Answer:
C. x+x+x+1+1+1 and 3(x+1)
Step-by-step explanation:
Algebraic Expressions
Some algebraic expressions are equivalent to others if the correct operations are done on them.
A. 10(x+4) must be operated by multiplying 10 by x and 10 by 4, thus:
10(x+4) = 10x + 40.
This choice is not correct
B. 3(x+5) must be operated by multiplying 3 by x and 3 by 5, thus:
3(x+5) = 3x + 15.
This choice is not correct
C. x+x+x+1+1+1 is equivalent to an expression where like terms are collected, that is. x+x+x=3x and 1+1+1=3, thus:
x+x+x+1+1+1=3x+3=3(x+1)
This choice is correct
D. x+x+x+x+1+1+1+1 in a similar way as explained above, like terms must be correctly collected: D. x+x+x+x=4x and 1+1+1+1=4, thus
D. x+x+x+x+1+1+1+1 = 4x+4 = 4(x+1)
This choice is not correct
A pediatrician plotted the heights and weights of 9 random kids that came through her office. Which coordinate point represents the kid who is 45 pounds? A) (45, 39) B) (38, 45) C) (39, 45) D) (45, 70)
Answer:
45 70
Step-by-step explanation:
Answer:
(45, 70)
Step-by-step explanation:
-2⁄3 a − 6 = 12
What does (A) equal?
Answer:
a = -27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-2/3a - 6 = 12
Step 2: Solve for a
Add 6 to both sides: -2/3a = 18Divide -2/3 on both sides: a = -27Answer: a = -27
Step-by-step explanation:
-2/3a - 6 = 12
ADD 6 TO BOTH SIDES
-2/3a = 18
MULTIPLY BY 3 TO BOTH SIDES
-2a = 54
now you want to get the a by itself so DIVIDE BY -2
so... a=-27
In A ABC, AB = 51 cm, BC = 52 cm and CA = 101 cm, then find the area of A ABC,
Step-by-step explanation:
sorry..by any chance if my answer is incorrect
I need help converting 3/5 into a decimal
Answer:
3.5
Step-by-step explanation:
3/5 in a decimal is 3.5
If m< XYZ= 136, solve for x
Answer:
x = 3
Step-by-step explanation:
We'd apply some properties of rhombus.
m<RZT = (10x - 8)°
m<ZRY = 90° (diagonals bisect at 90°)
m<ZYR = ½(m<XYZ) = ½(136) = 68°
m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)
(10x - 8) + 90 + 68 = 180
Solve for x
10x - 8 + 90 + 68 = 180
10x + 150 = 180
10x = 180 - 150 (subtraction property of equality)
10x = 30
Divide both sides by 10
x = 3
The value of x is 3
The calculation is as follows:m<RZT = (10x - 8)°
m<ZRY = 90° (diagonals bisect at 90°)
m<ZYR = ½(m<XYZ) = ½(136) = 68°
Now
m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)
(10x - 8) + 90 + 68 = 180
10x + 150 = 180
10x = 30
x = 3
Learn more: https://brainly.com/question/18269454?referrer=searchResults
The questions above.
Answer:
k(3) = 37
Step-by-step explanation:
k(t) = 13t - 2
To find k(3), substitute 3 for t in the expression and evaluate the expression.
k(3) = 13(3) - 2
k(3) = 39 - 2
k(3) = 37
PLEASE HELP
Where is this function decreasing?
The function is decreasing from x = □ to x = □
Answer:
The function is decreasing from x=1 to x=8
Step-by-step explanation:
9
8
a
+
4
8
a
−
5
8
8
9
a+
8
4
a−
8
5
A
138a−58
8
13
a−
8
5
B
58a−58
8
5
a−
8
5
C
811a+14
11
8
a+
4
1
D
78a+85
8
7
a+
5
8
Simplify
2x + x + x + 2y x 3y x y
Step-by-step explanation:
[tex] \tt{2x + x + x + 2y \times 3y \times y}[/tex]
[tex] \text{Add \: the \: like \: terms : 2x \: + \: x \: + \: x}[/tex]
Like terms are those which have the same base. Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.
⤑ [tex] \tt{4x + 2y \times 3y \times y}[/tex]
[tex] \text{Multiply : 2y, \:3y \: and \: y}[/tex]
⤑ [tex] \tt{4x + 6 {y}^{3}} [/tex]
Since , 4x and 6y³ are not like terms , they cannot be added. And we're done !
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : 4x + 6 {y}^{3}}}}} [/tex]
Hope I helped ! ツ
Have a wonderful day / night ♡
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A recipe that yields 2 loaves of bread
requires 2.5 cups of flour. Edgar has a bag
that contains 18.75 cups of flour. If he uses
all the flour how many loaves can he make?
Answer:He can make 7.5 loaves i think
Step-by-step explanation:
help pls! what’s the coordinates?
Answer:
It's (4,5)
Step-by-step explanation:
Hope it helps. Bye
How many eighths are there in 2?
Answer:
16
Step-by-step explanation:
eighths are 1/8 therefore there are 8 eighths in one,
1 x 2 is 2
8 x 2 is 16
therefore there are 16 eighths in 2
Answer:
Step-by-step explanation:
1 pizza has 8 slices
2 pizzas has 16 slices
i think it is easier to remember like this
What are the potential solutions of In(x^2 - 25) = 0?
Answer:
-3 on edg
Step-by-step explanation:
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ Solution \ of \ the \ given \ equation \ is\ \sqrt{26}\ or \ -\sqrt{26}}}}[/tex]
Step-by-step explanation:We need to find the solution of the given logarithmic equation. So the given equation is ,
[tex]\bf \implies ln ( x^2-25) = 0 [/tex]
Using the Properties of log we can write this as ,
[tex]\bf \implies e^{ln(x^2-25)} = e^0 \:\:\bigg\lgroup \red{\bf Here \ e \ is \ Euler's \ Number }\bigg\rgroup \\\\\bf\implies x^2-25 = e^0 \\\\\bf\implies x^2-25 = 1 \\\\\bf\implies x^2=25+1\\\\\bf\implies x^2=26 \\\\\bf\implies x = \sqrt{26} \\\\\bf\implies\boxed{\red{\bf x = \sqrt{26},-\sqrt{26}}}[/tex]
Hence the Solution of the given equation is √26 or -√26.You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan charges a monthly fee of $49.95 plus 9 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
Answer:
357 minutes
Step-by-step explanation:
I subtracted 9 cents/minute from the 23 cents/minute to get 14 cents to get the difference between the two per minute charges. I then divided the monthly cost of $49.95 by .14 to get 356.79... So if you used 357 minutes in a month, the second plan would be 3 cents cheaper at $82.08 (.09 x 357= 32.13 + 49.95), vs. the first plan costing $82.11 (.23 x 357). At 356 minutes the first plan would still be cheaper.
fine the lower and upper quartiles and interquetile range.
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71.
Answer:
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
Step-by-step explanation:
Given data is:
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71
The lower quartile is the first quartile and upper quartile is the third quartile.
A median divides the data set in two equal halves.
Lower quartile also known as first quartile is the middle value in the first half.
The first half is:
5, 12, 17, 23, 28, 31, 37, 41
As the number of values is even, the quartile will be the average of two middle values
[tex]Q_1 = \frac{23+28}{2} =\frac{51}{2}= 25.5[/tex]
Upper quartile is the average of middle two values in the second half when the number of values is even.
42, 49, 54, 58, 65, 68, 73, 71
[tex]Q_3 = \frac{58+65}{2} = \frac{123}{2} = 61.5[/tex]
Interquartile range is the difference of third quartile and first quartile
[tex]IQR = Q_3 - Q_1 = 61.5-25.5=36[/tex]
Hence,
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
(1.2: Solving linear equations) Consider the linear system2x1+ 3x2−5x3=b17x1+ 2x2+ 8x3=b2−x1+x2−5x3=b3(a) Find the echelon form of the augmented matrix of the above system.(b) Find the conditions onb1,b2,b3for which this system has a solution.(c) Do you see the shape of the points (b1,b2,b3) for which the above system has asolution?(d) If you randomly pick
Answer:
Echelon form of augmented matrix [tex]\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&0&\frac{-10}{3} &b_3-2\frac{b_1}{6} \end{matrix}\right][/tex]
Step-by-step explanation:
We have, linear systems
[tex]2x_1+3x_2-5x_3=b_1[/tex]
[tex]17x_1+2x_2+8x_3=b_2[/tex]
[tex]-x_1+x_2-5x_3=b_3[/tex]
[tex](a)[/tex] Find the echelon form of the augmented matrix.
Firstly we find the augmented matrix (A) of the given linear system
[tex]A=\left[\begin{matrix} 2&3&-5&b_1\\17&2&8&b_2\\-1&1&-5&b_3\end{matrix}\right][/tex]
Now find the echelon form
[tex]=\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&\frac{5}{2} &\frac{-15}{2} &b_3+\frac{b_1}{2} \end{matrix}\right]^{R_2\rightarrow \frac{17}{2}R_1, R_3\rightarrow R_3+\frac{1}{2}R_1 }[/tex]
[tex]=\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&0&\frac{-10}{3} &b_3-2\frac{b_1}{6} \end{matrix}\right]^{R_2\rightarrow R_3-\frac{5}{6}R_1 }[/tex]
[tex](b)[/tex] From above echelon form of augmented matrix system is consistent .
So, system has always a solution exist for every condition of [tex]b_1,b_2, b_3[/tex]
[tex](c)[/tex] Yes, If we take point [tex](0,1,1)[/tex] then system of linear equation has exist a solution.
[tex](d)[/tex] yes, if pick randomly [tex]b_1,b_2, b_3[/tex] then always exist a solution of given system of linear equation.
Evaluate 0 with a 4 on top
9514 1404 393
Answer:
0
Step-by-step explanation:
0 to any positive power is 0.
0^4 = 0×0×0×0 = 0
=
systèmes d'équations suivants. Trouve ensuite sa solution
b) { y = -x + 1
y = -2x - 2
Answer:
Solving the equations we get: x = -3, y = 4
The solution set is: (-3,4)
Step-by-step explanation:
We need to solve the system of equation and find value of x and y
The system of equation given is:
[tex]y = -x + 1\\y = -2x - 2[/tex]
Let:
[tex]y = -x + 1--eq(1)\\y = -2x - 2--eq(2)[/tex]
We would use substitution method.
Put value of y from eq(1) into eq(2) and find value of x
[tex]Eq(2)\;is:\\y=-2x-2\\Put\:y=-x+1\\-x+1=-2x-2\\-x+2x=-2-1\\x=-3[/tex]
So, we get x = -3
Now, for finding value of y, put value of x = -3 into equation 1
[tex]y=-x+1\\Put\:x=-3\\y=-(-3)+1\\y=3+1\\y=4[/tex]
So, we get y=4
Solving the equations we get: x = -3, y = 4
The solution set is: (-3,4)
You borrow 15,000 for three years at 10% how much will you owe in interest only
Answer:
4500
Step-by-step explanation:
15000/10 is 1500, 1500 x 3 = 4500
What is the missing number in the series?
1, 16, 81, __, 625, 1296
Answer:
256
Step-by-step explanation:
We are given the series
1, 16, 81, __, 625, 1296
The missing number in the sequence is the fourth term
From the above sequence, we know that
1, 4², 9² , __, 25² , 36²
Difference between first term = 4 - 1 = 3
9 - 4 = 5
x - 9 = 7
x = 9 + 7 = 16
Hence, the fourth term = 16²
= 256
Certain machine caps 100 bottles every 40 seconds. At this rate, how many will be capped in a minute?
Answer:
150 will be capped in a minute
Jennifer has watched 42 minutes of a movie, which is 20% of the movie. What is the total length in minutes of the movie?
Answer:
210
Step-by-step explanation:
20% is equal to 1/5
5*42 = 210
The movie is 210 minutes.
Answer: 210
5 x 42 = 210
WHAT’S 6 divided by 1 over 3?
Answer:
18
Step-by-step explanation:
6 divided by 1/3 is the same as 6x3 because you flip the second fraction when dividing fractions.
PLZ PLZ PLZ HELP! What is the 50th term in the arithmetic sequence -6,-1,4...?
Help please! What are the matches?
Answer:
2y-6=x goes with 3rd one which is y=2x+6,
Answer:
1 >>4
2>>1
3>>3
4>>2
Step-by-step explanation:
1 - 2y-6 =x then y=(1/2)x +3
2 - 3y = -6 -x then y = (1/3)x + 2
3 = (1/2)y = 3 +x then y = 2x + 6
4 - 2x + y = 3 then y = -2x + 3
I need help on the attached problem ASAP!
Answer:
[tex]\displaystyle \sin A=\frac{1}{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.
We are given a triangle with side lengths of 3, [tex]\sqrt{72}[/tex], and 9, where 9 is the hypotenuse. Before applying the trigonometric ratios, we must check if the triangle is right, and the Pythagora's theorem is satisfied:
[tex]9^2=3^2+(\sqrt{72})^2[/tex]
81=9+72=81
Now we're sure it's a right triangle, we apply the sine formula:
[tex]\displaystyle \sin A=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
The opposite leg to A is 3, and the hypotenuse is 9, then:
[tex]\displaystyle \sin A=\frac{3}{9}[/tex]
Simplifying:
[tex]\boxed{\displaystyle \sin A=\frac{1}{3}}[/tex]
If job growth in your state is projected to be 2 percent and you have 11,000,000 workers, how many new jobs will be created?
Answer:
5500000
Step-by-step explanation:
I just divided-
If x=3 what is the value of 3ײ
Answer:
27
Step-by-step explanation:
Using Bedmas we have to calculate the x^2 first
Since we know x=3, x^2 = 3^2 = 9
So then, the value would be 3 x 9 = 27
Hope You Found This Helpful :)
Please help fast!!!
Select the point on the graph.
Which point represents the x-intercept of this exponential function?
Answer:
(3,0)
Step-by-step explanation:
the x-intercept is the point when the line touches the x-axis. (3,0) is this point, we can see it in the graph.
Answer:
(3,0)
Step-by-step explanation:
It crosses the x-axis
how do I I find people that need help and so then I can answer them
Answer:
you make a account then go down and look for somthing you want ro answer
Step-by-step explanation:
hope this helps