Answer:
125 cm^3
Step-by-step explanation:
Find THE volume of this cube of side length 5 cm:
Volume of a cube is V = s^3, where s is the side length.
Here, V = (5 cm)^3 = 125 cm^3
An actor, Bob, wants to gain weight to look the part for his role as an overweight truck driver in an upcoming movie. He decides to add servings of banana splits (S) and bacon rolls (B) to his diet. Each serving of S is 1,000 calories and each serving of B is 500 calories. Bob has a history of health problems and his doctor has recommended that he needs to control his cholesterol and sugar levels in his food intake. Each serving of S contains 1 unit of cholesterol and 3 units of sugar. Each serving of B contains 4 units of cholesterol and 1 units of sugar. His doctor recommends that his cholesterol be no larger than 10 units and his sugar levels should be at least 2 units and no larger than 9 units. What should be the objective function (C) to select the optimal choice of Sand B in order for Bob to ingest as many calories as possible? A. C = 105 + 5B B. C = 1000S + 500B C. C = S+BD. None of the above
Answer:
[tex]C = 1000S + 500B[/tex]
Step-by-step explanation:
Given
[tex]S = Banana\ Splits[/tex]
[tex]B=Bacon\ Rolls[/tex]
Reading through the question, we have:
Number of calories per serving:
[tex]S \to 1000[/tex]
[tex]B \to 500[/tex]
Let
[tex]x = Cholesterol[/tex]
[tex]y =Sugar[/tex]
So, we have:
Each serving of S
[tex]x \to 1S[/tex]
[tex]y \to 3S[/tex]
Each serving of B
[tex]x \to 4B[/tex]
[tex]y \to 1B[/tex]
Recommendation
[tex]x \to \le 10[/tex] - i.e. not more than 10 units of cholesterol
[tex]y \to \ge 2 \& \le 9[/tex] i.e. At least 2units but not more than 9 units of sugar
So, the constraints are:
[tex]S + 4B \le 10[/tex]
[tex]3S + B \ge 2[/tex]
[tex]3S + B \le 9[/tex]
Recall that the calories per serving is:
[tex]S \to 1000[/tex]
[tex]B \to 500[/tex]
Hence, the objective function is:
[tex]C = 1000S + 500B[/tex]
20 people each bring 3 food dishes to an awards banquet. The dishes are shared equally by 180 people at the banquet. How many people share 1 food dish?
Answer:
3 people
Step-by-step explanation:
If 20 people each bring 3 food dishes to an awards banquet, the total amount of food brought will be (20 * 3) = 60foods
If the dishes are shared equally by 180 people at the banquet, then;
60foods = 180 people
1 food = x
Cross multiply
60* x = 180
60x = 180
x =180/60
x = 3
Hence 3 people will share 1 dish
A jacket used to cost $54. After a 40% discount, what is the new cost of the jacket?
Im pretty sure its $32.4
Step-by-step explanation:
The picture is attached
Answer:
Step-by-step explanation:
A)
3x+1
B)
2Cos(2x-1)
There are 58 people in a store. 10 of them are employees. 6 come out, 4 come in. 16 leave, and 7 enter
Answer:
47 people
Explanation:
58 - 6 + 4 -16 + 7 = 47
The percentage discount at a store is determined
using the table below.
Sale Discounts
Total Purchases
less than $50
$50 to $100
over $100
Discount
25%
30%
35%
Shamika bought 3 skirts that cost $25 each before the discount. What was her total after thediscount?
A. $45.00
B. $48.75
C. $52.50
D. $56.25
Answer:
The answer is C and please give me brainliet And a like!
Where the above parameters are given, Shamika's total after the discount is $56.25. (Option D)
How to compute the above resultAccording to the table, if the total purchases are less than $50, the discount is 25%.
Shamika bought 3 skirts at $25 each, so her total purchase amount is 3 * $25 = $75.
Since $75 is less than $50, she qualifies for a 25% discount.
To calculate the discount, we multiply the total purchase amount by the discount rate -
Discount = 25% of $75 = (25/100) * $75 = $18.75
To find her total after the discount, we subtract the discount from the total purchase amount -
Total after discount = Total purchase amount - Discount
Total after discount = $75 - $18.75 = $56.25
Therefore, Shamika's total after the discount is $56.25. (Option D)
Learn more about discount at:
https://brainly.com/question/12965533
#SPJ2
What is the potential energy of a 500kg elevator that is 4.0m high from the floor?
Answer:
19,600 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
We have
PE = 500 × 9.8 × 4
We have the final answer as
19,600 JHope this helps you
The sum of an integer and its _____ inverse is 0.
Which of the following is the standard form of (x-7)2 + (y +1)2 = 16?
