Answer:
P + H ≥ 20
P*0.8 lb + H*1.3 lb ≤ 30lb
Step-by-step explanation:
Let's define H as the number of hardcover books.
Let's define P as the number of paperback books.
Now we have the restrictions:
"... so that there are at least 20 books in each box..."
Then:
P + H ≥ 20 (the total number of books per box is 20 or larger)
"...but the boxes cannot weigh more than 30 pounds."
P*0.8 lb + H*1.3 lb ≤ 30lb (the maximum weight that we can have in the box is 30 pounds)
Then the set of constraints is:
P + H ≥ 20
P*0.8 lb + H*1.3 lb ≤ 30lb
Notice that this system has a lot of possible solutions.
P = 20 and H = 0 is a solution
P = 21 and H = 0 is a solution.
P = 19 and H = 1 is a solution.
etc...
What is the standard form polynomial representing the volume of this shipping container?
6x + 15
4x² + 3x
x² – 8
Answer:
Step-by-step explanation:
Volume of the shipping container = Lengt * Breadth * Height
Given
Length = 4x² + 3x
Breadth = x² – 8
Height = 6x +15
Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)
( 4x² + 3x)( x² - 8) = 4x⁴-32x²+3x³-24x
( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x
(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x
Collect like terms
( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x
Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x
Answer:
V = 24x^5+78x^4-147x^3-624x^2-360x
A dot plot shows the
on a number line.
symmetry
cluster
frequency of data
Answer:
Frequency
Step-by-step explanation:
"A dot plot is a visual display in which each piece of data is represented by a dot above a number line, showing the frequency of each data value. The total number of dots in the plot is the total number of values in the data set. The data points must all be in the same units."
5^6/5^2
Which of the following expressions is equal to
?
52
O 5.5.5
1
5.5.5.5
5.5.5.5
3
Answer:
3
Step-by-step explanation:
5 by 6 is 30 divided by 5 by 2
I need the answer to this equation 2x + 8 = 2x -3 as soon as possible doing a tesst
HELP HELP HELP PLS If DF = 6x - 2 and FE = 10x - 18, then which the correct equation to solve for x? 2(6x - 2) = 10x - 18 6x - 2 +10x - 18 = 180 6x - 2 = 10x - 18
property operation of 6 { 2.7 + 4 }=6{ 4 + 2.7 }
2x + 1 = 16
0/1 help it’s due today
Answer:
x = 7.5
Step-by-step explanation:
I need help!!!!!!!! 2c-2.6=1.8
Answer:
thats right
Step-by-step explanation:
Answer:
c= 2.2
Step-by-step explanation:
assuming your solving for c
2c-2.6=1.8 first isolate c by adding 2.6 on both sides
2c= 4.4 now divide both sides by 2
c= 2.2
The midpoint of gh is m(4,-3). One endpoint is G(-2,2). Find the coordinates of endpoint H
Answer:
Step-by-step explanation:
(-2 + x)/2= 4
-2 + x = 8
x = 10
(2 + y)/2 = -3
2 + y = -6
y = -8
(10, -8) for endpoint H
A scale drawing of a school bus has a scale of one/2 inches to 5 feet if the length of a school bus is 4 1 over2 inches on the scale drawing what is the actual length of the bus
Answer:
162
Step-by-step explanation:
Plz helpp me!!?:) I don’t understand
-24 - (-13) = w
Simplify the left side
-24 + 13 = w
Add together like terms
-11 = w
Solve for x: 3x−2=8x+8
Answer:
-2 =x
Step-by-step explanation:
3x−2=8x+8
Subtract 3x from each side
3x-3x−2=8x-3x+8
-2 = 5x+8
Subtract 8 from each side
-2-8 = 5x+8-8
-10 = 5x
Divide each side by 5
-10/5 = 5x/5
-2 =x
Answer:
-2
Step-by-step explanation:
Subtract 8x from both sides.
3x−2−8x=8x+8−8x
−5x−2=8
Step 2: Add 2 to both sides.
−5x−2+2=8+2
−5x=10
Step 3: Divide both sides by -5.
−5x
−5
=
10
−5
x=−2
Please help me out A,B,C OR D?⚠️
Answer:
what r u tryna figure out
Answer:
B
Step-by-step explanation:
II stands for 2 in roman numerals
18/5 turns into 3 3/5
4.66666666666666 is just what it is
square root of 30 is in between 5 and 6 so yeah
If the salesperson made $2,500,000 in total sales, is their yearly salary $205,000? Yes or No.
what is the square root of 27/64 cubed
Answer:
0.421875
Step-by-step explanation:
0.42 simplified.
I hope this helps!!
Cantaloupes are on sale at four different grocery stores. Which store offers
the lowest unit rate for cantaloupes, in dollars per pound?
$4.50
• Fresh Farm:
5 pounds
$
• Fruit Garden:
1
3
pound
$4.00
• Mother Nature:
5 pounds
• Country Market: $0.85/pound
Answer:
fruit garden
Step-by-step explanation:Its 60 Cents- answer came from Apex
Rylie paid $12 for two cans of racquetballs. The green bars represent the amount she spent, and the blue bars represent the number of cans she bought. What is the ratio of how much Rylie paid to the number of cans she purchased, in simplest form?
Answer:
18$
Step-by-step explanation:
If you divide 12 by 2 then you will get 6 so 6 times 3=18.
sorry if I'm wrong.
Answer:
18:3 should be the answer
Step-by-step explanation:
Evaluate ( r - s) 3 + r 2 if r=8 s=5
Please help me and I will make you the brainiest
Answer:
y=a-4 divided 3-a and a cut so remember 4divided3 so, y= 1.33
Step-by-step explanation:
equations with variables
-2y+3=8y-7
Answer:
y=1
Step-by-step explanation:
-2y +3 = 8y -7
-10y = -10
y = 1
77 is written as the product of two prime numbers 7 × 11. Can 702 be written as the product of two prime numbers? If not, why? What about 703?
Answer:
702 can't be written as the product of 2 prime numbers because if you divide 702 by 2 then you get 351 and that is not a prime number. Therefore, 702 is a prime number.
The prime factorization of 703 is 19 × 37. Since it has a total of 2 prime factors, 703 is a composite number.
Maggie owes the candy store $35. Each of 5 friends will help her pay off her debt. How much will each friend pay?
Answer: $5
Step-by-step explanation:
1)Take the total amount of money divided by the number of friend like this:
35/5
2)You should get $5 which is the amount of money that each friend will have to pay.
Answer:
5
Step-by-step explanation:
$35 divided by 5 friends = $5 per person
4 - 9 what’s the answer
Answer:
-5
I hope this helps!
Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true? The pool must have been empty for the entire interval. The pool must have been the same depth at the start of the interval as it was at the end of the interval. The pool must have been deeper at the end of the interval than it was at the start of the interval. The pool must have been more shallow at the end of the interval than it was at the start of the interv
Answer:The pool must have been the same depth at the start of the interval as it was at the end of the interval.
Step-by-step explanation:
The average rate of change is calculated as:
[final value - initial value] / time interval.
Then, the average rate of change does not take into account intermediates values, and you cannot draw any conclusion about such intermediate values.
In the given case you have:
average rate of change in depth = [final depth - initial depth] / 2 weeks.
0 = [final depth - initial depth] / 2 weeks.
⇒ 0 = final depth - initial depth
⇒ final depth = initial depth.
That is why the conclusion is the second statement of the answer choices: the pool must have been the same depth at the start of the interval as it was at the end of the interval.
In between the pool might have been deeper, more shallow, empty or change in any form, since the average rate of change does not tell the full history but only the net change.
Answer:
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
Step-by-step explanation:
got it right on edge.
PLEASEEEE HELPPPP
Add. 3+(-7)=
Answer:
Step-by-step explanation:
It’s exactly like saying -7 + 3.. -7 is the bigger number so you take away from that the answer is -4
Answer:
-4
Step-by-step explanation:
Remove Parentheses
3-7
Subtract
3-7 = -4
Answer
-4
Hope this helped
Brainliest is appreciated/
PLEASE HELP I WILL MARK YOU BRAINLIEST A rectangular prism’s base has an area of 40 cm. The prism’s height is 5cm. What is the volume of the prism?**
Answer:
200 cc
Step-by-step explanation:
Volume of the prism = Area of base * height
= 40*5
= 200 cubic cm
25-3x=2x help what’s x
Answer:
x=5
Step-by-step explanation:
add 3x to 2x
25=5x
then divide 25 by 5x
5=x
and flip
x=5
f(5)= 2(5)+ 4
Thanks
Answer: I HOPE IT HELPS OR WATCH VIDOES ABOUT IT
Step-by-step explanation:
Two unique points define a line. Other geometric figures also may pass through those two points (you will learn those later).
There are several forms of the equation of a line:
Standard form Ax + By = C
Slope-intercept form y = mx + b
Point-slope form y – y1 = m(x – x1)
Two-point form y – y1 = [ (y2 – y1)/(x2 – x1) ](x – x1)
O.K., you picked the two-point form, right?
The points are P1: (5,5) and P2: (7,-4)
y - 5 = [ ((-4) - 5)/(7 - 5) ] (x - 5) (put in x and y values of points)
y - 5 = [ -9 / 2 ](x - 5) (simplify)
y - 5 = -9/2x + 45/2 (distribute -9/2)
y = f(x) = -9/2x + 55/2 (add 5 to both sided)
Check (very important):
Is (5,5) on the line? 5 = (-9/2)(5) + 55/2 ?
5 = -45/2 + 55/2 ?
5 = 10/2 yes.
Is (7,-4) on the line? -4 = (-9/2)(7) + 55/2 ?
-4 = -63/2 + 55/2 ?
-4 = -8/2 ? yes.
Use the associative property to create equivalent expressions to a + b + (c + d). Which statements are true? Check all that apply. The associative property allows us to change the grouping of terms that are added together. When changing the grouping, the order of the terms stays the same; only the parentheses change position. The expression a + (b + c) + d is an equivalent expression. The expression ab(cd) is an equivalent expression. The expression (a+ b) + c + d is an equivalent expression. The expression a + b(c + d) is an equivalent expression.
Answer:
a.The associative property allows us to change the grouping of terms that are added together.
b.When changing the grouping, the order of the terms stays the same; only the parentheses change position.
c.The expression a + (b + c) + d is an equivalent expression.
e.The expression (a+ b) + c + d is an equivalent expression.
Step-by-step explanation:
The correct statements are statement first, statement second, statement third, and statement fifth are correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
As we know,
The associative property allows us to change the grouping of terms that are added together.
= a + (b + c)
= (a + b) + c
The correct statements are:
The associative property allows us to change the grouping of terms that are added together.When changing the grouping, the order of the terms stays the same; only the parentheses change position.The expression a + (b + c) + d is an equivalent expression.The expression (a+ b) + c + d is an equivalent expression.Thus, the correct statements are statements first, second, third, and fifth are correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ1
Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table? Number of Puzzles (x) Number of Pieces (y) 4 420 6 630 8 puzzles and 800 pieces 8 puzzles and 840 pieces 10 puzzles and 1,000 pieces 10 puzzles and 1,200 piece
Answer:B
Step-by-step explanation: