Answer:
Lower bound = 3.835
Upper bound = 3.844
Step-by-step explanation:
Given,
A number rounded to 2 decimal place = 3.84
In other to obtain the least and greatest number, we are mostly concerned about the third digit after the decimal point.
Knowing that numbers 5 and above are rounded to 1 while numbers below 5 are rounded to Zero.
Hence, the lower bound should have its original hundredth value as (4 - 1) such that it becomes 4 when the thousandth value is rounded to 1.
Lower bound = 3.835
The upper bound should have its thousandth value as one which is rounded to Zero, just a point below 5
Upper bound = 3.844
Question 2
Find three consecutive odd integers whose sum is 99.
Answer:
31, 33, 35
Step-by-step explanation:
Let 2n+1 be the first odd number. What will the next one be? Add two:
Let 2n+3 be the next odd number. Again, what is the next one? Add two:
Let 2n+5 be the third odd number.
The sum of those three numbers must be 99. You don't have to have the parenthesis here, but I think they help clarify where everything comes from.
(2n+1) + (2n+3) + (2n+5) = 99
Add like terms, and solve for n:
6n + 9 = 99
6n = 90
n = 15
The three odd numbers we want are:
2(15)+1 = 31
2(15)+3 = 33
2(15)+5 = 35
Double check: 31+33+35 = 99?
Answer:15+84
35+64
79+20
Step-by-step explanation:
ASAPPPPPP ASWERRRR
I NEED HELPPPP
Answer:
3/12 = 2/8
Step-by-step explanation:
CAN ANYBODY GOOD WITH MATH HELP ME OUT PLEASE.
Answer:
Just put the money divided by the percent in a calculator-
Step-by-step explanation:
:/
What is 2.75 times 8
Answer:
the answer is 22
you can put it on a calculator
The average adult breathes in about 37 L of air every 5 minutes. What is the rate of change of volume of air per minute?
Answer:
7.4 L per minute
Step-by-step explanation:
Volume of air = 37 L
Time = 5 minutes
What is the te of change of volume of air per minute?
Rate of change of volume of air per minute = Volume of air / Time
= 37 L / 5 minutes
= 7.4 L/minutes
That is, the rate of change of volume of air = 7.4 L per minute
Answer:
what he said
Step-by-step explanation:
Solve for x
—22 = 2(x – 10)
X =
Answer:
-1 = x
Step-by-step explanation:
Distribute 2 into x - 10 first to get to this equation which is -22 = 2x - 20. Add 20 on both sides to get -2 on the left side. Divide 2 on both sides to get your x-value which is -1.
HELP ME WITH MATH PLZZ
Answer:
d.exponential because as x increases by 1 y is multiplied by 3
Step-by-step explanation:
hope it help
The ratio of violinists to cellists in the school orchestra must always be 7:3. If the school orchestra has 21 violinists, what is the combined number of cellists and violinists?
Given:
Violinists : Cellists = 7:3.
Number of violinists in the school orchestra = 21
To find:
The combined number of cellists and violinists.
Solution:
Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.
Then, combined number of cellists and violinists is
[tex]\text{Combined number of cellists and violinists}=7x+3x[/tex]
[tex]\text{Combined number of cellists and violinists}=10x[/tex] ...(i)
Number of violinists in the school orchestra = 21
[tex]7x=21[/tex]
Divide both sides by 7.
[tex]x=3[/tex]
Now, the combined number of cellists and violinists is
[tex]\text{Combined number of cellists and violinists}=10(3)[/tex] [Using (i)]
[tex]\text{Combined number of cellists and violinists}=30[/tex]
Therefore, the combined number of cellists and violinists is 30.
Tamora's net pay is $420 per week. Create an equation for Tamora's net pay.
Answer: y = 420x
Step-by-step explanation:
y = Total pay
x = Number of weeks
420 = Number of dollars per week of net pay
Can Someone help me please. My brain can't comprehend anymore. Anyone familiar with this problem.
