Answer:
44 inches and 24 inches
Step-by-step explanation:
Let [tex]l,b[/tex] denotes length and breadth of a rectangle.
[tex]lb=1056[/tex]
A square of 3 inches is cut from each corner, and an open box is made by turning up the ends and sides.
New length [tex]=l-6[/tex] inches
New breadth [tex]=b-6[/tex] inches
Height of box [tex]=3[/tex] inches
Volume of box = length × breadth × height
[tex](l-6)(b-6)3=2052[/tex]
[tex]lb-6l-6b+36=684\\6(l+b)=408\\l+b=68\\b=68-l[/tex]
Put [tex]b=68-l[/tex] in [tex]lb=1056[/tex]
[tex]l(68-l)=1056\\l^2-68l+1056=0\\l^2-44l-24l+1056=0\\l(l-44)-24(l-44)=0\\(l-24)(l-44)=0\\l=24,44[/tex]
At [tex]l=24,b=\frac{1056}{24}=44[/tex] inches
At [tex]l=44,b=\frac{1056}{44}=24[/tex] inches
what is the constant of proportionality in y=3 and x=46.50
plsssssssss help its for homework
Answer:
58y is the correct answer to this question
If a family has 8 children , in how many ways could the parents have 5 boys and 3 girls
That depends on what you mean by a "way" of having children. Some of the more obvious answers: One. Four boys and four girls, there's no other way of getting that many boys or that many girls. 40320. Usually each child has its own distinct DNA. The information in DNA can be converted into a number, and there are 8-factorial = 8! = 40320 orderings for eight numbers. 70. If each boy is considered to be the same until it is born and then named, so that the first four boys will always be named the same way and the same for the girls, then you can find the number of ways using binomial coefficients. The number of ways of arranging four equal boys and four equal girls into an order, is the same as the number of ways of choosing four numbers from 1 to 8 representing the position of the boys in that order. The number of ways of choosing a set of 4 numbers from 8 is called "8 choose 4" sometimes written 8C4 and is calculated as (8*7*6*5)/(4*3*2*1) (The numererator product in nCr stops when you have r numbers) (8*7*6*5)/(4*3*2*1) = 70
Answer:
As parents have 5b and 3 g
so if we add them it becomes 8
hence family has 8 children
PLEASE HELP ME WITH GEOMETRY. I need help with this problem but I don't just want the answer, I want to know how to do it. Thank you.
Answer:
Pythagorean theorm
Step-by-step explanation:
A^2+B^2=C^2
c is the long line, a and b are the outside lines
Can someone help on this please?
Answer:
The mean is 8.4
Step-by-step explanation:
First you find the class centers.
3-6 = 4.5
7-10 = 8.5
11-14 = 12.5
15-18 = 16.5
The sum of all the scores = 4.5 * 7 + 8.5 * 10 + 12.5 * 6 + 16.5 + 2 = 210
The sum of the number of scores = 7 + 10 + 6 + 2 = 25
The mean = 210/25 = 42/5 = 8.4
find the number n of hours you need to study on Saturday so that mean number of hours you study per day is 1.5
Days Hours
Sunday 0
Monday 1.5
Tuesday 2.5
Wednesday 2.5
Thursday 3
Friday 0
Sunday N
Answer:
1 hour
Step-by-step explanation:
We are given that
Day Hours
Sunday 0
Monday 1.5
Tuesday 2.5
Wednesday 2.5
Thursday 3
Friday 0
Saturday n
Mean number of hours of study per day=1.5
Mean=[tex]\frac{sum\;of\;data\;}{total\;number\;of\;data\;points}[/tex]
Total number of days=7
Using the formula
[tex]1.5=\frac{0+1.5+2.5+2.5+3+0+n}{7}[/tex]
[tex]1.5\times 7=9.5+n[/tex]
[tex]10.5-9.5=n[/tex]
[tex]n=1[/tex]
Hence, number of hours you need to study on Saturday=n=1
1. The average police office writes 40 tickets each week (with a standard deviation of 12). If the number of tickets a police officer writes in a week is normally distributed, what is the probability that an officer writes more than 60 tickets in a week?
Answer:
3/5
Step-by-step explanation:
Using eight eights and addition only, can you make 1000?
