Answers
Answer:
[tex]3600[/tex]
Step-by-step explanation:
One is asked to find the cost of a vacation when given the following information;
Travel: 150
Hotel: 50 per day
Spending money: 250
One is asked to calculate the cost of the vacation for (4) people over the course of (7) days. In order to solve this problem, one must make a few assumptions.
- Each cost is per person, therefore one will have to multiply the cost by the number of people.
- The travel is per every one time, thus one will have to multiply it by (2) to account for the cost to travel back home.
- Everyone stays in their own hotel room, therefore, one must multiply the hotel cost by the number of people
- The spending money is for the entire vacation and not per day.
With these assumptions, one can form the following equaton;
x = number of people = 4
y = number of days = 7
[tex]travel\ cost= (2(x(150))\\\\hotel\ cost= (y(x(50))\\\\spending\ money= (x(250))\\\\total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)[/tex]
Substitute,
[tex]total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)[/tex]
[tex]total\ cost= 2(4(150))+(7(4(50))+(4(250))[/tex]
Simplify,
[tex]total\ cost= 2(4(150))+(7(4(50))+(4(250))[/tex]
[tex]total\ cost= 2(600)+(7(4(50))+(4(250))\\=2(600)+7(200)+4(250)\\=2(600)+7(200)+1000\\=2(600)+1400+1000\\=1200+1400+1000\\=2600+1000\\=3600[/tex]
Related Questions
Oof, someone please help asap! I don't recall ever seeing this type of question before!
Answers
Answer:
90
Step-by-step explanation:
You are looking for the highest common factor for 270 and 360.
Factor the 2 numbers
270 = 2 * 5 * 3 * 3 * 3
360 = 2 * 2 * 2 * 3 * 3 * 5
Each of the numbers has a 5
Each of the numbers has two threes
Each of the numbers has one 2
So the answer is 2 * 3*3 * 5
What's the perpindicular line of y+5=4(x+12)
Answers
−
12
5
.
Perpendicular lines have opposite reciprocal slopes. To find an opposite reciprocal, multiply by
−
1
and flip the numerator and denominator.
Hence the opposite reciprocal of
−
12
5
and the slope of a line perpendicular to a line with a slope of
−
12
5
is
5
12
.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle.
8
9
Square units
Reset
Next
Answers
Answer:
36 spuare units
Step-by-step explanation:
A= 1/2 b*h
b=8
h=9
A=1/2(8*9)
A=1/2(72)
A=36
What value of n makes the statement true?
6xn· 4x2 = 24x6
Answers
Answer:
4
Step-by-step explanation: This one is easy if you have 6 groups of ones then times it by 4 and you will get 24.
Answer:
N= 4
C=5
T=22
K=1
Step-by-step explanation:
Edge 2021
find k so that x-1 is a factor of x^3 - 3x^2 + kx - 1
Answers
Answer:
[tex]{ \bf {factor : { \tt{x - 1}}}} \\ x - 1 = 0 \\ x = 1 \\ { \tt{f(x) = {x}^{3} - {3x}^{2} + kx - 1}} \\ { \tt{f(1) : {(1)}^{3} - 3 {(1)}^{2} + k(1) - 1 = 0}} \\ { \tt{k - 3 = 0}} \\ { \tt{k = 3}}[/tex]
Answer:
k = 3
Step-by-step explanation:
If x-1 is a factor of x³ - 3x² + kx - 1 then value of x is 1.
f (x ) = x³ - 3x² + Kx - 1 , then
plug 1 as x in the expression.
f ( 1) = ( 1)³ - 3 ( 1)² + k (1) - 1 = 0expand exponents
1 - 3 + k - 1 = 0combine like terms
-3 + k = 0Add 3 to both side
k = 3Come get your 11 points :)
Answers
is the answer because the angles are equal which makes the sides equal
How to find the frequency in a histogram
Answers
Answer:Para preparar la tabla de frecuencia para un histograma, es necesario primero establecer el número de intervalos que se desea tener.
Luego, se debe determinar el ancho común de los intervalos (interval width). Para esto, se calcula la diferencia del dato mayor y el dato menor, y se divide entre el número de intervalos deseados. Este resultado se redondea al entero mayor más cercano.
Por ejemplo, si se desea tener 10 intervalos y encontramos que el dato mayor es 35 y el menor es 12,
Step-by-step explanation:
Given the net of the rectangular prism, what is its surface area?
Answers
Answer:
D. 160
Step-by-step explanation:
Solve.
2a + 4 > 12
{a | a > 2}
{a | a > 4}
{a | a > 8}
{a | a > 10}
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
{a | a > 4}
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\2a + 4 > 12\\-------------\\\rightarrow 2a + 4 - 4 > 12 - 4\\\\\rightarrow 2a > 8\\\\\rightarrow \frac{2a>8}{2}\\\\\rightarrow \boxed{a > 4}\\\\-------------\\\text{This can also be written as: } \boxed{ [a | a > 4] }[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer: {a | a >4}
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!
Describe the graph of a function g by observing the graph of the base function ƒ.
g(x) = ƒ(x + 5) + 3
g(x) = ƒ(x + 3) + 5
g(x) = 2ƒ(x + 3)
g(x) = ƒ(x – 3) – 5
Answers
Answer:
g(x)=f(x+3)+5
Step-by-step explanation:
Can someone please help me by putting me where each one goes? !!
Answers
Answer:
5(x-2) = 5x -7
- no solution
-3(x-4) = 3x + 12
- infinitely many solution
4(x+1) = 3x + 4
- Only one solution
-2(x-3) = 2x -6
- Only one solution
6(x+5) = 6x + 11
- no solution
Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,1)
Answers
Answer:
y = (1/4)x² - (5/4)x + 1
Step-by-step explanation:
The x-intercepts of the quadratic equation are simply it's roots.
Thus, we have;
(x + 1) = 0 and (x - 4) = 0
Now, formula for quadratic equation is;
y = ax² + bx + c
Where c is the y intercept.
At y-intercept: (0,1), we have;
At (-1,0), thus;
0 = a(1²) + b(1) + 1
a + b = -1 - - - (1)
At (4,0), thus;
0 = a(4²) + b(4) + 1
16a + 4b = -1
Divide both sides by 4 to get;
4a + b = -1/4 - - - (2)
From eq 1, b = -1 - a
Thus;
4a + (-1 - a) = -1/4
4a - 1 - a = -1/4
3a - 1 = -1/4
3a = 1 - 1/4
3a = 3/4
a = 1/4
b = -1 - 1/4
b = -5/4
Thus;
y = (1/4)x² - (5/4)x + 1
The graph plots four equations, A, b,c,and d
Which pair of equations has (0.8) as its solution?
Equation A and Equation C
Equation B and Equation
Equation C and Equation D
Equation B and Equation D
Answers
Answer:
equation A and equation c
Answer:
Equation A and Equation C
Estimate the answers to the following calculations by carrying out order of magnitude calculations.
a) 0.26 x 890
b) [tex]\frac{1.95}{0.0067}[/tex]
c) 2010 x [tex]10^{-5}[/tex]
d) [tex]\frac{9.98 x 10^{-4} }{9 x 10^{2} }[/tex]
Answers
9514 1404 393
Answer:
a) 230
b) 300
c) 2×10^-2
d) 1.1×10^-6
Step-by-step explanation:
a) 0.26 × 890 ≈ 1/4 × 900 ≈ 225 ≈ 230
b) 1.95/(.67×10^-2) ≈ 2/(2/3)×10^2 ≈ 300
c) 2010×10^-5 ≈ 2×10^3×10^-5 = 2×10^-2
d) 9.98×10^-4/(9×10^2) = 9.98/9×10^(-4-2) ≈ 1.1×10^-6
__
YMMV depending on how you do the rounding and approximate multiplication and division.
The first one can be done multiple ways. For most accurate results, increasing one number while decreasing the other is recommended. (You don't want to compute 0.3×900, for example.)
In a college of 400 students, 45% are girls. Of the boys, 30% are football
players. How many boys are football players?
Answers
No of girls = 0.45 x 400= 180
No of Boys = 400-180=220
Of the. No of boys 30% are football players =0.30 x 220 = 66
OperumONS UNTUI a) Find the greatest number that divides 36, 45 and 63 without leaving a remainder. b) c) Find the greatest number by which 90, 120 and 150 are exactly divisible. Three drums contain 501, 60 l and 70 l of oil. Find the greatest capacity of a bucket which can empty out each drum with the exact number of fillings. Three bags contain 80 kg of wheat flour, 120 kg of corn flour and 160 kg of rice. What is the greatest number of people to whom these items can be distributed equally? What is the share of each item among them? d) e) Find the greatest number of children to whom 48 oranges, 80 bananas and 144 apples can be divided equally. Also find the shares of each fruit among them. 22 There are 120 mangoes in a basket and 168 mangoes in another basket. Find the greatest number of mangoes which are to be taken out at a time from each basket so that both of them will be emptied simultaneously. A rectangular floor is 12 m long and 10 m broad. If it is to be paved with squared marbles of the same size, find the greatest length of each squared marble.
Answers
Answer:
a) The greatest number that divides 36, 45, and 63 without leaving a remainder is 9
b) The greatest number which exactly divides 90, 120, and 150 is 30
c) The greatest capacity of the bucket is 10 liters
d) The greatest number of people to whom the items can be distributed equally is 40 people
ii) 2 kg of wheat flour, 3 kg of corn and 4 kg of rice
e) The greatest number of children to whom the 48 orange, 80 bananas, and 144 apples can be distributed equally is 16
ii) 3 oranges, 5 bananas and 9 apples each
f) 5 mangoes at a time from the basket containing 120 mangoes
7 mangoes at a time from the basket containing 168 mangoes
g) The greatest length of each squared marble is 2 m
Step-by-step explanation:
a) The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63, which is given as follows;
36 = 9 × 4
45 = 9 × 5
63 = 9 × 7
Therefore, The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63 = 9
b) 90 = 30 × 3
120 = 30 × 4
150 = 30 × 5
The greatest number which exactly divides 90, 120, and 150 is 30
c) The factors of the volumes are;
50 l = 10 × 5 l
60 l = 10 × 6 l
70 l = 10 × 7 l
Therefore, the greatest capacity of the bucket = 10 liters
d) The masses of the items are
The factors of 80 = 40 × 2
120 = 40 × 3
160 = 40 × 4
Therefore the items can be distributed equally to 40 people
ii) Each person gets 2 kg of wheat flour, 3 kg of corn and 4 kg of rice
e) 48 = 16 × 3
80 = 16 × 5
144 = 16 × 9
Therefore, the greatest number of children = 16
ii) Each child gets 3 oranges, 5 bananas and 9 apples
f) The factors of 120 = 24 × 5
168 = 24 × 7
Therefore;
The greatest number of mangoes which is to be taken out of the basket with 120 mangoes = 5 mangoes each (24 times)
The greatest number of mangoes which is to be taken out of the basket with 168 mangoes = 7 mangoes each (24 times)
g) The area of the floor = 12 m × 10 m = 120 m²
The factor of 120 m² which is a perfect square is 4 therefore, we have;
The side length of each squared marble, s = √4 = 2
The side length of each squared marble, s = 2 m
x^3+5x^2+3x+15 factor the polynomial
Answers
Answer:
(x+5) (x^2+5)
Step-by-step explanation:
x^3+5x^2+3x+15
Using factoring by grouping
x^3+5x^2 +3x+15
x^2(x+5) + 3(x+5)
Factor out (x+5)
(x+5) (x^2+5)
Answer:
( x + 5 ) (x² + 3)
Step-by-step explanation:
x³ + 5x² + 3x + 15
factor out x²
x² ( x + 5 ) + 3x + 15
factor out 3
x² ( x + 5 ) + 3 ( x + 5 )
factor out x + 5 from the expression
( x + 5 ) (x² + 3)
A man is 40 years old and his son is 5years old. In how many years will the father be 3 times the age of his son.
Answers
12 1/2 years
Step-by-step explanation:
Let the unknown be n. Then 40+n = 3(5+n).
Performing the multiplication:
40+n = 15+3n
Isolate n and combine the constant terms:
25=2n, so n= 25/2 years
Is the line that passes through the points A(0,1) and B(2,5) parallel to the line that passes through the points C(0,7) and D(4,15)?
Find the slope at AB
Answers
Answer:
Slope of AB = 2
Slope of CD = 2
equal slopes means the lines are parallel
Step-by-step explanation:
Use slope formula
m = [tex]\frac{(y_{2} -y_{1} )}{(x_{2} -x_{1} )}[/tex]
line AB = [tex]\frac{(5-1)}{(2-0)}[/tex] = [tex]\frac{4}{2}[/tex] = 2
line CD - [tex]\frac{(15-7)}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2
what's this problem please
Answers
Answer:
Option A : 135°Step-by-step explanation:
If the table and ground are to be parallel then,
45° + x = 180° [Co-interior angles]
=> x = 180 - 45
=> x = 135° (Ans) (Option A)
if you are good at graphs this is good but please help it would mean a lot, I will give brain thingy
Answers
Answer:
(5, -6)
Step-by-step explanation:
The solution is where the lines cross.
Answer:
(5,-6)
Step-by-step explanation:
The solution to the system is where the two graphs intersect.
