't make sense so we say there is no solution.
Related Questions
What is the area of Figure ABCD?
a) 54 square inches
b) 60 square inches
c) 66 square inches
d) 72 square inches
Answers
what property was used to rewrite the polynomial expression
(x+5)+3(a+(6x)y) to (5+x)+3(a+(6x)y)
Answers
The commutative property is most commonly used property in maths. According the commutative property of addition changing the order of addends does not change the sum. Which means that x+5=5+x, and because of this :
(x+5)+3(a+(6x)y) = (5+x)+3(a+(6x)y)
the average adult horse needs 2/5 bale of hay each day to me dietary recommends. Oh horse farm has 44 bales of hay. How many horses can be found in one day with 44 bales of hay?
Answers
Morgan has $60 to spend on clothes. He wants to buy a pair of jeans for $25 and spend the rest on t-shirts. Each t-shirt costs $5. Which inequality represents the number of t-shirts he can purchase? x ≥ 7 x ≤ 16 x ≤ 7 x ≥ 16
Answers
= $35
If one shirt costs $5 then,
# of shirts that can be purchased = $35 ÷ $5
= 7
∴ a suitable inequality is x ≤ 7 (where x represents the number of shirts)
And this is true because if more than 7 shirts are bought, then more than $35 would be needed.
Answer:
x ≤ 7
Step-by-step explanation:
48 inches long and 24 inches wide. What is the area of the poster in square feet?
Answers
Remember that 1 foot is 12 inches. This'll come in handy later.
48 * 24 = 1152
Now, divide this by 12.
1152/12 = 96
There you go! The area of the poster is 96 square feet.
:)
the area of the poster in square feet is, 8 feet²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Length of poster = 48 inch
Width of poster = 24 inch
Since, We know that;
1 feet = 1 / 12 inch
Hence, Length of poster = 48 / 12
= 4 feet
And, Width = 24 / 12
= 2 feet
Thus, Area of poster = Length x Width
= 4 x 2
= 8 feet²
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The largest butterfly in the world is found in Papua,New Guinea.The female butterfly of the species weighs about 9/10 ounce.Use a decimal to write the female's weight.
Answers
Please help: Which conversion factors are used to multiply to 12 m/s to get kilometers per minute? Select each correct answer. 60 s/1 min 1min/60 s 1 km/1000 m 1000/m1 km
Answers
In this question, we have two unit that needed to be converted, meter/second into kilometer/minute.
First, we need to convert meter into the kilometer. One kilometer is equal to 1000 meter. To change meter into the kilometer, the unit used for multiplication should be km/1000m which is option C.
Then we need to convert second into the minute. One minute is equal to 60 seconds. To change "/second" into "/minute" the multiplication unit should be 60second/ 1 minute which was option A
Took the test and it's correct: km/1000m and 60second/ 1 minute
What is $117 in a ratio of 1:8
Answers
117: 936
if 117 is the eight:
1: 14.625
hope this helps
Write the number in expanded notation 4,408,730
Answers
(4 * 1,000,000) + (4 * 100,000) + (8 * 1000) + (7 * 100) + (3 * 10)
The place value chart can help us to write a number in expanded notation. When we put 4,408,730 into the place value chart, we can recognize that our number is equal to
4 millions + 4 hundred thousands + 0 ten thousands + 8 thousands + 7 hundreds + 3 tens + 0 units
Image is provided.
what is the radius for 439.6 circumference
Answers
So just insert 439.6 as C (the Circumference) and you'd get your answer...
evaluate this exponential expression 7*(6+2)^2-3^2
Answers
[tex]7(6 + 2) ^2 - 3^2 7(8) ^2 - 3^2 7(64) - 9 448 - 9 439[/tex]
Thus, your answer is: [tex]439[/tex]
7*(8)^2-3^2
Now, exponents:
7*64-9
Now multiply what you can:
448-9
and finally, subtract for your answer:
439
what is 8 divided by 6/7
Answers
Hope this helps! =D
hope this helps !
There are 4680 gym members in total. 3 8 are aged 25 - 59 years, 2 5 are over 60 years and the remainder are under 25 years. How many members are under 25 years?
Answers
Classify each pair of numbered angles.
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Adjacent
Linear Pair
Vertical
None
Answers
For the first one, 5 and 6 clearly do not share a side but they are made up by the same 2 lines and are opposite of each other, making them vertical.
For the next one, since the angles only share 1 line (and not a side) they can't be any of the above.
The paired numbered angles can be classified as follows:
<5 and <6 are vertical angles
<1 and <2 are none (not vertical, not adjacent, not a linear pair)
Recall the following:
Adjacent angles share a corner and a common side, but do not overlap.Linear pairs are two angles that are adjacent to each other along a straight line.Vertical angles share a common vertex but are not adjacent to each other.Therefore, from the above stated facts, we can conclude that:
<5 and <6 are vertical angles
<1 and <2 are none (not vertical, not adjacent, not a linear pair)
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One-Half cup of black provides 15% of the potassium you need daily. You must get the remaining 2890 milligrams from other sources. How many milligrams of potassium should you consume daily?
Answers
A conjecture and a portion of the flowchart proof used to prove the conjecture are shown.
Which equation best represents the information that should be in the box labeled 1?
3x = 9
3x = 26
3x = 27
3x = 30
Answers
addition property of equality, means add 1 to both sides
so 3x = 27
answer
3x = 27 (C. third choice)
Answer:
The correct option is 3.
Step-by-step explanation:
Given: [tex]\overline {PQ}\cong \overline{QR}[/tex], [tex]PQ=3x-1,QR=26[/tex].
Prove: [tex]x=9[/tex]
[tex]\overline {PQ}\cong \overline{QR}[/tex] (Given)
[tex]PQ=QR[/tex] (Segment congruent postulate)
[tex]3x-1=26[/tex] (Substitution property of equality)
Add 1 on both sides.
[tex]3x-1+1=26+1[/tex] (Addition property of equality)
[tex]3x=27[/tex]
Divide both sides by 3.
[tex]x=9[/tex] (Division property of equality)
Hence proved.
The required equation for box 1 is 3x=27.
Therefore the correct option is 3.
Write an equation in point-slope form for the line through the given point with the given slope Point: (3, -4) Slope = 6
Answers
Answer: y + 4 = 6(x - 3)
Step-by-step explanation:
The point-slope formula is y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ( [tex]x_1[/tex], [tex]y_1[/tex]) is a point on the graph.
Using the formula given above, we will plug in what we know to write our equation.
y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])
y - (-4) = (6)(x - (3))
y + 4 = 6(x - 3)
Chris needs a graphing calculator for math class. He finds a $60 model on sale for 15% off. If he decides to buy this calculator, how much will the sale price be?
Answers
Which of the following numbers is irrational?
-7/4, 2/3, square root of 3, square root of 4
Answers
-7/4 is a fraction
2/3 is a fraction
square root of 4 is plus or minus 2, whole numbers
But, square root of three can't possibly be expressed as a solid number.
Hope this helps!
Answer:
The square root of 3
Step-by-step explanation:
An irrational number can not be written as a ratio.
And because the square root of 3 is the only answer that can not be written as a ratio, it is irrational.