Angela works 18 hours a week for 12 weeks in the summer at the local swimming pool as a life guard. She earns $13 per hour. Her employer takes 15 percent out of her check for federal income tax withholding and 6.2 percent for Social Security and 1.45 percent for Medicare. She will receive 12 paychecks, one for each week she works.
Calculate Angela’s weekly gross pay
Answer:
$234 per week. (gross).
Step-by-step explanation:
Total earned for the 12 weeks = 18 * 12 * 13 = 2808
Gross pay = 2808 / 12 = $234
What is the distance from Mto N?
Answer:
d
Step-by-step explanation:
the answer is 10 (:
help fast !!!!!!!!!!!
Answer:
tbh I think its the middle one
Step-by-step explanation:
Answer:
2,3,1
Step-by-step explanation:
1 => 25-3=22
2 => 5-6 = -1
3 => 5- -3 = 8
Which expression is equivalent to - 2/3 (6x + 15) ?
A.
4x + 10
B.
4x – 10
C.
-4x - 10
D.
- 4x + 10
Answer:
-4x - 10
Step-by-step explanation:
Given the expression -2/3(6x+ 15)
Open the bracket
-2/3(6x+ 15)
= -2/3 (6x) -2/3(15)
= -2(2x) - 2(5)
= -4x - 10
hence the equivalent expression is -4x - 10
Which number is the additive inverse of -4
-4 1/4
-1/4
1/4
4 1/4
Answer:
4 1/2 maybe
Step-by-step explanation:
Answer ...
Step-by-step explanation: Cheating on your test I see.
Hello! Please help me with this question. I’ll mark brainly! Thank you :)
Answer:
[tex]\Huge\boxed{\$ 12.12}[/tex]
Step-by-step explanation:
In order to find how much credit is left after 92 minutes, we need to
1. Figure out the equation that describes this graph (since we don't know the y-intercept)
2. Find the credit remaining after 92 minutes using the equation formed.
Figuring out the equation of this graph:First things first is to figure out the slope of this graph. Since this is a linear function, the slope will remain constant, and we can note something about slope here.
The slope of a line will be it's change in x divided by its change in y, often referred to with a formula.
[tex]\frac{\Delta y}{\Delta x}[/tex]
Since we know two points on this graph, we can find the changes in the x and y then divide for the slope.
Since minutes used is the x, and credit left is the y, we have two points.
(41, 19.26) and (68, 15.48).
The change in y is -3.78, as [tex]19.26-15.48=3.87[/tex], and we decreased, so -3.78.The change in x is 27 as [tex]68-41=27[/tex], and we increased.The slope will then be [tex]\frac{-3.78}{27}[/tex] which comes out to be -0.14.
Now that we know the slope, that means our equation will look something like [tex]y = -0.14x+b[/tex] - however, we still have b to solve for!
To solve for it, we can substitute one of our points in - let's do (41, 19.26) - to the equation and solve for b.
[tex]19.26 =-0.14 \cdot 41 +b[/tex] [tex]19.26 = -5.74+ b[/tex] [tex]b = 19.26+5.74[/tex] [tex]b = 25[/tex]Now that we know that b = 25, we can plug it into our equation, making the final equation that represents this scenario
[tex]y = -0.14x+25[/tex]
Solving for 92 minutesNow that we know the equation to our graph, we can substitute in 92 minutes as the x value to find our y value (credit left).
[tex]y = -0.14 \cdot 92 + 25[/tex] [tex]y = -12.88+25[/tex] [tex]y =12.12[/tex]Therefore, after 92 minutes, the amount of credit left is $12.12
Hope this helped!
help!!!
i need freinds :3
Answer:
me too
Step-by-step explanation:
Meeee toooooooo!!!,!,!,!,!,,,,!,!!,!!!!
The radius of a circle is 1 centimeter. What is the area of a sector bounded by a 90° arc?
