Answer:
up to 5 candy bars
Step-by-step explanation:
Simplify: [3(2a)3/2]^2
Answer:
24a³
Step-by-step explanation:
Simplify, then, 2.1 2³ divided by 2¹= 2 (³_¹)= 2²
( 3 . 4³ .2. =24a³.
Simplification of an expression is making it as simple as possible. The simplified form of the considered expression is given by: Option D: [tex]72a^3[/tex]
What are some basic properties of exponentiation?If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}\\\\^n\sqrt{a} = a^{1/n}\\(ab)^c = a^c \times b^c[/tex]
For the given case, the expression is simplified by using the given rules as:
[tex][3(2a)^{3/2}]^2 = 3^2 \times (2a)^{\dfrac{3}{2} \times 2} = 9 \times (2a)^3\\[/tex]
[tex][3(2a)^{3/2}]^2 = 9 \times 8 \times a^3 = 72a^3[/tex]
Thus, the simplified form of the considered expression is given by: Option D: [tex]72a^3[/tex]
Learn more about exponent here:
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10 Points
Please help
Answer:
Step-by-step explanation:
Multiply 82 and 0.6 and subtract 85
Answer:
5 hours
Step-by-step explanation:
Given: the water temperature at the beach started at 82 degrees and it is rising 0.6 degrees each hour
To Find: If the water temperature is now 85 degrees write and solve an equation to find h, the number of hours that have passed
Solution: Current water temperature at beach= 82 degree
temperature rising rate degrees per hour= 0.6 degrees
let be the hours passed.
water temperature at the beach after hour h be
=82+0.6h
Heather received grades of 80, 75, and 86 on 3
math 1 tests. What is lowest grade she can
receive on the next test if she wants her average
for the four test to be at least an 82?
Define your variable
Answer:
87
Step-by-step explanation:
We know Heather recieved grades of 80, 75 and 86.
Let's find her average on those 3 tests.
80 + 75 + 86 = 241 Since there are 3 tests we divide by 3.
241/3 = 80.3333 Is her aveerage on the first 3 tests.
She need to average 82 so we can write an equation with t being the score on her 4th test.
[tex]\frac{80 + 75 + 86 + t}{4} = 82[/tex]
[tex]\frac{241 + t}{4} = 82[/tex] Multiply each side by 4
([tex]\frac{241+t}{4}[/tex]) * 4 = 82 * 4 4 on the left will cancel
241 + t = 328 Subtract 241 from each side
241 - 241 + t = 328 - 241
t = 328 - 241
t = 87
Heather must get an 87 to have an average score of 82.
On a number line, C is at -6 and Dis at 24. What is the coordinate of F Which is
3
the way from C to D?
The Point F is at 10.
We have on a number line -
C → at → -6
D → at → 24
We have to determine the coordinates of F which is [tex]$\frac{1}{3}[/tex] of the way from C to D.
What is Number line ?A Number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.
According to the question, we have -
C → at → -6
D → at → 24
Total distance between C to D = |24| + |- 6| = 24 + 6 = 30
The coordinates of point F will be -
[tex]$\frac{1}{3} \times 30 = 10[/tex]
Hence, the Point F is at 10.
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Hello! Im stuck on this math question. The two triangles displayed are scaled copies of one another. the first question is "What is the scale factor?" the second question is "what is the value of x? "
Answer:
scale factor = 2.5
x = 10
Step-by-step explanation:
to find the scale factor, divide 10 by 4.
use the answer and divide it by 25 :)
________
10÷4=2.5
25÷2.5=10
The scale factor is 2.5 and the value of x will be 10.
What is a scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making. The scale factor is the ratio of the scaled size to the original size.
Given that one triangle has the sides x and 4 and another has 25 and 10.
The scale factor will be calculated as below:-
Scale factor = 10 / 4
Scale factor = 2.5
Use the answer and divide it by 25. The value of x will be calculated as below:-
x = 25÷2.5
x = 10
Therefore, the scale factor is 2.5 and the value of x will be 10.
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Can someone help me figure this out? -2(x+8)=6x+8
Answer:
x = -3
Step-by-step explanation:
First, distribute:
-2x - 16 = 6x + 8
Then, switch the numbers to one side, and switch the variables to another:
-2x - 6x = 8 + 16
Then, simplify:
-8x = 24
Finally, divide -8 on both sides:
We got x = -3
And we're done!