The graphs intersect at (5,-6)
Find the length of JD
A. 23
B. 19
C. 46
D. 30
Answers
The length of JD is 19
What is length of a line?The distance between two ends of a line segment can be used to calculate its length. It is the path that connects the two points and has a known length.
Given
JD = JP-DP = 57-38 =19
To learn more about line refer to:
https://brainly.com/question/22263461
#SPJ2
(Will put as Brainliest) Please help! :")
A speciality candy shop makes chocolate covered cherry and graham cookie bites. The cherry is spherical with a diameter of 3cm and the graham cookie is a rectangular prism with a base measuring 5cm by 5cm and a thickness of 0.5cm. What is the total surface area of the bite if each piece is drenched in chocolate from top to bottom before being put together, to the nearest tenth of a square centimetre.
Answers
Answer:
88.27 cm^2
Step-by-step explanation:
Cherry=4(3.14)(1.5)^2
=28.27
Cookie=2·(5·5+0.5·5+0.5·5)
=60
60+28.27=88.27
algebra 1 solve − 0.32 + 0.18 = 0.25 − 1.95
Answers
Answer:
Step-by-step explanation:
Add 0.32 and 0.18 to get 0.5.
0.5=0.25 - 1.95
subtract 1.95 from 0.25 to get —1.7.
0.5=—1.7
compare 0.5 and —1.7.
flase
What is the smallest 6 digit palindrome that is divisible by 99
I've been trying for 3 hours and I still cant figure it out PLEASE help.
Answers
Answer:
108801Step-by-step explanation:
6-digit palindrome is the number n the form of:
xyzzyxThis is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):
x + z + y = y + z + xNow, in order to be divisible by 99, the number must be divisible by 11 and 9.
According to divisibility rule by 9 the sum of all digits must be divisible by 9. You can see In our case we need to have (the minimum):
x + y + z = 9The smallest number we could get is when x is minimum, y is minimum, so:
x = 1, y = 0, then y = 8The number we get is:
108801Proof:
108801/99 = 1099Hello,
Let's assume n the palindrome
[tex]n=\overline{abccba}\\\\Since\ 99=9*11:\\\\the \ smallest\ \Longrightarrow \ a=1\\\\a+b+c+c+b+a=9*k\ ,\ k\in \mathbb{N}\\2*(a+b+c)=9*k\ \Longrightarrow \ k\in 2\mathbb{N} , \ : k=2\\\\1+b+c=9 \Longrightarrow \ b=0\ and\ c=8\\\\n=108801\\\\Proof:\\108801=9*12089 =11*9891\\Nota\ bene:(a+c+b)-(b+c+a)=11*p \Longrightarrow \ 0=11*p \Longrightarrow \ p=0[/tex]
common factors of 8xy⁴,6x²y,10x²y²
Answers
Answer:
[tex]2^{3}[/tex]×5×3×[tex]x^{2}[/tex]×[tex]y^{4}[/tex]
Step-by-step explanation:
[tex]8xy^{4}[/tex]= [tex]2^{3}[/tex]×[tex]x[/tex]×[tex]y^{4}[/tex]
6[tex]x^{2} y[/tex]= 2×3×[tex]x^{2}[/tex]×[tex]y^{}[/tex]
10[tex]x^{2} y^{2}[/tex] = 2×5×[tex]x^{2}[/tex]×[tex]y^{2}[/tex]
[tex]2^{3}[/tex]×5×3×[tex]x^{2}[/tex]×[tex]y^{4}[/tex]
what is the value of x? no links.
Answers
Answer:
X= 115 is the answer
because it is corresponding angel they are equal
Answer:
X = 115 since the x and the other angle looks like they correspond to each other
Step-by-step explanation:
What is the area of this figure
Help please!!!!
Answers
Answer:
the area is 279 mm squared
Step-by-step explanation:
Explanation
2.1 One Step Equations
1) 4p = 68
2)x - 1 = -9
3) -25 = K - 17
4) 20n = 300 5) -17 + x = -196) 10b = -10
7)r - 11 = -27 8) -11n = -55
9) -120 = -8x
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
I
Answers
2. X=-8
3. K= -8
4. N=15
5. X=-2
6. B=-1
7. R=-16
8. N=5
9. X=15
-2, 1, 7, n, 43, ...
What is n?
Answers
Answer:
n=19
Step-by-step explanation:
-2+3=1
1+6=7
7+12=19
19+24=43
you are constantly doubling second number, starting with 3
Answer:
Step-by-step explanation: