Answer:
40 and 89
Step-by-step explanation:
let x be the number then the other number is 2x + 9, then
x + 2x + 9 = 129, that is
3x + 9 = 129 ( subtract 9 from both sides )
3x = 120 ( divide both sides by 3 )
x = 40
Thus the numbers are
x = 40 and 2x + 9 = 2(40) + 9 = 80 + 9 = 89
y = -4x + 10 y = -6x + 16 Substitution
Answer:
The answer to this problem is x = 3 and y = -2.
Step-by-step explanation:
To solve this problem, we first have to remember how to solve problems using substitution. We first solve one equation completely in terms of another variable. In this case, this has already been done for us - the first equation is in the form y = f(x). Next, we should substitute this "value" or function for y into the other equation. This process is modeled below:
y = -4x + 10
y = -6x + 16
If we substitute, we get:
-4x + 10 = -6x + 16
Now this is a simple one variable equation that we can solve easily. First, we should add 6x to both sides, giving us:
2x + 10 = 16
Then, we should subtract 10 from both sides, yielding:
2x = 6
Finally, we can divide both sides by 2 to get:
x = 3
Now, we must plug in this value for x into one of our original equations (it doesn't matter which one we choose) to solve for the other variable, y.
y = -4x + 10
y = -4(3) + 10
y = -12 + 10
y = -2
Therefore, the answer to this problem is x = 3 and y = -2.
Hope this helps!
Answer:
x = 3
y = -2
Step-by-step explanation:
y = -4x + 10 first equation
y = -6x + 16 second equation
from the second equation:
6x = -y + 16
x = (-y + 16) / 6 third equation
substituying the value of the third equation into the first equation:
y = -4(-y+16)/6 + 10
y - 10 = -4(-y+16(/6
6(y-10) = -4(-y+16)
6*y + 6*-10 = -4*-y -4*16
6y - 60 = 4y - 64
6y - 4y = 60 - 64
2y = -4
y = -4/2
y = -2
from the third equation:
x = (-y + 16) / 6
x = (-(-2) + 16) / 6
x = (2+16)/6
x = 18/6
x = 3
Check:
from the first equation:
y = -4x + 10
-2 = -4*3 + 10
-2 = -12 + 10
Between which two consecutive whole numbers does
[tex] \sqrt{75} [/tex]
lie? Fill out the sentence below to justify your answer and use your mouse to drag
[tex] \sqrt{75} [/tex]
to an approximately correct location on the number line.
Find the missing value.
Hint: Use the number line to find the missing value
-3 = -7
Answer:
is that all the context that is given?
Which of the following statements is false?
-|-5| = -5
-(-5) = 5
-|5| = -5
|-5| = -5
What is the value of f(2) for f(x)=2x5−8x4+3x3−4x2+9x−1?(1 point)
Answer:
-39
Step-by-step explanation:
just took the quick check
Evaluate j/k-0.2k when j=25 and k=5
Answer:
[tex]4[/tex]
Step-by-step explanation:
[tex] \frac{j}{k} - 0.2k = \frac{25}{5} - 0.2(5) = 5 - 1 = 4[/tex]
The width of a rectangle measures (3.1s – 1.6) centimeters, and its length
measures (7.2s – 4.6) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
Answer:
Expression for perimeter of rectangle is:
[tex]\bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]
Step-by-step explanation:
Width of rectangle is given as [tex]( 3.1 s - 1.6 )[/tex] centimeters and
length of the rectangle is given as [tex](7.2s - 4.6)[/tex] centimeters.
To find:
The expression to represent the perimeter of rectangle in centimeters.
Solution:
First of all, let us have a look at the formula to calculate the perimeter of a rectangle.
Perimeter of a polygon is equal to sum of all the sides.
In rectangle, we have a total of 4 sides, 2 sides equal to the width and 2 sides are equal to the length of rectangle.
Therefore, perimeter of a rectangle is equal to twice the sum of width and length of the rectangle.
So, formula:
[tex]Perimeter = 2(l+w)[/tex]
Where [tex]l[/tex] is the length of rectangle and
[tex]w[/tex] is the width of rectangle.
Putting the values of length and width as given in the question statement to find its perimeter:
[tex]Perimeter = 2((3.1s-1.6) +(7.2s-4.6))\\\Rightarrow Perimeter = 2(10.3s-6.2)\\\Rightarrow \bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]
How does scientific idea become a theory ?
Answer:
A scientific idea can become a theory when you have enough prove to back it up and when it is supported by other scientists.
prove that sin 60° = 2 tan 30°/1+ tan² 30°
◈ LHS :
[tex]:\implies\tt\:sin60\degree[/tex]
[tex]:\implies\bf\:\dfrac{\sqrt{3}}{2}[/tex]
◈ RHS :
[tex]:\implies\tt\:\dfrac{2tan30\degree}{1+tan^230\degree}[/tex]
[tex]:\implies\tt\:\dfrac{2\times \dfrac{1}{\sqrt{3}}}{1+{\large(}\dfrac{1}{{\sqrt{3}}}{\large)}^2}[/tex]
[tex]:\implies\tt\:\dfrac{2}{\sqrt{3}}\times \dfrac{3}{3+1}[/tex]
[tex]:\implies\tt\:\dfrac{2}{\sqrt{3}}\times \dfrac{3}{4}[/tex]
[tex]:\implies\bf\:\dfrac{\sqrt{3}}{2}[/tex]
Hence Proved !!
Please help!!!!!
Solve the equation 5(2y - 1) - 2(3y)= 1
Answer:
y = 3/2
Step-by-step explanation:
5(2y - 1) - 2(3y) = 1
First we use distributive property:
10y - 5 - 6y = 1
because 5 × 2y = 10y
and -2 × 3y = -6y
Now we combine the like terms:
4y -5 = 1
because 10y - 6y = 4y
Now we have to send the -5 to the other side. (when we send it to the other side it becomes positive because right now it is negative)
4y = 1 + 5
Again we combine the like terms:
4y = 6
(because 5 + 1 = 6)
Now we have to send the 4 to the other side because we need to get the y value. (when we send it to the other sidr it will be divided)
y = 6/4
and we simplify:
y = 3/2
And we cannot simplify or do anything else. So that is the answer.
Hope that helped!
y = -x + 2 on a graph
The marked price of an article is Rs.2080. After allowing d% discount and levying
(d-2)% VAT the cost of the article becomes Rs.1997.84. Find the rate of VAT?
Answer:
13%
Step-by-step explanation:
Given:
MP = 2080Discount = d%VAT = (d-2)%Cost = 1997.84Apply discount:
2080 - d% = 2080*(1 - 0.01d)Add VAT:
2080*(1 - 0.01d) + (d - 2)% 2080*(1 - 0.01d) * (1 + (d -2)/100)2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84(1 - 0.01d)(0.98 + 0.01d) = 1997.84/20800.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605 - 0.0001d² + 0.0002d + 0.98- 0.9605 = 00.0001d²- 0.0002d - 0.0195 = 0d² - 2d + 195 = 0Solving the quadratic equation we get:
d = 15Then
VAT rate = 15 - 2 = 13%In the picture below
Answer : The value of x is 100.
Step-by-step explanation :
According to the question, the FH makes a line in which point G is present in between the line FH.
The diagram is shown below.
Given:
FG = (2x) meters
GH = 1000 meters
FH = 1200 meters
Now we have to calculate the value of x.
As we know that:
FH = FG + GH
Now putting all the given values in this expression, we get:
1200 = 2x + 1000
1200 - 1000 = 2x
200 = 2x
x = 100
Therefore, the value of x is 100.
Is 6p-8 monomial, binomial, or trinomial
Answer:
Binomial
Step-by-step explanation:
how many terms are in the equation?
2 = Binomial
Answer: Binomial
Step-by-step explanation:
It contains two terms in 6p-8 (6p, and 8)
Thus it is binomial
Monomial: contains one term
binomial: contains two terms
trinomial: contains three terms
Hope this helps!! :)
Please let me know if you have any question
Please Help me With this 30 points and brainliest to first person
Answer:
(4 * (1 + 2 * 3))^5
Step-by-step explanation:
Try many possibilites and see which one is greater.
The '5' should be an exponent, as it will make the result very large.
Multiplication is usually an operation that makes numbers very big.
Distributive Property Assignment
1/6(3/5x+18)=
Leave answer as a fraction.
Answer:
1/10x+3
Step-by-step explanation:
1/6(3/5x+18)
Multiply 3/5x and 18 by 1/6
1/10x+3
From a full 50-liter container of a 40% concentration of acid, x liters are removed and replaced with 100% acid. (A) Write the amount of acid in the final mixture as a function of x (B) Determine the domain and range of the function (C) Determine if the final mixture is 50% acid PLEASE EXPLAIN...I DON'T UNDERSTAND THIS AT ALL
Answer:
A) 20+0.6[tex]x[/tex]
B) range is [0, 50] (i.e. both inclusive)
C) 8.33 litres
Step-by-step explanation:
Given that concentration of acid in 50 litre container is 40%.
Amount of acid in the container = 40% of 50 litres
Amount of acid in the container = [tex]\frac{40}{100} \times 50 = 20\ litre[/tex]
[tex]x[/tex] litres are removed.
Amount of acid removed = 40% of [tex]x[/tex] litre.
Now, remaining acid in the container = (20 - 40% of [tex]x[/tex]) litre
Now, replaced with 100% acid.
So, final acid in the container = (20 - 40% of [tex]x[/tex] + 100% of [tex]x[/tex] ) litre
Amount of acid in the final mixture:
[tex]20 - \dfrac{40}{100} \times x + \dfrac{100}{100} \times x\\\Rightarrow 20 +\dfrac{100-40}{100}x\\\Rightarrow 20 +\dfrac{60}{100}x[/tex]
Answer A) Amount of acid in the final mixture = 20+0.6[tex]x[/tex]
Answer B) [tex]x[/tex] can not be greater than 50 litres (initial volume of container) and can not be lesser than 0 litres.
so, range is [0, 50] (i.e. both inclusive)
Answer C)
Given that final mixture is 50% acid.
amount of acid = 50% of 50 litres = 25 litres
Using the equation:
[tex]20+0.6x =25\\\Rightarrow 0.6x =5\\\Rightarrow \bold{x =8.33\ litres}[/tex]
Question 9 of 10
Given the lease terms below, find the total lease cost, assuming that the
deposit is nonrefundable.
Terms:
• Length of lease: 24 months
• MSRP of the car: $21,400
• Purchase value of the car after lease: $17,100
• Down payment: $1500
• Monthly payment: $479
• Security deposit: $350
• Acquisition fee: $700
O A. $10,794
OB. $11,100
O c. $14,046
O D. $14,678
The total lease cost assuming that the deposit is nonrefundable is $14046.
What is Meant by Lease Cost?The term "Leasing Costs" refers to all fees paid or benefits granted to a tenant under an existing lease or a new lease, including I commissions for leasing or brokerage services, (ii) direct payments, tenant improvement allowances, work letters, or free rent, and (iii) rent allowances or rent credits.
Given:
Length of lease: 24 months
MSRP of the car: $21,400
Purchase value of the car after lease: $17,100
So, Monthly payment= $479
So, Monthly payment after 24 month
= 11496
Thus, total lease cost = Down payment + Security deposit + Acquisition
fee
+ payment for 24 months
Total lease cost = 1500+ 350+ 700+ 11496
= $14046
Hence, the lease cost is $14046.
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i need help ! someone plz help me, thank you.
Answer: I think it's C
Step-by-step explanation: hope it helps
What is a squared 9 in algebraic form?
How many lines pass through two points ?
Answer:
one
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Postulate 3: Through any two points, there is exactly one line.
If 8f + 7 - 2f = 16, what
is the value of 12 f + 1?
I need help
[tex]8f+7-2f=16\\6f=16-7\\6f=9\\f=\frac{9}{6}[/tex]
We know f, now we want the 12f+1
Therefore, Substitute f = 9/6 in 12f+1
[tex]12(\frac{9}{6})+1\\ = 2*9+1\\=18+1\\=19[/tex]
If you are wondering where 2*9 comes from, it comes from the 12(9/6) and 12 is divided by 6 then we get 2 and multiply the 9 as we get 2*9.
Share is 4 times as old as Marcos. If the sum of their age is 45, which equation could best be used to find their ages?
Answer:
5x = 45
Step-by-step explanation:
x represents marcos
4x represents Share
5x = 45
x = 9
4x = 36
Share is 36 and Marcos is 9
Answer:
4x+x =45
Step-by-step explanation:
x would be marcos, since we do not know his age, and share is 4x that amount, so you would have 4x(shares age) plus x(marcos age) to get your answer.
Identify the coefficient in the expression x + 4.
A x
B 1
C 0
D 4
Answer:
1
Step-by-step explanation:
The coefficient is the number in front of the variable. Since there is not a number written, there is an implied 1
x+4
1x+4
The coefficient is 1
Please help me with this math
alex is 61 inches tall. what is her height in feet ?
may you please show the equation that goes with it
Answer:
5 feet 1 inches
Step-by-step explanation:
if 1 foot is 12 inches.
Then, 60 ÷ 12
= 5
So, 61 inches tall = 5 feet 1 inches.
The answer is 5 feet 1 inches.
The Height of Alex in feet is 5.0833 feet.
To convert inches to feet, we divide the number of inches by 12 since there are 12 inches in 1 foot.
Let's denote the height of Alex in inches as H in and her height in feet as H ft.
H in = 61 inches
H ft = ?
The equation to convert inches to feet is:
H ft = H_ in / 12
Substituting the value of H in into the equation, we have:
H = 61/12
H ft ≈ 5.0833 feet
Therefore, Alex's height is 5.0833 feet.
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91.2727272727 simplify??
Answer:
91 +3409/12500
Step-by-step explanation:
Did you mean simplify as a fraction?
Evaluate the following expression. 5^-1/5^0
Answer:
1/5
Step-by-step explanation:
5^-1/5^0
=5^-1/1
=1/5
Is 6/5 an irrational number
Answer:
yes
Step-by-step explanation:
Answer: Yes it is, because this is written as a simple fraction. A non-simple fraction would be something like 2 1/2. Having that extra whole number in front makes it complex!
Step-by-step explanation:
is 7.0001 a repeating decimal or a terminating decimal or a integer?
Answer:
7.000l is a terminatin decimal.
Step-by-step explanation:
It is an terminating decimal because it stops right at 1, and the one is not repating too. If it was repeating it would be a repating decimal. We know it's not also an integer because we dont see a ngegative sign next to the seven.
Therefore, 7.0001 is a terminating decimal.