Answer:
9.6
Step-by-step explanation:
this is an arithmetic progression. please help!
A graduate is required to pay his education loan of RM3960 in 24 monthly instalments, with the first instalment being RM 50. Subsequent instalments are increased by RM 10 each month. What is the amount of the last instalment?
Answer:
The last installment is RM 280
=========================
GivenAP with:
The first term a = 50,Common difference d = 10,Number of terms n = 24.SolutionUse the nth term equation of AP to find the last installment:
[tex]a_n=a_1+(n-1)d[/tex][tex]a_{24}=50+(24-1)(10) = 50+23*10=50+230=280[/tex]PLEASEEE HELP ME FO THISSS
As C is the mid-point of BD.
Therefore, BC=DC ...(i)
As AB ⊥ BD and ED ⊥ BD
So, ∠ABC= 90° and ∠EDC= 90°
Therefore, ∠ABC=∠EDC= 90° ...(ii)
As two line segments, AE and BD intersect at point C, so the vertically opposite angles are equal.
Therefore, ∠BCA=∠DCE ...(iii)
Now, in ΔABC and ΔEDC,
Angle, ∠BCA=∠DCE [ from equation (iii)]
Side, BC=DC [ from equation (i)]
Angle, ∠ABC=∠EDC [ from equation (ii)]
So, by ASA property of congruency, ΔABC and ΔEDC are congruent
Hence, ΔABC ≅ ΔEDC.
Max puts a stopper in the bathtub and turns on the faucet at t=0. After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub. Write an equation that relates the number of gallons, g, to the time, t. Does the relationship represent a linear function? Justify your response.
Answer:
y = 2.2x
Yes, it represents a linear function
Step-by-step explanation:
Given that :
Stopper applied at t = 0
At t = 5 minutes ; water in tub = 11 gallons
At t = 10 minutes ; water in tub = 22 gallons
General form of a linear function :
y = mx + c
Where c = intercept ; m = Slope ; y and x are dependent and independent variables respectively
The intercept = gallon of water at t = 0 ; this is not given and will be taken as 0
Slope = change in y / charge in x
Slope = (22 - 11) / (10 - 5)
Slope = 11 / 5
Slope = 2.2
Hence ;
y = 2.2x + 0
y = 2.2x
Yes, it represents a linear function
Please help someone anyone please help
Answer:
if 135 calories represents 1/4 then a whole cup is 540 calories so two cups is 540 times 2 which is 1080
Step-by-step explanation:
Answer:
1080 calories
Step-by-step explanation:
135x8=1080
Im on a test and i need the answer really bad please help me out
If he drank 80% of his water on his entire hike. How much did he drink? (Remember he brought 3 liters of water.)
p.s i have class
Answer:
2.4 Litres of waterStep-by-step explanation:
80% of (3 litres)
You can take 3 litres to be 3000 ml which is how I solved it.
OPTION 1_________80/100 x 3000
=2400 or 2.4 litres
The same can go with not taking ml which you can just use litres
OPTION 2_________80/100 x 3
=2.4 litres
I used the ml since I do not need the calculator for that one and it is faster to calculate.
Find the difference: -15 - 47
Answer:
-62
Step-by-step explanation:
One easy way to subtract two negative numbers like this (for me anyway) is to factor out the minus sign and add:
- (15 + 47)
- (62)
Remove the parentheses
-62
Subtract 5¢ from $4.10. Include the dollar sign and no spaces in your answer.
Answer:
4.05 c
Step-by-step explanation:
Answer:
$4.05
Step-by-step explanation:
$4.10 - $0.05 = $4.05
Maria drove 520 miles in 8 hours. How many miles per hour did she drive?
Answer:
65 mph
Step-by-step explanation:
520/8 is 65
i need help with this
Answer: A.3x² - 2x - 6
Step-by-step explanation:
Which value is closest to 0 on the number line?
A. 20
B. -21
C. |2|
D. |-3|
2
u r the very much welcome
Answer:
The answers C
Step-by-step explanation:
hope this helps
Which of the following is NOT always true of a function and its inverse?
The statement that is not always true of inverse functions is (d) f-1(x) is a function
What are inverse functions?Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function
How to determine the statement that is not always true of inverse functions?As mentioned above,
The inverse functions are the opposite of an original equation
This means that:
If a function is f(x), then the inverse if f-1(x)
However, all inverse equation are relations, but not all inverse equations are functions
This means that the statement that is not always true of inverse functions is (d) f-1(x) is a function
Read more about inverse function at
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how far away is earth from the sun?
Answer:
the earth is 93.111 million miles away from the sun
Which two points have the same absolute value?
P Q R S
_______________
-1 0 1
Answer:
-1 and 1
Step-by-step explanation:
Please help
Thanks In advance!
the answer will be 4
x=4.
the angle ABC is parallel to angle AEF
PLEASE HELP WILL MARK BRAINLIEST NEED THE SMARTEST PEOPLE!!!
Answer:
-430
Step-by-step explanation:
-2/3(3x - 4) +3x =5/6
What is X
X= -19/6
X= -11/6
X = 21/6
X=29/6
The value of x from the given linear function is -11/6
Linear equationLinear equations are expression that has a leading degree of 1
Given the linear equation below
-2/3(3x - 4) +3x =5/6
Expand
-2/3(3x) - 2(-4) + 3x = 5/6
-2x + 8/3 + 3x = 5/6
Collect the like terms
x = 5/6 - 8/3
x = (5-16/6
x = -11/6
Hence the value of x from the given linear function is -11/6
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Find the missing side, round to the nearest hundredth.
Answer:
1)10.57
2)5.91
Step-by-step explanation:
1)According to Pythagoras theorem
c=√a²+b²
=√5.2²+9.2²
=√27.04+84.64
=√111.68
=10.57
2) according to Pythagoras theorem
c²=a²+b²
6.5²=2.7²+b²
b²=6.5²-2.7²
b=√6.5²-2.7²
=√42.25-7.29
=√34.96
=5.91
Easy math problems!!!!!!!!
Answer:
2√23
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. Therefore, we can use PT to solve for the missing length.
Step 2: Identify Variables
Leg a = √88
Leg b = 2
Hypotenuse c = x
Step 3: Solve for x
Substitute: (√88)² + 2² = x²Exponents: 88 + 4 = x²Add: 92 = x²Isolate x: √92 = xSimplify: 2√23 = xRewrite: x = 2√23Answer:
Mm did you do this already its been 4 days just want to make sureee
Step-by-step explanation:
2 + 2x + 1 = 3 + 2 + 3
A one solution
B no solutions
C infinite solutions
Answer:
The correct answer is A. one solution.
The actual solution is x = 2.5.
Step-by-step explanation:
Here is the solution below:
Step 1: 2 + 2x + 1 = 3 + 2 + 3 <----- Here is the original problem.
Step 2: 2 - 2 + 2x + 1 - 1 = 8 - 2 - 1 <----- Subtract 1 and 2 from both sides.
Step 3: 2x = 5 <----- Simplify
Step 4: 2x/2 = 5/2 <---- Divide both sides by 2.
x = 2.5
Hope this helps! :D
A. One Solution
Step-by-step explanation:Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form: x=5/2
Decimal Form: x=2.5
Mixed Number Form: x=2 1/2
(7x-1)+(13x-19)=180 solve for x
Answer:
x = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
(7x - 1) + (13x - 19) = 180
Step 2: Solve for x
Combine like terms: 20x - 20 = 180Isolate x term: 20x = 200Isolate x: x = 10Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: (7(10) - 1) + (13(10) - 19) = 180Multiply: (70 - 1) + (130 - 19) = 180Subtract: 69 + 111 = 180Add: 180 = 180Here we see that 180 does indeed equal 180.
∴ x = 10 is the solution to the equation.
how do you do this with decimals
f(x) = x² + 3x
f(-4)=
evaluate the function
Answer:
4
Step-by-step explanation:
f(x) = x² + 3x
f(-4) = (-4)^2 + 3×(-4)
= 16 - 12
= 4
Someone, please help me!! I don't understand
whats the answer giving brainliest answer
Answer:
C because its the only one that fits the question its asking. 12-6 8-4 4-2
Step-by-step explanation:
PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT
We know that f(x) is a positive, decreasing, and concave down function.
Therefore, the order, from least to greatest is:
right endpoint (since you're considering the smallest values)actual areamidpoint trapezoidalright endpointTommy went to Taco World and bought 3 tacos and 4 burritos and spent $14.30. Burritos cost twice as
much as tacos. What was the cost of each taco and each burrito?
If Tommy spent $14.30 and the cost of burritos is twice as much as tacos then the cost of Taco is $1.30 and the cost of burrito is $2.60.
Given that Tommy spent $14.30 and the cost of burritos is twice as much as tacos .
We are required to find the cost of each tacos and burrito.
Suppose the cost of a taco be x and the cost of burrito be y.
Because the cost of burrito is twice as the cost of taco so y=2x.
Total expenditure by Tommy=3x+4*2x
14.30=3x+8x
11x=14.30
x=1.30
y=2*1.3
y=$2.60
Hence if Tommy spent $14.30 and the cost of burritos is twice as much as tacos then the cost of Taco is $1.30 and the cost of burrito is $2.60.
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PLEASE HELP WILL MARK BRAINLIEST Question 8
Which pair of equations show below would have infinite solutions?
Answer
A Y = -2 + 8
y = 4x - 7
B y = x - 4
y = 3x - 2
C) x
x – 3y = -3
x – 3y = 6
D 3x +y = 3
6x + 2y = 6
Answer:
Step-by-step explanation:
a)y=-2x+8
y=4x-7
solution
b)y=x-4
y=3x-2
solution
c)x – 3y = -3
x – 3y = 6
no solution
d)3x +y = 3
6x + 2y = 6
infinite.
Answer: D
Step-by-step explanation:
32. Which of the following best describes the relationship between AABC and ADEF? (1 point)
B
E
A
TH
D
F
O AACBAFED
O AABC ADEF
O AABC AEFD
O AABC ADFE
Answer:
2) tri ABC is congreunt to tri DEF
Step-by-step explanation:
you would have to make sure you name the traingles in a specific order so the congruent angles in both triangles are listed in the same order :))
The option that best describes the relationship between AABC and ADEF is AABC ~ ADEF, the correct option is B.
What are similar triangles?
All similar triangles are triangles that share these two features presented as follows;
1. Congruent angle measures.
2. Proportional side lengths.
We are given that;
AB is similar to DE: BC is similar to EF; AC is similar to DF; ZA is similar to ZD; ZB is similar to ZE; ZC is similar to ZF.
Now,
The relationship between two similar triangles is that their corresponding angles are equal and their corresponding sides are proportional1. This means that if AABC and ADEF are similar, then:
∠A = ∠D
∠B = ∠E
∠C = ∠F
AB/DE = BC/EF = AC/DF
To describe this relationship, we can use a notation that shows which angles and sides correspond to each other. For example, we can write:
AABC ~ ADEF
This means that triangle ABC is similar to triangle DEF and the order of the letters shows how they match up. The first letter of each triangle corresponds to the first angle, the second letter corresponds to the second angle, and so on.
Therefore, by similar triangle properties the answer will be AABC ~ ADEF.
More can be learned about similar triangles at; brainly.com/question/14285697
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HELP!!!! I NEED IT ASAP!!!!
Answer:
27 and 28
Step-by-step explanation:
Let x = the first number
Let x + 1 = the second number
x + x + 1 = 55 Combine the x's
2x + 1 = 55 Subtract 1 from both sides.
2x = 54 Divide both sides by 2
x = 27 the second number would be 28