For the equation, complete the solution. 7x + y = −18
Answers
Answer:
x= - 18/7 - 1/7y, y
or if you are solving for y= -18-7x, x
( SEE OTHER IMAGE)
Step-by-step explanation:
See image below:)
Answer:
[tex]x= \frac{- 18 - y }{7}[/tex]
y = - 18 - 7x
Step-by-step explanation:
7x + y = - 18
7x + y - y = - 18 - y
7x = - 18 - y
[tex]\frac{7x}{7}= \frac{- 18 - y }{7}[/tex]
[tex]x= \frac{- 18 - y }{7}[/tex]
7x + y = - 18
7x - 7x + y = - 18 - 7x
y = - 18 - 7x
Related Questions
109.06 in scientific notation is
Answers
i'll promise to give the brainliest ! so, can someone help me with this one please
Answers
Answer:
13inches
Step-by-step explanation:
hope it works boy
answer:
thanks for the points luv
You deposit $10,000 in an account that pays 4.5% interest compounded quarterly. Using the future value $10,457.65, what is the interest rate if simple interest was used? (I am struggling with formulas)
Answers
9514 1404 393
Answer:
4.5765%
Step-by-step explanation:
Apparently, you have to figure out how long it would take to accumulate a balance of $10,457.65 with interest compounded, then use that time period to compute the equivalent simple interest rate. The relevant formulas are ...
A = P(1 +r/n)^(nt) . . . . amount of P at rate r compounded n times per year for t years
A = P(1 +rt) . . . . amount of P at rate r simple interest for t years
We need to use the first formula to find t, then use the second formula to find r. In both cases A=10457.65 and P=10000. Quarterly compounding means n=4. The interest rate is r=0.045 for the first formula.
Looking for t:
A/P = (1 +r/n)^(nt) . . . . . . . . . . divide by P
log(A/P) = nt·log(1 +r/n) . . . . . take logs
t = log(A/P)/(n·log(1 +r/n)) . . . divide by the coefficient of t
Filling in the given values, we find t to be ...
t = log(10457.65/10000)/(4·log(1 +0.045/4)) = 0.999998 ≈ 1.0
The compound interest is applied for 1 year (t=1), so now we can find r using the second formula.
A = P(1 +rt)
A/P -1 = rt
Filling in the known values, we have ...
1.045765 -1 = r = 0.045765 = 4.5765%
The equivalent simple interest rate on the deposit is 4.5765%.
A movie theater sells matinee tickets for $6 each and has a capacity of 100 people. The function M(x) = 6x represents the amount of money the movie theater makes from ticket sales,
where x is the number of customers. What would be the most appropriate domain for the function? (1 point)
Whole numbers less than or equal to 100
Whole numbers that are multiples of 6
All real numbers
All whole numbers
Answers
Answer:
A. Whole numbers less than or equal to 100
Step-by-step explanation:
The domain is the set of x numbers that can be plugged in to a certain equation.
Since the capacity of this movie theater is 100, x can be between 0 and 100, inclusive.
Answer choice A makes sense because whole numbers are definitionally positive integers and this choice caps out at 100.
Triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 and centered at point A. Is triangle ABC congruent to triangle A'B'C'? Explain your answer.
Answers
Answer:
See below
Step-by-step explanation:
Congruent means having the same size and shape.
If triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 then the two triangles will not acquire the same size
This is because when a shape undergoes a dilation the dilated image is either larger or smaller and can therefore not maintain the same size as the pre image. Hence the triangles are not congruent.
Triangle ABC is not congruent to triangle A'B'C'
How to determine the congruent statement?The triangles are given as:
Triangle ABC and A'B'C'
The other parameters are:
Scale factor, k = 1/2
Center = Point A
Since the scale factor is not 1, then the triangles would not be congruent; but they would be similar
Hence, triangle ABC is not congruent to triangle A'B'C'
Read more about dilation at:
https://brainly.com/question/9791066
PLEASE HELPPPPPPP QUICKKKKKKKK
Answers
Answer:
What do you need help with?
Step-by-step explanation:
You didn't put a question
mary is 1 m 15 cm tall. her friend larry is 1 m 30 cm tall. who is taller and by how much?
Answers
Answer:
Mary's friend Larry is taller by 15cm.
Step-by-step explanation:
First look for the bigger number.
Then subtract the smaller number from the bigger number.
b) La base de un
Es 3cm mas.
que la altura
Si el aria del triangulo es 35 cm2 ¿cuáles son las medidas de la base y lo oltura del triangulo?
