Answer:
(4.5, 8) and (8, 4.5)
Step-by-step explanation:
Given the equations
(x+y)=12.5 ... 1
X ×Y=36 .... 2
From 2, Y = 36/X
Substitute into 1
x+ 36/x = 12.5
x^2 + 36 = 12.5x
x^2 - 12.5x + 36 = 0
10x^2 - 125x + 360 = 0
2x^2 - 25x + 72 = 0
Factorize
2x^2 - 16x - 9x + 72 = 0
2x(x-8)-9(x-8) = 0
2x-9 = 0 and x-8 = 0
x = 9/2 and x = 8
when x = 9/2
Y = 36/(9/2)
Y = 36 * 2/9
Y = 8
When x = 8
Y = 36/X
Y = 36/8
Y = 4.5
Hence the solutions are (4.5, 8) and (8, 4.5)
the last parttttttttt
Answer:
Step-by-step explanation:
35x2^10
Answer:
35,840
Step-by-step explanation:
(7 · 2^5) · (5 · 2^5) = (7 · 32) · (5 · 32) = 224 · 160 = 35,840
CAN SOMEONE PLS HELP WITH THESE WORD PROBLEMS PLSSS IVE BEEN STUCK HELP HELP HELP
Answer:
3. 76 Balls and 27 Bats
4. you try this
5. you try this
Step-by-step explanation:
Each problem follows the same approach to solve.
Setup 2 equations, one showing the total number and the other showing the total costs.
I'll work out problem 3 and you should be able to do the other two
L=the number of balls
T=the number of bats
equation 1:
L+T=100
equation 2:
L(4.50) + T(20.00) = 822
solve for T in equation 1:
T= 100-L
now substitute T in equation 2:
L(4.5) + 20(100-L) = 822.0
solve for L:
L= -1178/-15.5=76
T=100-76=24
I'll let you know if problems 4 and 5 are correct
Write a quadratic function f whose zeros are 2 and 10.
f(x) =
2
A swimming pool is in the shape of a rectangular prism with a horizontal cross-section 10 feet by 20 feet. The pool is 5 feet deep and filled to
capacity. Water has a density of approximately 60 pounds per cubic foot, or 8 pounds per gallon.
What is the approximate weight of water in the pool?
Answer:
The weight of the water in the pool is approximately 60,000 lb·f
Step-by-step explanation:
The details of the swimming pool are;
The dimensions of the rectangular cross-section of the swimming pool = 10 feet × 20 feet
The depth of the pool = 5 feet
The density of the water in the pool = 60 pounds per cubic foot
From the question, we have;
The weight of the water in Pound force = W = The volume of water in the pool given in ft.³ × The density of water in the pool given in lb/ft.³ × Acceleration due to gravity, g
The volume of water in the pool = Cross-sectional area × Depth
∴ The volume of water in the pool = 10 ft. × 20 ft. × 5 ft. = 1,000 ft.³
Acceleration due to gravity, g ≈ 32.09 ft./s²
∴ W = 1,000 ft.³ × 60 lb/ft.³ × 32.09 ft./s² = 266,196.089 N
266,196.089 N ≈ 60,000 lb·f
The weight of the water in the pool ≈ 60,000 lb·f
A right rectangular prism has a side height of 4 cm and a volume of 48 cm cubed.
What is the area of the base of the prism?
A. 15 2
B. 12 2
C. 11 2
D. Not listed
Answer:
15cm^2
Step-by-step explanation:
it is basic math to me.
Michelle sells umbrellas. 2 9 of her umbrellas are blue, the rest are red. 5 11 of the red umbrellas have plastic covers. What fraction of the Michelle's red umbrellas that do not have plastic covers?
Answer: 14/33
Step-by-step explanation:
Since 2/9 of the umbrella are blue, the fraction for red umbrellas will be:
= 1 - 2/9
= 7/9
Since 5/11 of the red umbrellas have plastic covers. The fraction for those without plastic covers will be:
= 1 - 5/11
= 6/11
Therefore, the fraction of Michelle's red umbrellas that do not have plastic covers will be:
= 6/11 × 7/9
= 42/99
= 14/33
please help me with math
no links i will report
no random answers please i really need help
find measure of CDE
Answer:
CED = 172°
Step-by-step explanation:
CDE = 360° - 35° - 50° - 103°
CDE = 172°
Find the measure of angle STP.
Pleasee help!!
Answer:
105
Step-by-step explanation:
15x=7x+6+7x+1
15x=14x+7
x=7
15(7)=105
A group pre-orders 12 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket costs $32, so the debt for one ticket is - $32. The tour
company adds a $20 fee for the entire order. Including the fee, which number represents the total debt?
- $624
- $384
-$364
-$404
EASY!!!
9 × 3 × (−2) + (−36) ÷ 12 − 1
sam deposits 10000 into a savings account that earns 4.25% interest compounded annually. What will be the total amount in the account
Answer:
With the compound interest calculator, you can accurately predict how profitable ... The total compound interest is $3,926.8. ... Note that in the case where you make a deposit into a bank (e.g., put money in your savings account), you have, ... You invest $10,000 for 10 years at the annual interest rate of 5%.
Step-by-step explanation:
priya says that 1/3 x 1/3 x 1/3 x 1/3 = 4/3. do you agree with priya? explain or show your reasoning
Someone plz help me giving brainliest T^T plz select (2)
Answer:
F.
Step-by-step explanation:
there are 36 tiles overall from where 4 are purple so
[tex]\frac{4}{36} =\frac{1}{9} =\frac{1}{3} *\frac{1}{3}[/tex]
Practice identifying reflectional and rotati Which letters have 2 or more lines of symmetry? Check all that apply. here's the better one
Answer:
O, H, X
Step-by-step explanation:
i did this on edg hope this helps
Answer:
O H X
Step-by-step explanation:
Can someone help me with this triangle??
Find missing side lengths
Answer:
M= 15 degrees N= 15 degrees
Step-by-step explanation:
Right triangles are always 90 degrees so 90-60=30
since theres 2 sides you have to split 30 in 2 so 30 divided by 2 equals 15
Find the sum or type
“impossible"
Help Resources
[1 -2 1] + [4 -5 -6]
Skip
[[?]
Enter
Answer:
-7
Step-by-step explanation:
looked on photomath
When asked to rewrite the expression (x3 + 2x? – x)-(-x3 + 2x2 + 6), Denise made a mistake. She did not get the correct answer, 2x3 -x-6. Identify where she
made her made her mistake.
Your answer
She started with the original problem: (x3 + 2x2 - x)-(-x3 + 2x2 + 6)
o She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6
She rearranged the terms to put the like terms together: x3+ x3 + 2x2 – 2x2-x+6
She combined like terms to get a simplified answer: 2x3 - x + 6
Answer:
She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6
Step-by-step explanation:
It looks like she didn't fully distribute the -
(x3 + 2x2 - x)-(-x3 + 2x2 + 6) :Original
x3+ 2x2 - x + x3 – 2x2 +6 :Changed
~
(x3 + 2x2 - x)-(-x3 + 2x2 + 6)
x3 + 2x2 - x + x3 - 2x2 - 6
x3 + x3 + 2x2 - 2x2 -x - 6
2x3-x-6
I hope this helps ^-^
HELP HELP HELP ILL MARL BRAINLIEST TO WHOEVER
Answer:
x- 2
Step-by-step explanation:
A restaurant charged you $50 for the meal. You pay an 8% sales tax on the meal. How much was the tax?
A. $40.00
B. $4.00
C. $0.40
D $54.00
Answer:
The answer is B.4.00
BRAINLY TO WHOEVER CAN HELP ASAP
Answer:
D
Step-by-step explanation:
Dilating something makes it become bigger. Leading to a larger area and perimeter
WXYZ is a parallelogram, find the following values.
Answer:
b=7
Z=65
Step-by-step explanation:
18b-11+9b+2=180
27b-9=180
27b=180+9
b=189/27
b=7
____________
Angle Z=9×7+2
=63+2
Z=65
hope it helps you...
have a great day!!!