Answer:
888 + 88 + 8 + 8 + 8 = 1000
simple
find the logarism of 6395
Answer:
this is clear that answer
A 12-m ladder is leaning against a wall.
The foot of the ladder is 3 m from the base of
the building. How far up the wall is the top
of the ladder?
Answer:
Step-by-step explanation:
Use Pythagorean's Theorem for a right triangle. Your best bet when learning/visualizing word problems is to draw a picture, then learn how to visualize in your head over time.
[tex]3^2+x^2=12^2\\9+x^2=144\\x=\sqrt{135}[/tex]
The radical can be further simplified because 135 is the product of 9 and 15. 9 has a perfect root of 3.
[tex]x=3\sqrt{15}[/tex] meters or 11.62 meters
Use the given information to solve for x and y
Answer:
x = 10 and y = 7
Step-by-step explanation:
Equalateral triangle means all sides are equal.
x = 10, easy
make y + 3 = 10
y = 7
Easy, no real math needed. lol
help me plz someone ...
Answer:
f
Step-by-step explanation:
Anna purchased a phone with a rectangular screen that measures 6,5 centimeters in width and 12 centimeters in length. She wants to know the diagonal measure of
the screen. Round your answer to the nearest tenth of a centimeter
6.5 cm
12 cm
Answer:
78? pls correct me if I'm wrong
Step-by-step explanation:
Length times Width equals Area.
6.5×12=78
Answer:
anywhere within 13.5 < cm < 14.5 ie) 13.7cm
Step-by-step explanation:
Pythagoras for all diagonals or right angle sides.
12^2 + 6.5^2 = c^2
sqrt 144 + sq rt 42.25 = c^2
c^2 = sq rt 186.25 = 13.6473441 = 13.7cm
nearest 10th of a cm = 13.5<cm<14.5
if cos theta = 3/5, then tan theta =
Step-by-step explanation:
cos theta=3/5
theta=53.13°
tan theta =1.33
A motor cyclist completes a journey at an average speed of 65 mph in 3½ hours. Calculate the distance travelled.
Answer:
227.5
Step-by-step explanation:
65 mhp
after 3.5 h
Just multiply
65 x 3.5 = 227.5
Answer:
227.5
Step-by-step explanation:
multiply 65 mph to 3 1/2 [3.5 (estimated)] to calculate the distanbce travelled
What is the sum? 3x^2-2x-1/x-5+-2x^2+x-5/x-5
Answer: 5(1-x) over x
Step-by-step explanation: Combine the rational expressions using the least common denominator (LCD).
2. It costs Shermano's pizza $2 to make a pizza, if the markup is 550%.
what is the selling price for a pizza? *
Ron sells bananas for $0.60 each. How many bananas did Ron sell if he made $150.00, after taking off $39.00 for his banana stand rental?
The number of bananas that Ron sold is 315.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Cost for a banana = $0.60
Also given, he made $150.00, after taking off $39.00 for his banana stand rental.
Total amount of money that Ron made by selling the bananas = $150 + $39 = $189
Number of bananas sold = 189 / 0.6
= 315
Hence Ron sold 315 bananas.
Learn more about Division here :
https://brainly.com/question/28598725
#SPJ2
Write an expression that is equivalent to 27e+24
Answer:
3(9e+8)
Step-by-step explanation:
I hope this helps
A set of 6 number cards contain the numbers 2, 5, 7, 8, 9, and 11. Which ratio is less than the ratio of odd number cards to total cards in this set?
Answer:
[tex]Ratio = 2:3[/tex]
Step-by-step explanation:
Given
[tex]Cards = \{2,5,7,8,9,11\}[/tex]
Required
Ratio of odd numbers to total
First, list out the odd numbers
[tex]Odd = \{5,7,9,11\}[/tex]
The card has 4 odd numbers out of a total of 6.
So, the ratio is:
[tex]Ratio = Odd : Total[/tex]
[tex]Ratio = 4:6[/tex]
Divide by 2
[tex]Ratio = 2:3[/tex]
Hence, the ratio of odd to total is 2 to 3
Help ASAP!!! Very confused
Answer:
Angle JKM = ANGLE JKL - MKL
= 155 - 39
= 116
I need help with math the question is What area of a square whose sides measure 3 feet?
