Answer:
24
Step-by-step explanation:
So, Dersan's path is a right triangle. You have to find the last side. You can use the triples or 6^2+8^2=c^2 but I'll use a triple.
3,4,5.
The last side is 10.
6+8+10=24
hope this helped!
Maria bought a laptop computer for $850. The value of the computer depreciates about 25% each year. After 3 years, she decides to sell it to her younger brother. What is a fair price for the computer?
Using the depreciation formula:
start value x percent of value^time
850 x 0.75^3 = $358.59
answer: $358.59
Answer: $358.59
Step-by-step explanation:
[tex]$$After one year the laptop computer's price is:$$\begin{aligned}&=\$ 850-\$ 850 \times 25 \% \\&=\$ 850-\$ 212.5 \\&=\$ 637.5\end{aligned}$$[/tex]
[tex]$$ Again two year the computer's price is:$$\begin{aligned}&=637.5-25 \% \text { of } 637.5 \\&=637.5-159.375 \\&=\$ 478.125\end{aligned}$$[/tex]
[tex]\bold{\text { So a fair price for the computer is } \$ 358.59}[/tex]
[tex]\begin{aligned}\\\bold{Or}\text { Simply Calculate as } &=(\text { Purchase price }) \times(1-25 \%)^\text{time} \\&=850 \times(1-0.25)^{3} \\&=850 \times(0.75)^{3} \\\bold{&=\$358.59}\end{aligned}[/tex]
Please check if I’m right or not!
Answer:
1, 3, and 4 are CORRECT
2 is wrong.
Step-by-step explanation:
In #2
-9(x + 4) Multiply by using distributive property. The -9 must be multiplied to both the terms in the parenthesis.
so you should get:
-9x - 36
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
26
Part 1
Select all that apply.
A.
irrational numbers
B.
whole numbers
C.
real numbers
D.
natural numbers
E.
integers
F.
rational numbers
Answer:
26 is a:
B. Whole number
D. Natural number
E. Integer
F. Rational number
Answer:
B, C, D, E, F or all options except A
Step-by-step explanation:
26 is not an irrational number since irrational numbers cant be put in fraction form while 26 can be. ex: 26/1, 52/2 and so on
26 is a whole number.
whole numbers are 0 1 2 3 4 and so on
26 is a real number
imaginary number example: sqrt of -2
natural numbers are numbers going from 1 to infinity
integers are any number that is not a decimal.
26 is rational since it's not irrational.
7 Anton has some money saved for school. To increase the amount he has
saved, he got a job and added all the money earned to the amount already
saved.
I
• Anton was paid a constant rate in dollars per hour at his job.
• After working 10 hours, the amount he had saved was $450.
• After working 20 hours, the amount he had saved was $600.
Anton did not save any other money or spend any of the money he
had saved.
Which equation represents y, the amount of money in dollars Anton would
have saved after working x hours?
Select one answer.
Section 4
A y = 10x + 150
B y = 15x + 100
C y = 15x + 300
The linear function that represents the amount of money in dollars Anton would have saved is given by:
C y = 15x + 300
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Taking the amounts from 10 and 20 hours, it is found that in 10 hours he saves $150, hence the slope is given by:
m = 150/10 = 15.
Considering that after working 10 hours, the amount he had saved was $450, and he saves $150 in 10 hours, his initial amount was given by:
b = 450 - 150 = 300.
Thus, the equation is given by:
y = 15x + 300.
Which means that option C is correct.
More can be learned about linear functions at https://brainly.com/question/24808124
The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. If the area of each circular target is 28.26 square feet, what is the diameter of each circle? Use 3.14 for π and round your answer to the nearest tenth.
Answer: A) 7.1 square feet
Step-by-step explanation:
area of a circle= πr^2
given,
d=3 feet=3/2=1.5 feet
hence,
area of a circle= πr^2
= 3.14×(1.5)^2
= 7.065
=7.1 square feet.
Express as a fraction in the simplest form: 43.5%
a. 435/1000
b. 870/200
c. 87/200
Answer:
C
Step-by-step explanation:
43.5 x 10 = 435
435/1000 = 87/200 (simplified)
What is the sum? 2x/x2 + x-4/9x
Answer:
(x² + 14x)/(9x²)
Step-by-step explanation:
To do this calculation process:
The first term: 2x/x² = 2/x.
Then: (2/x) + (x - 4)/(9x).
We should common the denominator by multiplying the denominators of the two terms (9x)(x) = 9x² and dividing each denominator by the common denominator.
So, it will be equal:
[(2)(9x) + (x - 4)(x)]/9x² = (18x + x² - 4x)/9x² = (x² + 14 x)/9x².
Help me quickly!!