A new Outdoor Recreation Center is being built in Erie. The perimeter of the rectangular playing field is 432 yards. The length of the field is 4 yards less than triple the width. What are the dimensions of the playing field?
Answer
578
Step-by-step explanation:
Explain in your own words how to solve a one-step equation.
Answer:
Solve the problem by taking whats preformed on the variable, inverse it getting the variable by itself.
The table below shows all of the possible outcomes for rolling two six-sided number cubes.
Second Number Cube
2 3 4 5 6
1
1
2.
3
Cube
First Number
1.1 1.2 1.3 1.4 1.5 1.6
2.1 2.2 2.3 2.4 2.5 2.6
3.1 3.2 3.3 3.4 3.5 3.6
4.1 4.2 4.3 4.4 4.5 4.6
5.1 5.2 5.3 5.4 5.5 5.6
6.1 6.2 6.3 6.4 6.5 6.6
4
5
6
How many possible outcomes are there?
6
12
Answer: 36
Step-by-step explanation:
Find the slope of the line:
80
75
70
65
60
55
50
45
40
35
30
25
20
15
10
S
1
3
6 7 8 9 10
-10 -9 -8 7 6 5 4 3 2 -1
5
10
15
20
You have 4 white marbles and 5 black marbles. What would be the ratio for pulling out a black marble from the bag? 5:4 or 5:9?
Explain how to use a number line to show that opposite quantities combine to make zero.
did I do this correctly??
Yes your answer is correct.
Yes, you did it correctly.
We have two opposite quantities.
We have to show that opposite quantities combine to make zero.
What is a Vector quantity ? What are equal and opposite Vectors?Any quantity with both magnitude and direction is called vector quantity.
Two vectors are said to be equal and opposite if they have same magnitude and angle of 180 degrees between them.
According to the question -
Assume a number line and mark a number say 'x' after 0 and a number
'-x' before zero. These two numbers represent the quantities with same magnitude. And it can be easily seen that the angle between line from center point 'O' to 'x' and the line from 'O' to '- x' is 180 degrees. Hence, these two equal and opposite quantities which will give a resultant value of = + x + (- x) = + x - x = 0
And you also did it correctly ( You have taken 5 and -5).
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6m-6=9m+15 (Show work)
Answer:
Step-by-step explanation:
1. Subtract 9m from both sides.
6m-6-9m=9m+15-9m
-3m-6=15
2. Add 6 to both sides
-3m-6+6=15+6
-3m=21
3. Divide both sides by -3
-3m/3=21/-3
m= -7
What is the answer to the equation 3.9x + 0.3 = 12
3.9x + 0.3 = 12
The answer is X=3
Answer:
The answer is X=3
Step-by-step explanation:
In right triangle ABC shown below, what is the
degree measure of ZC ?
Answer:
90+30=120
180-120=60 this is degree measure
what is -2x+5>11 graphed out on a number line?
Step-by-step explanation:
-2x>11-5
x<6/-2
x<-3
Make sure the circle in the number line isnt coloured in!
There are ten pieces of pizza. Anthony ate 1 16 of the pizza for dinner. He ate 7 20 of the pizza for a bedtime snack. How much of the pizza has he eaten in all?
Answer:4 ⅛ pieces of pizza
Step-by-step explanation:
Get lcm of 16 and 20 which is 80
5/80+28/80=33/80
80/80=10
33/80
33/80×10÷80/80=4⅛
Jordan uses 3 lemons to make 1 pitcher of lemonade. He makes 4 pitchers. How many lemons does
he use altogether?
Answer:
12 Lemons
Step-by-step explanation:
3 x 4= 12
What is true about triangle LMN? Check all that apply.
LM ⊥ MN.
The triangle is scalene.
The triangle is equilateral.
The triangle is isosceles.
The triangle is a right triangle.
Answer:
The triangle is isosceles.
Step-by-step explanation:
WHY?:
An Isosceles Triangle will have both 2 equal sides and 2 equal angles.
A Equilateral Triangle will have 3 equal sides and 3 equal angles.
A Scalene angle is when all 3 sides have different lengths.
and
A right triangle will have a 90 degree angle.
In triangle LMN, LM is perpendicular on side MN. So that, the triangle LMN is right angle triangle.
To understand more, check below explanation.
Types of triangle:A triangle whose all three sides has different length known as scalene triangle.
