The school uses 22,070 pieces of paper in all.
What is algebraic operations?Algebraic operation is any one of the common operations of arithmetic, Which include addition, subtraction, multiplication, division, raising to a Whole number power, and taking roots (fractional power). These Procedures could be applied to numerical data, in which case they are Frequently referred to as arithmetic operations. Similar operations can be Carried out on variables, algebraic expressions, and, more generally, on Components of algebraic structures like groups and fields. A Mathematical operation could also be defined simply as a function from a Cartesian power of a set to the same set.
Given that:school uses 13,470 pieces of white paper, 7,970 fewer pieces of blue paper than white paper, and 2,400 fewer pieces of yellow paper than blue paper.
The school uses 22,070 pieces of paper in all.
IT is already given that the school uses 13,470 pieces of white paper. Then it says that there are 7,970 fewer pieces of blue paper than white Paper. So if you subtract 7,970 from 13,470, you get that the school used 5,500 pieces of blue paper. Then it says that there are 2,400 fewer Pieces of yellow paper than blue paper. So when you subtract 2,400 From 5,500, you get that the school used 3,100 pieces of yellow paper. So if you do 13,470+5,500+3,100, you get that the school used 22,070 Pieces of paper in total.
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Solve for r: -6+4r=2(r-4)
A) -1
B) 1
C) -12
D) 12
Answer:
r = -1
Step-by-step explanation:
-6 + 4r = 2(r - 4)
-6 + 4r = 2r - 8
+6 +6
4r = 2r - 2
-2r -2r
2r = -2
/2 /2
r = -1
hope this helps
the discriminant of a quadratic equation is the value b2 – 4ac. what is the value of the discriminant of 0
Cannot determine the nature of roots.
The Nature of roots simply means the category in which the roots are falling upon. The roots may be imaginary, real, unequal or equal. If the discriminate is negative, the roots will be imaginary.
The nature of roots of quadratic equations (in the form ax^2 + bx +c=0) we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.
The Discriminant of a polynomial is a quantity that depends on the coefficients and allows deducing some properties of the roots without computing them. More precisely, it is a polynomial function of the coefficients of the original polynomial.
Given that ,
b2 – 4ac
first we arrange terms in descending order -4ac + 2b
then find discriminant of quadratic equation :Δ = 4
Identify a, b, c through co-efficient:
a = 0
b= -4c
c = 2b
Substitute the value of a, b, c and calculate discriminant
([tex]b^{2} -[/tex] 4ac)
Δ = [tex]16c^{2}[/tex] determine number of solutions with discriminant:
Can't determine the nature of roots.
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solve the system by substitution
y=5x
y=9x+8
show ur work
will give brainliest!
Answer:
x = -2
y = -10
( -2, -10)
Step-by-step explanation:
set them equal
5x = 9x + 8
subtract 9x
-4x = 8
divide by -4
x = -2
plug in x
y = 5(-2)
y = -10
Can you help me with question 4 pls
Find the slope of the line.
I WILL MARK BRAINYLIST JUST HELP MEEE
Answer:
-1/3
Step-by-step explanation:
join the zoom call and i can explain that way when another question comes no need to waste points: 73216153508 thats the code to join
(4x + 10) + (3x + 8)
Answer:
7x+18
Step-by-step explanation:
add both 4x and 3x to get 7x and add 10 and 8 to get 18. therefore 7x+18
The final expression of (4x + 10) + (3x + 8) is 7x + 18.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(4x + 10) + (3x + 8)
Combine like terms.
4x + 3x + 10 + 8
7x + 18
Thus,
The final expression is 7x + 18.
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What is the slope equation? Drag and drop answers
Answer:
y = 2x + 9
Step-by-step explanation:
The y-intercept: 9
Slope: 2x
Elizabeth is making lemonade. She uses a box of mix to make of a gallon. How much mix will she need to make one gallon?
Answer:
she will need one box to make one gallon. If the question is correct, she will ned one box.
Step-by-step explanation:
small word problem! 30 POINTS
AB was dilated by scale factor of 2 to create segment A prime B prime. Which point is the center of dilation? O N M L
I think its M am i right? plz help
Answer:
It is not L.
Step-by-step explanation:
I just took the test and put L. It was wrong.
I REALLY NEED THIS RIGHT NOW!!
For 0
Answer:
Where is the question?
Step-by-step explanation:
Explain why xyz is similar to lmz
Answer:
Because they both have 65 degree angles and are both triangles
Step-by-step explanation:
Answer:
because they have the same bottom degrees
Step-by-step explanation:
(picture included) will mark brainliest
Answer:
1. A
2. C
3. B
Step-by-step explanation:
1. we can create an equation y = 48x + 96
if we plug in 1 we get 144
2. we can create an equation y = 10x to represent how much battery you will lose every hour
if we plug in 5 to x, we get y = 50
so we get the plot point: (5, 50)
3. process of elimination
plss tell me the ans
Answer:
I dont know if this is right but I think its 125/343
Find the length of side X
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the 2 other sides, that is
x² + 6² = 17²
x² + 36 = 289 ( subtract 36 from both sides )
x² = 253 ( take the square root of both sides )
x = [tex]\sqrt{253}[/tex] → C
The senior class plans a school trip to Washington DC. Students should bring money for meals and
souvenirs. They are told to bring at least $60 but no more than $135. Write a compound inequality that
represents the amounts of money a student can bring.
Answer:
The required inequality is:
[tex]\mathbf{x >60\: and\: x<135}[/tex]
Step-by-step explanation:
Minimum Money students should bring = $60
Maximum Money students should bring= $135
We need to write compound inequality that represents the amounts of money a student can bring.
Compound inequalities are combination of two inequalities combined with "and" , and "or"
And is used, when both inequalities should be true.
Or is used when one of the inequality should be true.
In our case we would use and because we need both inequalities to be true.
The required inequality is:
[tex]\mathbf{x >60\: and\: x<135}[/tex]
Chris and Evan are selling bags of popcorn to raise money for a club at school. Chris started with 10 bags and he sells 4 bags each day. Evan began with 8 bags and sells 2 bags each day. How many days will it take before they both have the same number of bags remaining? A. 2 days B. 4 days C. 1 day D. 6 days
Answer:
C. 1 day
Step-by-step explanation:
Chris:
10 - 4d
Evan:
8 - 2d
How many days will it take before they both have the same number of bags remaining?
Equate both expressions and solve
10 - 4d = 8 - 2d
Collect like terms
10 - 8 = -2d + 4d
2 = 2d
Divide both sides by 2
d = 2/2
= 1
d = 1 day
It will take 1 day before they both have the same number of bags remaining
One environmental group did a study of recycling habits in a California community. It found that 75% of the aluminum cans sold in the area were recycled. (Use the normal approximation. Round your answers to four decimal places.)
(a) If 387 cans are sold today, what is the probability that 300 or more will be recycled?
(b) Of the 387 cans sold, what is the probability that between 260 and 300 will be recycled?
Answer:
a
[tex]P( \^ p > 0.775 ) = 0.12798[/tex]
b
[tex]P( 0.6718 < p < 0.775 ) =0.87183[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.75[/tex]
Considering question a
The sample size is [tex]n = 387[/tex]
Generally the standard deviation of this sampling distribution is
[tex]\sigma = \sqrt{ \frac{p(1 - p)}{ n } }[/tex]
=> [tex]\sigma = \sqrt{ \frac{0.75(1 - 0.75)}{ 387 } }[/tex]
=> [tex]\sigma = 0.022[/tex]
The sample proportion of cans that are recycled is
[tex]\^ p = \frac{ 300}{387 }[/tex]
=> [tex]\^ p = 0.775[/tex]
Generally the probability that 300 or more will be recycled is mathematically represented as
[tex]P( \^ p > 0.775 ) = P( \frac{\^ p - p }{ \sigma } > \frac{0.775 - 0.75 }{ 0.022} )[/tex]
[tex]\frac{\^ p - p }{\sigma } = Z (The \ standardized \ value\ of \ \^ p )[/tex]
[tex]P( \^ p > 0.775 ) = P( Z > 1.136 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.591 is
[tex]P( Z > 1.136) = 0.12798[/tex]
=> [tex]P( \^ p > 0.775 ) = 0.12798[/tex]
Considering question b
Generally the lower limit of sample proportion of cans that are recycled is
[tex]\^ p_1 = \frac{ 260 }{387 }[/tex]
=> [tex]\^ p_1 = 0.6718[/tex]
Generally the upper limit of sample proportion of cans that are recycled is
[tex]\^ p_2 = \frac{ 300}{387 }[/tex]
=> [tex]\^ p_2 = 0.775[/tex]
Generally probability that between 260 and 300 will be recycled is mathematically represented as
[tex]P( 0.6718 < p < 0.775 ) = P( \frac{0.6718 - 0.75 }{ 0.022}< \frac{\^ p - p }{ \sigma } <\frac{0.775 - 0.75 }{ 0.022} )[/tex]
=> [tex]P( 0.6718 < p < 0.775 ) = P( -3.55 < Z < 1.136 )[/tex]
=> [tex]P( 0.6718 < p < 0.775 ) = P(Z < 1.136 ) - P( Z < -3.55 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.136 and -3.55 is
[tex]P( Z < -3.55 ) = 0.00019262[/tex]
and
[tex]P(Z < 1.136 ) = 0.87202[/tex]
So
[tex]P( 0.6718 < p < 0.775 ) = 0.87202- 0.00019262[/tex]
=> [tex]P( 0.6718 < p < 0.775 ) =0.87183[/tex]
The circumference of the great wheel was twelve thousand and forty-one thousand inches. The cricumference of the lesser wheel was only one thousand twenty-one and two hundred-thousand inches. How much lager was the great wheel?
