Answer:
1) 85+(-96)=-11
2) 86+(-38)=48
3) 22+(-41)=-19
Step-by-step explanation:
1)
Here you are adding a negative to a positive. The if you were to take the absolute value of the negative number it would be greater than that of the positive.
Think about it like 96-85=11, but it was flipped so negative 11.
-11
2)
86+(-38) is the same as 86-38
48
3)
Here you are also adding a negative to a positive. The if you were to take the absolute value of the negative number it would be greater than that of the positive.
Think about it like 41-22=19, but it was flipped so negative 19.
-19
Hope this is helpful :-)
Meg makes paper flowers. She makes 15 flowers each hour.
She makes flowers for 5 hours each day, on 5 days of the week.
The flowers are packed in boxes. 6 flowers are packed into each box.
How many boxes are needed for all the flowers Meg makes in a week?
Answer:
62.5is what I got but i think you round it
Step-by-step explanation:
22. Find three consecutive odd numbers such that the sum of five times the smaller number and twice
the larger number is 33 more than six times the median number.
Answer:
The numbers are 37, 39 and 41.
Step-by-step explanation:
Let the smallest number be [tex]x\\[/tex].
Then the other numbers will be [tex]x+2, x+4[/tex] (as they are consecutive odd numbers, their difference will be 2).
As per the given statement:
LHS(Left Hand Side) : Sum of five times the smaller number and twice the larger number.
i.e. five times the smaller number = [tex]5\times x[/tex]
twice the larger number = [tex]2 \times (x+4)[/tex]
Their sum:
The Left Hand Side becomes:
[tex]5x+2(x+4)[/tex]
RHS(Right Hand Side):
33 more than six times the median number:
i.e. [tex]6\times(x+2) +33[/tex]
Equating LHS and RHS:
[tex]5x+2(x+4) = 6x+12 +33\\\Rightarrow 7x+8=6x+47\\\Rightarrow \bold{x =37}[/tex]
Therefore, the numbers are 37, 39 and 41.
Question 8. PV = nRT, solve for T please?
Question 10. C= Wtc÷1000, solve for W, please?
Answers:
[tex]\huge \boxed{T= \frac{P V}{n R} } \\ \\ \\ \\ \huge \boxed{W= \displaystyle \frac{1000C }{tc}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
8.[tex]P \cdot V = n \cdot R \cdot T[/tex]
Dividing both sides by n · R:
[tex]\displaystyle \frac{P \cdot V}{n \cdot R} =T[/tex]
9.[tex]\displaystyle C=\frac{Wtc }{1000}[/tex]
Multiplying both sides by 1000:
[tex]1000C=Wtc[/tex]
Dividing both sides by tc:
[tex]\displaystyle \frac{1000C }{tc}=W[/tex]
[tex]\rule[225]{225}{2}[/tex]
sum1 plz help me & explain it ! thank you :)
Answer:
D
Step-by-step explanation: 2 x square root of 2 is 2.8284.......
Point M is located at (9,0) What is located 4 units from point M?
Answer:
which way it could be (9,4) (9,-4) (13,0) (5,0)
Step-by-step explanation:
.837537537 as a reapting decimal
Answer:
this is a reapeting decimal
Step-by-step explanation:
3(10 + 2) could be used to simplify which of the following problems? 130(26) 13(12) 13(20)
Answer:130(26).
Step-by-step explanation: It could basically be used to simplify 130(26) because if you multiply the number on the outside of the parentheses (13) with the numbers inside the parenthesis(10+2), you will get 130(26).
Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
Answer:
its 9
Step-by-step explanation:
I have gotten it correct on ED
Answer:
the answer is 9
Step-by-step explanation:
I took the test edg 2020
The boiling point of water is 212°F. The boiling point of helium is –452°F.
How would you compare the temperatures using an inequality?
A. –452°F < 212°F
B. –452°F > 212°F
C. 212°F < –452°F
D. 212°F > –452°F
Answer:
Option A and Option D are correct
Hey There!!
3 + 4n + n = 2n + 15.
Answer:
n = 4
Step-by-step explanation:
3 + 4n + n = 2n +15
3 + 5n = 2n + 15
5n - 2n = 15 - 3
3n = 12
n = 12 / 3
= 4
Answer:
N=4
Step-by-step explanation:
Simplifying
3 + 4n + n = 2n + 15
Combine like terms: 4n + n = 5n
3 + 5n = 2n + 15
Reorder the terms:
3 + 5n = 15 + 2n
Solving
3 + 5n = 15 + 2n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-2n' to each side of the equation.
3 + 5n + -2n = 15 + 2n + -2n
Combine like terms: 5n + -2n = 3n
3 + 3n = 15 + 2n + -2n
Combine like terms: 2n + -2n = 0
3 + 3n = 15 + 0
3 + 3n = 15
Add '-3' to each side of the equation.