Answer:
b = 7
z = 65
this is correct answer of this question hope it helps and your day will be full of happiness ^_^
HELPP PLEASE!!!!!!!!
Answer:
51.0feet
Step-by-step explanation:
To get the length of the given diagonal, we will use pythagoras theorem as shown;
First we need to get the diagonal of the base;
d² = 40²+30²
d² = 1600+900
d² = 2500
d = √2500
d = 50ft
The diagonal of the base is 50ft
Get the required diagonal
Let the required diagonal be x
x² = 10²+50²
x² = 100+2500
x² = 2600
x = √2600
x = 50.99feet
Hence the distance of the red line is 51.0feet to the nearest tenth
Emma eats 5 bags of chips a week. How many bags of chips does she eat (on average) a day? A month? A year?
Answer:
5/7 ; 21 ; 260
Step-by-step explanation:
Given that:
Number of bag of chip eaten in a week = 5
Therefore, on average
Number of bags eaten per day will be :
Number of days per week = 7
Number of bags eaten per day= 5 /7 = 0.714 bags
Number of bags eaten per month :
Number of days in a month = 30
Number eaten or month = 5/7 * 30 = 21.42 bags = about 21 bags
Number of bags eaten per year :
Number of days in a year = 365 days
= 5/7 * 365
= 260.71
= about 260 bags per year.
please help (algebra)
Answer:
4. Corresponding angles
5. alternative interior angles
6. Same-side interior angles
7. Supplementry
Step-by-step explanation:
I can't see the numbers so I can't solve for x. Sorry.
You have $25 in your bank account. You start saving $9 each week. Your friend has
$10 in his account and is saving $12 each week. Which system of equations could be
used to model the total amount in the bank account, t as a function of weeks, w.
A)t=9w+25. T=12w+10
B)t+w=25. 10t+9w=12
C)t=9w+12w. T=10w+12
D)t=9w+12w. T+w=25
Answer:
A)t=9w+25. T=12w+10
Step-by-step explanation:
Equation for you:
t = 25 + 9w
Equation for friend:
t = 10 + 12w
Dina added five-sixths of a bag of soil to her garden. Her neighbor Natasha added eleven-eighths bags of soil to her
garden. How much more soil did Natasha add than Dina?
Answer:
Natasha added 13/24ths more than Dina.
Step-by-step explanation:
By getting common denominators you have 66/48-40/48 then you get 26/48 and you just simplify this by 2 to get 13/24ths.
Love you, hope this helps.
similfy (6^(7))^(3) Thank you!
Answer:
6^21
Step-by-step explanation:
(6^7)^3 = 6^(7*3) = 6^21
Kayden was offered a job that paid a salary of $39, 500 in its first year. The salary
was set to increase by 2% per year every year. If Kayden worked at the job for 9 years,
what was the total amount of money earned over the 9 years, to the nearest whole
number?
Answer:
FV= $385,307.82
Step-by-step explanation:
Giving the following formula:
Annual salary (A)= $39,500
Growth rate (g)= 2% annual
Number of years (n)= 9 years
To calculate the total amount earned over 9 years, we need to use the following formula:
FV= {A*[(1+g)^n-1]}/g
A= annual deposit
FV= {39,500*[(1.02^9) - 1]} / 0.02
FV= $385,307.82
Jordan is saving to buy a computer that costs $425. So far she has saved $125, and she adds $20 to her savings each week. How many weeks must she save to be able to afford the computer?
Answer:
15 more weeks
Step-by-step explanation:
425 - 125 (what shes already saved)
300 divided by 20 (amount shes saving each week)
Result is 15, so 15 more weeks.
Hope this helped :)
If you mean how many weeks total, 125 according to the 20 dollars a week would bring it 22 weeks i think.. since the answer answer is 21.2 weeks exactly when you divide 425 by 20.
HELP ILL GIVE U THE BRAINLIEST
Answer:
(0, 3 )
Step-by-step explanation:
To find the y- intercept , substitute x = 0 into f(x), that is
f(0) = 3 × [tex]4^{0}[/tex] [ note [tex]4^{0}[/tex] = 1 ]
= 3 × 1
= 3
y- intercept = (0, 3 )