Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50
Answer: Smaller number = 6
Larger number = 20
Step-by-step explanation:
Let the smaller number be x.
Let the larger number be y.
Three times a larger number is 30 more than 5 times a smaller number. This will be:
3 × y = (5 × x) + 30
3y = 5x + 30 ...... i
The sum of the larger number and 5 times the smaller number is 50. This will be:
y + 5x = 50 ...... ii
From equation ii
y + 5x = 50.
y = 50 - 5x ...... iii
Put the value of y = 50 - 5x into equation i
3y = 5x + 30
3(50 - 5x) = 5x + 30
150 - 15x = 5x + 30
150 - 30 = 5x + 15x
120 = 20x
x = 120/20
x = 6
The smaller number is 6
Note that y + 5x = 50
y + 5(6) = 50
y + 30 = 50
y = 50 - 30
y = 20
The bigger number is 20
HELP PLEASE ANSWER THIS THANK YOU
Find the area of each regular polygon. Round to the nearest tenth.
A= _ In2 ?
Answer:
Area of the square = 225.0 in²
Step-by-step explanation:
Given polygon is a regular polygon that means given quadrilateral has all sides equal in measure.
And a quadrilateral with all sides equal is known to be a square.
Therefore, area of a square = (Side)²
= (15)²
= 225
≈ 225.0 in²
PLS I JUST NEED HELP
Answer:
18?
Step-by-step explanation:
15x.2=3 (20% of 15)
15+3=18
So new bar is 18 cm
Not really sure but I think lol
What is the price ofpremium gasoline rounded to the nearestdollar? Rounded to the nearest dime?Rounded to the nearest penny?
Answer:
$4 (nearest dollar) ;
$4.4 (nearest dime) ;
$4.41 (nearest penny
Step-by-step explanation:
The actual price of premium gasoline is $4.409 per gallon.
A penny = $0.01 or 1 cent
A dime = $0.1 or 10 cent
Price of premium gasoline to the nearest dollar :
$4.409 is rounded to the nearest unit = $4
Price of premium gasoline to the nearest penny : = $4.409 is rounded to the nearest hundredth = $4.41
Price of premium gasoline to the nearest dime : = $4.409 is rounded to the nearest tenth = $4.4
Explain how to find the distance between 1.5 and any point, n, on a number line.
Bobinvested$6500intoamutualfund with 3.5% monthly interest rate. What is the balance in the account after one month?
Answer:
$6727.50
Step-by-step explanation:
35/1000*6500
= 35*6.5
=227.50
6500+217.50
6727.50
What is 2(5 to the second power) +3(5) - 12
Answer:
53
Step-by-step explanation:
What does 43/12 is equivalent too?
Hi there!
Fractions can be equivalent to a lot other fractions...
Explanation:
43/12x2 would be 86/24 so that would be equivalent.
Let do another one..
43/12 when doing this, you can decide to divide or not but this is in the simplest form already so we can just multiply 43 and 12 with anything we want so let do... 5.
So 43 multiply by 5 would be..215 and 12x5 would be 60. So another equivalent fractions that’s the same as 43/12 or we can say 86/24 is 215/60.
I also added how I got the equivalent fractions just in case you don’t understand still...
-6, 12 ,-24 ,48 what would be the next term in this sequence (help ASAP please )
simplify the following 7+(_10)
Answer:
7 or -3
Step-by-step explanation:
its -3 only if the number you typed was ( -10 ) because i can't really tell if that dash is supposed to be there or not.
steps for 7 :
7 + (10)
7 + 1 ‧ 0
7 + 0
7
steps for -3 :
7 + ( -10 )
7 - 10
-3
y = 6x
2х + Зу = -20
Answer:
-2/3
Step-by-step explanation:
Help please :>
Convert 108 km/hr into m/s
Answer:
hello :) the answer is 30 m/s
Answer:
30m/s
Step-by-step explanation:
Convert km to m:
108 —> 108000
Convert hr to s
1 —> 3600
Now put them back into their place in the fraction: 108000/3600
Simply the fraction: 30m/s
determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form. 3, 12, 48,
Answer:
i think
3 ,
12
12 ,
48
48 ,
192
192 ,
768
768
Tom has ⅞ cup of olive oil. He uses ½ cup to make salad dressing and ¼ cup to make tomato sauce. How much olive oil does Tom have left?