3 + -3 + 3n = 15 + -3
Combine like terms: 3 + -3 = 0
0 + 3n = 15 + -3
3n = 15 + -3
Combine like terms: 15 + -3 = 12
3n = 12
Divide each side by '3'.
n = 4
Simplifying
n = 4
describe a rule for each pattern. 35,70,105,140
Answer:
A linear sequence
Step-by-step explanation:
In this sequence, the difference between the first two terms is 70−35=35 , we can check this is correct by finding the difference between the 2nd and 3rd terms, which is 105−70=35 . This means the first difference is 35.
The first difference gives us the number we multiply n by, or the quotient of n.
This means we get the nth term as 35n+c .
To get c , we check the difference between the first term and the number we get when we multiply n by 35 , when n=1 .
This gives us:
35n+c=35
c=35−35n
c=35−35(1)
c=35−35
c=0
Once we have c , we get the nth term of 35,70,105 to be 35n .
In a 200 page book, Alicia read 50 pages. What is the ratio of the number of pages Alicia read to the number of pages she has not read?
Answer:
jf
Step-by-step explanation:
f
Answer: 4
Step-by-step explanation: 4 because 200 divided by 50 is 4. The ratio is 4
PLEASE HELP its urgent
Answer:
y = -1
Step-by-step explanation:
1y + 14 = -4y + 9
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Add 4y and subtract 14 from both sides:
1y (+4y) + 14 (-14) = -4y (+4y) + 9 (-14)
1y + 4y = 9 - 14
5y = -5
Divide 5 from both sides:
(5y)/5 = (-5)/5
y = -5/5 = -1
-1 is your answer for y.
~
Brett and Max are diving. Brett is 34 feet below the surface and Max is 25 feet below the surface. How many feet above Brett is Max?
Answer:
Max is 9 feet above Brett.
Step-by-step explanation:
If you subtract how far Max is below the surface to how far Brett is below the surface you find the difference of how much more above Brett Max is.
This would be the mathematical process:
34-25=9
Max is 9 feet above Brett.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that Brett is 34 feet below the surface and Max is 25 feet below the surface.
Max is more than twice as deep below the surface as Brett,
Thus we can determine this difference by subtracting Max's depth from Brett's.
The mathematical solution would be as follows:
⇒ 34 - 25
⇒ 9
Hence, Max is 9 feet above Brett.
Learn more about Arithmetic operations here:
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Write a paragraph proof to prove the statement
We start with m < A + m < B = m < B + m < C as the given equation. We can rearrange the two terms on the right hand side to get m < A + m < B = m < C + m < B. From here, subtract m < B from both sides to end up with m < A = m < C. The angle B terms go away entirely. This rule I used was the subtraction property of equality. The next rule to use is the symmetric property to go from m < A = m < C to m < C = m < A. This rule is basically where we can flip the two sides of the equation and the equation is the same.
what is the fifth term of (x-2y)^7
Answer:
560x^3y^4.
Step-by-step explanation:
The (r+1)th term of (a + b)^r = nCr a^(n-r) b^r
We want the fifth term so r = 5 - 1 = 4:
(4 + 1)th term = 7C4 x^(7-4) (-2y)^4
= 35x^3 16y^4
= 560x^3y^4.
A rectangle has an area of 60 cm2. Its width is 7 cm less than its length. (a) Let x cm be the length of the rectangle. Write an equation using the rectangle's area. (b) Solve your equation for x (c) Find the dimensions of the rectangle.
Answer: (a) [tex]A = x^{2}-7x[/tex]
(b) x = 12 or x = -5
(c) Length = 12cm
Width = 5cm
Step-by-step explanation: Area of a rectangle is calculated as:
A = length*width
(a) If length = x,
width = x - 7
Then, equation is:
A = x(x - 7)
[tex]A = x^{2} - 7x[/tex]
(b) Solving for x:
[tex]A = x^{2} - 7x[/tex]
[tex]x^{2} - 7x = 60[/tex]
[tex]x^{2} - 7x - 60=0[/tex]
Using Bhaskara to solve equation:
[tex]x = \frac{7+\sqrt{(-7)^{2}-4.1.(-60)} }{2}[/tex]
[tex]x =\frac{7+\sqrt{289} }{2}[/tex]
[tex]x =\frac{7+17}{2}[/tex]
[tex]x_{1} = \frac{7+17}{2}[/tex] = 12
[tex]x_{2}=\frac{7-17}{2}[/tex] = -5
The quadratic equation gives two values for x: x = 12 or x = -5
(c) Dimensions are positive numbers, so the value of x used is x = 12.
As length is x:
length = 12cm
Width is 7 less than length:
width = x - 7
width = 5cm
The rectangle has length of 12cm and width of 5cm.
If y is directly proportional to x and y = 5 when x = 2, find the value of y when
x=7.
Answer:
y = 17.5
Step-by-step explanation:
y is directly proportional to x means that
y = k.x
when y=5, x=2 --> k = y/x = 5/2
when x=7
y = k.x = 5/2 . 7 = 35/2 = 17.5
If y is directly proportional to x and y = 5 when x = 2 the value of y is 17.5
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that y is directly proportional to x
y = 5 when x = 2
We need to find the value of y when x is 7
To find the value of y when x is 7 we have to construct a proportional formula as below
2/5=7/y
Apply cross multiplication
2y=35
Divide both sides by 2
y=35/2
y=17.5
Hence, If y is directly proportional to x and y = 5 when x = 2 the value of y is 17.5
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3/7 divide by 2/3 what is that answer
Answer:
9/14
Step-by-step explanation:
to divide fractions flip the second fraction and then multiply
Answer:
9/14
Step-by-step explanation:
3/7 divided by 2/3 is equal to 3/7 times 3/2 which is 9/14
Calculate the mean and median of each data set and determine what type of distribution it has data set 1 : 5 8 9 6 3 2 10 8 5 4 3 Data set 2: 8 7 3 2 4 6 2 7 4 9 6
Answer:
Data Set 1:
Mean= 5.73
Median= 5
Shape of distribution: skewed right
Data Set 2:
Mean: 5.27
Median: 6
Shape of distribution: Skewed left
Step-by-step explanation: Edmentum
The mean of Data set 1 is approximately 5.727 and the median is 5.
The mean of Data set 2 is approximately 5.273 and the median is 6.
What is the median of data?The median is defined as the value range. To get it, arrange the numbers in ascending order from smallest to largest, then hide one number on either end until you reach the center.
For Data set 1:
The sum of all values in the dataset is:
5 + 8 + 9 + 6 + 3 + 2 + 10 + 8 + 5 + 4 + 3 = 63
The number of values in the dataset is 11.
The mean of the dataset is:
63 / 11 = 5.727 approx.
Sort the values in ascending order:
2, 3, 3, 4, 5, 5, 6, 8, 8, 9, 10
Since there are 11 values, the median is the middle value, which is 5.
Therefore, the mean of Data set 1 is approximately 5.727 and the median is 5.
The distribution of the dataset seems to be slightly skewed to the right.
For Data set 2:
The sum of all values in the dataset is:
8 + 7 + 3 + 2 + 4 + 6 + 2 + 7 + 4 + 9 + 6 = 58
The number of values in the dataset is 11.
The mean of the dataset is:
58 / 11 = 5.273 approx.
Sort the values in ascending order:
2, 2, 3, 4, 4, 6, 6, 7, 7, 8, 9
Since there are 11 values, the median is the middle value, which is 6.
Therefore, the mean of Data set 2 is approximately 5.273 and the median is 6.
The distribution of the dataset seems to be slightly skewed to the left.
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describe fully the graph which has the equation x^2+y^2=16
The given equation is a circle with center = (0, 0) and radius = 4.
We compare the given equation with the standard form of a circle[tex](x-h)^2+(y-k)^2=r^2[/tex]
So, h = 0 , k = 0, [tex]r^2=16[/tex] or r = 4.
So the given equation is a circle with center = (0, 0) and radius = 4.
The graph is attached.
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Find P(1), if p(x)=(x-1) (x+1)
Answer:
0
Step-by-step explanation:
So we have the function:
[tex]p(x)=(x-1)(x+1)[/tex]
To find p(1), substitute x for 1:
[tex]p(1)=((1)-1)((1)+1)\\[/tex]
Simplify:
[tex]p(1)=(0)(2)\\p(1)=0[/tex]
Thus, p(1) is 0.
How do you do this? I'll give brainliest, please help.
Answer:
Domain is all values of X or (-∞,∞)
Range is all the possible values of Y. Since it goes up to 3, and then it goes down, it's all values less than or equal to y, or (-∞,3] or y ≤ 3 (depending on how you need to enter the response.
Step-by-step explanation:
f(0) f(0)=3(0)^2-10(0)-4
please help!! thank you
Answer: 5
Step-by-step explanation:
f(x)=3-x
f(-2)=3-(-2)
f(-2)=3+2
f(-2)=5
Hope this helps!! :)
Please let me know if you have any question
Write the equation of a line with a slope of 3 and a y-intercept of 1.
Take a look at the image below.
5^4-x^2+x-2 divided by x - 2
Answer: x −x 3 +x 2 +623x−2
Step-by-step explanation:
In the figure given below, ∠DBC=90° and ∠DBE is one-third of ∠ABE.
Answer:
CBE = 112.5 degrees
which expression is equivalent to 4/9x7?
Is there an answer key?
Answer:
3.11111111
Step-by-step explanation:
solved all the equations and simplified the original problem. The answer for the third one was the same as the original problem.
What is direct and inverse variation?
Answer:
Can you please make it more spicific or add a picture
Step-by-step explanation: