David begins the summer with a savings of $54.00 more than Fatima. David’s job
pays $8.25 per hour. Fatima’s job pays $9.75. If they both work the same amount of
time each day, how many hours of work will it take David to have as much money as
Fatima? Write an inequality and then solve.
Answer:
36 hours (1 1/2 days, 351$ )
Step-by-step explanation:
create a linear system and solve.
8.25x + 54 = 9.75x
_______________
-8.25x -8.25x
_______________
54 = 1.5x
_______________
1.5 x = 54
_______________
÷ 1.5. ÷1.5
_______________
x = 36.
if you want to know how much money they will have at this time, just substitute the x value that you solved for back into the equation
x = 36 -> 8.25(x) + 54 = 9.75(x)
8.25(36) + 54 = 9.75(36)
297 + 54 = 351
351 = 351
________________________________
David's budget >= 54$
Fatima's budget >= 0$
The required inequality is 8.25x + 54 = 9.75x
It will take 36 hours for David to have as much as Fatima.
David :
Initial saving = 54
Pay per hour = $8.25
Fatima :
Pay per hour = $9.75
Let number of hours worked = x
David's total = $8.25x + 54
Fatima's total = 9.75x
In other to have the same amount :
8.25x + 54 = 9.75x
Collect like terms :
8.25x - 9.75x = - 54
-1.5x = - 54
x = - 54 / - 1.5
x = 36
Hence, it will take 36 hours for David to have as much as Fatima.
Learn more : https://brainly.com/question/13218948
I NEED HELP RIGHT NOW!!! PLEASE!
what is the value of 5 in 0.459
Answer:
Place value= hundreds place
or, 0.05
Can someone help me with this problem and give the answer
Answer:
D
Step-by-step explanation:
No more means the other number is less than or equal to.Which shape has a larger area: a rectangle that is 7 inches by 34 inch, or a square with a side length of 212 inches? Show your reasoning.
Answer:
Area of the rectangle = l×b
= 7×34 = 238sq.inches
Area of the square = side ²
= 212² = 44,944sq.inches
Therefore, the square has a larger area
Multiply (X^4+1)(3x^2+9x+2)
Answer:
whatever they said up there
yee yee
Step-by-step explanation:
Which expression is equivalent to √100 +4√10 +3 −8 √10?
1) −4√10 + 13
2) 10 − √10
3) 3 − 2√10
4) √10
Answer:
√100 +4√10 +3 −8 √10 = −4√10 + 13 TRUE
Step-by-step explanation:
Simplify the following:
sqrt(100) + 4 sqrt(10) + 3 - 8 sqrt(10)
Hint: | Simplify radicals.
sqrt(100) = sqrt(10^2) = 10:
10 + 4 sqrt(10) + 3 - 8 sqrt(10)
Hint: | Evaluate 10 + 4 sqrt(10) + 3 - 8 sqrt(10).
10 + 4 sqrt(10) + 3 - 8 sqrt(10) = 13 - 4 sqrt(10):
Answer: 13 - 4 sqrt(10)
Is √38 rational or irrational
Answer:
Rational
Step-by-step explanation:
Answer:
irrational
Step-by-step explanation:
because it does not simplify into a whole number
A female hippopotamus can weigh 48,000
ounces. How many tons can a female
hippopotamus weigh?
Answer:
1.5 tons
Step-by-step explanation:
1 US tons is equal to 32,000 ounces. Using this, you divided 48,000/32,000 = 12/8 = 1.5 tons
Ron is saving money for college. Each month he deposits 10% of his net income plus
an additional $50 into a savings account. His net income, after taxes have been taken
out, is 80% of his gross income. Find the amount that Ron saves a month when his
gross income is $2400.
Answer:
$242
Step-by-step explanation:
His Gross income a month is $2400.
Now, we are told that his net income, after taxes have been taken out, is 80% of his gross income.
Thus;
Net income a month = 80% × 2400 = $1920
Now, Each month he deposits 10% of his net income plus an additional $50 into a savings account.
This means amount saved each month is = (10% × 1920) + 50 = 192 + 50 = $242
I need help! The 20% off sale is a better deal than the $200 rebate or $150 coupon for the $1,500 dining room set. Explain why this is the best deal for them. Are they under budget?
Answer:
See explanation
Step-by-step explanation:
The 20% off sale is a better deal because 20% off of $1500 will cost $1200. (See work).
However, the 200 or 150 dollars off will cost $1300-1350. Thus, the better deal for the dining room set is to use the 20% off.
If their budget is $1250, they will be $50 under budget because they would be paying $1200 for the set.
Work:
1500 x 20%
1500 x 0.20 = 300
1500-300= $1200
1500-150= 1350
1500-200= 1300
Yes, the Porters are under budget. The 20% off sale is the best deal because $1,500 times 0.20 is $300. $300 is a bigger discount than the $150 coupon and $200 rebate. $300 off $1,500 is $1,200, which is less than the amount budgeted.
you lent your cousin $25.75 and she sent you $30.00 who owes who money and how much money
Answer:
you owe her 4.28
Step-by-step explanation:
30.00-25.75= 4.28
Which percent is represented by the diagram below?
2 area models with 100 squares. In the first model, 100 squares are shaded. In the second model, 25 squares are shaded and 75 are unshaded.
A. 1.25%
B. 12.5%
C. 125%
D. 1250%
Answer:
It is c 125%
Step-by-step explanation:
I took the test
Answer:
C on Edge 2020
Step-by-step explanation:
The American Academy Dermatology says that hair grows about 6 inches per year. How much hair can you expect to grow after 3 years, given that you do not get any haircuts.
pls i want 0.00659887 in a standard form
Answer: 6.59887x10^-3 (scientific notation) (it’s already in standard form I think)
Step-by-step explanation:
John puts $300 into a savings account. He puts more money into the account each month. After 12 months he has $1500 in his savings account. At this rate, how much will he have in his savings acount after 24 months?
Answer:
7200
Step-by-step explanation:
I'm not going to explain but i will say that you should multiply 300x 24 to get you answer
Answer:
[tex]y= 100x +300[/tex]
[tex]x=[/tex] How many months
Step-by-step explanation:
In this equation a
We are solving to find after 24 months you want to plug 24 in to where X is and solve the eqaation from there.
Hope this helps!!
Max is a real estate agent and receives 2% commission on the first $400 000 and 1.5% on the value thereafter.
Find his commission for selling a property worth $920000. Please help me.
Answer:
commission = 15800
Step-by-step explanation:
920000 - 400000 = 520000
400000 x .02 = 8000
520000 x .015 = 7800
8000 + 7800 = 15800
Which one of these is in scientific notation?
8.98 x 5^6
8.987000
80.987 x 10
8.98 x 10^6
Answer:
8.98 x 10^6
Step-by-step explanation:
To be in scientific notation, the number has to be between 1 and 10 then the 10^# has to be present.
2. This model represents an equation
(a) Write an equation that could be used to solve x.
(b) Solve the equation for x. Show your work
ILL GIVE YOU BRAINLIEST
Answer:
i believe its A. hope that helps
Step-by-step explanation:
Answer to The model represents the quotient of two fractions equation does this model represent
Help!!!
Solve for x and y to satisfy both equations in the system:
{6x+y=252x−3y=25}
Answer:
6x+y=25
2x_3y=25
2(6x+y=25
6(2x_3y=25
12x+2y=50
12x_18y=50
20y=100
y=5
6x+y=25
6x+5=25
6x=20
x=3.33
Find the length of the missing side. The triangle is not drawn to scale
Please add triangle image.
Answer:
i cant answer without a picture or something to see what the missing sides are..
comment the graph and i will answer the question
Step-by-step explanation:
THe ratio of goldfish to gallons of water is 7 to 2 how many gallons of water do you need to keep16 fish
Answer:
56
Step-by-step explanation:
7:2 16/2=8 8(7)=56
The length of a football field including the end zones is 48 feet longer than four times the length of a tennis
court. It is also 282 feet longer than a tennis court.
How long is the foorball field?
How long is the tennis court?
Answer:
T=78 feet (Tennis court)
360 feet (Football Filed)
Step-by-step explanation:
4T+48 = T+282
The length of the football field is 360 feet.
The length of the tennis court is 78 feet.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The length of a football field including the end zones is 48 feet longer than four times the length of a tennis court.
And, It is also 282 feet longer than a tennis court.
Let the length of the tennis court = x
So, The length of the football field = 48 + 4x
Here, The length of the football field is 282 feet longer than a tennis court.
So, We get;
⇒ 48 + 4x = 282 + x
⇒ 4x - x = 282 - 48
⇒ 3x = 234
⇒ x = 78
Thus, The length of the football field = 48 + 4x
= 48 + 4×78
= 48 + 312
= 360 feet
The length of the tennis court = x
= 78 feet
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
What is the exact distance from (−5, 1) to (3, 0)?
Answer:
√65
Step-by-step explanation:
I am pretty sure this is the correct answer :)
Answer:
d = √(x2 - x1)² + (y2 - y1)² given two points, (-5, 1) (3, 0)
d = √(3 - (-5)² + (0 - 1)²
d = √(8)² + (-1)²
d = √64 + 1
d = √65 B. is the answer
Step-by-step explanation:
PLEASE HELP I AM BEING TIMED!!!
Statment: Find the value of x that makes Line U and line V and parallel.
Options: 2
6
8
4
Answer:
6
Step-by-step explanation:
To be parallel the degree of both lines need to be equal
130=20x+10
120=20x
6=x
HELPPP ASAP PLSSS!!!
Answer:
a.) yes
b.) no
c.) yes
d.) yes
It takes 18 hours to fill a pool using 8 garden hoses. How long would it take to fill the same pool using 9 garden hoses? (Answer not 20)
Answer:
2.25 hours per hose
Step-by-step explanation:
i think you can find it from there
(-12x^8 – 2v) - 11x^8
Answer:
-23[tex]x^{8}[/tex]-2v
Step-by-step explanation:
Can someone answer the first question ????? PLEASE HURRY ILL GIVE ALL MY POINTS
Answer:
its F
Step-by-step explanation:
Its f since when you do the reflection on a grid you will get (1,-4) No problem ;D
Yo yo Help a girl out LOL due today please help just need the answer <3
Answer: The answer is 19 hours
Step-by-step explanation:
Answer:
the correct answer is 19
Step-by-step explanation:
Can someone pls explain to me how Identify the domain and range of a graph!!,
Answer:
Ok
Step-by-step explanation:
So, the domain is the set of all possible values that can be inputted into the function. Or where is function on the x axis is the function defined. The range is similar but on the y axis. In this case, the function you have there appears to go on to infinity (I assume that is what the arrow means) and so the range would be [-1, -infinity) and domain [1, infinity). Brackets are important here because it shows that the function is still defined at point (1,-1), therefore, I used [ bracket symbol (I again assumed that the shaded in black dot at point (1,-1) means that the function is closed at that point and that when it is not shaded in, it is open). I feel like I didn't explain very well but good luck and hopefully someone does a better job that what I did.