Answer:
[tex]T=52.5 \approx 53 months[/tex]
Step-by-step explanation:
From the question we are told that:
Annual income [tex]I=65000[/tex]
Annual tax [tex]T=65000-58000[/tex]
[tex]T=7000[/tex]
Student loan [tex]X=21000[/tex]
Payment budget [tex]Y=400[/tex]
Generally the Time taken to pay off is mathematically given by
[tex]T=\frac{Payment}{rate\ of\ payment }[/tex]
[tex]T=\frac{x}{\frac{x}{t}}[/tex]
[tex]T=x*\frac{t}{x}[/tex]
Therefore time taken
[tex]T=\frac{21000}{400}[/tex]
[tex]T=52.5 \approx 53 months[/tex]
Laura finished her history assignment in 1/4 hours. Then she completed her English assignment in 3/5 hours. What was the total amount of time Laura spent doing these two assignments?
Answer:
0.85 hours
[tex]\frac{17}{20}[/tex] hours
Step-by-step explanation:
What is the probability of rolling a one on the first die and a six on the second die?
Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.
The probability of rolling a one on the first die and a six on the second die is 1/36.
What is probability?Probability measures the likelihood or chance of an event happening.
A number between 0 and 1, where 0 represents an impossibility and 1 represents certainty, is used to express it.
By dividing the number of favourable outcomes by the total number of possible outcomes, one can determine the probability of an event.
The probability of rolling a one on the first die is 1/6, and the probability of rolling a six on the second die is also 1/6.
Since the two events are independent, we can use the multiplication rule of probability to find the probability of both events occurring together:
P(rolling a one on the first die and a six on the second die) = P(rolling a one on the first die) × P(rolling a six on the second die)
= (1/6) × (1/6)
= 1/36
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Farmer Brown has 42 animals, which are cows and chickens. They have a total of 120 legs. Write a system of equations, show your work, and solve for the number of chickens Farmer Brown has.
Answer:
The system of equations is:
x + y = 42
4x + 2y = 120
And there are 24 chickens.
Step-by-step explanation:
We know that the total number of cows (x) plus the total number of chickens (y) is 42, because Farmer Brown has 42 animals.
We also know that cows (x) have 4 legs and so 4 times the number of cows is the number of cow legs. And chickens (y) have 2 legs, so the number of chickens times two represents the total chicken legs. The sum of 4x + 2y is 120 because there are 120 legs in total.
To solve the system of equations, first solve each equation for y.
In the first equation:
x + y = 42
Subtract x from both sides to isolate y.
y = 42 - x
Second equation:
4x + 2y = 120
Subtract 4x from both sides
2y = 120 - 4x
Divide both sides by 2
y = 60 - 2x
Now that the y's are isolated in both equation, you can put them into 1 equation. Where y = y:
y = 42 - x
y = 60 - 2x
42 - x = 60 - 2x
Add 2x to both sides
42 + x = 60
Subtract 42 from both sides
x = 18
Since x is the number of cows, we know that Farmer Brown has 18 cows.
Now we can substitute the x value into one of the equations:
y = 42 - x
y = 42 - (18)
y = 24
The number of chickens is represented by y, so there are 24 chickens.
3. Given the following numbers: 17, 277, V7, V2
(a) Approximate the square root terms using the perfect squares approximation method. Your answer should be a mixed fraction. Make sure to show your work.
(b) Order the numbers from least to greatest. Please use the original symbols and radicals provided for your final answer. You may use decimals or fractions as part of your work for figuring it out. Note: Insert->Equation will give you access to the special formatting, and use the Equation tab to access the Radical function for setting up square roots.
pls pls pls pls pls pls pls pls pls pls pls plssssssssssssssssss help and make sure its right btw dont use a calculator or ur gonna get it wrong i need this now plsssss
Answer:
The second way of approximating a square root is to use a calculator. Most calculators have a radical sign on them. To find the square root of a number, we enter the radical sign.
PLEASE HELPPPP
Brainlist to best answer.
Please help I really need to get this question right
Answer:
y-5=2.5(x-2)
Step-by-step explanation:
Slope-point form -> y-y₁=m(x-x₁)
When (x₁,y₁) is (2,5) -> y-5=2.5(x-2)
This is geometry btw Find the volume of the figure
Answer:1407.4 rounded to nearest tenth
Step-by-step explanation:
If U is the set of all natural numbers less than 10, A is its subset containing all natural numbers less than 6 and B⊂U consists of all natural numbers greater than 4 (and of course smaller than 10), draw Venn diagram showing these sets. List elements of sets A, B, their union, and their intersection.
Please answer fast
Step-by-step explanation:
U would be {0,1,2,3,4,5,6,7,8,9}
A would be {0,1,2,3,4,5}
and B would be {5,6,7,8,9}
The union would be {0,1,2,3,4,5,6,7,8,9}
And their intersection {5}
The elements of sets are A = { 1,2,3,4,5 }, B = { 5,6,7,8,9,10 }, A ∪ B = { 1,2,3,4,5,6,7,8,9,10} and A ∩ B = { 5 }.
What is a set?"A set is a collection of objects. The objects are called the elements of the set. If a set has finitely many elements, it is a finite set, otherwise it is an infinite set".
For the given situaton,
Union set U = { 1,2,3,4,5,6,7,8,9,10 }
Set A = { 1,2,3,4,5 }
Set B = { 5,6,7,8,9,10 }
Union of sets A and B is [tex]A[/tex] ∪ [tex]B[/tex] = { 1,2,3,4,5,6,7,8,9,10}
Intersection of sets A and B is [tex]A[/tex] ∩ [tex]B[/tex] = { 5 }
The venn diagram below shows the sets U, A and B.
Hence we can conclude that the elements of sets A, B, A ∪ B, A ∩ B are listed.
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- 3/5 - 1/5
in simpliest form
Answer:
−4/5
Step-by-step explanation:
3/5+1/5 Combine, 3+1/5 Simplify, 4/5
I just need to figure this out.
Answer:
V=π(d/2)^2h
a) V = 3.14 x (15/2)^2 x 5.7
V= 1007.27
I have to go back to class i gave the formula and ex. pls I hope this helped
Which conclusion is best supported by the data in the table ? QUICK
Answer:
:An object floats in water if its mass is less than
its volume.
as density =mass/volume
Answer:
Option D
Step-by-step explanation:
The table is meaningless for you if you know the basics of density
density =Mass/VolumeWater has density 1g/cm³
The density should be less than 1 in order to float
Hence mass must be less than volumeThe graph of the function g(x) has x-intercepts at −5 and 7. Which equation could be g(x)?
Answer:
x²-2x-35
Step-by-step explanation:
Write it in factored form
(x+5)(x-7)
multiply them to get
x²-2x-35
PLZ HELP ME ASAP NO LINKS OR ABSURD ANSWERS
Answer:
sorry,dont know......
Find sin(cx) in the triangle.
A. 20/29.
B. 20/21
C. 21/29
D. 21/20
Answer:
[tex]{\small{\mathcal{\underline{\underline{\blue{ here \: is \: your \: solution...}}}}}} \\ \\ \small\mathfrak\purple{ \sin( \alpha = \: perpendicular \div hypotenuse \: ) } \\ \\ \small\mathfrak\purple{ = \: perpendicular = 20 ) } \\ \\ \small\mathfrak\purple{ \: hypotenuse = 29 \: ) } \\ \\ \small\mathfrak\purple{ \sin( \alpha = 20 \div 29}) \\ \\ {\small{\mathcal{\underline{\underline{\red{ hope \: it \: helps...}}}}}}[/tex]
Miah has a fish tank were she keeps her fish! Find the volume of the fish tank
HELP DUE IN 15 MINS!
Determine which of the following quadrilaterals have the property below. Choose all that apply.
Diagonals are perpendicular??
Parallelogram
Rhombus
Rectangle
Square
Kite
Isosceles Trapezoid
Answer:
Diagonals are perpendicular?
Parallelogram -No Rhombus - Yes Rectangle - No Square- YesKite - Yes Isosceles Trapezoid- NoThere are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members. Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?" Number line with closed circle on 2 and shading to the left. Number line with closed circle on 2 and shading to the right. Number line with open circle on 2 and shading to the left. Number line with open circle on 2 and shading to the right.
Answer:
Number line with open circle on 2 and shading to the right
Step-by-step explanation:
this is showing that it has to be greater than two and is going up on the number line
help me answer this question 4 (1-20)
pls help me I will make u a brainest
At an antique store, an arcade game machine was said to be worth $15000 even though its original price was only $200. As a percentage of the original price, what would be the profit if the arcade machine was sold for $15000?
200%
3000%
74%
1500%
7400%
650%
148%
Answer:
7400%
Step-by-step explanation:
I just did the calculations for 7400% and 200 and got 14800 so just rounded to get 15000 so its 7400%
Answer:
7400%
Step-by-step explanation
i use my calculator for this stuff
fems last bowling scores were 75,72,90,80
what was fems mean score?
Answer:
79.23
Step-by-step explanation:
Add all up and divide by how many are there to find the mean
Answer:
79.25
Step-by-step explanation:
75 + 72 + 90 + 80 = 317
317 ÷ 4 = 79.25
have a good day! :)
Solve.
0.7 -3.4 =
-2.7
2.7
3.6
-4.1
Answer:
0.7-3.4=-2.7
the answer is -2.7
Answer:
-2.7
Step-by-step explanation:
A circle has a center at A (-3,4) and radius of 4 units. What is the equation of the circle? Show work!
Answer:
The equation of the circle is (x+3)^2 + (y-4)^2 = 16.
Step-by-step explanation:
The equation of a circle can be calculated if the center and the radius are known. The equation of a circle is given by (x-h)² + (y-k)² = r²
Where (h, k) = center coordinates and r = radius.
What number a is 24 % of 25
Answer: 6
Step-by-step explanation: 25x0.24=6
Answer:
6 ,. ...................
I need help with this problem please
NO LINKS
please help me ASAP 15 pts
Answer:
Where is the question
-_-
-_-
-_-
-_-
-_-
-_-
Step-by-step explanation:
50 points precalc math, please please help me I haven't been able to solve this in 2 days. I've looked everywhere and asked so many ppl to no avail :'(
Answer:
2
Step-by-step explanation:
this answer is right you can see hear
Answer:
The correct answer is z=2 I did the math sorry if it is not correct!
PLEASE HELP!!!!!!!!!
Answer:the correct answer is D
Step-by-step explanation:
Find the area of each circle. Round to the nearest tenth.
Answer:
A≈50.27
Step-by-step explanation:
Using the formulas
A=πr2
d=2r
Solving forA
A=1/ 4πd^2=1/ 4·π·82≈50.26548
Answer:
Area= 50.3cm^2
Step-by-step explanation:
Use the area of a circle formula A= πr²
Then plug in your radius which is half of your diameter.
A=π(4)² = 50.3 cm²
A box measures 18 inches wide by 9 inches deep. The height of the box is 1 1/2 feet. What is the volume of the box? Remember if ft is equivalent to 12 in.
Answer: 2,916 inches³
Step-by-step explanation:
The volume of a box is:
= Length * Width * Height
But all of these have to have the same units for it to work. This means that the height of the box will have to be converted to inches :
1 ft is 12 inches so:
= 1¹/₂ * 12
= 3/2 * 12
= 18 inches
Volume is therefore:
= 18 * 9 * 18
= 2,916 inches³
please help me...i’m stressed to the max and i feel like giving up. just please help me with this .
Answer:
The third one
Step-by-step explanation:
Dont give up i understand that it is hard but i promise it will get better hang in there friend