Answer:
a) 265 case
b) 4 bottles
Step-by-step explanation:
The number of bottles remaining = total number of bottles - total number of bottles placed in cases
The number of bottles remaining = 8500 - 2136
The number of bottles remaining = 6364 bottles
From the table, we can see that water is filled at 24 bottles per case. Let x be the number of cases, hence:
24 bottles per case * x case = 6364 bottles
24x = 6364
x = 6364
x = 265.16
Therefore the number of cases filled = 265.
265 cases can contain 6360 bottles
b) number of bottles remaining = 6364 bottles - (24 * 265 case) = 4 bottles
Factor 64x2 – 80xy + 25y2 using the binomial theorem.
The binomial that was expanded is .
The exponent on the factored expression is .
Answer:
Step-by-step explanation:
i need help on these
and no im not in college lol
Answer:
4) d. 30%. 5) 55/21. 6) 16
Step-by-step explanation:
4) 6/20 × 100 = 30%
5) Change mixed numbers to fraction. So you're getting 58/7 - 17/3. LCM = 21
= 174 - 119 / 21
= 55 / 21
6) Change to fraction
8/3 ÷ 1/6
= 8/3 × 6/1
= 16
a) Two cards are dealt off a well-shuffled deck. You win $1 if the two cards are
of different suits. Find the probability of your winning?
b) A coin is tossed 5 times. What is the probability that the first toss is a head
or exactly 2 out of the five tosses are heads?
c) In a shuffled 52-card deck, what is the probability that neither the top nor
the bottom card is a heart?
d) A bag contains 20 red marbles, 20 green marbles and 20 blue marbles. You
reach in and grab 15 marbles. What is the probability that they are all the
same colour?
Answer:
A.) 0.7647 b.) 13/ 16 C.) 0.9412 D.) 8.743 * 10^-10
Step-by-step explanation:
A)
Number of cards per suit = 13
Nunber of suits = 4
Probability = required outcome / Total possible outcomes
P(1) = probability of picking a card from a certain suit
P(1) = 13 / 52
Hence, probability that 2nd card will be from a suit different from the first :
Total possible outcomes = (52 - 1) = 51
Required outcomes = (13 * 3) = 39
= 39 / 51
= 0.7647
B.)
First toss being head :
Required outcome = H = 1
Total possible outcomes = T or H = 2
P(H) = 1/ 2
For 5 tosses
Total possible outcomes = 2^n = 2^5 = 32
Exactly 2 heads = 10
P(exactly 2 heads) = 10/32 = 5/16
1/2 + 5/16 = (8 + 5) / 16 = 13/16
c)
1 - P(both top and bottom are hearts)
Number of hearts = 13 ; number of cards = 52
P(both are hearts) = 13/52 * 12/51 = 0.05882
1 - 0.05882
= 0.94117
= 0.9412
d)
Either all marbles are red OR all marbles are green OR all marbles are blue
Total number of marbles = (20 + 20 + 20) = 60
Probability that all 15 marbles are of a certain color :
(20/60 * 19/59 * 18/58 * 17/57 * 16/56 * 15/55 * 14/54 * 13/53 * 12/52 * 11/51 * 10/50 * 9/49 * 8/48 * 7/47 * 6/46)
(2.9146E−10) + (2.9146E−10) + (2.9146E−10)
= 8.7438E−10
= 8.743 * 10^-10
Which model represents 2.36 divided by 4?
Answer:
[tex] = \frac{2.36}{4} \\ = \frac{59}{100} \\ = 0.59[/tex]
Identify the constant of Proportionality Write an equation to relate weight, w, to the price, p.
Answer:
m = .45
p = .45w
______
.45 = 9/20
Explanation:
m is the rate of change equal to the price over the weight or p/w.
Because this relationship is proportional, each weight divided by its corresponding price must equal the same fraction because it is constant.
We can prove this by dividing each price by its weight to find this proportion.
1.35/3 = 2.7/6 = 27/60 = 9/20 = 0.45
1.71/3.8 = 171/380 = 9/20 = 0.45
2.34/5.2 = 234/520 = 117/260 = 9/20 = 0.45.
Since equal the same value, this means that 9/20 or .45 is our proportion.
in terms of p = mw
p/w = 9/20.
p = mw → p/w = m → m = p/w = .45 .
Thus, p = .45w,
so m = .45.
Which means that for every .45 or 9/20 w or weight, there is a price of $1.
8. Cory drove 7 miles South on Kings Drive. He then turned East and went another 24 miles down Hwy 66. At this point he turned on a diagonal and took Main Street back home. How far did Cory drive? show work
Answer:
Cory drove 56 miles.
Step-by-step explanation:
In order to solve the present problem, the Pythagorean theorem must be used, as the displacements towards the south and east operate as legs and the diagonal return as hypotenuse, forming a right triangle:
7 ^ 2 + 24 ^ 2 = X ^ 2
49 + 576 = X ^ 2
2√625 = X
25 = X
Thus, since he traveled 7 miles south, 24 miles east, and then 25 miles diagonally toward his house, in total he traveled 56 miles (7 + 24 + 25).
Does the graph in Exercise 33 have a Hamilton path? If
so, find such a path. If it does not, give an argument to
show why no such path exist
;
Answer:
there is a graph first step to but I cannot draw it on here but you already have your answer without Step 2
Step-by-step explanation:
a simple path in a graph G that passes through every vertex exactly once is called a path . the graph G has no past because any past containing all vertices must contain one of the edges (e, c) (d, f ) and (B, G) move than once .
give a description of the rules for the order of operation in your own words
Answer:
Order of opoation is a techniqe that gives us a easier way to figure out work
Step-by-step explanation:
Please mark me as brainiset
PLS HELP ME ILL MARK BRAINLIST IF SOMEONE CAN HELP ME WITH THESE 2 QUESTIONS!!
1. Andrew grew 1 3/4 inches last year. This year he grew 2 2/3 inches. What was his total growth for the two years?
-
2. Abbey rode her bike for 1 3/4 hours on Saturday and 1 5/8 hours on Sunday. What is the total amount of time she rode her bike on these two days ?
Answer:
1. Andrew grew 4 5/12 inches in 2 years
2. Abbey rode her bike for 3 3/8 hours in 2 days.
Step-by-step explanation:
When adding fractions you must have a common denominator for both of them.
First make the mixed fraction, improper fractions.
1 3/4 = 7/4
2 2/3 = 8/3
7/4 x 3/3 = 21/12
8/3 x 4/4 = 32/12
21 + 32 = 53
53/12 = 4 5/12
1 3/4 = 7/4
1 5/8 = 13/8
7/4 x 4/4 = 28/16
13/8 x 2/2 = 26/16
26 + 28 = 54
54/16 = 3 3/8
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
The top of a 25-foot ladder is sliding down a wall at a rate of 3 feet per second. When the top of the ladder is 15 feet from the ground, what is the rate of change between the bottom of the ladder and the wall?
Answer:
1.8ft/s
Step-by-step explanation:
Using the formula for calculating Speed as shown:
Speed = Distance/Time
Time = Distance/Speed
t = d/s
Given
d1 = 25 foot
s1 = 3ft/s
d2 = 15ft
Required
s2
Using the formula;
d1/s1 = d2/s2
s2 = s1d2/d1
s2 = 3*15/25
s2 = 45/25
s2 = 1.8ft/s
Hence the rate of change between the bottom of the ladder and the wall is 1.8ft/s
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
-15 = 8z + 7
what is z?
Answer:
-2.75
Step-by-step explanation:
Subtract 7 by both sides to get -22 = 8z. Divide 8 on both sides. You get -2.75
Find the value of x.
Answer:
[tex]\sqrt{30}[/tex]
If z>0, what is the quotient of 20√z6 ÷ √16z7 in simplest radical form
Answer:
5√z/z
Step-by-step explanation:
i took the test(:
The quotient of [tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex] in simplest radical form is [tex]\frac{5\sqrt{z} }{z}[/tex].
How to express a simplest radical form?Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
Given
[tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex]
Rewrite as fraction: [tex]\frac{20\sqrt{z^{6} } }{\sqrt{16z^{7} } }[/tex]
Factor and rewrite the radicand in exponential form: [tex]\frac{20\sqrt{z^{6} } }{\sqrt{4^{2}. z^{6} .z} }[/tex]
Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex] :
= [tex]\frac{20\sqrt{z^{6} } }{\sqrt{4^{2} .\sqrt{z^{6}.\sqrt{z} } } }[/tex]
Simply the radical expression, we get:
= [tex]\frac{20z^{3} }{4z^{3}\sqrt{z} }[/tex]
Reduce fraction to the lowest term by canceling the greater common factor, we get
= [tex]\frac{5}{\sqrt{z} }[/tex]
Rationalize the denominator
= [tex]\frac{5\sqrt{z} }{\sqrt{z} .\sqrt{z} }[/tex]
= [tex]\frac{5\sqrt{z} }{z}[/tex]
Hence, the quotient of [tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex] in simplest radical form is [tex]\frac{5\sqrt{z} }{z}[/tex].
Find out more information about simplest radical form here
https://brainly.com/question/12966955
#SPJ3
Algebraic Expression
43 times greater than
the sum of 57 and 93
What’s 65+56+4+-4
;)
Answer:
119
Step-by-step explanation:
13 degrees below 0 pls
Answer:
-13
Step-by-step explanation:
Armando is baking 36 batches of brownies for the bake sale. Each batch of
browries takes 1 1/15
cups of flour. What is a reasonable estimate of the
amount of flour that he will need to bake all thirty-six batches of brownies?
A.18
B.36
C.39
D.72
Answer:
apple
Step-by-step explanation:
There were 40 desks in a class. The teacher wanted to arrange the desks in a rectangle with at least 4 desks in each row and column. Which of the following is a possible desk arrangement?
A) 20 rows and 20 columns
B) 5 rows and 8 columns
C) 2 rows and 20 columns
D) 7 rows and 7 columns
Answer:
B) 5 Rows and 8 Columns
Step-by-step explanation:
First you take the information from the question to know that C is wrong. This is because It has only 2 desks in rows and the question asks for 4 desks in rows and columns. Next you know that you have 40 desks so the two numbers need to multiply to 40. This makes A and D wrong, leaving your answer as B.
Kenny drank 37 ounces of milk during the
day. How many cups of milk did he drink?
Answer:
4.625
Step-by-step explanation:
that is the answer
Graph 16x−4y=2.Please answer I will make you the brainlist and rate you 5 stars if good.And report if bad.
Answer:
First one is the graph second one is the equation
Step-by-step explanation:
Hope this helps :)
Answer:
Step-by-step explanation:
as graphed
Which expression shows the result of applying the distributive property of 3(2x – 6)?
(NEED ANSWER QUICK!)
52 - 3
20 – 18
62 - 6
6.2 – 18
Answer:
6x - 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Step-by-step explanation:
Step 1: Define
3(2x - 6)
Step 2: Expand
Distribute 3: 3(2x) + 3(-6)Multiply: 6x - 18Step-by-step explanation:
[tex] \huge3(2x - 6) = 6x - 18[/tex]
(6x-18) is the right answer.caleb bought 6 packs of pencils for $18. How much will he pay for 8 packs of pencils.
Answer:
The answer is 24$.
Step-by-step explanation:
If Caleb bought 6 packs of pencils for 18$, each pack of pencils may be 3$.
If Caleb buys 8 packs of pencils for 3$, the answer would be 24$.
Solve for x/4+12=-12
a triangle has 2 angles with measures of 40 degrees and 60 degrees. what is the measure of the third angle?
acute
obtuse
right
it doesnt make a triangle
Answer:
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees
180-40-60 = 80
80 degrees
80 degrees is an acute angle.
Answer:
It would be 80 degrees which is an acute angle
Step-by-step explanation:
A triangle is 180 degrees in total 60 degrees + 40 degrees is 100 degrees leaving you with 80 degrees its acute because, 0 degrees to 90 degrees is an acute angle. Hope this helped!
Slope of the line that passes through (6,0) and (0,-6)
Hey there!
The formula is:
• m = rise / run
• m = y₂ – y₁ / x₂ – x₁
• y₂ = –6
• y₁ = 0
• x₂ = 0
• x₁ = 6
• Equation: “–6 – 0 / 0 – 6”
–6 – 0 = –6 ⬅️ numerator (TOP number)
0 – 6 = –6 ⬅️ denominator (BOTTOM number)
Equation: –6 / –6
SOLVE above and you will have your ANSWER.
–6 / –6 = 1 because double negatives makes a negative.
The slope of line that passes through your given points is: 1
Answer: 1 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Find the rate of change on the graph
Answer:
44 4/9Step-by-step explanation:
Initial value is $400
Value after 9 years is zero
Change in value over 9 years is $400
Rate of change is:
400/9 = 44 4/9Answer:
Resale value of a refrigerator
The rate of change on the graph :---
(Final amount - initial amount)/(Final year - initial year)
[tex] \frac{(0 -400)}{(9 - 0)} = \frac{-400}{9} =\boxed{-44.44}✓\\ [/tex]
slope is negative as the amount is decreasing every year
$44.44 per year is the right answer.Can someone solve this problem?
[tex]8y - 7 + 7[/tex]
Thank you very much.
Also Hedland gets a shoutout.
SOMEONE PLEASE HELP ME
I have so much math to do, can someone please help me out by doing this.
Answer:
1-4
An exponent is the amount of times a number is multiplied by itself
Ex: For number 1, 43 is being multiplied 4 times so it would be 43 to the 4th power (43 with a 4 above, I can't really type it so I apologize)
5-10
You might or might not need a calculator especially for the decimal but you will input the number into the letter "n" and multiply that by itself however many number of times is on the exponent.
Ex: For number 5, n=8 to the 2nd power would be 64 because 8 × 8 = 64
And so on and so forth for the rest of the questions! If you don't understand I would highly recommend asking your teacher or looking up videos because I feel like that would help more than typing it out in words! Good luck though!
1, 172 2, 300 3, x3 4, p5
i will put the rest in the comments
if 50% is 100 what is 25%, 75%, and 100%
Step-by-step explanation:
25%=50
75%=150
100%=200
hope it helps
mark me brainliest
Solve for x 4x^2+72x+320=0
Answer:
i hope this helps
Step-by-step explanation:
