Answer:
The system of equations has one solution at (-4, 4).
Step-by-step explanation:
We are given the system of equations:
[tex]\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.[/tex]
We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.
[tex]-5\times(x+2y=4) \rightarrow -5x - 10y = -20[/tex]
Therefore, our system now becomes:
[tex]\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.[/tex]
Now, we can add these two equations together and solve for y.
[tex]\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4[/tex]
Now, we can substitute our value for y into one of the equations and solve for x.
[tex]x+2(4)=4\\\\x + 8 = 4\\\\x = -4[/tex]
Therefore, our final solution is (-4, 4).
Please help. This is a solve for x problem!
Answer:
3/10 = x or 0.3 = x
Step-by-step explanation:
2.1 / x + 1 4/5 = 3 / 10x
1. first cross multiply and solve it normally:
3 (x + 1 4/5) = (2.1) 10x
3x + 5 2/5 = 21x
-3x -3x
5 2/5 = 18x
3/10 = x or 0.3 = x
these questions are kind annoying to solve because of the fractions, so if you can, use a calculator to solve them! its much easier!
hope this helps!
Answer:
x = 3/10 = 0.3
Step-by-step explanation:
{(2.1)/(x+1 4/5)} = 3/10x
x + 1 4/5 = x + 5/5 + 4/5 = x + 9/5
then:
(2.1)/(x+9/5) = 3/10x
10x*2.1 = 3(x+9/5)
21x = 3x+ 27/5
21x - 3x = 27/5
18x = 27/5
90x/5 = 27/5
90x = 27
x = 27/90
x = 3/10 = 0.3
Alexander owes $17.75 to his friend. He borrows $6.50 more from his friend. Which of the following numbers best represents Alexander’s total debt?
Answer:
$24.25
Step-by-step explanation:
$(17.75 + 6.5)
= $24.25
Hope this helped!
2. The reciprocal of 4 3/6 is
a. 6/27
b. 6/30
c. 4 6/3
d. 6 3/4
Answer:
6/27
Step-by-step explanation:
[tex]4 \frac{3}{6} \\ \\ = \frac{4 \times 6 + 3}{6} \\ \\ = \frac{24 + 3}{6} \\ \\ 4 \frac{3}{6} = \frac{27}{6} \\ \\ reciprocal \: of \: 4 \frac{3}{6} = \frac{6}{27} [/tex]
please help will give brianliest
Answer:
I helped
Step-by-step explanation:
you okay do can I get some points cuh
Answer:
with what?? >_>
Addison has a balance of $3,450 on her credit card that has an APR of 18%. She currently pays the minimum monthly payment of $86.25. If Addison wants to pay off her balance in 24 months, determine the monthly payments she would need to make. Choose the following modification with the least cuts to her current expenses that will allow Addison to pay off her balance in 24 months.
Income
WAgES
$2,278.00
EXPENSES
Rent
$950.00
Utilities
$232.45
Food/Clothes
$445.00
Entertainment
$270.00
Car
$200.00
Credit Card
$86.25
Cell Phone
$77.89
Net Income $16.41
a.
Addison can eliminate $73 from Food/Clothes and $100 from Entertainment.
b.
Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
c.
Addison can eliminate $25 from Food/Clothes and $22 from Entertainment.
d.
The minimum payment is enough to pay off the balance within 24 months.
ANSWER IS B)Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
Answer: (B) Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
Based on the information given, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00).
Given the following data:
Balance = $3,450.APR = 18%.Monthly payment = $86.25.Time = 24 months (2 years).How to calculate monthly payment.Mathematically, the monthly payment for a credit card can be calculated by using this formula:
[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]
Where:
P is the principal.r is the interest rate.M is the monthly payment.t is the time.n is the number of times it's compounded.In this scenario, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00) because they are the least cuts to her current expenses and they would avail her an opportunity to pay off her balance in 24 months (2 years).
Read more on monthly payment here: https://brainly.com/question/2151013
68. A table top and the floor are a model of parallel planes.
a. True
b. False
Answer:
true
Step-by-step explanation:
True the table top can go on forever without touching the floor.
How do you do this question?
Answer:
-0.391 < x < 0.391
Step-by-step explanation:
The Maclaurin series for cosine is:
cos(x) = ∑ (-1)ⁿ x²ⁿ / (2n)!
So the next term would be -x⁶/6!. When the absolute value of this is less than the error:
│-x⁶/6!│< 0.000005
x⁶ / 720 < 0.000005
x⁶ < 0.0036
-0.391 < x < 0.391
Is 16.4 greater than 16
Answer:
yea
Step-by-step explanation:
Yes.
16 could also be written as 16.0, or 16.00 or even 16.00000.
16.4 could also be written as 16.40, or 16.400.