Therefore, The square root of 3 is Irrational.
the larger of two numbers is nine less than four times the smaller number. If the sum od the two numbers is 76, find both numbers
Answers
y = smaller number
x = 4y - 9
x + y = 76
4y - 9 + y = 76
5y = 76 + 9
5y = 85
y = 85/5
y = 17
x + y = 76
x + 17 = 76
x = 76 - 17
x = 59
ur numbers are 17 and 59
Answer:
17 and 59
Step-by-step explanation:
Let's find the answer by assuming the following:
L=larger number
S=smaller number
The first condition is: 'L' is nine less than four times 'S' but, because:
(four times 'S') is the same as 4*S then:
('L' is nine less than four times 'S') is equal to ('L' is nine less than 4*S), which means:
L+9=4*S (eq. 1)
Second condition is: the sum of the two numbers is 76, so:
L+S=76 which can be written as:
S=76-L using this relation in eq. 1 we have:
L+9=4*S
L+9=4*(76-L)
L+9=304-4L
L+4L=304-9
5L=295
L=295/5
L=59
And also we have:
L+S=76
S=76-L
S=76-59
S=17
In conclusion, the two numbers are 17 and 59.
Solve x2+4x+1=0. Please someone help me
Answers
hope this helps
Answer:
x=2+square root 3
Step-by-step explanation:
hope it helps
What is 0.61 repeating as a fraction and how did you get the answer
Answers
Answer:
the answer is 61/99
Step-by-step explanation:
pi over 7 = a over 4. a=?
Answers
The equivalent value of the expression π / 7 = a/4 is a = ( 4π/7 )
Given data:
To find the value of a when given π/7 = a/4, cross-multiplication is done and a is solved as:
When two fractions are equal, to eliminate the denominators, the cross multiplication is executed and the unknown variable is solved.
Cross-multiplying the equation:
π * 4 = 7 * a
Simplifying the equation:
4π = 7a
To solve for a, divide both sides of the equation by 7:
a = (4π) / 7
Hence, the solution of a = ( 4π/7 )
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melissa is making clothes for her dolls.She has 7/8 yard of fabric.Each doll shirt requires 2/7 of a yard of fabric.How many shirts can she make for her dolls?
Answers
Number of shirt= fabric she has / fabric needed per shirt
Number of shirt = 7/8 yard / (2/7 yard/shirt)
Number of shirt = 7/8 yard * (7/2 shirt/yard)= 49/16 shirt= 3.065 shirts.
If you round it up, it should be 3 shirts.
there are 16 sixth graders and 20 seventh graders in a club. the club wants to organize members into equal size groups. each group will only have sixth or only seventh graders.
how many students will be in each group if each group has the greatest number if club members
Answers
seventh graders can have 5 groups of 4
16 6th graders ÷ 4 = 4 groups
20 7th graders ÷ 4 = 5 groups
So, the the 6th graders will have 4 groups each with 4 people (LCM).
The 7th graders will have 5 groups each also with 4 people ( LCM).
Hope this helps!
Melissa bought 42 pine seedlings and 30 juniper seedlings
Answers
The area of a square garden is one sixteenth
1.
16 squared 2. How long is each side?
Answers
16 ft squared = 4 feet
4 times 4= 16
A square has 4 sides that are equal
Each side is 4 feet
A researcher wished to gauge public opinion on gun-control. He randomly selected 1000 people from registered voters and asked them the following question: “ Do you believe that gun control laws which restrict the ability of Americans to protect their families should be eliminated?” Identify the abuse of statistics and identify ways the researchers methods could be improved.
Answers
Answer:
Its a Loaded Question
Step-by-step explanation:
They need to re-word the question. For example, Do you believe gun control laws should eliminated?
Determine the slope between the points (-3, 0) and (0, 5)
Answers
The sum of two consecutive integers is 150. what are the two integers ?
Answers
Place it into an equation:
n + n + 1 = 150
Simplify:
2n + 1 = 150
Subtract 1 from both sides:
2n + 1 - 1 = 150 - 1
Simplify:
2n = 149
Divide by 2
n = 74.5
The numbers would have to be 74.5 and 75.5.
Hope This Helps You!
Good Luck :)
The numbers are 74.5 and 75.5
What is algebra?Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.
Given number:
150
let the consecutive number be x and x+1
Now, according to the question
x+x+ 1= 150
2x + 1 = 150
2x= 149
x= 149/2
x= 74.5
hence, the numbers are 74.5 and 75.5
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