Peter is reading a 193-page book. he has read three pages more than one-fourth of the number of pages he hasn't yet read. how many pages has he not yet read? 147 144 152 141
there are 13 animals in the barn some are ducks and some are pigs there are 42 legs in all how many of each animal are there (ducks have 2 legs and pigs have 4)
Jon makes $78 in 12 hours of work for his mom. how much would jon make in 20 hours of work
Answer:
$130
Step-by-step explanation:
This is a direct proportionality between the amount he makes and the time worked. As the time increases, so does the amount he makes and vice versa.
Let the amount made be A and the time T
A ∝ T,
A = KT where K is the constant of proportionality
where Jon makes $78 in 12 hours of work, A = 78, T = 12
78 = 12K
K = 6.5
A = 6.5T
In 20 hours of work, T = 20
A = 6.5 × 20
A = $130
m/x = k - 6 Solve for m
∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38 . What is the value of x? Enter your answer in the box.
Answer:
5 is the answer
Step-by-step explanation:
I'm from K12
In a closing-down sale a shop reduces all its prices by 20%.
Find the sale price of a coat which previously cost $44
-0.785714286 as a fraction
Which answer is equal to i58 ?
−i
i
−1
1
As per complex number, the value of [tex]i^{58}[/tex] is (- 1).
What is a complex number?"Complex number is the number that is expressed in the form of [tex](a + ib)[/tex]where, 'a', 'b' are real numbers and 'i' is an imaginary number."
Therefore, the simplified value is
[tex]i^{58} \\= (\sqrt{-1})^{58} \\= (-1)^{29} \\= -1[/tex]
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What are the excluded values of x for x^2-9x/x^2-7x-18
The excluded values of x for x^2-9x/x^2-7x-18 are -2 and 9
The expression is given as:
x^2-9x/x^2-7x-18
Set the denominator of the expression to 0
x^2-7x-18 = 0
Expand the above expression
x^2 + 2x -9x -18 = 0
Factorize the expression
x(x + 2) -9(x +2) = 0
Factor out x + 2
(x -9)(x +2) = 0
Solve for x
x = 9 and x = -2
Hence, the excluded values of x for x^2-9x/x^2-7x-18 are -2 and 9
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a family pays $19 each month for internet access. next mont, the cost will increase by 5% because of the equipment fee. After this increase, what will be the cost for the internet
The cost for the internet after an increase is $19.95.
Given that,
The family pays $19 each month. And, the cost should be increased by 5%.Based on the above information, the cost for the internet after an increase is
= $19 + 5% of $19
= $19 + $0.95
= $19.95
Therefore we can conclude that the cost for the internet after an increase is $19.95.
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Need some geometry help
1/6d + 2/3 = 1/4(d-2)
Vehicle a averages 14 miles per gallon of gasoline, and vehicle b averages 36 miles per gallon of gasoline. at these rates, how many more gallons of gasoline does vehicle a need than vehicle b to make a 1,008-mile trip?
Final answer:
Vehicle A requires 72 gallons and vehicle B requires 28 gallons for a 1,008-mile trip. Therefore, vehicle A needs 44 more gallons of gasoline than vehicle B for the trip.
Explanation:
To calculate the number of gallons of gasoline each vehicle needs for the trip, we would divide the total distance of the trip by the miles per gallon (mpg) that each vehicle gets. Then, to find out how many more gallons of gasoline vehicle A needs than vehicle B, we subtract the gallons of gasoline used by vehicle B from the gallons used by vehicle A.
First, we find the gallons needed for vehicle A:
Vehicle A: 1,008 miles ÷ 14 mpg = 72 gallonsNext, we calculate the gallons needed for vehicle B:
Vehicle B: 1,008 miles ÷ 36 mpg = 28 gallonsFinally, we determine how many more gallons vehicle A requires than vehicle B:
Additional gallons needed by vehicle A: 72 gallons - 28 gallons = 44 gallons
An area of 16m^2 can be covered by 1.5 litres of pain. How many litres are needed to cover 20m^2?
What is the ratio 42 to 48 as a fraction in simplest form?
If 17 is increased to 23, the increase is what percent of the original number? (this is known as the percent of change.)
The perimeter of a rectangular garden is 98 feet. the length of the garden is 4 feet more than twice the width. what is the length of the garden?
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
A) 12π cubic inches
B) 36π cubic inches
C) 64π cubic inches
D) 81π cubic inches
Answer: B) [tex]36\pi \text{cubic inches}[/tex]
Step-by-step explanation:
We know that the volume of a sphere is given by :-
[tex]\text{Volume}=\dfrac{4}{3}\pi r^3[/tex], where r is radius of the sphere.
Given : The radius of the sphere = 3 inches
Then , the volume of the sphere will be :-
[tex]\text{Volume}=\dfrac{4}{3}\pi (3)^3\\\\\Rightarrow\ \text{Volume}=36\pi \text{ cubic inches}[/tex]
Hence, the volume of the sphere = [tex]36\pi \text{ cubic inches}[/tex]
what is x ⋅ x ⋅ x = ?
9 different coin combinations that equal 76 cents
A population of rabbits is growing exponentially. The function f(x) = 5(2)t models the number of rabbits after t months.
Based on the model, what is the growth factor for the population of rabbits?
Answer:
The growth factor is '2'
Step-by-step explanation:
Here, the given function that represents the population of the rabbits that is increasing exponentially,
[tex]f(x)=5(2)^t----(1)[/tex]
Since, the growth factor is a multiplier that increases the value per period,
Also, in an exponential growth function,
[tex]y=ab^x[/tex]
b is called the growth factor where x is a variable,
Since, in function (1) t is a variable ( time in months )
By comparing, b = 2,
Hence, the growth factor is 2 for the given function.
can you help me round 3,418,913 to the nearest thousand
Find the distance between the given points . find the midpoint of the segment with the given endpoints. round to the nearest tenth, if necessary
Find the prime factorization of 210.
2 X 3 X 5 X 7
2 X 3 X 35
2 X 7 X 15
Answer: 2 X 3 X 5 X 7
Step-by-step explanation:
The given number to find the prime factorization =210
We know that 210 can be written as [tex]21\times10[/tex]
Also , 21 can be written as [tex]3\times7[/tex].
And 10 can be written as [tex]2\times5[/tex]
Then , the prime factorization of 210 is given by :-
[tex]210=21\times10\\\\=3\times7\times2\times5[/tex]
Hence, the prime factorization of 210= 2 X 3 X 5 X 7
Xavier is a salesperson who is paid a fixed amount of $455 per week. He also earns a commission of 3% on the sales he makes. If Xavier wants to earn more than $575 in one week, how many dollars (x) in sales must he make?
The answer is c reason I now this is cause I had this on my test
number divided by -3 is less than 6
How many hours did Miriam stop to rest
A manufacturer wants to design an open-top box having a square base and a surface area of 120 square inches. what dimensions will provide a box with maximum volume?
The dimensions √30 inches square and 4 inches high will provide a box with maximum volume.
What are maxima and minima?The Maxima and minima of a function are the extremes within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.
It is given that:
A manufacturer wants to design an open-top box having a square base and a surface area of 120 square inches.
Let's suppose x is the base edge length and h is the box height.
x² + 4xh = 120
h = (120 - x²)/(4x)
h = 30/x - x/4
Volume = x²(30/x - x/4) = 30x - x³/4
dV/dx = 0
30 - x² = 0
x = √30
h = 120/x² = 120/30 = 4 inches
The box is √30 inches square and 4 inches high.
Thus, the dimensions √30 inches square and 4 inches high will provide a box with maximum volume.
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multiply 2/7 with its additive inverse
In △ABC, the coordinates of vertices A and B are A(1,−1) and B(3,2). For each of the given coordinates of vertex C, is △ABC a right triangle?
Select Right Triangle or Not a Right Triangle for each set of coordinates.
C(0,2) right triangle or not a right triangle?
C(3,-1) right triangle or not a right triangle?
C(0,4) right triangle or not a right triangle?
Answer:
C(0,2) - Not A Right Angle
C(3,-1) - Right Angle
C(0,4) - Right Angle
I took the unit test and after this was the correct and answer. Hope this helps :))
Final answer:
To determine if △ABC is a right triangle, we can use the distance formula to calculate the lengths of the sides of the triangle. By comparing the squares of these lengths, we can determine if △ABC is a right triangle. For the given coordinates of vertex C, △ABC is not a right triangle.
Explanation:
To determine if △ABC is a right triangle, we need to check if the square of the length of the longest side is equal to the sum of the squares of the other two sides. Using the distance formula, we can find the lengths of AB and AC for each set of coordinates for vertex C. We then compare the squares of these lengths to determine if △ABC is a right triangle.
For C(0,2), the distance between A(1,-1) and C is √((0-1)^2 + (2-(-1))^2) = √(1 + 9) = √10. The distance between B(3,2) and C is √((0-3)^2 + (2-2)^2) = √(9 + 0) = 3. The longest side is AB with length √(2^2 + 3^2) = √(4 + 9) = √13. Since √13 is not equal to √10 + 3, △ABC is not a right triangle.
Following the same calculations for C(3,-1) and C(0,4), we find that △ABC is also not a right triangle for both cases. Therefore, the answer for all three sets of coordinates is Not a Right Triangle.