Answer: The numbers are:
965
875
785
695
Step-by-step explanation:
We have a 3 digit number that can be written as:
a*100 + b*10 + c
Where a, b, and c are single-digit numbers.
a is the hundreds
b is the tens
c is the unit.
We know that:
"The sum of the tens digit and the hundreds digit of a number is three times the units digit."
a + b = 3*c
" 1/5 of the sum of all three digits is 1 less than the units digit."
(a + b + c)/5 = c - 1
Then we have the two conditions:
a + b = 3*c
(a + b + c)/5 = c - 1
From the first one, we can write:
(a + b)/3 = c
Replacing that in the other equation we get:
(a + b + a/3 + b/3)/5 = a/3 + b/3 - 1
(4/3)*(a + b)/5 = (a/3 + b/3) - 1
(4/15)*(a + b) = (a + b)/3 - 1
(4/15)*(a + b) - (a + b)/3 = - 1
-(1/15)*(a + b) = -1
a = 15 - b
Then we can give different values for b, and find the values of a and c, where a and c must be positive.
b = 9
a = 15 - 9 = 6
Then:
c = (9 + 6)/3 = 5
(notice that a + b = 15, then c will be always equal to 5, reggardless of the values of b and a).
This number will be:
695.
if b = 8, then:
a = 15 - 8 = 7
and c = 5, same as before.
the number is 785.
If b = 7, then:
a = 15 - 7 = 8
The number is 875
if b = 6, then:
a = 15 - 6 = 9
The number is:
965
The decay of 277 mg of an isotope is described by the function A(t)= 277e^0.019t , where t is time in years. Find the amount left after 64 years. Round your answer to the nearest mg. Show all of your work for full credit.
The decay of 277 mg of an isotope is described by the function
A(t)= 277e-0.019t,
where t is time in years.
To find the amount left after 64 years,
We substitute t = 64 in the expression.
A(t=64)= 277e-0.019(64)
or A(t=64) = 277 * e-1.216
= 277 * 0.29
= 82 mg
Pls help I just need the answer
What is the value of the following expression: 3.25 x 4
Answer:
13
Step-by-step explanation:
Demi has 221 songs on her phone. The songs take up 884 megabytes of storage. Each song takes up the same amount of space. How many megabytes do 135 of these songs take up?
WHO WANTS BRAINLIST??
Answer:
Me please
Step-by-step explanation:
I like ice cream :D
Answer:
I do!!! Please may I get it? If someone else asked and you chose them that's fine!
Step-by-step explanation:
(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.
- •Trix•
( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
please help solve this.
Evaluate
--5a + 2b – 6c when a = -6, b=1, and c= -2.5
ummmmmmmmmmmmmmmmmmmmm so you can just say what box if you dont want to explain i just think its all 3 if them one i figured out was wrong but the others i cant tell and i also suck at math
Answer:
Table (4)
Step-by-step explanation:
If data in the given tables show the proportional relation then they will follow the rule,
y = kx
k = [tex]\frac{y}{x}[/tex]
where 'k' = proportionality constant
From table (1),
k = [tex]\frac{2}{1}[/tex] = 2
k = [tex]\frac{3}{2}=1.5[/tex]
But 2 ≠ 1.5
So the data in the table (1) is not proportional.
Table (2)
k = [tex]\frac{0}{2}=0[/tex]
k = [tex]\frac{2}{4}=0.5[/tex]
Therefore, data in the table is not proportional.
Table (3)
k = [tex]\frac{1}{0}[/tex] = Not defined
k = [tex]\frac{3}{2}=1.5[/tex]
Data is not proportional.
Table (4)
k = [tex]\frac{y}{x}=\frac{-6}{-2}[/tex]
= 3
k = [tex]\frac{3}{1}=3[/tex]
3 = 3
Therefore, data given in table (4) represents the proportional relationship.
11. In a swimming race, Yvonne swam 0.18 mile.
David swam 4 times as far as Yvonne. How far
did David swim?
(A) 2.2 miles
B
0.22 mile
C.7.2 miles
D
0.72 mile
Answer: D= 0.72
Step-by-step explanation: Because 0.18 times 4 is 0.72 miles.
Answer:
D. 0.72 miles
Step-by-step explanation:
Since David swam 4 times as far is Yvonne, he swam 4 times more than 0.18. 0.18 times 4 is 0.72. If you want/need to do it in your head, just imagine 0.18 as 18, and that multiplied by 4 is 72. then move the decimal point back over before the 7, to get your answer.
Two of the other choices are clearly wrong because the actual answer is way less than the other choices (except for B). One way to quickly figure out which two (or sometimes three) are wrong is by rounding 0.18 up to 0.2. You can try this quickly because 0.2 is barely bigger than 0.18, and 0.2 is easy to multiply by 4. The answer you would get from multiplying 0.2 is not exactly correct, but gives you a general idea.
Luther starts jogging 8minutes on the first day and then increases his time by 4 minutes each day. How many minutes will he jog the fifth day?
Answer:
80?
Step-by-step explanation:
Answer:
(8+4)x5
Step-by-step explanation:
2 quarters and 2 dimes is what percent of 1 dollar?
Answer: 70%
Step-by-step explanation:
2 quarters and 2 dimes is 70 cents. 100 cents total in a dollar so no need for further calculation. 70%
p(0)
17. If p (m) = 4m3 + 3, the value of
p(1)-P(-1)
divides it int
Answer:
[tex]p(1) - p(-1) =8[/tex]
Step-by-step explanation:
Given
[tex]p(m) = 4m^3 + 3[/tex]
Required
[tex]p(1) - p(-1)[/tex]
First, we calculate p(1)
Substitute 1 for m in [tex]p(m) = 4m^3 + 3[/tex]
[tex]p(1) = 4(1)^3 + 3[/tex]
[tex]p(1) = 4*1 + 3[/tex]
[tex]p(1) = 4 + 3[/tex]
[tex]p(1) = 7[/tex]
Next, we calculate p(-1)
Substitute -1 for m in [tex]p(m) = 4m^3 + 3[/tex]
[tex]p(-1) = 4(-1)^3 + 3[/tex]
[tex]p(-1) = 4*-1 + 3[/tex]
[tex]p(-1) = -4 + 3[/tex]
[tex]p(-1) = -1[/tex]
[tex]p(1) - p(-1)[/tex] is then calculated as:
[tex]p(1) - p(-1) = 7 - (-1)[/tex]
[tex]p(1) - p(-1) = 7+1[/tex]
[tex]p(1) - p(-1) =8[/tex]
Determine the product of 2.54 and 6.3
Answer:
2.54 x 6.3 = 16.00200
Step-by-step explanation:
hope this helped!
Answer:
i think the product (multiplication) of 2.54 and 6.3 is 16.002
Which of the following polynomials is in standard form?
z10-5z-6z2+z3
-4+z15+z5-z3
z5-2z4+z2-4z
z5+z15-z3-4
Answer:
running a two year contract is the best i have to do with my life in this world and it has a great way to go through the
Answer:
The 2nd one
Step-by-step explanation:
URGENT!! Please help
Answer:
The measure of the largest angle is 72º.
Step-by-step explanation:
We will first solve for x. We know that the sum of the interior angles of a triangle is 180º, so 15x + 21x + 24x is equal to 180º. This means that 60x = 180º, so x = 3º. The largest angle is 24x, which is 72º.
Can someone pls help me find the second derivative of this. I need to find the concave up and down intervals but I’m having trouble getting the second derivative
Starting from
[tex]f(x)=\dfrac14(x+1)^{\frac83}-4(x+1)^{\frac23}[/tex]
take the first derivative using the power and chain rules:
[tex]f'(x)=\dfrac83\cdot\dfrac14(x+1)^{\frac83-1}-\dfrac23\cdot4(x+1)^{\frac23-1}[/tex]
[tex]f'(x)=\dfrac23(x+1)^{\frac53}-\dfrac83(x+1)^{-\frac13}[/tex]
Now take the second derivative:
[tex]f''(x)=\dfrac53\cdot\dfrac23(x+1)^{\frac53-1}-\left(-\dfrac13\right)\cdot\dfrac83(x+1)^{-\frac13-1}[/tex]
[tex]f''(x)=\boxed{\dfrac{10}9(x+1)^{\frac23}+\dfrac89(x+1)^{-\frac43}}[/tex]
Optionally, you can condense the second derivative a bit by factoring out [tex]\frac89(x+1)^{-\frac43}[/tex], which gives
[tex]f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80(x+1)^{\frac63}+1\right)[/tex]
[tex]f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80(x+1)^2+1\right)[/tex]
[tex]f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80x^2+160x+81\right)[/tex]
picture file listed below
Answer:
b, d, e
Step-by-step explanation:
PLS HELP I ONLY HAVE HR
Question 4 (4 points)
(04.02)
The graph shows the amount of money paid when purchasing bags of candy at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.
What is the cost of one bag of candy? (4 points)
a
$2
b
$4
c
$0
d
$6
Answer:
a $2
Step-by-step explanation:
One of the ordered pairs were (1, 2) which meant that at 1 bag of candy, the total cost in dollars is 2 based on the labelling of the x- and y-axis. Thus, the cost of one bag of candy is $2.
is the square root of 10 greater less than or equal to 5
Answer: it is less then 5
Step-by-step explanation:
Because 10 lies between two consecutive perfect squares (in increasing order) 10 is located between the square roots of these two numbers. This means that 10 is located between 10 is less than 5.
Answer:
less than
Step-by-step explanation:
finding the square root of 10 is a bit complicated because the number 10 is not a perfect square which has a number 0 at it's unit Place. Finding the square root of a number is the reverse process of squaring the number. we can find the square root of 10 using two methods one method is to find the root value using unit places and another method is with the help of long division method.
Plzz help. Giving everything.
D. 24.5
Answer:
[tex]\frac{8}{14} = \frac{14}{x+2}[/tex] (since they're similar, set them up as a proportion to find x)
14*14 = 8(x+2) (cross multiply, solve the left side, and distribute the right side)
196 = 8x +16 (subtract 16 from both sides)
180 = 8x (divide both sides by 8)
x= 22.5 (is your answer, or C)
Step-by-step explanation:
Offering Brainliest , a 5 star review, and a like on your answers if you can successfully answer these last 2 simple coordinate questions and show some work.
Answer: pretty sure it's -1,1
M ( 3 , 1 )
Step-by-step explanation:
Answer:
J ( -1 , 1 )
M ( 3 , 1 )
Explanation:
When moving coordinates left = subtract from previous X position
When moving coordinates right = add from previous X position
When moving coordinates up = add from previous Y position
When moving coordinates down = subtract from previous Y position
Find the slope between (-1, 7) and (-3, 1).
Answer:
[tex]m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, 7)
Point (-3, 1)
Step 2: Solve for x
Substitute [SF]: [tex]m=\frac{1-7}{-3+1}[/tex]Subtract/Add: [tex]m=\frac{-6}{-2}[/tex]Divide: [tex]m=3[/tex]Find the slope of the line that passes through the pair of points.
4. (1,6), (6,-1
7
b.
7
C
7
Answer:
-7/5
Step-by-step explanation:
What is the average time in seconds between 2.15 2.05 2.02
Answer:
[tex]Average = 2.073[/tex]
Step-by-step explanation:
Given:
Time: 2.15, 2.05, 2.02
Required
Determine the average
Average is calculated as thus:
[tex]Average = \frac{\sum x}{n}[/tex]
In this case:
[tex]\sum x = 2.15+2.05+2.02[/tex]
and
[tex]n = 3[/tex]
[tex]Average = \frac{\sum x}{n}[/tex] becomes
[tex]Average = \frac{2.15+2.05+2.02}{3}[/tex]
[tex]Average = \frac{6.22}{3}[/tex]
[tex]Average = 2.073[/tex]
Answer:
2.07
Step-by-step explanation:
I took the Lab and got it right
the answer for the next two questions are
The average time to the first quarter checkpoint is
2.07
seconds.
The average time to the second quarter checkpoint is
3.16
seconds.
The average time to the third quarter checkpoint is
4.11
seconds.
The average time to the finish line is
4.92
seconds.
Have a good day and good luck with the rest of your school :D
What is the value of the expression when a = 5, b = 4 , and c = 6?
4a/2b−c
2
5
9
10
Answer:
10...............................
if the temperature drops 7f to -17f how much did the temperature decrease
Answer:
The answer is that it decreased 24f.
Convert the measurements below:
a. 8 millimeters = ____meters
Answer:
0.008 meters
Step-by-step explanation:
Answer:
0.008 meters
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
Which translation moves point Z so that the whole image is only in quadrant 1 and 2
Captionless Image
Answer:
I can’t see the picture!
Step-by-step explanation:
Solve the equation below and record solution.
Example Solution: x = ______
35 = 1.5x - 10
Answer:
x=30
Step-by-step explanation:
Let's solve your equation step-by-step.
35=1.5x−10
Step 1: Flip the equation.
1.5x−10=35
Step 2: Add 10 to both sides.
1.5x−10+10=35+10
1.5x=45
Step 3: Divide both sides by 1.5.
1.5x÷1.5=45÷1.5
x=30
34
James was participating in a school readathon and his parents agreed to donate $ 2
plus an extra dollar for every book read. The dot plot below shows this:
Searned
10
3
20
340
If James reads more books, the next point marked on the plot will be:
5
Answer:
the next point will be 4, 6
Step-by-step explanation:
if you follow the dots in the line that they make, the next on will be 4, 6