The price of an item has risen to $136 today. Yesterday it was $80. Find the percentage increase.
well, the numeric difference will be 136 - 80 = 56, now, if we take 80 (original price) to be the 100%, what is 56 (the increase) in percentage off of it?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80&100\\ 56&x \end{array}\implies \cfrac{80}{56}=\cfrac{100}{x}\implies \cfrac{10}{7}=\cfrac{100}{x} \\\\\\ 10x=700\implies x = \cfrac{700}{10}\implies x = \stackrel{\%}{70}[/tex]
NEED HELP ASAP! WHOEVER EXPLAINS FIRST GETS BRAINLIEST!!
Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve.
-2/5x-9<9/10
Find radiuses of circles, if OO1=20cm and 3AK=2BK
Answer:
radius of smaller circle on the left = 8 centimetersradius of larger circle on the right = 12 centimeters=============================================================
Explanation:
The letter O looks very similar to the number zero, so I'm going to use other letters to avoid confusion. For the smaller circle on the left, it'll have center P. The circle on the right will have center Q. See the diagram below.
Based on that, we can say that PQ = 20 cm.
Let x = length of PK
PK + KQ = PQ
KQ = PQ - PK
KQ = 20 - x
We'll keep this in mind for later. I'll refer to this as "Fact 1" when it does come up later.
------------------------
We're given this equation
3AK=2BK
Let's get the numbers to one side and the letters to the other side like so:
3AK=2BK
3AK/BK = 2
AK/BK = 2/3
We'll use this later as well. I'll refer to this as "Fact 2" when it does come up later.
------------------------
Next, draw a segment from P to A to form triangle PAK (also shown in the diagram below). Do the same for points Q and B to form triangle QBK.
The segments PA and PK are radii of the smaller circle, so PA = PK which leads to triangle PAK being isosceles. Triangle QBK is also isosceles for similar reasoning.
The angles AKP and QKB are vertical angles, so they are congruent.
The facts mentioned so far boil down to the two triangles being similar triangles (use the angle angle method to prove).
------------------------
Now that we know the triangles are similar, we can use a proportion to solve for x.
PK/KQ = AK/KB
PK/KQ = 2/3 .... use fact 2
x/(20-x) = 2/3 .... use fact 1
3x = 2(20-x) .... cross multiply
3x = 40 - 2x
3x+2x = 40
5x = 40
x = 40/5
x = 8
So,
PK = x = 8KQ = 20-x = 20-8 = 12The radius of the smaller circle on the left is 8 cm.
The radius of the larger circle on the right is 12 cm.
Determine the center of the ellipse whose equation is.
Answer:
It is reported as an equation but it has no equal sign.
Care to explain?
Step-by-step explanation:
Answer:
(4, -3) is the center
Step-by-step explanation:
The equation ...
16x^2 +25y^2 -128x +150y +81 = 0
can be rearranged by completing the square(s) to ...
(4x -16)^2 +(5y +15)^2 = 400
Dividing by 400 gives ...
(x -4)^2/5^2 +(y +3)^2/4^2 = 1
This is the equation of an ellipse centered at (4, -3) with major axis 10 and minor axis 8.
Solve for the value of X
Check the picture below.
Which any quality represents the statement the sum of -3 and a number is at least 5
Answer: -3 + n >= 5
Step-by-step explanation: I got it wrong on the test but got the correct answer from test review on K12
what is 3.98.7 * 29.76+
Answer:
- 7% of 3.98...
... is equivalent to multiplying them:
- 7% × 3.98 ≈ - 0.28
(Rounded to a maximum of 2 decimals)
Step-by-step explanation:
One bridge in Maryland is 6,946 meters
long. It is 46 times as long as another
nearby bridge. How long is the shorter
bridge? Explain.
Answer:
151 meters
Step-by-step explanation:
6946/46=151 meters
Answer:
Step-by-step explanation:
If you want to be formal, let the shorter bridge = x
46x = 6946 Divide by 46
x = 6946/46
x = 151
So the shorter bridge is 151 meters long.
Harry bought two-thirds pound of candy. He ate four-fifths of the candy. What was the weight of the candy he ate?
Answer:
8/15
Step-by-step explanation:
not sure but I think you just multiply them
Can someone please help me
Answer: B
Step-by-step explanation: I beilieve it's B but, don't take my word.
Area of rectangle 2x8/9
Answer:
32/9
Step-by-step explanation:
2*(2)(8/9) = 4*8/9 = 32/9
Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save ?
Answer:
50%
Step-by-step explanation:
75/150 = x/100
x = 50
Answer:
50%
explanation
half of 150 is 75(75x2)
An automobile manufacturer produces 79% of its cars at plant A. If 5% of the cars manufactured at plant A have defective emissions control devices, what is the probability that one of this manufacturer's cars was manufactured at plant A and has a defective emissions control device?
Answer:
79
over
2000 or 79/2000 or 3.95%
Step-by-step explanation:
The probability that one of this manufacturer's cars was manufactured at plant A and has a defective emissions control device is 6.33%.
What is conditional probability?Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Given, An automobile manufacturer produces 79% of its cars at plant A and 5% of the cars manufactured at plant A have defective emissions control devices.
∴ The probability that one of this manufacturer's cars was manufactured at plant A and has a defective emissions control device is,
= (5/79)×100%.
= 6.33%.
learn more about conditional probability here :
https://brainly.com/question/10567654
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as an estimation we are told 5 miles is 8km convert 60km to miles
Answer:
60km is 37 Miles
it is a decimal- 37.2 Miles
Step-by-step explanation:
divide 60 by 1.609
Answer: using this we can say that 60km is 37.5 miles
Step-by-step explanation:
first you divide 60 and 8 which gives us 7.5
using this we multiply 7.5*5=37.5
Pls help me find the value of x
Answer:
x = 3
Step-by-step explanation:
2x+6=x+9 subtract x in both sides
x +6 =9 subtract 6 in both sides
x = 3
Can someone help me please!? Can you show the work as well! :)
Jackie runs and dances for 75 minutes every day.
She dances 25 minutes more than she runs.
What is the greatest amount of time she could spend dancing every day,
given she will take a run.
Answer:
I think it is 50 because 75-25=50
Find the measure of the angle marked and indicated in bold.
Answer:
105° your answerStep-by-step explanation:
parrallel line = gongruent angles
16x - 7 = 15x
16x - 15x = 7
x = 7
------------------------
7 * 15 = 105° your answer
--------------------------------
16 * 7 - 7 = 15 * 7
105 = 105
the answer is good
6(2x + 4) = 3(4x + 8)
Please answer this!
Answer:
Infinitely many solutions
Step-by-step explanation:
6(2x + 4) = 3(4x + 8)
Distribute the 6
6 * 2x = 12x and 6 * 4 = 24
12x + 24 = 3(4x+8)
Distribute the 3
3 * 4x = 12x and 3 * 4 = 24
12x + 24 = 12x + 24
On both sides of the equal sign we have 12x + 24.
When both sides are equal there are infinitely many solutions.
Which is the equivalent of 0.00000000989 in proper scientific notation?
Answer:
9.89×10^-9
Step-by-step explanation:
0.000 000 009 89 = 9.89×10^-9
__
We have introduced spaces in the number to make the digits easier to count. (Some technical publications will write the number with thin spaces for just that reason.) The most-significant digit is in the 9th place to the right of the decimal point, so has a place value of 10^-9.
What expression is equivalent to 23x?
A.) 5(3x) + 8x
B.) 2x + 6x + 12x
C.) 4(4x + 2x)
D.) x + x + x + 19x
Answer:
multiply 5 times 3 that is equal to 15.
15 plus 8 is equal to 23 and add the x.
HELP ME ASAP!!!
Question 3(Multiple Choice Worth 5 points)
(04.04 MC)
If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?
5 hours
15 hours
18 hours
45 hours
It would take 5 hours.
1/15 of the lawn in 1/3 hours means it takes 1 hour to water 3/15 of the lawn aka 1/5
1/5 of the lawn in 1 hour would mean it takes 5 hours to finish watering the entire lawn.
what is the value of x in m(x+n)=n
Answer:
open the brackets
mx+mn=n
mx=n-mn
since we want to know the value of x , then we divide both sides with m ,thus giving us
x=n/m - n
Answer:
x = [tex]\frac{n-mn}{m}[/tex]
Step-by-step explanation:
m(x + n) = n ← distribute parenthesis on left side by m
mx + mn = n ( subtract mn from both sides )
mx = n - mn ( isolate x by dividing both sides by m )
x = [tex]\frac{n-mn}{m}[/tex]
(-3,5) (3,7)
What is the slope of AB ?
Help help help help math
Answer:
158
Step-by-step explanation:
We know the supplement of angle 6 is 22, due to the fact that they are corresponding angles. Simply subtract 22 from 180 to get the answer. 180-22=158
Answer:
158 degrees
Step-by-step explanation:
Angle 6 has a same side interior relationship with the 22 degrees, so the sum of these angles are equal to 180 degrees.
To find the missing angle, subtract 180 by 22 degrees.
180-22= 158
Please Help I am giving many points!
Answer:
D
Step-by-step explanation:
n = 5
an = 176
an = a1*x^(n -1)
a5 = a1 * x^4 = 176
a7 = a1 * x^6 = 704
a7/a6 = a1 * x^6 / a1*x^4 = 704 / 176
Cancel out a1
x^6/x^4 = 704/176 Divide numerator and denominator by 176
x^2 = 4 Take the square root of both sides
x = 2 or - 2
176 = a1 * x^4
176 = a1 * 16
a1 = 11
a1 is going to be 11 whether x is 2 or minus 2.
hi mallllll. hehehe
once again its [tex]a_{1} = -11[/tex]
John is selling sets of knives and makes a 10% commission on all sales. What would his commission be on the sale of a $3250 set of knives?
Matt has 5 cookies Addie eats 3. How old is Addie?
Answer:
old enough to eat a cookie
1.) Write .378 as a fraction in simplest form
Together, Mike and Bill have $50 more than Joe has. Mike has $26 more than Bill. The three boys have a total $506. How much money does each boy have.
i wish i had that much money
Answer:
Step-by-step explanation:
1. 84
2. 96
Answer: Divisible by 2, 3, 6
3. 896
4. 942
Answer: Divisible by 2, 3, 6
5. 22,335
6. 39,075
Answer: Divisible by 3, 5
Find Prime Factorizations and Least Common Multiples In the following exercises, find the
prime factorization.
7. 86
8. 78
Answer: 2 3 13 ⋅ ⋅
9. 455
10. 400
Answer: 222255 ⋅⋅⋅⋅⋅
11. 432
12. 627
Answer: 3 11 19 ⋅ ⋅
In the following exercises, find the least common multiple of each pair of numbers using the
prime factors method.
13. 8, 12
hope that help mark me brinliylist