A triangle in which all three sides are equal in length known as equilateral triangle.
A triangle in which two sides are equal are known as isosceles triangle.
A triangle in which one angle is 90 degrees known as right angle triangle.
Since, In traingle LMN, LM is perpendicular on MN. Therefore, LMN is right angle triangle.
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-1.9(3.3)(7) some help me out on this plz
the answer is -43.89
Answer:
-19.57
Step-by-step explanation:
you can also write this equation like this (3.3 x -1.9) (7 x -1.9)
(3.3 x -1.9)= -6.27
(7 x -1.9)= -13.3
now u subtract them
-6.27-13.3 = -19.57
A pet store has 1
15 fish
Answer:
thats a lot of fish
Step-by-step explanation:
owo
How do you find the slope of a line? T H A N K Y O U !!!!
Answer:
Rise over run
Step-by-step explanation:
is 2/5-(-5/6) a positive, negitive, or zero
Answer:
Positive
Step-by-step explanation:
[tex]\frac{2}{5}-(-\frac{5}{6})[/tex]
Remember, a number minus the negative of a number would be equal to that first number plus that second number but not negative. In other words:
a - (-b) = a + b
So:
[tex]\frac{2}{5}-(-\frac{5}{6})=\frac{2}{5}+\frac{5}{6}[/tex]
The sum of two positive numbers would be a positive number. Because of this, we can see that the value would be positive.
I hope you find my answer and explanation helpful. Happy studying. :)
y= -2x+34 simplified
To be honest I am not sure
Good Luck Sorry if it is wrong.
Hey there!
[tex]Answer:\boxed{x=\frac{-1}{2}y+17}\boxed{y=-2x+34}[/tex]
[tex]Explanation:[/tex]
[tex]y=-2x+34[/tex]
flip the equation.
[tex]-2x+34=y[/tex] flip the equation.
Now add -34 to both sides of the equation.
[tex]-2x+34+-34=y+-34\\-2x=y-34[/tex] add -34 to both sides of the equation.
In our third/last step, we will divide both sides of the equation by -2.
[tex]\frac{-2x}{-2}=\frac{y-34}{-2}[/tex] divide both sides of the equation by -2.
[tex]x=\frac{-1}{2}y+17[/tex] The answer to your equation.
There is nothing to solve for y because the equation was equal to y.
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
40 points: how do u calculate this and what is sin, cos and what is the formula
Answer:
B.
Step-by-step explanation:
sin∅ = opposite side over hypotenuse
cos∅ = adjacent side over hypotenuse
To find x, there are multiple ways:
tan72° = 6/x
x = 6/tan72°
cos72° = x/15
15cos72° = x
Round the decimal below to the nearest thousandth. 520.4681
Answer:
520.468
Step-by-step explanation:
round up to the thousandths place :)
Answer:
Step-by-step explanation:
520.468
Simplify the expression -2(3x-9)
Answer:
-6x+18
Step-by-step explanation:
you multiply -2 by the numbers in the bracket
The sum of three consecutive even integers is –78. What are the integers?
Describe how you would use the strategy of writing an equation to solve the given problem.
hiya! i've been swamped on this question for a good bit now. i know what the answer is, but i'm not sure how to get there. Why are my integers n, n+2, and n+4? how do you find out those are the ones that you need to use? what's n? how does it work out the way it does? why and how do i get this answer? i just don't understand the process or the mind behind it and i need it to be broken down for me. Thank you!!
Step-by-step explanation:
(Hope this explanation can ease your mind a little if possible! Alright let's go! :D)
Let n be the middle of the 3 consecutive even integers. Therefore, (n - 2) and (n + 2) are the smallest and largest of the 3 numbers respectively.
We know that (n - 2) + n + (n + 2) = 78,
so 3n = 78, and n = 78/3 = 26.
Since the middle number is 26, the smallest number is 26 - 2 = 24 and the largest number is 26 + 2 = 28.
Feel free to comment below if you have any queries!
Convert the number to scientific notation. 1,850,000
Answer:
1.85 x [tex]10^{6[/tex]Step-by-step explanation:
5+5 get it right and whats 5x2
Answer:
5+5=10 and 5x2=10
Step-by-step explanation:
5+5 would equal 10 because if you have 5 apples and add 5 more you have 10 apples and if you have 5 dollars and you get 5 more dollars for doing chores than you have ten dollars now.