Answers
Answer: The height of the triangle is 23.3 cm
Step-by-step explanation:
To calculate the area of a triangle, we use the equation:
[tex]Area=\frac{1}{2}\times b\times h[/tex]
where,
b = base of the triangle = 3 cm
h = height of the triangle = ?
Area of the triangle = [tex]35cm^2[/tex]
Putting values in above equation, we get:
[tex]35cm^2=\frac{1}{2}\times 3cm\times h\\\\h=\frac{2\times 35}{1\times 3}=23.3cm[/tex]
Hence, the height of the triangle is 23.3 cm
Choose the function whose graph is given by: A. y=tan(x+1)-pi B. y=tan(x-pi)-1 C. y=tan(x-pi)+1 D. y=tan(2(x+pi))-1
Answers
Aver si le entiendes bro
Alexis pls answer this question you are sooooooooooooo good at math. (Nobody else answer this, only Alexis)
Answers
Answer:
5/8
Step-by-step explanation: Keep, Change and Flip so you do 1/2 times 5/4
Answer:
5/8
Step-by-step explanation:
To divide by a fraction. multiply by the reciprocal of that fraction.
1/2 * 5/4
Multiply the fractions across.
so 1*5=5, then do 2*4= 8
5/8
HELP PLEASE WITH THESE IM SO LOST AND NEED HELP! 1-4!
Answers
Answer:
1.tenisha
2.1\5+1\3=1\×
3.n-12=1\3(n+2)
4.500×=120
PLS HELP I WILL GIVE BRAINLIEST
Answers
Answer:
a) correct
b) 70 degrees
Step-by-step explanation:
since in the triangle BXC the sides BX and XC have the same length, they must also have the same angles with the baseline BC.
so, we know, XBC = 55 degrees.
and therefore BCX = 55 degrees.
the sum of all angles in a triangle is always 180 degrees.
so,
BXC = 180 - 55 - 55 = 70 degrees
The number of visits to public libraries increased from 1.3 billion in 1993 to 1.7 billion in 1997. Find the average rate of change in the number of public library visits from 1993 to 1997.
Answers
Answer:
The average rate of change in the number of public library visits from 1993 to 1997 was of 0.1 billion an year.
Step-by-step explanation:
Average rate of change:
Division of the subtraction of the final value by the initial value, divided by the length of time.
The number of visits to public libraries increased from 1.3 billion in 1993 to 1.7 billion in 1997.
Initial value: 1.3 billion
Final value: 1.7 billion
1997 - 1993 = 4 years.
Thus:
[tex]A = \frac{1.7 - 1.3}{4} = \frac{0.4}{4} = 0.1[/tex]
The average rate of change in the number of public library visits from 1993 to 1997 was of 0.1 billion an year.
What is the value of x in the equation 1/5x-2/3y = 30, when y = 15
Answers
Answer:
x=200
Step-by-step explanation:
(1/5)x-(2/3)y=30, y=15
(1/5)x-(2/3)*15=30
(1/5)x=40
x=200
33. A labourer is engaged for 20 days on the condition that he will receive 120 for each day he
works and will be fined 10 for each day he is absent. If he receives 1880 in all, for how
many days did he remain absent?
thind of his nronerty to his son one-fourth to his daughter and
Answers
Answer:
false
Step-by-step explanation:
Consider the random experiment of tossing 3 fair coins and observing how many of them come to rest with the heads side of the coin facing upwards. (Assume that each of the coins comes to rest with either its heads side or its tails side facing upwards (i.e., none of the coins comes to rest balanced on its edge).) Letting A denote the event that at least 1 of the coins comes to rest with its heads side upwards, B denote the event that none of the coins comes to rest with its heads side upwards, and S denote the sample space, which of the following statements does not include an abuse of notation?
a. S = 16
b. S = AUB
c. S - 4
d. S = 3
e. P(B) = φ
Answers
Answer:
b. S = AUB
Step-by-step explanation:
Since the coins are tossed 3 times and each coin has head, H and tail, T(2 sides), the sample space is S = 2 × 2 × 2 = 2³ = 8
All the possible outcomes are HTT, HHT, HHH, THH, TTH, HTH,THT and TTT
Since S denote the sample space
S = {HTT, HHT, HHH, THH, TTH, HTH,THT, TTT}
Since A denote the event that at least 1 of the coins comes to rest with its heads side upwards, the possible outcomes are HTT, HHT, HHH, THH, TTH, HTH and THT
So, A = {HTT, HHT, HHH, THH, TTH, HTH,THT}
Also B denote the event that none of the coins comes to rest with its heads side upwards, that is no heads. The possible outcome is TTT
So, B = {TTT}
Since S denote the sample space
S = {HTT, HHT, HHH, THH, TTH, HTH,THT, TTT}
So, A ∪ B = {HTT, HHT, HHH, THH, TTH, HTH,THT} ∪ {TTT} = {HTT, HHT, HHH, THH, TTH, HTH,THT, TTT} = S
So, S = A ∪ B
So, S = A ∪ B does not denote an abuse of notation.