Answer:
1/8 cup left
Step-by-step explanation:
Starts with 7/8
Uses 1/2 which equals 4/8
Then uses another 1/4 which equals 2/8
4/8+2/8 is 6/8 so he uses 6/8 of olive oil
He has 7/8 and uses 6/8 so 7/8-6/8 quals 1/8
Solve the right triangle. Round decimals answers to the nearest tenth.
Answer:
3^2 + x^2 = 9^2
9 + x^2 = 81
x^2 = 72
x = [tex]\sqrt{72\\}[/tex], which is about 8.5
Cosine X = 3/9
Cosine X = 1/3
angle x= 70.5
If angle x= 70.5, angle z = 19.5 degrees.
Let me know if this helps!
the other answer is correct but i got overzealous and answered it too so uh yeah the other answer is right and im not the brightest, have a nice day :))
True or false this number is written in scientific notation?
.2486 x 10^12
Answer:
It Is TrueIt is true because scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.
What is the slope? ASAP!!!
Answer:
2/1 I think but i don't know
-5x = 25
what is the answer for x?
Answer:
i think its -5
Step-by-step explanation:
if you devide 25 by -5 you get -5
Answer: x = -5
Step-by-step explanation:
We can use inverse operations to solve the equation. Because the term "-5x" is multiplication (because you are multiplying x by -5), we can use division to solve the equation.
First, we will divide -5 from 25.
25 ÷ -5 = -5.
Because of this, x = -5!
If we're not sure, we can also check the equation.
-5 x -5 = 25, so the answer is true.
In conclusion, x = -5!
One card is selected from a deck of cards. Find the probability of selecting a black card or a king.
Answer:
30/52
Step-by-step explanation:
find the slope of the line
Answer:
Number 7 is 3/4 and 8 is 4/-3
Step-by-step explanation:You start at the first point and count up to the same line, then count to the left or right (whichever one it is) and thats the slope. slope is always rise over run
Zach earns 37.50 every weekend for delivering newspapers. Zach is saving his earnings in order to buy a new computer that costs 470.80. if Zach already has 58.30enter the minimum number of weekends Zach will need to work before he has enough money to buy the computer.
Answer:
11 weekends.
Step-by-step explanation:
470.80 = 58.30 + 37.50x
-58.30 -58.30
412.50 = 37.50x
divide both sides by 37.50, and x = 11
A rectangle has a width of 2x and a length of 2x+5, what is the area?
Answer:
what ever the next person says
Step-by-step explanation:
A family of 2 adults and 3 children went on holiday to Miami.
The family visited a theme park.
They paid a total of 322 dollars to go in.
The exchange rate was £1 = 1.84 dollars.
Change 322 dollars to pounds (£).
Answer:
£175
Step-by-step explanation:
Given the exchange rate was £1 = 1.84 dollars.
We are to change 322 dollars to pounds (£).
£1 = 1.84 dollars.
x = 322 dollars
Cross multiply
1.84 * x = 322
1.84x = 322
x = 322/1.84
x = 175
Hence 322 dollars in pounds will be £175
4 divided by 2 (2/5) ???
Answer:
as decimal = 2
as fraction = 1/2
Solve each equation.
1) -20 = -4x - 6x
Answer:
X= 2
Why
-20=-4x-6x
-20=-10x
-20/x=-10x/x
2=x
Answer:
i love algebra anyways
The ans is in the picture and the stops how i got it
(hope that helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
The solution to a system of linear equations could be...
Answer:
a b e f h
Step-by-step explanation:
Helppp! 20 points!
Find m
m
Answer:
M∠ABC=58°
Step-by-step explanation:
The sum of Angle ∠ABD and Angle ∠DBC
37°+21°=58°
I saw answers like 22, but that’s not an option
Answer:
the answer is 57
Step-by-step explanation:
Factor completely. x^2−11x+24
Answer:
(x-3)*(x-8)
Step-by-step explanation:
x^2-11x+24=(x-3)*(x-8)