The volume of the cube container is the amount of space in it, and the maximum measurement of the edge of the larger cube is 5.5 inches
How to determine the maximum edge of the larger cube?The volume of the container is given as:
V = 64 cubic inches
When it increases by a maximum of 100 cubic inches, the new volume becomes
V = 164 cubic inches
The volume of a cube container is calculated using:
V = l³
Where l represents the edge length of the cube
Substitute 164 for V
l³ = 164
Take the cube root of both sides
l = 5.5
Hence, the maximum measurement of the edge of the larger cube is 5.5 inches
Read more about volumes at:
https://brainly.com/question/1972490
Farmer Watson wishes to fence a rectangular plot of ground measuring 235 ft by 150 ft.
(a) What amount of fencing (in feet) is needed?
(b) What is the total cost (in dollars) of the fencing if it costs $1. 69 per foot?
Answer:
Perimeter = 2(length + width) = 2(235 + 150).
Cost = perimeter times $1.69
Step-by-step explanation:
Enter the correct answer in the box.
If x≠0, what is the sum of 4^3vx^10 + 5x^33v8x in simplest form?
Step-by-step explanation:
Check out the attached photo. Leave a comment if something's confusing.
Twice a number added to their half of itself equals 20 find the number
Answer:
[tex]x(2) + 5\\[/tex]
The number is 8 because [tex]8 * 2 = 16[/tex]
And if you add 4, you get 20
Hence, the number is 8
Answer:
8
Step-by-step explanation:
let the number be x
=> 2x+(x/2) = 20
=> 4x+x/2 = 20
=> 5x/2 = 20
=> 5x = 20*2
=> 5x = 40
=> x = 40/5
=> x = 8
can i get brainliest
make a math slogan (it should be catchy and meaningful)
Answer:
Be a wise girl or guy, Give math a try!
Step-by-step explanation:
I need help rn.................
Answer:
Alex has £44
Pierre has £66
Step-by-step explanation:
P = A + 20
P+ 22 = 2A
solve for A
plug in p
(A + 20) + 22 = 2A
A + 44 = 2A
subtract A from both sides
44 = A
solve for P
plug A in
P = 44 +22
P = 66
Pls give brainlyist
Please help!! What is the area to this figure??
Answer:
318
Step-by-step explanation:
find area of the big triangle then split the remaining shape into a large rectangle and a smaller rectangle
Answer:
318 mi²
Step-by-step explanation:
Formulae
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
Divide the figure into 1 triangle and 2 rectangles (see attachment).
Area of Triangle 1 = 1/2 x (10 + 6 + (11 - 8)) x 22
= 1/2 x 19 x 22
= 209 mi²
Area of Rectangle 2 = 5 x (11 + 6)
= 85 mi²
Area of Rectangle 3 = 4 x 6
= 24 mi²
Total area = 209 + 85 + 24 = 318 mi²
simplify the following quadratic expressions
1) 2x^2 -3x -9
2) 3x^2 +5x +2
Answer:
Below in bold.
Step-by-step explanation:
1) 2x^2 -3x -9
2 * -9 = -18. We need 2 numbers whose product is -18 and whose sum is -3. They are -6 and + 3. So:
= 2x^2 - 6x + 3x - 9
= 2x(x - 3) + 3(x - 3)
= (2x + 3)(x - 3)
2) 3x^2 + 5x +2
Now 3 * 2 = 6 We need to numbers whose product is + 6 and whose sum is +5. Theres are + 3 and + 2>
= 3x^2 + 3x + 2x + 2
= 3x(x + 1) + 2(x + 1)
= (3x + 2)(x + 1)
=
A local hamburger shop sold a combined total of 394 hamburgers and cheeseburgers on Wednesday. There were 56 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?
Answer:
Step-by-step explanation:
Total number of Hamburgers and Cheeseburgers = 394
Let the number of hamburgers = x
x + x - 56 = 394 Combine the left
2x - 56 = 394 Add 56 to both sides
2x - 56 + 56 = 394 + 56 Combine
2x = 450 Divide both sides by 2
2x/2 = 450/2
x = 225
Answer
225 hamburgers were sold169 Cheeseburgers soldHelp with this please and thank you.
Answer:
the first
Step-by-step explanation:
the first and the second set both multiply out correctly to the original expression, but -2x² is of greater dimension than -2x.
How much food can this container hold? Express your answer in terms of it. 277 in. 3 in. 9 in. 187 in 3 811 in. Ort in. 3 00
AGHHH HELP
Answer:
27 pi in^3
Step-by-step explanation:
volume of the cone
= 1/3 x pi x r^2 x h
= 1/3 x pi x(3)^2 x (9)
= 27 pi in^3
45N,30N what is the resulant force on the boat
Answer:
15N.
Step-by-step explanation:
45 - 30
= 15N.
Answer:
15
Step-by-step explanation:
45N - 30N = 15N
The resultant force on the boat is 15N.
Find the surface area of the pyramid shown to the nearest whole number.
6ft 5ft 5ft
Answer:75,
Step-by-step explanation:
1/2 bh= A for one T 5*5=25 25*6= 150
150/2=75
OR
5*5/2=12.5
12.5*6=75
Please Help Meeeee!!! Will Mark Brainliest!!!
Answer:
Part A: Yes. For every 10 employees, an increase of 80 products produced.
Part B: y = 8x + 120
Part C: Y-intercept indicates the number of products produced when there are 0 employees. The slope indicates the rate of increase of production with the number of employees
Step-by-step explanation:
Part A: 80 - 0 = 80 employees; 760 - 120 = 640 products. Therefore, 640/80 = 8 products per employee or 80 products per 10 employees
Part B: For y = mx + c ,
m = (Y1 - Y0)/(X1 - X0) = (760 - 120)/(80 - 0) = 8
c = Y-intercept, when X = 0. Therefore c = 120
An airplane flies with a constant speed
of 820 miles per hour. How far can it
travel in 1 hour?
820 miles
to find:how far the airplane can travel in an hour.
solution:x= v × t
x= 820 × 1
x= 820 miles
so, the airplane can travel 820 miles per hour.
In the figure, AC = BC. Find the value of b.
Since AC = BC, we can say that this triangle is isoceles (at C)
In an isoceles triangle, the two angles that does not belong to the top angle (which in this case is C) is equal to each other.
Now, we can find the sum of the 2 missing angles : 180 - 52 = 128.
And since they are equal, we can find b : 128 : 2 = 64/
Answer:
nearly like 63 or 66
Step-by-step explanation:
use the protractor.
(07.04 LC)
If 9x = 63, then x =
(Only input whole number) (1 point)
Answer: x = 7
Step-by-step explanation:
Question: If 9x = 63, then x = ?
9x = 63
x = 63/9
x = 7 answer
The value of x is 7.
hope that helps...
if the simple interest on $800 for 3 years is $60, what is the rate of interest per annum
Answer:
2.5%
Step-by-step explanation:
Simple interest formula
I = Prt
where:
I = total interestP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = $60P = $800t = 3 yearsSubstituting given values into the formula and solving for r:
⇒ 60 = 800 · r · 3
⇒ 60 = 2400r
⇒ r = 0.025
Converting r to percentage:
0.025 × 100% = 2.5%
Answer:
2.5%
Step-by-step explanation:
Given:
Principle: $800Time: 3 yearsSimple interest: $60Formula:
Simple interest = (Principle × Rate × Time)/100
Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.
[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]
Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.
[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]
[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]
Simplify both sides of the equation:
[tex]\implies60 ={ 24\times \text{Rate}}[/tex]
Divide both sides by 24.
[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]
Simplify both sides as needed:
[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]
[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]
[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]
Thus, the rate of interest per annum is 2.5%.
Determine Number of Solutions in System
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
As both left side is same
Slopes are equalThere is no solutions .
Answer:
no solutions
Step-by-step explanation:
Given equations:
Equation 1: [tex]-x+y=8[/tex]Equation 2: [tex]2x-2y=-14[/tex]Rewrite the given equations to make y the subject:
Equation 1
[tex]-x+y=8[/tex]
[tex]\implies y=x+8[/tex]
Equation 2
[tex]2x-2y=-14[/tex]
[tex]\implies 2y=2x+14[/tex]
[tex]\implies y=x+7[/tex]
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
As both equations have the same slope, the lines are parallel and therefore there is no solution to the system of equations as the lines do not intersect.