Answer:
[tex]Area = 0.785cm^2[/tex]
Step-by-step explanation:
Given
[tex]r = 1cm[/tex] -- radius
[tex]\theta = 90^{\circ}[/tex]
Required
Determine the area of the sector
This is calculated as:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
Substitute values for r and [tex]\theta[/tex]
[tex]Area = \frac{90}{360} * \pi * (1)^2[/tex]
Simplify 90/360
[tex]Area = \frac{1}{4} * \pi * (1)^2[/tex]
[tex]Area = \frac{1}{4} \pi[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]Area = \frac{1}{4} * 3.14[/tex]
[tex]Area = 0.785cm^2[/tex]
-3x + 4 = 6
Find the solutions
Answer:
Use Mathaway and write the equation
Step-by-step explanation:
Answer:
x = -2.3
Step-by-step explanation:
-3x + 4 = 6
Subtract 4 from both sides.
-3x = 2
Divide both sides by -3
x = -2/3
I CANNOT DO THIS, PLEASE HELP! :D
Answer:
F = [tex]\frac{k}{d^2}[/tex]
Step-by-step explanation:
The equation of proportionality is
F = k × [tex]\frac{1}{d^2}[/tex] = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion
f(g(x))
F=3x-2
G=-x+1
Answer:
f(g(x)) = 3x + 1
Step-by-step explanation:
To find f(g(x)), substitute x = g(x) into f(x), that is
f(x + 1)
= 3(x + 1) - 2
= 3x + 3 - 2
= 3x + 1
help
pls
its
due
tmr
pls
pls
ill give 50 points
Answer:
A
Step-by-step explanation:
might be wrong
Alysha’s average speed when walking home from the market was 5 mph, and it takes her 21 minutes longer than when she drives to the market. If she drives along the same route, at an average speed that is 8 times her average walking speed, how many minutes does it take her to drive home from the market?
9514 1404 393
Answer:
3 minutes
Step-by-step explanation:
Let x represent Alysha's time to drive home from the market.
Speed and time are inversely proportional to each other (for the same distance), so we have ...
(walking speed)(walking time) = (driving speed)(driving time)
5(x +21) = (8·5)(x)
x +21 = 8x . . . . . . . . . divide by 5
21 = 7x . . . . . . . . subtract x
3 = x . . . . . . .divide by 7
It takes Alysha 3 minutes to drive home from the market.
35 : ? = 20 : 24
QUICKLY PLEASE!!
Answer:
35:42=20:24
Hope this helps!
what is -2k + (-4k) + 5
An angle measures 48.4° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
65.8° and 114.2°
Step-by-step explanation:
Suplementary angles sum 180°
then:
a + b = 180° eq 1
a = b - 48.4 eq 2
replacing the value of eq 2 in eq 1:
(b-48.4) + b = 180°
2b - 48.4 = 180°
2b = 180 + 48.4
2b = 228.4
b = 114.2°
from the eq. 1
a = b - 48.4
a = 114.2 - 48.4
a = 65.8°
Check:
114.2° + 65.8° = 180°
Please Answer ASAP!!!!!!!!!!!!!!!!!!!!!!!
if a:b=2:3 b:c=4:5 and c:d=6:7 find a:d
the diameter of a pearl is about 4×10-¹⁴ cm and the diameter of an atom is about 10-¹¹ m. how much larger than an atom is a pearl?
Answer:
The diameter of an atom is 25000 times the diameter of a pearl.
Step-by-step explanation:
Given that,
The diameter of a pearl is [tex]4\times 10^{-14}\ cm[/tex]
The diameter of an atom is [tex]10^{-11}\ m=10^{-9}\ m[/tex]
Taking the ratio,
[tex]\dfrac{\text{diameter of an atom}}{\text{diameter of a pearl}}=\dfrac{10^{-9}\ m}{4\times 10^{-14}\ m}\\\\=25000[/tex]
So, the diameter of an atom is 25000 times the diameter of a pearl.
Notice that two line segments are formed on each transversal between the central parallel line and the outer parallel lines. Measure the lengths of the four line segments.
Answer:4,4
Step-by-step explanation:
When a system of linear equations has a
solution.... what am I actually finding when I
solve for x and y?
Answer:
You are finding the intersection point of the system of linear equations.
Step-by-step explanation:
You can use methods like substitution, elimination, and/or equal values to find the solution for the system of linear equations.