The three consecutive odd integers : 7, 9, 11
Further explanation
Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
• 1. phrases
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
• 2. variable
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
• 3. constants
is a fixed value, can be a number
• 4. arithmetic operations
+ , - , : , x
integer number: numbers consist of positive, negative and 0 numbers
Odd number: Any integer that cannot be divided by 2.
The last digit is 1, 3, 5, 7 or 9
Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers
Then consecutive odd numbers can be symbolized:
x, x + 2, x + 4, x + 6, x + 8, etc.
For example, 3 consecutive odd numbers are:
x + 4, x + 6, x + 8
the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:
(x + 8) + 2 (x + 4) = 25
So the solution:
x + 8 + 2x + 8 = 25
3x + 16 = 25
3x = 9
x = 3
So the smallest number is:
= x + 4
= 3 + 4
= 7
or
Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.
Answer:
The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
Step-by-step explanation:
The problem asks to use x to represent the smallest of the three integers.
Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.
Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.
The three odd integers are
x, x + 2, x + 4
The problem then states "the sum of the largest and twice the smallest is 25."
The largest one is x + 4.
Twice the smallest is 2x.
Their sum is 2x + x + 4.
That sum equals 25.
2x + x + 4 = 25
3x + 4 = 25
3x = 21
x = 7
The smallest integer is 7.
Then x + 2 = 7 + 2 = 9,
and x + 4 = 7 + 4 = 11.
Answer: The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
help me i’m in need
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Example: (View attached image below). Table A is a function because each x value has only 1 y value. But Table B is not a function because the x value of 4 has 2 y values.
Answer:
D No, because on x values corresponds to two different y values
Step-by-step explanation:
This is not a function because an input has two different outputs
x=5 has two different y values
Which sentence would be a good counter example to this statement ?
A line can exist in only one plane.
A. A line intersects one plane and the another.
B. A line is to one plane at a time.
C. A line that is Coplanar exists in more than one place.
D. A line is he intersection of two planes
Please help I need help with this
Answer:
The answer is "Option D".
Step-by-step explanation:
A line is a horizontal 1D-dimensional representation without any thickness and extends in every way. It sometimes is also known as the straight line. The line, which connects two planes lies simultaneously on both planes, that's why in this question only "option D" is correct.
Answer:
D>
Step-by-step explanation:
Five of Teddy’s six cousins can
do 15 push-ups in one set. Which
decimal is equivalent to the fraction
of Teddy’s cousins who can do
15 push-ups?
Answer: 0.83
Step-by-step explanation:
The fraction of Teddy's cousins what can do push-ups is [tex]\frac{5}{6}[/tex]. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.
[tex]\frac{5}{6} =0.83[/tex]
Answer:
0.83 with the 3 as the repeating number (3 with the line over it)
Step-by-step explanation:
5 divided by 6
Applying the translation (x, y) → (x – 3, y + 7) maps the point (–4, 7) onto the point ________. Question 16 options: A) (–7, 14) B) (14, –7) C) (7, –14) D) (14, 7)
Answer:
A
Step-by-step explanation:
(-4-3, 7+7)
(-7, 14)
Answer: A
Step-by-step explanation:
For question 25 please pick 1,2,3 or 4
Answer:
4.
[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]
Step-by-step explanation:
[tex]18x^2-24x+87=0[/tex]
Using Quadratic Formula
[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]
[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]
Solving the discriminant:
[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]
[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]
[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]
Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]
[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]
Dividing the denominator and numerator by 6
[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]
Now rewrite it:
[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]
[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]
or
[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]
Consider the function and its inverse. and When comparing the functions using the equations, which conclusion can be made? The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≥ 0. The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≤ 0. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≥ 4. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≤ 4.
Answer:
It’s actually C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A local car dealer has 150 cars on the lot. 30% of the cars are sedans. How many of the cars are NOT sedans?
Answer:
105 cars
Step-by-step explanation:
150cars=100%
and if 30% of the cars are sedans then the cars which are not sedans is
100%-30% =70%
if 150 cars=100%
? cars=70%
if less more devides
70%/100%×150cars
all zeros cancel which would be left with
7× 15
105 cars.
Answer:
The answer is 105
So that 30% of those cars are 45 Sedans of the 150 cars.
Now we need to find out how many cars are in that remaining 70%
In order to do this we need to subtract 45 from 150
So 150 minus 45 is 105
Finally, we know that that remaining 70% is 105 cars that aren't Sedans.
So 105 cars are not Sedans.
HURRY HELP PLEASE THANKS
Solve the equation. Don't forget to first simplify each side of the equation, if possible. Check each solution.
[tex]\frac{2}{3}x+1=-\frac{1}{3}x+9[/tex]
Answer:
x = 8
Step-by-step explanation:
Add [tex]\frac{1}{3}x[/tex] to both sides.
x + 1 = 9
Subtract one on both sides.
x = 8
Answer:
x = 8
Step-by-step explanation:
2/3x + 1 = -1/3x + 9
x + 1 = 9
x = 8
this is khan academy and i need it fast thx
Answer:
C
Step-by-step explanation:
The angles are supplementary because all the angles add up to 180 and they form a straight line together.
x2+3x-4=0. Find a=, b=, and c=. thank you:)
Answer:
a=1 b=3 c=-4
Step-by-step explanation:
using almighty formular
a=1 b=3 c= - 4
Which statement is true about the right angles ABC and DEF
Use the distributive property to write the following expression without parentheses.
-3/5(20x-20y)
Answer:
-12x+12y
Step-by-step explanation:
[tex]-\dfrac{3}{5}(20x-20y)=\\\\-\dfrac{3}{5}(20x)+-\dfrac{3}{5}(-20y)=\\\\-12x+12y[/tex]
Hope this helps!
Answer:
[tex]-12x+12y[/tex]
Step-by-step explanation:
We have the following expression:
[tex]-\frac{3}{5} (20x-20y)[/tex]
TO remove the parenthesis, we need to multiply each term within them by each term on the outside of the parenthesis. Then, we can simplify our answer..
[tex](-\frac{3}{5} )(20x)-(-\frac{3}{5} )(20y)\\\\-12x+12y[/tex]
pls help fast this is khan academy
Answer:
A
Step-by-step explanation:
The two angles given are vertical angles because they are opposite of each other
Hey!!
<a and <b are vertically opposite angles.
Vertically opposite angles are always equal.
Hope it helps..
Good luck on your assignment
The ratio of the measurement of an angle to its supplement is 3:5. Find the measurement of the angle and its supplement.
-7th grade math
Answer:
The measurements of the two angles are 67.5° and 112.5°
Step-by-step explanation:
We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.
3x + 5x = 180
Combine like terms.
8x = 180
Divide 180 by 8.
x = 22.5
Now, we plug in x to 3 and 5.
3 * 22.5 = 67.5
5 * 22.5 = 112.5
Just to make sure our work is correct, let's add these numbers together.
67.5 + 112.5 = 180
The measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
What is supplementary angle?When the sum of the two angle are equal to the 180 degrees, then these angles are called the supplementary angle of each other.
The ratio of the measurement of an angle to its supplement is 3:5. Let, the ratio,
[tex]\dfrac{3}{5}=x[/tex]
As, these angles are supplementary to each other. Thus,
[tex]3x+5x=180\\8x=180\\\x=\dfrac{180}{8}\\x=22.5[/tex]
Thus, the measurement of the angle is,
[tex]3x=3\times22.5\\3x=67.5[/tex]
The measurement of the supplement of the angle is,
[tex]5x=5\times22.5\\5x=112.5^o[/tex]
Hence, the measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
Learn more about the supplementary angle here;
https://brainly.com/question/12919120
What would be the answer? I said 46.
Answer:
84
Step-by-step explanation:
We can represent the money Emily has as x, and the money Juan as j.
x = j + 19
Substituting 65 for j we get
x = 65 + 19
x = 84
1. Using the figure below, what is the measure of angle ABE?
Answer:
The angle of ∠ABE is 40°.
Step-by-step explanation:
Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.
Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.
please mark me brainliest :)
Does the point (4, 0) satisfy the equation y = –5x + 4?
Answer:
no
Step-by-step explanation:
y = –5x + 4
Substitute the point into the equation
0 = -5(4) +4
0 = -20+4
0 = -16
This is not true so it is not a solution to the equation
A sloth is climbing down a tree at a constant speed. The sloths height changes by -55 feet in 11 minutes. Which expression represents change in the sloths height each minute?
-55•(-11)
-55•11
-55 divided by 11
-55 divided by (-11)
Which equation can be used to find the measure of angle LKJ?
cos−1(StartFraction 8.9 Over 10.9 EndFraction) = x
cos−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Answer:
fourth option
Step-by-step explanation:
Using the sine ratio in the right triangle.
sin JKL = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{KJ}[/tex] = [tex]\frac{8.9}{10.9}[/tex] , thus
x = [tex]sin^{-1}[/tex] ([tex]\frac{8.9}{10.9}[/tex] )
Answer:
D. [tex]sin^{-1} (\frac{8.9}{10.9} ) = x[/tex]
Step-by-step explanation:
Sin is used to find the side length of a right triangle using angle degrees. However, this is using the inverse. The ratios are still the same, though.
sin(x) = 8.9/10.9 because it is the opposite side's length over the hypotenuse length. Making it the inverse would make it D.
what are the factors of -24x^3y^2z
a) 8
b) -8
c) x^5
d) z^2
Answer:
B
Step-by-step explanation:
951/3 i dont under stand
Answer:
317 IS THE ANSWER
Step-by-step explanation:
The right answer is 317
please see the attached picture for full solution.
hope it helps
good luck on your assignment
Find the rate of change for each linear function
decrease of 22 m/min
Decrease of 22 min/m
Increase of 22 m/min
Decrease of 20 m/mm
Answer:
Answer = decrease of 22 m/min
Algebraically find the roots of the quadratic equation: w2 + 8w+ 15 = 0
(HINT: You may factor or use the quadratic formula)
Answer:
w = - 5, w = - 3
Step-by-step explanation:
Given
w² + 8w + 15 = 0
Consider the factors of the constant term (+ 15) which sum to give the coefficient of the w- term (+ 8)
The factors are + 5 and + 3 , since
5 × 3 = 15 and 5 + 3 = 8 , thus
(w + 5)(w + 3) = 0 ← in factored form
Equate each factor to zero and solve for w
w + 5 = 0 ⇒ w = - 5
w + 3 = 0 ⇒ w = - 3
Sarah is making lemonade where she adds 2 parts lemon juice to 3 parts water.
a. Write the ratio of lemon juice to water as a fraction and in ratio form.
b. Sarah has 1 1/2 cups of lemon juice, write and solve a proportion to find out how much water she needs.
c. Write and solve a proportion to find out how much lemon juice she should add to 9 cups of water.
d. What percent of the lemonade is lemon juice? What percent is water?
e. She makes the lemonade, but her friend complains that it is too weak. Write a ratio of lemon juice to water that may fix the problem
f. Does Sarah need more lemon juice than water to make it stronger?
Answer:
a. 2/5 and 2:3
b.
c. 6
d. 40% and 60%
Step-by-step explanation:
a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is: 2.25 cups
c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups
d) 40% of the lemonade is lemon juice, and 60% is water.
e) She should increase the ratio to 3:2
f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
How to solve Ratio Problems?a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is solved as:
1¹/₂ cups of lemon / water = 2/3
³/₂ cups of lemon / water = 2/3
Cross multiply to get:
water = 9/4
water = 2.25 cups
c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:
lemon juice / 9 = 2/3
Cross multiply to get:
lemon juice = 18 / 3
lemon juice = 6 cups
d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:
Lemon juice: (2/5) * 100% = 40%
Water: (3/5) * 100% = 60%
e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.
f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
Read more about Ratio Problems at: https://brainly.com/question/12024093
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Does (3, 3) make the equation y = x true?
Answer:
yes
Step-by-step explanation:
Substitute the points into the equation
y =x
3=3
This is true so (3,3) is a solution
Will mark brainlyest with 50 points and 4 thank you's
Three children are having a Birthday Party. Can you work out how many candles need to go on each cake?
Read the clues and show your work.
Clue 1: Maya and Josh have 20 candles
Clue 2: Maya and Sam have 13 candles
Clue 3: Sam and Josh have 15 candles
Clue 4: There are 24 candles altogether.
How many candles are on Maya’s cake?
How many candles are on Josh’s cake?
How many candles are on Sam’s cake?
Maya=10
Sam=3
Josh=12
Hope this helps.
: )
Answer:
im still alli
Step-by-step explanation:
Solve for x and y adding
2x + 4y = 16
-5x-4y = 16
Show work
Answer:
x = -32/3
y =28/3
Step-by-step explanation:
2x + 4y = 16
-5x-4y = 16
Add the equations
2x + 4y = 16
-5x-4y = 16
--------------------
-3x = 32
Divide each side by -3
x = -32/3
Now solve for y
2x+4y = 16
2(-32/3) +4y = 16
-64/3 +4y = 16
Multiply each side by 3 to get rid of the fractions
-64 +3*4y = 16*3
-64 + 12y = 48
Add 64 to each side
12y = 112
Divide by 12
12y/12 = 112/12
y =28/3
there are 18 animals in a pet store some are birds and others are dogs. there are 50 legs in total. how many dogs are there
Answer:
I believe the answer will be 36 for the dog legs.
Step-by-step explanation:
first you get a calculator
then you type in 18 divided by 50
then you hit enter
then the answer will come up as 0.36
||x-5|+2|<=3
please help
Answer:
x e [-10,-4]
Step-by-step explanation:
||x-5|+2|≤3
|x+5+2|≤3
|x+7|≤3
x+7≤3
x≤-4
x+7≥-3
x≥-10
x e [-10,-4]
What does this mean and can someone give me an example for number 1 ?
