The sum of three numbers is 41
The second number is 5 times the first
The third number is 14 less than the second
What is the third number?
Answer:
11
Step-by-step explanation:
let the first number be n , then the second number is 5n and
the third number is 5n - 14
Sum the numbers and equate to 41
n + 5n + 5n - 14 = 41
11n - 14 = 41 ( add 14 to both sides )
11n = 55 ( divide both sides by 11 )
n = 5
Thus
first number = 5
second number = 5n = 5 × 5 = 25
third number = 5n - 14 = 5(5) - 14 = 25 - 14 = 11
solve.
-7 2/3 + (-5 1/2) + 8 3/4
Answer:
-53/12
Step-by-step explanation
If you break it down it looks like this:
-23/3 + (-11/2) + 35/4
multiply them so that all their denominators are a similiar multiple (which is 12)
-92/12 - 66/12 + 105/12 = -53/12
Which graph is a function on top
Which graph is not a function on bottom
Answer:
3) 3
4) 3
Step-by-step explanation:
A function is a line where the x value never repeats
If p = q^r, q=r^p and r=p^q, prove that prq=1.
Rewrite each given equation as
[tex]p=q^r\implies \log_p(p)=\log_p(q^r)\implies 1=r\log_p(q)\implies r=\dfrac1{\log_p(q)}=\dfrac{\ln(q)}{\ln(p)}[/tex]
[tex]q=r^p\implies \log_q(q)=\log_q(r^p)\implies 1=p\log_q(r)\implies p=\dfrac1{\log_q(r)}=\dfrac{\ln(r)}{\ln(q)}[/tex]
[tex]r=p^q\implies \log_r(r)=\log_r(p^q)\implies 1=q\log_r(p)\implies q=\dfrac1{\log_r(p)}=\dfrac{\ln(p)}{\ln(r)}[/tex]
where each of the last equalities follows from the change-of-base identity,
[tex]\log_m(n)=\dfrac{\log_b(n)}{\log_b(m)}[/tex]
for any base b > 0 and b ≠ 1. I picked the natural base, e.
Then
[tex]prq=\dfrac{\ln(r)}{\ln(q)}\times\dfrac{\ln(q)}{\ln(p)}\times\dfrac{\ln(p)}{\ln(r)}=1[/tex]
as required.
can someone please help me find x.
Answer:
We have similar triangles Hence 6x+2=x+35x=1 x=1/5Damian invests $250 in a savings account with a 4% simple interest rate. Which expressions can be used to find the total amount of interest Damian will earn after 1 year?
Answer:
$260
Step-by-step explanation:
GIven
P=$250
R=4%
T=1 year
The total amount of simple interest is
A=P(1+rt)
substitute
A=250(1+0.04*1)
A=250(1.04)
A=250*1.04
A=$260
Hence the total amount is $260
Answer:
260
Step-by-step explanation:
what is 39% as a fraction in its lowest form
39% as a fraction in its lowest form is 39/100.
To express 39% as a fraction in its lowest form, we need to divide the percentage by 100 and simplify the resulting fraction.
The percentage symbol "%" means "per hundred," so 39% can be written as 39/100.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).
Here, the GCD of 39 and 100 is 1, so we divide both numbers by 1:
= 39 ÷ 1 / 100 ÷ 1
= 39/100
Therefore, 39% as a fraction in its lowest form is 39/100.
Learn more about Fraction here:
https://brainly.com/question/23118426
#SPJ6
What is the rate of change of the volume of the cylinder at that instance (in cubic kilometers per second)?
Answer:
hello your question is incomplete attached below is the complete question
answer : -2400 π
Step-by-step explanation:
dr/dt = -12 km/s
h = 2.5 km
r = 40 km at some instant
hence the rate of change of Volume of cylinder at that instance
= dv / dt = [tex]d(\pi r^h ) / dt[/tex]
= [tex]\pi h\frac{d(r^2)}{dt}[/tex] = [tex]-\pi h *2r *dr/dt[/tex]
hence ; dv / dt = -2400 π
20 - 12 divided by 9
Answer:
.8 repeating
Step-by-step explanation:
Please Help I will really appreciate it
Answer:
58.18
Step-by-step explanation:
640/11
Answer:
c
explanation
640/11=58.18...
the minimum cost for parking p is $7
1. What is the actual length of the truck?
1 cm = 1.7 feet
The gridlines are spaced 1 cm apart.
Answer:
20.4
Step-by-step explanation:
5. When y = 7, which of the expressions below will be less than 150?
Select all that apply. *
A) y2.3 B) 3(2y + 5) + 6(3y – 14) C) 2y2 + 6y + 15 D) 8(y + 5) x 2
ANSWER QUICK PLEASE I WILL GIVE BRAINLIEST
Answer:
10
Step-by-step explanation:
Slope = 3; y-intercept = -5
write an equation in slope-intercept form
Help plz I will give brainliest
Answer:
180 Minutes or 3 Hours
Step-by-step explanation:
25 X 7 is 175
175 rounded by the nearest tenth is 180
180 Minutes.
Three teams, A, B and C, play in a competition.
games won by A: games won by B = 3:1
games won by B: games won by C = 5:1
Team B has won 10 games.
In total, how many games have the three teams won?