The answer is b.
what is the sum of the rational expressions x-4/2x+3x/2x-1
Answers
Answer:
May the ans will help you.
A 20-year loan of 1000 is repaid with payments at the end of each year. Each of the first ten payments equals 150% of the amount of interest due. Each of the last ten payments is X. The lender charges interest at an annual effective rate of 10%. Calculate X.
Answers
Answer:
[tex]x = 97[/tex]
Step-by-step explanation:
Given
[tex]t = 20[/tex] --- time (years)
[tex]A =1000[/tex] --- amount
[tex]r = 10\%[/tex] --- rate of interest
Required
The last 10 payments (x)
First, calculate the end of year 1 payment
[tex]y_1(end) = 10\% * 1000 * 150\%[/tex]
[tex]y_1(end) = 150[/tex]
Amount at end of year 1
[tex]A_1=A - y_1(end) - r * A[/tex]
[tex]A_1=1000 - (150 - 10\% * 1000)[/tex]
[tex]A_1 =1000 - (150- 100)[/tex]
[tex]A_1 =950[/tex]
Rewrite as:
[tex]A_1 = 0.95 * 1000^1[/tex]
Next, calculate the end of year 1 payment
[tex]y_2(end) = 10\% * 950 * 150\%[/tex]
[tex]y_2(end) = 142.5[/tex]
Amount at end of year 2
[tex]A_2=A_1 - (y_2(end) - r * A_1)[/tex]
[tex]A_2=950 - (142.5 - 10\%*950)[/tex]
[tex]A_2 = 902.5[/tex]
Rewrite as:
[tex]A_2 = 0.95 * 1000^2[/tex]
We have been able to create a pattern:
[tex]A_1 = 1000 * 0.95^1 = 950[/tex]
[tex]A_2 = 1000 * 0.95^2 = 902.5[/tex]
So, the payment till the end of the 10th year is:
[tex]A_{10} = 1000*0.95^{10}[/tex]
[tex]A_{10} = 598.74[/tex]
To calculate X (the last 10 payments), we make use of the following geometric series:
[tex]Amount = \sum\limits^{9}_{n=0} x * (1 + r)^n[/tex]
[tex]Amount = \sum\limits^{9}_{n=0} x * (1 + 10\%)^n[/tex]
[tex]Amount = \sum\limits^{9}_{n=0} x * (1 + 0.10)^n[/tex]
[tex]Amount = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
The amount to be paid is:
[tex]Amount = A_{10}*(1 + r)^{10}[/tex] --- i.e. amount at the end of the 10th year * rate of 10 years
[tex]Amount = 1000 * 0.95^{10} * (1+r)^{10}[/tex]
So, we have:
[tex]Amount = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
[tex]\sum\limits^{9}_{n=0} x * (1.10)^n = 1000 * 0.95^{10} * (1+r)^{10}[/tex]
[tex]\sum\limits^{9}_{n=0} x * (1.10)^n = 1000 * 0.95^{10} * (1+10\%)^{10}[/tex]
[tex]\sum\limits^{9}_{n=0} x * (1.10)^n = 1000 * 0.95^{10} * (1+0.10)^{10}[/tex]
[tex]\sum\limits^{9}_{n=0} x * (1.10)^n = 1000 * 0.95^{10} * (1.10)^{10}[/tex]
The geometric sum can be rewritten using the following formula:
[tex]S_n = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
[tex]S_n =\frac{a(r^n - 1)}{r -1}[/tex]
In this case:
[tex]a = x[/tex]
[tex]r = 1.10[/tex]
[tex]n =10[/tex]
So, we have:
[tex]\frac{x(r^{10} - 1)}{r -1} = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
[tex]\frac{x((1.10)^{10} - 1)}{1.10 -1} = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
[tex]\frac{x((1.10)^{10} - 1)}{0.10} = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
[tex]x * \frac{1.10^{10} - 1}{0.10} = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
So, the equation becomes:
[tex]x * \frac{1.10^{10} - 1}{0.10} = 1000 * 0.95^{10} * (1.10)^{10}[/tex]
Solve for x
[tex]x = \frac{1000 * 0.95^{10} * 1.10^{10} * 0.10}{1.10^{10} - 1}[/tex]
[tex]x = 97.44[/tex]
Approximate
[tex]x = 97[/tex]
What number must you add to complete the square? x^2+26x=11
Answers
Answer:
[tex] {x}^{2} + 26x = 11 \\ x = 0.4 \: and \: - 26.4[/tex]
please step by step with formula.
