Answer:
Step-by-step explanation:
Rational solution
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
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
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
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
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 :))
The solution to a system of linear equations could be...
Answer:
a b e f h
Step-by-step explanation:
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:
Please help and show work
Answer:
254.34 in²
Step-by-step explanation:
The diameter is 18, so the radius is 9. The formula for circumference is [tex]\pi r^{2}[/tex]. 9 squared is 81. 81 x 3.14 is 254.34.
Hope it helps!
4 divided by 2 (2/5) ???
Answer:
as decimal = 2
as fraction = 1/2
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
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
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
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
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...
Evan is going to an amusement park. The price of admission into the park is $40, and
once he is inside the park, he will have to pay $2 for every ride he rides on. How
much money would Evan have to pay in total if he goes on 15 rides? How much would
he have to pay if he goes on r rides?
Answer:
70
40+2r
Step-by-step explanation:
x= number of rides
40+2x
plug in 15 for x
40+2(15)
70
for hte other part just replace x with r
40+2r
If an orange is 14cm in diameter.if 3/7 of it is juice,what volume of juice can you get from 5 such oranges.
(Pie=22/7)
Answer:
3079.5 cm^3
Step-by-step explanation:
We need to find the volume of the orange using the volume of a sphere formula V= 4/3 (π)(r^3). So we plug in the numbers V= 4/3 (22/7) (7^3) and solve. Simple simply the exponent and multiply everything. V= 4/3 (22/7) (343)= 1437 cm^3. Then we take 3/7 from the volume to focus on the juice. 1437(3/7) = 615.9 cm^3. Then multiply by five to find the volume of juice from 5 oranges. 615.9(5)= 3079.5 cm^3
-6, 12 ,-24 ,48 what would be the next term in this sequence (help ASAP please )
Rashid owned n sheep. Eifion had exactly 4 times as many sheep as Rashid. Rashid buys 17 extra sheep. Eifion sells 8 of his sheep. Eifion still has more sheep than Rashid. Form an inequality, in terms of . Solve the inequality to find the least value of
4n - 8 > n + 17
n > 8.33
This means n is greater than 8.33.
We can have 9, 10, 11, 12, 13, ,,, and so on.
The least value is 9.
The least value of the number of sheep is 9.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Rashid:
Number of sheep owned = n
Bought 17 sheep = n + 17
Eifion:
Number of sheep owned = 4n
Sells 8 sheep = 4n - 8
Eifion still has more sheep than Rashid.
This means,
4n - 8 > n + 17 ______(1)
Solving for n in (1).
4n - 8 > n + 17
Subtract n on both sides.
4n - 8 - n > n + 17 - n
3n - 8 > 17
Add 8 on both sides.
3n - 8 + 8 > 17 + 8
3n > 25
Divide 3 on both sides,
n > 25/3
n > 8.33
This means n is greater than 8.33.
We can have 9, 10, 11, 12, 13, ,,, and so on.
The least value is 9.
Thus,
The least value of the number of sheep is 9.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
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
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°
Determine whether Joe is shorter or taller than the height of the tepee
Answer:
shorter
Step-by-step explanation:
What is 2(5 to the second power) +3(5) - 12
Answer:
53
Step-by-step explanation:
What is the slope? ASAP!!!
Answer:
2/1 I think but i don't know
Factor completely. x^2−11x+24
Answer:
(x-3)*(x-8)
Step-by-step explanation:
x^2-11x+24=(x-3)*(x-8)
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.
Answer fasttt plsssssss
Answer:
25ax25b= 625
please help again :,)) is it one solution, all solutions, or one
please show your work.
Answer:
Infinite many solutions
Step-by-step explanation:
If you graph it there is only 1 line
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:
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
I saw answers like 22, but that’s not an option
Answer:
the answer is 57
Step-by-step explanation:
