explain how 984/616=123/77
Answer:
984/616 is equal to 123/77 because it is simplified, also meaning reduced by finding the GCF (greatest common factor), which in this case is 8. So therefore, when you divide the numerator of 984 by 8, you get 123, and when you divide the denominator of 616 by 8 as well, you will get 77.
−3.6−1.9t+1.2+5.1t
Khan academy pls help
Answer:
3.2t - 2.4
Step-by-step explanation:
A youth group earns $600 for charity and decides to put it in a bank. Calculate the amount of money the group will have for each scenario.
Part A chase bank pays simple interest at 5% and the group leaves the money for 5 years
part B witney bank pays an interest rate of 4% compounded annually and the group leaves the money for 6 years
Based on the types of compounding and the interest rates, the following are true:
Part A - The group will have $750Part B - The group will have $759.19When using simple interest, the amount the group will have is:
= Amount x ( 1 + rate x number of years )
= 600 x ( 1 + 5% x 5)
= $750
When using compound interest, the group will have:
= Amount x ( 1 + rate) ^ Number of years
= 600 x ( 1 + 4%)⁶
= $759.19
In conclusion, compound interest yields more.
Find out more about compound interest at https://brainly.com/question/25263325.
is 8/24 greater or 8/20
Answer:
8/20
Step-by-step explanation:
the 8s may be the same, but because the denominator 20 is smaller than 24, 8 takes up more of it. another way to check is that 8/24 as a decimal is .33 repeating, but 8/20 as a decimal is 0.4.
0.4 is more than .33 repeating. reaffirming that 8/20 is bigger
16. (-4, -3), (-2, 2)
Answer:
16. 5/2
Step-by-step explanation:
Rise/run
2- (-3)=5
-2- (-4)=2
rise/run= 5/2 (Five over two)
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 25 cm cube is built from small cubes, each 5 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
30:1
5:1
3:1
2:1
Answer:
5:1
Step-by-step explanation:
Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?
Answer:
4 inches.
Step-by-step explanation:
The height of a rectangle is reduced by Shawna to a size of 2 inches.
The original width of the rectangle was 24 inches and the height was 12 inches.
If the ratio of width to height remains the same, then we can find the new width.
If the new width is x inches then, we can write
[tex]\frac{x}{2} = \frac{24}{12}[/tex]
⇒ x = 4 inches. (Answer)
Answer:
the new width is 14
Step-by-step explanation:
original height 12
12-2= 10 (the amount that was taken away to get the new height)
24- 10= 14 ( the new width)
PLEASE HELP!!!
A golfer hits a ball with an initial velocity of 32.7 m/s from the ground. Find the following (round all answers to 2 decimal places...no units):
When does the ball hit the ground? ___
What is the highest height the ball goes? ___
When does the ball reach its max height? ___
How high is the ball after 4.3 seconds? ___
When is the ball 24 meters off the ground? ___ and ___ (enter the smaller value first)
Answer: 1. it doesnt since the velocity is so high, it will land in the water.
2. the ball goes about 500 feet in the air.
3. the ball reaches its max height when it starts to go down
4. the ball is at 250 since it takes 8.6 seconds for it to reach 500 feet
Step-by-step explanation:
how to solve 15=6+2(n-3) + 3n
Step-by-step explanation:
15 = 6 + 2(n-3) + 3n
or, 15 = 6 + 2n - 6 + 3n
or, 15 = 6 - 6 + 2n + 3n
or, 15 = 0 + 5n
or, 15 = 5n
or, 15/5 = n
or, 3 = n
;- n = 3.....
I Hope that this will Help you...!!!
To join the tennis club, there is a $18.50 initial fee and a $1.10 yearly fee. What would be the value of the y-intercept in this situation?
Y = 18.50
Please tell me if it is right XD <3
Tell me which option is correct: (0,m) (b,0) (m,0) (0,b) which one of those
Answer:
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Class 11
>>Physics
>>Units and Measurement
>>Errors in Measurement
>>You measure two quantities ...
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You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for
AB
as
Medium
Solution
verified
Verified by Toppr
Correct option is
D
1.4m±0.2m
Here, A=1.0m±0.2m, B=2.0m±0.2m
AB=(1.0m)(2.0m)=2.0m
2
AB
=
2.0m
=1.414m
Rounding off to two significant figures, we get
AB
=1.4m
AB
ΔAB
=
2
1
(
A
ΔA
+
B
ΔB
)=
2
1
(
1.0
0.2
+
2.0
0.2
)=
2
0.3
Δ
AB
=
2
0.3
×
AB
=
2
0.3
×1.414=0.212m
Rounding off to one significant figure, we get
Δ
AB
=0.2m
The correct value for
AB
is 1.4m±0.2m
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Find the volume of a sphere with a radius of 8.6 cm. Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
2664.3
Step-by-step explanation:
Hope this helps!
please help.
with the steps
Answer:
-4/243
Step-by-step explanation:
Your calculator can do this.
You know that 3³ = 27 and (-3)³ = -27. You also know that 3² = 9, and that anything to the zero power is 1. With these facts, you can simplify the expression to ...
[tex]\dfrac{\sqrt[3]{-27}-27^0}{3^3\times3^2}=\dfrac{-3-1}{27\times9}=\boxed{-\dfrac{4}{243}}[/tex]
A first number plus twice a second number is 5. Twice the first number plus the second totals 13. Find the numbers.
Let a and b = the numbers we must find.
a + 2b = 5.....Equation A
2a + b = 13.......Equation B
We have a system of equations in two variables.
I will solve A for little a.
a + 2b = 5
a = 5 - 2b
Now I will plug 5 - 2b for a in B.
2(5 - 2b) + b = 13
10 - 4b + b = 13
-3b = 3
b = -1
To find a, replace b with -1 in EITHER A or B.
I will use Equation A.
a + 2b = 5
a + 2(-1) = 5
a - 2 = 5
a = 7
The two numbers are -1 and 7.
Understand?
Express the following numbers in usual form:
(i) 8.02×10^-5
(ii) 4.5×10^3
(iii) 7×10^-5
(iv) 1.0001×10^8
(v) 4.3×10^12
(vi) 3.61492×10^5
(i) Given number = 8.02×10^-5
⇛ 8.02/100000
⇛ (802/100)/100000
⇛ 802/10000000
⇛ 0.0000802
The usual form of 8.02×10^-5 is 0.0000802
(ii) Given number = 4.5×10³
⇛4.5×1000
⇛ (45/10)×1000
⇛ 45×100
⇛ 4500
The usual form of 4.5×10³ is 4500
(iii) Given number = 7×10^-5
⇛ 7/100000
⇛ 0.00007
The usual form of 7×10^-5 is 0.00007
(iv) Given number = 1.0001×10⁸
⇛ 1.0001×100000000
⇛ (10001/10000)×100000000
⇛ 10001×10000
⇛100010000
The usual form of 1.0001×10⁸ is 100010000
(v) Given number = 4.3×10¹²
⇛ 4.3×1000000000000
⇛ (43/10)×1000000000000
⇛ 43×100000000000
⇛ 4300000000000
The usual form of 4.3×10¹² is 4300000000000
(vi) Given number = 3.61492×10⁵
⇛ 3.61492×100000
⇛ (361492/100000)×100000
⇛ 361492
The usual form of 3.61492×10⁵ is 361492
What is the remainder when (3x3 â€"" 2x2 4x â€"" 3) is divided by (x2 3x 3)?.
The remainder of the equation is [tex]\rm 28x+30[/tex].
Given that,
When the equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].
We have to find,
The remainder of the equation?
According to the question,
The equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].
On the division of the polynomial, the remainder is,
[tex]\dfrac{\rm 3x^3-2x^2+4x-3}{\rm x^2+3x+3}[/tex]
Factorize the equation to convert this into the simplest form,
[tex]\rm 3x^3-2x^2+4x-3\\\\3x^3-11x^2+9x^2+9x+28x-33x-33+30\\\\Taking \ the \ common \ terms \ and \ simplify\ the\ equation\\\\3x^3+9x^2+9x+11x^2+33x-33+28x+30\\\\3x(x^2+3x+3) - 11(x^2+3x+3) + 28x+30\\\\(3x+11) (x^2+3x+3) +28x +30[/tex]
Now, the equation can be written as,
[tex]\rm = \dfrac{(3x+11) (x^2+3x+3) +28x +30}{ x^2+3x+3}\\\\= \dfrac{(3x+11) (x^2+3x+3) }{ x^2+3x+3} + \dfrac{28x +30}{ x^2+3x+3}\\\\= (3x+11) + \dfrac{28x +30}{ x^2+3x+3}\\\\[/tex]
The relation between the divisor, remainder, and quotient is,
[tex]\rm = Quotient + \dfrac{Remainder}{Divisor}[/tex]
On comparing with the equation,
The remainder becomes 28x +30.
Hence, The required remainder of the equation is [tex]\rm 28x+30[/tex].
For more details refer to the link given below.
https://brainly.com/question/25880057
Let w = 4. Enter >, <, or = to compare the expressions. 3w² + 1 10w + 8
Answer: ≥ without the line on the bottom.
Step-by-step explanation:
I am assuming the expression you are talking about are
[tex]3w^{2} +1[/tex] and [tex]10w+8[/tex].
If we were to replace w with 4 and calculate, we will find the answer:
[tex]3*4^{2} +1=3*16+1=48+1=49[/tex]
[tex]10*4+8=40+8=48[/tex]
Since the first expression, [tex]3w^{2} +1[/tex], is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.
How do I write two time the quotient of a number and two
Answer:
2(quotient of x) + 2..............
Pls help I'm falling behind
5i/x-5i what is the simplest form?
51/x - 5i
this is the answerrrr
what is the mean of the data set
14 19 18 12 22 15 16 14 14 21 20
A 15.75
B 16.00
C 16.75
D 19.50
a package of 9 batteries cost $4.72 what is the cost per battery
Answer: 1.90
Step-by-step explanation:
9/4.72= 1.90
Answer:
1.90
Step-by-step explanation:
9/4.72= 1.90
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If
Erica has at most $10 to spend on
the cab ride, how far could she travel?
Answer: 12.69 miles or less
Step-by-step explanation:
$10 - $1.75 = $8.25
$8.25/$0.65 = 12.69
What is the perimeter of â–łJKL? 6 9. 5 11. 5 19.
The perimeter of the rectangle IJKL is 16units.
Since we are not given a diagram, we can assume the diagram is a rectangle IJKL with the following parameters:
Length = 3 units
Width = 5 units
The formula for finding the perimeter of a rectangle is expressed as:
P = 2(L + W)Substitute the given values to have:
P = 2(3 + 5)
P = 2(8)
P = 16 units
Hence the perimeter of the rectangle IJKL is 16units.
Note that this formula is applicable to any rectangle given.
Learn about perimeter of shapes here: https://brainly.com/question/303508
make w the subject of the formula
Answer:
w= [tex]\frac{y+1}{2+a}[/tex]
Step-by-step explanation:
y-aw=2w-1
y+1=2w+aw
y+1=w(2+a)
[tex]\frac{y+1}{2+a}[/tex]=w
pls help I really need it too pass I am begging
Answer:
Lateral : 103.67 in²
Total : 864 in²
Step-by-step explanation: there you go
Angle a and angle b are supplementary angles. if measure angle A=(2x-14)degree and m angle B= (3x-6) degree, then find measure of angle A
we have: ∠A + ∠B = 90°
<=> (2x-14) + (3x-6) = 90° <=> 2x - 14 + 3x - 6 = 90°
<=> 5x + 20 = 90°
<=> 5x = 70°
<=> x = 14°
So: ∠A = 2x - 14 = 2.14 - 14 = 14°
Ok done. Thank to me :>
Mr. Rossi works 20 days a month. How far does he drive in a month?
Answer:
No solution
Step-by-step explanation:
How should I kow how much he drove? I need at least one distance. Either your fooling me, or the person who gave you this question is. There is no solution.
Can someone please help me with this question
A. Angle 3 is a vertical angle to angle 2 which means they are the same.
Angle 3 = 76 degrees
B. Angle 6 is also the same as angle 2.
Angle 6 = 76 degrees
C. Angle 8 + angle 6 form a straight line which equals 180 degrees
Angle 8 = 180 - 76 = 104 degrees
Answer:
76° , 76° , 104°
Step-by-step explanation:
(a)
∠ 2 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 3 = 76°
(b)
∠ 6 and ∠ 3 are alternate angles and are congruent , then
∠ 6 = 76°
(c)
∠ 6 and ∠ 8 are adjacent angles on a straight line and sum to 180° , then
∠ 8 = 180° - 76° = 104°
2.48 rounded to the nearest hundredth pl
Answer:
2.50
Step-by-step explanation:
2.50 might be the answer