And of course, you know 4 is greater than 0.
This is why 16.4 is greater.
When you add a decimal to a number, it always makes it larger. its like saying 16 and 4 tenths.
Each day billy runs on a treadmill for 5 km and runs in the outdoor track for 6000 m in all how many meters does Billy run each day
Answer:
11000 meters
Step-by-step explanation:
1km=1000m
5km=5000m
5000+6000=11000m
610 divided by 20 without a decimal
Answer:
30 remainder 1 or 30.5
Step-by-step explanation:
please make me brainliest
i need help on 23 !!
Answer:
Step-by-step explanation:
1/4 * 2/3 = 2 / 12 = 1/6
How do you find the original price of an item, given the tax percent and the final cost ?
Which probability model would you use to describe the number of damaged printers in a random sample of 4 printers taken from a shipment of 28 printers that contains 3 damaged printers?A) HypergeometricB) BinomialC) UniformD) Poisson
Answer:
The answer is "Option A".
Step-by-step explanation:
The probability function is
[tex]\to P(X) = K_{{C}_{k}} \times \frac{N-K_{{C}_{n-k}}}{N_{C}_{n}}[/tex]
The population size (N)= 28
The number of success in population(K) = 3
The number of draws (n)= 4
You earned a 90% on a science test. You answered 18 questions
correctly. How many questions were on the test?
Answer:
20 questions
Step-by-step explanation:
10 divided by 20 is 0.9 which would be 90%
Can someone help me with this? am i supposed to graph
Answer:
Step-by-step explanation:
1). a(x) = -4x + 7 If x > 1
a(8) = -4(8) + 7
= -32 + 7
= -25
2). a(x) = 2x - x² If -6 < x ≤ 1
a(1) = 2(1) - 1²
= 2 - 1
= 1
3). a(x) = |x - 8| If x ≤ -6
a(-7) = |- 7 - 8|
= |-15|
= 15
4). a(x) = 2x - x² If -6 < x ≤ 1
a(-3) = 2(-3) - (-3)²
= -6 - 9
= -15
5). a(x) = 2x - x² If -6 < x ≤ 1
[tex]a(-\frac{1}{2})=2(-\frac{1}{2})-(-\frac{1}{2})^{2}[/tex]
= - 1 - [tex]\frac{1}{4}[/tex]
= [tex]-\frac{5}{4}[/tex]
6). a(x) = -4x + 7 If x > 1
[tex]a(\frac{9}{4})=-4(\frac{9}{4})+7[/tex]
= -9 + 7
= -2
ed
A running track has two straight sides with length 130 m and two semicircle
ends with radius 40 m. It takes Kat 20 seconds to jog 80 m. How long would
it take her to jog around the track 42 times? Give your answer in hours and
minutes, to the nearest minute.
40 m
130 m
Answer:
1 hour 29 minutes and 29 seconds
Step-by-step explanation:
We need to find the circumference of the two semicircles of the track (which forms a full circle of radius 40m):
pi×40×2 = 80pi
The total length of the track to be travelled would be:
(80pi+130+130) × 42 = (80pi+260) ×42
= 21 476m (Rounded to 5 s.f.)
80m/20s
1s = 80÷20
= 4m
For every 1 second, Kat travels 4m.
Total Time taken:
21 476÷4 = 5369 seconds
= 1 hour 29 minutes and 29 seconds
Yvette invests $300 each quarter in a fixed-interest mutual fund paying annual
interest of 7% compounded quarterly. How much will her account have in it at
the end of 11 years?
Answer:
Step-by-step explanation:
The formula for calculating the amount after t years is expressed as;
A = P(1+r/n)*nt
P is the Principal (amount invested) = $300
r is the rate = 7% = 0.07
t is the time used to save = 11 years
n is time of compounding = 1/4 (quarterly)
Substitute;
A = 300 (1+0.07/(1/4))^(1/4)(11)
A = 300(1+4(0.07))^2.75
A = 300(1+0.28)^2.75
A = 300(1.28)^2.75
A = 300(1.9716)
A = 591.49
Hence the amount that will be in her account after 11 years is $591.49
Daniel received $150 for his birthday this year. this was $10 less than half the amount he received last year. How much money did Daniel receive for his birthday last year?
Answer:
He received $320 last year
Step-by-step explanation:
Answer:
$320
Step-by-step explanation:
2(150 + 10)= x. x=2(160) x=320. SO he actually got 320 dollars for his birthday last year.
Find the difference
5/5 - 2/10
Answer:
0.8
Step-by-step explanation:
Answer:
8/10
Step-by-step explanation:
5/5 is equivalent to 1 whole or one.
So all your suppose to do is 1 minus 2/10 which is 8/10.
