Step-by-step explanation:
It is given that,
A 2-liter bottle of juice costs $2.80.
It means that 1 liter bottle of juice costs $1.4.
A box containing six 12-liter bottles sells for $3.90.
(6×12)l i.e. 72 liter bottles sells for $3.9
1 liter bottles sells for $0.05416
It is clear that "A box containing six 12-liter bottles sells for $3.90." have higher cost per liter. Its cost is $0.05416 per liter. Hence, the correct option is (D).
Answer:
D
Step-by-step explanation:
The salaries of 830 lawyers were recorded and analyzed. The analyst later found that the lowest salary was incorrectly recorded as $0. After the error was corrected, the report showed that the corrected value was still lower than any other salary. Which sample statistic must have remained the same after the correction was made?
Answer:
The median (half-above and half-below) could not have changed, because "corrected value was still lower than any other salary" does not change the position of that observation (still least) in the sorted list of salaries.
HOPE THIS HELPED < 33
Step-by-step explanation:
what should be multiplied to 288 to become it a perfect square
Greetings from Brasil...
Follow the reasoning.
288 ÷ 2 = 144
and 144 its a perfect square (144 = 12²)
It is visible that if we multiply 288 by 1/2, we will obtain a perfect square, but we will do this via a simple equation
288 · X = 144
X = 144 ÷ 288
X = 0,5 ⇔ X = 1/2
Add or Subtract to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
Answer:
3x³ + 5Step-by-step explanation:
( 4x - 2x³ ) + ( 5x³ - 4x + 5)
Remove the parenthesis
That's
4x - 2x³ + 5x³ - 4x + 5
Group like terms
We have
5x³ - 2x³ + 4x - 4x + 5
We have the final answer as
3x³ + 5Hope this helps you
OABCD is a pyramid with a rectangular base of sides 15cm by 9cm.Given that the slant height OQ is 16cm find its
i)height
ii)volume
Hello! Your answer is below... Remember : h = height and v = volume
Answer:
H = 15.35 cm
V = 690.75 m^
Step-by-step explanation:
(H= height, V = volume, ^= square, √ = square root )
1. divide 9/2
=4.5 cm
2. use the pythagorean theorem
H=√16^-4.5^
H=15.35
if your looking for volume
1. use the formula for volume of the pyramid which is:
1/3 x base area x height
or
base area x height /3
2. then you substitute
1/3 x (9)(15) x 15.35
or
(9)(15) x 15.35 /3
V= 690.75 m^
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
:)
Answer:
height = h = 13.4 cm
volume = V = 602.8 cm³
Step-by-step explanation:
area of a square base = 15 cm x 9 cm = 135 cm²
slant height of pyramid = 16m
solving height: (see attached image)
first step is to take the diagonal base:
side of base 15 = 15 / 2 = 7.5cm
side of base 9 = 9 / 2 = 4.5m
diagonal base = sqrt ( 7.5² + 4.5²) = 8.75 cm
therefore
height² = slant height² - diagonal base²
h² = 16² - 8.75²
h = 13.4 cm
solving the volume:
V = 1/3 * area of square base * h
V = 1/3 * 135 * 13.4
V = 602.8 cm³
The cost of a cell phone is $700. According to the cellular device contract, you will need to be $0.22 per minute for first 500. Write the function that models the total cost of the cell phone bill for the first 500 min. What is the domain of the function?
Answer:
[tex]C = 700+0.22m[/tex]
Domain is [0,500] or [tex]0 \leq m\leq 500[/tex]
Step-by-step explanation:
We are given that:
Cost of cell phone is $700.
Cost per minute for the first 500 calls is $0.22 per minute.
To find:
Function to model total cost of the cell phone bill for the first 500 minutes.
And domain of the function = ?
Solution:
Here, Total Cost is the sum of cost of cell phone, plus the cost of calls.
Total Cost = Cost of cell Phone + Cost of calls
We have the cost of cell phone as $700.
and cost of calls is $0.22 per minute up to 500 minutes.
Let the number of minutes for the calls is m. (m [tex]\leq[/tex] 500)
So, cost for m number of minutes of calls = m [tex]\times[/tex] cost per minute
cost for m number of minutes of calls = [tex]0.22 \times m[/tex]
Let the Total Cost be represented as C.
So, we can write the cost function as:
[tex]C = 700+0.22m \ \{0\leq m\leq500\}[/tex]
Domain of a function is the valid input value to the function for which the output is defined.
Here, the domain is [0, 500] i.e. 0 and 500 are inclusive.
So, the answer is:
[tex]C = 700+0.22m[/tex]
Domain is [0,500] or [tex]0 \leq m\leq 500[/tex]
how would you show 2,500 using exactly seven blocks?
Answer:
see below
Step-by-step explanation:
You would use ...
2 thousands cubes5 hundreds sheetsA biologist is tracking the path of a bird. The bird flies from point A to point B on the map. What vector can be used to express the bird's change in position? Write the vector in the form [cd] , where c and d are real numbers.
Answer:
c = -5
d = -10
Step-by-step explanation:
A biologist is tracking a bird when it was at A.
Coordinates of point A are (2, 4).
This bird moves from point A to point B.
Coordinates of the point B are (-3, -6).
Vector form of vector represented by [tex]\overrightarrow{AB}=<x_2-x_1, y_2-y_1>[/tex]
By substituting the coordinates of points A and B,
[tex]\overrightarrow{AB}=<(-3-2),(-6-4)>[/tex]
= < -5, -10 >
[tex]\overrightarrow{AB}=\binom{-5}{-10}[/tex]
By comparing it with the vector form of [cd]
c = -5
d = -10
Select the equivalent expression. (8^-5/2^-2)^-4 = ?
Choose 1 answer:
A. 1/8*2^2
B. 2^6/8^9
C. 8^20/2^8
Please
Answer:
C. 8^20/2^8
Step-by-step explanation:
(8^5/2²)^4
8^20/2^8
What is this and whats the steps?
-4(-5h-4)=2(10h+8) *
Answer:
this is an algebraic equation because it has an unknown which is the alphabet
Step-by-step explanation:
-4(-5h-4)=2(10h+8)
-4 will multiply the ones in the bracket beside it
-4*-5h=20h
-4*-4=16
20h+16=
2 will multiply the ones in the bracket beside it
2*10h=20h
2*8=16
20h+16=
so we have 20h+16=20h+16
we take like terms
20h-20h=16-16
h=0
Simplify 12 to the power of 3 over 12 to the power of 7
Please????
Need help ASAP!!!!!!
Greetings from Brasil...
Here's our problem:
[tex]\large{\frac{12^{3}}{12^{7}}}[/tex]
From potentiation properties:
Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ
division of power of the same base: I repeat the base and subtract the exponents
So, in our problem
[tex]\large{\frac{12^{3}}{12^{7}}}[/tex] = 12³ ÷ 12⁷
12³ ÷ 12⁴ = 12³⁻⁷
12⁻⁴
We also know about another property: P⁻ⁿ = (1/Pⁿ) so
12⁻⁴ = (1/12⁴)
Marissa has a Master's degree and earns an annual salary of $80,400. She works 40 hours per week for 48 weeks per year. Her sister has a Bachelor's degree and earns an average salary of $58,000. She works 40 hours a week for 52 weeks. How much greater is Marissa's hourly wage than her sister's hourly wage? Round your answer to the nearest whole dollar.
Answer:
$14
Step-by-step explanation:
Marissa has a Master's degree and earns annual salary of $80,400.
She works 40 hours per week for 48 weeks per year.
Her sister has a Bachelor's degree and earns an average of $58,000 per year.
She works 40 hours per week for 52 weeks per years.
Marissa works for a total of 40 × 48 = 1920 hours a year.
Her hourly wage = [tex]\frac{80,400}{1920}[/tex] = $42 (rounded up to nearest dollar).
Her sister works for a total of 40 × 52 = 2080 hours
Her hourly wage = [tex]\frac{58,000}{2080}[/tex] = $28 (rounded up to nearest dollar)
So Marissa's hourly wage is $42 - $28 = $14 more than her sister's hourly wage.
Andre's school has 20 clubs, which is five times as many as his cousin's school.
His cousin's school has x clubs.
Answer:
4
Step-by-step explanation:
you would do 20÷5=x
to check it it would be 5x=20
5×4=20
Answer: X=4
Step-by-step explanation:
If your school has 20 clubs, 20 divided by 5 is 4
Find the indicated side of the triangle
Answer:
[tex]a = 17 \sqrt{2} [/tex]Step-by-step explanation:
To find a we use sine
sin ∅ = opposite / hypotenuse
From the question
a is the hypotenuse
17 is the opposite
Substitute the values into the above formula
That's
[tex] \sin(45) = \frac{17}{a} [/tex][tex]a \sin(45) = 17[/tex][tex]a = \frac{17}{ \sin(45) } [/tex][tex] \sin(45) = \frac{ \sqrt{2} }{2} [/tex][tex]a = \frac{17}{ \frac{ \sqrt{2} }{2} } [/tex]We have the final answer as
[tex]a = 17 \sqrt{2} [/tex]Hope this helps you
Simplify the following:
3c² + 30²
Answer: 3c^2+900
Step-by-step explanation: 30^2 is the only thing that can be simplified
Michael has saved $22.40. Kevin saved 3/4 of the amount that Michael saved. Jack saved 5 times as much as Kevin. What is the total saved amount of all three?
Answer:
123.2 is the answer
The next term of the AP root 8, root 18,root 32 is...........
Answer:
root 50
Step-by-step explanation:
Root 8 = 2root 2root 18 = 3root 2root32 =4root 2common difference = 4root 2 - 3root 2=root2 next term = 5root2 = root50.
In the figure below, O is the center of the circle. Name a radius of the circle. A. HK←→ B. FG←→ C. AB¯¯¯¯¯¯¯¯ D. AO¯¯¯¯¯¯¯¯
Answer:
D. AO
Step-by-step explanation:
The radius can be made with a line from a point in the circumference (end) to the middle.
Point A is on the circumference. Point O is in the middle. So, line segment AO is the radius.
The radius of a circle is a line drawn from the center of the circle to any point on the circumference of the circle.
The radius of the circle are AO, CO and BO.
From the attached diagram of the circle, we have:
[tex]O \to[/tex] center
There are three lines from center O to the circumference of the circle. The three points are: A, C and B.
This means that the radius of the circle are AO, CO and BO.
Read more about radius at:
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PLEASE HELP, Write the quotient as a mixed number.
23 divided by 6 = 3 R5
Answer:
3 and 5/6
Step-by-step explanation:
First you place the highest number divible by 6.
There is 18 that is divisble by 6.
3 and 5/6
(3(6) + 5)/6
23/6
The quotient as a mixed number 23 divided by 6 is [tex]3\frac{5}{6}[/tex]
The given fraction is 23/6
Twenty three divided by six
Twenty three is the numerator and six is the denominator
23/6 being an improper fraction, it can be further written as a mixed number consisting of a whole and a fractional part.
The quotient of 23 divided by 6 is 3 with a remainder of 5.
Therefore, it can be written as a mixed number as follows:
23 ÷ 6 = 3 remainder 5
23/6 = 3 and 5/6
Hence, the quotient as a mixed number 23 divided by 6 is [tex]3\frac{5}{6}[/tex]
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Insert two rational numbers between each of the following,
a. 5 and 11
c. 2 and 8
b. 26 and 34
d. 14 and 24
Answer:
a. 6 and 8.
c. 4 and 7
b. 29 and 30.
d. 17 and 23.
Step-by-step explanation:
E Question Help
1.3.AP-9
Two hikers are 22 miles apart and walking toward each other. They meet in 4 hours. Find the rate of each hiker if one hiker walks 1.1 mph faster than the other
The speed of the slow hiker is mph, and the speed of the fast hiker is mph.
Step-by-step explanation:
Since, the hiker are walking at different speeds they meet at a point not in the middle.
Let distance travelled by Hiker A (slower) be x at speed s.
So, distance travelled by Hiker B (faster) is (22 - x) at a speed (s + 1.1) .
[tex]speed \: = \frac{distance}{time} [/tex]
s = x / 4s + 1.1 = 22 - x / 4Solving equations 1 and 2, we get :
x = 8.8m and s = 2.2mph
Therefore,
Speed of Hiker A = 2.2 mph
Speed of Hiker A = 2.2 mphSpeed of Hiker B = 3.3 mph
is the sqrt of 1 - sin^2 theta = cos theta true? If so, in which quadrants does angle theta terminate?
A. false
B. true; quadrants 1 and 4
C. true; quadrants 2 and 3
D. true; quadrants 1 and 3
Answer:
Answer: The answer is option B.
Step-by-step explanation:
Here,
We have,
[tex] { \sin }^{2} theta \: + {cos}^{2}theta = 1[/tex]
[tex] {cos}^{2} \: theta = 1 - {sin}^{2} \: theta[/tex]
[tex]cos \: theta = \sqrt{1 - { \sin }^{2}theta } [/tex]
So, it's true; and it lies in quadrant 1 and 4.
The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50 fee and $14 She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60. Each pizza is cut into 8. She wonders how many total slices she can afford.
Answer:
The answer is 24
Step-by-step explanation:
If the restaurant fee is $7.5 and the price is $14 per pizza, she has $52.5 to spend on the pizzas after we deduct the restaurant fee.
That means she can get 52.5 / 14 = 3.75 pizzas.
Since she can't get .75 pizza, we can assume that she will order 3, which in total makes 8 x 3 = 24 slices.If she can however order 3.75 pizzas, .75 x 8 makes 6 slices so it is a total of 30 slices for 3.75 pizzas.I hope this answer helps.
The total slices she can afford is 30 and this can be determined by using the unitary method and forming the linear equation.
Given :
Jacque needs to buy some pizzas for a party at her office.She's ordering from a restaurant that charges a $7.50 fee and $14 for delivery.She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60.The following steps can be used to determine the total slices she can afford:
Step 1 - Total cost to order one pizza is given by:
= 7.5 + 14
= $21.5
Step 2 - Let the total number of pizzas she can order be 'x'. So, the delivery fee plus the cost of the pizzas under $60 is represented by the equation:
14x + 7.5 = 60
14x = 52.5
x = 3.75
Step 3 - Now, according to the given data if one pizza contains 8 slices then 3.75 pizza contains:
[tex]= 3.75\times 8[/tex]
= 30 slices
The total slices she can afford is 30.
For more information, refer to the link given below:
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help.....ASAP!!!.....
Answer:
B
Step-by-step explanation:
[tex] \sqrt{19} + \frac{7}{2} \: is \: irrational \: \\ \because \: \sqrt{19} \: is \: irrational \: and \: \frac{7}{2} is \: rational \\ adding \: any \: rational \: number \: in \: irrational \: number \\ results \: in \: irrational \: number.[/tex]
6=1-2n+5 can you please solve it
Answer:
n = 0
Step-by-step explanation:
6 = 1 - 2n + 5
6 = 6 -2n
0 = -2n
n = 0
The value of n after solving the given equation 6 = 1 - 2n + 5 is the number, n = 0.
Given an equation:
6 = 1 - 2n + 5
It is required to find the value of n.
In order to find the value of n, the variable n has to be isolated to one side of the equation with the constant on the other.
Here, the variable is n.
The equation can be written as:
6 = -2n + 6
Subtract 6 from both sides.
0 = -2n
Now, divide both sides by -2.
0 = n
Hence, the value of n is 0.
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Lowell purchased a motorcycle for $17,011. It depreciates about 3.9% each year. What is the value of the motorcycle after eight years?
Answer:
100% - 3.9% leaves 96.1% of its value = 0.961*worth of the previous year.
value at years = 17011*(0.961)^8
= $12374.19 after 8 years
The light from a lamp casts a shadow of a man standing 15 feet away from the lamppost. The shadow is 5 feet long. The angle of elevation from the tip of the shadow to the lamp is 50 degrees. To the nearest foot, how tall is the lamppost?
Answer:
Height of lamppost = 23.835 ft (Approx)
Step-by-step explanation:
Given:
Man's distance from lamppost = 15 ft
Shadow length = 5 ft
Angle of elevation = 50°
Find:
Height of lamppost
Computation:
Using trigonometry application.
Total base length = 15 ft + 5 ft
Total base length = 20 ft
Tan 50° = Height of lamppost / Total base length
1.19175359 = Height of lamppost / 20
Height of lamppost = 23.835 ft (Approx)
Answer:
To the nearest foot it is about 24 feet
What is 18/100 written as a decimal?
Answer:
18/100 as a decimal is:
0.18
Hope this helps! (づ ̄3 ̄)づ╭❤~
Step-by-step explanation:
Answer:
0.18
Step-by-step explanation:
18 divided by 100 is 0.18 18 divided by 1000 is 0.018
you move the decimal to the left when you divided a number by ten how many zeros is how many times you move the decimal. every number is a decimal like if you have a number 20 it actually looks like 20. so when you divide it by a 10 or 100 to move the decimal to the left the same number of zeros in 100 so that would be 0.20 hope you understand
Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140
apples, went to market and sold all their apples at the same price, and each
received the same sum of money. What was the price?
Answer:
The amount each took home was 20 unit currency.
Step-by-step explanation:
We are given that Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140 apples, went to market and sold all their apples at the same price, and each received the same sum of money.
Formula : [tex]a \times n + (n - 1)[/tex], [tex](a + b)\cdot n + (n - 2)[/tex], [tex](a + 2 \cdot b) \cdot n + (n - 3)[/tex], [tex](a + 3 \cdot b) \cdot n + (n - 4)[/tex], [tex](a + 4 \cdot b) \cdot n + (n - 5)[/tex], [tex](a + 5 \cdot b) \cdot n + (n - 6)[/tex], [tex](a + 6 \cdot b) \cdot n + (n - 7)[/tex]
[tex]a \cdot n + (n - 1) = 20[/tex]
[tex](a + b) \cdot n + (n - 2)=40[/tex]
[tex](a + 2 \cdot b) \cdot n + (n - 3) = 60[/tex]
[tex](a + 3 \cdot b) \cdot n + (n - 4) = 80[/tex]
[tex](a + 4 \cdot b) \cdot n + (n - 5) = 100[/tex]
[tex](a + 5 \cdot b) \cdot n + (n - 6) = 120[/tex]
[tex](a + 6 \cdot b) \cdot n + (n - 7) = 140[/tex]
On solving :
n = 7, a = 2, b = 3
So,
[tex]2 \times 7 + 6 = 20[/tex]
[tex]5 \times 7 + 5=40[/tex]
[tex]8 \times 7 + 4 = 60[/tex]
[tex]11 \times 7 + 3 = 80[/tex]
[tex]14 \times 7 + 2 = 100[/tex]
[tex]17 \times 7 + 1 = 120[/tex]
Based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount :
2×1 + 6×3 = 20
5×1 + 5×3=20
8×1 + 4×3 = 20
11×1 + 3×3 = 20
14×1 + 2×3 = 20
17×1 + 1×3 = 20
20×1 = 20
Therefore, the amount each took home was 20 unit currency.
What is the coefficient, constant, or variable for a+3b
Answer:
variables: 'a' and 'b'coefficient: 3Step-by-step explanation:
The variables are 'a' and 'b'. The number 3 is a coefficient.
__
The coefficient of 'a' is 1. A coefficient of 1 is rarely shown.
I can some one help me please
Answer:
b
Step-by-step explanation:
Answer:
i have nom idea
Step-by-step explanation:
i have no idea