Answer:
[tex](x - 7) {}^{2} + (y + 1) {}^{2} = 16 \\ this \: is \: an \: equation \: of \: circle \\ ( {x}^{2} - 14x + 49) + ( {y}^{2} + 2y + 1) = 16 \\ {x}^{2} + {y}^{2} - 14x + 2y + 50 = 16 \\ {x}^{2} {y}^{2} - 14x + 2y + 34 = 0[/tex]
Given the function
y
=
(
−
6
+
x
−
6
x
2
)
(
−
9
−
9
x
)
,
y=(−6+x−6x
2
)(−9−9x), find
d
y
d
x
dx
dy
in any form.
Answer:
y=6+2x
Step-by-step explanation:
Please!!!!!!!
Can someone please help me with this question.
I will mark the first person brainliest if they answer with an actual answer not a link.
Answer:
It's 5,-5 because you always put the x axis numbers first.
Step-by-step explanation:
Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was watering can be represented by a linear function and is shown in the graph below. Which statement is correct
Answer:
B. The amount of water originally in Wilson's can was 2.5 gallons.
Una parcela de forma cuadradra mide 1089km2 de superficie cuantos metros mide el lado de la parcela
Respuesta:
3.3 × 10⁴ m
Explicación paso a paso:
Paso 1: Información provista
Superficie de la parcela cuadrada (S): 1089 km²
Paso 2: Determinar la longitud del lado (l) de la parcela
Podemos determinar la superficie de un cuadrado usando la siguiente fórmula.
S = l²
l = √S = √1089 km² = 33 km
Paso 3: Convertir "l" a metros
Vamos a usar el factor de conversión 1 km = 10³ m.
33 km × 10³ m/1 km = 3.3 × 10⁴ m
Square tiles measuring 4 inch on each side will be used to tile a 1-foot by 1-foot area. How many of these tiles are needed?
Answer:9
Step-by-step explanation:
4 inches fits into 12 inches three times. Three rows multiplied by three columns equals 12.
Hope that helps!
Which set of numbers contains only rational numbers?
Answer:
A because of the Earth or D because of you
Can someone help me please
Answer:
6*6+16*20
=320+36
=356 so it's C
Answer:
C: 356 sq ft.
Step-by-step explanation:
Imagine a rectangle filling the empty space in the polygon.
Using this, we get 440 sq ft.
Now subtract the area that you filled in.
440-(14x6)=A
440-84=A
356=A
Pls help meee。I’m so confused TwT
someone help me please!!
Answer:
346
Step-by-step explanation:
(40*22)-(34*16)
=880-544
=346
Answer:336
Step-by-step explanation:
22x40=880 total sq ft
16x34=544 inner sq ft
880-544=336
HELPPPPPP!!!!
What is the range of f?
Help plz will mark brainliest
Answer: it is 2 ft
Step-by-step explanation:
because you have to do 12/3 and that equals 4 and then you have to do 4/2 and that equals 2
Please help me please I really need help please
Answer:
See attached
Step-by-step explanation:
Solution is in the attached picture
Jonny 3/4 collected of a bag of Mardi Gras beads at each parade he attended. He went to 4
different parades. Which two number sentences would tell the total amount of beads collected?
Answer:
3
Step-by-step explanation:
DID I GET THIS RIGHT PLEASE HELP ITS DUE IN 10 MINUTES ( DONT GIVE ME A LINK PLEASE)
Answer:
yes that is
Step-by-step explanation:
All Questions Are Above
Answer:
2. 5.25
3. 3
4. 81.68
Step-by-step explanation:
Hope this helps and sorry if i'm wrong
just one but if u could do both then that’s great. thank you
What is the area of a
circle that has a radius of 4
inches? (Use 3.14 for pi.)
HELP ASAP
Answer:A≈50.27in²
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS I WILL BRAINLIEST WHO EVER TELLS ME THE ANSWERS TO THIS
Why are Cells Important
Answer:
Cells are the basic building blocks of all living things. The human body is composed of trillions of cells. They provide structure for the body, take in nutrients from food, convert those nutrients into energy, and carry out specialized functions.
Step-by-step explanation:
Hopes this help.
Slope from graph Khan academy :
What is the slope of this line?
Answer:
[tex]slope=-3[/tex]
Step-by-step explanation:
[tex]m=\frac{change(y)}{change(x)}[/tex]
Use two points,
(-1,0)(0,-3)
[tex]m=\frac{0-(-3)}{-1-0}[/tex]
[tex]m=\frac{3}{-1}[/tex]
[tex]m=-3[/tex]
Answer:
-3
Step-by-step explanation:
If you have a triangle and all its angles equal 60 degrees could you say its equilateral?
Answer:
yes it is an equilateral triangle