Hope that helps
↖(^ω^)↗
2.Marino paid a total of $706 for his accommodation in Seoul, South Korea. He will be spending 7 nights at his hotel.
a) Write an equation to help Marino figure out how much money he was charged in fees.
b) Determine the amount of money he was charged for fees.
Answer:
$4942
Step-by-step explanation:
a.A day accommodation=$706
7 days accommodation=$706x7days
Answer=$4942
b
Is this a function?explain your choice.be specific by describing the domain and range values that may be problematic.
Answer:
yes it is a function
Step-by-step explanation:
Select the correct answer.
Select the lightest weight.
1 750 g
I 0.7 kg
7.5 kg
705
g
7.05 kg
Answer:
1 750 g
Step-by-step explanation:
hhhahahahahahahaha
Consider a coin that a head is twice more likely to occur than a tail. Find the variance of number of heads when the coin is tossed three times.
Answer:
0.667
Step-by-step explanation:
Given that :
Head is twice more likely to occur than a tail.
P(head) = p(H) = 2/3
P(tail) = p(T) = 1/3
If coin is tossed 3 times :
P(H = 0) :
1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail
(1/3) * (1/3) * (1/3) = 1 / 27
P(H= 1)
HTT, THT, TTH
(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)
= 2/27 + 2 /27 + 2/27
= 6/27 = 2/9
P(H=2)
HHT, HTH, THH
(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)
= 4/27 + 4/27 + 4/27
= 12 / 27
= 4 /9
P(H = 3)
HHH
(2/3 * 2/3 * 2/3)
= 8 / 27
X ___ 0 ___ 1 ____ 2 ____ 3
P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27
E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2
E(X) = 2
Var(X) = Σx²p(x) - E(X)²
= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2
= 4.667 - 4
= 0.667
Hence, Var(x) = 0.667
Select the correct answer.
A sphere has a diameter of 24 units. What is its volume in cubic units?
A. 576 cubic units
B. 1,728 cubic units
C. 2,304 cubic units
D 6,912 cubic units
Answer:
c
Step-by-step explanation:
Answer: C.2304
Step-by-step explanation:
volume for a sphere formula: V=4/3πr^3
[tex]V=4/3\pi r^3=4/3*\pi *12^3=7238.23\\7238.23/\pi \\=2304\\[/tex]
Please help I will brainliest!! Really urgent!!
Find the difference
and tell you me how you go it, not just the answer please!❤️
Answer:
1/3x - 1
Step-by-step explanation:
5/6x - 7 -1/2x + 6. - -6 turns it to +6
5/6x - 7 -3/6x + 6. Turn 1/2x to 3/6x to make the denominators the same
5/6x - 3/6x -7 + 6
2/6x -1
1/3x - 1
A manufacturer of women’s blouses has noticed that 80% of their blouses have no flaws, 15% have one flaw, and 5% have two flaws. If you buy a new blouse from this manufacturer, the expected number of flaws will be:_________
a. 0.15
b. 0.20
c. 0.80
d. 1.00
e. none of the above
Answer:
b
Step-by-step explanation:
80% +15% +5%=100
15/100= 0.15
5/100= 0.05
therfore
0.15 + 0.05 = number of flaws
=0.20
Based on the flaws that the manufacturer notices, we can infer that the expected number of flaws will be 0.25 which is e. none of the above.
The expected number of flaws is a weighted average of the percentages that have flaws:
=∑ (Percentage of flaws x Number of flaws)
The expected number of flaws is therefore:
= (80% x 0) + (15% x 1) + (5% x 2)
= 15% + 10%
= 0.25
In conclusion, you would expected the number of flaws to be 0.25.
Find out more at https://brainly.com/question/13412627.
Substitute u = 26 into u + 34 to find the value of the left-hand side of the equation
Answer:
60
Step-by-step explanation:
The answer is 60 because the equation u = 26 tells us u is 26
So we can plug in 26 into u + 34
It should look like this 26 + 34 and it equals 60
pls mark brainliest
How many filled sandwich cookies would you need to reach of 1700 mm if you only had one top of the cookie, the stuffing and one bottom of the cookie? Height of top of cookie 3.5 mm height of stuffing 2 mm and height of bottom of cookie 3.5 mm
Answer:
??
Step-by-step explanation:
what is the correct evaluation of 3x-x+2,when x is equal to -4?
14
-6
6
-14
Answer:
(b) -6
Step-by-step explanation:
=3x-x+2
=3(-4)-(-4)+2
=-12+4+2
=-12+6
=-6
the picture is the answer
Answer:
4. 3
The answer is the last option, all you do is reduce
Step-by-step explanation:
rise over run = rise/run = 6/2
reduce,
6/2
3/1
3x