Answer:
42 games
Step-by-step explanation:
From the ratio, we can deduce that;
For every 3 games A won, B won 1
Thus, if B won 10, then A has won 3(10) = 30
From the second part;
For every 1 game won by C, B won 5
since B won 10, then C won 10/5 = 2
So the total number of games won is;
A + B + C
= 2 + 30 + 10 = 42 games
8. Write the equation of the line that is perpendicular to the line y= -1/5X +
9 and passes through the point (-2,-2). *
Answer:
[tex]y+2=5(x+2)[/tex]
Step-by-step explanation:
Slope is negative reciprocal when lines are perpendicular to each other
therefore m=5
Equation of line in point slope form is given as
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y+2=5(x+2)[/tex]
Olivia's cell phone bill last month was $125. This month her bill is $85. What is the percent of change in Olivia's bill?
Answer:
32%
Step-by-step explanation:
Olivia's cell phone bill last month was $125. This month her bill is $85. What is the percent of change in Olivia's bill?
The formula for Percent change =
Amount of change/Original amount × 100
Amount of change = Original amount = New amount
Original Amount/bill = $125
New amount/bill = $85
= $125 - $85
= $40
Percent change = $40/$125 × 100
Percent change = 0.32 × 100
Percent change = 32%
Therefore, the percent of change in Olivia's bill is 32%
Copy the proof on paper, mark the givens in the diagram, and fill in the blanks to complete the proof.
Answer:
Step-by-step explanation:
Too hard for me to answer, sorry
im really sorry this is so late oof
Simplify: (4x2y3)2 8x4y5 8x4y6 16x4y5 16x4y6
Answer:
(4x²y³)² 8 x⁴y⁵ 8 x⁴ y⁶ 16 x⁴ y ⁵ 16 x⁴ y⁶ = 262,144 x²⁰ y²⁸
Step-by-step explanation:
Given
(4x²y³)² 8 x⁴y⁵ 8 x⁴ y⁶ 16 x⁴ y ⁵ 16 x⁴ y⁶
we know that
[tex]a^{m} X a^{n} = a^{m+n}[/tex]
[tex](a^{m} )^{n} = a^{mn}[/tex]
= (16x⁴y⁶ 8 x⁴y⁵ 8 x⁴ y⁶ 16 x⁴ y ⁵ 16 x⁴ y⁶
= 16 ×8×8×16×16 x⁴⁺⁴⁺⁴⁺⁴⁺⁴ y⁵⁺⁶⁺⁵⁺⁶⁺⁶
= 262,144 x²⁰ y²⁸
can someone answer these, please? I need them soon
2. Which of the following is the solution of the system of equations shown? A. (−3, −4) B. (–3, 4) C. (3, 4) D. (3, –4). Please show an explanation
please answer correctly
Answer:
for the question all the way on the bottom, for the pizza everyone paid 2.59$ each
Answer:
1. (389.205)
2. (3)
3. (35)
4. (-13)
5. (1296)
6. (25)
7. (4.305)
8. (120)
9. (529)
10. ($2.59)
Step-by-step explanation: For 1 I just used a calculator, for 2 it is just going to be 12-9 which is 3, for 3 it is 5/2 x 7/3, make the denominators the same getting 15/6 x 14/6 and getting 210, now divide by 6 getting 35, for 4, it is -3-10 which is -13, for 5 do 6x6x6x6 which equals 1296, for 6 do 48-23 = 25, for 7 just divide, I used a calculator, for 8, multiply 20 by 12 and get 240, now divide by 2 which is 120. for 9 do 23x23 which is 529, for 10, divide 12.59 by 5 and get an answer of 2.59. HOPE THIS HELPED!
pls help I'm crying rn
Answer:
I hate these so much, so I understand your pain :(
Step-by-step explanation:
1. <8
2. <4
3. <2
4. <3
I truly hope this helps, have a great day/night!
they might not all be correct but I think they are :)
Evaluate the expression.
log,7(1/49)
Answer:
0.01724
Step-by-step explanation:
calculator
Answer:
-2
Step-by-step explanation:
[tex] \frac{1}{49} = {7}^{ - 2} [/tex]
[tex] = log_{7}( {7}^{- 2} ) [/tex]
[tex] log_{a}( {a}^{x} ) = x[/tex]
[tex] = - 2[/tex]
Explain the difference between
(-1) and
-14
Answer:
13
Step-by-step explanation:
-1--14
-1+14
13
I'll give brainliest!!!! help!
A ball is thrown in the air from a platform that is 64 feet above ground level with an initial vertical velocity of 32 feet per second. The height of the ball, in feet, can be represented by the function shown where t is the time, in seconds, since the ball was thrown.
h(t) = -16t2 + 32t + 64
Which of the following equations shows the function rewritten in the form that would be best used to identify the maximum height of the ball?
A.
h(t) = -16(t – 1)2 + 80
B.
h(t) = -16(t – 2)2 + 128
C.
h(t) = -16(t – 2)2 + 112
D.
h(t) = -16(t – 1)2 + 96
Answer:
I'll write something just to help that person be the brainliest
Step-by-step explanation:
HURRRY DUE IN 1 HR HEEELLLLPPP
Answer:
63m - 42
Step-by-step explanation:
Answer these questions please
Answer:
UwU
Step-by-step explanation:
SOLO QUIERO PUNTOS
