A value is decreased by 85% for a new value of 17.1. Find the original value.
Answers
Answer:
114
Step-by-step explanation:
let 'n' = original value
(17.1 - n) / n = -85/100
cross-multiply:
1710 - 100n = -85n
1710 = 15n
n = 1710/15
n = 114
Related Questions
A ladder needs to reach a second-story window that is 15 feet above the ground and make an angle with the ground of 71°. How far out from the building does the base of the ladder need to be positioned? Round your answer to the nearest tenth.
The base of the ladder needs to be ______ feet away from the wall.
Answers
Answer:
5.2 feet
Step-by-step explanation:
It helps if you can make a drawing.
You are looking for the adjacent side of the 71° angle in a right triangle and 15 is the opposite side of the angle.
Let x = the distance from the building to the base of the ladder
Tan 71 = 15/x
xtan71 = 15
x = 15/tan 71 = 5.2 feet
Evaluate ab - 0.5.b when a= 1 and b = 5
Answers
Answer:
2.5
Step-by-step explanation:
a=1 and b=5 so it would be 1 times 5 minus 0.5 time 5. to get this you must used PEMDAS and multiplication goes before subtraction. 1 times 5 is 5 and 0.5 times 5 is 2.5 so now you can subtract one from another which would give you your answer.
select the values of x that make the inequality true
x > -3
Answers
Answer:
-1 and 0 are both larger than -3
A machine fills 75 bottles of water each minute. Write an equation to represent the number of bottles b of water the machine can fill in m minutes.
Answers
Answer:
b = 75m
Step-by-step explanation:
Harry catches the train from Belfast to Dublin at 4pm.
The average speed of the train is 70mph and the distance from Belfast to Dublin is 105 miles.
What time does Harry arrive in Dublin?
Answers
Answer:
5:30 pm
Step-by-step explanation:
105/70 = 1.5
HELP ME 7th grade math
Find the surface Area
Answers
Answer:
30.24
Step-by-step explanation:
I times the base by the height then divided by 2
So it’s 97 B.
A local hamburger shop sold a combined total of 568 hamburgers and cheeseburgers on Sunday. There were 68 more cheeseburgers sold then hamburgers. How many hamburgers were sold Sunday.
Answers
Answer:
250 hamburgers were sold on Sunday
Simplify the expression.
-4i(2+3i)
Answers
Answer:
-8i + 12
Step-by-step explanation:
-4i(2 + 3i) = -8i - [tex]12i^{2}[/tex] = -8i - 12 * (-1) = -8i + 12
Answer:
12−8i
Step-by-step explanation:
-(-4 *3+4*2i)
-4*3=12
4*2=8
=12-8i
Calculate the gradient of the line using rise/run method.
Answers
Given:
The graph of line.
To find:
The gradient of the line using rise/run method.
Solution:
We know that the gradient of a line is also known as slope.
[tex]Slope=\dfrac{Rise}{Run}[/tex]
Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.
[tex]Rise=-3[/tex]
[tex]Run=2[/tex]
Now,
[tex]Slope=\dfrac{Rise}{Run}[/tex]
[tex]Slope=\dfrac{-3}{2}[/tex]
The gradient of the line is [tex]-\dfrac{3}{2}[/tex].
Therefore, the correct option is C.
adding and subtracting polynomials
Answers
Answer:
[tex]3x^{2} + 3x +12[/tex]
Hope that helps!
Step-by-step explanation:
Please help need done ASAP
Answers
HELP ME SOLVE HURRY I WILL MARK BRAINLIEST THANKS
Answers
Answer:
your y intercept is 90 and the equation would be y= 90 and x is unknown
Find Four Numbers that form a geometric progression such that the second term is less than the first by 35, and the third term is greater than the fourth term by 560. (Note: there should be 3 different possible geometric sequences)
Answers
Answer:
-35/3, -140/3, - 560/3, -2240/37, -28, 112, - 448Step-by-step explanation:
The terms are:
a₁, a₂, a₃, a₄Given:
a₁ = a₂ + 35a₃ = a₄ + 560Use the nth term formula:
a₂ = a₁ra₃ = a₁r²a₄ = a₁r³Substitute:
a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560Divide the second equation by the first:
r² = 560/35r² = 16r = √16r = ± 4Use the first equation to find the first term:
a₁( 1 ± 4) = 351. a₁ = 35/-3 = -35/32. a₁ = 35/5 = 7We have two sequences:
r = 4
-35/3, -140/3, - 560/3, -2240/3r = -4
7, -28, 112, - 448A system of linear equations is shown x-4y=1, 3x+2y=-11 what is the solution to the system of equations
Answers
Answer:
x= -3 , y= - 1
Step-by-step explanation:
hope I was able to help:)
Can someone help?
Need to find x, and measure of angle DEF
Answers
Answer:
x = 5
[tex] m\angle DEF = 90\degree [/tex]
Step-by-step explanation:
GE is the angle bisector of quadrilateral DEFG,
Thus, by angle bisector property:
9x°= (5x + 20)°
9x = 5x + 20
9x - 5x = 20
4x = 20
x = 20/4
x = 5
[tex] m\angle DEF = 9x\degree + (5x+20)\degree [/tex]
[tex] m\angle DEF = (14x+20)\degree [/tex]
[tex] m\angle DEF = (14\times 5+20)\degree [/tex]
[tex] m\angle DEF = (70+20)\degree [/tex]
[tex] m\angle DEF = 90\degree [/tex]
I need some help with this please
Answers
3+x=5x-24 Add 24 on both sides
27+x=5x Subtract 1x on both sides
27=4x Divide 4 on both sides
6.75=x You Can double check by plugging in x
I NEED HELPPP ASAPPPPP
What are the domain and range of g ( x ) =
-1/4( x - 17)2 + 61?
Answers
Answer:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),{x|x∈R}
Range: (−∞,∞),{y|y∈R}
Step-by-step explanation:
Step-by-step explanation:
step 1. I assume g(x) = -(1/4)(x - 17)^2 + 61
step 2. domain is all the possible x's. all x's are permissible
step 3. domain: "all x" written as ( inf, -inf )
step 4. range is all the possible y values. g(x) is a quadratic pointing downward. the vertex (17,61) is the highest included y value
step 5. range: [61, -inf).
enter an equation that represents the function defined by this table of values
Answers
Answer: -3x + 1
Step-by-step explanation:
Looking at the y table, when we subtract 1 from them, they become multiples of -3
So we multiply x by -3 then add 1
What is the greatest cThe work that Yi did to find the greatest common factor of 42 and 63 is shown below.
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 63: 1, 7, 9, 63
The greatest common factor is 7.
What is Yi’s error?
ommon factor of 20 and 36?
Answers
This would make the greatest common factor 21.
I need help quick I give brainliest
Answers
Answer:
96 square units
Step-by-step explanation:
I think it’s 96 square meters
I need a A in math can you help me with this answer
Answers
5^2 and 12 ^2
5 times 5 is 25
12 times 12 is 24
24+ 25 is 53
So the hypotenuse 13 hope that helped
Gavin can type 3600 words in 60 minutes.
Dan can type 3850 in 70 minutes.
Colin can type 3500 words in 70 minutes.
Who types at the fastest rate of words per minute?
Answers
Answer:
Dan
Step-by-step explanation:
Answer:
Gavin
Step-by-step explanation:
3600/60=60 word/s
3850/70= 55 words/s
3500/70= 50 words/s
60>55>50
PLS HELP WILL MARK BRAINLIST
Answers
Answer:
T=39.46
Step-by-step explanation:
13(t+13)=676
multiply 13 by t and by 13
then you will have 13t + 169=676
isolate the variable
13t + 169= 676
substract 169 from both sides
13=507 divided both side by 13
T=39
........
some people might need to hear this. lot of us are struggling in school rn, but I am proud of any progress you have made.
have a great day!:)
Answers
Answer:
hi thx................
1
How many cubes with side lengths of
em does it take to fill the prism?
cm
2
alon
cm
1 cm
cubes
Answers
Complete the following triplets.
Answers
Answer:
3,4,5,6,7,8,9,10,11
5,6,7,8,9,10,11,12,13
16,17,18,19,20,21,22,23,24,25
8,9,10,11,12,13,14,15,16,17
Step-by-step explanation:
pls help will mark brainliest Which factor has the most significant impact on the economy of North Korea?
Group of answer choices
its natural resources
its location
its people
its government
Answers
Answer:
Goverment?
Step-by-step explanation:
What type of pattern do linear functions have
Answers
Answer:
"adds by the same unbmer every time" is prob ur best bet
Step-by-step explanation:
Answer:
add by the same number everytime
Step-by-step explanation:
Order these numbers from least to greatest
-0.5,1.5, 0, -5, 1.25
Ty
Answers
Answer:
-5, -0.5, 0, 1.25, 1.5
Answer:
-5, 0, -0.5, 1.25, 1.5
hope it helps
Multiplying by 0.51 is the same as decreasing by___%
Answers
Answer:
The correct answer is 51%