Answer:
a. 810
b. 27
c. 30
Step-by-step explanation:
Part a.
The volume is 9 * 9 * 10.
9 * 9 = 81, and 81 * 10 = 810.
Part b.
The volume of a cube is x^3, where x is the side length of the cube.
If x = 3, then 3^3 = 27.
Part c.
If each notebook has a volume of 27, then the maximum amount of notebooks that will fit in a box with volume 810 is 810/27 = 30 notebooks
a. The volume of the rectangular box is 810 inch³.
b. The volume of the notepad is 243 inch³.
c. The maximum number of notepads that will fit inside the box is 3.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, A paper company ships notepads in rectangular boxes that have dimensions measuring 9 inches long, 9 inches wide, and 10 inches tall.
Therefore, The volume of the box is, = (9×9×10) inch³.
= 810 inch³.
The dimensions of the notepad are 9 inches by 9 inches with an height of 3 inches.
Therefore, The volume of the notepad is = (9×9×3) = 243³ inches.
The maximum number of notepads that will fit inside thebox is,
= (810/243).
= 3.33 but it sholud only be 3 notepads.
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The teen club had a cupcake sale.
They sold 2/3 of their cupcakes in the morning. They sold 1/6 of their cupcakes in the afternoon. They sold 200 cupcakes altogether.
How many cupcakes were left to sell?
40. Let C be the total number of cupcakes. Then 2/3 x C + 1/6 x C = 200.
Combining , 5/6 x C = 200. So C = 240.
240–200= 40
Segments CD, GH, and JK intersect point A.
Answer: HK
Step-by-step explanation:
Pls help me find the value of x
Answer:
x = 3
Step-by-step explanation:
2x+6=x+9 subtract x in both sides
x +6 =9 subtract 6 in both sides
x = 3
What is the area of the composite figure
Find the discriminant to determine the number of roots, then solve the quadratic equation using the quadratic formula.
2x^2+7x-4=0
[tex]2x^2 + 7x -4=0 \\<=> 2x^2+8x-x-4=0 \\<=>2x(x+4)-(x+4)=0\\<=>(x+4)(2x-1)=0\\<=> x+4=0 /or/ 2x-1=0\\<=>x=-4/or/x=\frac{1}{2}=0.5[/tex]
ok done. Thank to me :>
HELP 40 POINTS!!!!!!!!!
ements
Question 8
1 pts
(08.02 MC)
Rewrite x2 - 2x - 3-0 in the form (x -a)? - b, where a and b are integers, to determine the a and b
values.
Oa-4 and b3
O a-3 and b 2
Oa-2 and b 1
Oa - 1 and b 4
Question 9
1 pts
Step-by-step explanation:
Given,
x² - 2x - 3 = 0
x² - (3x - x) - 3 = 0
x² - 3x + x - 3 = 0
x(x - 3) + 1(x - 3) = 0
(x - 3)(x + 1) = 0
x = 3 & -1
Now,
a and b are integers
So
a = 3 & b = -1 or
a = -1 & b = 3
Answer:
a = 3 , b = -1 or a = -1 , b = 3
Step-by-step explanation:
x² - 2x - 3 = 0
x² - 3x + 1x - 3 = 0
x ( x - 3 ) +1 ( x - 3 ) = 0
( x - 3 ) ( x + 1 ) = 0
So,
x - 3 = 0 or x + 1 = 0
x = 0 + 3 x = 0 - 1
x = 3 x = -1
Therefore,
( x - a) ( x - b )
As a and b are integers
It can be,
a = 3 , b = -1 or a = -1 , b = 3
Hope this helps you.
Let me know if you have any other questions :-)
Help me solve this please
Answer:
2/5-1/10 = 3/10
1/5+7/10 = 9/10
Step-by-step explanation:
4/10-1/10 = 3/10
2/10+7/10 = 9/10
Your current salary is $30,900 per year. You’ve just accepted a new position at a company that’s to pay you $32,500 per year. How much more will you get per month at the new job? (Round your answer to the nearest dollar.)
Answer: $133
Explanation:
\cfrac{32\ 500 - 30\ 900}{12} = \$133
12
32 500−30 900
=$133
Which relation is a function mastery test
Answer:
The relation which is a function is the one in which none of the first coordinates repeated.
Step-by-step explanation:
Please help thank you
Answer:
2 × n - 1 = x
Step-by-step explanation:
for example:
[tex]2(4) - 1 = 7[/tex]
[tex]2(5) - 1 = x \\ 10 - 1 = x \\ x = 9[/tex]
The high temperature was recorded as 25.6°F. The low temperature that same day was recorded as −2.7°F. What was the difference between the high and low temperatures for that day? Enter your answer as a decimal in the box.
28.3
Step-by-step explanation:
the difference is the answer to a subtraction problem so we can plug in our numbers like this
25.6-(-2.7) which equals 28.3
a good thing to remember when subtracting negative numbers is that a positive and negative won't always make a negative like in this example
Answer:
He's right it's 28.3
Step-by-step explanation:
Two mechanics worked on a car. The first mechanic charged $75 per hour, and the second mechanic charged $45 per hour. The mechanics worked for a
combined total of 25 hours, and together they charged a total of $1425. How long did each mechanic work?
Answer:
First mechanic 10 hours, Second is 15 hours
Step-by-step explanation:
x + y = 25, so y = 25 - x
75x + 45y = 1425
Substitute in the first equation
75x + 45(25 - x) = 1425
75x + 1125 - 45x = 1425
30x = 300
x = 10
Therefore, y = 15
Answer:
they both worked
8 hours
Which pair of fractions in not equivalent fractions? Please answer it’s a test
Answer:
7/8 , 5/6
Explanation:
7/8 , 5/6 are the only fractions that are not equivalent fractions as when they are simplified they don't share the same fraction. Hope this helps.
Write all the terms of the following X+y+z
Answer:
xyzStep-by-step explanation:
The terms are the addends in the sum:
x, y, z
What’s is 43-14 as a percent
Solve. 9(8 - x) = 3x brainly EEE PLSS
Answer:
x=6
Step-by-step explanation:
9(8-x)=3x
9 x 8=72
72-9x=3x
72=12x
72/12=6
x=6
Please helpppp quick
Answer:
x<-4
Step-by-step explanation:
The arrow shows an open circle around -4 meaning it's not equal to -4. And we see the arrow going left, meaning x<-4.
Hope this helps :^)
Answer:
x<-4
Step-by-step explanation:
There is an open circle where -4 is, so the maximum would be -5. There would be no minimum, so you can say that x is less than -4.
4x>=112
A.25
B.27
C.28
D.33
E.1
F.21
Answer:
C
Step-by-step explanation:
112 divided by 4 equals 28
It takes 4/5 of an hour to fill 1/2 tank.how many tanks can she fill in an hour
Answer:
5/8 of a tank
Step-by-step explanation:
Divide 1/2 by 4 to get how much of a tank you would be able to fill in 1/5 of an hour. 1/2 ⁒ 4 is 1/8 so she can fill 1/2+1/8 of a tank or 5/8 of a tank.
Help help help math math
can someone help me pls?
three friends each have some ribbon. Carol has 42 inches of ribbon, Tino has 2.5 feet of ribbon, and baxter has 1.5 yards of ribbon. express the total length of ribbon the three friends have in inches, feet, and yard.
____ inches = ____ feet = ____ yards
Answer:
126 inches = 10.5 feet = 3.5 yards
Step-by-step explanation:
42 in = 3.5 ft = 1.1667 yds
2.5 ft = 30 in = 0.8333 yds
1.5 yds = 54 in = 4.5 ft
42+30+54= 126 in
3.5+2.5+4.5= 10.5 ft
1.5+0.8333+1.1667= 3.5 yds
10.5/3= 3.5 yds
the degree of the polynomial p³q²-6p²q⁵+p⁴q⁴
Step-by-step explanation:
[tex]p^{3}q^{2}-6p^{2} q^{5} +p^{4} q^{4}[/tex]
So since the highest index/power is 5 the degree is 5
Hope that helps :)
There were 120 tickets sold for a band concert and 3/4 of those were student tickets how many adult tickets for the concert were sold
Answer:
30 because if u divided 120 by 4 its 30 and the parents get 1/4 so its 3....... 30/120
An electronic company refurbishes game systems The table shows the profit made for the number of game systems sold. How much profit will be made for 35 game systems?
Answer: Give me the table and ill answer..
Step-by-step explanation:
Please Help Me - Calc.
[tex]\text{Given that,}\\\\2(x^2+y^2)^2 = 25 (x^2-y^2)\\\\\implies 2\dfrac{d}{dx} (x^2 +y^2)^2 = 25 \dfrac{d}{dx} (x^2 -y^2)\\\\\implies 2 \cdot 2(x^2 +y^2) \dfrac{d}{dx}(x^2 +y^2) = 25\left[2x - 2y \dfrac{dy}{dx} \right]\\\\\implies (4x^2 +4y^2)\left(2x + 2y\dfrac{dy}{dx}\right) = 50x - 50y\dfrac{dy}{dx}\\\\\\\implies 8x^3+8x^2y \dfrac{dy}{dx} + 8xy^2 +8y^3\dfrac{dy}{dx} = 50x -50y \dfrac{dy}{dx}\\\\\\\implies 8x^2y \dfrac{dy}{dx} + 8y^3\dfrac{dy}{dx}+50y \dfrac{dy}{dx} = 50x -8x^3 -8xy^2\\\\[/tex]
[tex]\implies (8x^2y +8y^3 + 50y)\dfrac{dy}{dx} =50x -8x^3 -8xy^2\\\\\implies \dfrac{dy}{dx} = \dfrac{50x -8x^3 -8xy^2}{8x^2y+8y^3+50y}\\\\\implies \dfrac{dy}{dx}= \dfrac{25x-4x^3-4xy^2}{4x^2y+4y^3+25y}\\\\\\\implies \dfrac{dy}{dx} = \dfrac{x(25-4x^2-4y^2)}{y(4x^2 +4y^2 +25)}\\\\\\\text{Slope at}~~ (-3,-1)\\\\m=\dfrac{dy}{dx} = \dfrac{-3[25-4(-3)^2-4(-1)^2]}{(-1)[4(-3)^2 + 4(-1)^2+25]} = -\dfrac{45}{65} = -\dfrac 9{13}[/tex]
[tex]\text{Equation with given points,}\\\\y+1 = -\dfrac9{13}(x+3)\\\\\implies y = -\dfrac 9{13} x - \dfrac {27}{13} -1\\\\\implies y= -\dfrac 9{13} x - \dfrac{40}{13}\\\\\text{Hence the equation of this tangent line is now in a form of y= mx+b,}\\\\\text{where}~ m = -\dfrac 9{13}~ \text{and}~ b = -\dfrac{40}3[/tex]
The length of the diagonal of quadrilateral is 48m. The lengths of the Perpendiculars drawn on it from the opposite corners are 15m and 19m.Find its area.
With the last of your gold, you decide to buy a Ferrari F50 GT1. It has a maximum speed of 380 km/hour. How fast is that in MPH (miles per hour)
Answer:
237.5 miles / hour
Step-by-step explanation:
The conversion factor is 1.6 km = 1 mile.
1 mile / 1.6 km = x / 380 km / hour Multiply both sides by 380 km/hour
380 km/hr * 1 mile / 1.6km = x
237.5 miles / hour = x
Find the results of the given vector subtractions for u = <-8, 4> and v = <2, 7>.
Answer:
[tex]\huge\boxed{\overrightarrow{u}-\overrightarrow{v}=\left<-10;\ -3\right>}[/tex]
Step-by-step explanation:
[tex]\overrightarrow{u}=\left<-8;\ 4\right>;\ \overrightarrow{v}=\left<2;\ 7\right>\\\\\overrightarrow{u}-\overrightarrow{v}=\left<-8;\ 4\right>-\left<2;\ 7\right>=\left<-8-2;\ 4-7\right>=\left<-10;\ -3\right>[/tex]
Answer:
Step-by-step explanation:
-u-v = 6,-11
u-v = -10,-3
v-u = 10,3
A group of 8 people are sharing gummy bears each person wants 5 gummy bears each bag has 9 gummy bears
At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
The given parameters;
total number of people sharing the gummy bears, n = 8 peoplenumber of gummy bears in each bag, = 9 gummy bearsnumber of gummy bears needed by each person = 5 gummy bearsThe number of gummy bear bags needed to share 5 gummy bears to each person is calculated as follows;
let the number of gummy bears bag = x
[tex]\frac{9x}{8} = 5\\\\9x = 40\\\\x = \frac{40}{9} \\\\x = 4.4[/tex]
Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
Learn more about sharing and divisions here: https://brainly.com/question/112003