Brainliest + 50 points
No spammers allowed
Thanks in advance
:) :)
Answer:
x = 5
Step-by-step explanation:
Given coordinates: (3, 4) (x, 6)
Slope: 1
Use the slope formula to find the value of x:
Slope = y2 - y1 / x2 - x1
Substitute the given information into the formula:
1 = [tex]\frac{6-4}{x-3}[/tex]
1 = [tex]\frac{2}{x-3}[/tex]
Multiply both sides of the equation by the common denominator:
[tex]\frac{2(x-3)}{x-3} = x-3[/tex]
Reduce the fraction:
2 = x - 3
Rearrange variables to the left side of the equation:
-x = -3 - 2
Calculate:
-x = -5
Divide both sides with the coefficient of the variable:
x = 5
hope this helps!! p.s. i really need brainliest :)
Answer:
x = 5
Step-by-step explanation:
Slope formula
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\sf let\:(x_1,y_1)=(3,4)[/tex]
[tex]\sf let\:(x_2,y_2)=(x,6)[/tex]
[tex]\sf \implies slope=\dfrac{6-4}{x-3}=\dfrac{2}{x-3}[/tex]
As the slope equals 1:
[tex]\begin{aligned}\sf \implies \dfrac{2}{x-3} & =1\\\sf 2 & =\sf x-3\\ \sf 2+3 & =\sf x\\ \sf x & = \sf 5\end{aligned}[/tex]
Therefore, x = 5
16. The population density of football stadium is.57 people per square foot. If the area of the stadium is 1,750,000 ft?,
then about how many people are in the stadium?
Answer:
99750000 people
Step-by-step explanation:
1,750,000*57=99750000
Why wont anyone give me just the answers when i need them?
Answer:
id.k maybe because people are busy ,
i think the same as you.
Step-by-step explanation:
Write an equation in slope-intercept form that is parallel to y - 5x = 10 and passes through the point (2, -4).
Answer:
y = 5x - 14
Step-by-step explanation:
*Parallel lines have the same slopes*
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)y - 5x = 10 <== add 5x to both sides
+ 5x + 5x
y = 5x + 10
The slope of the line that is parallel to this line is 5.
We need to find the y-intercept (b) for the parallel line using (2, -4):
y = 5x + b <== substitue 2 for x and -4 for y
-4 = 5(2) + b
-4 = 10 + b <== subtract 10 from both sides to isolate b
-10 -10
-14 = b
y = 5x + b changes to y = 5x - 14
Hope this helps!
Slope:-
m=5Parallel lines have equal slope
passes through (2,-4)Equation in point slope form
y-y1=m(x-x1)y+4=5(x-2)y+4=5x-10y=5x-14The Earth revolves around the Sun one year. How many
weeks, days, hours, minutes, and seconds are in a year?
Answer:
Weeks = 52
Days = 365
Hours = 8,760
Minutes = 525,600
Seconds = 3.1536 × 10^7
Step-by-step explanation:
Answer:
1 Year =
31540000 seconds.
525600 minutes.
8760 hours.
365 days.
52.1429 weeks.
12 months.
Step-by-step explanation:
Hey there!
You can do this by calculating all the numbers since you already know that there are 24 hours in a day, 12 months in a year and 365 days in a year
On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 20. Find the z-score of a person who scored 270 on the exam.
Answer:
z = -1.5
Step-by-step explanation:
To Find z-score
z = (X - μ) / σX = Test scoreμ = Mean σ = Standard DeviationGiven
X = 270μ = 300σ = 20Solving
z = 270 - 300 / 20z = -30/20z = -1.5Use the equation A = bh to calculate the height of a parallelogram with an area of 36 square inches and a base of 9 inches
Answer:
4 inches
Step-by-step explanation:
A = b x h
A = 36
b = 9
36 = 9 x h
4 = h
height = 4 inches
18. Without solving the radical equation VX + 5 + 9 = 0, how could you tell that it has no real solution?
Answer:
Has two unkown variables
Step-by-step explanation:
When there is only one equation provided with two unknown variables, it is difficult to solve for the unknown variables
The most simplified version of this equation would be VX = -14
More information would be needed to solve
. mervin needs cash and he needs it now. he goes to advanced financial and takes out a loan of 300.00. advanced financial calls their loans mirco-loans and get to choose their own interest rates. if they set the rate at 70% per year, how much interest will mervin need to pay back in 5 months if interest compounds monthly? how much will he owe in 5 months using approximate equivalent growth?
Mervin's loan of $300 is an illustration of compound interest
The interest to pay back in 5 months is $74.2, and the amount to pay back in 5 months is $374.2
The interest to pay back in 5 monthsThe given parameters are:
Principal, P =$300.00Rate, r = 70%Time, t = 5 monthsThe compound interest is calculated as:
CI = P * (1 + r)^(t/12) - P
Substitute known values
CI = 300 * (1 + (0.70))^(5/12) - 300
Evaluate the expression
CI = 74.2
Hence, the interest to pay back in 5 months is $74.2
The amount to pay back in 5 monthsThe amount (A) is calculated using:
A = CI + P
This gives
A = 74.2 + 300
A = 374.2
Hence, the amount to pay back in 5 months is $374.2
Read more about compound interest at:
https://brainly.com/question/24924853
PLEASE HELP
Given f(x) = - 5x + 2 g(x) = 1/2 * x + 4 and find f(g(x)) .
Answer:
-5x/2 - 30
Step-by-step explanation:
Oop I placed it in the wrong spot
Place the give into the formula
f(g(x)) = f(x/2+4)
Plug it in
-5(x/2+4)+2
Simplfy
-5x/2-20-10
Answer:
-5x/2 - 30
A map is drawn using the scale of 1 cm to 8 miles. The distance between two towns on the map is 7.5 cm. Work out the actual distance between the two towns.
Answer:
60 miles
Step-by-step explanation:
[tex]\frac{1}{8}*\frac{7.5}{7.5}=\frac{7.5}{60}[/tex]
Remember these are ratios!
Hence, they are 60 miles apart
Given that secA = 13/5, what is the value of cosA
Answer:
cos A = 5/13
Step-by-step explanation:
sec A = 1/cos A
sec A = 1/cos A 13/5 = 1/cos A
cos A = 5/13
(3+√3) x (2+√2) gr 9 maths sum from number system ans fast pls
(3+√3) x (2+√2)
6 + 3√2 + 2√3 + √3√2
6 + 3√2 + 2√3 + √6
Answer:
6 + 2√3 + 3√2 + √6
Step-by-step explanation:
The equation :
(3 + √3)(2 + √2)
Using Distributive Property,
3(2) + √3(2) + 3(√2) + (√3)(√2)6 + 2√3 + 3√2 + √6h(x)= {1/x-5 , x=0
{-(x-4)^2, x=7
{ 3x-2, x~0,7
h(6)
Answer:
16
Step-by-step explanation:
h(x)=3x-2 in (0,7)
h(6)=3(6)-2=18-2=16
Pls help! I really need help! This is the question..
A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?
Answer:
2.083 g/[tex]cm^{3}[/tex]
Step-by-step explanation:
Density is mass / volume
volume = length * width * height
(In this case since iron is usually in a block unless stated otherwise)
100g / (2*4*6)cm^3 = density
100g / [tex]48 cm^{3}[/tex] = 2.083 g/[tex]cm^{3}[/tex]
So I need help trying to answer these triangle problems. I don't know how to find the measure of an angle
Answer:
try using a protractor
Step-by-step explanation:
when you use a protractor it can be easier and collect all like terms together
What is the domain and range?
A punch bowl contained 2 liters of soda, 1 liter of orange juice
what is the answer forAt a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?
Answer:
160
Step-by-step explanation:
72=0.45x
72/0.45=x
x=160
A triangle has side lengths of (5n+3p)(5n+3p) centimeters, (9n+8q)(9n+8q) centimeters, and (6q+9p)(6q+9p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
The expression that represents the perimeter of the given triangle in centimeters is; 14n + 10p + 14q
What is the perimeter of the triangle?We are given the side lengths of the triangle as;
5n + p; 9n + 8q; 6q + 9p
Now, the formula for perimeter of a triangle is;
Perimeter = a + b + c
where a, b and c are side lengths of the triangle. Thus;
Perimeter = 5n + p + 9n + 8q + 6q + 9p
Perimeter = 14n + 10p + 14q
In conclusion, we can sa that the perimeter of the given triangle is 14n + 10p + 14q.
Read more about Triangle Perimeter at; https://brainly.com/question/24382052
What is the radius and diameter of the following circle?
14 cm
Answer:
Diameter : 14 cm
14÷2=7
Radius : 7
Step-by-step explanation:
Diameter is two time the Radius
What is the volume of the cardboard container
what expression is equivalent to 1/4 (x+24)
Use the Distributive Property, which states the following:-
[tex]\sf{a(b+c)=ab+ac}[/tex]
Where
we distribute a by multiplying it times b and c
a, b, and c can be either constants (numbers) or variables (letters)
Distribute:-
[tex]\sf{\displaystyle\frac{1}{4}(x+24)}}[/tex]
Multiply the term before the parentheses by the terms inside the parentheses:-
[tex]\sf{\displaystyle\frac{1}{4} x+6}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)