Suppose that you deposit $3,850 in an account paying 4.65% simple interest. How long will it take to earn $150 in interest?
Answers
Answer:
0.837
Step-by-step explanation:
3850*4.65%=179.025
150/179.025=0.837
0.837
Of the animals at a pet show, 3/8 were cats and 4/8 were dogs. The rest of the animals were rabbits. What fraction of the animals were rabbits?
Answers
Answer:
1/8 Of the animals are rabbits.
Step-by-step explanation:
3/8 Cats + 4/8 Dogs = 7/8
1/8 Is all you have room left for so 1/8 would be rabbits.
Answer:
1/8.
Step-by-step explanation:
Fraction of rabbits = 1 - (3/7 + 4/8)
= 1 - 7/8
= 8/8 - 7/8
= 1/8.
help what's the answer??
Answers
= 69/12 - 8/12 - 30/12
= 31/12
Find the area of the figure below. ANSWER in NUMBER ONLY
Answers
==================================================
Work Shown:
area = base*height
area = 8*10
area = 80 square cm
The slanted sides aren't used. We only use the horizontal base 8 and vertical height 10. The base and height are always perpendicular to one another.
Assuming p: she is beautiful,q :she is clever,the verbal form of ~p^ (~q) is she is beautiful but not clever. she is beautiful and clever she is not beautiful and not clever.she is beautiful or not clever.
Answers
Answer:
C. she is not beautiful and not clever.
Step-by-step explanation:
A. she is beautiful but not clever. B. she is beautiful and clever
C. she is not beautiful and not clever.
D. she is beautiful or not clever.
p: she is beautiful
q :she is clever
~p^ (~q) in verbal form
~p = she is not beautiful
~q = she is not clever
~p^ (~q) = she is not beautiful and not clever.
C. she is not beautiful and not clever.
Determine the perimeter of the figure below
Answers
Answer:
39 feet
Step-by-step explanation:
p = 15 + 8 + 10 + 6
p = 39
39 feet
Review the graph of complex number z. On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (negative 3, 1). What is the modulus of z?
Edge
Answers
Answer:
The modulus of z is [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Complex number:
A complex number, given by:
[tex]z = x + iy[/tex]
Can be represented also as a point (x,y).
The modulus is given by:
[tex]|z| = \sqrt{x^2 + y^2}[/tex]
Point z is at (negative 3, 1). What is the modulus of z?
[tex]x = -3, y = 1[/tex]. So
[tex]|z| = \sqrt{x^2 + y^2} = \sqrt{(-3)^2+1^2} = \sqrt{10}[/tex]
The modulus of z is [tex]\sqrt{10}[/tex]
Answer:
-2
Step-by-step explanation:
if this is the right problem it is -2
The length of a rectangle is 5 inches longer than it is wide. If the area is 84 square inches, what are the
dimensions of the rectangle?
The width, or shorter side is i inches
Enter an integer or decimal number (more..
inches
The length, or longer side is
Answers
Answer:
b = 7 inches and l = 12 inches
Step-by-step explanation:
Given that,
The area of a rectangle, A = 84 sq inches
Let the width is b.
Length = (5+b)
The area of a rectangle is given by :
A = lb
So,
[tex]84=b\times (5+b)\\\\b^2+5b-84=0\\\\(b-7)(b+12)=0\\\\b=7\ in, b =-12\ in[/tex]
Neglecting negative value,
b = 7 inches
Length, l = 5+b = 5+7
l = 12 inches
which ordered pair is a solution to the system of inequalities graphed here?
Answers
Step-by-step explanation:
-3,4 Is the answer Is it right or wrong if it is true plz mark me as brainliest
Answer:
Ano is correct
Step-by-step explanation:
-3,4is theoretically correct answer
1. The arithmetic mean of roots of the quadratic equation x^2- 10x+16=0 is
Answers
Answer:
5
Step-by-step explanation:
x^2 - 10x + 16 = 0
factor
(x - 2)(x - 8) = 0
roots
x = {2, 8}
mean of roots
a = (2 + 8) /2
a = 5
The ratio of girls to boys in a particular classroom is 4:3. What fraction of the total number of students are boys?
The ratio of boys to the total number of students in a particular classroom is
Answers
Answer:
3:7
Step-by-step explanation:
We know that there are 4 girls and 3 boys and 4+3=7.