Pahelp Po pls.. hina ko kase sa math hihi:,-):-)
Step-by-step explanation:
1) C
2) B
5) C
6)D
7) D
8) B
9) Figure not clear
10) C
11) D
12) B
13) D
14) A
15) D
P.S try to do ur own tests
Look at the figure.what is another way of naming line M
Answer:
Another way of saying line M is to say Line X or Y
Please answer #3, I’ll give brainliest to the best answer
Answer:
23/42 or 0.547619048
Steps are given below in the picture
I hope my answer helps you.
What steps do I need to take to solve the last part of this equation and how do I solve them using the quadratic formula?
Answer:
simplify the radical
Step-by-step explanation:
You have shown the solution using the quadratic formula.
The final step is to simplify the radical expression. That is done by factoring out perfect squares and simplifying the fraction.
[tex]x=\dfrac{\pm\sqrt{120}}{12}=\dfrac{\pm\sqrt{2^2\cdot30}}{12}=\dfrac{\pm2\sqrt{30}}{12}\\\\x=\dfrac{\pm\sqrt{30}}{6}=\left\{\dfrac{1}{6}\sqrt{30}\,,\ -\dfrac{1}{6}\sqrt{30}\right\}[/tex]
_____
Additional comment
0 is the additive identity element, so adding or subtracting zero changes nothing.
[tex]0\pm\sqrt{120}=\pm\sqrt{120}[/tex]
Which words describe an angle measuring 92º?
Answer:
obtuse
Step-by-step explanation:
It is obtuse because it is greater than 90 degrees!
What is the least common multiple of 23, 39, and 8? Sum
does anyone know this
Answer:
7176
Step-by-step explanation:
23 is a prime factor.
3 & 13 are the prime factors of 39.
2, 2, & 2 are the prime factors of 8.
Determine the max. number of times each prime factor occurs.
Calculate: 2^3 x 3 x 13 x 23 = 7176
Answer:
7,176
Step-by-step explanation:
The LCM of these numbers is found when you multiply the three numbers together: 23*39*8 = 7,176
Hope this helps!
what is the probability of tossing a coin three times and getting tails each time?
Answer:
1/8
Step-by-step explanation:
This is a compund probability problem. You need to find the probability of each event and then multiply the probabilities together.
The probability of flipping tails is 1/2. We need three of these.
1/2 x 1/2 x 1/2 = 1/8
Help me please
The polygons are similar. Find the value of x.
Answer:
12
Step-by-step explanation:
15/10=1.5
8 times 1.5=12
Antonio purchased a bin with the following measurements the diameter is 21 inches and the height is 36 inches. Solve terms of pi.
Solve for m
[tex]n=\frac{4}{5} (m+7)[/tex]
Answer:
Step-by-step explanation:
in a particular survey of internet users, 3605 resondents say that they use socail networking sites and 1306 respondents say that they do not use social networking sites. What is the probablity that a randomly selected person uses a social networking site
Answer:
73.4%
Step-by-step explanation:
First, find the total number of people:
3605+1306=4911 people
The formula for any probability is:
Part / Whole
3605 respondents out of the total 4911 people say they use a social networking site
3605/4911 = 0.7341
Multiply this by 100 to get a percent
Thus, 73.4%
Which of the following points is a solution to the system of inequalities?
6x-2y<10
6x+3y>/=15(greater than or equal to)
A. (1,2)
B. (3,3)
C. (0,5)
D. (2,1)
Answer: C (0,5)
Step-by-step explanation:
So firstly you're going to try to solve the inequality, so what I did first is used the second equation because if I divide both sides by 3, I'm able to get the y by itself:
6x+3y>/=15, 6/3=2, 3/3=1, 15/3= 5
So now its: 2x+y>/=5
now I should get the y by itself by subtracting 2x from both sides to get
y>/=15-2x, now if we wanted to plug it in to the top equation, we could make it as, y=15-2x because the it is GREATER THAN OR EQUAL TO.
so to plug it in to the first equation we get:
6x-2(15-2x)<10,
x<4, to find y we just plug it in to any equation now we have x, so I did
6(3)-2y<10
18-2y<10
-18 -18
-2y<10
divide both sides by -2 (flips the equation sign)
y>4,
So take consider both X and Y values, C would be correct because X is less than four and 0 is less than four, and 5 is greater than four.