Answer:
The larger wheel is 10979.04098 more than the smaller wheel.
Step-by-step explanation:
Given that,
The circumference of the great wheel was twelve thousand and forty-one thousandth inches.
C = 12000.041 inches
The circumference of the lesser wheel was only one thousand twenty-one and two hundred-thousand inches.
C' = 1021.00002 inches
We need to find how much larger was the great wheel. To find it, take the difference of C and C'.
C-C' = 12000.041 inches - 1021.00002 inches
= 10979.04098 inches
Hence, the larger wheel is 10979.04098 more than the smaller wheel.
Please help me with this
3 (1 + 5)² + 147 = 0
whats the answer?
Answer: 255
Step-by-step explanation:
Zeke read z books over the summer. Michelle read twice as many books over the summer as Zeke. Tay read 3 more books over the summer than Zeke. Which expression represents the total number of books read over the summer by Zeke, Michelle and Tay?
Answer: 4z + 3
Step-by-step explanation:
Number of books read by Zeke = z
Michelle read twice as many book as Zeke. This will be: = 2 × z = 2z
Tay read 3 more books than Zeke. This will be: = z + 3
The expression that represents the total number of books read over the summer by Zeke, Michelle and Tay would be the addition of the books read by each person. This will be:
= z + 2z + z + 3
= 4z + 3
what are the opposites of these numbers
4.25
-
5 1/4
1/2
2 1/3
-3.85
-6.1 help pls
7x + 2 = 28 + 5x, solve for x
Answer:13
Step-by-step explanation:
7x + 2 = 28 + 5x
subtract 5x on both sides
7x - 5x + 2 = 28
2x = 28 -2
2x = 26
x = 13
if correct mark braliest! :)
hope this helps
Which table represents y as a function of x
Answer:
B
Step-by-step explanation:
Only one in which x is not more than one number matching y in function.
The table 4 represent the function.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
The function should have distinct input with corresponding output.
If there are 2 same input vales then it not said to be a function.
So, according the definition the table 4 represent the function because the table 1, 2 and 3 have repeated input value,
Hence, the table 4 represent the function.
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can someone help me pls?
Go step by step to reduce the radical: √288
what I have so far:
√16 • √18
12√2
12√2 • √9
Line f passes through the points
(10, -1) and (-8, 6).
What is the slope of line f?
Answer:
-7/2 or -3.5
Explanation:
The slope is rise over run.
The rise is how much it went up and the run is how much it went right
The line went up 7 units while going -2 units to the right (meaning it went 2 units to the left)
This makes our slope 7/-2 which is the same as -7/2 or -3.5
Solve: 2|x -1| - 3 ≥ 15.
x ≥ -10 or x ≤ -8
x ≥ 10 or x ≤ 8
x ≥ 10 or x ≤ -8
x ≥ -10 and x ≤ 8
Answer:
x ≥ 10 or x ≤ -8
Step-by-step explanation:
2|x - 1| - 3 ≥ 15
Add 3 to both sides;
2|x - 1| ≥ 18
Divide both sides by 2
|x - 1| ≥ 9 or |x - 1| ≤ -9
x - 1 ≥ 9 or x - 1 ≤ -9
Add 1 to both sides;
x ≥ 10 or x ≤ -8
4. What's the fraction 18/24 reduced to its lowest terms?
A. 24/18
B. 18/24
C. 3/4
D. 9/12
Answer:
C
Step-by-step explanation:
The GCF of 18 and 24 is 6. So divide both 18 and 24 individually by six and you get 3 and 4.
Answer:
3/4
Step-by-step explanation:
divide both sides by 6
PLEASE HELP ME. IM DESPERATE. MY BRAIN STOPPED WORKING
Answer:
All of them except for the 3rd one
Step-by-step explanation:
2) 15 - 3x = 5(x + 4) - 8x
15 - 3x = 5x + 20 - 8x
15 - 3x ≠ -3x + 20
4) 2(x - 7) = 2x - 10
2x - 14 ≠ 2x - 10
1) 24x - 22 = -4(1 - 6x)
24x - 22 ≠ -4 + 24x
3) 12 - 2x = 6(2x + 2)
12 - 2x = 12x + 12
0 = 14x
0 = x, only one that has a solution