A.12 square feet
B. 6 square feet
C. 9 square feet
D. 18 square feet
Answer:
c
Step-by-step explanation:
Since area is lw 3*3=9
can someone please solve this?
I'm stuck and I don't know how
Answer:
D
Step-by-step explanation:
If im inncorect you can check this with "Mathaway"
Answer: D
Hope this helps!
5. Amy, Beth and Colin share some sweets in the ratio 2:3:4
Amy received 8 sweets.
Work out the number of sweets Beth receives.
Answer:
let the rati be x
2x=8
x=4sweets
beth=3x=3×8=24 sweets
Step-by-step explanation:
plz make me brainliest
8 miles is approximately 6 kilometers. How many kilometers is equal to 40 miles?
Answer:
30 kilometers
Step-by-step explanation:
The price of parking for 2 hours or less at the airport is increasing
from $2.50 to $5.00. What is the percent of price increase?
Answer:
it increased 50%
Step-by-step explanation:
5 / 2.5 = 2
100 / 2 = 50%
Answer:
50% increase
Step-by-step explanation:
half of 5.00 is 2.50
Translate and solve: −5 times b is no less than −35.
William is thinking of a number, n and he wants his sister to guess the number. His first clue is that five less than two times his number is at least negative three and at most fifteen. Write and solve a compound inequality that shows the range of numbers that William might be thinking of.
Answer:
-3[tex]\leq \\[/tex]2n-5[tex]\leq[/tex]15
Step-by-step explanation:
2n-5 at least -3, at most 15simplify the expression 3(6/5x+4y+6)-2(9/5x+8y+3)
Answer:
-20(y-3)/3
Step-by-step explanation:
The expression can be written simplified as 6x - 4y + 12.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given as:
3(6/5x+4y+6)-2(9/5x+8y+3)
To simplify the expression, we need to use the rules of algebra to combine like terms and perform the necessary operations in the correct order.
First, we can distribute the 3 and the -2 to the terms inside the parentheses:
3(6/5x+4y+6) - 2(9/5x+8y+3)
= 18/5x + 12y + 18 - 18/5x - 16y - 6
Next, we can combine like terms:
= 18/5x - 18/5x + 12y - 16y + 18 - 6
= 6/5x - 4y + 12
Finally, we can simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 1:
= (6/1) / (5/1)x - 4y + 12
= 6x - 4y + 12
Therefore, the simplified expression is 6x - 4y + 12.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ2
please solve and receive brain list
Answer:
1 and 1
Step-by-step explanation:
Answer:
x = 1 and y = 1
Step-by-step explanation:
This is a system of equations. To solve it, you need to get one of your variables by itself first. (that means getting the x, or y by itself, just like how you solve equations when you only need to solve for one variable). I decided to solve the first equation, which is -x - 2y = -3 I'll solve it for the x, since there is no number being multiplied to it.
Plz help me solve this!!-
Amy drove her hoverboard 3 miles in 40 minutes. Jim hopped 2 miles in 20 minutes. Who traveled at a greater average speed? Define an appropriate unit of speed and provide mathematical justification for your answer
Answer:
Amy traveled at 4.5 mph, while Jim traveled at 6 mph. Therefore, Jim traveled at a greater average speed.
Step-by-step explanation:
Given that Amy drove her hoverboard 3 miles in 40 minutes, while Jim hopped 2 miles in 20 minutes, to determine who traveled at a greater average speed, the following calculation must be performed:
(3/40) x 60 = Amy's speed
0.075 x 60 = Amy's speed
4.5 = Amy's speed
So Amy traveled 4.5 miles per hour.
(2/20) x 60 = Jim's speed
0.1 x 60 = Jim's velocity
6 = Jim's speed
Instead, Jim traveled 6 miles per hour.
Therefore, Jim was the one who traveled at a greater average speed.
1 - 2x + 5 = 4x - 3
solve
Answer:
3/2
Step-by-step explanation:
1-2x+5=4x-3
1-2x-4x+5=-3
1-6x+5=-3
-6x+6=-3
-6x=-3-6
-6x=-9
6x=9
x=9/6
simplify
x=3/2
Answer:
x=1.5
Step-by-step explanation:
combining everything: -2x+6=4x-3
adding 2x to both sides, you get
6=6x-3
add 3 to both sides, you get 9=6x
divide, and then you get 1.5
uwu